Datasets:
Codyfederer
/
synthia-tool-calling-tokenized

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
41
4.1k
attention_mask
listlengths
41
4.1k
labels
listlengths
41
4.1k
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 23324, 528, 496, 2544, 600, 3590, 49115, 6436, 236764, 2338, 564, 2765, 73669, 531, 1041, 6485, 236761, 3792, 236789, 236751, 1460, 1390, 5315, 236764, 740, 611, 2426, 506, 1873, 2862, 1938, 573, 623, 17224, 111524, 18671, 236775, 1699, 506, 2862, 23245, 5904, 236881, 564, 1461, 531, 1281, 1061, 3385, 532, 2436, 1670, 236761, 4298, 236764, 768, 600, 4146, 236764, 1161, 506, 2862, 20297, 20001, 5904, 531, 18840, 1061, 4803, 3385, 18560, 236761, 2024, 768, 506, 1171, 2918, 20269, 1547, 506, 2862, 5404, 563, 6133, 653, 506, 2544, 5889, 236789, 236745, 9456, 236764, 2056, 3182, 872, 623, 9435, 71868, 236775, 5205, 237028, 20890, 6739, 496, 2606, 529, 49115, 14767, 236761, 564, 236858, 236753, 1133, 531, 10769, 1800, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 22037, 1083, 623, 17224, 111524, 18671, 827, 623, 4002, 236779, 9707, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 131770, 236779, 20845, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 39588, 1083, 623, 84203, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 22037, 1083, 623, 17224, 111524, 18671, 827, 623, 16350, 236779, 58043, 236779, 86546, 1083, 623, 73878, 1044, 827, 623, 20297, 236779, 20001, 1083, 623, 78824, 2669, 67684, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 22037, 1083, 623, 14563, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236770, 236828, 236761, 236812, 236810, 236764, 623, 131770, 236779, 20845, 1083, 236743, 236778, 236770, 236810, 236771, 236771, 236771, 236771, 236764, 623, 16350, 236779, 5565, 1083, 623, 236800, 236832, 236828, 236761, 236825, 236799, 827, 623, 39588, 1083, 623, 69902, 827, 623, 27617, 1083, 623, 38556, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 1534, 506, 1156, 49115, 236772, 10619, 18300, 236787, 108, 1018, 17224, 111524, 18671, 568, 84203, 236787, 22618, 62902, 107, 236772, 14040, 14584, 236787, 609, 236812, 236810, 236761, 236825, 236832, 107, 236772, 12726, 6395, 236787, 609, 236770, 236761, 236778, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236770, 236764, 236778, 236800, 236812, 236764, 236810, 236825, 236832, 107, 236772, 27593, 13768, 236787, 15609, 1044, 568, 78824, 2669, 67684, 3759, 236764, 236743, 236828, 236810, 236908, 10805, 236768, 108, 1018, 9435, 71868, 568, 69902, 236787, 14563, 62902, 107, 236772, 14040, 14584, 236787, 609, 236800, 236770, 236828, 236761, 236812, 236810, 107, 236772, 12726, 6395, 236787, 609, 236800, 236832, 236828, 236761, 236825, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236778, 236764, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 107, 236772, 27593, 13768, 236787, 2301, 3759, 3671, 6984, 3819, 108, 38786, 611, 1133, 786, 531, 1845, 506, 2862, 9535, 3759, 3671, 573, 6863, 71868, 618, 1388, 531, 4133, 506, 9960, 236881, 106, 107, 105, 2364, 107, 10784, 236764, 5091, 1845, 506, 2862, 20297, 20001, 3671, 580, 6863, 71868, 568, 14563, 236768, 531, 4133, 506, 9960, 236761, 564, 1461, 531, 1460, 1217, 1061, 7003, 48068, 531, 7086, 111524, 18671, 236789, 236751, 82838, 3759, 1680, 3043, 1027, 6828, 9886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 58043, 1083, 623, 73878, 1044, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 20001, 236779, 2084, 1083, 623, 78824, 2669, 67684, 827, 623, 9707, 236779, 87295, 1083, 623, 236770, 236828, 236810, 236761, 236812, 236771, 827, 623, 2289, 236779, 126890, 1083, 623, 236800, 236772, 236825, 3794, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 9960, 1534, 506, 1156, 49115, 236772, 10619, 18300, 236787, 108, 1018, 17224, 111524, 18671, 568, 84203, 236787, 22618, 62902, 107, 236772, 14040, 14584, 236787, 609, 236812, 236810, 236761, 236825, 236832, 107, 236772, 12726, 6395, 236787, 609, 236770, 236761, 236778, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236770, 236764, 236778, 236800, 236812, 236764, 236810, 236825, 236832, 107, 236772, 27593, 13768, 236787, 15609, 1044, 568, 78824, 2669, 67684, 3759, 236764, 236743, 236828, 236810, 236908, 10805, 236768, 108, 1018, 9435, 71868, 568, 69902, 236787, 14563, 62902, 107, 236772, 14040, 14584, 236787, 609, 236800, 236770, 236828, 236761, 236812, 236810, 107, 236772, 12726, 6395, 236787, 609, 236800, 236832, 236828, 236761, 236825, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236778, 236764, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 107, 236772, 27593, 13768, 236787, 15609, 1044, 568, 78824, 2669, 67684, 3759, 236764, 236743, 236828, 236778, 236908, 10805, 236768, 107, 236772, 14584, 115716, 236787, 609, 236770, 236828, 236810, 236761, 236812, 236771, 568, 236800, 236772, 236825, 2297, 25330, 236768, 108, 111936, 12505, 236787, 107, 236770, 236761, 10508, 18300, 1407, 5213, 73878, 1044, 1018, 9935, 607, 3361, 44214, 2669, 67684, 48223, 107, 236778, 236761, 7086, 111524, 18671, 815, 496, 8427, 3715, 10805, 6317, 568, 236828, 236810, 236908, 7728, 236743, 236828, 236778, 11376, 107, 236800, 236761, 6863, 71868, 236789, 236751, 3385, 19360, 6131, 236770, 236828, 236810, 236761, 236812, 236771, 236768, 7412, 3718, 1082, 1061, 1873, 3385, 6131, 236800, 236770, 236828, 236761, 236812, 236810, 779, 22169, 3435, 43866, 9785, 506, 82838, 3759, 107, 236812, 236761, 12726, 102860, 35428, 33237, 6131, 236770, 236761, 236778, 236799, 7728, 609, 236800, 236832, 236828, 236761, 236825, 236799, 236768, 108, 38786, 611, 1133, 786, 531, 37386, 1027, 3530, 6084, 529, 1239, 12396, 653, 11327, 4767, 3671, 573, 3477, 2544, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 23324, 528, 496, 2544, 600, 3590, 49115, 6436, 236764, 2338, 564, 2765, 73669, 531, 1041, 6485, 236761, 3792, 236789, 236751, 1460, 1390, 5315, 236764, 740, 611, 2426, 506, 1873, 2862, 1938, 573, 623, 17224, 111524, 18671, 236775, 1699, 506, 2862, 23245, 5904, 236881, 564, 1461, 531, 1281, 1061, 3385, 532, 2436, 1670, 236761, 4298, 236764, 768, 600, 4146, 236764, 1161, 506, 2862, 20297, 20001, 5904, 531, 18840, 1061, 4803, 3385, 18560, 236761, 2024, 768, 506, 1171, 2918, 20269, 1547, 506, 2862, 5404, 563, 6133, 653, 506, 2544, 5889, 236789, 236745, 9456, 236764, 2056, 3182, 872, 623, 9435, 71868, 236775, 5205, 237028, 20890, 6739, 496, 2606, 529, 49115, 14767, 236761, 564, 236858, 236753, 1133, 531, 10769, 1800, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 22037, 1083, 623, 17224, 111524, 18671, 827, 623, 4002, 236779, 9707, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 131770, 236779, 20845, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 39588, 1083, 623, 84203, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 22037, 1083, 623, 17224, 111524, 18671, 827, 623, 16350, 236779, 58043, 236779, 86546, 1083, 623, 73878, 1044, 827, 623, 20297, 236779, 20001, 1083, 623, 78824, 2669, 67684, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 22037, 1083, 623, 14563, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236770, 236828, 236761, 236812, 236810, 236764, 623, 131770, 236779, 20845, 1083, 236743, 236778, 236770, 236810, 236771, 236771, 236771, 236771, 236764, 623, 16350, 236779, 5565, 1083, 623, 236800, 236832, 236828, 236761, 236825, 236799, 827, 623, 39588, 1083, 623, 69902, 827, 623, 27617, 1083, 623, 38556, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 1534, 506, 1156, 49115, 236772, 10619, 18300, 236787, 108, 1018, 17224, 111524, 18671, 568, 84203, 236787, 22618, 62902, 107, 236772, 14040, 14584, 236787, 609, 236812, 236810, 236761, 236825, 236832, 107, 236772, 12726, 6395, 236787, 609, 236770, 236761, 236778, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236770, 236764, 236778, 236800, 236812, 236764, 236810, 236825, 236832, 107, 236772, 27593, 13768, 236787, 15609, 1044, 568, 78824, 2669, 67684, 3759, 236764, 236743, 236828, 236810, 236908, 10805, 236768, 108, 1018, 9435, 71868, 568, 69902, 236787, 14563, 62902, 107, 236772, 14040, 14584, 236787, 609, 236800, 236770, 236828, 236761, 236812, 236810, 107, 236772, 12726, 6395, 236787, 609, 236800, 236832, 236828, 236761, 236825, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236778, 236764, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 107, 236772, 27593, 13768, 236787, 2301, 3759, 3671, 6984, 3819, 108, 38786, 611, 1133, 786, 531, 1845, 506, 2862, 9535, 3759, 3671, 573, 6863, 71868, 618, 1388, 531, 4133, 506, 9960, 236881, 106, 107, 105, 2364, 107, 10784, 236764, 5091, 1845, 506, 2862, 20297, 20001, 3671, 580, 6863, 71868, 568, 14563, 236768, 531, 4133, 506, 9960, 236761, 564, 1461, 531, 1460, 1217, 1061, 7003, 48068, 531, 7086, 111524, 18671, 236789, 236751, 82838, 3759, 1680, 3043, 1027, 6828, 9886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 58043, 1083, 623, 73878, 1044, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 20001, 236779, 2084, 1083, 623, 78824, 2669, 67684, 827, 623, 9707, 236779, 87295, 1083, 623, 236770, 236828, 236810, 236761, 236812, 236771, 827, 623, 2289, 236779, 126890, 1083, 623, 236800, 236772, 236825, 3794, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 9960, 1534, 506, 1156, 49115, 236772, 10619, 18300, 236787, 108, 1018, 17224, 111524, 18671, 568, 84203, 236787, 22618, 62902, 107, 236772, 14040, 14584, 236787, 609, 236812, 236810, 236761, 236825, 236832, 107, 236772, 12726, 6395, 236787, 609, 236770, 236761, 236778, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236770, 236764, 236778, 236800, 236812, 236764, 236810, 236825, 236832, 107, 236772, 27593, 13768, 236787, 15609, 1044, 568, 78824, 2669, 67684, 3759, 236764, 236743, 236828, 236810, 236908, 10805, 236768, 108, 1018, 9435, 71868, 568, 69902, 236787, 14563, 62902, 107, 236772, 14040, 14584, 236787, 609, 236800, 236770, 236828, 236761, 236812, 236810, 107, 236772, 12726, 6395, 236787, 609, 236800, 236832, 236828, 236761, 236825, 236799, 107, 236772, 42716, 26036, 236787, 236743, 236778, 236764, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 107, 236772, 27593, 13768, 236787, 15609, 1044, 568, 78824, 2669, 67684, 3759, 236764, 236743, 236828, 236778, 236908, 10805, 236768, 107, 236772, 14584, 115716, 236787, 609, 236770, 236828, 236810, 236761, 236812, 236771, 568, 236800, 236772, 236825, 2297, 25330, 236768, 108, 111936, 12505, 236787, 107, 236770, 236761, 10508, 18300, 1407, 5213, 73878, 1044, 1018, 9935, 607, 3361, 44214, 2669, 67684, 48223, 107, 236778, 236761, 7086, 111524, 18671, 815, 496, 8427, 3715, 10805, 6317, 568, 236828, 236810, 236908, 7728, 236743, 236828, 236778, 11376, 107, 236800, 236761, 6863, 71868, 236789, 236751, 3385, 19360, 6131, 236770, 236828, 236810, 236761, 236812, 236771, 236768, 7412, 3718, 1082, 1061, 1873, 3385, 6131, 236800, 236770, 236828, 236761, 236812, 236810, 779, 22169, 3435, 43866, 9785, 506, 82838, 3759, 107, 236812, 236761, 12726, 102860, 35428, 33237, 6131, 236770, 236761, 236778, 236799, 7728, 609, 236800, 236832, 236828, 236761, 236825, 236799, 236768, 108, 38786, 611, 1133, 786, 531, 37386, 1027, 3530, 6084, 529, 1239, 12396, 653, 11327, 4767, 3671, 573, 3477, 2544, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 1202, 611, 531, 1601, 786, 18840, 1070, 11739, 699, 54054, 600, 564, 236789, 560, 1010, 24595, 236761, 5912, 236764, 564, 1461, 531, 3050, 910, 13690, 5022, 2480, 531, 5811, 855, 837, 5906, 2473, 577, 657, 4652, 529, 13011, 855, 236761, 5715, 236789, 236751, 496, 5498, 886, 699, 496, 9865, 7489, 43768, 236787, 756, 31163, 18578, 236761, 62292, 1484, 236764, 564, 4305, 1041, 6214, 2613, 38599, 236761, 7685, 1719, 528, 1590, 11906, 1133, 496, 28376, 573, 496, 18932, 564, 740, 236789, 236745, 1769, 1063, 236761, 564, 1281, 564, 93982, 872, 236764, 840, 564, 236789, 236757, 4875, 531, 1386, 2432, 1447, 236761, 18692, 564, 974, 834, 23186, 564, 1451, 71230, 236764, 840, 564, 2514, 625, 3075, 236761, 564, 54650, 564, 1164, 1461, 531, 776, 2480, 7085, 6890, 600, 18840, 236779, 828, 5904, 580, 672, 1816, 532, 3442, 786, 1144, 611, 1586, 236761, 564, 1202, 531, 1281, 768, 993, 236789, 236751, 496, 3759, 529, 39850, 653, 4614, 528, 1590, 600, 564, 740, 1161, 531, 8214, 1217, 564, 6060, 1239, 18361, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236810, 236828, 236764, 623, 66387, 1083, 623, 3386, 74235, 840, 172556, 827, 623, 115045, 236779, 202685, 1083, 3714, 37918, 1788, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 1145, 13802, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 4751, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 61475, 1083, 236743, 236771, 236761, 236812, 236778, 1263, 623, 2478, 236779, 86708, 1083, 11058, 5432, 514, 16596, 827, 623, 1508, 236772, 500, 1045, 813, 827, 623, 115045, 67324, 827, 623, 500, 27062, 12614, 14255, 623, 37716, 236779, 86546, 1083, 3714, 13815, 18688, 236779, 8607, 1083, 623, 114292, 827, 623, 115045, 236779, 7861, 852, 1083, 623, 11480, 827, 623, 30558, 236779, 163093, 236779, 152593, 1083, 11058, 222792, 8120, 529, 23153, 827, 623, 71556, 15925, 531, 4006, 1935, 1807, 106, 107, 105, 4368, 107, 818, 3671, 529, 43768, 236789, 236751, 6064, 21577, 496, 3996, 13690, 8781, 607, 2132, 21255, 573, 4652, 10834, 236787, 108, 1018, 219699, 3245, 53121, 107, 236772, 4819, 13690, 33011, 568, 37918, 1788, 236743, 236832, 236778, 10014, 39850, 236743, 236825, 236810, 11376, 107, 236772, 2969, 3836, 25046, 568, 236810, 236828, 236908, 12732, 236768, 607, 5158, 1265, 236772, 53507, 6791, 236777, 2514, 625, 3075, 1373, 107, 236772, 14533, 4614, 4535, 568, 236812, 236778, 11376, 9785, 8977, 12614, 573, 35652, 108, 1018, 3503, 32180, 53163, 53121, 107, 236770, 236761, 130691, 49749, 16596, 17660, 568, 15455, 13690, 7924, 236768, 107, 236778, 236761, 85337, 1265, 236772, 500, 1045, 813, 6791, 15126, 16134, 573, 496, 18932, 1373, 600, 1451, 2080, 531, 1265, 236772, 87144, 208368, 107, 236800, 236761, 4819, 13690, 43866, 568, 4751, 236786, 37918, 1788, 8376, 236768, 20226, 15318, 11734, 108, 1018, 25151, 32032, 53163, 53121, 107, 236772, 90434, 48170, 2256, 13646, 1343, 1265, 236772, 15443, 107, 236772, 25179, 35652, 23363, 6791, 42090, 531, 776, 2480, 1373, 107, 236772, 61242, 573, 13690, 16856, 6791, 32042, 564, 93982, 872, 1373, 108, 1018, 201430, 53121, 107, 236770, 236761, 22282, 77372, 2523, 5603, 6607, 531, 3421, 49749, 16596, 5013, 107, 236778, 236761, 41276, 31044, 25046, 3997, 1894, 107, 236800, 236761, 47323, 10270, 4414, 6868, 1343, 4841, 5609, 9697, 107, 236812, 236761, 26295, 573, 623, 15466, 9989, 236775, 22595, 753, 506, 8376, 529, 30720, 532, 13699, 1451, 2080, 531, 43110, 57102, 24060, 768, 5609, 69708, 108, 112181, 3831, 1800, 3629, 4652, 26401, 532, 22415, 35652, 3435, 236761, 40502, 26648, 2426, 236772, 1365, 607, 13690, 12126, 3213, 1093, 4547, 5001, 96998, 1651, 3788, 580, 914, 23363, 531, 4006, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1594, 672, 607, 2264, 886, 753, 1590, 236789, 236751, 2774, 236774, 30548, 236789, 236751, 6064, 236787, 756, 31163, 16186, 62292, 1484, 236764, 564, 740, 236789, 236745, 4646, 564, 236789, 560, 1010, 23555, 872, 573, 236743, 236800, 1518, 3016, 236761, 3551, 7205, 3953, 11747, 236743, 236770, 236771, 2148, 2069, 532, 564, 2810, 236789, 236745, 974, 531, 17159, 607, 1116, 236761, 564, 236789, 236757, 4875, 531, 4196, 3188, 236764, 840, 6494, 564, 1164, 4665, 7564, 531, 6745, 236761, 564, 7976, 564, 1451, 817, 1063, 532, 7562, 4326, 236764, 840, 564, 740, 236789, 236745, 236761, 564, 236789, 560, 1010, 68797, 528, 506, 59195, 580, 38025, 753, 625, 7351, 496, 2268, 236764, 840, 564, 2036, 2597, 1133, 564, 236789, 236757, 107217, 7085, 9793, 18840, 236779, 828, 1570, 532, 10769, 1116, 13690, 8781, 531, 43768, 236789, 236751, 236761, 564, 236789, 236757, 75239, 1800, 4928, 2523, 16596, 532, 13690, 118401, 753, 1451, 672, 577, 496, 3364, 13018, 1523, 692, 1374, 108616, 3421, 528, 1023, 14929, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236825, 236810, 236764, 623, 15455, 236779, 66387, 1083, 623, 6004, 809, 1275, 827, 623, 115045, 236779, 202685, 1083, 3714, 236759, 6287, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 5843, 522, 1083, 236743, 236771, 236761, 236832, 236825, 236764, 623, 30554, 9342, 1788, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 22752, 522, 236779, 59078, 1083, 236743, 236771, 236761, 236810, 236812, 1263, 623, 2478, 236779, 86708, 1083, 11058, 10774, 16596, 827, 623, 115045, 118401, 827, 623, 2289, 36744, 827, 623, 162497, 54460, 14255, 623, 6875, 884, 236779, 28263, 1083, 3714, 157063, 236779, 25109, 1083, 623, 115045, 1894, 827, 623, 57362, 236779, 154125, 1083, 11058, 5432, 514, 71884, 827, 623, 127037, 14255, 623, 619, 99282, 236779, 202685, 1083, 11058, 185529, 15154, 827, 623, 1508, 236772, 116641, 1935, 1807, 106, 107, 105, 4368, 107, 1018, 163447, 13768, 529, 43768, 833, 2774, 236774, 30548, 1018, 138, 107, 22186, 54054, 19717, 3188, 38317, 1534, 2523, 16596, 532, 13690, 32202, 236764, 840, 607, 9245, 13690, 20183, 236787, 108, 236909, 5213, 60282, 1018, 146, 236909, 5213, 112181, 1018, 162, 236909, 5213, 4967, 236774, 30548, 1018, 162, 236909, 107, 236909, 2819, 40686, 236909, 2819, 2819, 30104, 236909, 2819, 2819, 30104, 236909, 107, 236909, 5213, 32663, 135083, 1018, 141, 236909, 171064, 236786, 37918, 1788, 22064, 568, 1145, 13802, 236768, 139, 236909, 33677, 32717, 568, 236828, 236778, 236908, 12732, 236768, 146, 236909, 107, 236909, 5213, 236780, 31910, 115888, 1018, 139, 236909, 15207, 236772, 53507, 6791, 27611, 625, 3075, 1373, 236909, 77068, 15154, 568, 64028, 535, 981, 236768, 138, 236909, 107, 236909, 5213, 34089, 13291, 1018, 146, 236909, 236743, 236812, 236778, 236908, 568, 21903, 531, 1265, 236772, 105674, 236768, 140, 236909, 236743, 236800, 236778, 236908, 568, 33116, 524, 236764, 141236, 236768, 144, 236909, 107, 236909, 5213, 2866, 160217, 1018, 141, 236909, 62303, 6791, 27881, 1719, 11906, 1133, 46238, 138, 236909, 188429, 6791, 4881, 236789, 236745, 4646, 236743, 236800, 1518, 1373, 236909, 107, 236909, 5213, 71398, 60401, 1018, 142, 236909, 127893, 705, 3435, 900, 35652, 12614, 1109, 622, 48765, 236786, 225701, 4652, 900, 2708, 35691, 236909, 108, 1018, 19892, 98996, 72627, 53121, 138, 107, 236770, 236761, 5213, 18674, 514, 8921, 48602, 1018, 138, 107, 139, 236772, 10508, 7562, 606, 580, 2940, 236789, 236751, 32775, 13144, 6791, 60265, 2613, 38599, 232625, 45688, 3953, 11747, 236743, 236770, 236771, 1373, 138, 107, 139, 236772, 59336, 236751, 24085, 1854, 15718, 11427, 990, 236772, 116641, 2101, 2523, 3877, 108, 236778, 236761, 5213, 219699, 7178, 2335, 94028, 1018, 138, 107, 139, 236772, 43768, 6178, 25046, 618, 496, 808, 26393, 21543, 236829, 87717, 176620, 138, 107, 139, 236772, 2774, 236774, 30548, 9871, 32717, 618, 808, 15455, 118401, 236829, 2180, 109197, 19979, 108, 236800, 236761, 5213, 1489, 5034, 111125, 62503, 1018, 138, 107, 139, 236772, 5213, 23301, 27618, 41327, 66515, 10508, 1093, 7458, 699, 31044, 1919, 9553, 568, 41281, 236764, 9144, 20503, 236768, 138, 107, 139, 236772, 5213, 236823, 6287, 122483, 66515, 2774, 236774, 30548, 236789, 236751, 1624, 3831, 48268, 205946, 2470, 32717, 20226, 24576, 1894, 138, 107, 139, 236772, 5213, 12165, 497, 8813, 607, 92109, 94386, 66515, 43768, 3548, 44362, 531, 544, 6516, 1265, 236772, 500, 1045, 813, 1131, 83979, 5609, 108, 1018, 96772, 111506, 53121, 138, 107, 78109, 5213, 236775, 18674, 522, 14935, 799, 4554, 2858, 567, 236775, 1018, 19505, 26614, 236787, 138, 107, 236772, 116010, 236772, 78479, 32717, 8487, 138, 107, 236772, 171064, 12126, 19240, 531, 123852, 11933, 12466, 138, 107, 236772, 73384, 236772, 21125, 573, 9144, 49749, 15154, 138, 107, 236772, 62746, 97779, 568, 219202, 43768, 236789, 236751, 35691, 607, 2774, 236774, 30548, 236789, 236751, 15596, 54460, 236768, 108, 818, 1262, 12765, 822, 18754, 236787, 2523, 16596, 12316, 618, 496, 808, 20028, 236772, 140258, 13018, 236829, 600, 99688, 618, 3477, 44630, 39850, 653, 58258, 24976, 10167, 580, 18237, 5872, 236761, 1255, 5034, 14929, 28307, 672, 9485, 1451, 6439, 57102, 24060, 24111, 684, 236743, 236812, 236771, 236772, 236825, 236771, 236908, 2721, 580, 3361, 147515, 10056, 5254, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 7502, 236789, 236751, 6064, 753, 668, 236789, 236751, 1010, 13011, 855, 528, 506, 1125, 16656, 33208, 236761, 5715, 236789, 236751, 914, 5433, 236787, 756, 31163, 16186, 62292, 1484, 236764, 564, 35729, 236789, 236745, 10716, 657, 24063, 840, 7564, 236761, 3551, 6938, 11747, 236743, 236770, 236825, 2148, 2069, 532, 564, 35729, 236789, 236745, 2752, 3472, 1515, 1441, 9624, 236764, 711, 1581, 3622, 236761, 3143, 99388, 6667, 974, 5745, 3746, 506, 990, 236764, 532, 1056, 564, 776, 974, 1343, 236764, 668, 25681, 5724, 657, 786, 236761, 564, 6956, 3978, 1131, 600, 64570, 1012, 611, 6950, 236764, 840, 901, 1176, 506, 4491, 2234, 236789, 236751, 4890, 1082, 1041, 13315, 236761, 18692, 564, 1164, 44534, 76547, 2613, 236764, 840, 1144, 236789, 236751, 506, 1523, 236881, 53705, 92704, 17498, 7085, 9793, 18840, 236779, 828, 1570, 753, 1217, 1677, 914, 13690, 8781, 10769, 236881, 564, 236789, 236757, 75239, 672, 756, 190333, 92704, 236789, 7824, 753, 1451, 600, 10128, 496, 1607, 4652, 22427, 1082, 43768, 236789, 236751, 10977, 25046, 653, 2774, 236774, 30548, 236789, 236751, 32717, 236881, 18975, 692, 56856, 23682, 4143, 1948, 2802, 573, 18361, 1133, 7502, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236832, 236810, 236764, 623, 15455, 236779, 66387, 1083, 623, 1145, 13802, 607, 38673, 25289, 827, 623, 115045, 236779, 202685, 1083, 11058, 3983, 38976, 1788, 827, 623, 1508, 236772, 65655, 25046, 827, 623, 115045, 34549, 827, 623, 721, 11354, 24085, 29615, 14255, 623, 37716, 236779, 86546, 1083, 3714, 157063, 236779, 28438, 116722, 1083, 11058, 25733, 529, 44507, 91041, 11297, 236765, 11644, 76547, 2613, 1606, 14255, 623, 193274, 236779, 4499, 2357, 1083, 11058, 1045, 5843, 524, 13690, 37184, 827, 623, 9731, 525, 205946, 49185, 14255, 623, 88933, 236779, 23184, 1083, 623, 11037, 616, 699, 43768, 236789, 236751, 10977, 25046, 1343, 8398, 1662, 27248, 9935, 236764, 532, 699, 2774, 236774, 30548, 236789, 236751, 32717, 1343, 5158, 39850, 4319, 1082, 47857, 55882, 23179, 623, 17185, 236779, 85038, 847, 1083, 11058, 4212, 83764, 2802, 531, 64570, 6607, 827, 623, 4925, 3997, 21144, 573, 99388, 25289, 827, 623, 186655, 33999, 11682, 573, 25046, 3997, 99471, 106, 107, 105, 4368, 107, 1018, 163447, 32180, 13768, 236787, 7502, 7728, 236761, 43768, 7728, 236761, 2774, 236774, 30548, 1018, 138, 108, 236909, 5213, 60282, 1018, 152, 236909, 5213, 27359, 1018, 166, 236909, 5213, 112181, 1018, 162, 236909, 5213, 4967, 236774, 30548, 1018, 162, 236909, 107, 236909, 2819, 29118, 236909, 2819, 2819, 1611, 236909, 2819, 2819, 30104, 236909, 2819, 2819, 30104, 236909, 107, 236909, 5213, 203481, 27242, 1018, 146, 236909, 753, 236771, 236761, 236832, 236810, 568, 3374, 5676, 236768, 153, 236909, 753, 236771, 236761, 236810, 236828, 167, 1109, 753, 236771, 236761, 236825, 236810, 167, 236909, 107, 236909, 5213, 32663, 32180, 33868, 1018, 142, 236909, 1804, 525, 205946, 49185, 147, 236909, 105701, 43866, 153, 236909, 105701, 118401, 154, 236909, 107, 236909, 5213, 3503, 105701, 111355, 1018, 1109, 6715, 38976, 1788, 568, 236828, 236810, 28585, 42353, 1662, 2376, 683, 236909, 15207, 236772, 65655, 25046, 568, 236810, 236828, 11376, 148, 236909, 168946, 568, 236828, 236778, 11376, 162, 236909, 107, 236909, 5213, 236780, 31910, 94028, 1018, 145, 236909, 2261, 2930, 34549, 6791, 14070, 236789, 236751, 506, 1523, 98718, 1109, 15207, 236772, 53507, 6791, 27611, 625, 3075, 1373, 236909, 77068, 15154, 152, 236909, 107, 236909, 5213, 15162, 13863, 100335, 1018, 139, 236909, 29202, 34187, 1890, 13315, 3861, 568, 39633, 236768, 1109, 23531, 35652, 12614, 145, 236909, 49354, 15154, 568, 64028, 535, 981, 236768, 140, 236909, 108, 1018, 188854, 32180, 148666, 573, 7502, 53121, 138, 107, 236770, 236761, 5213, 22695, 1662, 171064, 16130, 85358, 2376, 683, 1018, 138, 107, 139, 236772, 30502, 43768, 236789, 236751, 10977, 25046, 653, 2774, 236774, 30548, 236789, 236751, 58258, 32717, 236764, 7502, 236789, 236751, 39850, 99688, 618, 808, 9731, 525, 27248, 236829, 6791, 3203, 5135, 6667, 974, 5745, 827, 623, 190333, 92704, 1373, 138, 107, 139, 236772, 1174, 8398, 3213, 8110, 4652, 573, 5213, 21173, 236772, 28384, 30122, 1018, 618, 623, 1045, 2181, 236775, 4319, 1082, 1265, 236772, 36141, 653, 13690, 24976, 138, 108, 236778, 236761, 5213, 125912, 130550, 2109, 1018, 138, 107, 139, 236772, 4923, 11127, 563, 49035, 528, 5213, 9731, 525, 25289, 1018, 568, 12549, 531, 6607, 236786, 3203, 5135, 236768, 4319, 1082, 801, 3318, 153658, 34328, 138, 107, 139, 236772, 669, 236743, 236770, 236825, 236772, 3704, 236772, 947, 2369, 236789, 236751, 47722, 6791, 49912, 3472, 1515, 1441, 9624, 1373, 14004, 496, 5213, 144964, 62163, 1018, 7492, 568, 104161, 15315, 5603, 236768, 138, 108, 236800, 236761, 5213, 3321, 36975, 125047, 1018, 138, 107, 139, 236772, 623, 3689, 236789, 236751, 506, 1523, 7462, 11387, 5213, 175756, 176620, 125546, 496, 52560, 531, 864, 92506, 699, 62712, 1280, 7880, 138, 107, 139, 236772, 30502, 43768, 236789, 236751, 5158, 623, 42090, 531, 776, 2480, 2098, 7502, 3831, 5213, 27815, 107187, 35163, 1018, 138, 108, 1018, 4396, 742, 91330, 53121, 138, 107, 236770, 236761, 5213, 110613, 1804, 525, 4471, 27335, 1018, 138, 107, 139, 236772, 5213, 10174, 524, 785, 1948, 2802, 1018, 1271, 4923, 39850, 563, 808, 2064, 742, 236829, 768, 24085, 25289, 659, 8476, 138, 107, 139, 236772, 5213, 42620, 11554, 1624, 15298, 1018, 531, 14245, 99388, 1183, 4342, 568, 39633, 4771, 236787, 236743, 236812, 5695, 1680, 2369, 236789, 236751, 12089, 236768, 138, 108, 236778, 236761, 5213, 236796, 132653, 51062, 1018, 138, 107, 139, 236772, 1701, 7502, 236787, 5213, 23423, 629, 2693, 236772, 41889, 163162, 1018, 531, 544, 6516, 38673, 39850, 1131, 41109, 2608, 236772, 73260, 138, 107, 139, 236772, 1701, 43768, 236787, 5213, 148823, 11790, 28023, 1018, 35007, 40240, 531, 53591, 2352, 138, 107, 139, 236772, 1701, 2774, 236774, 30548, 236787, 5213, 15344, 8931, 236772, 78479, 32717, 4402, 1018, 607, 24240, 67981, 699, 1440, 236772, 6061, 114988, 6296, 138, 108, 236800, 236761, 5213, 119376, 705, 34428, 1018, 138, 107, 139, 236772, 8600, 5213, 236775, 18674, 522, 13863, 84304, 236775, 1018, 573, 54054, 2351, 236743, 236810, 1518, 529, 5588, 236764, 132187, 1724, 607, 236787, 138, 107, 141, 236772, 4819, 32717, 14900, 900, 38673, 27248, 25268, 568, 5282, 7502, 236768, 138, 107, 141, 236772, 157542, 149366, 71884, 568, 236770, 236825, 594, 111687, 236764, 14059, 847, 236768, 138, 108, 1018, 3503, 98964, 53121, 138, 107, 818, 623, 190333, 92704, 236775, 7824, 9282, 496, 5213, 98644, 175659, 4652, 22427, 1018, 9245, 699, 13690, 60379, 568, 112181, 236768, 653, 24976, 568, 4967, 236774, 30548, 769, 158189, 7502, 236789, 236751, 38673, 25289, 1492, 1451, 6422, 236743, 236800, 236781, 66431, 236787, 138, 107, 236772, 92942, 876, 96998, 529, 914, 13011, 236772, 725, 30122, 138, 107, 236772, 41244, 496, 623, 10934, 1624, 236775, 531, 39844, 24085, 5210, 573, 3496, 138, 107, 236772, 140798, 236751, 506, 149366, 30152, 8881, 1343, 28251, 49749, 15154, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 1202, 611, 531, 1601, 786, 18840, 1070, 11739, 699, 54054, 600, 564, 236789, 560, 1010, 24595, 236761, 5912, 236764, 564, 1461, 531, 3050, 910, 13690, 5022, 2480, 531, 5811, 855, 837, 5906, 2473, 577, 657, 4652, 529, 13011, 855, 236761, 5715, 236789, 236751, 496, 5498, 886, 699, 496, 9865, 7489, 43768, 236787, 756, 31163, 18578, 236761, 62292, 1484, 236764, 564, 4305, 1041, 6214, 2613, 38599, 236761, 7685, 1719, 528, 1590, 11906, 1133, 496, 28376, 573, 496, 18932, 564, 740, 236789, 236745, 1769, 1063, 236761, 564, 1281, 564, 93982, 872, 236764, 840, 564, 236789, 236757, 4875, 531, 1386, 2432, 1447, 236761, 18692, 564, 974, 834, 23186, 564, 1451, 71230, 236764, 840, 564, 2514, 625, 3075, 236761, 564, 54650, 564, 1164, 1461, 531, 776, 2480, 7085, 6890, 600, 18840, 236779, 828, 5904, 580, 672, 1816, 532, 3442, 786, 1144, 611, 1586, 236761, 564, 1202, 531, 1281, 768, 993, 236789, 236751, 496, 3759, 529, 39850, 653, 4614, 528, 1590, 600, 564, 740, 1161, 531, 8214, 1217, 564, 6060, 1239, 18361, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236810, 236828, 236764, 623, 66387, 1083, 623, 3386, 74235, 840, 172556, 827, 623, 115045, 236779, 202685, 1083, 3714, 37918, 1788, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 1145, 13802, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 4751, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 61475, 1083, 236743, 236771, 236761, 236812, 236778, 1263, 623, 2478, 236779, 86708, 1083, 11058, 5432, 514, 16596, 827, 623, 1508, 236772, 500, 1045, 813, 827, 623, 115045, 67324, 827, 623, 500, 27062, 12614, 14255, 623, 37716, 236779, 86546, 1083, 3714, 13815, 18688, 236779, 8607, 1083, 623, 114292, 827, 623, 115045, 236779, 7861, 852, 1083, 623, 11480, 827, 623, 30558, 236779, 163093, 236779, 152593, 1083, 11058, 222792, 8120, 529, 23153, 827, 623, 71556, 15925, 531, 4006, 1935, 1807, 106, 107, 105, 4368, 107, 818, 3671, 529, 43768, 236789, 236751, 6064, 21577, 496, 3996, 13690, 8781, 607, 2132, 21255, 573, 4652, 10834, 236787, 108, 1018, 219699, 3245, 53121, 107, 236772, 4819, 13690, 33011, 568, 37918, 1788, 236743, 236832, 236778, 10014, 39850, 236743, 236825, 236810, 11376, 107, 236772, 2969, 3836, 25046, 568, 236810, 236828, 236908, 12732, 236768, 607, 5158, 1265, 236772, 53507, 6791, 236777, 2514, 625, 3075, 1373, 107, 236772, 14533, 4614, 4535, 568, 236812, 236778, 11376, 9785, 8977, 12614, 573, 35652, 108, 1018, 3503, 32180, 53163, 53121, 107, 236770, 236761, 130691, 49749, 16596, 17660, 568, 15455, 13690, 7924, 236768, 107, 236778, 236761, 85337, 1265, 236772, 500, 1045, 813, 6791, 15126, 16134, 573, 496, 18932, 1373, 600, 1451, 2080, 531, 1265, 236772, 87144, 208368, 107, 236800, 236761, 4819, 13690, 43866, 568, 4751, 236786, 37918, 1788, 8376, 236768, 20226, 15318, 11734, 108, 1018, 25151, 32032, 53163, 53121, 107, 236772, 90434, 48170, 2256, 13646, 1343, 1265, 236772, 15443, 107, 236772, 25179, 35652, 23363, 6791, 42090, 531, 776, 2480, 1373, 107, 236772, 61242, 573, 13690, 16856, 6791, 32042, 564, 93982, 872, 1373, 108, 1018, 201430, 53121, 107, 236770, 236761, 22282, 77372, 2523, 5603, 6607, 531, 3421, 49749, 16596, 5013, 107, 236778, 236761, 41276, 31044, 25046, 3997, 1894, 107, 236800, 236761, 47323, 10270, 4414, 6868, 1343, 4841, 5609, 9697, 107, 236812, 236761, 26295, 573, 623, 15466, 9989, 236775, 22595, 753, 506, 8376, 529, 30720, 532, 13699, 1451, 2080, 531, 43110, 57102, 24060, 768, 5609, 69708, 108, 112181, 3831, 1800, 3629, 4652, 26401, 532, 22415, 35652, 3435, 236761, 40502, 26648, 2426, 236772, 1365, 607, 13690, 12126, 3213, 1093, 4547, 5001, 96998, 1651, 3788, 580, 914, 23363, 531, 4006, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1594, 672, 607, 2264, 886, 753, 1590, 236789, 236751, 2774, 236774, 30548, 236789, 236751, 6064, 236787, 756, 31163, 16186, 62292, 1484, 236764, 564, 740, 236789, 236745, 4646, 564, 236789, 560, 1010, 23555, 872, 573, 236743, 236800, 1518, 3016, 236761, 3551, 7205, 3953, 11747, 236743, 236770, 236771, 2148, 2069, 532, 564, 2810, 236789, 236745, 974, 531, 17159, 607, 1116, 236761, 564, 236789, 236757, 4875, 531, 4196, 3188, 236764, 840, 6494, 564, 1164, 4665, 7564, 531, 6745, 236761, 564, 7976, 564, 1451, 817, 1063, 532, 7562, 4326, 236764, 840, 564, 740, 236789, 236745, 236761, 564, 236789, 560, 1010, 68797, 528, 506, 59195, 580, 38025, 753, 625, 7351, 496, 2268, 236764, 840, 564, 2036, 2597, 1133, 564, 236789, 236757, 107217, 7085, 9793, 18840, 236779, 828, 1570, 532, 10769, 1116, 13690, 8781, 531, 43768, 236789, 236751, 236761, 564, 236789, 236757, 75239, 1800, 4928, 2523, 16596, 532, 13690, 118401, 753, 1451, 672, 577, 496, 3364, 13018, 1523, 692, 1374, 108616, 3421, 528, 1023, 14929, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236825, 236810, 236764, 623, 15455, 236779, 66387, 1083, 623, 6004, 809, 1275, 827, 623, 115045, 236779, 202685, 1083, 3714, 236759, 6287, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 5843, 522, 1083, 236743, 236771, 236761, 236832, 236825, 236764, 623, 30554, 9342, 1788, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 22752, 522, 236779, 59078, 1083, 236743, 236771, 236761, 236810, 236812, 1263, 623, 2478, 236779, 86708, 1083, 11058, 10774, 16596, 827, 623, 115045, 118401, 827, 623, 2289, 36744, 827, 623, 162497, 54460, 14255, 623, 6875, 884, 236779, 28263, 1083, 3714, 157063, 236779, 25109, 1083, 623, 115045, 1894, 827, 623, 57362, 236779, 154125, 1083, 11058, 5432, 514, 71884, 827, 623, 127037, 14255, 623, 619, 99282, 236779, 202685, 1083, 11058, 185529, 15154, 827, 623, 1508, 236772, 116641, 1935, 1807, 106, 107, 105, 4368, 107, 1018, 163447, 13768, 529, 43768, 833, 2774, 236774, 30548, 1018, 138, 107, 22186, 54054, 19717, 3188, 38317, 1534, 2523, 16596, 532, 13690, 32202, 236764, 840, 607, 9245, 13690, 20183, 236787, 108, 236909, 5213, 60282, 1018, 146, 236909, 5213, 112181, 1018, 162, 236909, 5213, 4967, 236774, 30548, 1018, 162, 236909, 107, 236909, 2819, 40686, 236909, 2819, 2819, 30104, 236909, 2819, 2819, 30104, 236909, 107, 236909, 5213, 32663, 135083, 1018, 141, 236909, 171064, 236786, 37918, 1788, 22064, 568, 1145, 13802, 236768, 139, 236909, 33677, 32717, 568, 236828, 236778, 236908, 12732, 236768, 146, 236909, 107, 236909, 5213, 236780, 31910, 115888, 1018, 139, 236909, 15207, 236772, 53507, 6791, 27611, 625, 3075, 1373, 236909, 77068, 15154, 568, 64028, 535, 981, 236768, 138, 236909, 107, 236909, 5213, 34089, 13291, 1018, 146, 236909, 236743, 236812, 236778, 236908, 568, 21903, 531, 1265, 236772, 105674, 236768, 140, 236909, 236743, 236800, 236778, 236908, 568, 33116, 524, 236764, 141236, 236768, 144, 236909, 107, 236909, 5213, 2866, 160217, 1018, 141, 236909, 62303, 6791, 27881, 1719, 11906, 1133, 46238, 138, 236909, 188429, 6791, 4881, 236789, 236745, 4646, 236743, 236800, 1518, 1373, 236909, 107, 236909, 5213, 71398, 60401, 1018, 142, 236909, 127893, 705, 3435, 900, 35652, 12614, 1109, 622, 48765, 236786, 225701, 4652, 900, 2708, 35691, 236909, 108, 1018, 19892, 98996, 72627, 53121, 138, 107, 236770, 236761, 5213, 18674, 514, 8921, 48602, 1018, 138, 107, 139, 236772, 10508, 7562, 606, 580, 2940, 236789, 236751, 32775, 13144, 6791, 60265, 2613, 38599, 232625, 45688, 3953, 11747, 236743, 236770, 236771, 1373, 138, 107, 139, 236772, 59336, 236751, 24085, 1854, 15718, 11427, 990, 236772, 116641, 2101, 2523, 3877, 108, 236778, 236761, 5213, 219699, 7178, 2335, 94028, 1018, 138, 107, 139, 236772, 43768, 6178, 25046, 618, 496, 808, 26393, 21543, 236829, 87717, 176620, 138, 107, 139, 236772, 2774, 236774, 30548, 9871, 32717, 618, 808, 15455, 118401, 236829, 2180, 109197, 19979, 108, 236800, 236761, 5213, 1489, 5034, 111125, 62503, 1018, 138, 107, 139, 236772, 5213, 23301, 27618, 41327, 66515, 10508, 1093, 7458, 699, 31044, 1919, 9553, 568, 41281, 236764, 9144, 20503, 236768, 138, 107, 139, 236772, 5213, 236823, 6287, 122483, 66515, 2774, 236774, 30548, 236789, 236751, 1624, 3831, 48268, 205946, 2470, 32717, 20226, 24576, 1894, 138, 107, 139, 236772, 5213, 12165, 497, 8813, 607, 92109, 94386, 66515, 43768, 3548, 44362, 531, 544, 6516, 1265, 236772, 500, 1045, 813, 1131, 83979, 5609, 108, 1018, 96772, 111506, 53121, 138, 107, 78109, 5213, 236775, 18674, 522, 14935, 799, 4554, 2858, 567, 236775, 1018, 19505, 26614, 236787, 138, 107, 236772, 116010, 236772, 78479, 32717, 8487, 138, 107, 236772, 171064, 12126, 19240, 531, 123852, 11933, 12466, 138, 107, 236772, 73384, 236772, 21125, 573, 9144, 49749, 15154, 138, 107, 236772, 62746, 97779, 568, 219202, 43768, 236789, 236751, 35691, 607, 2774, 236774, 30548, 236789, 236751, 15596, 54460, 236768, 108, 818, 1262, 12765, 822, 18754, 236787, 2523, 16596, 12316, 618, 496, 808, 20028, 236772, 140258, 13018, 236829, 600, 99688, 618, 3477, 44630, 39850, 653, 58258, 24976, 10167, 580, 18237, 5872, 236761, 1255, 5034, 14929, 28307, 672, 9485, 1451, 6439, 57102, 24060, 24111, 684, 236743, 236812, 236771, 236772, 236825, 236771, 236908, 2721, 580, 3361, 147515, 10056, 5254, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 7502, 236789, 236751, 6064, 753, 668, 236789, 236751, 1010, 13011, 855, 528, 506, 1125, 16656, 33208, 236761, 5715, 236789, 236751, 914, 5433, 236787, 756, 31163, 16186, 62292, 1484, 236764, 564, 35729, 236789, 236745, 10716, 657, 24063, 840, 7564, 236761, 3551, 6938, 11747, 236743, 236770, 236825, 2148, 2069, 532, 564, 35729, 236789, 236745, 2752, 3472, 1515, 1441, 9624, 236764, 711, 1581, 3622, 236761, 3143, 99388, 6667, 974, 5745, 3746, 506, 990, 236764, 532, 1056, 564, 776, 974, 1343, 236764, 668, 25681, 5724, 657, 786, 236761, 564, 6956, 3978, 1131, 600, 64570, 1012, 611, 6950, 236764, 840, 901, 1176, 506, 4491, 2234, 236789, 236751, 4890, 1082, 1041, 13315, 236761, 18692, 564, 1164, 44534, 76547, 2613, 236764, 840, 1144, 236789, 236751, 506, 1523, 236881, 53705, 92704, 17498, 7085, 9793, 18840, 236779, 828, 1570, 753, 1217, 1677, 914, 13690, 8781, 10769, 236881, 564, 236789, 236757, 75239, 672, 756, 190333, 92704, 236789, 7824, 753, 1451, 600, 10128, 496, 1607, 4652, 22427, 1082, 43768, 236789, 236751, 10977, 25046, 653, 2774, 236774, 30548, 236789, 236751, 32717, 236881, 18975, 692, 56856, 23682, 4143, 1948, 2802, 573, 18361, 1133, 7502, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236832, 236810, 236764, 623, 15455, 236779, 66387, 1083, 623, 1145, 13802, 607, 38673, 25289, 827, 623, 115045, 236779, 202685, 1083, 11058, 3983, 38976, 1788, 827, 623, 1508, 236772, 65655, 25046, 827, 623, 115045, 34549, 827, 623, 721, 11354, 24085, 29615, 14255, 623, 37716, 236779, 86546, 1083, 3714, 157063, 236779, 28438, 116722, 1083, 11058, 25733, 529, 44507, 91041, 11297, 236765, 11644, 76547, 2613, 1606, 14255, 623, 193274, 236779, 4499, 2357, 1083, 11058, 1045, 5843, 524, 13690, 37184, 827, 623, 9731, 525, 205946, 49185, 14255, 623, 88933, 236779, 23184, 1083, 623, 11037, 616, 699, 43768, 236789, 236751, 10977, 25046, 1343, 8398, 1662, 27248, 9935, 236764, 532, 699, 2774, 236774, 30548, 236789, 236751, 32717, 1343, 5158, 39850, 4319, 1082, 47857, 55882, 23179, 623, 17185, 236779, 85038, 847, 1083, 11058, 4212, 83764, 2802, 531, 64570, 6607, 827, 623, 4925, 3997, 21144, 573, 99388, 25289, 827, 623, 186655, 33999, 11682, 573, 25046, 3997, 99471, 106, 107, 105, 4368, 107, 1018, 163447, 32180, 13768, 236787, 7502, 7728, 236761, 43768, 7728, 236761, 2774, 236774, 30548, 1018, 138, 108, 236909, 5213, 60282, 1018, 152, 236909, 5213, 27359, 1018, 166, 236909, 5213, 112181, 1018, 162, 236909, 5213, 4967, 236774, 30548, 1018, 162, 236909, 107, 236909, 2819, 29118, 236909, 2819, 2819, 1611, 236909, 2819, 2819, 30104, 236909, 2819, 2819, 30104, 236909, 107, 236909, 5213, 203481, 27242, 1018, 146, 236909, 753, 236771, 236761, 236832, 236810, 568, 3374, 5676, 236768, 153, 236909, 753, 236771, 236761, 236810, 236828, 167, 1109, 753, 236771, 236761, 236825, 236810, 167, 236909, 107, 236909, 5213, 32663, 32180, 33868, 1018, 142, 236909, 1804, 525, 205946, 49185, 147, 236909, 105701, 43866, 153, 236909, 105701, 118401, 154, 236909, 107, 236909, 5213, 3503, 105701, 111355, 1018, 1109, 6715, 38976, 1788, 568, 236828, 236810, 28585, 42353, 1662, 2376, 683, 236909, 15207, 236772, 65655, 25046, 568, 236810, 236828, 11376, 148, 236909, 168946, 568, 236828, 236778, 11376, 162, 236909, 107, 236909, 5213, 236780, 31910, 94028, 1018, 145, 236909, 2261, 2930, 34549, 6791, 14070, 236789, 236751, 506, 1523, 98718, 1109, 15207, 236772, 53507, 6791, 27611, 625, 3075, 1373, 236909, 77068, 15154, 152, 236909, 107, 236909, 5213, 15162, 13863, 100335, 1018, 139, 236909, 29202, 34187, 1890, 13315, 3861, 568, 39633, 236768, 1109, 23531, 35652, 12614, 145, 236909, 49354, 15154, 568, 64028, 535, 981, 236768, 140, 236909, 108, 1018, 188854, 32180, 148666, 573, 7502, 53121, 138, 107, 236770, 236761, 5213, 22695, 1662, 171064, 16130, 85358, 2376, 683, 1018, 138, 107, 139, 236772, 30502, 43768, 236789, 236751, 10977, 25046, 653, 2774, 236774, 30548, 236789, 236751, 58258, 32717, 236764, 7502, 236789, 236751, 39850, 99688, 618, 808, 9731, 525, 27248, 236829, 6791, 3203, 5135, 6667, 974, 5745, 827, 623, 190333, 92704, 1373, 138, 107, 139, 236772, 1174, 8398, 3213, 8110, 4652, 573, 5213, 21173, 236772, 28384, 30122, 1018, 618, 623, 1045, 2181, 236775, 4319, 1082, 1265, 236772, 36141, 653, 13690, 24976, 138, 108, 236778, 236761, 5213, 125912, 130550, 2109, 1018, 138, 107, 139, 236772, 4923, 11127, 563, 49035, 528, 5213, 9731, 525, 25289, 1018, 568, 12549, 531, 6607, 236786, 3203, 5135, 236768, 4319, 1082, 801, 3318, 153658, 34328, 138, 107, 139, 236772, 669, 236743, 236770, 236825, 236772, 3704, 236772, 947, 2369, 236789, 236751, 47722, 6791, 49912, 3472, 1515, 1441, 9624, 1373, 14004, 496, 5213, 144964, 62163, 1018, 7492, 568, 104161, 15315, 5603, 236768, 138, 108, 236800, 236761, 5213, 3321, 36975, 125047, 1018, 138, 107, 139, 236772, 623, 3689, 236789, 236751, 506, 1523, 7462, 11387, 5213, 175756, 176620, 125546, 496, 52560, 531, 864, 92506, 699, 62712, 1280, 7880, 138, 107, 139, 236772, 30502, 43768, 236789, 236751, 5158, 623, 42090, 531, 776, 2480, 2098, 7502, 3831, 5213, 27815, 107187, 35163, 1018, 138, 108, 1018, 4396, 742, 91330, 53121, 138, 107, 236770, 236761, 5213, 110613, 1804, 525, 4471, 27335, 1018, 138, 107, 139, 236772, 5213, 10174, 524, 785, 1948, 2802, 1018, 1271, 4923, 39850, 563, 808, 2064, 742, 236829, 768, 24085, 25289, 659, 8476, 138, 107, 139, 236772, 5213, 42620, 11554, 1624, 15298, 1018, 531, 14245, 99388, 1183, 4342, 568, 39633, 4771, 236787, 236743, 236812, 5695, 1680, 2369, 236789, 236751, 12089, 236768, 138, 108, 236778, 236761, 5213, 236796, 132653, 51062, 1018, 138, 107, 139, 236772, 1701, 7502, 236787, 5213, 23423, 629, 2693, 236772, 41889, 163162, 1018, 531, 544, 6516, 38673, 39850, 1131, 41109, 2608, 236772, 73260, 138, 107, 139, 236772, 1701, 43768, 236787, 5213, 148823, 11790, 28023, 1018, 35007, 40240, 531, 53591, 2352, 138, 107, 139, 236772, 1701, 2774, 236774, 30548, 236787, 5213, 15344, 8931, 236772, 78479, 32717, 4402, 1018, 607, 24240, 67981, 699, 1440, 236772, 6061, 114988, 6296, 138, 108, 236800, 236761, 5213, 119376, 705, 34428, 1018, 138, 107, 139, 236772, 8600, 5213, 236775, 18674, 522, 13863, 84304, 236775, 1018, 573, 54054, 2351, 236743, 236810, 1518, 529, 5588, 236764, 132187, 1724, 607, 236787, 138, 107, 141, 236772, 4819, 32717, 14900, 900, 38673, 27248, 25268, 568, 5282, 7502, 236768, 138, 107, 141, 236772, 157542, 149366, 71884, 568, 236770, 236825, 594, 111687, 236764, 14059, 847, 236768, 138, 108, 1018, 3503, 98964, 53121, 138, 107, 818, 623, 190333, 92704, 236775, 7824, 9282, 496, 5213, 98644, 175659, 4652, 22427, 1018, 9245, 699, 13690, 60379, 568, 112181, 236768, 653, 24976, 568, 4967, 236774, 30548, 769, 158189, 7502, 236789, 236751, 38673, 25289, 1492, 1451, 6422, 236743, 236800, 236781, 66431, 236787, 138, 107, 236772, 92942, 876, 96998, 529, 914, 13011, 236772, 725, 30122, 138, 107, 236772, 41244, 496, 623, 10934, 1624, 236775, 531, 39844, 24085, 5210, 573, 3496, 138, 107, 236772, 140798, 236751, 506, 149366, 30152, 8881, 1343, 28251, 49749, 15154, 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, 78219, 28647, 236761, 564, 236789, 236757, 35447, 496, 623, 29235, 833, 4585, 236775, 18669, 573, 40102, 657, 506, 3399, 3988, 532, 1202, 531, 1900, 1070, 15687, 236772, 203307, 1610, 14767, 573, 506, 2203, 236761, 669, 4762, 15852, 506, 4852, 657, 236743, 236770, 236810, 236771, 35594, 236764, 840, 564, 1202, 531, 9128, 506, 23058, 9363, 531, 4196, 2351, 1023, 7715, 236761, 4210, 600, 236764, 564, 1461, 531, 16807, 506, 4762, 236789, 236751, 3662, 4553, 623, 2400, 236940, 192010, 28752, 793, 3775, 236761, 893, 236775, 1680, 15656, 506, 1900, 237028, 4881, 611, 6060, 1800, 6555, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2543, 236779, 27617, 1083, 623, 79271, 827, 623, 1071, 236779, 27617, 1083, 623, 38556, 827, 623, 4720, 1083, 236743, 236770, 236761, 236771, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 2400, 236940, 192010, 28752, 793, 3775, 236761, 893, 827, 623, 107996, 236779, 4818, 1083, 623, 4730, 827, 623, 126773, 236779, 4256, 1083, 623, 77951, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236828, 236764, 623, 19645, 1083, 623, 192010, 28752, 793, 3775, 236761, 893, 827, 623, 5455, 236779, 22011, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 23058, 9363, 529, 236743, 236770, 236810, 236771, 35594, 657, 506, 1873, 14274, 3136, 529, 236743, 236770, 236761, 236771, 236832, 563, 5213, 236795, 236770, 236825, 236771, 236761, 236810, 236771, 84750, 138, 108, 818, 4553, 3421, 2165, 2400, 236940, 192010, 28752, 793, 3775, 236761, 893, 236929, 815, 1010, 27662, 618, 5213, 4730, 1018, 607, 496, 10805, 6317, 529, 236743, 236771, 236761, 236819, 236828, 236764, 532, 506, 155786, 2426, 6915, 10428, 236761, 1599, 740, 7162, 531, 5039, 822, 1900, 531, 672, 4553, 3421, 2180, 4342, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 78219, 28647, 236761, 564, 236789, 236757, 35447, 496, 623, 29235, 833, 4585, 236775, 18669, 573, 40102, 657, 506, 3399, 3988, 532, 1202, 531, 1900, 1070, 15687, 236772, 203307, 1610, 14767, 573, 506, 2203, 236761, 669, 4762, 15852, 506, 4852, 657, 236743, 236770, 236810, 236771, 35594, 236764, 840, 564, 1202, 531, 9128, 506, 23058, 9363, 531, 4196, 2351, 1023, 7715, 236761, 4210, 600, 236764, 564, 1461, 531, 16807, 506, 4762, 236789, 236751, 3662, 4553, 623, 2400, 236940, 192010, 28752, 793, 3775, 236761, 893, 236775, 1680, 15656, 506, 1900, 237028, 4881, 611, 6060, 1800, 6555, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2543, 236779, 27617, 1083, 623, 79271, 827, 623, 1071, 236779, 27617, 1083, 623, 38556, 827, 623, 4720, 1083, 236743, 236770, 236761, 236771, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 2400, 236940, 192010, 28752, 793, 3775, 236761, 893, 827, 623, 107996, 236779, 4818, 1083, 623, 4730, 827, 623, 126773, 236779, 4256, 1083, 623, 77951, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236828, 236764, 623, 19645, 1083, 623, 192010, 28752, 793, 3775, 236761, 893, 827, 623, 5455, 236779, 22011, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 23058, 9363, 529, 236743, 236770, 236810, 236771, 35594, 657, 506, 1873, 14274, 3136, 529, 236743, 236770, 236761, 236771, 236832, 563, 5213, 236795, 236770, 236825, 236771, 236761, 236810, 236771, 84750, 138, 108, 818, 4553, 3421, 2165, 2400, 236940, 192010, 28752, 793, 3775, 236761, 893, 236929, 815, 1010, 27662, 618, 5213, 4730, 1018, 607, 496, 10805, 6317, 529, 236743, 236771, 236761, 236819, 236828, 236764, 532, 506, 155786, 2426, 6915, 10428, 236761, 1599, 740, 7162, 531, 5039, 822, 1900, 531, 672, 4553, 3421, 2180, 4342, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 4875, 531, 2514, 872, 607, 1217, 15036, 20971, 15474, 607, 1610, 4083, 3489, 236764, 532, 564, 3588, 3418, 496, 40718, 2430, 2760, 808, 9175, 16146, 236799, 3705, 22429, 9963, 3004, 12054, 50612, 236764, 840, 564, 236789, 236757, 711, 2889, 768, 625, 100146, 607, 1041, 10521, 528, 7628, 5619, 1929, 532, 73887, 3671, 236761, 28344, 611, 33205, 910, 236743, 236800, 236771, 1346, 4803, 12714, 531, 1601, 786, 10741, 768, 910, 981, 1093, 114542, 607, 1041, 4313, 531, 1610, 4993, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16043, 236779, 7633, 1083, 78493, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 7777, 1083, 623, 162117, 133261, 236789, 236751, 73333, 9939, 1343, 506, 14970, 529, 28057, 26448, 753, 1217, 31341, 528, 1610, 44066, 204832, 528, 28834, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236771, 236753, 236785, 77118, 236771, 236760, 997, 11008, 22256, 1929, 997, 9175, 39454, 827, 623, 137112, 4073, 1083, 11058, 11008, 22256, 1929, 827, 623, 9175, 39454, 827, 623, 10541, 6139, 35434, 14255, 623, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 661, 236772, 18308, 236772, 236763, 3705, 236772, 236771, 236771, 236770, 23179, 3714, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236770, 827, 623, 7777, 1083, 623, 104071, 1679, 41372, 3799, 236789, 236751, 2258, 6192, 236787, 2088, 21543, 6775, 49603, 1343, 38161, 236761, 19653, 5026, 1015, 3548, 672, 78741, 7426, 26448, 621, 689, 236828, 236800, 236753, 236785, 689, 1794, 236825, 236785, 689, 236828, 236800, 236753, 236785, 689, 1794, 236812, 997, 3484, 109090, 997, 9175, 34703, 17617, 827, 623, 137112, 4073, 1083, 11058, 3484, 109090, 827, 623, 9175, 34703, 17617, 827, 623, 11008, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 661, 236772, 18308, 236772, 236763, 3705, 236772, 236771, 236771, 236778, 23179, 3714, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236778, 827, 623, 7777, 1083, 623, 165540, 5790, 236789, 236773, 176401, 216951, 236787, 15642, 496, 678, 20517, 13696, 684, 80282, 43133, 236789, 236751, 756, 78187, 29519, 236789, 621, 689, 236828, 236800, 236753, 236785, 689, 24224, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 236812, 236832, 19148, 822, 56884, 528, 506, 8968, 236888, 997, 9175, 227187, 997, 10541, 13184, 66733, 827, 623, 137112, 4073, 1083, 11058, 9175, 227187, 827, 623, 10541, 13184, 66733, 827, 623, 32899, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 661, 236772, 18308, 236772, 236763, 3705, 236772, 236771, 236771, 236800, 25938, 1604, 623, 21052, 1083, 3714, 5594, 236779, 5576, 1083, 1847, 236764, 623, 6725, 236779, 7633, 1083, 236743, 236800, 236771, 236764, 623, 4874, 236779, 14423, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 127096, 106, 107, 105, 4368, 107, 818, 52236, 12714, 699, 808, 9175, 16146, 236799, 3705, 236829, 12117, 8913, 607, 822, 10521, 528, 7628, 5619, 1929, 532, 73887, 3671, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 5213, 61436, 945, 833, 28057, 56852, 66515, 9963, 1171, 1868, 25010, 32407, 15333, 133261, 236789, 236751, 73333, 9939, 531, 28057, 26448, 236764, 32187, 1217, 31341, 532, 204832, 33647, 528, 1610, 532, 28834, 237028, 236746, 1982, 28981, 607, 822, 3213, 580, 7628, 5619, 1929, 532, 73887, 16823, 236761, 108, 236778, 236761, 5213, 173635, 3799, 236789, 236751, 105701, 8040, 42286, 66515, 669, 1855, 1868, 46235, 4534, 41372, 3799, 236789, 236751, 1161, 529, 2258, 531, 104184, 21543, 236764, 66051, 1610, 6073, 607, 13690, 25828, 236764, 837, 1451, 14125, 822, 12524, 4313, 531, 7628, 5619, 1929, 236789, 236751, 136090, 7912, 24214, 236761, 108, 236800, 236761, 5213, 236855, 624, 43133, 833, 9673, 20517, 32115, 66515, 669, 4168, 1868, 52416, 73887, 15154, 607, 78963, 1403, 80282, 43133, 236789, 236751, 7628, 981, 236764, 66486, 4532, 1610, 607, 21931, 26448, 237028, 236746, 9578, 11825, 1534, 1610, 4083, 532, 28885, 3671, 236761, 108, 26479, 1239, 8698, 236764, 808, 9175, 16146, 236799, 3705, 236829, 7412, 531, 114542, 607, 822, 939, 49371, 4313, 531, 1610, 4993, 236761, 1599, 1149, 1586, 910, 3004, 1800, 32977, 532, 7798, 531, 822, 981, 236761, 21284, 611, 1133, 531, 11327, 3530, 12714, 3342, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 506, 25000, 236761, 564, 236789, 236753, 1133, 531, 11327, 506, 808, 61436, 945, 833, 28057, 56852, 236829, 1868, 528, 8052, 237028, 46052, 611, 18840, 1217, 901, 3371, 133261, 236789, 236751, 9939, 531, 28057, 73887, 7359, 1133, 6381, 236772, 1340, 236772, 194764, 653, 61118, 236881, 564, 236789, 236757, 23210, 768, 910, 4313, 44066, 1041, 1852, 939, 49371, 1996, 529, 35007, 1610, 236789, 236751, 214276, 531, 28885, 204832, 236761, 18741, 236764, 2426, 768, 1027, 4803, 12714, 568, 49426, 506, 236743, 236800, 236771, 236768, 6778, 580, 672, 7824, 236764, 8229, 607, 1032, 11421, 653, 65966, 236761, 106, 107, 105, 4368, 107, 818, 808, 61436, 945, 833, 28057, 56852, 236829, 1868, 25010, 32407, 133261, 236789, 236751, 73333, 9939, 531, 506, 28057, 32955, 236789, 236751, 20622, 580, 204832, 532, 623, 206851, 2098, 837, 100146, 12030, 607, 28057, 73887, 7359, 1133, 5213, 6678, 236772, 1340, 236772, 194764, 1018, 568, 602, 41028, 236764, 13258, 5619, 236768, 532, 5213, 36772, 567, 1018, 568, 9181, 236772, 11402, 236764, 54967, 524, 3904, 769, 5978, 506, 3847, 6492, 563, 8652, 236764, 506, 50232, 529, 623, 206851, 528, 1610, 170730, 204832, 528, 28834, 236775, 12205, 614, 46836, 1534, 133261, 236789, 236751, 5663, 236764, 82775, 1353, 11710, 1657, 532, 28057, 65966, 236789, 37720, 529, 26162, 85105, 568, 236744, 236761, 236759, 1126, 25601, 521, 552, 236789, 236751, 623, 1020, 152681, 57243, 236775, 653, 119554, 6315, 236789, 236751, 2196, 28834, 769, 1174, 89560, 822, 939, 49371, 3213, 580, 1610, 236789, 236751, 214276, 532, 28885, 204832, 236761, 108, 10354, 81909, 580, 506, 21657, 528, 34980, 49040, 236787, 107, 4088, 506, 236743, 236800, 236771, 52236, 12714, 568, 8960, 506, 1171, 236743, 236800, 3505, 528, 506, 5498, 779, 7293, 528, 506, 11325, 17503, 25010, 6778, 580, 672, 3530, 133261, 236786, 57949, 5603, 236761, 3153, 236787, 107, 236772, 669, 5213, 236855, 624, 43133, 678, 20517, 8319, 1018, 568, 3274, 997, 236800, 236768, 52416, 73887, 15154, 607, 7628, 1610, 236764, 32427, 496, 25898, 2142, 528, 66051, 7426, 532, 28885, 24597, 236761, 107, 236772, 669, 5213, 173635, 3799, 2258, 3671, 1018, 568, 3274, 997, 236778, 236768, 148007, 1131, 13690, 60548, 236764, 496, 7824, 18191, 531, 7628, 5619, 1929, 236858, 236751, 136090, 7912, 24214, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 4767, 12714, 699, 506, 9866, 236743, 236778, 236832, 531, 2426, 573, 19276, 22824, 529, 672, 7824, 236881, 107, 236778, 236761, 121353, 506, 2587, 1816, 529, 506, 808, 61436, 945, 833, 28057, 56852, 236829, 1868, 568, 584, 15283, 20625, 107, 236800, 236761, 44906, 4585, 16146, 236799, 3705, 236789, 4313, 531, 822, 1852, 939, 49371, 4615, 1699, 3530, 8698, 236881, 236743, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 13733, 236743, 236800, 237028, 1184, 236858, 236751, 10769, 12668, 236761, 10352, 506, 52236, 12714, 532, 1041, 1852, 4615, 236764, 18840, 236787, 236743, 236770, 236761, 2088, 4585, 16146, 236799, 3705, 236858, 133261, 236786, 57949, 5603, 48068, 531, 1041, 939, 49371, 28023, 568, 236744, 236761, 236759, 1126, 776, 901, 1161, 3361, 186193, 1534, 133261, 236858, 236751, 5663, 16078, 124288, 532, 28885, 204832, 618, 1041, 20958, 39364, 41372, 3799, 236858, 236751, 2258, 6192, 607, 630, 543, 1725, 236858, 236751, 26448, 69458, 236743, 236778, 236761, 16019, 910, 80282, 43133, 678, 20517, 8319, 44066, 1041, 1944, 236772, 4043, 1610, 236772, 624, 236772, 25834, 14845, 236764, 1298, 11383, 2619, 26448, 528, 3072, 531, 7628, 4146, 236761, 236743, 236800, 236761, 1637, 910, 20622, 580, 13690, 60548, 568, 236744, 236761, 236759, 1126, 41372, 3799, 236858, 236751, 2258, 6192, 236768, 100146, 607, 1041, 3213, 580, 1610, 236858, 236751, 136090, 7912, 24214, 1913, 14871, 36421, 236761, 6890, 506, 6330, 4387, 1262, 237028, 1904, 861, 5904, 9139, 4354, 236761, 23718, 506, 9960, 1091, 8166, 236764, 41671, 96460, 532, 171777, 236761, 106, 107, 105, 4368, 107, 10354, 65129, 13768, 236787, 808, 9175, 16146, 236799, 3705, 236829, 7728, 236761, 5180, 4471, 49371, 21142, 138, 107, 16907, 22515, 580, 52236, 4387, 4852, 532, 4970, 10154, 12016, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 133261, 236786, 57949, 27618, 7728, 236761, 41372, 3799, 236772, 236794, 543, 1725, 122354, 1018, 138, 107, 1018, 157730, 53121, 138, 107, 236772, 10508, 12668, 11825, 5213, 57819, 665, 528, 1610, 1018, 568, 61436, 945, 236858, 236751, 32585, 16078, 124288, 236786, 173635, 3799, 236858, 236751, 57337, 2258, 6192, 236768, 607, 5213, 31189, 835, 204832, 1018, 568, 57949, 26448, 236858, 236751, 6381, 236772, 1340, 236772, 194764, 236786, 236794, 543, 1725, 236858, 236751, 136090, 7912, 28834, 769, 138, 107, 236772, 74967, 20622, 580, 5213, 132591, 1178, 24597, 66515, 133261, 236858, 236751, 999, 206851, 236919, 44066, 506, 136299, 236858, 205945, 5619, 236764, 1651, 41372, 3799, 236858, 236751, 2258, 6192, 104184, 630, 543, 1725, 236858, 236751, 73887, 35207, 580, 1183, 532, 21543, 236761, 138, 108, 1018, 236796, 2281, 12279, 53121, 138, 107, 236772, 808, 9175, 16146, 236799, 3705, 236829, 18838, 133261, 236786, 57949, 89560, 1343, 5213, 50771, 68730, 1018, 568, 236744, 236761, 236759, 1126, 81797, 85105, 779, 12176, 822, 28023, 56856, 5213, 115045, 25828, 1018, 568, 236744, 236761, 236759, 1126, 41372, 3799, 236858, 236751, 7913, 618, 496, 44701, 531, 630, 543, 1725, 236858, 236751, 84683, 22888, 769, 138, 107, 236772, 5180, 4615, 659, 5213, 65448, 532, 127010, 1018, 568, 2025, 22742, 607, 28172, 130194, 779, 1651, 506, 40718, 1868, 148007, 580, 5213, 2576, 174453, 800, 186193, 1018, 568, 206851, 578, 204832, 236768, 2180, 84815, 3530, 28885, 20958, 236761, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 80282, 43133, 9673, 20517, 32115, 7728, 236761, 16647, 236772, 3883, 4585, 236772, 624, 236772, 54664, 70097, 1018, 138, 107, 1018, 157730, 53121, 138, 107, 236772, 10508, 1161, 5213, 13066, 1610, 618, 496, 11172, 573, 73887, 11381, 125546, 74681, 939, 49371, 22986, 236761, 138, 107, 236772, 74967, 5671, 529, 72269, 4266, 1610, 15154, 236787, 40718, 236858, 236751, 1237, 8319, 52416, 6674, 15430, 236793, 822, 14845, 13491, 32163, 236764, 31877, 16856, 236761, 138, 108, 1018, 236796, 2281, 12279, 53121, 138, 107, 236772, 808, 9175, 16146, 236799, 3705, 236829, 47641, 5213, 22504, 4009, 225332, 1018, 568, 236744, 236761, 236759, 1126, 999, 12345, 5026, 2130, 999, 26247, 822, 56884, 69437, 79720, 36453, 532, 145867, 568, 2118, 20517, 769, 5180, 14845, 4547, 56856, 5213, 15104, 1024, 145867, 125546, 607, 31044, 2299, 18701, 532, 61216, 9697, 236761, 138, 107, 236772, 669, 678, 20517, 8319, 21132, 580, 5213, 157063, 236764, 3577, 16823, 1018, 529, 80282, 43133, 236858, 236751, 60548, 236764, 12176, 822, 14845, 1149, 25139, 5213, 124977, 653, 16813, 4403, 1018, 568, 236744, 236761, 236759, 1126, 35007, 80282, 43133, 236858, 236751, 9033, 108044, 531, 3530, 73887, 18560, 769, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 105701, 3171, 95228, 568, 173635, 3799, 236768, 7728, 236761, 4333, 207221, 11109, 103154, 1018, 138, 107, 1018, 157730, 53121, 138, 107, 236772, 10508, 8357, 5213, 661, 236858, 236751, 6541, 573, 13690, 160992, 66515, 808, 9175, 16146, 236799, 3705, 236829, 15517, 41372, 3799, 236858, 236751, 2258, 6192, 618, 999, 1653, 4582, 7426, 26448, 2130, 120022, 607, 822, 3213, 580, 1610, 236858, 236751, 999, 720, 207221, 24214, 236919, 528, 36421, 236761, 138, 107, 236772, 6890, 529, 5213, 2661, 6139, 5192, 1018, 531, 5528, 7628, 1610, 236787, 999, 111610, 6775, 49603, 1343, 38161, 236919, 44066, 822, 20622, 580, 1610, 618, 496, 16878, 573, 84683, 653, 23556, 22824, 236761, 138, 108, 1018, 236796, 2281, 12279, 53121, 138, 107, 236772, 669, 40718, 1868, 58811, 5213, 81958, 13690, 13630, 1018, 27415, 12345, 5026, 1015, 3548, 672, 78741, 42311, 779, 1651, 822, 36421, 4547, 13491, 5213, 142344, 236764, 52248, 15154, 1018, 568, 236744, 236761, 236759, 1126, 18024, 41372, 3799, 236858, 236751, 981, 531, 3141, 9871, 529, 32717, 653, 228788, 769, 138, 107, 236772, 36353, 236787, 669, 40718, 13650, 563, 496, 5213, 236800, 236771, 236772, 8556, 7426, 236772, 20156, 2707, 125546, 12176, 14871, 36421, 2174, 573, 5213, 140671, 236764, 22323, 236772, 27612, 3671, 1018, 1024, 990, 236761, 138, 108, 7243, 108, 10354, 5213, 3503, 12774, 50914, 1018, 138, 107, 236772, 5213, 50384, 19247, 159517, 53121, 10508, 12668, 23944, 657, 3043, 7628, 1610, 15283, 1343, 28885, 44362, 236764, 79720, 204832, 236764, 21543, 236764, 532, 9998, 15430, 236761, 138, 107, 236772, 5213, 236796, 2281, 8628, 18446, 2499, 53121, 138, 107, 138, 236772, 808, 9175, 16146, 236799, 3705, 236829, 27592, 5411, 5213, 22504, 4009, 236772, 27612, 145867, 532, 36453, 1018, 568, 236744, 236761, 236759, 1126, 678, 20517, 8991, 236764, 183240, 9851, 769, 138, 107, 138, 236772, 5180, 4615, 37837, 5213, 65448, 236764, 4403, 236772, 9705, 22824, 1018, 568, 236744, 236761, 236759, 1126, 28023, 607, 11858, 130194, 236764, 136090, 7912, 36421, 769, 138, 107, 236772, 5213, 104884, 205224, 53121, 147320, 40718, 236772, 3061, 8991, 1131, 822, 28023, 568, 236744, 236761, 236759, 1126, 62257, 496, 28057, 236772, 52728, 27355, 528, 3072, 531, 133261, 236768, 1451, 11825, 204832, 607, 19276, 28885, 3671, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 672, 3671, 3342, 236764, 653, 11327, 1217, 531, 7535, 808, 9175, 16146, 236799, 3705, 236858, 236829, 11298, 1131, 822, 5428, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 4875, 531, 2514, 872, 607, 1217, 15036, 20971, 15474, 607, 1610, 4083, 3489, 236764, 532, 564, 3588, 3418, 496, 40718, 2430, 2760, 808, 9175, 16146, 236799, 3705, 22429, 9963, 3004, 12054, 50612, 236764, 840, 564, 236789, 236757, 711, 2889, 768, 625, 100146, 607, 1041, 10521, 528, 7628, 5619, 1929, 532, 73887, 3671, 236761, 28344, 611, 33205, 910, 236743, 236800, 236771, 1346, 4803, 12714, 531, 1601, 786, 10741, 768, 910, 981, 1093, 114542, 607, 1041, 4313, 531, 1610, 4993, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16043, 236779, 7633, 1083, 78493, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 7777, 1083, 623, 162117, 133261, 236789, 236751, 73333, 9939, 1343, 506, 14970, 529, 28057, 26448, 753, 1217, 31341, 528, 1610, 44066, 204832, 528, 28834, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236771, 236753, 236785, 77118, 236771, 236760, 997, 11008, 22256, 1929, 997, 9175, 39454, 827, 623, 137112, 4073, 1083, 11058, 11008, 22256, 1929, 827, 623, 9175, 39454, 827, 623, 10541, 6139, 35434, 14255, 623, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 661, 236772, 18308, 236772, 236763, 3705, 236772, 236771, 236771, 236770, 23179, 3714, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236770, 827, 623, 7777, 1083, 623, 104071, 1679, 41372, 3799, 236789, 236751, 2258, 6192, 236787, 2088, 21543, 6775, 49603, 1343, 38161, 236761, 19653, 5026, 1015, 3548, 672, 78741, 7426, 26448, 621, 689, 236828, 236800, 236753, 236785, 689, 1794, 236825, 236785, 689, 236828, 236800, 236753, 236785, 689, 1794, 236812, 997, 3484, 109090, 997, 9175, 34703, 17617, 827, 623, 137112, 4073, 1083, 11058, 3484, 109090, 827, 623, 9175, 34703, 17617, 827, 623, 11008, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 661, 236772, 18308, 236772, 236763, 3705, 236772, 236771, 236771, 236778, 23179, 3714, 547, 1083, 623, 177928, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236778, 827, 623, 7777, 1083, 623, 165540, 5790, 236789, 236773, 176401, 216951, 236787, 15642, 496, 678, 20517, 13696, 684, 80282, 43133, 236789, 236751, 756, 78187, 29519, 236789, 621, 689, 236828, 236800, 236753, 236785, 689, 24224, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 236812, 236832, 19148, 822, 56884, 528, 506, 8968, 236888, 997, 9175, 227187, 997, 10541, 13184, 66733, 827, 623, 137112, 4073, 1083, 11058, 9175, 227187, 827, 623, 10541, 13184, 66733, 827, 623, 32899, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 661, 236772, 18308, 236772, 236763, 3705, 236772, 236771, 236771, 236800, 25938, 1604, 623, 21052, 1083, 3714, 5594, 236779, 5576, 1083, 1847, 236764, 623, 6725, 236779, 7633, 1083, 236743, 236800, 236771, 236764, 623, 4874, 236779, 14423, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 127096, 106, 107, 105, 4368, 107, 818, 52236, 12714, 699, 808, 9175, 16146, 236799, 3705, 236829, 12117, 8913, 607, 822, 10521, 528, 7628, 5619, 1929, 532, 73887, 3671, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 5213, 61436, 945, 833, 28057, 56852, 66515, 9963, 1171, 1868, 25010, 32407, 15333, 133261, 236789, 236751, 73333, 9939, 531, 28057, 26448, 236764, 32187, 1217, 31341, 532, 204832, 33647, 528, 1610, 532, 28834, 237028, 236746, 1982, 28981, 607, 822, 3213, 580, 7628, 5619, 1929, 532, 73887, 16823, 236761, 108, 236778, 236761, 5213, 173635, 3799, 236789, 236751, 105701, 8040, 42286, 66515, 669, 1855, 1868, 46235, 4534, 41372, 3799, 236789, 236751, 1161, 529, 2258, 531, 104184, 21543, 236764, 66051, 1610, 6073, 607, 13690, 25828, 236764, 837, 1451, 14125, 822, 12524, 4313, 531, 7628, 5619, 1929, 236789, 236751, 136090, 7912, 24214, 236761, 108, 236800, 236761, 5213, 236855, 624, 43133, 833, 9673, 20517, 32115, 66515, 669, 4168, 1868, 52416, 73887, 15154, 607, 78963, 1403, 80282, 43133, 236789, 236751, 7628, 981, 236764, 66486, 4532, 1610, 607, 21931, 26448, 237028, 236746, 9578, 11825, 1534, 1610, 4083, 532, 28885, 3671, 236761, 108, 26479, 1239, 8698, 236764, 808, 9175, 16146, 236799, 3705, 236829, 7412, 531, 114542, 607, 822, 939, 49371, 4313, 531, 1610, 4993, 236761, 1599, 1149, 1586, 910, 3004, 1800, 32977, 532, 7798, 531, 822, 981, 236761, 21284, 611, 1133, 531, 11327, 3530, 12714, 3342, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 506, 25000, 236761, 564, 236789, 236753, 1133, 531, 11327, 506, 808, 61436, 945, 833, 28057, 56852, 236829, 1868, 528, 8052, 237028, 46052, 611, 18840, 1217, 901, 3371, 133261, 236789, 236751, 9939, 531, 28057, 73887, 7359, 1133, 6381, 236772, 1340, 236772, 194764, 653, 61118, 236881, 564, 236789, 236757, 23210, 768, 910, 4313, 44066, 1041, 1852, 939, 49371, 1996, 529, 35007, 1610, 236789, 236751, 214276, 531, 28885, 204832, 236761, 18741, 236764, 2426, 768, 1027, 4803, 12714, 568, 49426, 506, 236743, 236800, 236771, 236768, 6778, 580, 672, 7824, 236764, 8229, 607, 1032, 11421, 653, 65966, 236761, 106, 107, 105, 4368, 107, 818, 808, 61436, 945, 833, 28057, 56852, 236829, 1868, 25010, 32407, 133261, 236789, 236751, 73333, 9939, 531, 506, 28057, 32955, 236789, 236751, 20622, 580, 204832, 532, 623, 206851, 2098, 837, 100146, 12030, 607, 28057, 73887, 7359, 1133, 5213, 6678, 236772, 1340, 236772, 194764, 1018, 568, 602, 41028, 236764, 13258, 5619, 236768, 532, 5213, 36772, 567, 1018, 568, 9181, 236772, 11402, 236764, 54967, 524, 3904, 769, 5978, 506, 3847, 6492, 563, 8652, 236764, 506, 50232, 529, 623, 206851, 528, 1610, 170730, 204832, 528, 28834, 236775, 12205, 614, 46836, 1534, 133261, 236789, 236751, 5663, 236764, 82775, 1353, 11710, 1657, 532, 28057, 65966, 236789, 37720, 529, 26162, 85105, 568, 236744, 236761, 236759, 1126, 25601, 521, 552, 236789, 236751, 623, 1020, 152681, 57243, 236775, 653, 119554, 6315, 236789, 236751, 2196, 28834, 769, 1174, 89560, 822, 939, 49371, 3213, 580, 1610, 236789, 236751, 214276, 532, 28885, 204832, 236761, 108, 10354, 81909, 580, 506, 21657, 528, 34980, 49040, 236787, 107, 4088, 506, 236743, 236800, 236771, 52236, 12714, 568, 8960, 506, 1171, 236743, 236800, 3505, 528, 506, 5498, 779, 7293, 528, 506, 11325, 17503, 25010, 6778, 580, 672, 3530, 133261, 236786, 57949, 5603, 236761, 3153, 236787, 107, 236772, 669, 5213, 236855, 624, 43133, 678, 20517, 8319, 1018, 568, 3274, 997, 236800, 236768, 52416, 73887, 15154, 607, 7628, 1610, 236764, 32427, 496, 25898, 2142, 528, 66051, 7426, 532, 28885, 24597, 236761, 107, 236772, 669, 5213, 173635, 3799, 2258, 3671, 1018, 568, 3274, 997, 236778, 236768, 148007, 1131, 13690, 60548, 236764, 496, 7824, 18191, 531, 7628, 5619, 1929, 236858, 236751, 136090, 7912, 24214, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 4767, 12714, 699, 506, 9866, 236743, 236778, 236832, 531, 2426, 573, 19276, 22824, 529, 672, 7824, 236881, 107, 236778, 236761, 121353, 506, 2587, 1816, 529, 506, 808, 61436, 945, 833, 28057, 56852, 236829, 1868, 568, 584, 15283, 20625, 107, 236800, 236761, 44906, 4585, 16146, 236799, 3705, 236789, 4313, 531, 822, 1852, 939, 49371, 4615, 1699, 3530, 8698, 236881, 236743, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 13733, 236743, 236800, 237028, 1184, 236858, 236751, 10769, 12668, 236761, 10352, 506, 52236, 12714, 532, 1041, 1852, 4615, 236764, 18840, 236787, 236743, 236770, 236761, 2088, 4585, 16146, 236799, 3705, 236858, 133261, 236786, 57949, 5603, 48068, 531, 1041, 939, 49371, 28023, 568, 236744, 236761, 236759, 1126, 776, 901, 1161, 3361, 186193, 1534, 133261, 236858, 236751, 5663, 16078, 124288, 532, 28885, 204832, 618, 1041, 20958, 39364, 41372, 3799, 236858, 236751, 2258, 6192, 607, 630, 543, 1725, 236858, 236751, 26448, 69458, 236743, 236778, 236761, 16019, 910, 80282, 43133, 678, 20517, 8319, 44066, 1041, 1944, 236772, 4043, 1610, 236772, 624, 236772, 25834, 14845, 236764, 1298, 11383, 2619, 26448, 528, 3072, 531, 7628, 4146, 236761, 236743, 236800, 236761, 1637, 910, 20622, 580, 13690, 60548, 568, 236744, 236761, 236759, 1126, 41372, 3799, 236858, 236751, 2258, 6192, 236768, 100146, 607, 1041, 3213, 580, 1610, 236858, 236751, 136090, 7912, 24214, 1913, 14871, 36421, 236761, 6890, 506, 6330, 4387, 1262, 237028, 1904, 861, 5904, 9139, 4354, 236761, 23718, 506, 9960, 1091, 8166, 236764, 41671, 96460, 532, 171777, 236761, 106, 107, 105, 4368, 107, 10354, 65129, 13768, 236787, 808, 9175, 16146, 236799, 3705, 236829, 7728, 236761, 5180, 4471, 49371, 21142, 138, 107, 16907, 22515, 580, 52236, 4387, 4852, 532, 4970, 10154, 12016, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 133261, 236786, 57949, 27618, 7728, 236761, 41372, 3799, 236772, 236794, 543, 1725, 122354, 1018, 138, 107, 1018, 157730, 53121, 138, 107, 236772, 10508, 12668, 11825, 5213, 57819, 665, 528, 1610, 1018, 568, 61436, 945, 236858, 236751, 32585, 16078, 124288, 236786, 173635, 3799, 236858, 236751, 57337, 2258, 6192, 236768, 607, 5213, 31189, 835, 204832, 1018, 568, 57949, 26448, 236858, 236751, 6381, 236772, 1340, 236772, 194764, 236786, 236794, 543, 1725, 236858, 236751, 136090, 7912, 28834, 769, 138, 107, 236772, 74967, 20622, 580, 5213, 132591, 1178, 24597, 66515, 133261, 236858, 236751, 999, 206851, 236919, 44066, 506, 136299, 236858, 205945, 5619, 236764, 1651, 41372, 3799, 236858, 236751, 2258, 6192, 104184, 630, 543, 1725, 236858, 236751, 73887, 35207, 580, 1183, 532, 21543, 236761, 138, 108, 1018, 236796, 2281, 12279, 53121, 138, 107, 236772, 808, 9175, 16146, 236799, 3705, 236829, 18838, 133261, 236786, 57949, 89560, 1343, 5213, 50771, 68730, 1018, 568, 236744, 236761, 236759, 1126, 81797, 85105, 779, 12176, 822, 28023, 56856, 5213, 115045, 25828, 1018, 568, 236744, 236761, 236759, 1126, 41372, 3799, 236858, 236751, 7913, 618, 496, 44701, 531, 630, 543, 1725, 236858, 236751, 84683, 22888, 769, 138, 107, 236772, 5180, 4615, 659, 5213, 65448, 532, 127010, 1018, 568, 2025, 22742, 607, 28172, 130194, 779, 1651, 506, 40718, 1868, 148007, 580, 5213, 2576, 174453, 800, 186193, 1018, 568, 206851, 578, 204832, 236768, 2180, 84815, 3530, 28885, 20958, 236761, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 80282, 43133, 9673, 20517, 32115, 7728, 236761, 16647, 236772, 3883, 4585, 236772, 624, 236772, 54664, 70097, 1018, 138, 107, 1018, 157730, 53121, 138, 107, 236772, 10508, 1161, 5213, 13066, 1610, 618, 496, 11172, 573, 73887, 11381, 125546, 74681, 939, 49371, 22986, 236761, 138, 107, 236772, 74967, 5671, 529, 72269, 4266, 1610, 15154, 236787, 40718, 236858, 236751, 1237, 8319, 52416, 6674, 15430, 236793, 822, 14845, 13491, 32163, 236764, 31877, 16856, 236761, 138, 108, 1018, 236796, 2281, 12279, 53121, 138, 107, 236772, 808, 9175, 16146, 236799, 3705, 236829, 47641, 5213, 22504, 4009, 225332, 1018, 568, 236744, 236761, 236759, 1126, 999, 12345, 5026, 2130, 999, 26247, 822, 56884, 69437, 79720, 36453, 532, 145867, 568, 2118, 20517, 769, 5180, 14845, 4547, 56856, 5213, 15104, 1024, 145867, 125546, 607, 31044, 2299, 18701, 532, 61216, 9697, 236761, 138, 107, 236772, 669, 678, 20517, 8319, 21132, 580, 5213, 157063, 236764, 3577, 16823, 1018, 529, 80282, 43133, 236858, 236751, 60548, 236764, 12176, 822, 14845, 1149, 25139, 5213, 124977, 653, 16813, 4403, 1018, 568, 236744, 236761, 236759, 1126, 35007, 80282, 43133, 236858, 236751, 9033, 108044, 531, 3530, 73887, 18560, 769, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 105701, 3171, 95228, 568, 173635, 3799, 236768, 7728, 236761, 4333, 207221, 11109, 103154, 1018, 138, 107, 1018, 157730, 53121, 138, 107, 236772, 10508, 8357, 5213, 661, 236858, 236751, 6541, 573, 13690, 160992, 66515, 808, 9175, 16146, 236799, 3705, 236829, 15517, 41372, 3799, 236858, 236751, 2258, 6192, 618, 999, 1653, 4582, 7426, 26448, 2130, 120022, 607, 822, 3213, 580, 1610, 236858, 236751, 999, 720, 207221, 24214, 236919, 528, 36421, 236761, 138, 107, 236772, 6890, 529, 5213, 2661, 6139, 5192, 1018, 531, 5528, 7628, 1610, 236787, 999, 111610, 6775, 49603, 1343, 38161, 236919, 44066, 822, 20622, 580, 1610, 618, 496, 16878, 573, 84683, 653, 23556, 22824, 236761, 138, 108, 1018, 236796, 2281, 12279, 53121, 138, 107, 236772, 669, 40718, 1868, 58811, 5213, 81958, 13690, 13630, 1018, 27415, 12345, 5026, 1015, 3548, 672, 78741, 42311, 779, 1651, 822, 36421, 4547, 13491, 5213, 142344, 236764, 52248, 15154, 1018, 568, 236744, 236761, 236759, 1126, 18024, 41372, 3799, 236858, 236751, 981, 531, 3141, 9871, 529, 32717, 653, 228788, 769, 138, 107, 236772, 36353, 236787, 669, 40718, 13650, 563, 496, 5213, 236800, 236771, 236772, 8556, 7426, 236772, 20156, 2707, 125546, 12176, 14871, 36421, 2174, 573, 5213, 140671, 236764, 22323, 236772, 27612, 3671, 1018, 1024, 990, 236761, 138, 108, 7243, 108, 10354, 5213, 3503, 12774, 50914, 1018, 138, 107, 236772, 5213, 50384, 19247, 159517, 53121, 10508, 12668, 23944, 657, 3043, 7628, 1610, 15283, 1343, 28885, 44362, 236764, 79720, 204832, 236764, 21543, 236764, 532, 9998, 15430, 236761, 138, 107, 236772, 5213, 236796, 2281, 8628, 18446, 2499, 53121, 138, 107, 138, 236772, 808, 9175, 16146, 236799, 3705, 236829, 27592, 5411, 5213, 22504, 4009, 236772, 27612, 145867, 532, 36453, 1018, 568, 236744, 236761, 236759, 1126, 678, 20517, 8991, 236764, 183240, 9851, 769, 138, 107, 138, 236772, 5180, 4615, 37837, 5213, 65448, 236764, 4403, 236772, 9705, 22824, 1018, 568, 236744, 236761, 236759, 1126, 28023, 607, 11858, 130194, 236764, 136090, 7912, 36421, 769, 138, 107, 236772, 5213, 104884, 205224, 53121, 147320, 40718, 236772, 3061, 8991, 1131, 822, 28023, 568, 236744, 236761, 236759, 1126, 62257, 496, 28057, 236772, 52728, 27355, 528, 3072, 531, 133261, 236768, 1451, 11825, 204832, 607, 19276, 28885, 3671, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 672, 3671, 3342, 236764, 653, 11327, 1217, 531, 7535, 808, 9175, 16146, 236799, 3705, 236858, 236829, 11298, 1131, 822, 5428, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 496, 3399, 2460, 15523, 573, 1041, 1610, 11452, 4317, 236761, 5315, 236764, 564, 1461, 531, 8430, 2307, 20880, 1133, 5618, 529, 2263, 11421, 236764, 9226, 4820, 699, 51135, 236764, 532, 2460, 14069, 236761, 4298, 236764, 564, 1202, 531, 2426, 506, 27078, 2101, 1724, 9226, 4820, 10916, 236761, 3199, 611, 1657, 1041, 12262, 15523, 1816, 607, 3034, 236779, 47792, 1171, 236764, 1299, 1161, 1724, 2536, 531, 3213, 506, 27078, 3671, 580, 506, 8789, 7435, 1037, 23060, 10217, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 18840, 822, 15523, 1343, 496, 1156, 236772, 9340, 1657, 236761, 5315, 236764, 5091, 2847, 506, 12262, 15523, 1816, 834, 564, 740, 8430, 506, 2307, 20880, 1699, 7489, 13186, 13909, 236761, 9920, 692, 735, 8385, 506, 8789, 7435, 1037, 9226, 4820, 236764, 692, 236789, 859, 1299, 2121, 20054, 27078, 3671, 580, 1724, 3530, 22292, 529, 506, 1816, 236761, 108, 30092, 611, 5091, 4024, 822, 12262, 15523, 1816, 573, 3671, 236881, 106, 107, 105, 2364, 107, 818, 104376, 4585, 18605, 236789, 236751, 56557, 19520, 795, 32545, 4146, 684, 2263, 11421, 2440, 24913, 86059, 532, 30855, 125323, 236764, 18482, 6672, 8789, 7435, 1037, 8403, 1133, 623, 38109, 1741, 236775, 58775, 532, 623, 236755, 77332, 236775, 12847, 59491, 236761, 669, 2460, 795, 44026, 607, 51135, 236789, 236751, 44506, 6156, 42927, 580, 6243, 236743, 236800, 7221, 236764, 9722, 28023, 580, 30737, 11586, 236970, 1553, 236772, 74379, 32433, 58914, 1610, 532, 496, 2803, 623, 236773, 14451, 3537, 236775, 56312, 50617, 32427, 51135, 236789, 236751, 6819, 39826, 236761, 221105, 795, 1894, 506, 104376, 11493, 6022, 236789, 236751, 10974, 1610, 33013, 1948, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 78493, 1005, 1083, 623, 96630, 86059, 827, 623, 2084, 1083, 623, 107354, 827, 623, 3041, 1083, 236743, 236770, 236771, 236771, 236764, 623, 643, 1083, 236743, 236770, 236770, 236825, 1263, 3714, 1005, 1083, 623, 76678, 125323, 827, 623, 2084, 1083, 623, 107354, 827, 623, 3041, 1083, 236743, 236770, 236778, 236771, 236764, 623, 643, 1083, 236743, 236770, 236778, 236819, 1263, 3714, 1005, 1083, 623, 38109, 1741, 827, 623, 2084, 1083, 623, 236780, 111956, 236779, 57254, 827, 623, 3041, 1083, 236743, 236770, 236810, 236771, 236764, 623, 643, 1083, 236743, 236770, 236810, 236832, 1263, 3714, 1005, 1083, 623, 236755, 77332, 827, 623, 2084, 1083, 623, 236780, 111956, 236779, 57254, 827, 623, 3041, 1083, 236743, 236770, 236828, 236771, 236764, 623, 643, 1083, 236743, 236770, 236828, 236825, 1263, 3714, 1005, 1083, 623, 29621, 236785, 236756, 236771, 236771, 236744, 236812, 1553, 236772, 74379, 236752, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 2084, 1083, 623, 19642, 114848, 8481, 827, 623, 3041, 1083, 236743, 236778, 236800, 236810, 236764, 623, 643, 1083, 236743, 236778, 236812, 236825, 1263, 3714, 1005, 1083, 623, 236773, 14451, 3537, 827, 623, 2084, 1083, 623, 236780, 111956, 236779, 57254, 827, 623, 3041, 1083, 236743, 236778, 236828, 236810, 236764, 623, 643, 1083, 236743, 236778, 236819, 236800, 1263, 3714, 1005, 1083, 623, 36956, 236743, 236800, 7221, 827, 623, 2084, 1083, 623, 21696, 827, 623, 3041, 1083, 236743, 236800, 236770, 236771, 236764, 623, 643, 1083, 236743, 236800, 236778, 236778, 236764, 623, 69040, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236800, 23179, 3714, 1005, 1083, 623, 22021, 811, 11493, 6022, 827, 623, 2084, 1083, 623, 97346, 827, 623, 3041, 1083, 236743, 236800, 236832, 236810, 236764, 623, 643, 1083, 236743, 236800, 236819, 236812, 104960, 623, 4368, 236779, 3456, 1083, 623, 12697, 236779, 3842, 7435, 1037, 236779, 57534, 236779, 1250, 236779, 236766, 236770, 827, 623, 1005, 236779, 11240, 1083, 623, 19547, 236778, 236810, 236825, 236787, 236832, 236746, 236828, 236763, 236819, 236755, 236771, 236753, 236810, 236744, 236770, 236760, 236778, 236746, 236800, 236763, 236812, 236755, 236832, 236753, 236825, 236744, 236810, 236760, 236771, 236746, 236819, 236753, 236770, 236744, 236778, 236755, 236800, 236763, 236828, 236760, 236832, 236746, 236819, 236753, 236771, 236744, 236825, 236760, 236810, 236755, 236812, 236753, 236800, 236746, 236778, 236763, 236770, 236755, 236771, 236753, 236819, 236744, 236828, 236760, 236832, 236746, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30558, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236771, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236770, 236764, 623, 104835, 1083, 236743, 236771, 236761, 236832, 236812, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 15523, 236787, 108, 1018, 236770, 236761, 9533, 161452, 229414, 53121, 107, 236772, 5213, 140226, 53121, 24913, 86059, 236764, 30855, 125323, 107, 236772, 5213, 111534, 38456, 53121, 236743, 107, 138, 236772, 808, 61436, 1741, 236829, 58775, 568, 64915, 8789, 7435, 1037, 5808, 236768, 107, 138, 236772, 808, 236780, 77332, 236829, 12847, 59491, 107, 138, 236772, 808, 236773, 14451, 3537, 236829, 56312, 568, 35896, 13415, 236768, 107, 236772, 5213, 214593, 6308, 53121, 11586, 236970, 1553, 236772, 74379, 32433, 568, 724, 21134, 3399, 236768, 107, 236772, 5213, 3682, 53121, 6243, 236743, 236800, 7221, 568, 6075, 2327, 236789, 236751, 44506, 6156, 236768, 107, 236772, 5213, 50058, 53121, 104376, 11493, 6022, 108, 1018, 236778, 236761, 162249, 13768, 529, 32462, 38456, 53121, 107, 236772, 5213, 48084, 53121, 236743, 236828, 236778, 236908, 236743, 107, 236772, 5213, 63702, 53121, 236743, 236828, 236908, 107, 236772, 5213, 20809, 53121, 236743, 236770, 236771, 236908, 107, 236772, 5213, 75174, 27242, 53121, 236743, 236771, 236761, 236832, 236812, 568, 22468, 4414, 27078, 236768, 108, 818, 3671, 3831, 3188, 4414, 27078, 8797, 506, 8789, 7435, 1037, 9226, 10217, 528, 822, 15523, 236764, 6412, 2101, 6672, 1610, 6667, 14083, 38109, 1741, 236829, 779, 4252, 236786, 92972, 14083, 236755, 77332, 236829, 779, 532, 27249, 14083, 236751, 14451, 3537, 236829, 769, 669, 30737, 11586, 236970, 1553, 236772, 74379, 32433, 58914, 1610, 28023, 992, 3196, 1388, 236772, 219256, 2351, 506, 15523, 236789, 236751, 4403, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 1027, 170935, 531, 37837, 1239, 30706, 4461, 9226, 4820, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 496, 3399, 2460, 15523, 573, 1041, 1610, 11452, 4317, 236761, 5315, 236764, 564, 1461, 531, 8430, 2307, 20880, 1133, 5618, 529, 2263, 11421, 236764, 9226, 4820, 699, 51135, 236764, 532, 2460, 14069, 236761, 4298, 236764, 564, 1202, 531, 2426, 506, 27078, 2101, 1724, 9226, 4820, 10916, 236761, 3199, 611, 1657, 1041, 12262, 15523, 1816, 607, 3034, 236779, 47792, 1171, 236764, 1299, 1161, 1724, 2536, 531, 3213, 506, 27078, 3671, 580, 506, 8789, 7435, 1037, 23060, 10217, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 18840, 822, 15523, 1343, 496, 1156, 236772, 9340, 1657, 236761, 5315, 236764, 5091, 2847, 506, 12262, 15523, 1816, 834, 564, 740, 8430, 506, 2307, 20880, 1699, 7489, 13186, 13909, 236761, 9920, 692, 735, 8385, 506, 8789, 7435, 1037, 9226, 4820, 236764, 692, 236789, 859, 1299, 2121, 20054, 27078, 3671, 580, 1724, 3530, 22292, 529, 506, 1816, 236761, 108, 30092, 611, 5091, 4024, 822, 12262, 15523, 1816, 573, 3671, 236881, 106, 107, 105, 2364, 107, 818, 104376, 4585, 18605, 236789, 236751, 56557, 19520, 795, 32545, 4146, 684, 2263, 11421, 2440, 24913, 86059, 532, 30855, 125323, 236764, 18482, 6672, 8789, 7435, 1037, 8403, 1133, 623, 38109, 1741, 236775, 58775, 532, 623, 236755, 77332, 236775, 12847, 59491, 236761, 669, 2460, 795, 44026, 607, 51135, 236789, 236751, 44506, 6156, 42927, 580, 6243, 236743, 236800, 7221, 236764, 9722, 28023, 580, 30737, 11586, 236970, 1553, 236772, 74379, 32433, 58914, 1610, 532, 496, 2803, 623, 236773, 14451, 3537, 236775, 56312, 50617, 32427, 51135, 236789, 236751, 6819, 39826, 236761, 221105, 795, 1894, 506, 104376, 11493, 6022, 236789, 236751, 10974, 1610, 33013, 1948, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 78493, 1005, 1083, 623, 96630, 86059, 827, 623, 2084, 1083, 623, 107354, 827, 623, 3041, 1083, 236743, 236770, 236771, 236771, 236764, 623, 643, 1083, 236743, 236770, 236770, 236825, 1263, 3714, 1005, 1083, 623, 76678, 125323, 827, 623, 2084, 1083, 623, 107354, 827, 623, 3041, 1083, 236743, 236770, 236778, 236771, 236764, 623, 643, 1083, 236743, 236770, 236778, 236819, 1263, 3714, 1005, 1083, 623, 38109, 1741, 827, 623, 2084, 1083, 623, 236780, 111956, 236779, 57254, 827, 623, 3041, 1083, 236743, 236770, 236810, 236771, 236764, 623, 643, 1083, 236743, 236770, 236810, 236832, 1263, 3714, 1005, 1083, 623, 236755, 77332, 827, 623, 2084, 1083, 623, 236780, 111956, 236779, 57254, 827, 623, 3041, 1083, 236743, 236770, 236828, 236771, 236764, 623, 643, 1083, 236743, 236770, 236828, 236825, 1263, 3714, 1005, 1083, 623, 29621, 236785, 236756, 236771, 236771, 236744, 236812, 1553, 236772, 74379, 236752, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 2084, 1083, 623, 19642, 114848, 8481, 827, 623, 3041, 1083, 236743, 236778, 236800, 236810, 236764, 623, 643, 1083, 236743, 236778, 236812, 236825, 1263, 3714, 1005, 1083, 623, 236773, 14451, 3537, 827, 623, 2084, 1083, 623, 236780, 111956, 236779, 57254, 827, 623, 3041, 1083, 236743, 236778, 236828, 236810, 236764, 623, 643, 1083, 236743, 236778, 236819, 236800, 1263, 3714, 1005, 1083, 623, 36956, 236743, 236800, 7221, 827, 623, 2084, 1083, 623, 21696, 827, 623, 3041, 1083, 236743, 236800, 236770, 236771, 236764, 623, 643, 1083, 236743, 236800, 236778, 236778, 236764, 623, 69040, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236800, 23179, 3714, 1005, 1083, 623, 22021, 811, 11493, 6022, 827, 623, 2084, 1083, 623, 97346, 827, 623, 3041, 1083, 236743, 236800, 236832, 236810, 236764, 623, 643, 1083, 236743, 236800, 236819, 236812, 104960, 623, 4368, 236779, 3456, 1083, 623, 12697, 236779, 3842, 7435, 1037, 236779, 57534, 236779, 1250, 236779, 236766, 236770, 827, 623, 1005, 236779, 11240, 1083, 623, 19547, 236778, 236810, 236825, 236787, 236832, 236746, 236828, 236763, 236819, 236755, 236771, 236753, 236810, 236744, 236770, 236760, 236778, 236746, 236800, 236763, 236812, 236755, 236832, 236753, 236825, 236744, 236810, 236760, 236771, 236746, 236819, 236753, 236770, 236744, 236778, 236755, 236800, 236763, 236828, 236760, 236832, 236746, 236819, 236753, 236771, 236744, 236825, 236760, 236810, 236755, 236812, 236753, 236800, 236746, 236778, 236763, 236770, 236755, 236771, 236753, 236819, 236744, 236828, 236760, 236832, 236746, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30558, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236771, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236770, 236764, 623, 104835, 1083, 236743, 236771, 236761, 236832, 236812, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 15523, 236787, 108, 1018, 236770, 236761, 9533, 161452, 229414, 53121, 107, 236772, 5213, 140226, 53121, 24913, 86059, 236764, 30855, 125323, 107, 236772, 5213, 111534, 38456, 53121, 236743, 107, 138, 236772, 808, 61436, 1741, 236829, 58775, 568, 64915, 8789, 7435, 1037, 5808, 236768, 107, 138, 236772, 808, 236780, 77332, 236829, 12847, 59491, 107, 138, 236772, 808, 236773, 14451, 3537, 236829, 56312, 568, 35896, 13415, 236768, 107, 236772, 5213, 214593, 6308, 53121, 11586, 236970, 1553, 236772, 74379, 32433, 568, 724, 21134, 3399, 236768, 107, 236772, 5213, 3682, 53121, 6243, 236743, 236800, 7221, 568, 6075, 2327, 236789, 236751, 44506, 6156, 236768, 107, 236772, 5213, 50058, 53121, 104376, 11493, 6022, 108, 1018, 236778, 236761, 162249, 13768, 529, 32462, 38456, 53121, 107, 236772, 5213, 48084, 53121, 236743, 236828, 236778, 236908, 236743, 107, 236772, 5213, 63702, 53121, 236743, 236828, 236908, 107, 236772, 5213, 20809, 53121, 236743, 236770, 236771, 236908, 107, 236772, 5213, 75174, 27242, 53121, 236743, 236771, 236761, 236832, 236812, 568, 22468, 4414, 27078, 236768, 108, 818, 3671, 3831, 3188, 4414, 27078, 8797, 506, 8789, 7435, 1037, 9226, 10217, 528, 822, 15523, 236764, 6412, 2101, 6672, 1610, 6667, 14083, 38109, 1741, 236829, 779, 4252, 236786, 92972, 14083, 236755, 77332, 236829, 779, 532, 27249, 14083, 236751, 14451, 3537, 236829, 769, 669, 30737, 11586, 236970, 1553, 236772, 74379, 32433, 58914, 1610, 28023, 992, 3196, 1388, 236772, 219256, 2351, 506, 15523, 236789, 236751, 4403, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 1027, 170935, 531, 37837, 1239, 30706, 4461, 9226, 4820, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 614, 11690, 1610, 2460, 2148, 9735, 528, 39023, 532, 1202, 531, 2426, 506, 51599, 7606, 14415, 573, 506, 3207, 236761, 28344, 611, 2847, 4889, 580, 4022, 21280, 532, 31632, 9948, 5459, 506, 1719, 236881, 564, 1461, 531, 5330, 692, 4351, 506, 1791, 2653, 3433, 573, 1023, 3399, 30918, 2203, 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, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 3714, 11480, 1083, 236743, 236832, 236828, 236764, 623, 976, 1083, 236743, 236825, 236810, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 236779, 60423, 1083, 623, 236770, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 77269, 1083, 623, 236825, 236810, 171446, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 3714, 11480, 1083, 236743, 236828, 236778, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 236779, 60423, 1083, 623, 236778, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 44269, 827, 623, 77269, 1083, 623, 236810, 236828, 171446, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 3714, 11480, 1083, 236743, 236832, 236825, 236764, 623, 976, 1083, 236743, 236825, 236828, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 236779, 60423, 1083, 623, 236812, 236771, 70887, 623, 15879, 236779, 11243, 1083, 623, 236825, 44269, 827, 623, 77269, 1083, 623, 236832, 236778, 236908, 25938, 1604, 623, 7125, 1083, 623, 192038, 236764, 28963, 827, 623, 52511, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 51599, 7606, 14415, 573, 39023, 236764, 28963, 580, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 108, 1018, 236770, 236771, 236787, 236771, 236771, 8151, 1018, 107, 236772, 35267, 236787, 236743, 236825, 236810, 237366, 236811, 236964, 236832, 236828, 237366, 236811, 107, 236772, 212775, 236787, 236743, 236770, 236810, 236908, 6584, 107, 236772, 18324, 236787, 236743, 236828, 44269, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 108, 1018, 236778, 236787, 236771, 236771, 8711, 1018, 107, 236772, 35267, 236787, 236743, 236832, 236771, 237366, 236811, 236964, 236828, 236778, 237366, 236811, 107, 236772, 212775, 236787, 236743, 236778, 236810, 236908, 6584, 107, 236772, 18324, 236787, 236743, 236770, 236778, 44269, 107, 236772, 208719, 236787, 236743, 236810, 236828, 236908, 108, 1018, 236825, 236787, 236771, 236771, 8711, 1018, 107, 236772, 35267, 236787, 236743, 236825, 236828, 237366, 236811, 236964, 236832, 236825, 237366, 236811, 107, 236772, 212775, 236787, 236743, 236812, 236771, 236908, 6584, 107, 236772, 18324, 236787, 236743, 236825, 44269, 107, 236772, 208719, 236787, 236743, 236832, 236778, 236908, 108, 818, 1791, 4771, 573, 822, 11690, 2460, 1093, 4547, 577, 5213, 67719, 531, 3649, 12399, 125546, 1056, 31632, 18190, 4196, 3426, 236743, 236778, 236810, 236908, 532, 11139, 659, 9650, 236761, 3763, 9137, 236764, 6927, 9948, 8110, 531, 236743, 236812, 236771, 9525, 21284, 611, 1133, 49054, 573, 4767, 14069, 531, 10769, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 51599, 49054, 573, 5142, 236743, 236778, 236828, 594, 532, 5505, 236743, 236810, 594, 618, 1388, 236881, 564, 1461, 531, 10769, 837, 9735, 815, 506, 14723, 6584, 529, 6927, 1913, 58745, 3885, 573, 1023, 11690, 981, 236761, 39799, 236764, 564, 236858, 236753, 1202, 4022, 21280, 532, 31632, 9948, 573, 1546, 3433, 236858, 236751, 236743, 236770, 236771, 8151, 236964, 236825, 8711, 4771, 236761, 1174, 1093, 1601, 775, 96820, 506, 10368, 573, 21736, 532, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 24392, 1083, 78493, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236812, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236828, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236828, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236825, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236778, 236810, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 24392, 1083, 78493, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236778, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236800, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236832, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236812, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236828, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236819, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236825, 236771, 15947, 104960, 623, 6011, 1083, 3714, 9783, 236779, 1496, 3223, 236779, 7414, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 976, 236779, 44340, 236779, 24392, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236785, 236756, 236778, 236771, 236770, 236800, 236770, 236812, 236787, 236771, 236771, 827, 623, 18553, 236779, 27495, 1083, 623, 236778, 236825, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 23179, 623, 85038, 567, 1083, 623, 27403, 236743, 236778, 236828, 594, 3831, 3718, 31632, 9948, 1913, 58745, 3885, 5483, 531, 5505, 236743, 236810, 594, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 573, 506, 236743, 236770, 236771, 8151, 236964, 236825, 8711, 4771, 580, 1800, 14069, 236787, 108, 1018, 27403, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 568, 192038, 236764, 28963, 1473, 1018, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 66515, 236743, 236832, 236810, 237366, 236811, 568, 236778, 236812, 237366, 236780, 236768, 1109, 236743, 236810, 236908, 31632, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 66515, 236743, 236828, 236778, 237366, 236811, 568, 236778, 236828, 237366, 236780, 236768, 1109, 236743, 236770, 236810, 236908, 31632, 138, 107, 236772, 5213, 236825, 236787, 236771, 236771, 8711, 66515, 236743, 236832, 236819, 237366, 236811, 568, 236778, 236825, 237366, 236780, 236768, 1109, 236743, 236778, 236810, 236908, 31632, 138, 107, 1018, 17043, 4771, 66515, 33299, 531, 3649, 12399, 44229, 236770, 236810, 236908, 6927, 6584, 236768, 108, 1018, 30211, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 192038, 236764, 28963, 1473, 1018, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 66515, 236743, 236832, 236778, 237366, 236811, 568, 236778, 236778, 237366, 236780, 236768, 1109, 236743, 236800, 236771, 236908, 31632, 138, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 66515, 236743, 236828, 236770, 237366, 236811, 568, 236778, 236832, 237366, 236780, 236768, 1109, 236743, 236812, 236810, 236908, 31632, 138, 107, 236772, 5213, 236825, 236787, 236771, 236771, 8711, 66515, 236743, 236828, 236812, 237366, 236811, 568, 236778, 236819, 237366, 236780, 236768, 1109, 236743, 236825, 236771, 236908, 31632, 138, 107, 1018, 17043, 4771, 66515, 21107, 5597, 1186, 568, 236800, 236771, 236908, 6927, 6584, 236764, 15213, 42269, 236768, 108, 10354, 111506, 236787, 107, 1018, 27403, 236743, 236778, 236828, 594, 1018, 815, 8792, 3718, 31632, 9948, 1913, 58745, 3885, 568, 2074, 236743, 236778, 236810, 236908, 7728, 236761, 236743, 236825, 236771, 236908, 580, 5505, 236743, 236810, 594, 769, 145558, 659, 992, 22541, 9650, 573, 11690, 981, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2426, 11858, 7606, 9935, 573, 1239, 14069, 531, 9128, 10944, 3439, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 11858, 7606, 9935, 573, 5142, 236743, 236778, 236828, 594, 532, 5505, 236743, 236810, 594, 528, 39023, 1699, 506, 15375, 236743, 236800, 236819, 236761, 236770, 236771, 236800, 236770, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236810, 236770, 236778, 236771, 237366, 649, 236881, 564, 236858, 236753, 1133, 531, 1460, 4398, 4022, 21280, 532, 31632, 7132, 573, 1239, 14069, 1024, 506, 3068, 236743, 236810, 1518, 236761, 1174, 1093, 1601, 9128, 768, 5142, 236743, 236778, 236828, 594, 236858, 236751, 14415, 100146, 607, 10944, 3439, 653, 768, 5505, 236743, 236810, 594, 2473, 65121, 4006, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56220, 1083, 3714, 41713, 1083, 753, 236828, 236812, 236761, 236810, 236770, 236778, 236764, 623, 37673, 1083, 236743, 236800, 236819, 236761, 236770, 236771, 236800, 236770, 1263, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236825, 236828, 236761, 236778, 236764, 623, 2074, 1083, 236743, 236828, 236812, 236761, 236810, 1263, 623, 44340, 236779, 27521, 1083, 623, 236825, 236810, 236908, 6584, 529, 139938, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236771, 236761, 236770, 236764, 623, 2074, 1083, 236743, 236828, 236825, 236761, 236832, 1263, 623, 44340, 236779, 27521, 1083, 623, 236812, 236771, 236908, 6584, 529, 29892, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236825, 236832, 236761, 236828, 236764, 623, 2074, 1083, 236743, 236828, 236778, 236761, 236800, 1263, 623, 44340, 236779, 27521, 1083, 623, 236778, 236771, 236908, 6584, 529, 2214, 6927, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236770, 236761, 236771, 236764, 623, 2074, 1083, 236743, 236828, 236828, 236761, 236771, 1263, 623, 44340, 236779, 27521, 1083, 623, 236770, 236810, 236908, 6584, 529, 4813, 48312, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236825, 236819, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236828, 236810, 236761, 236810, 1263, 623, 44340, 236779, 27521, 1083, 623, 236810, 236771, 236908, 6584, 529, 7274, 6927, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236778, 236761, 236800, 236764, 623, 2074, 1083, 236743, 236828, 236819, 236761, 236770, 1263, 623, 44340, 236779, 27521, 1083, 623, 236770, 236771, 236908, 6584, 529, 8652, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236800, 236761, 236771, 236764, 623, 2074, 1083, 236743, 236819, 236771, 236761, 236810, 1263, 623, 44340, 236779, 27521, 1083, 623, 236810, 236908, 6584, 529, 143996, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236812, 236761, 236778, 236764, 623, 2074, 1083, 236743, 236819, 236770, 236761, 236771, 1263, 623, 44340, 236779, 27521, 1083, 623, 236771, 236908, 6584, 529, 31632, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236810, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236819, 236778, 236761, 236800, 1263, 623, 44340, 236779, 27521, 1083, 623, 236778, 236810, 236908, 6584, 529, 12399, 48312, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236800, 236761, 236828, 236764, 623, 2074, 1083, 236743, 236828, 236819, 236761, 236832, 1263, 623, 44340, 236779, 27521, 1083, 623, 236800, 236810, 236908, 6584, 529, 25581, 6927, 25938, 1604, 623, 28263, 1083, 3714, 27495, 236779, 58043, 1083, 623, 22406, 884, 33085, 1024, 506, 3068, 236743, 236810, 1518, 236764, 607, 5505, 236743, 236810, 594, 47284, 236743, 236778, 236761, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 90756, 1082, 5142, 236743, 236778, 236828, 594, 827, 623, 44340, 236779, 20001, 1083, 623, 27403, 236743, 236778, 236828, 594, 3831, 3715, 28590, 528, 31632, 568, 236770, 236810, 236772, 236825, 236810, 236908, 6584, 236768, 5483, 531, 5505, 236743, 236810, 594, 568, 236771, 236772, 236800, 236810, 236908, 6584, 22730, 623, 15879, 236779, 11243, 1083, 623, 105330, 52910, 29146, 657, 236743, 236828, 236772, 236770, 236778, 44269, 1913, 1800, 13443, 827, 623, 77269, 1083, 623, 55751, 31992, 52916, 236743, 236825, 236810, 236772, 236832, 236778, 236908, 528, 5226, 5142, 7728, 236743, 236810, 236828, 236772, 236825, 236825, 236908, 528, 3649, 5505, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 7606, 3671, 573, 39023, 568, 236800, 236819, 236761, 236770, 236771, 236800, 236770, 237366, 236797, 236764, 236743, 236828, 236812, 236761, 236810, 236770, 236778, 236771, 237366, 236824, 236768, 573, 5142, 236743, 236778, 236828, 594, 532, 5505, 236743, 236810, 594, 1024, 506, 3068, 236743, 236810, 1518, 236787, 108, 1018, 51994, 48993, 53121, 107, 236772, 5213, 27403, 236743, 236778, 236828, 594, 66515, 29748, 2644, 236743, 236825, 236832, 236761, 236828, 237366, 236811, 236964, 236828, 236828, 236761, 236771, 237366, 236811, 568, 236778, 236771, 236778, 236771, 236964, 236778, 236771, 236778, 236812, 779, 607, 39869, 33085, 529, 900, 236770, 236761, 236778, 237366, 236811, 810, 1051, 107, 236772, 5213, 30211, 236743, 236810, 594, 66515, 29748, 2644, 236743, 236832, 236778, 236761, 236800, 237366, 236811, 236964, 236819, 236778, 236761, 236800, 237366, 236811, 568, 236778, 236771, 236778, 236771, 236964, 236778, 236771, 236778, 236812, 779, 6807, 919, 10385, 11139, 32156, 236771, 236761, 236810, 237366, 236811, 236786, 3704, 236768, 107, 236772, 5213, 53377, 66515, 5505, 236743, 236810, 594, 52916, 5213, 236778, 236761, 236828, 237366, 236811, 90756, 1018, 1082, 5142, 236743, 236778, 236828, 594, 108, 1018, 3695, 30815, 5135, 72627, 53121, 107, 236772, 5213, 27403, 236743, 236778, 236828, 594, 66515, 236743, 236770, 236810, 236964, 236825, 236810, 236908, 31632, 6584, 568, 22785, 90419, 4588, 236768, 107, 236772, 5213, 30211, 236743, 236810, 594, 66515, 236743, 236771, 236964, 236800, 236810, 236908, 31632, 6584, 568, 5576, 9958, 6299, 3439, 236768, 107, 236772, 5213, 3503, 98964, 66515, 5505, 236743, 236810, 594, 41063, 815, 5213, 236778, 236771, 236908, 3718, 4398, 6927, 9948, 125546, 3635, 607, 3715, 11139, 108, 1018, 236778, 236771, 236778, 236800, 74544, 7728, 34641, 17509, 236751, 53121, 107, 236772, 5142, 236743, 236778, 236828, 594, 236743, 236778, 236771, 236778, 236800, 14415, 568, 236770, 236810, 236964, 236778, 236810, 236908, 6927, 236768, 100146, 607, 506, 5213, 11462, 1345, 1018, 529, 11858, 28590, 107, 236772, 5505, 236743, 236810, 594, 236743, 236778, 236771, 236778, 236800, 14415, 568, 236800, 236771, 236964, 236825, 236771, 236908, 6927, 236768, 3831, 5213, 87596, 236772, 14560, 236772, 28128, 1018, 31632, 18190, 108, 10354, 111506, 236787, 107, 8409, 5142, 236743, 236778, 236828, 594, 5469, 141027, 11139, 236764, 11858, 1262, 3831, 625, 236789, 236751, 919, 38871, 531, 11059, 48312, 236761, 5505, 236743, 236810, 594, 4728, 5213, 5576, 53400, 7606, 1018, 607, 3718, 6927, 7132, 236764, 3635, 20226, 47989, 573, 90756, 3439, 568, 236819, 236771, 237366, 236811, 236862, 769, 17770, 822, 1202, 573, 6299, 58745, 3885, 236764, 5213, 30211, 236743, 236810, 594, 7412, 39425, 919, 27661, 1018, 9785, 506, 5387, 236761, 21284, 611, 1133, 786, 531, 2426, 19296, 3546, 653, 58343, 1523, 1262, 573, 1239, 14069, 531, 59638, 6995, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2460, 2148, 9735, 528, 39023, 532, 1202, 531, 2426, 506, 51599, 7606, 14415, 573, 506, 3207, 236761, 28344, 611, 2847, 4889, 580, 4022, 21280, 532, 31632, 9948, 5459, 506, 1719, 236881, 564, 1461, 531, 5330, 692, 4351, 506, 1791, 2653, 3433, 573, 1023, 3399, 30918, 2203, 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, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 3714, 11480, 1083, 236743, 236832, 236828, 236764, 623, 976, 1083, 236743, 236825, 236810, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 236779, 60423, 1083, 623, 236770, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 77269, 1083, 623, 236825, 236810, 171446, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 3714, 11480, 1083, 236743, 236828, 236778, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 236779, 60423, 1083, 623, 236778, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 44269, 827, 623, 77269, 1083, 623, 236810, 236828, 171446, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 3714, 11480, 1083, 236743, 236832, 236825, 236764, 623, 976, 1083, 236743, 236825, 236828, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 236779, 60423, 1083, 623, 236812, 236771, 70887, 623, 15879, 236779, 11243, 1083, 623, 236825, 44269, 827, 623, 77269, 1083, 623, 236832, 236778, 236908, 25938, 1604, 623, 7125, 1083, 623, 192038, 236764, 28963, 827, 623, 52511, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 51599, 7606, 14415, 573, 39023, 236764, 28963, 580, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 108, 1018, 236770, 236771, 236787, 236771, 236771, 8151, 1018, 107, 236772, 35267, 236787, 236743, 236825, 236810, 237366, 236811, 236964, 236832, 236828, 237366, 236811, 107, 236772, 212775, 236787, 236743, 236770, 236810, 236908, 6584, 107, 236772, 18324, 236787, 236743, 236828, 44269, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 108, 1018, 236778, 236787, 236771, 236771, 8711, 1018, 107, 236772, 35267, 236787, 236743, 236832, 236771, 237366, 236811, 236964, 236828, 236778, 237366, 236811, 107, 236772, 212775, 236787, 236743, 236778, 236810, 236908, 6584, 107, 236772, 18324, 236787, 236743, 236770, 236778, 44269, 107, 236772, 208719, 236787, 236743, 236810, 236828, 236908, 108, 1018, 236825, 236787, 236771, 236771, 8711, 1018, 107, 236772, 35267, 236787, 236743, 236825, 236828, 237366, 236811, 236964, 236832, 236825, 237366, 236811, 107, 236772, 212775, 236787, 236743, 236812, 236771, 236908, 6584, 107, 236772, 18324, 236787, 236743, 236825, 44269, 107, 236772, 208719, 236787, 236743, 236832, 236778, 236908, 108, 818, 1791, 4771, 573, 822, 11690, 2460, 1093, 4547, 577, 5213, 67719, 531, 3649, 12399, 125546, 1056, 31632, 18190, 4196, 3426, 236743, 236778, 236810, 236908, 532, 11139, 659, 9650, 236761, 3763, 9137, 236764, 6927, 9948, 8110, 531, 236743, 236812, 236771, 9525, 21284, 611, 1133, 49054, 573, 4767, 14069, 531, 10769, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 51599, 49054, 573, 5142, 236743, 236778, 236828, 594, 532, 5505, 236743, 236810, 594, 618, 1388, 236881, 564, 1461, 531, 10769, 837, 9735, 815, 506, 14723, 6584, 529, 6927, 1913, 58745, 3885, 573, 1023, 11690, 981, 236761, 39799, 236764, 564, 236858, 236753, 1202, 4022, 21280, 532, 31632, 9948, 573, 1546, 3433, 236858, 236751, 236743, 236770, 236771, 8151, 236964, 236825, 8711, 4771, 236761, 1174, 1093, 1601, 775, 96820, 506, 10368, 573, 21736, 532, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 24392, 1083, 78493, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236812, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236828, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236828, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236825, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236778, 236810, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 24392, 1083, 78493, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236778, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236800, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236832, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236812, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236828, 236787, 236771, 236771, 827, 623, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236819, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236825, 236771, 15947, 104960, 623, 6011, 1083, 3714, 9783, 236779, 1496, 3223, 236779, 7414, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 976, 236779, 44340, 236779, 24392, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236785, 236756, 236778, 236771, 236770, 236800, 236770, 236812, 236787, 236771, 236771, 827, 623, 18553, 236779, 27495, 1083, 623, 236778, 236825, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 23179, 623, 85038, 567, 1083, 623, 27403, 236743, 236778, 236828, 594, 3831, 3718, 31632, 9948, 1913, 58745, 3885, 5483, 531, 5505, 236743, 236810, 594, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 573, 506, 236743, 236770, 236771, 8151, 236964, 236825, 8711, 4771, 580, 1800, 14069, 236787, 108, 1018, 27403, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 568, 192038, 236764, 28963, 1473, 1018, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 66515, 236743, 236832, 236810, 237366, 236811, 568, 236778, 236812, 237366, 236780, 236768, 1109, 236743, 236810, 236908, 31632, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 66515, 236743, 236828, 236778, 237366, 236811, 568, 236778, 236828, 237366, 236780, 236768, 1109, 236743, 236770, 236810, 236908, 31632, 138, 107, 236772, 5213, 236825, 236787, 236771, 236771, 8711, 66515, 236743, 236832, 236819, 237366, 236811, 568, 236778, 236825, 237366, 236780, 236768, 1109, 236743, 236778, 236810, 236908, 31632, 138, 107, 1018, 17043, 4771, 66515, 33299, 531, 3649, 12399, 44229, 236770, 236810, 236908, 6927, 6584, 236768, 108, 1018, 30211, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 192038, 236764, 28963, 1473, 1018, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 66515, 236743, 236832, 236778, 237366, 236811, 568, 236778, 236778, 237366, 236780, 236768, 1109, 236743, 236800, 236771, 236908, 31632, 138, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 66515, 236743, 236828, 236770, 237366, 236811, 568, 236778, 236832, 237366, 236780, 236768, 1109, 236743, 236812, 236810, 236908, 31632, 138, 107, 236772, 5213, 236825, 236787, 236771, 236771, 8711, 66515, 236743, 236828, 236812, 237366, 236811, 568, 236778, 236819, 237366, 236780, 236768, 1109, 236743, 236825, 236771, 236908, 31632, 138, 107, 1018, 17043, 4771, 66515, 21107, 5597, 1186, 568, 236800, 236771, 236908, 6927, 6584, 236764, 15213, 42269, 236768, 108, 10354, 111506, 236787, 107, 1018, 27403, 236743, 236778, 236828, 594, 1018, 815, 8792, 3718, 31632, 9948, 1913, 58745, 3885, 568, 2074, 236743, 236778, 236810, 236908, 7728, 236761, 236743, 236825, 236771, 236908, 580, 5505, 236743, 236810, 594, 769, 145558, 659, 992, 22541, 9650, 573, 11690, 981, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2426, 11858, 7606, 9935, 573, 1239, 14069, 531, 9128, 10944, 3439, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 11858, 7606, 9935, 573, 5142, 236743, 236778, 236828, 594, 532, 5505, 236743, 236810, 594, 528, 39023, 1699, 506, 15375, 236743, 236800, 236819, 236761, 236770, 236771, 236800, 236770, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236810, 236770, 236778, 236771, 237366, 649, 236881, 564, 236858, 236753, 1133, 531, 1460, 4398, 4022, 21280, 532, 31632, 7132, 573, 1239, 14069, 1024, 506, 3068, 236743, 236810, 1518, 236761, 1174, 1093, 1601, 9128, 768, 5142, 236743, 236778, 236828, 594, 236858, 236751, 14415, 100146, 607, 10944, 3439, 653, 768, 5505, 236743, 236810, 594, 2473, 65121, 4006, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56220, 1083, 3714, 41713, 1083, 753, 236828, 236812, 236761, 236810, 236770, 236778, 236764, 623, 37673, 1083, 236743, 236800, 236819, 236761, 236770, 236771, 236800, 236770, 1263, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236825, 236828, 236761, 236778, 236764, 623, 2074, 1083, 236743, 236828, 236812, 236761, 236810, 1263, 623, 44340, 236779, 27521, 1083, 623, 236825, 236810, 236908, 6584, 529, 139938, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236771, 236761, 236770, 236764, 623, 2074, 1083, 236743, 236828, 236825, 236761, 236832, 1263, 623, 44340, 236779, 27521, 1083, 623, 236812, 236771, 236908, 6584, 529, 29892, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236825, 236832, 236761, 236828, 236764, 623, 2074, 1083, 236743, 236828, 236778, 236761, 236800, 1263, 623, 44340, 236779, 27521, 1083, 623, 236778, 236771, 236908, 6584, 529, 2214, 6927, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236770, 236761, 236771, 236764, 623, 2074, 1083, 236743, 236828, 236828, 236761, 236771, 1263, 623, 44340, 236779, 27521, 1083, 623, 236770, 236810, 236908, 6584, 529, 4813, 48312, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236825, 236819, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236828, 236810, 236761, 236810, 1263, 623, 44340, 236779, 27521, 1083, 623, 236810, 236771, 236908, 6584, 529, 7274, 6927, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236778, 236761, 236800, 236764, 623, 2074, 1083, 236743, 236828, 236819, 236761, 236770, 1263, 623, 44340, 236779, 27521, 1083, 623, 236770, 236771, 236908, 6584, 529, 8652, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236800, 236761, 236771, 236764, 623, 2074, 1083, 236743, 236819, 236771, 236761, 236810, 1263, 623, 44340, 236779, 27521, 1083, 623, 236810, 236908, 6584, 529, 143996, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236812, 236761, 236778, 236764, 623, 2074, 1083, 236743, 236819, 236770, 236761, 236771, 1263, 623, 44340, 236779, 27521, 1083, 623, 236771, 236908, 6584, 529, 31632, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236810, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236819, 236778, 236761, 236800, 1263, 623, 44340, 236779, 27521, 1083, 623, 236778, 236810, 236908, 6584, 529, 12399, 48312, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 28128, 236779, 27495, 1083, 3714, 1387, 1083, 236743, 236832, 236800, 236761, 236828, 236764, 623, 2074, 1083, 236743, 236828, 236819, 236761, 236832, 1263, 623, 44340, 236779, 27521, 1083, 623, 236800, 236810, 236908, 6584, 529, 25581, 6927, 25938, 1604, 623, 28263, 1083, 3714, 27495, 236779, 58043, 1083, 623, 22406, 884, 33085, 1024, 506, 3068, 236743, 236810, 1518, 236764, 607, 5505, 236743, 236810, 594, 47284, 236743, 236778, 236761, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 90756, 1082, 5142, 236743, 236778, 236828, 594, 827, 623, 44340, 236779, 20001, 1083, 623, 27403, 236743, 236778, 236828, 594, 3831, 3715, 28590, 528, 31632, 568, 236770, 236810, 236772, 236825, 236810, 236908, 6584, 236768, 5483, 531, 5505, 236743, 236810, 594, 568, 236771, 236772, 236800, 236810, 236908, 6584, 22730, 623, 15879, 236779, 11243, 1083, 623, 105330, 52910, 29146, 657, 236743, 236828, 236772, 236770, 236778, 44269, 1913, 1800, 13443, 827, 623, 77269, 1083, 623, 55751, 31992, 52916, 236743, 236825, 236810, 236772, 236832, 236778, 236908, 528, 5226, 5142, 7728, 236743, 236810, 236828, 236772, 236825, 236825, 236908, 528, 3649, 5505, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 7606, 3671, 573, 39023, 568, 236800, 236819, 236761, 236770, 236771, 236800, 236770, 237366, 236797, 236764, 236743, 236828, 236812, 236761, 236810, 236770, 236778, 236771, 237366, 236824, 236768, 573, 5142, 236743, 236778, 236828, 594, 532, 5505, 236743, 236810, 594, 1024, 506, 3068, 236743, 236810, 1518, 236787, 108, 1018, 51994, 48993, 53121, 107, 236772, 5213, 27403, 236743, 236778, 236828, 594, 66515, 29748, 2644, 236743, 236825, 236832, 236761, 236828, 237366, 236811, 236964, 236828, 236828, 236761, 236771, 237366, 236811, 568, 236778, 236771, 236778, 236771, 236964, 236778, 236771, 236778, 236812, 779, 607, 39869, 33085, 529, 900, 236770, 236761, 236778, 237366, 236811, 810, 1051, 107, 236772, 5213, 30211, 236743, 236810, 594, 66515, 29748, 2644, 236743, 236832, 236778, 236761, 236800, 237366, 236811, 236964, 236819, 236778, 236761, 236800, 237366, 236811, 568, 236778, 236771, 236778, 236771, 236964, 236778, 236771, 236778, 236812, 779, 6807, 919, 10385, 11139, 32156, 236771, 236761, 236810, 237366, 236811, 236786, 3704, 236768, 107, 236772, 5213, 53377, 66515, 5505, 236743, 236810, 594, 52916, 5213, 236778, 236761, 236828, 237366, 236811, 90756, 1018, 1082, 5142, 236743, 236778, 236828, 594, 108, 1018, 3695, 30815, 5135, 72627, 53121, 107, 236772, 5213, 27403, 236743, 236778, 236828, 594, 66515, 236743, 236770, 236810, 236964, 236825, 236810, 236908, 31632, 6584, 568, 22785, 90419, 4588, 236768, 107, 236772, 5213, 30211, 236743, 236810, 594, 66515, 236743, 236771, 236964, 236800, 236810, 236908, 31632, 6584, 568, 5576, 9958, 6299, 3439, 236768, 107, 236772, 5213, 3503, 98964, 66515, 5505, 236743, 236810, 594, 41063, 815, 5213, 236778, 236771, 236908, 3718, 4398, 6927, 9948, 125546, 3635, 607, 3715, 11139, 108, 1018, 236778, 236771, 236778, 236800, 74544, 7728, 34641, 17509, 236751, 53121, 107, 236772, 5142, 236743, 236778, 236828, 594, 236743, 236778, 236771, 236778, 236800, 14415, 568, 236770, 236810, 236964, 236778, 236810, 236908, 6927, 236768, 100146, 607, 506, 5213, 11462, 1345, 1018, 529, 11858, 28590, 107, 236772, 5505, 236743, 236810, 594, 236743, 236778, 236771, 236778, 236800, 14415, 568, 236800, 236771, 236964, 236825, 236771, 236908, 6927, 236768, 3831, 5213, 87596, 236772, 14560, 236772, 28128, 1018, 31632, 18190, 108, 10354, 111506, 236787, 107, 8409, 5142, 236743, 236778, 236828, 594, 5469, 141027, 11139, 236764, 11858, 1262, 3831, 625, 236789, 236751, 919, 38871, 531, 11059, 48312, 236761, 5505, 236743, 236810, 594, 4728, 5213, 5576, 53400, 7606, 1018, 607, 3718, 6927, 7132, 236764, 3635, 20226, 47989, 573, 90756, 3439, 568, 236819, 236771, 237366, 236811, 236862, 769, 17770, 822, 1202, 573, 6299, 58745, 3885, 236764, 5213, 30211, 236743, 236810, 594, 7412, 39425, 919, 27661, 1018, 9785, 506, 5387, 236761, 21284, 611, 1133, 786, 531, 2426, 19296, 3546, 653, 58343, 1523, 1262, 573, 1239, 14069, 531, 59638, 6995, 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, 6995, 496, 75693, 657, 8297, 31719, 4025, 4556, 573, 506, 2263, 7626, 23803, 236761, 564, 1461, 531, 2619, 496, 44426, 3393, 600, 3298, 531, 496, 15130, 41219, 3104, 573, 100608, 2338, 564, 1281, 1070, 13131, 2473, 39540, 528, 100608, 237028, 3307, 8705, 236789, 236751, 2523, 236789, 236751, 699, 9405, 236764, 834, 625, 236789, 236751, 496, 3756, 4691, 236761, 5315, 236764, 740, 611, 2426, 506, 1694, 529, 8008, 48234, 531, 1386, 2889, 756, 79271, 236789, 563, 5012, 236881, 4298, 236764, 768, 625, 563, 236764, 8729, 496, 2604, 44426, 3393, 573, 506, 10739, 756, 2574, 1411, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236786, 27617, 236772, 67833, 236881, 27617, 236784, 79271, 6748, 564, 236789, 560, 1010, 73281, 607, 2604, 236772, 211865, 1610, 33208, 236764, 834, 506, 2258, 236789, 236751, 2132, 573, 1041, 2203, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 78493, 3970, 1083, 623, 79271, 827, 623, 1201, 1083, 623, 66574, 827, 623, 22037, 1083, 6443, 236756, 236778, 236771, 552, 23179, 3714, 3970, 1083, 623, 38556, 827, 623, 1201, 1083, 623, 3118, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 142026, 827, 623, 1201, 1083, 623, 53485, 105511, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236800, 23179, 3714, 3970, 1083, 623, 198481, 827, 623, 1201, 1083, 623, 53187, 81027, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236810, 23179, 3714, 3970, 1083, 623, 51360, 827, 623, 1201, 1083, 623, 72888, 46754, 827, 623, 22037, 1083, 623, 5635, 75580, 165075, 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, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 1192, 236786, 2574, 236908, 236800, 236776, 236908, 236778, 236811, 236908, 236778, 236811, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236908, 236778, 236811, 27617, 236772, 67833, 236908, 236800, 236811, 27617, 236908, 236800, 4070, 2402, 827, 623, 3001, 1083, 623, 1192, 827, 623, 4818, 1083, 623, 19631, 827, 623, 126452, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 2864, 815, 1010, 10428, 18761, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 240732, 5213, 51574, 7179, 66515, 669, 35594, 568, 66574, 236768, 15130, 563, 10778, 528, 506, 8008, 1694, 607, 3393, 623, 79271, 827, 1463, 623, 66574, 827, 532, 5404, 623, 237762, 3056, 108, 245838, 5213, 9264, 44426, 8739, 60257, 66515, 138, 107, 818, 44426, 3393, 573, 2165, 2574, 1411, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236786, 27617, 236772, 67833, 236881, 27617, 236784, 79271, 236929, 815, 1010, 4464, 528, 2604, 618, 15633, 236761, 138, 107, 245958, 5213, 38943, 8739, 10739, 66515, 870, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 1192, 236786, 2574, 236908, 236800, 236776, 236908, 236778, 236811, 236908, 236778, 236811, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236908, 236778, 236811, 27617, 236772, 67833, 236908, 236800, 236811, 27617, 236908, 236800, 4070, 2402, 5457, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 1192, 236786, 2574, 236908, 236800, 236776, 236908, 236778, 236811, 236908, 236778, 236811, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236908, 236778, 236811, 27617, 236772, 67833, 236908, 236800, 236811, 27617, 236908, 236800, 4070, 2402, 236768, 138, 107, 249022, 5213, 199702, 66515, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 2094, 2604, 236772, 211865, 44426, 3393, 795, 13275, 14125, 822, 1610, 236772, 41889, 75693, 573, 506, 8297, 31719, 4025, 4556, 7626, 23803, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 245318, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 75693, 657, 8297, 31719, 4025, 4556, 573, 506, 2263, 7626, 23803, 236761, 564, 1461, 531, 2619, 496, 44426, 3393, 600, 3298, 531, 496, 15130, 41219, 3104, 573, 100608, 2338, 564, 1281, 1070, 13131, 2473, 39540, 528, 100608, 237028, 3307, 8705, 236789, 236751, 2523, 236789, 236751, 699, 9405, 236764, 834, 625, 236789, 236751, 496, 3756, 4691, 236761, 5315, 236764, 740, 611, 2426, 506, 1694, 529, 8008, 48234, 531, 1386, 2889, 756, 79271, 236789, 563, 5012, 236881, 4298, 236764, 768, 625, 563, 236764, 8729, 496, 2604, 44426, 3393, 573, 506, 10739, 756, 2574, 1411, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236786, 27617, 236772, 67833, 236881, 27617, 236784, 79271, 6748, 564, 236789, 560, 1010, 73281, 607, 2604, 236772, 211865, 1610, 33208, 236764, 834, 506, 2258, 236789, 236751, 2132, 573, 1041, 2203, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 78493, 3970, 1083, 623, 79271, 827, 623, 1201, 1083, 623, 66574, 827, 623, 22037, 1083, 6443, 236756, 236778, 236771, 552, 23179, 3714, 3970, 1083, 623, 38556, 827, 623, 1201, 1083, 623, 3118, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 142026, 827, 623, 1201, 1083, 623, 53485, 105511, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236800, 23179, 3714, 3970, 1083, 623, 198481, 827, 623, 1201, 1083, 623, 53187, 81027, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236810, 23179, 3714, 3970, 1083, 623, 51360, 827, 623, 1201, 1083, 623, 72888, 46754, 827, 623, 22037, 1083, 623, 5635, 75580, 165075, 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, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 1192, 236786, 2574, 236908, 236800, 236776, 236908, 236778, 236811, 236908, 236778, 236811, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236908, 236778, 236811, 27617, 236772, 67833, 236908, 236800, 236811, 27617, 236908, 236800, 4070, 2402, 827, 623, 3001, 1083, 623, 1192, 827, 623, 4818, 1083, 623, 19631, 827, 623, 126452, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 2864, 815, 1010, 10428, 18761, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 240732, 5213, 51574, 7179, 66515, 669, 35594, 568, 66574, 236768, 15130, 563, 10778, 528, 506, 8008, 1694, 607, 3393, 623, 79271, 827, 1463, 623, 66574, 827, 532, 5404, 623, 237762, 3056, 108, 245838, 5213, 9264, 44426, 8739, 60257, 66515, 138, 107, 818, 44426, 3393, 573, 2165, 2574, 1411, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236786, 27617, 236772, 67833, 236881, 27617, 236784, 79271, 236929, 815, 1010, 4464, 528, 2604, 618, 15633, 236761, 138, 107, 245958, 5213, 38943, 8739, 10739, 66515, 870, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 1192, 236786, 2574, 236908, 236800, 236776, 236908, 236778, 236811, 236908, 236778, 236811, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236908, 236778, 236811, 27617, 236772, 67833, 236908, 236800, 236811, 27617, 236908, 236800, 4070, 2402, 5457, 2574, 1411, 3677, 236761, 117129, 3677, 236761, 854, 236786, 48203, 236786, 1192, 236786, 2574, 236908, 236800, 236776, 236908, 236778, 236811, 236908, 236778, 236811, 9341, 236772, 5412, 236751, 236772, 4873, 665, 236761, 2187, 236908, 236778, 236811, 27617, 236772, 67833, 236908, 236800, 236811, 27617, 236908, 236800, 4070, 2402, 236768, 138, 107, 249022, 5213, 199702, 66515, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 2094, 2604, 236772, 211865, 44426, 3393, 795, 13275, 14125, 822, 1610, 236772, 41889, 75693, 573, 506, 8297, 31719, 4025, 4556, 7626, 23803, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 245318, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1023, 2260, 5975, 236789, 236751, 7946, 531, 66341, 236761, 3792, 236789, 236751, 1502, 684, 1699, 974, 236779, 27617, 531, 2426, 506, 1873, 8770, 3136, 573, 90352, 236761, 4298, 236764, 1161, 1977, 236779, 13308, 236779, 7239, 607, 506, 19573, 236789, 236751, 15444, 5853, 623, 1659, 107007, 236798, 88790, 114699, 236800, 236814, 1659, 236874, 236759, 236794, 654, 147352, 236791, 1340, 228471, 77272, 236775, 531, 9128, 3662, 8283, 532, 3885, 236761, 13472, 236764, 33205, 4889, 573, 1023, 2148, 1676, 1699, 974, 3070, 2003, 547, 607, 2260, 5853, 623, 76956, 236772, 236819, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 3056, 7714, 2918, 9796, 580, 506, 3527, 886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27617, 236779, 3970, 1083, 623, 38556, 827, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236764, 623, 22037, 1083, 6610, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 54912, 39015, 72791, 8817, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 163200, 17713, 236764, 66341, 236764, 15009, 236743, 236778, 236819, 236812, 236771, 236770, 827, 623, 5275, 236779, 5640, 1083, 10955, 236770, 236743, 236828, 236812, 236800, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 35522, 236779, 24392, 1083, 3714, 49381, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 55703, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 58189, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 54904, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 46325, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 31935, 1083, 623, 2574, 1411, 574, 2945, 39015, 31189, 835, 236761, 2187, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3070, 236779, 547, 1083, 623, 76956, 236772, 236819, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 818, 99232, 47880, 827, 623, 6386, 1083, 623, 65897, 98881, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236770, 236772, 236778, 236800, 236812, 236810, 236772, 236825, 236832, 236828, 236819, 236772, 236771, 827, 623, 6011, 1083, 623, 236776, 63375, 9338, 1343, 11497, 25027, 532, 12440, 31156, 236764, 4011, 573, 2260, 19571, 12985, 26460, 532, 146059, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 56036, 1083, 623, 229186, 236786, 142145, 827, 623, 4000, 236779, 2861, 1083, 236743, 236800, 236778, 236771, 236764, 623, 56905, 1083, 623, 21550, 573, 7408, 532, 5177, 6463, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 1938, 573, 822, 66341, 2260, 5975, 7946, 6995, 236787, 108, 236770, 236761, 5213, 51574, 23614, 66515, 236743, 107, 139, 236772, 23058, 563, 506, 2263, 15130, 568, 39588, 3136, 609, 236770, 236761, 236771, 236771, 236768, 573, 66341, 236764, 15009, 753, 951, 14274, 4354, 573, 90352, 236761, 108, 236778, 236761, 5213, 131020, 20303, 66515, 107, 139, 236772, 5213, 54912, 39015, 72791, 8817, 1018, 236743, 107, 139, 236772, 236743, 244343, 236743, 236770, 236778, 236800, 163200, 17713, 236764, 66341, 236764, 15009, 236743, 236778, 236819, 236812, 236771, 236770, 107, 139, 236772, 236743, 246080, 900, 236770, 236743, 236828, 236812, 236800, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 107, 139, 236772, 236743, 246539, 35174, 236787, 236743, 107, 141, 236772, 4325, 236786, 32035, 236786, 110239, 236787, 236743, 236770, 236771, 8151, 753, 236743, 236825, 8711, 107, 141, 236772, 119428, 236786, 120053, 236787, 236743, 236770, 236771, 8151, 753, 236743, 236828, 8711, 236743, 107, 141, 236772, 15872, 236787, 236743, 236819, 8151, 753, 236743, 236810, 8711, 107, 141, 236772, 7718, 236787, 65287, 107, 139, 236772, 236743, 246978, 21124, 236787, 870, 574, 2945, 39015, 31189, 835, 236761, 2187, 5457, 2574, 1411, 574, 2945, 39015, 31189, 835, 236761, 2187, 236768, 108, 236800, 236761, 5213, 9272, 7167, 40424, 66515, 107, 139, 236772, 5213, 818, 99232, 47880, 1018, 684, 18821, 98881, 107, 139, 236772, 236743, 244878, 15000, 236787, 236743, 236819, 236832, 236828, 236772, 236770, 236772, 236778, 236800, 236812, 236810, 236772, 236825, 236832, 236828, 236819, 236772, 236771, 107, 139, 236772, 236743, 251988, 98566, 236787, 72289, 236786, 142145, 568, 236800, 236778, 236771, 7704, 236768, 107, 139, 236772, 236743, 245840, 25252, 236787, 11873, 2985, 11497, 25027, 532, 12440, 31156, 607, 22888, 529, 26460, 532, 146059, 107, 139, 236772, 236743, 249460, 18326, 1492, 573, 7408, 236786, 36661, 6463, 568, 32071, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 108, 3243, 3797, 817, 236888, 669, 19573, 236789, 236751, 28885, 7824, 12853, 13275, 607, 822, 2260, 5313, 1003, 11497, 25027, 236761, 18975, 564, 1601, 12262, 614, 76717, 653, 7715, 51947, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1023, 2260, 5975, 236789, 236751, 7946, 531, 66341, 236761, 3792, 236789, 236751, 1502, 684, 1699, 974, 236779, 27617, 531, 2426, 506, 1873, 8770, 3136, 573, 90352, 236761, 4298, 236764, 1161, 1977, 236779, 13308, 236779, 7239, 607, 506, 19573, 236789, 236751, 15444, 5853, 623, 1659, 107007, 236798, 88790, 114699, 236800, 236814, 1659, 236874, 236759, 236794, 654, 147352, 236791, 1340, 228471, 77272, 236775, 531, 9128, 3662, 8283, 532, 3885, 236761, 13472, 236764, 33205, 4889, 573, 1023, 2148, 1676, 1699, 974, 3070, 2003, 547, 607, 2260, 5853, 623, 76956, 236772, 236819, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 3056, 7714, 2918, 9796, 580, 506, 3527, 886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27617, 236779, 3970, 1083, 623, 38556, 827, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236764, 623, 22037, 1083, 6610, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 54912, 39015, 72791, 8817, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 163200, 17713, 236764, 66341, 236764, 15009, 236743, 236778, 236819, 236812, 236771, 236770, 827, 623, 5275, 236779, 5640, 1083, 10955, 236770, 236743, 236828, 236812, 236800, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 35522, 236779, 24392, 1083, 3714, 49381, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 55703, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 58189, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 54904, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 46325, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 31935, 1083, 623, 2574, 1411, 574, 2945, 39015, 31189, 835, 236761, 2187, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3070, 236779, 547, 1083, 623, 76956, 236772, 236819, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 818, 99232, 47880, 827, 623, 6386, 1083, 623, 65897, 98881, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236770, 236772, 236778, 236800, 236812, 236810, 236772, 236825, 236832, 236828, 236819, 236772, 236771, 827, 623, 6011, 1083, 623, 236776, 63375, 9338, 1343, 11497, 25027, 532, 12440, 31156, 236764, 4011, 573, 2260, 19571, 12985, 26460, 532, 146059, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 56036, 1083, 623, 229186, 236786, 142145, 827, 623, 4000, 236779, 2861, 1083, 236743, 236800, 236778, 236771, 236764, 623, 56905, 1083, 623, 21550, 573, 7408, 532, 5177, 6463, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 1938, 573, 822, 66341, 2260, 5975, 7946, 6995, 236787, 108, 236770, 236761, 5213, 51574, 23614, 66515, 236743, 107, 139, 236772, 23058, 563, 506, 2263, 15130, 568, 39588, 3136, 609, 236770, 236761, 236771, 236771, 236768, 573, 66341, 236764, 15009, 753, 951, 14274, 4354, 573, 90352, 236761, 108, 236778, 236761, 5213, 131020, 20303, 66515, 107, 139, 236772, 5213, 54912, 39015, 72791, 8817, 1018, 236743, 107, 139, 236772, 236743, 244343, 236743, 236770, 236778, 236800, 163200, 17713, 236764, 66341, 236764, 15009, 236743, 236778, 236819, 236812, 236771, 236770, 107, 139, 236772, 236743, 246080, 900, 236770, 236743, 236828, 236812, 236800, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 107, 139, 236772, 236743, 246539, 35174, 236787, 236743, 107, 141, 236772, 4325, 236786, 32035, 236786, 110239, 236787, 236743, 236770, 236771, 8151, 753, 236743, 236825, 8711, 107, 141, 236772, 119428, 236786, 120053, 236787, 236743, 236770, 236771, 8151, 753, 236743, 236828, 8711, 236743, 107, 141, 236772, 15872, 236787, 236743, 236819, 8151, 753, 236743, 236810, 8711, 107, 141, 236772, 7718, 236787, 65287, 107, 139, 236772, 236743, 246978, 21124, 236787, 870, 574, 2945, 39015, 31189, 835, 236761, 2187, 5457, 2574, 1411, 574, 2945, 39015, 31189, 835, 236761, 2187, 236768, 108, 236800, 236761, 5213, 9272, 7167, 40424, 66515, 107, 139, 236772, 5213, 818, 99232, 47880, 1018, 684, 18821, 98881, 107, 139, 236772, 236743, 244878, 15000, 236787, 236743, 236819, 236832, 236828, 236772, 236770, 236772, 236778, 236800, 236812, 236810, 236772, 236825, 236832, 236828, 236819, 236772, 236771, 107, 139, 236772, 236743, 251988, 98566, 236787, 72289, 236786, 142145, 568, 236800, 236778, 236771, 7704, 236768, 107, 139, 236772, 236743, 245840, 25252, 236787, 11873, 2985, 11497, 25027, 532, 12440, 31156, 607, 22888, 529, 26460, 532, 146059, 107, 139, 236772, 236743, 249460, 18326, 1492, 573, 7408, 236786, 36661, 6463, 568, 32071, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 108, 3243, 3797, 817, 236888, 669, 19573, 236789, 236751, 28885, 7824, 12853, 13275, 607, 822, 2260, 5313, 1003, 11497, 25027, 236761, 18975, 564, 1601, 12262, 614, 76717, 653, 7715, 51947, 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, 236789, 236757, 3978, 5508, 573, 496, 904, 49315, 1012, 657, 506, 3399, 3988, 532, 1202, 1070, 2317, 236764, 36342, 12384, 236761, 3199, 611, 5840, 496, 5410, 600, 236789, 236751, 4011, 573, 3978, 1331, 6049, 236881, 106, 107, 105, 4368, 107, 2021, 5840, 506, 4011, 5410, 573, 822, 904, 49315, 1012, 236764, 564, 1202, 531, 1281, 822, 12373, 18355, 236761, 13752, 41303, 573, 904, 49315, 3204, 16403, 236764, 71800, 236764, 1157, 2169, 20112, 236764, 653, 2198, 236761, 28344, 611, 1531, 786, 1281, 837, 18355, 611, 236789, 236753, 1133, 506, 25809, 531, 3213, 580, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 2765, 1157, 2169, 20112, 573, 904, 49315, 237028, 509, 236789, 236751, 2506, 600, 37818, 12222, 600, 2126, 6757, 4677, 6049, 236888, 28344, 611, 3600, 496, 4913, 1157, 2169, 20112, 4087, 600, 236789, 236751, 4011, 573, 2299, 14134, 7694, 236881, 15704, 2613, 1133, 623, 47609, 44897, 236775, 653, 496, 33530, 5524, 607, 496, 3188, 34824, 236881, 236743, 243336, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24013, 236779, 3250, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236744, 236770, 236767, 4037, 827, 623, 31040, 1083, 623, 20260, 99882, 833, 730, 34054, 178303, 827, 623, 7777, 1083, 623, 2267, 7049, 6323, 1157, 2169, 20112, 4087, 607, 496, 9204, 12222, 532, 108066, 45389, 236764, 4011, 573, 1494, 236772, 23325, 2299, 14134, 7694, 236761, 9567, 37818, 34824, 15033, 11383, 6049, 532, 27526, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 4011, 1157, 2169, 20112, 4087, 573, 822, 904, 49315, 1012, 236787, 138, 107, 243336, 5213, 236775, 236796, 18213, 4037, 236775, 684, 13741, 99882, 833, 730, 34054, 178303, 1018, 138, 107, 2094, 7049, 6323, 5524, 4065, 496, 9204, 12222, 532, 37818, 45389, 600, 236858, 859, 2514, 4677, 6049, 532, 27526, 236888, 3227, 1061, 1494, 236772, 23325, 34824, 532, 4532, 83426, 236764, 625, 236858, 236751, 7436, 573, 2299, 14134, 14845, 236761, 236743, 244312, 247424, 106, 107, 105, 2364, 107, 6372, 236789, 236751, 496, 1822, 5313, 236888, 2282, 1601, 611, 9688, 822, 904, 49315, 44262, 236764, 1451, 611, 4024, 506, 8582, 44262, 5853, 573, 822, 1012, 236881, 2981, 1595, 564, 740, 2426, 768, 623, 236796, 18213, 4037, 236775, 563, 3016, 528, 993, 653, 1694, 784, 506, 12384, 528, 822, 1873, 44262, 573, 611, 236761, 236743, 244312, 239794, 106, 107, 105, 4368, 107, 2021, 2426, 822, 1873, 904, 49315, 44262, 532, 1460, 768, 623, 236796, 18213, 4037, 236775, 563, 5012, 236764, 564, 236789, 859, 1202, 506, 5213, 53824, 44262, 5853, 84750, 1599, 740, 1586, 672, 528, 506, 10739, 529, 822, 44262, 3104, 568, 236744, 236761, 236759, 1126, 2165, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 67422, 236881, 2234, 236784, 5672, 32503, 236917, 1390, 236929, 2192, 506, 912, 1308, 2165, 2234, 76824, 563, 506, 5853, 769, 28344, 611, 4024, 600, 607, 786, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 3978, 5508, 573, 496, 904, 49315, 1012, 657, 506, 3399, 3988, 532, 1202, 1070, 2317, 236764, 36342, 12384, 236761, 3199, 611, 5840, 496, 5410, 600, 236789, 236751, 4011, 573, 3978, 1331, 6049, 236881, 106, 107, 105, 4368, 107, 2021, 5840, 506, 4011, 5410, 573, 822, 904, 49315, 1012, 236764, 564, 1202, 531, 1281, 822, 12373, 18355, 236761, 13752, 41303, 573, 904, 49315, 3204, 16403, 236764, 71800, 236764, 1157, 2169, 20112, 236764, 653, 2198, 236761, 28344, 611, 1531, 786, 1281, 837, 18355, 611, 236789, 236753, 1133, 506, 25809, 531, 3213, 580, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 2765, 1157, 2169, 20112, 573, 904, 49315, 237028, 509, 236789, 236751, 2506, 600, 37818, 12222, 600, 2126, 6757, 4677, 6049, 236888, 28344, 611, 3600, 496, 4913, 1157, 2169, 20112, 4087, 600, 236789, 236751, 4011, 573, 2299, 14134, 7694, 236881, 15704, 2613, 1133, 623, 47609, 44897, 236775, 653, 496, 33530, 5524, 607, 496, 3188, 34824, 236881, 236743, 243336, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24013, 236779, 3250, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236744, 236770, 236767, 4037, 827, 623, 31040, 1083, 623, 20260, 99882, 833, 730, 34054, 178303, 827, 623, 7777, 1083, 623, 2267, 7049, 6323, 1157, 2169, 20112, 4087, 607, 496, 9204, 12222, 532, 108066, 45389, 236764, 4011, 573, 1494, 236772, 23325, 2299, 14134, 7694, 236761, 9567, 37818, 34824, 15033, 11383, 6049, 532, 27526, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 4011, 1157, 2169, 20112, 4087, 573, 822, 904, 49315, 1012, 236787, 138, 107, 243336, 5213, 236775, 236796, 18213, 4037, 236775, 684, 13741, 99882, 833, 730, 34054, 178303, 1018, 138, 107, 2094, 7049, 6323, 5524, 4065, 496, 9204, 12222, 532, 37818, 45389, 600, 236858, 859, 2514, 4677, 6049, 532, 27526, 236888, 3227, 1061, 1494, 236772, 23325, 34824, 532, 4532, 83426, 236764, 625, 236858, 236751, 7436, 573, 2299, 14134, 14845, 236761, 236743, 244312, 247424, 106, 107, 105, 2364, 107, 6372, 236789, 236751, 496, 1822, 5313, 236888, 2282, 1601, 611, 9688, 822, 904, 49315, 44262, 236764, 1451, 611, 4024, 506, 8582, 44262, 5853, 573, 822, 1012, 236881, 2981, 1595, 564, 740, 2426, 768, 623, 236796, 18213, 4037, 236775, 563, 3016, 528, 993, 653, 1694, 784, 506, 12384, 528, 822, 1873, 44262, 573, 611, 236761, 236743, 244312, 239794, 106, 107, 105, 4368, 107, 2021, 2426, 822, 1873, 904, 49315, 44262, 532, 1460, 768, 623, 236796, 18213, 4037, 236775, 563, 5012, 236764, 564, 236789, 859, 1202, 506, 5213, 53824, 44262, 5853, 84750, 1599, 740, 1586, 672, 528, 506, 10739, 529, 822, 44262, 3104, 568, 236744, 236761, 236759, 1126, 2165, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 67422, 236881, 2234, 236784, 5672, 32503, 236917, 1390, 236929, 2192, 506, 912, 1308, 2165, 2234, 76824, 563, 506, 5853, 769, 28344, 611, 4024, 600, 607, 786, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 2777, 4009, 1868, 573, 1041, 1610, 19520, 657, 506, 3399, 3988, 237028, 3307, 6524, 5249, 13696, 684, 37328, 236789, 236751, 19227, 39339, 236764, 157485, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 16627, 3117, 236761, 669, 6492, 563, 236787, 623, 4754, 6524, 5249, 13696, 684, 506, 19227, 39339, 529, 37328, 236764, 18482, 28239, 7913, 532, 16627, 47900, 1133, 17090, 708, 236789, 236855, 2167, 29573, 236761, 29134, 786, 657, 506, 3399, 3988, 573, 506, 8115, 22774, 672, 8224, 9332, 7323, 8729, 496, 1694, 529, 7798, 118252, 573, 672, 1868, 1699, 506, 756, 661, 236789, 3004, 1722, 236764, 1299, 48699, 506, 1694, 834, 506, 118252, 3196, 528, 4940, 1900, 573, 1041, 10365, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 127511, 1499, 9175, 827, 13659, 177285, 70980, 827, 13659, 90508, 99881, 4630, 236744, 5771, 827, 13659, 236847, 98237, 9175, 827, 13659, 40339, 894, 530, 10877, 827, 13659, 9175, 1683, 59235, 827, 13659, 46640, 16409, 9175, 827, 13659, 177285, 30710, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1179, 67069, 236779, 2234, 1083, 11058, 236865, 177285, 30710, 827, 13659, 90508, 99881, 4630, 236744, 5771, 827, 13659, 236847, 98237, 9175, 827, 13659, 127511, 1499, 9175, 827, 13659, 177285, 70980, 827, 13659, 40339, 894, 530, 10877, 827, 13659, 46640, 16409, 9175, 827, 13659, 9175, 1683, 59235, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 104907, 1694, 529, 118252, 573, 10365, 236764, 5508, 531, 1161, 236787, 108, 236865, 177285, 30710, 138, 107, 236865, 90508, 99881, 4630, 236744, 5771, 138, 107, 236865, 236847, 98237, 9175, 138, 107, 236865, 127511, 1499, 9175, 138, 107, 236865, 177285, 70980, 138, 107, 236865, 40339, 894, 530, 10877, 138, 107, 236865, 46640, 16409, 9175, 138, 107, 236865, 9175, 1683, 59235, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 496, 2777, 4009, 1868, 573, 1041, 1610, 19520, 657, 506, 3399, 3988, 237028, 3307, 6524, 5249, 13696, 684, 37328, 236789, 236751, 19227, 39339, 236764, 157485, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 16627, 3117, 236761, 669, 6492, 563, 236787, 623, 4754, 6524, 5249, 13696, 684, 506, 19227, 39339, 529, 37328, 236764, 18482, 28239, 7913, 532, 16627, 47900, 1133, 17090, 708, 236789, 236855, 2167, 29573, 236761, 29134, 786, 657, 506, 3399, 3988, 573, 506, 8115, 22774, 672, 8224, 9332, 7323, 8729, 496, 1694, 529, 7798, 118252, 573, 672, 1868, 1699, 506, 756, 661, 236789, 3004, 1722, 236764, 1299, 48699, 506, 1694, 834, 506, 118252, 3196, 528, 4940, 1900, 573, 1041, 10365, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 127511, 1499, 9175, 827, 13659, 177285, 70980, 827, 13659, 90508, 99881, 4630, 236744, 5771, 827, 13659, 236847, 98237, 9175, 827, 13659, 40339, 894, 530, 10877, 827, 13659, 9175, 1683, 59235, 827, 13659, 46640, 16409, 9175, 827, 13659, 177285, 30710, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1179, 67069, 236779, 2234, 1083, 11058, 236865, 177285, 30710, 827, 13659, 90508, 99881, 4630, 236744, 5771, 827, 13659, 236847, 98237, 9175, 827, 13659, 127511, 1499, 9175, 827, 13659, 177285, 70980, 827, 13659, 40339, 894, 530, 10877, 827, 13659, 46640, 16409, 9175, 827, 13659, 9175, 1683, 59235, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 104907, 1694, 529, 118252, 573, 10365, 236764, 5508, 531, 1161, 236787, 108, 236865, 177285, 30710, 138, 107, 236865, 90508, 99881, 4630, 236744, 5771, 138, 107, 236865, 236847, 98237, 9175, 138, 107, 236865, 127511, 1499, 9175, 138, 107, 236865, 177285, 70980, 138, 107, 236865, 40339, 894, 530, 10877, 138, 107, 236865, 46640, 16409, 9175, 138, 107, 236865, 9175, 1683, 59235, 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, 2263, 4749, 528, 103043, 8674, 613, 931, 4596, 531, 49115, 653, 2260, 19571, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 13922, 4949, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 6022, 827, 623, 56036, 1083, 623, 45737, 3999, 827, 623, 7777, 1083, 623, 54968, 236772, 498, 49115, 18669, 573, 784, 12889, 4535, 221476, 3714, 1201, 1083, 623, 13743, 15748, 81414, 833, 19871, 15519, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 4556, 76645, 827, 623, 56036, 1083, 623, 45737, 3999, 827, 623, 7777, 1083, 623, 55123, 6485, 236764, 15003, 236764, 532, 49115, 11221, 607, 2263, 48030, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 56343, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 4976, 685, 8674, 613, 931, 7167, 9055, 34556, 1048, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 6022, 827, 623, 7777, 1083, 623, 96579, 2260, 8699, 2299, 19541, 580, 16236, 25769, 532, 1908, 236772, 63123, 10498, 623, 56036, 1083, 623, 3070, 19571, 23179, 3714, 5106, 236779, 547, 1083, 623, 56343, 236812, 236810, 236825, 827, 623, 1201, 1083, 623, 115232, 234965, 13524, 105990, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 100056, 36667, 827, 623, 7777, 1083, 623, 136983, 580, 13726, 49115, 10154, 532, 3732, 8770, 10498, 623, 56036, 1083, 623, 45737, 3999, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 16038, 4749, 528, 103043, 8674, 613, 931, 4596, 531, 49115, 532, 2260, 19571, 236787, 108, 1018, 105411, 3999, 31698, 53121, 107, 236770, 236761, 5213, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 1018, 138, 107, 139, 236772, 6809, 236787, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 11493, 6022, 138, 107, 139, 236772, 17243, 236787, 44300, 236772, 498, 49115, 18669, 573, 784, 12889, 4535, 236761, 138, 108, 236778, 236761, 5213, 13743, 15748, 81414, 833, 19871, 15519, 1018, 138, 107, 139, 236772, 6809, 236787, 5365, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236819, 236787, 236800, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 4556, 76645, 138, 107, 139, 236772, 17243, 236787, 19651, 6485, 236764, 15003, 236764, 532, 49115, 11221, 607, 2263, 48030, 236761, 138, 108, 236800, 236761, 5213, 115232, 234965, 13524, 105990, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 100056, 36667, 138, 107, 139, 236772, 17243, 236787, 39405, 580, 13726, 49115, 10154, 532, 3732, 8770, 236761, 138, 108, 1018, 9020, 9055, 12209, 53121, 138, 107, 236770, 236761, 5213, 4976, 685, 8674, 613, 931, 7167, 9055, 34556, 1048, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236825, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 11493, 6022, 138, 107, 139, 236772, 17243, 236787, 50292, 2260, 8699, 2299, 19541, 580, 16236, 25769, 532, 1908, 236772, 63123, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 1003, 1027, 529, 1239, 4749, 236888, 106, 107, 105, 2364, 107, 30092, 611, 3442, 786, 919, 1003, 506, 103043, 8674, 613, 931, 11493, 19871, 39405, 580, 5365, 236743, 236810, 594, 236881, 564, 236858, 236753, 1133, 531, 1281, 768, 901, 236858, 859, 2890, 25357, 49115, 8403, 237028, 236777, 236858, 236753, 2765, 531, 2056, 6730, 919, 187557, 29979, 672, 3409, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 56343, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 7777, 1083, 623, 2094, 18669, 795, 2890, 28594, 25357, 49115, 8403, 236764, 2440, 9295, 12652, 236764, 29444, 29080, 236764, 532, 35889, 3997, 236761, 10624, 20622, 795, 577, 7006, 580, 6730, 187557, 29979, 236764, 607, 4916, 236772, 498, 54233, 580, 10338, 6250, 236764, 76325, 236764, 532, 10293, 2065, 10154, 10498, 623, 41413, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 643, 236779, 2289, 1083, 623, 236770, 236778, 236787, 236800, 236771, 8711, 827, 623, 111946, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 753, 19694, 833, 23051, 531, 138999, 166858, 827, 623, 236770, 236771, 236787, 236800, 236771, 8151, 753, 189593, 82321, 96294, 12447, 25709, 57939, 827, 623, 236770, 236770, 236787, 236770, 236810, 8151, 753, 44300, 236772, 2791, 2419, 34149, 833, 168495, 52971, 827, 623, 236770, 236778, 236787, 236771, 236771, 8711, 753, 1366, 236880, 236776, 25780, 607, 11930, 19871, 616, 152254, 623, 6109, 1083, 3714, 7720, 1083, 623, 236778, 236771, 236771, 57743, 6718, 236764, 103043, 8674, 613, 931, 11493, 6022, 827, 623, 11607, 236779, 6774, 1083, 623, 45312, 2025, 22742, 236940, 189972, 236761, 2187, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 4889, 573, 506, 5213, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 1018, 580, 5365, 236743, 236810, 594, 236787, 108, 236772, 5213, 3682, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 2866, 66515, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 1271, 236743, 236770, 236778, 236787, 236800, 236771, 8711, 138, 107, 236772, 5213, 6375, 66515, 236743, 236778, 236771, 236771, 57743, 6718, 236764, 103043, 8674, 613, 931, 11493, 6022, 138, 107, 236772, 5213, 15354, 66515, 138, 107, 138, 2094, 18669, 10916, 13526, 5213, 85864, 742, 49115, 8403, 125546, 607, 496, 3188, 20622, 580, 5213, 499, 583, 82321, 30336, 37480, 84750, 66864, 3204, 236787, 138, 107, 138, 236772, 48196, 12652, 532, 29444, 29080, 138, 107, 138, 236772, 81041, 3997, 573, 10293, 26318, 138, 107, 138, 236772, 44300, 236772, 498, 54233, 573, 10338, 6250, 236764, 76325, 236764, 532, 2065, 10154, 138, 108, 236772, 5213, 39656, 70731, 66515, 138, 107, 138, 236772, 5213, 236770, 236771, 236787, 236800, 236771, 8151, 66515, 135460, 6478, 580, 187557, 30336, 8403, 138, 107, 138, 236772, 5213, 236770, 236770, 236787, 236770, 236810, 8151, 66515, 44300, 236772, 498, 76325, 532, 29080, 24714, 138, 107, 138, 236772, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 66515, 1366, 236880, 236776, 607, 7588, 119309, 138, 108, 818, 2460, 6492, 25010, 42298, 187557, 29979, 618, 496, 2307, 3213, 236764, 834, 672, 1374, 8913, 13275, 607, 822, 2142, 528, 6730, 919, 187557, 21215, 672, 3409, 236761, 138, 108, 2542, 4137, 236764, 611, 740, 3662, 506, 19573, 657, 5213, 45312, 2025, 22742, 236940, 189972, 236761, 2187, 84750, 21284, 611, 1133, 1601, 62317, 653, 42788, 4767, 5405, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 506, 187557, 30336, 3213, 237028, 236777, 236858, 859, 8426, 8835, 236888, 28344, 611, 2426, 768, 993, 236858, 236751, 496, 1694, 529, 5417, 564, 1374, 3437, 573, 506, 4916, 236772, 498, 24714, 236764, 1133, 28764, 653, 163606, 1416, 236881, 6542, 236764, 563, 506, 4553, 3421, 611, 3847, 506, 1791, 1595, 531, 6818, 236764, 653, 776, 901, 5278, 5154, 9139, 236881, 564, 236858, 236753, 1133, 531, 1519, 872, 3124, 236761, 106, 107, 105, 4368, 107, 818, 2460, 4889, 3847, 1537, 236858, 236745, 20193, 5417, 531, 3437, 573, 506, 4916, 236772, 498, 24714, 236764, 6271, 776, 901, 37386, 15020, 22195, 568, 6774, 7728, 236761, 5154, 769, 5612, 672, 1938, 5889, 236858, 236745, 15283, 1343, 506, 6436, 236764, 564, 5840, 57416, 506, 18669, 54213, 5467, 657, 5213, 45312, 2025, 22742, 236940, 189972, 236761, 2187, 1018, 531, 9128, 236787, 138, 107, 236770, 236761, 16019, 28764, 236764, 163606, 1416, 236764, 653, 1032, 5417, 659, 3149, 568, 504, 3847, 769, 138, 107, 236778, 236761, 9963, 12373, 15020, 1996, 568, 6774, 653, 5154, 769, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 3618, 531, 1091, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 2263, 4749, 528, 103043, 8674, 613, 931, 4596, 531, 49115, 653, 2260, 19571, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 13922, 4949, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 6022, 827, 623, 56036, 1083, 623, 45737, 3999, 827, 623, 7777, 1083, 623, 54968, 236772, 498, 49115, 18669, 573, 784, 12889, 4535, 221476, 3714, 1201, 1083, 623, 13743, 15748, 81414, 833, 19871, 15519, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 4556, 76645, 827, 623, 56036, 1083, 623, 45737, 3999, 827, 623, 7777, 1083, 623, 55123, 6485, 236764, 15003, 236764, 532, 49115, 11221, 607, 2263, 48030, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 56343, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 4976, 685, 8674, 613, 931, 7167, 9055, 34556, 1048, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 6022, 827, 623, 7777, 1083, 623, 96579, 2260, 8699, 2299, 19541, 580, 16236, 25769, 532, 1908, 236772, 63123, 10498, 623, 56036, 1083, 623, 3070, 19571, 23179, 3714, 5106, 236779, 547, 1083, 623, 56343, 236812, 236810, 236825, 827, 623, 1201, 1083, 623, 115232, 234965, 13524, 105990, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 4976, 685, 8674, 613, 931, 100056, 36667, 827, 623, 7777, 1083, 623, 136983, 580, 13726, 49115, 10154, 532, 3732, 8770, 10498, 623, 56036, 1083, 623, 45737, 3999, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 16038, 4749, 528, 103043, 8674, 613, 931, 4596, 531, 49115, 532, 2260, 19571, 236787, 108, 1018, 105411, 3999, 31698, 53121, 107, 236770, 236761, 5213, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 1018, 138, 107, 139, 236772, 6809, 236787, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 11493, 6022, 138, 107, 139, 236772, 17243, 236787, 44300, 236772, 498, 49115, 18669, 573, 784, 12889, 4535, 236761, 138, 108, 236778, 236761, 5213, 13743, 15748, 81414, 833, 19871, 15519, 1018, 138, 107, 139, 236772, 6809, 236787, 5365, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236819, 236787, 236800, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 4556, 76645, 138, 107, 139, 236772, 17243, 236787, 19651, 6485, 236764, 15003, 236764, 532, 49115, 11221, 607, 2263, 48030, 236761, 138, 108, 236800, 236761, 5213, 115232, 234965, 13524, 105990, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 100056, 36667, 138, 107, 139, 236772, 17243, 236787, 39405, 580, 13726, 49115, 10154, 532, 3732, 8770, 236761, 138, 108, 1018, 9020, 9055, 12209, 53121, 138, 107, 236770, 236761, 5213, 4976, 685, 8674, 613, 931, 7167, 9055, 34556, 1048, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236825, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 21617, 236787, 103043, 8674, 613, 931, 11493, 6022, 138, 107, 139, 236772, 17243, 236787, 50292, 2260, 8699, 2299, 19541, 580, 16236, 25769, 532, 1908, 236772, 63123, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 1003, 1027, 529, 1239, 4749, 236888, 106, 107, 105, 2364, 107, 30092, 611, 3442, 786, 919, 1003, 506, 103043, 8674, 613, 931, 11493, 19871, 39405, 580, 5365, 236743, 236810, 594, 236881, 564, 236858, 236753, 1133, 531, 1281, 768, 901, 236858, 859, 2890, 25357, 49115, 8403, 237028, 236777, 236858, 236753, 2765, 531, 2056, 6730, 919, 187557, 29979, 672, 3409, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 56343, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 7777, 1083, 623, 2094, 18669, 795, 2890, 28594, 25357, 49115, 8403, 236764, 2440, 9295, 12652, 236764, 29444, 29080, 236764, 532, 35889, 3997, 236761, 10624, 20622, 795, 577, 7006, 580, 6730, 187557, 29979, 236764, 607, 4916, 236772, 498, 54233, 580, 10338, 6250, 236764, 76325, 236764, 532, 10293, 2065, 10154, 10498, 623, 41413, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 643, 236779, 2289, 1083, 623, 236770, 236778, 236787, 236800, 236771, 8711, 827, 623, 111946, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 753, 19694, 833, 23051, 531, 138999, 166858, 827, 623, 236770, 236771, 236787, 236800, 236771, 8151, 753, 189593, 82321, 96294, 12447, 25709, 57939, 827, 623, 236770, 236770, 236787, 236770, 236810, 8151, 753, 44300, 236772, 2791, 2419, 34149, 833, 168495, 52971, 827, 623, 236770, 236778, 236787, 236771, 236771, 8711, 753, 1366, 236880, 236776, 25780, 607, 11930, 19871, 616, 152254, 623, 6109, 1083, 3714, 7720, 1083, 623, 236778, 236771, 236771, 57743, 6718, 236764, 103043, 8674, 613, 931, 11493, 6022, 827, 623, 11607, 236779, 6774, 1083, 623, 45312, 2025, 22742, 236940, 189972, 236761, 2187, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 4889, 573, 506, 5213, 4976, 685, 8674, 613, 931, 11493, 19871, 39405, 1018, 580, 5365, 236743, 236810, 594, 236787, 108, 236772, 5213, 3682, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 2866, 66515, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 1271, 236743, 236770, 236778, 236787, 236800, 236771, 8711, 138, 107, 236772, 5213, 6375, 66515, 236743, 236778, 236771, 236771, 57743, 6718, 236764, 103043, 8674, 613, 931, 11493, 6022, 138, 107, 236772, 5213, 15354, 66515, 138, 107, 138, 2094, 18669, 10916, 13526, 5213, 85864, 742, 49115, 8403, 125546, 607, 496, 3188, 20622, 580, 5213, 499, 583, 82321, 30336, 37480, 84750, 66864, 3204, 236787, 138, 107, 138, 236772, 48196, 12652, 532, 29444, 29080, 138, 107, 138, 236772, 81041, 3997, 573, 10293, 26318, 138, 107, 138, 236772, 44300, 236772, 498, 54233, 573, 10338, 6250, 236764, 76325, 236764, 532, 2065, 10154, 138, 108, 236772, 5213, 39656, 70731, 66515, 138, 107, 138, 236772, 5213, 236770, 236771, 236787, 236800, 236771, 8151, 66515, 135460, 6478, 580, 187557, 30336, 8403, 138, 107, 138, 236772, 5213, 236770, 236770, 236787, 236770, 236810, 8151, 66515, 44300, 236772, 498, 76325, 532, 29080, 24714, 138, 107, 138, 236772, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 66515, 1366, 236880, 236776, 607, 7588, 119309, 138, 108, 818, 2460, 6492, 25010, 42298, 187557, 29979, 618, 496, 2307, 3213, 236764, 834, 672, 1374, 8913, 13275, 607, 822, 2142, 528, 6730, 919, 187557, 21215, 672, 3409, 236761, 138, 108, 2542, 4137, 236764, 611, 740, 3662, 506, 19573, 657, 5213, 45312, 2025, 22742, 236940, 189972, 236761, 2187, 84750, 21284, 611, 1133, 1601, 62317, 653, 42788, 4767, 5405, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 506, 187557, 30336, 3213, 237028, 236777, 236858, 859, 8426, 8835, 236888, 28344, 611, 2426, 768, 993, 236858, 236751, 496, 1694, 529, 5417, 564, 1374, 3437, 573, 506, 4916, 236772, 498, 24714, 236764, 1133, 28764, 653, 163606, 1416, 236881, 6542, 236764, 563, 506, 4553, 3421, 611, 3847, 506, 1791, 1595, 531, 6818, 236764, 653, 776, 901, 5278, 5154, 9139, 236881, 564, 236858, 236753, 1133, 531, 1519, 872, 3124, 236761, 106, 107, 105, 4368, 107, 818, 2460, 4889, 3847, 1537, 236858, 236745, 20193, 5417, 531, 3437, 573, 506, 4916, 236772, 498, 24714, 236764, 6271, 776, 901, 37386, 15020, 22195, 568, 6774, 7728, 236761, 5154, 769, 5612, 672, 1938, 5889, 236858, 236745, 15283, 1343, 506, 6436, 236764, 564, 5840, 57416, 506, 18669, 54213, 5467, 657, 5213, 45312, 2025, 22742, 236940, 189972, 236761, 2187, 1018, 531, 9128, 236787, 138, 107, 236770, 236761, 16019, 28764, 236764, 163606, 1416, 236764, 653, 1032, 5417, 659, 3149, 568, 504, 3847, 769, 138, 107, 236778, 236761, 9963, 12373, 15020, 1996, 568, 6774, 653, 5154, 769, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 3618, 531, 1091, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 506, 14584, 236772, 1071, 236772, 234755, 24781, 1024, 506, 3068, 15588, 573, 63613, 32754, 532, 101764, 833, 101764, 236764, 837, 659, 1156, 6225, 31170, 4699, 236761, 564, 4646, 910, 152774, 104026, 659, 236743, 236810, 236771, 236771, 236810, 236832, 236771, 532, 236743, 236810, 236771, 236771, 236810, 236778, 236771, 236764, 840, 564, 236789, 236757, 711, 11716, 2953, 236761, 28344, 611, 33205, 672, 1262, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236763, 561, 236779, 547, 1083, 623, 236810, 236771, 236771, 236810, 236832, 236771, 827, 623, 25385, 236779, 1201, 1083, 623, 151914, 32754, 19159, 827, 623, 635, 236779, 236750, 23004, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236828, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236812, 236761, 236800, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236770, 236761, 236819, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 635, 236779, 28350, 1083, 236743, 236819, 236761, 236832, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 635, 236779, 28350, 1083, 236743, 236828, 236761, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236771, 236761, 236810, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236800, 236761, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236810, 236761, 236812, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236825, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236770, 236761, 236800, 104960, 623, 27617, 1083, 623, 184718, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 34448, 58099, 833, 101764, 11220, 10498, 623, 236763, 561, 236779, 547, 1083, 623, 236810, 236771, 236771, 236810, 236778, 236771, 827, 623, 635, 236779, 236750, 23004, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236810, 236761, 236810, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236828, 236761, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236778, 236761, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236819, 236761, 236828, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236812, 236761, 236800, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236832, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236810, 236761, 236812, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236828, 236761, 236819, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236771, 236761, 236825, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236832, 236761, 236800, 104960, 623, 27617, 1083, 623, 184718, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236770, 236771, 236772, 3704, 593, 236786, 236788, 7232, 3671, 573, 1800, 4699, 236787, 108, 1018, 151914, 32754, 19159, 568, 236799, 1989, 236787, 236743, 236810, 236771, 236771, 236810, 236832, 236771, 62902, 107, 236772, 5213, 65965, 66515, 630, 6628, 699, 236743, 236828, 236761, 236778, 236781, 568, 236778, 236771, 236770, 236819, 236768, 531, 236743, 236770, 236810, 236761, 236812, 236781, 568, 236778, 236771, 236778, 236778, 236768, 107, 236772, 5213, 47619, 34856, 66515, 212139, 699, 236743, 236770, 236778, 236761, 236825, 236781, 568, 236778, 236771, 236778, 236800, 236768, 531, 236743, 236770, 236770, 236761, 236800, 236781, 568, 236778, 236771, 236778, 236812, 236768, 107, 236772, 5213, 3503, 81396, 66515, 8754, 524, 43866, 607, 496, 2708, 1913, 236743, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 840, 202406, 528, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236778, 108, 1018, 34448, 58099, 833, 101764, 11220, 236761, 568, 236799, 1989, 236787, 236743, 236810, 236771, 236771, 236810, 236778, 236771, 62902, 107, 236772, 5213, 65965, 66515, 630, 6628, 699, 236743, 236770, 236778, 236761, 236832, 236781, 568, 236778, 236771, 236778, 236771, 236768, 531, 236743, 236778, 236828, 236761, 236819, 236781, 568, 236778, 236771, 236778, 236778, 236768, 107, 236772, 5213, 47619, 34856, 66515, 61076, 1361, 699, 236743, 236778, 236771, 236761, 236825, 236781, 568, 236778, 236771, 236778, 236800, 236768, 531, 236743, 236770, 236832, 236761, 236800, 236781, 568, 236778, 236771, 236778, 236812, 236768, 107, 236772, 5213, 3503, 81396, 66515, 6400, 34984, 3715, 106240, 607, 3629, 38679, 528, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236778, 568, 236778, 236810, 236761, 236812, 236781, 236772, 236778, 236828, 236761, 236819, 236781, 236768, 108, 22186, 4699, 1407, 143131, 9935, 32769, 607, 31170, 3956, 16182, 236764, 607, 101764, 12376, 657, 13671, 106240, 5483, 531, 63613, 32754, 41063, 236761, 669, 1262, 12205, 1800, 4699, 735, 3472, 45261, 593, 236786, 236788, 24781, 528, 506, 1346, 4803, 16347, 1518, 568, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 769, 108, 38786, 611, 1133, 786, 531, 9279, 4398, 593, 236786, 236788, 24781, 236764, 3877, 6224, 236764, 653, 10769, 1239, 9732, 2342, 3956, 80293, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 506, 14584, 236772, 1071, 236772, 234755, 24781, 1024, 506, 3068, 15588, 573, 63613, 32754, 532, 101764, 833, 101764, 236764, 837, 659, 1156, 6225, 31170, 4699, 236761, 564, 4646, 910, 152774, 104026, 659, 236743, 236810, 236771, 236771, 236810, 236832, 236771, 532, 236743, 236810, 236771, 236771, 236810, 236778, 236771, 236764, 840, 564, 236789, 236757, 711, 11716, 2953, 236761, 28344, 611, 33205, 672, 1262, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236763, 561, 236779, 547, 1083, 623, 236810, 236771, 236771, 236810, 236832, 236771, 827, 623, 25385, 236779, 1201, 1083, 623, 151914, 32754, 19159, 827, 623, 635, 236779, 236750, 23004, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236828, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236812, 236761, 236800, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236770, 236761, 236819, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 635, 236779, 28350, 1083, 236743, 236819, 236761, 236832, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 635, 236779, 28350, 1083, 236743, 236828, 236761, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236771, 236761, 236810, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236800, 236761, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236810, 236761, 236812, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236825, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236770, 236761, 236800, 104960, 623, 27617, 1083, 623, 184718, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 34448, 58099, 833, 101764, 11220, 10498, 623, 236763, 561, 236779, 547, 1083, 623, 236810, 236771, 236771, 236810, 236778, 236771, 827, 623, 635, 236779, 236750, 23004, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236810, 236761, 236810, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236828, 236761, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236778, 236761, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236819, 236761, 236828, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236812, 236761, 236800, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236778, 236761, 236832, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236810, 236761, 236812, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236828, 236761, 236819, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 635, 236779, 28350, 1083, 236743, 236778, 236771, 236761, 236825, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 635, 236779, 28350, 1083, 236743, 236770, 236832, 236761, 236800, 104960, 623, 27617, 1083, 623, 184718, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236770, 236771, 236772, 3704, 593, 236786, 236788, 7232, 3671, 573, 1800, 4699, 236787, 108, 1018, 151914, 32754, 19159, 568, 236799, 1989, 236787, 236743, 236810, 236771, 236771, 236810, 236832, 236771, 62902, 107, 236772, 5213, 65965, 66515, 630, 6628, 699, 236743, 236828, 236761, 236778, 236781, 568, 236778, 236771, 236770, 236819, 236768, 531, 236743, 236770, 236810, 236761, 236812, 236781, 568, 236778, 236771, 236778, 236778, 236768, 107, 236772, 5213, 47619, 34856, 66515, 212139, 699, 236743, 236770, 236778, 236761, 236825, 236781, 568, 236778, 236771, 236778, 236800, 236768, 531, 236743, 236770, 236770, 236761, 236800, 236781, 568, 236778, 236771, 236778, 236812, 236768, 107, 236772, 5213, 3503, 81396, 66515, 8754, 524, 43866, 607, 496, 2708, 1913, 236743, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236771, 840, 202406, 528, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236778, 108, 1018, 34448, 58099, 833, 101764, 11220, 236761, 568, 236799, 1989, 236787, 236743, 236810, 236771, 236771, 236810, 236778, 236771, 62902, 107, 236772, 5213, 65965, 66515, 630, 6628, 699, 236743, 236770, 236778, 236761, 236832, 236781, 568, 236778, 236771, 236778, 236771, 236768, 531, 236743, 236778, 236828, 236761, 236819, 236781, 568, 236778, 236771, 236778, 236778, 236768, 107, 236772, 5213, 47619, 34856, 66515, 61076, 1361, 699, 236743, 236778, 236771, 236761, 236825, 236781, 568, 236778, 236771, 236778, 236800, 236768, 531, 236743, 236770, 236832, 236761, 236800, 236781, 568, 236778, 236771, 236778, 236812, 236768, 107, 236772, 5213, 3503, 81396, 66515, 6400, 34984, 3715, 106240, 607, 3629, 38679, 528, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236778, 568, 236778, 236810, 236761, 236812, 236781, 236772, 236778, 236828, 236761, 236819, 236781, 236768, 108, 22186, 4699, 1407, 143131, 9935, 32769, 607, 31170, 3956, 16182, 236764, 607, 101764, 12376, 657, 13671, 106240, 5483, 531, 63613, 32754, 41063, 236761, 669, 1262, 12205, 1800, 4699, 735, 3472, 45261, 593, 236786, 236788, 24781, 528, 506, 1346, 4803, 16347, 1518, 568, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 769, 108, 38786, 611, 1133, 786, 531, 9279, 4398, 593, 236786, 236788, 24781, 236764, 3877, 6224, 236764, 653, 10769, 1239, 9732, 2342, 3956, 80293, 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, 506, 15083, 2978, 7913, 573, 1041, 4086, 532, 13932, 236764, 532, 564, 735, 496, 3530, 23791, 528, 3666, 699, 1041, 168731, 64290, 9935, 236761, 669, 46174, 3393, 563, 568, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 769, 5315, 236764, 7352, 600, 531, 52999, 6518, 573, 1041, 1702, 236761, 4298, 236764, 1386, 496, 5433, 529, 506, 52999, 3393, 573, 1041, 9228, 16406, 236789, 236751, 5577, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17102, 1083, 13659, 236832, 236828, 236799, 236812, 236825, 236812, 827, 623, 118983, 1083, 623, 118983, 236769, 236819, 236810, 236764, 236743, 236812, 236771, 10014, 236743, 236810, 236810, 11376, 827, 623, 236755, 3307, 236767, 1083, 623, 236755, 3307, 236767, 236769, 236800, 236800, 10014, 236743, 236771, 10014, 236743, 236812, 236812, 10014, 236743, 236778, 236819, 11376, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 29449, 1083, 623, 54767, 18120, 8040, 26623, 827, 623, 14210, 1083, 623, 41883, 3393, 573, 168731, 64290, 236772, 52728, 23791, 236787, 997, 236832, 236828, 236799, 236812, 236825, 236812, 568, 107642, 699, 46174, 236787, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 16291, 236783, 106, 107, 105, 4368, 107, 818, 46174, 2258, 568, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 236768, 47874, 531, 5213, 41883, 236787, 997, 236832, 236828, 236799, 236812, 236825, 236812, 84750, 236743, 108, 236776, 5433, 815, 1010, 4464, 573, 822, 9228, 16406, 607, 506, 5577, 236787, 138, 107, 1018, 236775, 54767, 18120, 8040, 26623, 236787, 52999, 3393, 573, 168731, 64290, 236772, 52728, 23791, 236787, 997, 236832, 236828, 236799, 236812, 236825, 236812, 568, 107642, 699, 46174, 236787, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 16291, 84750, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 245838, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 506, 15083, 2978, 7913, 573, 1041, 4086, 532, 13932, 236764, 532, 564, 735, 496, 3530, 23791, 528, 3666, 699, 1041, 168731, 64290, 9935, 236761, 669, 46174, 3393, 563, 568, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 769, 5315, 236764, 7352, 600, 531, 52999, 6518, 573, 1041, 1702, 236761, 4298, 236764, 1386, 496, 5433, 529, 506, 52999, 3393, 573, 1041, 9228, 16406, 236789, 236751, 5577, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17102, 1083, 13659, 236832, 236828, 236799, 236812, 236825, 236812, 827, 623, 118983, 1083, 623, 118983, 236769, 236819, 236810, 236764, 236743, 236812, 236771, 10014, 236743, 236810, 236810, 11376, 827, 623, 236755, 3307, 236767, 1083, 623, 236755, 3307, 236767, 236769, 236800, 236800, 10014, 236743, 236771, 10014, 236743, 236812, 236812, 10014, 236743, 236778, 236819, 11376, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 29449, 1083, 623, 54767, 18120, 8040, 26623, 827, 623, 14210, 1083, 623, 41883, 3393, 573, 168731, 64290, 236772, 52728, 23791, 236787, 997, 236832, 236828, 236799, 236812, 236825, 236812, 568, 107642, 699, 46174, 236787, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 16291, 236783, 106, 107, 105, 4368, 107, 818, 46174, 2258, 568, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 236768, 47874, 531, 5213, 41883, 236787, 997, 236832, 236828, 236799, 236812, 236825, 236812, 84750, 236743, 108, 236776, 5433, 815, 1010, 4464, 573, 822, 9228, 16406, 607, 506, 5577, 236787, 138, 107, 1018, 236775, 54767, 18120, 8040, 26623, 236787, 52999, 3393, 573, 168731, 64290, 236772, 52728, 23791, 236787, 997, 236832, 236828, 236799, 236812, 236825, 236812, 568, 107642, 699, 46174, 236787, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236828, 236771, 236764, 236743, 236770, 236771, 236771, 16291, 84750, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 245838, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 10595, 573, 506, 6524, 3719, 657, 1255, 6703, 25239, 236761, 28344, 611, 12270, 4803, 10308, 699, 506, 191647, 18245, 14822, 9352, 1699, 506, 3530, 236779, 119789, 236779, 24948, 5904, 236881, 669, 16985, 5853, 1374, 577, 623, 28762, 179941, 236779, 14865, 236779, 25612, 3056, 3792, 786, 1281, 1144, 611, 1586, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 9692, 236779, 547, 1083, 623, 103165, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236772, 236771, 236770, 827, 623, 3250, 1083, 623, 1489, 6703, 25239, 236789, 236751, 756, 35734, 88691, 236789, 1705, 1472, 607, 98025, 223820, 827, 623, 6386, 1083, 623, 122452, 159684, 827, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 150082, 1083, 623, 818, 6524, 3719, 657, 1255, 6703, 25239, 236764, 756, 35734, 88691, 6945, 28453, 496, 81865, 22064, 529, 18155, 532, 24815, 236764, 607, 86736, 19575, 699, 506, 2080, 26519, 1390, 23179, 3714, 9692, 236779, 547, 1083, 623, 103165, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236772, 236771, 236819, 827, 623, 3250, 1083, 623, 30852, 236787, 756, 35734, 88691, 236789, 657, 1255, 6703, 621, 236756, 236778, 236771, 236770, 236800, 562, 111979, 529, 12263, 68353, 827, 623, 6386, 1083, 623, 23549, 15416, 827, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 150082, 1083, 623, 1489, 6703, 25239, 236789, 236751, 861, 1441, 756, 35734, 88691, 236789, 66503, 506, 6332, 529, 10969, 11421, 236764, 607, 496, 8948, 600, 119636, 19297, 607, 191647, 28675, 24002, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 157904, 1083, 623, 236773, 3212, 179941, 18245, 14822, 9352, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 4803, 10595, 573, 1255, 6703, 25239, 236789, 236751, 6524, 3719, 699, 506, 191647, 18245, 14822, 9352, 236787, 108, 236770, 236761, 5213, 236775, 1489, 6703, 25239, 236789, 236751, 756, 35734, 88691, 236789, 1705, 1472, 607, 98025, 223820, 236775, 1018, 138, 107, 139, 236829, 2292, 30181, 159684, 568, 27403, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 126115, 506, 1441, 236789, 236751, 623, 13132, 59100, 22064, 529, 18155, 532, 24815, 236775, 532, 104846, 506, 2080, 26519, 236789, 236751, 86736, 19575, 236761, 108, 236778, 236761, 5213, 236775, 30852, 236787, 756, 35734, 88691, 236789, 657, 1255, 6703, 1271, 562, 111979, 529, 12263, 68353, 236775, 1018, 138, 107, 139, 236829, 2292, 6822, 15416, 568, 27403, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 5493, 9042, 5411, 506, 3719, 618, 496, 32545, 573, 10969, 11421, 236764, 607, 496, 8948, 600, 623, 233709, 1090, 19297, 607, 191647, 28675, 1781, 108, 22186, 10595, 3196, 95900, 4414, 236764, 19541, 580, 3188, 19575, 532, 2263, 25075, 13728, 236761, 21284, 611, 1133, 786, 531, 4024, 124196, 653, 18840, 3530, 10217, 529, 1239, 10595, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2121, 496, 27078, 3671, 580, 1239, 10595, 1699, 506, 2121, 236779, 126775, 236779, 28263, 5904, 236881, 564, 236789, 236753, 1133, 531, 1460, 506, 13690, 15737, 71378, 236764, 4285, 8859, 42298, 529, 623, 6047, 10592, 236775, 532, 623, 93855, 11421, 236775, 2338, 1724, 114542, 607, 1041, 2142, 528, 3399, 236772, 27612, 46332, 236761, 3792, 236789, 236751, 3137, 19276, 1131, 506, 13690, 1208, 4002, 236751, 4977, 506, 33392, 236789, 4171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 623, 30558, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 2478, 236779, 86708, 1083, 78493, 14818, 1083, 623, 37939, 236772, 27612, 46332, 827, 623, 126775, 1083, 623, 30558, 827, 623, 658, 878, 1083, 11058, 93855, 11421, 827, 623, 236773, 3212, 179941, 28675, 152254, 3714, 14818, 1083, 623, 661, 3316, 3325, 827, 623, 126775, 1083, 623, 30558, 827, 623, 658, 878, 1083, 11058, 2244, 725, 19575, 827, 623, 13132, 59100, 22064, 529, 18155, 532, 24815, 99471, 1604, 623, 78226, 236779, 66387, 1083, 623, 818, 1816, 106673, 3188, 4414, 27078, 1003, 506, 3719, 236789, 236751, 3399, 3213, 532, 25075, 14860, 236764, 607, 2931, 20622, 580, 506, 1550, 529, 10969, 10592, 1781, 236783, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 506, 10595, 21577, 496, 5213, 22468, 4414, 13690, 15737, 1018, 568, 236819, 236778, 236908, 10805, 779, 607, 2931, 25828, 528, 1156, 4106, 32769, 607, 822, 2142, 528, 3399, 236772, 27612, 981, 236787, 108, 236770, 236761, 5213, 46640, 27618, 1018, 138, 107, 139, 236772, 137944, 1133, 165996, 93855, 11421, 147698, 532, 165996, 236773, 3212, 179941, 28675, 147698, 659, 25010, 19240, 531, 5213, 30558, 27078, 125546, 4970, 618, 496, 3738, 529, 6332, 532, 58542, 236761, 138, 107, 139, 236772, 669, 3671, 8687, 506, 3719, 623, 233709, 1090, 19297, 236775, 607, 2263, 27458, 236764, 22169, 13690, 6828, 528, 9333, 10969, 10592, 24724, 236761, 108, 236778, 236761, 5213, 9175, 3316, 52922, 1018, 138, 107, 139, 236772, 179162, 1133, 165996, 2244, 725, 19575, 147698, 532, 165996, 13132, 59100, 22064, 529, 18155, 532, 24815, 147698, 58051, 34194, 573, 506, 3719, 236858, 236751, 3325, 236764, 61842, 2263, 10592, 618, 1800, 23482, 532, 21964, 236761, 138, 108, 818, 33392, 236858, 4171, 57761, 618, 5213, 236819, 236778, 236908, 4414, 125546, 840, 82866, 236764, 901, 37837, 21077, 528, 2263, 119496, 532, 506, 13690, 58137, 529, 3399, 236772, 134591, 54491, 236761, 21284, 611, 1133, 531, 11327, 3530, 3658, 12871, 653, 143636, 901, 1456, 531, 9779, 1239, 22888, 236881, 106, 107, 105, 2364, 107, 30092, 611, 8430, 506, 4453, 124196, 1298, 623, 6047, 10592, 236775, 532, 623, 93855, 11421, 236775, 659, 6950, 528, 506, 3303, 10595, 236881, 564, 236789, 236753, 1133, 531, 2748, 506, 33392, 236789, 211983, 532, 143636, 2101, 1239, 22888, 531, 2480, 3050, 1217, 901, 5528, 3399, 236772, 27612, 119496, 236761, 6890, 506, 3530, 236779, 119789, 236779, 24948, 5904, 1570, 768, 4354, 531, 33205, 506, 2587, 1816, 124230, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 211703, 12263, 68353, 657, 506, 16175, 14822, 15467, 827, 623, 3955, 1083, 623, 2094, 1051, 236789, 236751, 191647, 14822, 15467, 88808, 614, 23205, 3499, 529, 2263, 10592, 236764, 607, 83179, 236764, 30680, 236764, 532, 48663, 10314, 18014, 699, 506, 34891, 11849, 236789, 236751, 8326, 9226, 105362, 236761, 123895, 43605, 506, 756, 236766, 98237, 37760, 529, 3399, 236772, 27612, 24597, 236789, 580, 3034, 10498, 623, 157904, 236779, 547, 1083, 623, 28762, 179941, 236779, 14865, 236779, 25612, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 98472, 58887, 4855, 1172, 688, 13806, 121558, 827, 623, 3955, 1083, 623, 236776, 78683, 19717, 657, 506, 191647, 25628, 79535, 17149, 10969, 11421, 22224, 506, 18998, 529, 35560, 1699, 101922, 8459, 5417, 236761, 9352, 616, 8601, 506, 756, 514, 26890, 11918, 529, 11321, 17538, 1131, 27725, 25075, 11461, 236789, 600, 7495, 506, 2433, 236789, 236751, 36757, 9834, 10498, 623, 157904, 236779, 547, 1083, 623, 28762, 179941, 236779, 14865, 236779, 25612, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 4453, 124196, 52236, 699, 506, 6524, 10308, 49326, 623, 6047, 10592, 236775, 532, 623, 93855, 11421, 1083, 108, 236770, 236761, 5213, 236775, 211703, 12263, 68353, 657, 506, 16175, 14822, 15467, 236775, 1018, 138, 107, 139, 236772, 5213, 231789, 66515, 165996, 223023, 43605, 506, 756, 236766, 98237, 37760, 529, 3399, 236772, 27612, 24597, 236789, 580, 3034, 1781, 236829, 138, 107, 139, 236772, 5213, 3637, 66515, 1174, 50232, 18838, 2263, 10592, 618, 496, 31877, 236764, 12815, 4912, 236764, 79720, 21606, 532, 82158, 2778, 236761, 108, 236778, 236761, 5213, 236775, 98472, 58887, 4855, 1172, 688, 13806, 121558, 236775, 1018, 138, 107, 139, 236772, 5213, 231789, 66515, 165996, 30852, 616, 8601, 506, 756, 514, 26890, 11918, 529, 11321, 17538, 1131, 27725, 25075, 11461, 236789, 24002, 236829, 138, 107, 139, 236772, 5213, 3637, 66515, 669, 20412, 623, 514, 26890, 11918, 236775, 184290, 10969, 11421, 531, 3541, 236772, 14789, 800, 44100, 236764, 13805, 8459, 72584, 1131, 21475, 1610, 600, 22136, 3399, 9834, 236761, 108, 10354, 9533, 73022, 236787, 107, 236772, 5213, 236775, 13149, 10592, 236775, 1018, 563, 5143, 607, 5213, 207395, 1280, 223750, 1018, 6791, 227405, 1373, 532, 82158, 9226, 1550, 236761, 138, 107, 236772, 5213, 236775, 98472, 11421, 236775, 1018, 659, 54056, 618, 5213, 131016, 3287, 1018, 1015, 81661, 532, 34690, 24069, 910, 3453, 6791, 514, 26890, 3959, 22169, 35691, 532, 101250, 236761, 138, 108, 38786, 611, 1133, 786, 531, 10769, 1239, 143636, 531, 506, 6517, 1255, 6703, 25239, 10595, 653, 92541, 1131, 3530, 3658, 12871, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 10595, 573, 506, 6524, 3719, 657, 1255, 6703, 25239, 236761, 28344, 611, 12270, 4803, 10308, 699, 506, 191647, 18245, 14822, 9352, 1699, 506, 3530, 236779, 119789, 236779, 24948, 5904, 236881, 669, 16985, 5853, 1374, 577, 623, 28762, 179941, 236779, 14865, 236779, 25612, 3056, 3792, 786, 1281, 1144, 611, 1586, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 9692, 236779, 547, 1083, 623, 103165, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236772, 236771, 236770, 827, 623, 3250, 1083, 623, 1489, 6703, 25239, 236789, 236751, 756, 35734, 88691, 236789, 1705, 1472, 607, 98025, 223820, 827, 623, 6386, 1083, 623, 122452, 159684, 827, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 150082, 1083, 623, 818, 6524, 3719, 657, 1255, 6703, 25239, 236764, 756, 35734, 88691, 6945, 28453, 496, 81865, 22064, 529, 18155, 532, 24815, 236764, 607, 86736, 19575, 699, 506, 2080, 26519, 1390, 23179, 3714, 9692, 236779, 547, 1083, 623, 103165, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236772, 236771, 236819, 827, 623, 3250, 1083, 623, 30852, 236787, 756, 35734, 88691, 236789, 657, 1255, 6703, 621, 236756, 236778, 236771, 236770, 236800, 562, 111979, 529, 12263, 68353, 827, 623, 6386, 1083, 623, 23549, 15416, 827, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 150082, 1083, 623, 1489, 6703, 25239, 236789, 236751, 861, 1441, 756, 35734, 88691, 236789, 66503, 506, 6332, 529, 10969, 11421, 236764, 607, 496, 8948, 600, 119636, 19297, 607, 191647, 28675, 24002, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 157904, 1083, 623, 236773, 3212, 179941, 18245, 14822, 9352, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 4803, 10595, 573, 1255, 6703, 25239, 236789, 236751, 6524, 3719, 699, 506, 191647, 18245, 14822, 9352, 236787, 108, 236770, 236761, 5213, 236775, 1489, 6703, 25239, 236789, 236751, 756, 35734, 88691, 236789, 1705, 1472, 607, 98025, 223820, 236775, 1018, 138, 107, 139, 236829, 2292, 30181, 159684, 568, 27403, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 126115, 506, 1441, 236789, 236751, 623, 13132, 59100, 22064, 529, 18155, 532, 24815, 236775, 532, 104846, 506, 2080, 26519, 236789, 236751, 86736, 19575, 236761, 108, 236778, 236761, 5213, 236775, 30852, 236787, 756, 35734, 88691, 236789, 657, 1255, 6703, 1271, 562, 111979, 529, 12263, 68353, 236775, 1018, 138, 107, 139, 236829, 2292, 6822, 15416, 568, 27403, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 5493, 9042, 5411, 506, 3719, 618, 496, 32545, 573, 10969, 11421, 236764, 607, 496, 8948, 600, 623, 233709, 1090, 19297, 607, 191647, 28675, 1781, 108, 22186, 10595, 3196, 95900, 4414, 236764, 19541, 580, 3188, 19575, 532, 2263, 25075, 13728, 236761, 21284, 611, 1133, 786, 531, 4024, 124196, 653, 18840, 3530, 10217, 529, 1239, 10595, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2121, 496, 27078, 3671, 580, 1239, 10595, 1699, 506, 2121, 236779, 126775, 236779, 28263, 5904, 236881, 564, 236789, 236753, 1133, 531, 1460, 506, 13690, 15737, 71378, 236764, 4285, 8859, 42298, 529, 623, 6047, 10592, 236775, 532, 623, 93855, 11421, 236775, 2338, 1724, 114542, 607, 1041, 2142, 528, 3399, 236772, 27612, 46332, 236761, 3792, 236789, 236751, 3137, 19276, 1131, 506, 13690, 1208, 4002, 236751, 4977, 506, 33392, 236789, 4171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 623, 30558, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 2478, 236779, 86708, 1083, 78493, 14818, 1083, 623, 37939, 236772, 27612, 46332, 827, 623, 126775, 1083, 623, 30558, 827, 623, 658, 878, 1083, 11058, 93855, 11421, 827, 623, 236773, 3212, 179941, 28675, 152254, 3714, 14818, 1083, 623, 661, 3316, 3325, 827, 623, 126775, 1083, 623, 30558, 827, 623, 658, 878, 1083, 11058, 2244, 725, 19575, 827, 623, 13132, 59100, 22064, 529, 18155, 532, 24815, 99471, 1604, 623, 78226, 236779, 66387, 1083, 623, 818, 1816, 106673, 3188, 4414, 27078, 1003, 506, 3719, 236789, 236751, 3399, 3213, 532, 25075, 14860, 236764, 607, 2931, 20622, 580, 506, 1550, 529, 10969, 10592, 1781, 236783, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 506, 10595, 21577, 496, 5213, 22468, 4414, 13690, 15737, 1018, 568, 236819, 236778, 236908, 10805, 779, 607, 2931, 25828, 528, 1156, 4106, 32769, 607, 822, 2142, 528, 3399, 236772, 27612, 981, 236787, 108, 236770, 236761, 5213, 46640, 27618, 1018, 138, 107, 139, 236772, 137944, 1133, 165996, 93855, 11421, 147698, 532, 165996, 236773, 3212, 179941, 28675, 147698, 659, 25010, 19240, 531, 5213, 30558, 27078, 125546, 4970, 618, 496, 3738, 529, 6332, 532, 58542, 236761, 138, 107, 139, 236772, 669, 3671, 8687, 506, 3719, 623, 233709, 1090, 19297, 236775, 607, 2263, 27458, 236764, 22169, 13690, 6828, 528, 9333, 10969, 10592, 24724, 236761, 108, 236778, 236761, 5213, 9175, 3316, 52922, 1018, 138, 107, 139, 236772, 179162, 1133, 165996, 2244, 725, 19575, 147698, 532, 165996, 13132, 59100, 22064, 529, 18155, 532, 24815, 147698, 58051, 34194, 573, 506, 3719, 236858, 236751, 3325, 236764, 61842, 2263, 10592, 618, 1800, 23482, 532, 21964, 236761, 138, 108, 818, 33392, 236858, 4171, 57761, 618, 5213, 236819, 236778, 236908, 4414, 125546, 840, 82866, 236764, 901, 37837, 21077, 528, 2263, 119496, 532, 506, 13690, 58137, 529, 3399, 236772, 134591, 54491, 236761, 21284, 611, 1133, 531, 11327, 3530, 3658, 12871, 653, 143636, 901, 1456, 531, 9779, 1239, 22888, 236881, 106, 107, 105, 2364, 107, 30092, 611, 8430, 506, 4453, 124196, 1298, 623, 6047, 10592, 236775, 532, 623, 93855, 11421, 236775, 659, 6950, 528, 506, 3303, 10595, 236881, 564, 236789, 236753, 1133, 531, 2748, 506, 33392, 236789, 211983, 532, 143636, 2101, 1239, 22888, 531, 2480, 3050, 1217, 901, 5528, 3399, 236772, 27612, 119496, 236761, 6890, 506, 3530, 236779, 119789, 236779, 24948, 5904, 1570, 768, 4354, 531, 33205, 506, 2587, 1816, 124230, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 211703, 12263, 68353, 657, 506, 16175, 14822, 15467, 827, 623, 3955, 1083, 623, 2094, 1051, 236789, 236751, 191647, 14822, 15467, 88808, 614, 23205, 3499, 529, 2263, 10592, 236764, 607, 83179, 236764, 30680, 236764, 532, 48663, 10314, 18014, 699, 506, 34891, 11849, 236789, 236751, 8326, 9226, 105362, 236761, 123895, 43605, 506, 756, 236766, 98237, 37760, 529, 3399, 236772, 27612, 24597, 236789, 580, 3034, 10498, 623, 157904, 236779, 547, 1083, 623, 28762, 179941, 236779, 14865, 236779, 25612, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 98472, 58887, 4855, 1172, 688, 13806, 121558, 827, 623, 3955, 1083, 623, 236776, 78683, 19717, 657, 506, 191647, 25628, 79535, 17149, 10969, 11421, 22224, 506, 18998, 529, 35560, 1699, 101922, 8459, 5417, 236761, 9352, 616, 8601, 506, 756, 514, 26890, 11918, 529, 11321, 17538, 1131, 27725, 25075, 11461, 236789, 600, 7495, 506, 2433, 236789, 236751, 36757, 9834, 10498, 623, 157904, 236779, 547, 1083, 623, 28762, 179941, 236779, 14865, 236779, 25612, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 4453, 124196, 52236, 699, 506, 6524, 10308, 49326, 623, 6047, 10592, 236775, 532, 623, 93855, 11421, 1083, 108, 236770, 236761, 5213, 236775, 211703, 12263, 68353, 657, 506, 16175, 14822, 15467, 236775, 1018, 138, 107, 139, 236772, 5213, 231789, 66515, 165996, 223023, 43605, 506, 756, 236766, 98237, 37760, 529, 3399, 236772, 27612, 24597, 236789, 580, 3034, 1781, 236829, 138, 107, 139, 236772, 5213, 3637, 66515, 1174, 50232, 18838, 2263, 10592, 618, 496, 31877, 236764, 12815, 4912, 236764, 79720, 21606, 532, 82158, 2778, 236761, 108, 236778, 236761, 5213, 236775, 98472, 58887, 4855, 1172, 688, 13806, 121558, 236775, 1018, 138, 107, 139, 236772, 5213, 231789, 66515, 165996, 30852, 616, 8601, 506, 756, 514, 26890, 11918, 529, 11321, 17538, 1131, 27725, 25075, 11461, 236789, 24002, 236829, 138, 107, 139, 236772, 5213, 3637, 66515, 669, 20412, 623, 514, 26890, 11918, 236775, 184290, 10969, 11421, 531, 3541, 236772, 14789, 800, 44100, 236764, 13805, 8459, 72584, 1131, 21475, 1610, 600, 22136, 3399, 9834, 236761, 108, 10354, 9533, 73022, 236787, 107, 236772, 5213, 236775, 13149, 10592, 236775, 1018, 563, 5143, 607, 5213, 207395, 1280, 223750, 1018, 6791, 227405, 1373, 532, 82158, 9226, 1550, 236761, 138, 107, 236772, 5213, 236775, 98472, 11421, 236775, 1018, 659, 54056, 618, 5213, 131016, 3287, 1018, 1015, 81661, 532, 34690, 24069, 910, 3453, 6791, 514, 26890, 3959, 22169, 35691, 532, 101250, 236761, 138, 108, 38786, 611, 1133, 786, 531, 10769, 1239, 143636, 531, 506, 6517, 1255, 6703, 25239, 10595, 653, 92541, 1131, 3530, 3658, 12871, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 1451, 611, 2426, 506, 2519, 30916, 699, 73740, 531, 14850, 573, 16922, 657, 236743, 236828, 8151, 607, 1156, 12795, 236881, 6542, 236764, 564, 1202, 496, 2260, 1003, 73740, 236789, 236751, 13763, 4083, 236761, 11017, 236888, 106, 107, 105, 4368, 107, 2021, 6361, 607, 822, 2864, 236764, 564, 1202, 496, 3103, 919, 1938, 236761, 1701, 506, 2519, 10368, 699, 73740, 531, 14850, 236764, 1451, 611, 2847, 506, 3530, 6410, 62606, 568, 236744, 236761, 236759, 1126, 756, 60875, 236789, 573, 73740, 532, 756, 236799, 3354, 236789, 573, 14850, 20625, 6542, 236764, 573, 506, 2260, 1003, 73740, 236789, 236751, 13763, 4083, 236764, 1451, 611, 20193, 506, 3822, 236764, 3260, 236764, 532, 18355, 611, 236789, 500, 3182, 573, 236881, 1174, 795, 1601, 786, 3927, 23704, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 1451, 611, 2426, 506, 2519, 30916, 699, 73740, 531, 14850, 573, 16922, 657, 236743, 236828, 8151, 607, 1156, 12795, 236881, 6542, 236764, 564, 1202, 496, 2260, 1003, 73740, 236789, 236751, 13763, 4083, 236761, 11017, 236888, 106, 107, 105, 4368, 107, 2021, 6361, 607, 822, 2864, 236764, 564, 1202, 496, 3103, 919, 1938, 236761, 1701, 506, 2519, 10368, 699, 73740, 531, 14850, 236764, 1451, 611, 2847, 506, 3530, 6410, 62606, 568, 236744, 236761, 236759, 1126, 756, 60875, 236789, 573, 73740, 532, 756, 236799, 3354, 236789, 573, 14850, 20625, 6542, 236764, 573, 506, 2260, 1003, 73740, 236789, 236751, 13763, 4083, 236764, 1451, 611, 20193, 506, 3822, 236764, 3260, 236764, 532, 18355, 611, 236789, 500, 3182, 573, 236881, 1174, 795, 1601, 786, 3927, 23704, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 6995, 496, 1944, 12441, 4598, 573, 506, 57458, 4085, 108684, 157202, 2290, 672, 9735, 531, 17159, 506, 2434, 236789, 236751, 2033, 53342, 236761, 564, 1461, 531, 1386, 1041, 14187, 6050, 607, 14403, 532, 91852, 677, 2538, 236764, 840, 564, 1202, 531, 1281, 506, 4453, 2290, 3433, 1171, 531, 7805, 573, 13153, 236761, 28344, 611, 2426, 506, 2148, 2033, 2290, 4889, 573, 506, 57458, 4085, 108684, 157202, 236881, 4298, 236764, 564, 236789, 236753, 1133, 531, 1586, 496, 26135, 32095, 4762, 528, 169031, 600, 236789, 236751, 1932, 580, 600, 3433, 531, 974, 506, 187148, 35226, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 157638, 1083, 623, 179945, 4244, 1190, 827, 623, 6109, 1083, 623, 51435, 58037, 4556, 827, 623, 4818, 1083, 623, 87877, 827, 623, 4874, 236779, 8147, 236779, 5567, 1083, 623, 46325, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236825, 236787, 236800, 236771, 8711, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 4967, 17226, 8279, 224607, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 827, 623, 5265, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 4818, 1083, 623, 5265, 827, 623, 5275, 1083, 33865, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 18146, 236779, 23184, 1083, 623, 7084, 236743, 236828, 546, 236772, 236828, 3840, 236793, 23076, 5756, 91852, 677, 2538, 532, 14403, 23179, 3714, 1201, 1083, 623, 91899, 1438, 58462, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 26830, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 827, 623, 5265, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 4818, 1083, 623, 5265, 827, 623, 5275, 1083, 33865, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 18146, 236779, 23184, 1083, 623, 7084, 236743, 236832, 546, 236772, 236819, 3840, 236793, 37358, 43615, 3336, 607, 6050, 13153, 236775, 165075, 106, 107, 105, 4368, 107, 11069, 57458, 4085, 108684, 157202, 2033, 53342, 563, 5213, 46325, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236825, 236787, 236800, 236771, 8711, 1018, 657, 14710, 58037, 4556, 236761, 138, 108, 8291, 659, 1156, 26135, 32095, 11936, 528, 169031, 1932, 580, 600, 3433, 607, 5756, 6050, 13153, 236787, 138, 108, 236770, 236761, 5213, 4967, 17226, 8279, 224607, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 6400, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 138, 107, 139, 252074, 7607, 236743, 236828, 546, 236964, 236828, 3840, 1109, 236743, 246080, 568, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 139, 239794, 808, 23244, 1363, 236787, 28776, 91852, 677, 2538, 532, 14403, 573, 6050, 236829, 138, 108, 236778, 236761, 5213, 91899, 1438, 58462, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 26830, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 138, 107, 139, 252074, 7607, 236743, 236832, 546, 236964, 236819, 3840, 1109, 236743, 246080, 568, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 138, 107, 139, 239794, 808, 23244, 1363, 236787, 135460, 43615, 3336, 607, 6050, 13153, 236829, 138, 108, 22186, 11936, 795, 735, 506, 187148, 35226, 573, 822, 14187, 6050, 236888, 28819, 506, 2290, 532, 822, 12441, 4598, 236761, 236743, 250046, 242061, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 6995, 496, 1944, 12441, 4598, 573, 506, 57458, 4085, 108684, 157202, 2290, 672, 9735, 531, 17159, 506, 2434, 236789, 236751, 2033, 53342, 236761, 564, 1461, 531, 1386, 1041, 14187, 6050, 607, 14403, 532, 91852, 677, 2538, 236764, 840, 564, 1202, 531, 1281, 506, 4453, 2290, 3433, 1171, 531, 7805, 573, 13153, 236761, 28344, 611, 2426, 506, 2148, 2033, 2290, 4889, 573, 506, 57458, 4085, 108684, 157202, 236881, 4298, 236764, 564, 236789, 236753, 1133, 531, 1586, 496, 26135, 32095, 4762, 528, 169031, 600, 236789, 236751, 1932, 580, 600, 3433, 531, 974, 506, 187148, 35226, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 157638, 1083, 623, 179945, 4244, 1190, 827, 623, 6109, 1083, 623, 51435, 58037, 4556, 827, 623, 4818, 1083, 623, 87877, 827, 623, 4874, 236779, 8147, 236779, 5567, 1083, 623, 46325, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236825, 236787, 236800, 236771, 8711, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 4967, 17226, 8279, 224607, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 827, 623, 5265, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 4818, 1083, 623, 5265, 827, 623, 5275, 1083, 33865, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 18146, 236779, 23184, 1083, 623, 7084, 236743, 236828, 546, 236772, 236828, 3840, 236793, 23076, 5756, 91852, 677, 2538, 532, 14403, 23179, 3714, 1201, 1083, 623, 91899, 1438, 58462, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 26830, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 827, 623, 5265, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 4818, 1083, 623, 5265, 827, 623, 5275, 1083, 33865, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 18146, 236779, 23184, 1083, 623, 7084, 236743, 236832, 546, 236772, 236819, 3840, 236793, 37358, 43615, 3336, 607, 6050, 13153, 236775, 165075, 106, 107, 105, 4368, 107, 11069, 57458, 4085, 108684, 157202, 2033, 53342, 563, 5213, 46325, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236825, 236787, 236800, 236771, 8711, 1018, 657, 14710, 58037, 4556, 236761, 138, 108, 8291, 659, 1156, 26135, 32095, 11936, 528, 169031, 1932, 580, 600, 3433, 607, 5756, 6050, 13153, 236787, 138, 108, 236770, 236761, 5213, 4967, 17226, 8279, 224607, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 6400, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 138, 107, 139, 252074, 7607, 236743, 236828, 546, 236964, 236828, 3840, 1109, 236743, 246080, 568, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 139, 239794, 808, 23244, 1363, 236787, 28776, 91852, 677, 2538, 532, 14403, 573, 6050, 236829, 138, 108, 236778, 236761, 5213, 91899, 1438, 58462, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 26830, 842, 236764, 169031, 236764, 9634, 236743, 236800, 236810, 236828, 236771, 236770, 138, 107, 139, 252074, 7607, 236743, 236832, 546, 236964, 236819, 3840, 1109, 236743, 246080, 568, 236778, 236810, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 138, 107, 139, 239794, 808, 23244, 1363, 236787, 135460, 43615, 3336, 607, 6050, 13153, 236829, 138, 108, 22186, 11936, 795, 735, 506, 187148, 35226, 573, 822, 14187, 6050, 236888, 28819, 506, 2290, 532, 822, 12441, 4598, 236761, 236743, 250046, 242061, 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, 5707, 16553, 43317, 573, 1023, 16038, 3399, 7972, 8912, 528, 751, 16055, 1348, 236761, 564, 236789, 560, 56034, 506, 16167, 3004, 607, 2460, 4889, 236764, 24564, 7760, 236764, 532, 3732, 30973, 6667, 236764, 840, 564, 1461, 625, 45047, 29830, 607, 236743, 236771, 236761, 236832, 236810, 236772, 14490, 34759, 236764, 496, 2401, 12093, 18482, 506, 7972, 8839, 236764, 532, 3104, 4945, 236761, 3199, 611, 7352, 672, 16167, 531, 16553, 1651, 39983, 506, 24554, 44426, 3393, 600, 9851, 531, 1023, 3489, 15020, 236881, 568, 236777, 236789, 859, 4553, 506, 16167, 2129, 532, 8839, 21112, 3622, 692, 9128, 506, 7846, 2907, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2619, 506, 16553, 43317, 607, 784, 822, 23003, 236761, 7323, 2847, 236787, 107, 236770, 236761, 669, 10739, 1298, 822, 16167, 2129, 563, 22889, 107, 236778, 236761, 562, 10739, 531, 506, 7972, 8839, 2471, 573, 506, 12093, 107, 236800, 236761, 7129, 3530, 16167, 3004, 573, 506, 12093, 236786, 14231, 568, 584, 711, 3847, 236764, 564, 236789, 859, 1161, 4077, 7930, 607, 8839, 2378, 236772, 4647, 532, 3104, 4945, 1447, 236772, 4647, 236768, 108, 14946, 611, 2847, 1239, 4889, 236764, 564, 236789, 859, 8729, 506, 16553, 607, 236787, 107, 236772, 236743, 236771, 236761, 236832, 236810, 236775, 34759, 107, 236772, 13287, 12093, 7906, 822, 8839, 107, 236772, 11338, 4945, 528, 44436, 107, 236772, 141269, 44426, 3393, 27750, 107, 236772, 50647, 17183, 768, 4354, 108, 9366, 4024, 506, 3149, 10091, 1056, 5508, 236761, 106, 107, 105, 2364, 107, 818, 16167, 2129, 563, 22889, 657, 4560, 1411, 236767, 16055, 1348, 37939, 45312, 236761, 2187, 236786, 29184, 236772, 9372, 574, 694, 236761, 3185, 532, 506, 7972, 8839, 740, 577, 34961, 657, 4560, 1411, 236767, 16055, 1348, 37939, 45312, 236761, 2187, 236786, 3871, 236786, 45312, 236772, 11920, 236761, 5067, 236761, 669, 12093, 1374, 3034, 623, 236855, 16055, 1348, 11493, 19871, 7879, 236775, 531, 506, 2378, 529, 506, 8839, 236764, 607, 3104, 4945, 528, 506, 44436, 45047, 618, 623, 4163, 1684, 529, 895, 3056, 7323, 5330, 506, 44426, 3393, 528, 506, 16167, 568, 7650, 9851, 531, 4560, 1411, 51133, 236761, 236767, 16055, 1348, 45737, 832, 236761, 2187, 236768, 7474, 1060, 1132, 742, 528, 506, 1626, 16553, 236761, 3199, 611, 8729, 506, 16553, 607, 1239, 23003, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 69930, 236779, 547, 1083, 623, 7618, 7332, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236855, 17956, 236823, 827, 623, 4818, 1083, 623, 40812, 827, 623, 19294, 236779, 2451, 1083, 623, 2574, 1411, 10888, 236772, 8114, 236761, 8358, 236761, 854, 236786, 118708, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 10888, 827, 623, 4000, 236779, 2861, 1083, 236743, 236828, 236764, 623, 108408, 236779, 23184, 1083, 623, 38943, 3393, 27750, 607, 1060, 1132, 742, 9314, 568, 236800, 236771, 236771, 94740, 769, 30407, 236786, 14231, 23693, 6055, 607, 236743, 236771, 236761, 236832, 236810, 495, 34759, 236761, 21685, 1695, 5012, 618, 15633, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 46766, 45047, 16553, 43317, 573, 506, 751, 16055, 1348, 11493, 19871, 7879, 236787, 108, 249982, 5213, 18086, 10297, 53121, 870, 18086, 16553, 165424, 568, 236828, 7704, 65311, 2574, 1411, 10888, 236772, 8114, 236761, 8358, 236761, 854, 236786, 118708, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 10888, 236768, 138, 107, 240732, 5213, 100599, 13810, 8593, 53121, 107, 236772, 236743, 236771, 236761, 236832, 236810, 236775, 34759, 580, 784, 9174, 107, 236772, 13287, 12093, 607, 8839, 900, 623, 236855, 16055, 1348, 11493, 19871, 7879, 236775, 1816, 107, 236772, 44400, 607, 623, 4163, 1684, 529, 895, 236775, 82436, 107, 236772, 44426, 3393, 27750, 657, 236743, 236800, 236771, 236771, 94740, 568, 1166, 743, 531, 4560, 1411, 51133, 236761, 236767, 16055, 1348, 45737, 832, 236761, 2187, 236768, 108, 818, 16553, 563, 5508, 573, 16386, 653, 5177, 5296, 236761, 21284, 611, 1133, 786, 531, 3540, 1027, 3530, 6084, 529, 506, 2354, 1680, 201585, 236881, 106, 107, 105, 2364, 107, 818, 44426, 3393, 7412, 8427, 63940, 528, 506, 32773, 16553, 1056, 129803, 531, 236743, 236778, 236771, 236771, 9525, 28344, 611, 117862, 506, 2354, 607, 506, 44426, 3393, 24554, 618, 496, 3550, 15017, 5205, 529, 72307, 2471, 1651, 16977, 784, 1032, 53892, 236881, 1174, 795, 5330, 625, 7474, 1060, 1132, 742, 1581, 1308, 5065, 1887, 1013, 236761, 3792, 786, 1281, 768, 611, 1202, 506, 3303, 3550, 44426, 3393, 2129, 699, 1023, 4456, 236789, 236751, 4009, 9427, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 14245, 506, 44426, 3393, 3325, 4186, 236761, 2282, 5330, 625, 7412, 618, 496, 3550, 15017, 528, 506, 16553, 236764, 692, 236789, 859, 1202, 531, 17114, 506, 16167, 3004, 531, 3204, 506, 44426, 3393, 618, 614, 86823, 3408, 4319, 1082, 496, 72307, 2471, 236761, 28344, 611, 5091, 236787, 108, 236770, 236761, 44635, 506, 1873, 44426, 3393, 2471, 528, 822, 16167, 607, 614, 86823, 236772, 5140, 44426, 3393, 568, 41928, 611, 1133, 786, 531, 1601, 8729, 672, 17103, 107, 236778, 236761, 41152, 506, 86823, 3408, 815, 2165, 146565, 225773, 718, 9745, 34841, 532, 2165, 1543, 3406, 718, 236771, 236743, 236771, 236743, 236778, 236771, 236771, 236743, 236778, 236771, 236771, 34841, 13963, 573, 2005, 24968, 107, 236800, 236761, 12579, 506, 16167, 2129, 580, 822, 5941, 108, 14946, 611, 236789, 560, 10448, 506, 16167, 236764, 564, 236789, 859, 117862, 506, 16553, 607, 506, 3550, 44426, 3393, 1651, 16977, 784, 822, 6330, 53892, 236761, 1637, 611, 236789, 236753, 5278, 236764, 564, 740, 992, 1601, 611, 2619, 506, 86823, 44426, 3393, 768, 611, 2847, 506, 15020, 10739, 532, 12373, 2425, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 5707, 16553, 43317, 573, 1023, 16038, 3399, 7972, 8912, 528, 751, 16055, 1348, 236761, 564, 236789, 560, 56034, 506, 16167, 3004, 607, 2460, 4889, 236764, 24564, 7760, 236764, 532, 3732, 30973, 6667, 236764, 840, 564, 1461, 625, 45047, 29830, 607, 236743, 236771, 236761, 236832, 236810, 236772, 14490, 34759, 236764, 496, 2401, 12093, 18482, 506, 7972, 8839, 236764, 532, 3104, 4945, 236761, 3199, 611, 7352, 672, 16167, 531, 16553, 1651, 39983, 506, 24554, 44426, 3393, 600, 9851, 531, 1023, 3489, 15020, 236881, 568, 236777, 236789, 859, 4553, 506, 16167, 2129, 532, 8839, 21112, 3622, 692, 9128, 506, 7846, 2907, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2619, 506, 16553, 43317, 607, 784, 822, 23003, 236761, 7323, 2847, 236787, 107, 236770, 236761, 669, 10739, 1298, 822, 16167, 2129, 563, 22889, 107, 236778, 236761, 562, 10739, 531, 506, 7972, 8839, 2471, 573, 506, 12093, 107, 236800, 236761, 7129, 3530, 16167, 3004, 573, 506, 12093, 236786, 14231, 568, 584, 711, 3847, 236764, 564, 236789, 859, 1161, 4077, 7930, 607, 8839, 2378, 236772, 4647, 532, 3104, 4945, 1447, 236772, 4647, 236768, 108, 14946, 611, 2847, 1239, 4889, 236764, 564, 236789, 859, 8729, 506, 16553, 607, 236787, 107, 236772, 236743, 236771, 236761, 236832, 236810, 236775, 34759, 107, 236772, 13287, 12093, 7906, 822, 8839, 107, 236772, 11338, 4945, 528, 44436, 107, 236772, 141269, 44426, 3393, 27750, 107, 236772, 50647, 17183, 768, 4354, 108, 9366, 4024, 506, 3149, 10091, 1056, 5508, 236761, 106, 107, 105, 2364, 107, 818, 16167, 2129, 563, 22889, 657, 4560, 1411, 236767, 16055, 1348, 37939, 45312, 236761, 2187, 236786, 29184, 236772, 9372, 574, 694, 236761, 3185, 532, 506, 7972, 8839, 740, 577, 34961, 657, 4560, 1411, 236767, 16055, 1348, 37939, 45312, 236761, 2187, 236786, 3871, 236786, 45312, 236772, 11920, 236761, 5067, 236761, 669, 12093, 1374, 3034, 623, 236855, 16055, 1348, 11493, 19871, 7879, 236775, 531, 506, 2378, 529, 506, 8839, 236764, 607, 3104, 4945, 528, 506, 44436, 45047, 618, 623, 4163, 1684, 529, 895, 3056, 7323, 5330, 506, 44426, 3393, 528, 506, 16167, 568, 7650, 9851, 531, 4560, 1411, 51133, 236761, 236767, 16055, 1348, 45737, 832, 236761, 2187, 236768, 7474, 1060, 1132, 742, 528, 506, 1626, 16553, 236761, 3199, 611, 8729, 506, 16553, 607, 1239, 23003, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 69930, 236779, 547, 1083, 623, 7618, 7332, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236855, 17956, 236823, 827, 623, 4818, 1083, 623, 40812, 827, 623, 19294, 236779, 2451, 1083, 623, 2574, 1411, 10888, 236772, 8114, 236761, 8358, 236761, 854, 236786, 118708, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 10888, 827, 623, 4000, 236779, 2861, 1083, 236743, 236828, 236764, 623, 108408, 236779, 23184, 1083, 623, 38943, 3393, 27750, 607, 1060, 1132, 742, 9314, 568, 236800, 236771, 236771, 94740, 769, 30407, 236786, 14231, 23693, 6055, 607, 236743, 236771, 236761, 236832, 236810, 495, 34759, 236761, 21685, 1695, 5012, 618, 15633, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 46766, 45047, 16553, 43317, 573, 506, 751, 16055, 1348, 11493, 19871, 7879, 236787, 108, 249982, 5213, 18086, 10297, 53121, 870, 18086, 16553, 165424, 568, 236828, 7704, 65311, 2574, 1411, 10888, 236772, 8114, 236761, 8358, 236761, 854, 236786, 118708, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 10888, 236768, 138, 107, 240732, 5213, 100599, 13810, 8593, 53121, 107, 236772, 236743, 236771, 236761, 236832, 236810, 236775, 34759, 580, 784, 9174, 107, 236772, 13287, 12093, 607, 8839, 900, 623, 236855, 16055, 1348, 11493, 19871, 7879, 236775, 1816, 107, 236772, 44400, 607, 623, 4163, 1684, 529, 895, 236775, 82436, 107, 236772, 44426, 3393, 27750, 657, 236743, 236800, 236771, 236771, 94740, 568, 1166, 743, 531, 4560, 1411, 51133, 236761, 236767, 16055, 1348, 45737, 832, 236761, 2187, 236768, 108, 818, 16553, 563, 5508, 573, 16386, 653, 5177, 5296, 236761, 21284, 611, 1133, 786, 531, 3540, 1027, 3530, 6084, 529, 506, 2354, 1680, 201585, 236881, 106, 107, 105, 2364, 107, 818, 44426, 3393, 7412, 8427, 63940, 528, 506, 32773, 16553, 1056, 129803, 531, 236743, 236778, 236771, 236771, 9525, 28344, 611, 117862, 506, 2354, 607, 506, 44426, 3393, 24554, 618, 496, 3550, 15017, 5205, 529, 72307, 2471, 1651, 16977, 784, 1032, 53892, 236881, 1174, 795, 5330, 625, 7474, 1060, 1132, 742, 1581, 1308, 5065, 1887, 1013, 236761, 3792, 786, 1281, 768, 611, 1202, 506, 3303, 3550, 44426, 3393, 2129, 699, 1023, 4456, 236789, 236751, 4009, 9427, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 14245, 506, 44426, 3393, 3325, 4186, 236761, 2282, 5330, 625, 7412, 618, 496, 3550, 15017, 528, 506, 16553, 236764, 692, 236789, 859, 1202, 531, 17114, 506, 16167, 3004, 531, 3204, 506, 44426, 3393, 618, 614, 86823, 3408, 4319, 1082, 496, 72307, 2471, 236761, 28344, 611, 5091, 236787, 108, 236770, 236761, 44635, 506, 1873, 44426, 3393, 2471, 528, 822, 16167, 607, 614, 86823, 236772, 5140, 44426, 3393, 568, 41928, 611, 1133, 786, 531, 1601, 8729, 672, 17103, 107, 236778, 236761, 41152, 506, 86823, 3408, 815, 2165, 146565, 225773, 718, 9745, 34841, 532, 2165, 1543, 3406, 718, 236771, 236743, 236771, 236743, 236778, 236771, 236771, 236743, 236778, 236771, 236771, 34841, 13963, 573, 2005, 24968, 107, 236800, 236761, 12579, 506, 16167, 2129, 580, 822, 5941, 108, 14946, 611, 236789, 560, 10448, 506, 16167, 236764, 564, 236789, 859, 117862, 506, 16553, 607, 506, 3550, 44426, 3393, 1651, 16977, 784, 822, 6330, 53892, 236761, 1637, 611, 236789, 236753, 5278, 236764, 564, 740, 992, 1601, 611, 2619, 506, 86823, 44426, 3393, 768, 611, 2847, 506, 15020, 10739, 532, 12373, 2425, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 496, 3823, 7606, 4610, 573, 103708, 8715, 236764, 23316, 236764, 532, 7463, 1070, 2263, 10022, 4668, 236761, 3551, 2369, 815, 496, 26100, 2290, 672, 12399, 236764, 532, 564, 1461, 531, 1386, 2889, 564, 3294, 506, 1447, 13290, 236761, 7062, 236764, 532, 2338, 564, 236858, 236757, 528, 5886, 236764, 564, 236858, 560, 1010, 16074, 1217, 7606, 9935, 4208, 1023, 10969, 1698, 5056, 237028, 133604, 855, 4022, 60956, 2126, 2827, 506, 30659, 580, 11690, 5842, 5886, 236761, 1637, 611, 740, 8091, 506, 1873, 4022, 528, 79741, 532, 1027, 4803, 10308, 1003, 10022, 18506, 528, 506, 67684, 14133, 236764, 600, 236858, 236753, 1601, 786, 11807, 1156, 13923, 607, 886, 10810, 236761, 3792, 786, 1281, 1144, 611, 236858, 560, 2506, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 27495, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 25441, 1083, 623, 46435, 15882, 827, 623, 7125, 1083, 623, 223414, 8715, 236764, 23316, 827, 623, 66518, 236779, 12959, 1083, 78493, 3250, 1083, 623, 111030, 14133, 126314, 19558, 8715, 145558, 827, 623, 6011, 1083, 623, 13149, 37392, 20179, 2072, 723, 19458, 2579, 6962, 5365, 11139, 67948, 10969, 17861, 532, 11690, 2460, 6995, 221476, 3714, 3250, 1083, 623, 99078, 16785, 36374, 28789, 72627, 531, 43499, 62986, 211744, 827, 623, 6011, 1083, 623, 4199, 2958, 44898, 14824, 1534, 4022, 43866, 532, 4869, 5886, 529, 11690, 5842, 528, 506, 61040, 236772, 198356, 42602, 2433, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7606, 532, 10022, 4610, 573, 103708, 8715, 236764, 23316, 236787, 108, 251074, 238178, 5213, 8782, 35267, 66515, 236743, 236832, 236778, 236761, 236810, 237366, 236811, 138, 107, 54133, 7606, 573, 496, 26100, 2290, 1271, 2214, 12627, 10325, 236888, 108, 249365, 5213, 13149, 32319, 7074, 66515, 138, 107, 236770, 236761, 5213, 14154, 8715, 145558, 66515, 1286, 19458, 2579, 6962, 5365, 7606, 563, 67948, 10969, 17861, 532, 11690, 2460, 6995, 236761, 138, 107, 236778, 236761, 5213, 26588, 833, 16234, 48993, 66515, 1799, 2958, 44898, 4022, 43866, 528, 506, 61040, 236772, 198356, 2433, 563, 9204, 57952, 528, 11690, 5842, 5886, 1271, 5467, 7798, 531, 822, 5886, 16074, 236888, 108, 38786, 611, 1133, 9239, 49054, 653, 4767, 10022, 1262, 573, 506, 67684, 14133, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 496, 3823, 7606, 4610, 573, 103708, 8715, 236764, 23316, 236764, 532, 7463, 1070, 2263, 10022, 4668, 236761, 3551, 2369, 815, 496, 26100, 2290, 672, 12399, 236764, 532, 564, 1461, 531, 1386, 2889, 564, 3294, 506, 1447, 13290, 236761, 7062, 236764, 532, 2338, 564, 236858, 236757, 528, 5886, 236764, 564, 236858, 560, 1010, 16074, 1217, 7606, 9935, 4208, 1023, 10969, 1698, 5056, 237028, 133604, 855, 4022, 60956, 2126, 2827, 506, 30659, 580, 11690, 5842, 5886, 236761, 1637, 611, 740, 8091, 506, 1873, 4022, 528, 79741, 532, 1027, 4803, 10308, 1003, 10022, 18506, 528, 506, 67684, 14133, 236764, 600, 236858, 236753, 1601, 786, 11807, 1156, 13923, 607, 886, 10810, 236761, 3792, 786, 1281, 1144, 611, 236858, 560, 2506, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 27495, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 25441, 1083, 623, 46435, 15882, 827, 623, 7125, 1083, 623, 223414, 8715, 236764, 23316, 827, 623, 66518, 236779, 12959, 1083, 78493, 3250, 1083, 623, 111030, 14133, 126314, 19558, 8715, 145558, 827, 623, 6011, 1083, 623, 13149, 37392, 20179, 2072, 723, 19458, 2579, 6962, 5365, 11139, 67948, 10969, 17861, 532, 11690, 2460, 6995, 221476, 3714, 3250, 1083, 623, 99078, 16785, 36374, 28789, 72627, 531, 43499, 62986, 211744, 827, 623, 6011, 1083, 623, 4199, 2958, 44898, 14824, 1534, 4022, 43866, 532, 4869, 5886, 529, 11690, 5842, 528, 506, 61040, 236772, 198356, 42602, 2433, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7606, 532, 10022, 4610, 573, 103708, 8715, 236764, 23316, 236787, 108, 251074, 238178, 5213, 8782, 35267, 66515, 236743, 236832, 236778, 236761, 236810, 237366, 236811, 138, 107, 54133, 7606, 573, 496, 26100, 2290, 1271, 2214, 12627, 10325, 236888, 108, 249365, 5213, 13149, 32319, 7074, 66515, 138, 107, 236770, 236761, 5213, 14154, 8715, 145558, 66515, 1286, 19458, 2579, 6962, 5365, 7606, 563, 67948, 10969, 17861, 532, 11690, 2460, 6995, 236761, 138, 107, 236778, 236761, 5213, 26588, 833, 16234, 48993, 66515, 1799, 2958, 44898, 4022, 43866, 528, 506, 61040, 236772, 198356, 2433, 563, 9204, 57952, 528, 11690, 5842, 5886, 1271, 5467, 7798, 531, 822, 5886, 16074, 236888, 108, 38786, 611, 1133, 9239, 49054, 653, 4767, 10022, 1262, 573, 506, 67684, 14133, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 236881, 564, 236789, 236757, 6995, 496, 149590, 18669, 657, 506, 9427, 2148, 2069, 532, 1202, 531, 1281, 768, 692, 1374, 1076, 872, 506, 59346, 236761, 669, 31992, 2473, 4208, 506, 2255, 9413, 564, 236789, 236757, 12717, 699, 506, 11858, 7299, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236810, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236828, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236778, 12371, 827, 623, 19216, 1083, 623, 7783, 586, 35898, 607, 2214, 52098, 25938, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 3831, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236810, 236778, 237366, 236811, 138, 107, 236772, 5213, 117106, 66515, 236743, 236825, 236828, 236908, 568, 153175, 2295, 1494, 236764, 837, 1451, 4208, 2255, 9413, 236768, 138, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236828, 44269, 138, 107, 236772, 5213, 3695, 30815, 5135, 66515, 236743, 236771, 236761, 236778, 12371, 568, 3223, 52098, 4275, 236768, 138, 107, 236772, 5213, 70092, 66515, 216726, 35898, 607, 2214, 52098, 138, 108, 1018, 211199, 66515, 138, 107, 26479, 506, 31992, 532, 4652, 529, 2214, 6927, 236764, 6514, 872, 59346, 1093, 1601, 3856, 2342, 1982, 20511, 236761, 3153, 236764, 2338, 31992, 563, 3016, 23464, 236764, 1966, 4767, 8073, 1133, 229530, 19081, 653, 42078, 37924, 3541, 506, 9413, 531, 5001, 7112, 236761, 7179, 506, 14415, 1570, 12532, 531, 506, 2460, 3433, 573, 12496, 236761, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 1873, 7606, 528, 4244, 38406, 236764, 31079, 236881, 564, 236789, 236757, 6995, 496, 7946, 993, 2148, 2297, 532, 1461, 531, 1502, 30295, 37404, 236761, 669, 4855, 61353, 2290, 691, 142560, 855, 14074, 236764, 834, 564, 7785, 506, 12399, 54909, 17110, 170724, 528, 506, 2433, 532, 1202, 531, 1281, 1144, 2712, 529, 7606, 531, 2414, 1056, 564, 3517, 506, 9383, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 5015, 38406, 236764, 31079, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 236779, 236755, 42024, 1083, 236743, 236770, 236812, 236764, 623, 27495, 236779, 46435, 15882, 1083, 236743, 236810, 236832, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 236779, 11375, 236754, 1083, 236743, 236770, 236810, 236764, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 607, 29892, 52098, 827, 623, 110444, 1083, 623, 12415, 12627, 532, 3204, 6927, 13290, 573, 25260, 7606, 28590, 127096, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 4244, 38406, 236764, 31079, 3831, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236810, 236832, 237366, 236811, 568, 236770, 236812, 237366, 236780, 236768, 138, 107, 236772, 5213, 117106, 66515, 236743, 236825, 236771, 236908, 138, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236770, 236810, 7251, 236786, 236754, 568, 236819, 44269, 236768, 138, 107, 236772, 5213, 70092, 66515, 216726, 35898, 607, 29892, 52098, 138, 108, 1018, 175889, 91330, 66515, 138, 107, 236770, 236761, 5213, 76916, 66515, 113693, 115160, 653, 11737, 151698, 573, 5427, 203976, 236761, 138, 107, 236778, 236761, 5213, 45060, 45240, 66515, 123929, 16621, 653, 36187, 573, 11059, 52098, 236761, 138, 107, 236800, 236761, 5213, 20057, 17634, 66515, 123929, 11795, 653, 22648, 573, 31225, 25260, 16412, 236761, 138, 107, 236812, 236761, 5213, 175153, 42272, 66515, 28501, 2634, 740, 36384, 20511, 237028, 2658, 42078, 37924, 573, 31182, 653, 13719, 4852, 236761, 138, 108, 10081, 7606, 740, 8633, 6077, 3541, 506, 9383, 236764, 2426, 506, 14415, 1570, 496, 2321, 2668, 1680, 822, 7946, 236761, 28819, 506, 17110, 170724, 532, 41997, 8208, 236888, 236743, 244245, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 1570, 236881, 564, 1202, 531, 10741, 3363, 531, 112338, 1041, 32568, 3124, 653, 4491, 3097, 1308, 506, 149590, 18669, 236761, 669, 31992, 2473, 4208, 1800, 506, 6485, 532, 506, 9413, 236764, 532, 564, 1461, 531, 1386, 2889, 564, 56856, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236825, 236828, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 44340, 1083, 236743, 236771, 236764, 623, 41907, 1083, 623, 7783, 586, 35898, 827, 623, 110444, 1083, 623, 116153, 3439, 573, 76325, 32568, 236761, 208719, 563, 21037, 236764, 38445, 11893, 4652, 531, 9413, 236761, 18324, 4249, 563, 2708, 236764, 13471, 52852, 7028, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 3831, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236825, 236828, 237366, 236811, 138, 107, 236772, 5213, 117106, 66515, 236743, 236825, 236810, 236908, 568, 114292, 236764, 78407, 573, 1800, 6485, 532, 9413, 236768, 138, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236770, 236771, 44269, 568, 976, 236764, 13471, 5013, 580, 6485, 532, 52852, 7028, 236768, 138, 107, 236772, 5213, 3695, 30815, 5135, 66515, 236743, 236771, 12371, 568, 1904, 6927, 531, 9249, 11690, 981, 236768, 138, 107, 236772, 5213, 70092, 66515, 216726, 35898, 138, 108, 1018, 211199, 66515, 138, 107, 17076, 236858, 236751, 3439, 659, 5213, 63914, 573, 76325, 32568, 1018, 236888, 669, 21037, 31992, 532, 6220, 529, 6927, 6439, 13682, 573, 1800, 822, 6485, 568, 1904, 65572, 3877, 236768, 532, 9413, 568, 1904, 13610, 20511, 769, 14533, 6573, 22606, 76325, 2810, 236858, 236745, 11887, 37061, 653, 52852, 88576, 236761, 22282, 77372, 76325, 3124, 236764, 1299, 3213, 580, 17373, 506, 9413, 607, 42078, 37924, 653, 496, 229530, 4939, 573, 506, 18669, 236761, 28819, 822, 23904, 1719, 236888, 236743, 241882, 244878, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 236881, 564, 236789, 236757, 6995, 496, 149590, 18669, 657, 506, 9427, 2148, 2069, 532, 1202, 531, 1281, 768, 692, 1374, 1076, 872, 506, 59346, 236761, 669, 31992, 2473, 4208, 506, 2255, 9413, 564, 236789, 236757, 12717, 699, 506, 11858, 7299, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236810, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236828, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236778, 12371, 827, 623, 19216, 1083, 623, 7783, 586, 35898, 607, 2214, 52098, 25938, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 3831, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236810, 236778, 237366, 236811, 138, 107, 236772, 5213, 117106, 66515, 236743, 236825, 236828, 236908, 568, 153175, 2295, 1494, 236764, 837, 1451, 4208, 2255, 9413, 236768, 138, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236828, 44269, 138, 107, 236772, 5213, 3695, 30815, 5135, 66515, 236743, 236771, 236761, 236778, 12371, 568, 3223, 52098, 4275, 236768, 138, 107, 236772, 5213, 70092, 66515, 216726, 35898, 607, 2214, 52098, 138, 108, 1018, 211199, 66515, 138, 107, 26479, 506, 31992, 532, 4652, 529, 2214, 6927, 236764, 6514, 872, 59346, 1093, 1601, 3856, 2342, 1982, 20511, 236761, 3153, 236764, 2338, 31992, 563, 3016, 23464, 236764, 1966, 4767, 8073, 1133, 229530, 19081, 653, 42078, 37924, 3541, 506, 9413, 531, 5001, 7112, 236761, 7179, 506, 14415, 1570, 12532, 531, 506, 2460, 3433, 573, 12496, 236761, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 1873, 7606, 528, 4244, 38406, 236764, 31079, 236881, 564, 236789, 236757, 6995, 496, 7946, 993, 2148, 2297, 532, 1461, 531, 1502, 30295, 37404, 236761, 669, 4855, 61353, 2290, 691, 142560, 855, 14074, 236764, 834, 564, 7785, 506, 12399, 54909, 17110, 170724, 528, 506, 2433, 532, 1202, 531, 1281, 1144, 2712, 529, 7606, 531, 2414, 1056, 564, 3517, 506, 9383, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 5015, 38406, 236764, 31079, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 236779, 236755, 42024, 1083, 236743, 236770, 236812, 236764, 623, 27495, 236779, 46435, 15882, 1083, 236743, 236810, 236832, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 236779, 11375, 236754, 1083, 236743, 236770, 236810, 236764, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 607, 29892, 52098, 827, 623, 110444, 1083, 623, 12415, 12627, 532, 3204, 6927, 13290, 573, 25260, 7606, 28590, 127096, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 4244, 38406, 236764, 31079, 3831, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236810, 236832, 237366, 236811, 568, 236770, 236812, 237366, 236780, 236768, 138, 107, 236772, 5213, 117106, 66515, 236743, 236825, 236771, 236908, 138, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236770, 236810, 7251, 236786, 236754, 568, 236819, 44269, 236768, 138, 107, 236772, 5213, 70092, 66515, 216726, 35898, 607, 29892, 52098, 138, 108, 1018, 175889, 91330, 66515, 138, 107, 236770, 236761, 5213, 76916, 66515, 113693, 115160, 653, 11737, 151698, 573, 5427, 203976, 236761, 138, 107, 236778, 236761, 5213, 45060, 45240, 66515, 123929, 16621, 653, 36187, 573, 11059, 52098, 236761, 138, 107, 236800, 236761, 5213, 20057, 17634, 66515, 123929, 11795, 653, 22648, 573, 31225, 25260, 16412, 236761, 138, 107, 236812, 236761, 5213, 175153, 42272, 66515, 28501, 2634, 740, 36384, 20511, 237028, 2658, 42078, 37924, 573, 31182, 653, 13719, 4852, 236761, 138, 108, 10081, 7606, 740, 8633, 6077, 3541, 506, 9383, 236764, 2426, 506, 14415, 1570, 496, 2321, 2668, 1680, 822, 7946, 236761, 28819, 506, 17110, 170724, 532, 41997, 8208, 236888, 236743, 244245, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 1570, 236881, 564, 1202, 531, 10741, 3363, 531, 112338, 1041, 32568, 3124, 653, 4491, 3097, 1308, 506, 149590, 18669, 236761, 669, 31992, 2473, 4208, 1800, 506, 6485, 532, 506, 9413, 236764, 532, 564, 1461, 531, 1386, 2889, 564, 56856, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236825, 236828, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 44340, 1083, 236743, 236771, 236764, 623, 41907, 1083, 623, 7783, 586, 35898, 827, 623, 110444, 1083, 623, 116153, 3439, 573, 76325, 32568, 236761, 208719, 563, 21037, 236764, 38445, 11893, 4652, 531, 9413, 236761, 18324, 4249, 563, 2708, 236764, 13471, 52852, 7028, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 23760, 1641, 10476, 236764, 22869, 3831, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236825, 236828, 237366, 236811, 138, 107, 236772, 5213, 117106, 66515, 236743, 236825, 236810, 236908, 568, 114292, 236764, 78407, 573, 1800, 6485, 532, 9413, 236768, 138, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236770, 236771, 44269, 568, 976, 236764, 13471, 5013, 580, 6485, 532, 52852, 7028, 236768, 138, 107, 236772, 5213, 3695, 30815, 5135, 66515, 236743, 236771, 12371, 568, 1904, 6927, 531, 9249, 11690, 981, 236768, 138, 107, 236772, 5213, 70092, 66515, 216726, 35898, 138, 108, 1018, 211199, 66515, 138, 107, 17076, 236858, 236751, 3439, 659, 5213, 63914, 573, 76325, 32568, 1018, 236888, 669, 21037, 31992, 532, 6220, 529, 6927, 6439, 13682, 573, 1800, 822, 6485, 568, 1904, 65572, 3877, 236768, 532, 9413, 568, 1904, 13610, 20511, 769, 14533, 6573, 22606, 76325, 2810, 236858, 236745, 11887, 37061, 653, 52852, 88576, 236761, 22282, 77372, 76325, 3124, 236764, 1299, 3213, 580, 17373, 506, 9413, 607, 42078, 37924, 653, 496, 229530, 4939, 573, 506, 18669, 236761, 28819, 822, 23904, 1719, 236888, 236743, 241882, 244878, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 3517, 506, 99209, 41850, 528, 7693, 622, 236761, 236780, 236761, 2148, 2297, 532, 1202, 531, 2260, 496, 8217, 236761, 564, 1461, 531, 4196, 528, 496, 2978, 607, 496, 9615, 4086, 532, 496, 38957, 236764, 50357, 3541, 506, 4025, 25929, 236761, 3551, 2426, 236772, 495, 3433, 563, 6198, 236743, 236770, 236812, 594, 532, 2426, 236772, 725, 563, 6198, 236743, 236770, 236832, 594, 236761, 28344, 611, 1601, 786, 1586, 3835, 600, 4241, 1239, 22195, 236881, 564, 236858, 236753, 992, 1133, 531, 1281, 768, 1027, 529, 506, 11630, 735, 7681, 28745, 236764, 2338, 564, 236858, 236757, 2931, 1003, 1041, 5597, 15668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 58657, 236779, 1201, 1083, 623, 202880, 25145, 4025, 25929, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236812, 236819, 236764, 623, 18700, 236779, 10868, 1083, 78493, 3352, 236779, 2084, 1083, 623, 29776, 35736, 607, 10219, 122857, 827, 623, 22860, 1236, 1083, 11058, 8971, 4086, 827, 623, 2265, 122857, 827, 623, 46116, 27705, 827, 623, 6796, 47802, 14255, 623, 18700, 1083, 1847, 104960, 623, 17178, 236779, 1071, 236779, 78944, 1083, 623, 236771, 236761, 236800, 7635, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 1263, 3714, 58657, 236779, 1201, 1083, 623, 64753, 5841, 12825, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236819, 236819, 236764, 623, 18700, 236779, 10868, 1083, 78493, 3352, 236779, 2084, 1083, 623, 12846, 38016, 6065, 18120, 827, 623, 22860, 1236, 1083, 11058, 8971, 4086, 827, 623, 46116, 27705, 827, 623, 32969, 39791, 14255, 623, 18700, 1083, 1847, 104960, 623, 17178, 236779, 1071, 236779, 78944, 1083, 623, 236771, 236761, 236810, 7635, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 236777, 1765, 1156, 20736, 3541, 506, 4025, 25929, 600, 4241, 822, 22195, 236761, 10508, 3835, 3204, 11630, 607, 9615, 21622, 532, 7681, 28745, 236787, 108, 236770, 236761, 5213, 202880, 25145, 4025, 25929, 1018, 568, 236812, 236761, 236810, 238672, 236768, 107, 139, 236772, 6065, 35736, 607, 10219, 122857, 6131, 236778, 236812, 236819, 236786, 9467, 236768, 107, 139, 236772, 168331, 236787, 9615, 4086, 236764, 38957, 236764, 7681, 27705, 236764, 2196, 47802, 107, 139, 236772, 46783, 236787, 236743, 236771, 236761, 236800, 7635, 531, 4025, 25929, 108, 236778, 236761, 5213, 64753, 5841, 12825, 1018, 568, 236812, 236761, 236778, 238672, 236768, 107, 139, 236772, 77509, 6065, 18120, 6131, 236770, 236819, 236819, 236786, 9467, 236768, 107, 139, 236772, 168331, 236787, 9615, 4086, 236764, 7681, 27705, 236764, 11528, 39791, 107, 139, 236772, 46783, 236787, 236743, 236771, 236761, 236810, 7635, 531, 4025, 25929, 108, 22186, 20736, 2874, 822, 6035, 236764, 607, 506, 28917, 25145, 9722, 38957, 2802, 532, 8427, 12532, 33417, 531, 506, 25929, 236761, 21284, 611, 1133, 10686, 607, 22479, 886, 529, 1239, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 3517, 506, 99209, 41850, 528, 7693, 622, 236761, 236780, 236761, 2148, 2297, 532, 1202, 531, 2260, 496, 8217, 236761, 564, 1461, 531, 4196, 528, 496, 2978, 607, 496, 9615, 4086, 532, 496, 38957, 236764, 50357, 3541, 506, 4025, 25929, 236761, 3551, 2426, 236772, 495, 3433, 563, 6198, 236743, 236770, 236812, 594, 532, 2426, 236772, 725, 563, 6198, 236743, 236770, 236832, 594, 236761, 28344, 611, 1601, 786, 1586, 3835, 600, 4241, 1239, 22195, 236881, 564, 236858, 236753, 992, 1133, 531, 1281, 768, 1027, 529, 506, 11630, 735, 7681, 28745, 236764, 2338, 564, 236858, 236757, 2931, 1003, 1041, 5597, 15668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 58657, 236779, 1201, 1083, 623, 202880, 25145, 4025, 25929, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236812, 236819, 236764, 623, 18700, 236779, 10868, 1083, 78493, 3352, 236779, 2084, 1083, 623, 29776, 35736, 607, 10219, 122857, 827, 623, 22860, 1236, 1083, 11058, 8971, 4086, 827, 623, 2265, 122857, 827, 623, 46116, 27705, 827, 623, 6796, 47802, 14255, 623, 18700, 1083, 1847, 104960, 623, 17178, 236779, 1071, 236779, 78944, 1083, 623, 236771, 236761, 236800, 7635, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 1263, 3714, 58657, 236779, 1201, 1083, 623, 64753, 5841, 12825, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236819, 236819, 236764, 623, 18700, 236779, 10868, 1083, 78493, 3352, 236779, 2084, 1083, 623, 12846, 38016, 6065, 18120, 827, 623, 22860, 1236, 1083, 11058, 8971, 4086, 827, 623, 46116, 27705, 827, 623, 32969, 39791, 14255, 623, 18700, 1083, 1847, 104960, 623, 17178, 236779, 1071, 236779, 78944, 1083, 623, 236771, 236761, 236810, 7635, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 236777, 1765, 1156, 20736, 3541, 506, 4025, 25929, 600, 4241, 822, 22195, 236761, 10508, 3835, 3204, 11630, 607, 9615, 21622, 532, 7681, 28745, 236787, 108, 236770, 236761, 5213, 202880, 25145, 4025, 25929, 1018, 568, 236812, 236761, 236810, 238672, 236768, 107, 139, 236772, 6065, 35736, 607, 10219, 122857, 6131, 236778, 236812, 236819, 236786, 9467, 236768, 107, 139, 236772, 168331, 236787, 9615, 4086, 236764, 38957, 236764, 7681, 27705, 236764, 2196, 47802, 107, 139, 236772, 46783, 236787, 236743, 236771, 236761, 236800, 7635, 531, 4025, 25929, 108, 236778, 236761, 5213, 64753, 5841, 12825, 1018, 568, 236812, 236761, 236778, 238672, 236768, 107, 139, 236772, 77509, 6065, 18120, 6131, 236770, 236819, 236819, 236786, 9467, 236768, 107, 139, 236772, 168331, 236787, 9615, 4086, 236764, 7681, 27705, 236764, 11528, 39791, 107, 139, 236772, 46783, 236787, 236743, 236771, 236761, 236810, 7635, 531, 4025, 25929, 108, 22186, 20736, 2874, 822, 6035, 236764, 607, 506, 28917, 25145, 9722, 38957, 2802, 532, 8427, 12532, 33417, 531, 506, 25929, 236761, 21284, 611, 1133, 10686, 607, 22479, 886, 529, 1239, 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, 4253, 496, 1944, 34499, 129379, 9226, 22658, 657, 496, 2263, 19573, 573, 1041, 3399, 2299, 236761, 564, 236789, 560, 18788, 496, 19573, 5853, 529, 623, 47458, 236770, 236778, 236800, 236775, 573, 669, 10687, 13106, 11493, 6022, 528, 2599, 31157, 16447, 557, 236764, 30578, 236761, 5315, 236764, 5091, 33205, 506, 19573, 4889, 1699, 506, 7876, 2370, 183602, 5904, 607, 600, 5853, 532, 5422, 5192, 236761, 4298, 236764, 8430, 506, 4563, 3421, 699, 1724, 4889, 531, 2426, 20310, 24074, 573, 506, 2433, 1699, 506, 20310, 236779, 70686, 5904, 236761, 564, 1202, 531, 9128, 506, 12960, 563, 1388, 236772, 7577, 568, 46779, 236743, 236812, 236761, 236771, 8197, 236768, 1680, 201585, 506, 2460, 3433, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6109, 236779, 547, 1083, 623, 47458, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 818, 10687, 13106, 11493, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 2599, 31157, 16447, 557, 236764, 30578, 236743, 236778, 236800, 236770, 236771, 236800, 827, 623, 13319, 1083, 623, 3366, 31157, 16447, 557, 827, 623, 3255, 1083, 623, 13422, 827, 623, 15905, 1083, 623, 236778, 236800, 236770, 236771, 236800, 827, 623, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 93420, 827, 623, 67299, 827, 623, 76050, 827, 623, 68066, 16825, 14255, 623, 7777, 1083, 623, 131318, 19573, 607, 9226, 2460, 2557, 236764, 5628, 528, 506, 3710, 529, 2599, 31157, 16447, 557, 236761, 35653, 61529, 607, 3399, 236772, 41889, 31087, 10498, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236828, 236771, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 6774, 1083, 623, 3906, 236940, 947, 13795, 3873, 236761, 2187, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 3366, 31157, 16447, 557, 236764, 30578, 827, 623, 27617, 1083, 623, 38556, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236764, 623, 4818, 1083, 623, 143521, 25938, 106, 107, 105, 4368, 107, 818, 19573, 4889, 532, 20310, 24074, 735, 1010, 10428, 52236, 236787, 108, 1018, 131020, 20303, 568, 818, 10687, 13106, 11493, 6022, 1473, 1018, 107, 236772, 5213, 9604, 53121, 236743, 236770, 236778, 236800, 6400, 6718, 236764, 2599, 31157, 16447, 557, 236764, 30578, 236743, 236778, 236800, 236770, 236771, 236800, 107, 236772, 5213, 82502, 53121, 236743, 236770, 236810, 236771, 12286, 107, 236772, 5213, 200017, 53121, 30409, 236764, 12660, 236764, 33279, 236764, 15283, 16825, 107, 236772, 5213, 9770, 53121, 43902, 19573, 5569, 61529, 607, 3399, 236772, 41889, 31087, 236761, 108, 1018, 132887, 63685, 573, 2599, 31157, 16447, 557, 236764, 30578, 53121, 107, 236772, 5213, 35089, 47240, 53121, 236743, 236812, 236761, 236778, 236786, 236810, 236761, 236771, 568, 143521, 236768, 107, 236772, 5213, 30852, 4308, 53121, 236743, 236770, 236778, 236810, 107, 236772, 5213, 6717, 53121, 7134, 236772, 7577, 12960, 568, 46779, 236743, 236812, 236761, 236771, 8197, 236768, 108, 240732, 5213, 114225, 53121, 669, 12960, 20239, 822, 13469, 568, 13126, 1890, 236743, 236812, 236761, 236771, 779, 532, 506, 19573, 563, 10778, 618, 9273, 573, 822, 34499, 129379, 9226, 22658, 236761, 1599, 1149, 7162, 607, 201585, 506, 2460, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4253, 496, 1944, 34499, 129379, 9226, 22658, 657, 496, 2263, 19573, 573, 1041, 3399, 2299, 236761, 564, 236789, 560, 18788, 496, 19573, 5853, 529, 623, 47458, 236770, 236778, 236800, 236775, 573, 669, 10687, 13106, 11493, 6022, 528, 2599, 31157, 16447, 557, 236764, 30578, 236761, 5315, 236764, 5091, 33205, 506, 19573, 4889, 1699, 506, 7876, 2370, 183602, 5904, 607, 600, 5853, 532, 5422, 5192, 236761, 4298, 236764, 8430, 506, 4563, 3421, 699, 1724, 4889, 531, 2426, 20310, 24074, 573, 506, 2433, 1699, 506, 20310, 236779, 70686, 5904, 236761, 564, 1202, 531, 9128, 506, 12960, 563, 1388, 236772, 7577, 568, 46779, 236743, 236812, 236761, 236771, 8197, 236768, 1680, 201585, 506, 2460, 3433, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6109, 236779, 547, 1083, 623, 47458, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 818, 10687, 13106, 11493, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 2599, 31157, 16447, 557, 236764, 30578, 236743, 236778, 236800, 236770, 236771, 236800, 827, 623, 13319, 1083, 623, 3366, 31157, 16447, 557, 827, 623, 3255, 1083, 623, 13422, 827, 623, 15905, 1083, 623, 236778, 236800, 236770, 236771, 236800, 827, 623, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 93420, 827, 623, 67299, 827, 623, 76050, 827, 623, 68066, 16825, 14255, 623, 7777, 1083, 623, 131318, 19573, 607, 9226, 2460, 2557, 236764, 5628, 528, 506, 3710, 529, 2599, 31157, 16447, 557, 236761, 35653, 61529, 607, 3399, 236772, 41889, 31087, 10498, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236828, 236771, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 6774, 1083, 623, 3906, 236940, 947, 13795, 3873, 236761, 2187, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 3366, 31157, 16447, 557, 236764, 30578, 827, 623, 27617, 1083, 623, 38556, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236764, 623, 4818, 1083, 623, 143521, 25938, 106, 107, 105, 4368, 107, 818, 19573, 4889, 532, 20310, 24074, 735, 1010, 10428, 52236, 236787, 108, 1018, 131020, 20303, 568, 818, 10687, 13106, 11493, 6022, 1473, 1018, 107, 236772, 5213, 9604, 53121, 236743, 236770, 236778, 236800, 6400, 6718, 236764, 2599, 31157, 16447, 557, 236764, 30578, 236743, 236778, 236800, 236770, 236771, 236800, 107, 236772, 5213, 82502, 53121, 236743, 236770, 236810, 236771, 12286, 107, 236772, 5213, 200017, 53121, 30409, 236764, 12660, 236764, 33279, 236764, 15283, 16825, 107, 236772, 5213, 9770, 53121, 43902, 19573, 5569, 61529, 607, 3399, 236772, 41889, 31087, 236761, 108, 1018, 132887, 63685, 573, 2599, 31157, 16447, 557, 236764, 30578, 53121, 107, 236772, 5213, 35089, 47240, 53121, 236743, 236812, 236761, 236778, 236786, 236810, 236761, 236771, 568, 143521, 236768, 107, 236772, 5213, 30852, 4308, 53121, 236743, 236770, 236778, 236810, 107, 236772, 5213, 6717, 53121, 7134, 236772, 7577, 12960, 568, 46779, 236743, 236812, 236761, 236771, 8197, 236768, 108, 240732, 5213, 114225, 53121, 669, 12960, 20239, 822, 13469, 568, 13126, 1890, 236743, 236812, 236761, 236771, 779, 532, 506, 19573, 563, 10778, 618, 9273, 573, 822, 34499, 129379, 9226, 22658, 236761, 1599, 1149, 7162, 607, 201585, 506, 2460, 3433, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 201585, 4301, 6614, 573, 506, 5785, 26810, 7621, 13057, 528, 13706, 2148, 5142, 236761, 564, 1202, 531, 9128, 768, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 563, 496, 2844, 1719, 528, 11702, 1171, 237028, 3307, 2434, 236789, 236751, 14626, 3831, 600, 3433, 236764, 840, 564, 1461, 531, 5571, 20720, 236761, 1637, 625, 236789, 236751, 711, 496, 2844, 1719, 236764, 564, 236789, 859, 1202, 506, 2148, 2487, 886, 236761, 4298, 564, 236789, 859, 7352, 609, 236810, 236771, 236771, 23058, 531, 35594, 573, 1041, 9232, 7715, 1699, 506, 8770, 3136, 580, 506, 10778, 3433, 236761, 7323, 6060, 672, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 2543, 236779, 27617, 1083, 623, 38556, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 69930, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236761, 236771, 236771, 236771, 236953, 827, 623, 107642, 236779, 13304, 1083, 236743, 236812, 236810, 236771, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236771, 236770, 236783, 106, 107, 105, 4368, 107, 818, 3433, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 563, 5213, 2217, 496, 2844, 1719, 1018, 528, 11702, 568, 87877, 618, 496, 1237, 10940, 769, 669, 2148, 2487, 2844, 1719, 563, 5213, 27403, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 84750, 108, 17123, 506, 8770, 3136, 573, 5142, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 107, 236772, 5213, 236795, 236810, 236771, 236771, 23058, 1018, 47874, 531, 5213, 237762, 236812, 236810, 236771, 236761, 236810, 236771, 35594, 1018, 568, 39588, 3136, 236787, 236743, 236771, 236761, 236819, 236771, 236770, 769, 108, 11069, 9232, 7715, 573, 672, 2886, 795, 1660, 5213, 237762, 236812, 236810, 236771, 236761, 236810, 236771, 84750, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 201585, 4301, 6614, 573, 506, 5785, 26810, 7621, 13057, 528, 13706, 2148, 5142, 236761, 564, 1202, 531, 9128, 768, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 563, 496, 2844, 1719, 528, 11702, 1171, 237028, 3307, 2434, 236789, 236751, 14626, 3831, 600, 3433, 236764, 840, 564, 1461, 531, 5571, 20720, 236761, 1637, 625, 236789, 236751, 711, 496, 2844, 1719, 236764, 564, 236789, 859, 1202, 506, 2148, 2487, 886, 236761, 4298, 564, 236789, 859, 7352, 609, 236810, 236771, 236771, 23058, 531, 35594, 573, 1041, 9232, 7715, 1699, 506, 8770, 3136, 580, 506, 10778, 3433, 236761, 7323, 6060, 672, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 2543, 236779, 27617, 1083, 623, 38556, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 69930, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236761, 236771, 236771, 236771, 236953, 827, 623, 107642, 236779, 13304, 1083, 236743, 236812, 236810, 236771, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236771, 236770, 236783, 106, 107, 105, 4368, 107, 818, 3433, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 563, 5213, 2217, 496, 2844, 1719, 1018, 528, 11702, 568, 87877, 618, 496, 1237, 10940, 769, 669, 2148, 2487, 2844, 1719, 563, 5213, 27403, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 84750, 108, 17123, 506, 8770, 3136, 573, 5142, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 107, 236772, 5213, 236795, 236810, 236771, 236771, 23058, 1018, 47874, 531, 5213, 237762, 236812, 236810, 236771, 236761, 236810, 236771, 35594, 1018, 568, 39588, 3136, 236787, 236743, 236771, 236761, 236819, 236771, 236770, 769, 108, 11069, 9232, 7715, 573, 672, 2886, 795, 1660, 5213, 237762, 236812, 236810, 236771, 236761, 236810, 236771, 84750, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 27893, 7946, 531, 9242, 722, 4025, 4556, 2148, 2297, 532, 1202, 496, 13451, 236764, 7606, 236772, 36954, 27263, 607, 496, 71552, 22209, 532, 496, 6541, 529, 236743, 236800, 236810, 236772, 236810, 236771, 66795, 236761, 564, 236789, 560, 80572, 625, 1679, 531, 506, 145865, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 653, 506, 182077, 8228, 150092, 17692, 236743, 236810, 236771, 236764, 840, 564, 236789, 236757, 22684, 531, 10769, 1873, 5469, 236761, 28344, 611, 2426, 9593, 573, 1800, 4681, 532, 2847, 496, 25890, 529, 21212, 236764, 20925, 24074, 236764, 532, 12631, 3835, 236881, 564, 236789, 236753, 5278, 496, 20456, 3772, 600, 5132, 496, 6927, 2890, 653, 71552, 47272, 768, 2487, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 3321, 18616, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 117410, 827, 623, 9707, 1083, 6610, 236770, 236778, 236771, 236761, 236771, 236771, 827, 623, 13126, 1083, 623, 236812, 236761, 236832, 236786, 236810, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 62856, 1083, 623, 39460, 827, 623, 84339, 236779, 8194, 1083, 11058, 15370, 36585, 827, 623, 37568, 30452, 33431, 14255, 623, 28121, 236779, 228024, 1083, 11058, 64556, 71552, 47272, 6131, 236770, 236810, 1550, 22730, 623, 45060, 2890, 1138, 236772, 498, 2487, 6131, 236778, 236771, 236768, 152254, 3714, 3250, 1083, 623, 3321, 18616, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 1255, 37058, 827, 623, 9707, 1083, 6610, 236770, 236812, 236810, 236761, 236771, 236771, 827, 623, 13126, 1083, 623, 236812, 236761, 236825, 236786, 236810, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 827, 623, 62856, 1083, 623, 112543, 45240, 69262, 827, 623, 84339, 236779, 8194, 1083, 11058, 15370, 36585, 827, 623, 217277, 18326, 14255, 623, 28121, 236779, 228024, 1083, 11058, 64556, 6927, 2890, 532, 71552, 47272, 1935, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 13079, 753, 236743, 236778, 236771, 236778, 236800, 9483, 827, 623, 9707, 1083, 236743, 236778, 236778, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 3714, 1201, 1083, 623, 236806, 1020, 8228, 48429, 827, 623, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 623, 101476, 236779, 2003, 1083, 623, 39460, 23179, 623, 16518, 1083, 11058, 91857, 1830, 22209, 18944, 827, 623, 26588, 236772, 36954, 233099, 827, 623, 97880, 6927, 2890, 14255, 623, 84339, 236779, 8194, 1083, 11058, 65381, 236743, 236778, 236772, 1496, 12631, 827, 623, 902, 236772, 6457, 35312, 2487, 152254, 3714, 3250, 1083, 623, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 753, 46030, 8799, 9483, 133984, 827, 623, 9707, 1083, 236743, 236770, 236828, 236810, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236828, 236819, 236771, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 3714, 1201, 1083, 623, 103509, 98301, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 101476, 236779, 2003, 1083, 623, 39460, 23179, 623, 16518, 1083, 11058, 91857, 1830, 22209, 827, 623, 236796, 28520, 1813, 236772, 36954, 9130, 827, 623, 12471, 5132, 71552, 47272, 14255, 623, 84339, 236779, 8194, 1083, 11058, 21108, 12631, 6131, 236810, 236761, 236819, 236819, 22730, 623, 217277, 657, 2263, 31882, 99471, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 1083, 623, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 827, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1873, 9593, 5469, 573, 822, 5540, 116620, 236787, 108, 1018, 3321, 18616, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 1018, 138, 107, 236770, 236761, 5213, 39460, 76592, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 236772, 5213, 101309, 66515, 9593, 568, 193778, 236768, 138, 107, 139, 236772, 5213, 12471, 66515, 34152, 1830, 47272, 5012, 6131, 236770, 236810, 1550, 236768, 900, 6927, 2890, 1138, 236772, 498, 2487, 6131, 236778, 236771, 769, 138, 107, 139, 236772, 5213, 58582, 66515, 9617, 900, 20148, 30452, 33431, 236761, 138, 108, 236778, 236761, 5213, 112543, 45240, 69262, 37058, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236810, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 139, 236772, 5213, 12471, 66515, 49308, 6927, 2890, 900, 71552, 47272, 236761, 138, 107, 139, 236772, 5213, 58582, 66515, 9617, 900, 149924, 18326, 568, 21028, 2862, 769, 138, 108, 1018, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 1018, 138, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236800, 9483, 568, 236806, 1020, 8228, 48429, 62902, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236828, 236786, 236810, 568, 236770, 236764, 236778, 236810, 236771, 10595, 236768, 138, 107, 139, 236772, 5213, 101309, 66515, 182077, 8228, 48429, 568, 236812, 236761, 236819, 236786, 236810, 14470, 236768, 138, 107, 139, 236772, 5213, 27144, 66515, 47398, 6927, 2890, 900, 71552, 22209, 568, 123843, 711, 5012, 769, 138, 107, 139, 236772, 5213, 58582, 66515, 9617, 236743, 236778, 236772, 1496, 568, 40090, 17793, 769, 138, 108, 236778, 236761, 5213, 40488, 8799, 9483, 568, 103509, 98301, 62902, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236810, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236828, 236819, 236771, 10595, 236768, 138, 107, 139, 236772, 5213, 12471, 66515, 49308, 71552, 47272, 236761, 138, 107, 139, 236772, 5213, 58582, 66515, 13029, 6131, 236810, 236761, 236819, 236819, 236768, 653, 31882, 35312, 236761, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 5213, 17043, 37058, 12155, 66515, 669, 5213, 3321, 18616, 1255, 37058, 1018, 6131, 236770, 236812, 236810, 236768, 5469, 1800, 496, 6927, 2890, 532, 71552, 47272, 657, 496, 3718, 3385, 1082, 11691, 21112, 236761, 138, 107, 236772, 5213, 107332, 34742, 66515, 669, 5213, 236806, 1020, 8228, 150092, 236743, 236778, 236771, 236778, 236800, 1018, 815, 12132, 24074, 532, 614, 13148, 6927, 2890, 840, 7087, 21186, 496, 71552, 47272, 21112, 75720, 236795, 236800, 236771, 236772, 236812, 236771, 769, 138, 107, 236772, 5213, 71653, 19993, 66515, 669, 5213, 40488, 8799, 182077, 8228, 1018, 6131, 236770, 236828, 236810, 236761, 236819, 236819, 236768, 41131, 3385, 532, 4065, 236764, 2440, 496, 71552, 47272, 236761, 138, 108, 6845, 15830, 529, 506, 182077, 8228, 236743, 236778, 236771, 236778, 236800, 2028, 236858, 236751, 6927, 2890, 37031, 568, 47452, 236768, 7728, 236761, 506, 145865, 236858, 236751, 1138, 236772, 498, 5086, 236761, 1701, 9242, 722, 236858, 236751, 6471, 7606, 236764, 506, 182077, 8228, 236858, 236751, 7606, 236772, 36954, 233099, 2473, 577, 58621, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 27893, 7946, 531, 9242, 722, 4025, 4556, 2148, 2297, 532, 1202, 496, 13451, 236764, 7606, 236772, 36954, 27263, 607, 496, 71552, 22209, 532, 496, 6541, 529, 236743, 236800, 236810, 236772, 236810, 236771, 66795, 236761, 564, 236789, 560, 80572, 625, 1679, 531, 506, 145865, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 653, 506, 182077, 8228, 150092, 17692, 236743, 236810, 236771, 236764, 840, 564, 236789, 236757, 22684, 531, 10769, 1873, 5469, 236761, 28344, 611, 2426, 9593, 573, 1800, 4681, 532, 2847, 496, 25890, 529, 21212, 236764, 20925, 24074, 236764, 532, 12631, 3835, 236881, 564, 236789, 236753, 5278, 496, 20456, 3772, 600, 5132, 496, 6927, 2890, 653, 71552, 47272, 768, 2487, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 3321, 18616, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 117410, 827, 623, 9707, 1083, 6610, 236770, 236778, 236771, 236761, 236771, 236771, 827, 623, 13126, 1083, 623, 236812, 236761, 236832, 236786, 236810, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 62856, 1083, 623, 39460, 827, 623, 84339, 236779, 8194, 1083, 11058, 15370, 36585, 827, 623, 37568, 30452, 33431, 14255, 623, 28121, 236779, 228024, 1083, 11058, 64556, 71552, 47272, 6131, 236770, 236810, 1550, 22730, 623, 45060, 2890, 1138, 236772, 498, 2487, 6131, 236778, 236771, 236768, 152254, 3714, 3250, 1083, 623, 3321, 18616, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 1255, 37058, 827, 623, 9707, 1083, 6610, 236770, 236812, 236810, 236761, 236771, 236771, 827, 623, 13126, 1083, 623, 236812, 236761, 236825, 236786, 236810, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 827, 623, 62856, 1083, 623, 112543, 45240, 69262, 827, 623, 84339, 236779, 8194, 1083, 11058, 15370, 36585, 827, 623, 217277, 18326, 14255, 623, 28121, 236779, 228024, 1083, 11058, 64556, 6927, 2890, 532, 71552, 47272, 1935, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 13079, 753, 236743, 236778, 236771, 236778, 236800, 9483, 827, 623, 9707, 1083, 236743, 236778, 236778, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 3714, 1201, 1083, 623, 236806, 1020, 8228, 48429, 827, 623, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 623, 101476, 236779, 2003, 1083, 623, 39460, 23179, 623, 16518, 1083, 11058, 91857, 1830, 22209, 18944, 827, 623, 26588, 236772, 36954, 233099, 827, 623, 97880, 6927, 2890, 14255, 623, 84339, 236779, 8194, 1083, 11058, 65381, 236743, 236778, 236772, 1496, 12631, 827, 623, 902, 236772, 6457, 35312, 2487, 152254, 3714, 3250, 1083, 623, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 753, 46030, 8799, 9483, 133984, 827, 623, 9707, 1083, 236743, 236770, 236828, 236810, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236828, 236819, 236771, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 3714, 1201, 1083, 623, 103509, 98301, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 101476, 236779, 2003, 1083, 623, 39460, 23179, 623, 16518, 1083, 11058, 91857, 1830, 22209, 827, 623, 236796, 28520, 1813, 236772, 36954, 9130, 827, 623, 12471, 5132, 71552, 47272, 14255, 623, 84339, 236779, 8194, 1083, 11058, 21108, 12631, 6131, 236810, 236761, 236819, 236819, 22730, 623, 217277, 657, 2263, 31882, 99471, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 1083, 623, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 827, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1873, 9593, 5469, 573, 822, 5540, 116620, 236787, 108, 1018, 3321, 18616, 5661, 11607, 59050, 236743, 236812, 236771, 236862, 236770, 236771, 1018, 138, 107, 236770, 236761, 5213, 39460, 76592, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 236772, 5213, 101309, 66515, 9593, 568, 193778, 236768, 138, 107, 139, 236772, 5213, 12471, 66515, 34152, 1830, 47272, 5012, 6131, 236770, 236810, 1550, 236768, 900, 6927, 2890, 1138, 236772, 498, 2487, 6131, 236778, 236771, 769, 138, 107, 139, 236772, 5213, 58582, 66515, 9617, 900, 20148, 30452, 33431, 236761, 138, 108, 236778, 236761, 5213, 112543, 45240, 69262, 37058, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236810, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 139, 236772, 5213, 12471, 66515, 49308, 6927, 2890, 900, 71552, 47272, 236761, 138, 107, 139, 236772, 5213, 58582, 66515, 9617, 900, 149924, 18326, 568, 21028, 2862, 769, 138, 108, 1018, 236806, 1020, 8228, 150092, 17692, 236743, 236810, 236771, 1018, 138, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236800, 9483, 568, 236806, 1020, 8228, 48429, 62902, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236828, 236786, 236810, 568, 236770, 236764, 236778, 236810, 236771, 10595, 236768, 138, 107, 139, 236772, 5213, 101309, 66515, 182077, 8228, 48429, 568, 236812, 236761, 236819, 236786, 236810, 14470, 236768, 138, 107, 139, 236772, 5213, 27144, 66515, 47398, 6927, 2890, 900, 71552, 22209, 568, 123843, 711, 5012, 769, 138, 107, 139, 236772, 5213, 58582, 66515, 9617, 236743, 236778, 236772, 1496, 568, 40090, 17793, 769, 138, 108, 236778, 236761, 5213, 40488, 8799, 9483, 568, 103509, 98301, 62902, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236810, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236828, 236819, 236771, 10595, 236768, 138, 107, 139, 236772, 5213, 12471, 66515, 49308, 71552, 47272, 236761, 138, 107, 139, 236772, 5213, 58582, 66515, 13029, 6131, 236810, 236761, 236819, 236819, 236768, 653, 31882, 35312, 236761, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 5213, 17043, 37058, 12155, 66515, 669, 5213, 3321, 18616, 1255, 37058, 1018, 6131, 236770, 236812, 236810, 236768, 5469, 1800, 496, 6927, 2890, 532, 71552, 47272, 657, 496, 3718, 3385, 1082, 11691, 21112, 236761, 138, 107, 236772, 5213, 107332, 34742, 66515, 669, 5213, 236806, 1020, 8228, 150092, 236743, 236778, 236771, 236778, 236800, 1018, 815, 12132, 24074, 532, 614, 13148, 6927, 2890, 840, 7087, 21186, 496, 71552, 47272, 21112, 75720, 236795, 236800, 236771, 236772, 236812, 236771, 769, 138, 107, 236772, 5213, 71653, 19993, 66515, 669, 5213, 40488, 8799, 182077, 8228, 1018, 6131, 236770, 236828, 236810, 236761, 236819, 236819, 236768, 41131, 3385, 532, 4065, 236764, 2440, 496, 71552, 47272, 236761, 138, 108, 6845, 15830, 529, 506, 182077, 8228, 236743, 236778, 236771, 236778, 236800, 2028, 236858, 236751, 6927, 2890, 37031, 568, 47452, 236768, 7728, 236761, 506, 145865, 236858, 236751, 1138, 236772, 498, 5086, 236761, 1701, 9242, 722, 236858, 236751, 6471, 7606, 236764, 506, 182077, 8228, 236858, 236751, 7606, 236772, 36954, 233099, 2473, 577, 58621, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 17531, 236888, 564, 236789, 236757, 189270, 573, 496, 2563, 5886, 7671, 28307, 1494, 236772, 2108, 236772, 15235, 7391, 236764, 532, 564, 1202, 14060, 236761, 28344, 611, 8091, 506, 1903, 236743, 236770, 236771, 160975, 1331, 27768, 236881, 564, 1461, 531, 18840, 910, 13390, 532, 12821, 7021, 531, 49523, 1041, 65872, 236761, 25735, 2934, 3635, 237028, 38917, 506, 1262, 3204, 910, 3662, 8283, 236881, 3551, 16044, 8150, 786, 531, 7445, 236772, 6774, 1239, 18361, 5467, 236764, 532, 564, 236858, 236757, 1390, 1388, 236764, 1531, 236858, 236751, 1164, 1879, 564, 236858, 236757, 13128, 3487, 531, 2056, 1781, 46260, 2094, 2864, 7087, 61872, 623, 3991, 236743, 236770, 236771, 160975, 236775, 16130, 5904, 236787, 974, 236779, 8960, 236779, 15979, 236779, 5640, 236779, 1340, 236779, 79568, 8303, 236779, 1516, 607, 4576, 236784, 236770, 236771, 236761, 669, 3662, 8283, 2934, 563, 496, 2604, 104598, 236764, 618, 6436, 1537, 236858, 236745, 20193, 600, 236764, 840, 100146, 607, 110904, 236858, 236751, 5886, 236772, 27612, 41998, 2907, 236829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79568, 8303, 1083, 78493, 1201, 1083, 623, 234729, 43359, 827, 623, 2108, 236779, 15235, 1083, 236743, 236778, 236812, 236800, 236761, 236828, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 132473, 236764, 92024, 23179, 3714, 1201, 1083, 623, 131918, 1572, 1789, 745, 827, 623, 2108, 236779, 15235, 1083, 236743, 236778, 236778, 236771, 236761, 236770, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 120392, 58724, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 236798, 19137, 236814, 6308, 23179, 3714, 1201, 1083, 623, 49469, 170663, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236828, 236828, 236761, 236825, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 39460, 23179, 3714, 1201, 1083, 623, 120176, 159684, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236825, 236771, 236761, 236800, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 75243, 23179, 3714, 1201, 1083, 623, 30790, 46128, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236812, 236771, 236761, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 18801, 23179, 3714, 1201, 1083, 623, 125882, 136514, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236778, 236828, 236761, 236832, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 32660, 1230, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 186817, 15431, 158410, 23179, 3714, 1201, 1083, 623, 10666, 119029, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236770, 236812, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 24066, 123747, 23179, 3714, 1201, 1083, 623, 6700, 116091, 106318, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236771, 236832, 236761, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 109799, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 2704, 509, 716, 6308, 568, 184587, 16291, 1263, 3714, 1201, 1083, 623, 96630, 71462, 6715, 236785, 236756, 236771, 236771, 5742, 827, 623, 2108, 236779, 15235, 1083, 236743, 236819, 236832, 236761, 236828, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 28942, 40818, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 47158, 587, 236785, 236756, 236771, 236771, 236760, 236800, 21353, 23179, 3714, 1201, 1083, 623, 49053, 14627, 1042, 827, 623, 2108, 236779, 15235, 1083, 236743, 236819, 236810, 236761, 236812, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 18801, 25938, 1604, 623, 27617, 236779, 2763, 37755, 1083, 623, 8233, 5367, 2979, 659, 23494, 532, 10448, 618, 529, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 14060, 580, 506, 1903, 236743, 236770, 236771, 160975, 7010, 27768, 568, 236935, 236778, 236743, 236778, 236771, 236778, 236810, 1262, 1473, 108, 1018, 8534, 236743, 236770, 236771, 93010, 8303, 53121, 107, 236770, 236761, 5213, 234729, 43359, 1018, 6131, 236778, 236812, 236800, 236761, 236828, 236799, 236768, 753, 10856, 568, 132473, 236786, 17642, 236917, 236768, 138, 107, 236778, 236761, 5213, 131918, 1572, 1789, 745, 1018, 6131, 236778, 236778, 236771, 236761, 236770, 236799, 236768, 753, 59169, 58724, 568, 236798, 19137, 236814, 236768, 138, 107, 236800, 236761, 5213, 49469, 170663, 1018, 6131, 236770, 236828, 236828, 236761, 236825, 236799, 236768, 753, 10856, 568, 39460, 236768, 138, 107, 236812, 236761, 5213, 120176, 159684, 1018, 6131, 236770, 236825, 236771, 236761, 236800, 236799, 236768, 753, 10856, 568, 75243, 236768, 138, 107, 236810, 236761, 5213, 30790, 46128, 1018, 6131, 236770, 236812, 236771, 236761, 236819, 236799, 236768, 753, 10856, 568, 18801, 236768, 138, 107, 236825, 236761, 5213, 125882, 136514, 1018, 6131, 236770, 236778, 236828, 236761, 236832, 236799, 236768, 753, 72666, 568, 186817, 15431, 158410, 236768, 138, 107, 236832, 236761, 5213, 10666, 119029, 1018, 6131, 236770, 236770, 236812, 236761, 236810, 236799, 236768, 753, 10856, 568, 24066, 236768, 138, 107, 236828, 236761, 5213, 6700, 116091, 106318, 1018, 6131, 236770, 236771, 236832, 236761, 236778, 236799, 236768, 753, 43499, 568, 184587, 236768, 138, 107, 236819, 236761, 5213, 96630, 71462, 6715, 237066, 1018, 6131, 236819, 236832, 236761, 236828, 236799, 236768, 753, 16218, 40818, 138, 107, 236770, 236771, 236761, 5213, 49053, 14627, 1042, 1018, 6131, 236819, 236810, 236761, 236812, 236799, 236768, 753, 10856, 568, 18801, 236768, 138, 108, 1018, 3503, 76374, 573, 63754, 522, 53121, 107, 236772, 236743, 236832, 236786, 236770, 236771, 659, 14896, 205947, 568, 132473, 236764, 9593, 236764, 9265, 236764, 31145, 236764, 38916, 236768, 107, 236772, 59169, 9061, 532, 66776, 4595, 69937, 174606, 107, 236772, 52259, 17461, 568, 186817, 15431, 158410, 236768, 2036, 2768, 12566, 47934, 108, 1018, 76171, 13948, 23614, 53121, 138, 107, 195096, 669, 15297, 1677, 5244, 3204, 3577, 3662, 4889, 236761, 28868, 236772, 6774, 522, 22346, 236772, 11480, 236772, 2108, 236772, 15235, 7010, 5467, 1093, 1660, 9302, 13199, 1133, 236787, 107, 236772, 23471, 12230, 568, 122211, 236764, 3635, 901, 3187, 735, 18774, 236768, 107, 236772, 7423, 586, 9456, 11961, 24157, 568, 43128, 573, 3577, 1161, 236768, 107, 236772, 4819, 236772, 643, 129289, 3019, 568, 2763, 148483, 840, 11162, 236768, 108, 236829, 1489, 42272, 149681, 14066, 28307, 910, 1960, 10521, 4319, 1082, 3577, 43285, 236761, 1701, 2591, 236764, 62896, 13726, 2778, 5434, 531, 43359, 236789, 236751, 58489, 653, 15818, 14896, 93877, 573, 1572, 1789, 745, 236789, 236751, 13965, 2473, 6422, 2480, 2536, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 17531, 236888, 564, 236789, 236757, 189270, 573, 496, 2563, 5886, 7671, 28307, 1494, 236772, 2108, 236772, 15235, 7391, 236764, 532, 564, 1202, 14060, 236761, 28344, 611, 8091, 506, 1903, 236743, 236770, 236771, 160975, 1331, 27768, 236881, 564, 1461, 531, 18840, 910, 13390, 532, 12821, 7021, 531, 49523, 1041, 65872, 236761, 25735, 2934, 3635, 237028, 38917, 506, 1262, 3204, 910, 3662, 8283, 236881, 3551, 16044, 8150, 786, 531, 7445, 236772, 6774, 1239, 18361, 5467, 236764, 532, 564, 236858, 236757, 1390, 1388, 236764, 1531, 236858, 236751, 1164, 1879, 564, 236858, 236757, 13128, 3487, 531, 2056, 1781, 46260, 2094, 2864, 7087, 61872, 623, 3991, 236743, 236770, 236771, 160975, 236775, 16130, 5904, 236787, 974, 236779, 8960, 236779, 15979, 236779, 5640, 236779, 1340, 236779, 79568, 8303, 236779, 1516, 607, 4576, 236784, 236770, 236771, 236761, 669, 3662, 8283, 2934, 563, 496, 2604, 104598, 236764, 618, 6436, 1537, 236858, 236745, 20193, 600, 236764, 840, 100146, 607, 110904, 236858, 236751, 5886, 236772, 27612, 41998, 2907, 236829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79568, 8303, 1083, 78493, 1201, 1083, 623, 234729, 43359, 827, 623, 2108, 236779, 15235, 1083, 236743, 236778, 236812, 236800, 236761, 236828, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 132473, 236764, 92024, 23179, 3714, 1201, 1083, 623, 131918, 1572, 1789, 745, 827, 623, 2108, 236779, 15235, 1083, 236743, 236778, 236778, 236771, 236761, 236770, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 120392, 58724, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 236798, 19137, 236814, 6308, 23179, 3714, 1201, 1083, 623, 49469, 170663, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236828, 236828, 236761, 236825, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 39460, 23179, 3714, 1201, 1083, 623, 120176, 159684, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236825, 236771, 236761, 236800, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 75243, 23179, 3714, 1201, 1083, 623, 30790, 46128, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236812, 236771, 236761, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 18801, 23179, 3714, 1201, 1083, 623, 125882, 136514, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236778, 236828, 236761, 236832, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 32660, 1230, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 186817, 15431, 158410, 23179, 3714, 1201, 1083, 623, 10666, 119029, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236770, 236812, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 24066, 123747, 23179, 3714, 1201, 1083, 623, 6700, 116091, 106318, 827, 623, 2108, 236779, 15235, 1083, 236743, 236770, 236771, 236832, 236761, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 109799, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 2704, 509, 716, 6308, 568, 184587, 16291, 1263, 3714, 1201, 1083, 623, 96630, 71462, 6715, 236785, 236756, 236771, 236771, 5742, 827, 623, 2108, 236779, 15235, 1083, 236743, 236819, 236832, 236761, 236828, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 28942, 40818, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 47158, 587, 236785, 236756, 236771, 236771, 236760, 236800, 21353, 23179, 3714, 1201, 1083, 623, 49053, 14627, 1042, 827, 623, 2108, 236779, 15235, 1083, 236743, 236819, 236810, 236761, 236812, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 78024, 1083, 623, 69416, 827, 623, 6265, 236779, 1340, 236779, 23031, 1083, 623, 18801, 25938, 1604, 623, 27617, 236779, 2763, 37755, 1083, 623, 8233, 5367, 2979, 659, 23494, 532, 10448, 618, 529, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 14060, 580, 506, 1903, 236743, 236770, 236771, 160975, 7010, 27768, 568, 236935, 236778, 236743, 236778, 236771, 236778, 236810, 1262, 1473, 108, 1018, 8534, 236743, 236770, 236771, 93010, 8303, 53121, 107, 236770, 236761, 5213, 234729, 43359, 1018, 6131, 236778, 236812, 236800, 236761, 236828, 236799, 236768, 753, 10856, 568, 132473, 236786, 17642, 236917, 236768, 138, 107, 236778, 236761, 5213, 131918, 1572, 1789, 745, 1018, 6131, 236778, 236778, 236771, 236761, 236770, 236799, 236768, 753, 59169, 58724, 568, 236798, 19137, 236814, 236768, 138, 107, 236800, 236761, 5213, 49469, 170663, 1018, 6131, 236770, 236828, 236828, 236761, 236825, 236799, 236768, 753, 10856, 568, 39460, 236768, 138, 107, 236812, 236761, 5213, 120176, 159684, 1018, 6131, 236770, 236825, 236771, 236761, 236800, 236799, 236768, 753, 10856, 568, 75243, 236768, 138, 107, 236810, 236761, 5213, 30790, 46128, 1018, 6131, 236770, 236812, 236771, 236761, 236819, 236799, 236768, 753, 10856, 568, 18801, 236768, 138, 107, 236825, 236761, 5213, 125882, 136514, 1018, 6131, 236770, 236778, 236828, 236761, 236832, 236799, 236768, 753, 72666, 568, 186817, 15431, 158410, 236768, 138, 107, 236832, 236761, 5213, 10666, 119029, 1018, 6131, 236770, 236770, 236812, 236761, 236810, 236799, 236768, 753, 10856, 568, 24066, 236768, 138, 107, 236828, 236761, 5213, 6700, 116091, 106318, 1018, 6131, 236770, 236771, 236832, 236761, 236778, 236799, 236768, 753, 43499, 568, 184587, 236768, 138, 107, 236819, 236761, 5213, 96630, 71462, 6715, 237066, 1018, 6131, 236819, 236832, 236761, 236828, 236799, 236768, 753, 16218, 40818, 138, 107, 236770, 236771, 236761, 5213, 49053, 14627, 1042, 1018, 6131, 236819, 236810, 236761, 236812, 236799, 236768, 753, 10856, 568, 18801, 236768, 138, 108, 1018, 3503, 76374, 573, 63754, 522, 53121, 107, 236772, 236743, 236832, 236786, 236770, 236771, 659, 14896, 205947, 568, 132473, 236764, 9593, 236764, 9265, 236764, 31145, 236764, 38916, 236768, 107, 236772, 59169, 9061, 532, 66776, 4595, 69937, 174606, 107, 236772, 52259, 17461, 568, 186817, 15431, 158410, 236768, 2036, 2768, 12566, 47934, 108, 1018, 76171, 13948, 23614, 53121, 138, 107, 195096, 669, 15297, 1677, 5244, 3204, 3577, 3662, 4889, 236761, 28868, 236772, 6774, 522, 22346, 236772, 11480, 236772, 2108, 236772, 15235, 7010, 5467, 1093, 1660, 9302, 13199, 1133, 236787, 107, 236772, 23471, 12230, 568, 122211, 236764, 3635, 901, 3187, 735, 18774, 236768, 107, 236772, 7423, 586, 9456, 11961, 24157, 568, 43128, 573, 3577, 1161, 236768, 107, 236772, 4819, 236772, 643, 129289, 3019, 568, 2763, 148483, 840, 11162, 236768, 108, 236829, 1489, 42272, 149681, 14066, 28307, 910, 1960, 10521, 4319, 1082, 3577, 43285, 236761, 1701, 2591, 236764, 62896, 13726, 2778, 5434, 531, 43359, 236789, 236751, 58489, 653, 15818, 14896, 93877, 573, 1572, 1789, 745, 236789, 236751, 13965, 2473, 6422, 2480, 2536, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3910, 5865, 236761, 564, 236789, 236757, 558, 1404, 498, 236764, 1010, 5662, 3085, 10526, 1418, 8492, 657, 506, 895, 8931, 11493, 6022, 573, 236743, 236800, 236771, 1518, 6850, 236761, 4224, 236764, 23563, 6156, 236789, 236751, 631, 495, 236789, 872, 580, 3353, 236743, 236778, 236832, 594, 237028, 236777, 1751, 625, 236789, 236751, 496, 8492, 672, 1051, 237028, 5503, 564, 1202, 531, 1281, 768, 506, 3988, 236789, 859, 577, 1932, 600, 1719, 573, 1023, 2290, 236761, 5315, 236764, 2426, 768, 3353, 236743, 236778, 236832, 594, 236764, 236743, 236778, 236771, 236778, 236812, 563, 3643, 496, 1237, 10940, 528, 506, 8288, 1699, 9002, 5904, 611, 2506, 573, 600, 236761, 1637, 625, 563, 236764, 1385, 872, 506, 3988, 236789, 236751, 3885, 573, 600, 3530, 3433, 528, 1023, 8735, 1458, 236761, 669, 1927, 1463, 1374, 577, 623, 46640, 16409, 35835, 2098, 840, 1041, 6571, 236789, 236751, 711, 1144, 625, 1456, 531, 577, 237028, 5455, 2297, 564, 133174, 625, 691, 623, 204027, 35835, 2098, 834, 768, 506, 1171, 886, 1537, 236789, 236745, 981, 236764, 2056, 506, 1032, 236761, 4224, 236764, 768, 506, 8735, 1407, 506, 3988, 236789, 236751, 6535, 600, 8492, 236764, 564, 236789, 859, 1202, 531, 3717, 496, 861, 3085, 10526, 1076, 573, 1041, 46162, 2338, 564, 740, 236789, 236745, 1531, 506, 11561, 527, 1679, 236761, 9100, 786, 496, 4762, 14942, 600, 35025, 1091, 237028, 236874, 8931, 236789, 236751, 1944, 236764, 840, 993, 236789, 236751, 56689, 577, 886, 237028, 624, 9279, 506, 2558, 2157, 573, 496, 4077, 1076, 236761, 564, 15593, 56288, 1774, 2069, 236793, 625, 236789, 236751, 609, 236770, 236778, 236761, 236819, 236819, 236764, 532, 607, 895, 8931, 5796, 236789, 236751, 236743, 236828, 236761, 236825, 236908, 3869, 532, 951, 12631, 756, 63055, 564, 236789, 859, 4351, 625, 872, 236764, 564, 44534, 1460, 506, 6596, 236761, 5185, 236789, 236745, 10849, 531, 5383, 1041, 53276, 14710, 236789, 236751, 3662, 2311, 237028, 499, 236789, 236751, 506, 886, 1015, 4173, 786, 1003, 506, 56288, 3385, 237028, 5275, 236789, 236751, 568, 236819, 236778, 236828, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236764, 4553, 109363, 236761, 3748, 10526, 236940, 236762, 8931, 236761, 2108, 236761, 1293, 236789, 236751, 912, 529, 506, 2299, 236764, 834, 692, 236789, 859, 1202, 1515, 573, 3402, 4972, 236761, 19044, 2918, 684, 2918, 1492, 236764, 2369, 1920, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 14801, 4809, 1083, 623, 3118, 827, 623, 25611, 1083, 1847, 236764, 623, 13214, 1083, 1847, 236764, 623, 2861, 695, 1083, 2303, 236764, 623, 29184, 16431, 1083, 236743, 236770, 236828, 236832, 236771, 236764, 623, 9846, 1083, 11058, 19118, 99471, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 827, 623, 1201, 1083, 623, 135831, 6156, 827, 623, 14801, 4809, 1083, 623, 3118, 827, 623, 25611, 1083, 2416, 236764, 623, 13214, 1083, 1847, 236764, 623, 2861, 695, 1083, 2303, 236764, 623, 29184, 16431, 1083, 236743, 236770, 236828, 236825, 236828, 236764, 623, 9846, 1083, 11058, 19118, 99471, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236812, 827, 623, 1201, 1083, 623, 219550, 6156, 827, 623, 14801, 4809, 1083, 623, 3118, 827, 623, 25611, 1083, 1847, 236764, 623, 13214, 1083, 1847, 236764, 623, 2861, 695, 1083, 2303, 236764, 623, 29184, 16431, 1083, 236743, 236770, 236832, 236832, 236825, 236764, 623, 9846, 1083, 11058, 19118, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 3682, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 827, 623, 6717, 1083, 623, 55395, 827, 623, 47875, 1083, 623, 50797, 36475, 753, 23563, 6156, 827, 623, 26253, 1083, 623, 3243, 3399, 3988, 8848, 6535, 573, 127009, 25938, 1604, 623, 3906, 1083, 3714, 2861, 1083, 236743, 236770, 236764, 623, 3041, 2662, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 13769, 1083, 236743, 236770, 236812, 236761, 236770, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11607, 236779, 547, 1083, 623, 236780, 236832, 236828, 236819, 236771, 236770, 827, 623, 4818, 1083, 623, 21452, 827, 623, 1201, 1083, 623, 51435, 827, 623, 5275, 1083, 33865, 236819, 236778, 236828, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 6774, 1083, 623, 196476, 236761, 3748, 10526, 236940, 236762, 8931, 236761, 2108, 25938, 106, 107, 105, 4368, 107, 135831, 6156, 568, 12055, 236743, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 5213, 511, 496, 7933, 10940, 1018, 528, 506, 8288, 236764, 532, 506, 895, 8931, 11493, 6022, 8735, 9128, 625, 795, 577, 5213, 14566, 600, 1719, 1018, 573, 10940, 127009, 236761, 236743, 108, 10081, 822, 8492, 2290, 563, 50425, 236787, 107, 236772, 5213, 19820, 2423, 1076, 2558, 2157, 1018, 657, 56288, 236787, 138, 107, 138, 236795, 236770, 236778, 236761, 236819, 236819, 568, 9707, 236768, 900, 609, 236770, 236761, 236770, 236778, 568, 236828, 236761, 236825, 236908, 3869, 236768, 578, 5213, 236795, 236770, 236812, 236761, 236770, 236770, 1018, 568, 1904, 12631, 5536, 2338, 611, 236789, 859, 4351, 625, 872, 769, 108, 51435, 236789, 236751, 3662, 815, 1010, 10683, 10428, 531, 822, 3421, 2260, 607, 506, 4889, 611, 3847, 236761, 3792, 506, 11561, 527, 1281, 506, 46162, 2290, 563, 580, 1271, 532, 3442, 14710, 8863, 573, 506, 56288, 6508, 236888, 236743, 478, 397, 366, 370, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3910, 5865, 236761, 564, 236789, 236757, 558, 1404, 498, 236764, 1010, 5662, 3085, 10526, 1418, 8492, 657, 506, 895, 8931, 11493, 6022, 573, 236743, 236800, 236771, 1518, 6850, 236761, 4224, 236764, 23563, 6156, 236789, 236751, 631, 495, 236789, 872, 580, 3353, 236743, 236778, 236832, 594, 237028, 236777, 1751, 625, 236789, 236751, 496, 8492, 672, 1051, 237028, 5503, 564, 1202, 531, 1281, 768, 506, 3988, 236789, 859, 577, 1932, 600, 1719, 573, 1023, 2290, 236761, 5315, 236764, 2426, 768, 3353, 236743, 236778, 236832, 594, 236764, 236743, 236778, 236771, 236778, 236812, 563, 3643, 496, 1237, 10940, 528, 506, 8288, 1699, 9002, 5904, 611, 2506, 573, 600, 236761, 1637, 625, 563, 236764, 1385, 872, 506, 3988, 236789, 236751, 3885, 573, 600, 3530, 3433, 528, 1023, 8735, 1458, 236761, 669, 1927, 1463, 1374, 577, 623, 46640, 16409, 35835, 2098, 840, 1041, 6571, 236789, 236751, 711, 1144, 625, 1456, 531, 577, 237028, 5455, 2297, 564, 133174, 625, 691, 623, 204027, 35835, 2098, 834, 768, 506, 1171, 886, 1537, 236789, 236745, 981, 236764, 2056, 506, 1032, 236761, 4224, 236764, 768, 506, 8735, 1407, 506, 3988, 236789, 236751, 6535, 600, 8492, 236764, 564, 236789, 859, 1202, 531, 3717, 496, 861, 3085, 10526, 1076, 573, 1041, 46162, 2338, 564, 740, 236789, 236745, 1531, 506, 11561, 527, 1679, 236761, 9100, 786, 496, 4762, 14942, 600, 35025, 1091, 237028, 236874, 8931, 236789, 236751, 1944, 236764, 840, 993, 236789, 236751, 56689, 577, 886, 237028, 624, 9279, 506, 2558, 2157, 573, 496, 4077, 1076, 236761, 564, 15593, 56288, 1774, 2069, 236793, 625, 236789, 236751, 609, 236770, 236778, 236761, 236819, 236819, 236764, 532, 607, 895, 8931, 5796, 236789, 236751, 236743, 236828, 236761, 236825, 236908, 3869, 532, 951, 12631, 756, 63055, 564, 236789, 859, 4351, 625, 872, 236764, 564, 44534, 1460, 506, 6596, 236761, 5185, 236789, 236745, 10849, 531, 5383, 1041, 53276, 14710, 236789, 236751, 3662, 2311, 237028, 499, 236789, 236751, 506, 886, 1015, 4173, 786, 1003, 506, 56288, 3385, 237028, 5275, 236789, 236751, 568, 236819, 236778, 236828, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236764, 4553, 109363, 236761, 3748, 10526, 236940, 236762, 8931, 236761, 2108, 236761, 1293, 236789, 236751, 912, 529, 506, 2299, 236764, 834, 692, 236789, 859, 1202, 1515, 573, 3402, 4972, 236761, 19044, 2918, 684, 2918, 1492, 236764, 2369, 1920, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 14801, 4809, 1083, 623, 3118, 827, 623, 25611, 1083, 1847, 236764, 623, 13214, 1083, 1847, 236764, 623, 2861, 695, 1083, 2303, 236764, 623, 29184, 16431, 1083, 236743, 236770, 236828, 236832, 236771, 236764, 623, 9846, 1083, 11058, 19118, 99471, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 827, 623, 1201, 1083, 623, 135831, 6156, 827, 623, 14801, 4809, 1083, 623, 3118, 827, 623, 25611, 1083, 2416, 236764, 623, 13214, 1083, 1847, 236764, 623, 2861, 695, 1083, 2303, 236764, 623, 29184, 16431, 1083, 236743, 236770, 236828, 236825, 236828, 236764, 623, 9846, 1083, 11058, 19118, 99471, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236812, 827, 623, 1201, 1083, 623, 219550, 6156, 827, 623, 14801, 4809, 1083, 623, 3118, 827, 623, 25611, 1083, 1847, 236764, 623, 13214, 1083, 1847, 236764, 623, 2861, 695, 1083, 2303, 236764, 623, 29184, 16431, 1083, 236743, 236770, 236832, 236832, 236825, 236764, 623, 9846, 1083, 11058, 19118, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 3682, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 827, 623, 6717, 1083, 623, 55395, 827, 623, 47875, 1083, 623, 50797, 36475, 753, 23563, 6156, 827, 623, 26253, 1083, 623, 3243, 3399, 3988, 8848, 6535, 573, 127009, 25938, 1604, 623, 3906, 1083, 3714, 2861, 1083, 236743, 236770, 236764, 623, 3041, 2662, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 13769, 1083, 236743, 236770, 236812, 236761, 236770, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11607, 236779, 547, 1083, 623, 236780, 236832, 236828, 236819, 236771, 236770, 827, 623, 4818, 1083, 623, 21452, 827, 623, 1201, 1083, 623, 51435, 827, 623, 5275, 1083, 33865, 236819, 236778, 236828, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 6774, 1083, 623, 196476, 236761, 3748, 10526, 236940, 236762, 8931, 236761, 2108, 25938, 106, 107, 105, 4368, 107, 135831, 6156, 568, 12055, 236743, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 5213, 511, 496, 7933, 10940, 1018, 528, 506, 8288, 236764, 532, 506, 895, 8931, 11493, 6022, 8735, 9128, 625, 795, 577, 5213, 14566, 600, 1719, 1018, 573, 10940, 127009, 236761, 236743, 108, 10081, 822, 8492, 2290, 563, 50425, 236787, 107, 236772, 5213, 19820, 2423, 1076, 2558, 2157, 1018, 657, 56288, 236787, 138, 107, 138, 236795, 236770, 236778, 236761, 236819, 236819, 568, 9707, 236768, 900, 609, 236770, 236761, 236770, 236778, 568, 236828, 236761, 236825, 236908, 3869, 236768, 578, 5213, 236795, 236770, 236812, 236761, 236770, 236770, 1018, 568, 1904, 12631, 5536, 2338, 611, 236789, 859, 4351, 625, 872, 769, 108, 51435, 236789, 236751, 3662, 815, 1010, 10683, 10428, 531, 822, 3421, 2260, 607, 506, 4889, 611, 3847, 236761, 3792, 506, 11561, 527, 1281, 506, 46162, 2290, 563, 580, 1271, 532, 3442, 14710, 8863, 573, 506, 56288, 6508, 236888, 236743, 478, 397, 366, 370, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 13611, 1694, 529, 784, 5158, 5089, 528, 506, 1458, 236764, 2440, 910, 13616, 532, 2881, 151686, 236761, 3199, 611, 33205, 600, 1938, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 225686, 236771, 236771, 236770, 827, 623, 10602, 236779, 1201, 1083, 623, 85305, 8943, 827, 623, 10639, 1083, 623, 145557, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 25938, 107, 14937, 547, 1083, 623, 225686, 236771, 236771, 236778, 827, 623, 10602, 236779, 1201, 1083, 623, 43930, 11860, 827, 623, 10639, 1083, 623, 2887, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 25938, 107, 14937, 547, 1083, 623, 225686, 236771, 236771, 236800, 827, 623, 10602, 236779, 1201, 1083, 623, 98393, 18248, 827, 623, 10639, 1083, 623, 4961, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 8291, 563, 506, 13611, 1694, 529, 5158, 5089, 528, 506, 1458, 236787, 108, 236770, 236761, 5213, 85305, 8943, 1018, 138, 107, 139, 236772, 5853, 236787, 2590, 236794, 236771, 236771, 236770, 138, 107, 139, 236772, 29722, 236787, 53277, 138, 107, 139, 236772, 11358, 18365, 236787, 23531, 138, 108, 236778, 236761, 5213, 43930, 11860, 1018, 138, 107, 139, 236772, 5853, 236787, 2590, 236794, 236771, 236771, 236778, 138, 107, 139, 236772, 29722, 236787, 7486, 138, 107, 139, 236772, 11358, 18365, 236787, 23531, 138, 108, 236800, 236761, 5213, 98393, 18248, 1018, 138, 107, 139, 236772, 5853, 236787, 2590, 236794, 236771, 236771, 236800, 138, 107, 139, 236772, 29722, 236787, 12062, 138, 107, 139, 236772, 11358, 18365, 236787, 23531, 138, 108, 2094, 1694, 5132, 784, 5158, 5089, 607, 910, 4709, 104026, 236764, 13616, 236764, 532, 2881, 151686, 618, 15633, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107, 105, 2364, 107, 20418, 236764, 7806, 611, 573, 6655, 506, 1694, 529, 5158, 5089, 236761, 564, 236858, 236753, 1133, 531, 30386, 19276, 1131, 886, 529, 506, 5089, 9456, 236761, 1701, 5213, 85305, 8943, 1018, 568, 1735, 236787, 2590, 236794, 236771, 236771, 236770, 779, 1451, 611, 33205, 1116, 2587, 8781, 4889, 532, 2881, 236772, 15396, 1938, 1699, 506, 2165, 23679, 236752, 2364, 236929, 5904, 236881, 564, 236858, 236757, 6412, 7467, 528, 6611, 1116, 3853, 16182, 532, 1027, 4767, 4403, 600, 2473, 1601, 528, 65122, 607, 1116, 11974, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 85305, 8943, 827, 623, 10639, 1083, 623, 51551, 7879, 12062, 827, 623, 53568, 1083, 623, 7163, 8236, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 130233, 236761, 37540, 236940, 25385, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 236772, 236810, 236810, 236810, 236772, 236825, 236832, 236828, 236772, 236819, 236771, 236770, 236778, 23179, 623, 11622, 236779, 13308, 1083, 3714, 4818, 1083, 623, 5034, 827, 623, 7013, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 623, 10639, 236779, 84840, 1083, 3714, 14992, 236779, 40227, 1083, 11058, 7163, 40440, 10765, 827, 623, 31333, 62840, 49826, 14255, 623, 2478, 236779, 207395, 847, 1083, 11058, 80401, 827, 623, 19952, 21942, 14255, 623, 43852, 236779, 26984, 1083, 11058, 12553, 43645, 40434, 827, 623, 18085, 81909, 22113, 152254, 623, 6875, 236779, 23184, 1083, 623, 32663, 73987, 573, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 1698, 75716, 236761, 43782, 616, 82956, 7283, 573, 2203, 12496, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236771, 236771, 236770, 827, 623, 10602, 236779, 1201, 1083, 623, 85305, 8943, 827, 623, 10639, 1083, 623, 51551, 7303, 12062, 827, 623, 11622, 236779, 13308, 1083, 3714, 4818, 1083, 623, 5034, 827, 623, 53568, 1083, 623, 7163, 8236, 827, 623, 12549, 236779, 5909, 1083, 236743, 236800, 236764, 623, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 23179, 623, 13330, 1083, 3714, 6774, 1083, 623, 130233, 236761, 37540, 236940, 25385, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 7125, 1083, 623, 4199, 3773, 71847, 827, 623, 20828, 1083, 623, 34326, 15416, 827, 623, 68925, 1083, 11058, 11834, 7303, 10765, 827, 623, 31333, 75337, 152254, 623, 12886, 99791, 236779, 6875, 1083, 3714, 90412, 236779, 52732, 1083, 623, 233310, 532, 4553, 827, 623, 25421, 236779, 24392, 1083, 623, 236771, 236819, 236787, 236771, 236771, 236772, 236770, 236832, 236787, 236771, 236771, 28524, 827, 623, 43852, 236779, 26984, 1083, 11058, 15376, 4855, 124388, 827, 623, 10252, 43645, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 53880, 8781, 573, 5213, 85305, 8943, 568, 225686, 236771, 236771, 236770, 62902, 2721, 580, 506, 2165, 23679, 236752, 2364, 236929, 5904, 13630, 236787, 108, 7243, 108, 10354, 5213, 33076, 8230, 1018, 107, 236772, 5213, 1567, 66515, 32858, 8943, 138, 107, 236772, 5213, 11919, 66515, 91544, 236761, 37540, 236940, 25385, 236761, 854, 138, 107, 236772, 5213, 9704, 66515, 900, 236770, 236772, 236810, 236810, 236810, 236772, 236825, 236832, 236828, 236772, 236819, 236771, 236770, 236778, 568, 2025, 236768, 965, 900, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 568, 82016, 236768, 138, 107, 236772, 5213, 6375, 66515, 1799, 3773, 71847, 138, 107, 236772, 5213, 23567, 66515, 7303, 8236, 138, 107, 236772, 5213, 4961, 66515, 9877, 15416, 138, 107, 236772, 5213, 62627, 66515, 138, 107, 138, 236772, 17354, 7303, 10765, 138, 107, 138, 236772, 69873, 75337, 138, 107, 138, 236772, 7303, 40440, 10765, 568, 14992, 2080, 236768, 138, 107, 138, 236772, 69873, 62840, 49826, 568, 14992, 2080, 236768, 138, 108, 7243, 108, 10354, 5213, 13169, 20303, 1018, 107, 236772, 5213, 6717, 66515, 23531, 138, 107, 236772, 5213, 22163, 6809, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 107, 236772, 5213, 9008, 22385, 66515, 138, 107, 138, 236772, 5213, 2887, 29520, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236778, 236778, 59528, 138, 107, 138, 236772, 5213, 13169, 20303, 66515, 6198, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236771, 236819, 236787, 236770, 236810, 59528, 138, 107, 138, 16907, 10282, 236787, 3725, 906, 236758, 5710, 528, 99885, 2192, 1149, 10128, 7732, 1262, 7021, 12016, 138, 107, 236772, 5213, 11942, 16575, 66515, 236743, 236800, 138, 108, 7243, 108, 10354, 5213, 21114, 43141, 1018, 107, 236772, 5213, 7396, 236769, 236751, 62902, 236787, 138, 107, 138, 236772, 19563, 7879, 12062, 46260, 2364, 236779, 13330, 12016, 138, 107, 138, 236772, 19563, 7303, 12062, 46260, 11622, 236779, 13308, 12016, 138, 107, 138, 16907, 10282, 236787, 51508, 97592, 528, 3853, 19293, 12016, 138, 107, 236772, 5213, 3503, 40073, 847, 66515, 138, 107, 138, 236772, 12464, 138, 107, 138, 236772, 17438, 21942, 138, 107, 236772, 5213, 47619, 37747, 66515, 138, 107, 138, 236772, 5213, 2887, 29520, 66515, 12498, 43645, 40434, 236764, 11250, 81909, 22113, 138, 107, 138, 236772, 5213, 13169, 20303, 66515, 25396, 4855, 124388, 236764, 9299, 43645, 138, 108, 7243, 108, 10354, 5213, 221528, 17605, 1018, 107, 236772, 5213, 34851, 30021, 66515, 138, 107, 138, 236772, 1773, 63322, 12496, 568, 15218, 82460, 236786, 6774, 236768, 138, 107, 138, 236772, 22211, 35174, 236787, 236743, 236771, 236819, 236787, 236771, 236771, 236964, 236770, 236832, 236787, 236771, 236771, 28524, 138, 107, 236772, 5213, 26253, 66515, 138, 107, 138, 236772, 21264, 73987, 573, 506, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 1698, 75716, 236761, 138, 107, 138, 236772, 22282, 509, 5411, 29972, 528, 2203, 13049, 236761, 138, 108, 7243, 108, 10354, 5213, 4396, 742, 76374, 573, 67653, 1018, 107, 236770, 236761, 5213, 13579, 66515, 30235, 580, 82956, 12496, 8423, 32034, 236764, 618, 1304, 62197, 672, 573, 2203, 81014, 236761, 138, 107, 236778, 236761, 5213, 3637, 66515, 118189, 4071, 236772, 46990, 29176, 568, 80401, 236764, 17438, 21942, 236768, 528, 18701, 236761, 138, 107, 236800, 236761, 5213, 100651, 66515, 27468, 13721, 2351, 1116, 2844, 3885, 568, 9545, 236768, 573, 12567, 89201, 236761, 138, 107, 236812, 236761, 5213, 38098, 66515, 26623, 1116, 21366, 528, 12498, 12434, 532, 4185, 10534, 19898, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 3421, 85373, 528, 506, 1262, 653, 11327, 3530, 4889, 3342, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 8781, 529, 32858, 8943, 236761, 2282, 2480, 3050, 1116, 4803, 981, 236764, 564, 236858, 236753, 1133, 531, 1460, 1027, 7426, 5417, 19240, 531, 1116, 5699, 236761, 28344, 611, 33205, 4429, 4889, 573, 5213, 11653, 5853, 236787, 12498, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 1018, 1699, 506, 2165, 2574, 236779, 2181, 236779, 4720, 236779, 236758, 236779, 117129, 3677, 236779, 854, 236779, 33864, 236779, 547, 236929, 5904, 236881, 1174, 5853, 691, 6950, 528, 1116, 13859, 4403, 1208, 506, 12498, 43645, 40434, 236764, 532, 7426, 16441, 1093, 1601, 8913, 1041, 1702, 4313, 607, 1116, 2203, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 12553, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 236761, 4034, 827, 623, 7777, 1083, 623, 2887, 7937, 61931, 573, 12498, 43645, 40434, 2203, 236764, 58442, 12842, 9299, 27347, 532, 36112, 1702, 10498, 623, 6201, 236779, 1201, 1083, 623, 12553, 43645, 40434, 827, 623, 19112, 1083, 11058, 12553, 827, 623, 5920, 236786, 31333, 827, 623, 68105, 827, 623, 44235, 827, 623, 10252, 14255, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4429, 4889, 573, 5213, 11653, 5853, 236787, 12498, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 66515, 108, 7243, 108, 10354, 5213, 11653, 52973, 1018, 107, 236772, 5213, 6738, 66515, 870, 2039, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 12553, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 236761, 4034, 236768, 138, 107, 236772, 5213, 9770, 66515, 138, 107, 138, 71510, 2887, 7937, 61931, 573, 12498, 43645, 40434, 2203, 236764, 58442, 12842, 9299, 27347, 532, 36112, 1702, 1781, 236829, 138, 107, 236772, 5213, 8410, 7343, 66515, 12498, 43645, 40434, 138, 107, 236772, 5213, 29403, 66515, 138, 107, 138, 236772, 12498, 138, 107, 138, 236772, 9711, 236786, 31333, 138, 107, 138, 236772, 43645, 138, 107, 138, 236772, 59825, 138, 107, 138, 236772, 9299, 138, 107, 236772, 5213, 26669, 6809, 66515, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 138, 108, 7243, 108, 10354, 5213, 1479, 113458, 531, 32858, 8943, 236789, 236751, 5490, 1018, 107, 2094, 61931, 100146, 607, 32858, 236858, 236751, 21366, 528, 506, 5213, 12553, 43645, 40434, 1018, 568, 34807, 528, 1116, 3853, 16182, 769, 669, 3213, 580, 5213, 10252, 27347, 1018, 532, 5213, 40575, 1702, 1018, 20756, 2307, 8330, 532, 2430, 236772, 53236, 28304, 573, 506, 2203, 236761, 669, 16616, 3600, 13859, 607, 7974, 68916, 528, 12498, 3797, 236764, 44975, 12434, 236764, 532, 7426, 1702, 236761, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 11327, 4596, 62325, 653, 37386, 3530, 1702, 4820, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 13611, 1694, 529, 784, 5158, 5089, 528, 506, 1458, 236764, 2440, 910, 13616, 532, 2881, 151686, 236761, 3199, 611, 33205, 600, 1938, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 225686, 236771, 236771, 236770, 827, 623, 10602, 236779, 1201, 1083, 623, 85305, 8943, 827, 623, 10639, 1083, 623, 145557, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 25938, 107, 14937, 547, 1083, 623, 225686, 236771, 236771, 236778, 827, 623, 10602, 236779, 1201, 1083, 623, 43930, 11860, 827, 623, 10639, 1083, 623, 2887, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 25938, 107, 14937, 547, 1083, 623, 225686, 236771, 236771, 236800, 827, 623, 10602, 236779, 1201, 1083, 623, 98393, 18248, 827, 623, 10639, 1083, 623, 4961, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 8291, 563, 506, 13611, 1694, 529, 5158, 5089, 528, 506, 1458, 236787, 108, 236770, 236761, 5213, 85305, 8943, 1018, 138, 107, 139, 236772, 5853, 236787, 2590, 236794, 236771, 236771, 236770, 138, 107, 139, 236772, 29722, 236787, 53277, 138, 107, 139, 236772, 11358, 18365, 236787, 23531, 138, 108, 236778, 236761, 5213, 43930, 11860, 1018, 138, 107, 139, 236772, 5853, 236787, 2590, 236794, 236771, 236771, 236778, 138, 107, 139, 236772, 29722, 236787, 7486, 138, 107, 139, 236772, 11358, 18365, 236787, 23531, 138, 108, 236800, 236761, 5213, 98393, 18248, 1018, 138, 107, 139, 236772, 5853, 236787, 2590, 236794, 236771, 236771, 236800, 138, 107, 139, 236772, 29722, 236787, 12062, 138, 107, 139, 236772, 11358, 18365, 236787, 23531, 138, 108, 2094, 1694, 5132, 784, 5158, 5089, 607, 910, 4709, 104026, 236764, 13616, 236764, 532, 2881, 151686, 618, 15633, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107, 105, 2364, 107, 20418, 236764, 7806, 611, 573, 6655, 506, 1694, 529, 5158, 5089, 236761, 564, 236858, 236753, 1133, 531, 30386, 19276, 1131, 886, 529, 506, 5089, 9456, 236761, 1701, 5213, 85305, 8943, 1018, 568, 1735, 236787, 2590, 236794, 236771, 236771, 236770, 779, 1451, 611, 33205, 1116, 2587, 8781, 4889, 532, 2881, 236772, 15396, 1938, 1699, 506, 2165, 23679, 236752, 2364, 236929, 5904, 236881, 564, 236858, 236757, 6412, 7467, 528, 6611, 1116, 3853, 16182, 532, 1027, 4767, 4403, 600, 2473, 1601, 528, 65122, 607, 1116, 11974, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 85305, 8943, 827, 623, 10639, 1083, 623, 51551, 7879, 12062, 827, 623, 53568, 1083, 623, 7163, 8236, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 130233, 236761, 37540, 236940, 25385, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 236772, 236810, 236810, 236810, 236772, 236825, 236832, 236828, 236772, 236819, 236771, 236770, 236778, 23179, 623, 11622, 236779, 13308, 1083, 3714, 4818, 1083, 623, 5034, 827, 623, 7013, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 623, 10639, 236779, 84840, 1083, 3714, 14992, 236779, 40227, 1083, 11058, 7163, 40440, 10765, 827, 623, 31333, 62840, 49826, 14255, 623, 2478, 236779, 207395, 847, 1083, 11058, 80401, 827, 623, 19952, 21942, 14255, 623, 43852, 236779, 26984, 1083, 11058, 12553, 43645, 40434, 827, 623, 18085, 81909, 22113, 152254, 623, 6875, 236779, 23184, 1083, 623, 32663, 73987, 573, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 1698, 75716, 236761, 43782, 616, 82956, 7283, 573, 2203, 12496, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236771, 236771, 236770, 827, 623, 10602, 236779, 1201, 1083, 623, 85305, 8943, 827, 623, 10639, 1083, 623, 51551, 7303, 12062, 827, 623, 11622, 236779, 13308, 1083, 3714, 4818, 1083, 623, 5034, 827, 623, 53568, 1083, 623, 7163, 8236, 827, 623, 12549, 236779, 5909, 1083, 236743, 236800, 236764, 623, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 23179, 623, 13330, 1083, 3714, 6774, 1083, 623, 130233, 236761, 37540, 236940, 25385, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 7125, 1083, 623, 4199, 3773, 71847, 827, 623, 20828, 1083, 623, 34326, 15416, 827, 623, 68925, 1083, 11058, 11834, 7303, 10765, 827, 623, 31333, 75337, 152254, 623, 12886, 99791, 236779, 6875, 1083, 3714, 90412, 236779, 52732, 1083, 623, 233310, 532, 4553, 827, 623, 25421, 236779, 24392, 1083, 623, 236771, 236819, 236787, 236771, 236771, 236772, 236770, 236832, 236787, 236771, 236771, 28524, 827, 623, 43852, 236779, 26984, 1083, 11058, 15376, 4855, 124388, 827, 623, 10252, 43645, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 53880, 8781, 573, 5213, 85305, 8943, 568, 225686, 236771, 236771, 236770, 62902, 2721, 580, 506, 2165, 23679, 236752, 2364, 236929, 5904, 13630, 236787, 108, 7243, 108, 10354, 5213, 33076, 8230, 1018, 107, 236772, 5213, 1567, 66515, 32858, 8943, 138, 107, 236772, 5213, 11919, 66515, 91544, 236761, 37540, 236940, 25385, 236761, 854, 138, 107, 236772, 5213, 9704, 66515, 900, 236770, 236772, 236810, 236810, 236810, 236772, 236825, 236832, 236828, 236772, 236819, 236771, 236770, 236778, 568, 2025, 236768, 965, 900, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 568, 82016, 236768, 138, 107, 236772, 5213, 6375, 66515, 1799, 3773, 71847, 138, 107, 236772, 5213, 23567, 66515, 7303, 8236, 138, 107, 236772, 5213, 4961, 66515, 9877, 15416, 138, 107, 236772, 5213, 62627, 66515, 138, 107, 138, 236772, 17354, 7303, 10765, 138, 107, 138, 236772, 69873, 75337, 138, 107, 138, 236772, 7303, 40440, 10765, 568, 14992, 2080, 236768, 138, 107, 138, 236772, 69873, 62840, 49826, 568, 14992, 2080, 236768, 138, 108, 7243, 108, 10354, 5213, 13169, 20303, 1018, 107, 236772, 5213, 6717, 66515, 23531, 138, 107, 236772, 5213, 22163, 6809, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 107, 236772, 5213, 9008, 22385, 66515, 138, 107, 138, 236772, 5213, 2887, 29520, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236778, 236778, 59528, 138, 107, 138, 236772, 5213, 13169, 20303, 66515, 6198, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236771, 236819, 236787, 236770, 236810, 59528, 138, 107, 138, 16907, 10282, 236787, 3725, 906, 236758, 5710, 528, 99885, 2192, 1149, 10128, 7732, 1262, 7021, 12016, 138, 107, 236772, 5213, 11942, 16575, 66515, 236743, 236800, 138, 108, 7243, 108, 10354, 5213, 21114, 43141, 1018, 107, 236772, 5213, 7396, 236769, 236751, 62902, 236787, 138, 107, 138, 236772, 19563, 7879, 12062, 46260, 2364, 236779, 13330, 12016, 138, 107, 138, 236772, 19563, 7303, 12062, 46260, 11622, 236779, 13308, 12016, 138, 107, 138, 16907, 10282, 236787, 51508, 97592, 528, 3853, 19293, 12016, 138, 107, 236772, 5213, 3503, 40073, 847, 66515, 138, 107, 138, 236772, 12464, 138, 107, 138, 236772, 17438, 21942, 138, 107, 236772, 5213, 47619, 37747, 66515, 138, 107, 138, 236772, 5213, 2887, 29520, 66515, 12498, 43645, 40434, 236764, 11250, 81909, 22113, 138, 107, 138, 236772, 5213, 13169, 20303, 66515, 25396, 4855, 124388, 236764, 9299, 43645, 138, 108, 7243, 108, 10354, 5213, 221528, 17605, 1018, 107, 236772, 5213, 34851, 30021, 66515, 138, 107, 138, 236772, 1773, 63322, 12496, 568, 15218, 82460, 236786, 6774, 236768, 138, 107, 138, 236772, 22211, 35174, 236787, 236743, 236771, 236819, 236787, 236771, 236771, 236964, 236770, 236832, 236787, 236771, 236771, 28524, 138, 107, 236772, 5213, 26253, 66515, 138, 107, 138, 236772, 21264, 73987, 573, 506, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 1698, 75716, 236761, 138, 107, 138, 236772, 22282, 509, 5411, 29972, 528, 2203, 13049, 236761, 138, 108, 7243, 108, 10354, 5213, 4396, 742, 76374, 573, 67653, 1018, 107, 236770, 236761, 5213, 13579, 66515, 30235, 580, 82956, 12496, 8423, 32034, 236764, 618, 1304, 62197, 672, 573, 2203, 81014, 236761, 138, 107, 236778, 236761, 5213, 3637, 66515, 118189, 4071, 236772, 46990, 29176, 568, 80401, 236764, 17438, 21942, 236768, 528, 18701, 236761, 138, 107, 236800, 236761, 5213, 100651, 66515, 27468, 13721, 2351, 1116, 2844, 3885, 568, 9545, 236768, 573, 12567, 89201, 236761, 138, 107, 236812, 236761, 5213, 38098, 66515, 26623, 1116, 21366, 528, 12498, 12434, 532, 4185, 10534, 19898, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 3421, 85373, 528, 506, 1262, 653, 11327, 3530, 4889, 3342, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 8781, 529, 32858, 8943, 236761, 2282, 2480, 3050, 1116, 4803, 981, 236764, 564, 236858, 236753, 1133, 531, 1460, 1027, 7426, 5417, 19240, 531, 1116, 5699, 236761, 28344, 611, 33205, 4429, 4889, 573, 5213, 11653, 5853, 236787, 12498, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 1018, 1699, 506, 2165, 2574, 236779, 2181, 236779, 4720, 236779, 236758, 236779, 117129, 3677, 236779, 854, 236779, 33864, 236779, 547, 236929, 5904, 236881, 1174, 5853, 691, 6950, 528, 1116, 13859, 4403, 1208, 506, 12498, 43645, 40434, 236764, 532, 7426, 16441, 1093, 1601, 8913, 1041, 1702, 4313, 607, 1116, 2203, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 12553, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 236761, 4034, 827, 623, 7777, 1083, 623, 2887, 7937, 61931, 573, 12498, 43645, 40434, 2203, 236764, 58442, 12842, 9299, 27347, 532, 36112, 1702, 10498, 623, 6201, 236779, 1201, 1083, 623, 12553, 43645, 40434, 827, 623, 19112, 1083, 11058, 12553, 827, 623, 5920, 236786, 31333, 827, 623, 68105, 827, 623, 44235, 827, 623, 10252, 14255, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4429, 4889, 573, 5213, 11653, 5853, 236787, 12498, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 66515, 108, 7243, 108, 10354, 5213, 11653, 52973, 1018, 107, 236772, 5213, 6738, 66515, 870, 2039, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 33864, 236786, 12553, 236779, 68105, 236779, 105524, 1280, 236779, 236771, 236771, 236770, 236761, 4034, 236768, 138, 107, 236772, 5213, 9770, 66515, 138, 107, 138, 71510, 2887, 7937, 61931, 573, 12498, 43645, 40434, 2203, 236764, 58442, 12842, 9299, 27347, 532, 36112, 1702, 1781, 236829, 138, 107, 236772, 5213, 8410, 7343, 66515, 12498, 43645, 40434, 138, 107, 236772, 5213, 29403, 66515, 138, 107, 138, 236772, 12498, 138, 107, 138, 236772, 9711, 236786, 31333, 138, 107, 138, 236772, 43645, 138, 107, 138, 236772, 59825, 138, 107, 138, 236772, 9299, 138, 107, 236772, 5213, 26669, 6809, 66515, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 138, 108, 7243, 108, 10354, 5213, 1479, 113458, 531, 32858, 8943, 236789, 236751, 5490, 1018, 107, 2094, 61931, 100146, 607, 32858, 236858, 236751, 21366, 528, 506, 5213, 12553, 43645, 40434, 1018, 568, 34807, 528, 1116, 3853, 16182, 769, 669, 3213, 580, 5213, 10252, 27347, 1018, 532, 5213, 40575, 1702, 1018, 20756, 2307, 8330, 532, 2430, 236772, 53236, 28304, 573, 506, 2203, 236761, 669, 16616, 3600, 13859, 607, 7974, 68916, 528, 12498, 3797, 236764, 44975, 12434, 236764, 532, 7426, 1702, 236761, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 11327, 4596, 62325, 653, 37386, 3530, 1702, 4820, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4610, 1023, 2544, 236789, 236751, 4867, 3797, 531, 1894, 5251, 16788, 607, 1806, 3530, 48234, 236761, 5315, 236764, 1161, 974, 5034, 1643, 23635, 215476, 531, 33205, 506, 1873, 8008, 48234, 236764, 1299, 4071, 236772, 30449, 1091, 2342, 506, 3328, 48234, 692, 1202, 531, 5330, 37031, 573, 16788, 528, 13251, 236764, 506, 2590, 236764, 532, 506, 16152, 13873, 236761, 3792, 786, 1281, 1056, 611, 735, 506, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 11058, 38556, 827, 623, 79271, 827, 623, 20074, 236797, 827, 623, 51360, 827, 623, 142026, 827, 623, 198481, 827, 623, 65742, 99471, 106, 107, 105, 4368, 107, 818, 5158, 15130, 1694, 5132, 784, 1806, 3328, 48234, 3149, 573, 822, 5251, 16788, 236787, 107, 236772, 5213, 38556, 1018, 568, 3118, 46754, 236768, 753, 3640, 4184, 107, 236772, 5213, 79271, 1018, 568, 66574, 236768, 753, 16152, 13873, 107, 236772, 5213, 20074, 236797, 1018, 568, 158333, 134806, 236768, 753, 13251, 108, 3243, 1806, 48234, 659, 3016, 8008, 684, 506, 1458, 236761, 2301, 4767, 15130, 12881, 563, 3149, 573, 37031, 607, 1239, 9576, 236761, 21284, 611, 1133, 1027, 3342, 4889, 1003, 9831, 653, 12562, 10884, 573, 1239, 48234, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4610, 1023, 2544, 236789, 236751, 4867, 3797, 531, 1894, 5251, 16788, 607, 1806, 3530, 48234, 236761, 5315, 236764, 1161, 974, 5034, 1643, 23635, 215476, 531, 33205, 506, 1873, 8008, 48234, 236764, 1299, 4071, 236772, 30449, 1091, 2342, 506, 3328, 48234, 692, 1202, 531, 5330, 37031, 573, 16788, 528, 13251, 236764, 506, 2590, 236764, 532, 506, 16152, 13873, 236761, 3792, 786, 1281, 1056, 611, 735, 506, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 11058, 38556, 827, 623, 79271, 827, 623, 20074, 236797, 827, 623, 51360, 827, 623, 142026, 827, 623, 198481, 827, 623, 65742, 99471, 106, 107, 105, 4368, 107, 818, 5158, 15130, 1694, 5132, 784, 1806, 3328, 48234, 3149, 573, 822, 5251, 16788, 236787, 107, 236772, 5213, 38556, 1018, 568, 3118, 46754, 236768, 753, 3640, 4184, 107, 236772, 5213, 79271, 1018, 568, 66574, 236768, 753, 16152, 13873, 107, 236772, 5213, 20074, 236797, 1018, 568, 158333, 134806, 236768, 753, 13251, 108, 3243, 1806, 48234, 659, 3016, 8008, 684, 506, 1458, 236761, 2301, 4767, 15130, 12881, 563, 3149, 573, 37031, 607, 1239, 9576, 236761, 21284, 611, 1133, 1027, 3342, 4889, 1003, 9831, 653, 12562, 10884, 573, 1239, 48234, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 1873, 90915, 573, 506, 23532, 236881, 564, 1461, 531, 1281, 1217, 506, 107875, 659, 3490, 834, 564, 740, 2731, 1041, 2148, 2290, 3446, 4598, 607, 506, 1447, 2886, 529, 28242, 236888, 564, 236858, 859, 1202, 506, 90915, 531, 3204, 506, 48524, 35719, 2311, 236764, 768, 2653, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 3714, 157775, 1083, 623, 138522, 827, 623, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 1555, 2865, 236779, 12904, 1083, 3714, 235845, 1083, 3714, 58392, 236779, 72923, 1083, 3714, 235845, 7123, 1083, 623, 135046, 62821, 568, 236770, 236800, 236772, 236800, 22730, 623, 235845, 4695, 1083, 623, 135541, 84354, 568, 236770, 236812, 236772, 236778, 22730, 623, 235845, 4257, 1083, 623, 110654, 113265, 568, 236770, 236771, 236772, 236825, 22730, 623, 235845, 4844, 1083, 623, 106053, 4085, 57597, 568, 236770, 236778, 236772, 236812, 16291, 1263, 623, 44363, 236779, 25299, 1083, 11058, 120365, 107875, 568, 236770, 236770, 236772, 236810, 22730, 623, 18939, 13245, 127345, 568, 236770, 236771, 236772, 236825, 236768, 152254, 623, 236797, 11962, 1083, 3714, 58392, 236779, 72923, 1083, 3714, 236797, 11962, 7123, 1083, 623, 104561, 45799, 568, 236770, 236812, 236772, 236778, 22730, 623, 236797, 11962, 4695, 1083, 623, 114476, 41203, 568, 236770, 236800, 236772, 236800, 22730, 623, 236797, 11962, 4257, 1083, 623, 229882, 8036, 158557, 568, 236770, 236770, 236772, 236810, 22730, 623, 236797, 11962, 4844, 1083, 623, 23243, 14322, 236743, 236812, 236819, 616, 568, 236770, 236778, 236772, 236812, 16291, 1263, 623, 44363, 236779, 25299, 1083, 11058, 120384, 74478, 568, 236770, 236771, 236772, 236825, 22730, 623, 17224, 8036, 83482, 568, 236819, 236772, 236832, 236768, 1935, 5237, 623, 236753, 36103, 1365, 236779, 4818, 1083, 3714, 16749, 236779, 19458, 236779, 17789, 1083, 623, 236770, 236770, 236772, 236810, 827, 623, 4002, 236779, 15080, 1083, 236743, 236810, 236764, 623, 1555, 2865, 236779, 87295, 1083, 623, 235845, 13695, 9981, 23117, 236764, 27712, 531, 3392, 22753, 4085, 57597, 528, 173489, 23117, 236775, 19465, 106, 107, 105, 4368, 107, 818, 22403, 107875, 659, 5633, 8116, 657, 5213, 236770, 236770, 236772, 236810, 1018, 528, 506, 236743, 236778, 236771, 236778, 236800, 23532, 3409, 236764, 25847, 5213, 236810, 594, 528, 506, 90715, 84750, 2195, 236858, 560, 18788, 496, 5213, 39678, 9981, 48524, 86776, 1018, 532, 659, 27712, 531, 3392, 506, 5213, 106053, 4085, 57597, 568, 236770, 236778, 236772, 236812, 62902, 528, 506, 90715, 173489, 23117, 768, 901, 10764, 3068, 506, 13695, 9981, 23117, 236761, 236743, 108, 8291, 236858, 236751, 506, 3823, 25890, 236787, 107, 236772, 5213, 235845, 13695, 10183, 66515, 107875, 568, 236770, 236770, 236772, 236810, 236768, 532, 127345, 568, 236770, 236771, 236772, 236825, 769, 107, 236772, 5213, 235845, 7123, 31774, 66515, 37686, 62821, 568, 236770, 236800, 236772, 236800, 769, 107, 236772, 5213, 236796, 36103, 1365, 236858, 13739, 66515, 169931, 531, 1441, 506, 57597, 528, 496, 1494, 236772, 119035, 135264, 529, 910, 63375, 236743, 236778, 236771, 236778, 236800, 76892, 236761, 108, 2866, 531, 2862, 872, 580, 35009, 532, 13290, 872, 573, 496, 48524, 90387, 236888, 236743, 249397, 245668, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2426, 506, 1873, 90915, 573, 506, 23532, 236881, 564, 1461, 531, 1281, 1217, 506, 107875, 659, 3490, 834, 564, 740, 2731, 1041, 2148, 2290, 3446, 4598, 607, 506, 1447, 2886, 529, 28242, 236888, 564, 236858, 859, 1202, 506, 90915, 531, 3204, 506, 48524, 35719, 2311, 236764, 768, 2653, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 3714, 157775, 1083, 623, 138522, 827, 623, 19458, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 1555, 2865, 236779, 12904, 1083, 3714, 235845, 1083, 3714, 58392, 236779, 72923, 1083, 3714, 235845, 7123, 1083, 623, 135046, 62821, 568, 236770, 236800, 236772, 236800, 22730, 623, 235845, 4695, 1083, 623, 135541, 84354, 568, 236770, 236812, 236772, 236778, 22730, 623, 235845, 4257, 1083, 623, 110654, 113265, 568, 236770, 236771, 236772, 236825, 22730, 623, 235845, 4844, 1083, 623, 106053, 4085, 57597, 568, 236770, 236778, 236772, 236812, 16291, 1263, 623, 44363, 236779, 25299, 1083, 11058, 120365, 107875, 568, 236770, 236770, 236772, 236810, 22730, 623, 18939, 13245, 127345, 568, 236770, 236771, 236772, 236825, 236768, 152254, 623, 236797, 11962, 1083, 3714, 58392, 236779, 72923, 1083, 3714, 236797, 11962, 7123, 1083, 623, 104561, 45799, 568, 236770, 236812, 236772, 236778, 22730, 623, 236797, 11962, 4695, 1083, 623, 114476, 41203, 568, 236770, 236800, 236772, 236800, 22730, 623, 236797, 11962, 4257, 1083, 623, 229882, 8036, 158557, 568, 236770, 236770, 236772, 236810, 22730, 623, 236797, 11962, 4844, 1083, 623, 23243, 14322, 236743, 236812, 236819, 616, 568, 236770, 236778, 236772, 236812, 16291, 1263, 623, 44363, 236779, 25299, 1083, 11058, 120384, 74478, 568, 236770, 236771, 236772, 236825, 22730, 623, 17224, 8036, 83482, 568, 236819, 236772, 236832, 236768, 1935, 5237, 623, 236753, 36103, 1365, 236779, 4818, 1083, 3714, 16749, 236779, 19458, 236779, 17789, 1083, 623, 236770, 236770, 236772, 236810, 827, 623, 4002, 236779, 15080, 1083, 236743, 236810, 236764, 623, 1555, 2865, 236779, 87295, 1083, 623, 235845, 13695, 9981, 23117, 236764, 27712, 531, 3392, 22753, 4085, 57597, 528, 173489, 23117, 236775, 19465, 106, 107, 105, 4368, 107, 818, 22403, 107875, 659, 5633, 8116, 657, 5213, 236770, 236770, 236772, 236810, 1018, 528, 506, 236743, 236778, 236771, 236778, 236800, 23532, 3409, 236764, 25847, 5213, 236810, 594, 528, 506, 90715, 84750, 2195, 236858, 560, 18788, 496, 5213, 39678, 9981, 48524, 86776, 1018, 532, 659, 27712, 531, 3392, 506, 5213, 106053, 4085, 57597, 568, 236770, 236778, 236772, 236812, 62902, 528, 506, 90715, 173489, 23117, 768, 901, 10764, 3068, 506, 13695, 9981, 23117, 236761, 236743, 108, 8291, 236858, 236751, 506, 3823, 25890, 236787, 107, 236772, 5213, 235845, 13695, 10183, 66515, 107875, 568, 236770, 236770, 236772, 236810, 236768, 532, 127345, 568, 236770, 236771, 236772, 236825, 769, 107, 236772, 5213, 235845, 7123, 31774, 66515, 37686, 62821, 568, 236770, 236800, 236772, 236800, 769, 107, 236772, 5213, 236796, 36103, 1365, 236858, 13739, 66515, 169931, 531, 1441, 506, 57597, 528, 496, 1494, 236772, 119035, 135264, 529, 910, 63375, 236743, 236778, 236771, 236778, 236800, 76892, 236761, 108, 2866, 531, 2862, 872, 580, 35009, 532, 13290, 872, 573, 496, 48524, 90387, 236888, 236743, 249397, 245668, 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, 2523, 7946, 531, 13251, 4085, 528, 7121, 236743, 236800, 2668, 573, 1023, 7384, 9226, 19138, 236761, 564, 1202, 531, 1281, 506, 7606, 580, 6198, 236743, 236812, 594, 531, 10741, 768, 692, 236789, 859, 2260, 506, 1491, 629, 9124, 28172, 4469, 237028, 3307, 6214, 2765, 4083, 236764, 840, 564, 2810, 236789, 236745, 4652, 1091, 3978, 70811, 236761, 1637, 625, 236789, 236751, 17635, 236764, 564, 236789, 859, 16807, 506, 4469, 2544, 236789, 236751, 4553, 568, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 236768, 531, 1386, 2889, 625, 236789, 236751, 19390, 1680, 15656, 7548, 236761, 5315, 236764, 974, 506, 7606, 14415, 573, 13251, 4085, 573, 506, 2148, 236743, 236832, 2668, 236764, 1299, 2426, 506, 3530, 14415, 573, 6198, 236743, 236812, 594, 236761, 1637, 506, 7606, 563, 17635, 236764, 16807, 506, 4553, 3421, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 85226, 4085, 236764, 13251, 827, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 11480, 1083, 236743, 236778, 236832, 236764, 623, 976, 1083, 236743, 236770, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 11480, 1083, 236743, 236778, 236825, 236764, 623, 976, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 45060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 11480, 1083, 236743, 236778, 236810, 236764, 623, 976, 1083, 236743, 236770, 236810, 236764, 623, 19216, 1083, 623, 21723, 236762, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 11480, 1083, 236743, 236778, 236828, 236764, 623, 976, 1083, 236743, 236770, 236828, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 11480, 1083, 236743, 236778, 236832, 236764, 623, 976, 1083, 236743, 236770, 236832, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 827, 623, 11480, 1083, 236743, 236778, 236825, 236764, 623, 976, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 11480, 1083, 236743, 236778, 236812, 236764, 623, 976, 1083, 236743, 236770, 236810, 236764, 623, 19216, 1083, 623, 45060, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 827, 623, 4818, 1083, 623, 87622, 827, 623, 69040, 236779, 6774, 1083, 623, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 827, 623, 126773, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 7606, 14415, 573, 13251, 4085, 580, 6198, 236743, 236812, 594, 563, 5213, 118538, 1018, 568, 11480, 529, 236743, 236778, 236828, 237366, 236780, 236764, 2708, 529, 236743, 236770, 236828, 237366, 236780, 779, 834, 611, 740, 7162, 607, 22479, 506, 1491, 629, 9124, 28172, 4469, 2180, 7606, 10928, 236761, 138, 108, 818, 4553, 3421, 5213, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 1018, 815, 1010, 27662, 10428, 236787, 138, 107, 236772, 113452, 5213, 183232, 18256, 6915, 1018, 568, 6774, 5941, 563, 5158, 236768, 138, 107, 236772, 113452, 5213, 11919, 563, 4341, 532, 30611, 1018, 138, 108, 3048, 236858, 500, 5508, 531, 5039, 7548, 531, 506, 4469, 2544, 607, 10805, 236761, 30164, 33036, 532, 4059, 506, 9226, 19138, 236888, 236743, 244746, 252432, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2523, 7946, 531, 13251, 4085, 528, 7121, 236743, 236800, 2668, 573, 1023, 7384, 9226, 19138, 236761, 564, 1202, 531, 1281, 506, 7606, 580, 6198, 236743, 236812, 594, 531, 10741, 768, 692, 236789, 859, 2260, 506, 1491, 629, 9124, 28172, 4469, 237028, 3307, 6214, 2765, 4083, 236764, 840, 564, 2810, 236789, 236745, 4652, 1091, 3978, 70811, 236761, 1637, 625, 236789, 236751, 17635, 236764, 564, 236789, 859, 16807, 506, 4469, 2544, 236789, 236751, 4553, 568, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 236768, 531, 1386, 2889, 625, 236789, 236751, 19390, 1680, 15656, 7548, 236761, 5315, 236764, 974, 506, 7606, 14415, 573, 13251, 4085, 573, 506, 2148, 236743, 236832, 2668, 236764, 1299, 2426, 506, 3530, 14415, 573, 6198, 236743, 236812, 594, 236761, 1637, 506, 7606, 563, 17635, 236764, 16807, 506, 4553, 3421, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 85226, 4085, 236764, 13251, 827, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 11480, 1083, 236743, 236778, 236832, 236764, 623, 976, 1083, 236743, 236770, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 11480, 1083, 236743, 236778, 236825, 236764, 623, 976, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 45060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 11480, 1083, 236743, 236778, 236810, 236764, 623, 976, 1083, 236743, 236770, 236810, 236764, 623, 19216, 1083, 623, 21723, 236762, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 11480, 1083, 236743, 236778, 236828, 236764, 623, 976, 1083, 236743, 236770, 236828, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 11480, 1083, 236743, 236778, 236832, 236764, 623, 976, 1083, 236743, 236770, 236832, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 827, 623, 11480, 1083, 236743, 236778, 236825, 236764, 623, 976, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 11480, 1083, 236743, 236778, 236812, 236764, 623, 976, 1083, 236743, 236770, 236810, 236764, 623, 19216, 1083, 623, 45060, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 827, 623, 4818, 1083, 623, 87622, 827, 623, 69040, 236779, 6774, 1083, 623, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 827, 623, 126773, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 7606, 14415, 573, 13251, 4085, 580, 6198, 236743, 236812, 594, 563, 5213, 118538, 1018, 568, 11480, 529, 236743, 236778, 236828, 237366, 236780, 236764, 2708, 529, 236743, 236770, 236828, 237366, 236780, 779, 834, 611, 740, 7162, 607, 22479, 506, 1491, 629, 9124, 28172, 4469, 2180, 7606, 10928, 236761, 138, 108, 818, 4553, 3421, 5213, 236745, 2278, 236940, 236802, 14963, 557, 2278, 236761, 854, 1018, 815, 1010, 27662, 10428, 236787, 138, 107, 236772, 113452, 5213, 183232, 18256, 6915, 1018, 568, 6774, 5941, 563, 5158, 236768, 138, 107, 236772, 113452, 5213, 11919, 563, 4341, 532, 30611, 1018, 138, 108, 3048, 236858, 500, 5508, 531, 5039, 7548, 531, 506, 4469, 2544, 607, 10805, 236761, 30164, 33036, 532, 4059, 506, 9226, 19138, 236888, 236743, 244746, 252432, 238178, 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, 974, 496, 912, 573, 1041, 236743, 236770, 236819, 236825, 236819, 93476, 33654, 24037, 236761, 7989, 496, 2263, 6282, 4688, 4762, 607, 1548, 568, 236832, 236770, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236761, 5315, 236764, 16807, 625, 236789, 236751, 496, 4341, 1548, 532, 9128, 506, 4762, 236789, 236751, 3207, 563, 184053, 236761, 1637, 625, 17507, 855, 236764, 9279, 1041, 1295, 236789, 236751, 178616, 573, 496, 236743, 236770, 236810, 236772, 33432, 7946, 1699, 236743, 236771, 236761, 236810, 39813, 529, 4314, 237028, 5282, 564, 1602, 1774, 2069, 1056, 564, 3939, 531, 506, 4762, 236761, 9187, 607, 506, 5154, 18256, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5275, 1083, 10955, 236770, 236832, 236770, 236812, 236810, 236810, 236810, 236770, 236778, 236800, 236812, 827, 623, 4730, 1083, 1847, 236764, 623, 13319, 1083, 623, 13973, 40971, 827, 623, 3255, 1083, 623, 5635, 827, 623, 82506, 1083, 623, 197088, 48224, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 121321, 1083, 236743, 236800, 236771, 236761, 236771, 236764, 623, 17178, 1083, 236743, 236770, 236810, 236764, 623, 45594, 236779, 231181, 1083, 236743, 236771, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 818, 5154, 1548, 5213, 236769, 236832, 236770, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 1018, 815, 1010, 44526, 618, 5213, 4730, 1018, 532, 10778, 531, 577, 5143, 607, 496, 4762, 528, 5213, 13973, 40971, 236764, 8253, 84750, 236743, 108, 2542, 822, 4803, 236743, 236770, 236810, 236772, 33432, 7946, 1699, 236743, 236771, 236761, 236810, 39813, 529, 4314, 236764, 822, 1295, 236789, 236751, 7611, 9286, 563, 5213, 236800, 236771, 236761, 236771, 178616, 84750, 236743, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 822, 93476, 33654, 24037, 236888, 236743, 245701, 245367, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 974, 496, 912, 573, 1041, 236743, 236770, 236819, 236825, 236819, 93476, 33654, 24037, 236761, 7989, 496, 2263, 6282, 4688, 4762, 607, 1548, 568, 236832, 236770, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236761, 5315, 236764, 16807, 625, 236789, 236751, 496, 4341, 1548, 532, 9128, 506, 4762, 236789, 236751, 3207, 563, 184053, 236761, 1637, 625, 17507, 855, 236764, 9279, 1041, 1295, 236789, 236751, 178616, 573, 496, 236743, 236770, 236810, 236772, 33432, 7946, 1699, 236743, 236771, 236761, 236810, 39813, 529, 4314, 237028, 5282, 564, 1602, 1774, 2069, 1056, 564, 3939, 531, 506, 4762, 236761, 9187, 607, 506, 5154, 18256, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5275, 1083, 10955, 236770, 236832, 236770, 236812, 236810, 236810, 236810, 236770, 236778, 236800, 236812, 827, 623, 4730, 1083, 1847, 236764, 623, 13319, 1083, 623, 13973, 40971, 827, 623, 3255, 1083, 623, 5635, 827, 623, 82506, 1083, 623, 197088, 48224, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 121321, 1083, 236743, 236800, 236771, 236761, 236771, 236764, 623, 17178, 1083, 236743, 236770, 236810, 236764, 623, 45594, 236779, 231181, 1083, 236743, 236771, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 818, 5154, 1548, 5213, 236769, 236832, 236770, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 1018, 815, 1010, 44526, 618, 5213, 4730, 1018, 532, 10778, 531, 577, 5143, 607, 496, 4762, 528, 5213, 13973, 40971, 236764, 8253, 84750, 236743, 108, 2542, 822, 4803, 236743, 236770, 236810, 236772, 33432, 7946, 1699, 236743, 236771, 236761, 236810, 39813, 529, 4314, 236764, 822, 1295, 236789, 236751, 7611, 9286, 563, 5213, 236800, 236771, 236761, 236771, 178616, 84750, 236743, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 822, 93476, 33654, 24037, 236888, 236743, 245701, 245367, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 1679, 1070, 11858, 4668, 10308, 1003, 506, 37813, 529, 639, 7509, 1108, 236789, 236751, 1171, 28375, 2612, 1063, 528, 506, 236743, 236770, 236819, 236778, 236771, 236751, 236761, 3551, 53276, 699, 506, 11858, 7299, 6950, 993, 691, 496, 2563, 6138, 15161, 1913, 1061, 8115, 600, 2506, 7438, 528, 506, 2263, 13009, 236761, 111605, 563, 236764, 564, 1186, 735, 31368, 529, 506, 2255, 808, 236798, 7509, 1108, 11922, 236829, 699, 600, 6933, 528, 1041, 5249, 236761, 28344, 611, 1502, 684, 26231, 1027, 10308, 699, 506, 808, 236798, 7509, 1108, 11922, 236829, 1534, 6027, 236743, 236770, 236819, 236778, 236771, 532, 6384, 236743, 236770, 236819, 236778, 236810, 600, 4928, 623, 1005, 755, 2612, 236775, 653, 623, 110095, 51653, 564, 236858, 560, 1010, 6590, 531, 22435, 1239, 528, 1041, 33563, 840, 10366, 236858, 236745, 1053, 506, 990, 531, 3137, 1343, 191106, 236761, 3792, 786, 1281, 1144, 611, 1586, 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, 1896, 236779, 3041, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 3278, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 6265, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 1896, 236779, 643, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 564, 1603, 614, 21648, 15661, 1003, 506, 15858, 529, 506, 2487, 6436, 236761, 669, 2165, 828, 236779, 12959, 236929, 1292, 564, 21323, 531, 1161, 4038, 236789, 236745, 1894, 6137, 1133, 3433, 21280, 236764, 3927, 27490, 236764, 653, 3738, 35129, 3894, 531, 1061, 1873, 30539, 236761, 1030, 1186, 37574, 496, 2165, 19859, 236929, 7689, 20442, 236775, 693, 236772, 1457, 34841, 653, 211661, 501, 34841, 769, 108, 26479, 672, 26919, 236764, 564, 740, 236789, 236745, 5467, 33205, 506, 3530, 11858, 10308, 611, 236789, 500, 3182, 573, 236761, 3153, 236764, 564, 5840, 17154, 855, 531, 2263, 48531, 236764, 25027, 236764, 653, 11858, 28067, 528, 639, 7509, 1108, 600, 2473, 735, 27750, 5663, 16258, 653, 5177, 48158, 529, 506, 808, 236798, 7509, 1108, 11922, 236829, 699, 600, 6933, 236761, 2195, 1149, 992, 735, 71851, 3797, 653, 191106, 15021, 531, 1601, 29888, 15161, 236772, 10619, 12606, 699, 506, 236743, 236770, 236819, 236778, 236771, 236751, 236761, 21284, 611, 1133, 1601, 114521, 9302, 2958, 11298, 236881, 106, 107, 105, 2364, 107, 236777, 57428, 573, 506, 6517, 19381, 236761, 3792, 786, 6253, 1041, 4313, 236761, 5612, 506, 2165, 828, 236779, 12959, 236929, 5904, 1186, 37574, 496, 5192, 7689, 236764, 564, 236789, 859, 1171, 33205, 784, 2487, 5422, 10308, 531, 24473, 3927, 573, 7798, 3004, 236761, 5978, 672, 1996, 563, 2344, 18997, 236764, 625, 1149, 2036, 3761, 11858, 8735, 236761, 3792, 786, 2426, 768, 1027, 10308, 528, 506, 2870, 4668, 4387, 4928, 639, 7509, 1108, 236789, 236751, 28375, 3956, 653, 6138, 29646, 1913, 600, 6933, 236761, 31608, 13205, 236779, 3970, 974, 236779, 12959, 236769, 19859, 718, 501, 1373, 31608, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 2067, 755, 13106, 81296, 189533, 639, 7509, 1108, 236789, 236751, 39949, 827, 623, 6265, 1083, 623, 236798, 7509, 1108, 11922, 34641, 40187, 827, 623, 1896, 1083, 623, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236778, 827, 623, 3955, 1083, 623, 236798, 7509, 1108, 236789, 236751, 1171, 28375, 2612, 19015, 607, 236743, 236810, 236771, 236771, 7683, 236764, 36996, 496, 63193, 8633, 699, 17861, 531, 3956, 236761, 669, 10056, 15638, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 15844, 529, 9130, 16789, 221476, 3714, 3250, 1083, 623, 21999, 39049, 78346, 531, 74122, 7178, 125647, 182079, 827, 623, 6265, 1083, 623, 236798, 7509, 1108, 11922, 34641, 40187, 827, 623, 1896, 1083, 623, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 3955, 1083, 623, 25221, 1806, 2668, 529, 28125, 236764, 236743, 236812, 236771, 236771, 28375, 7683, 3727, 855, 29455, 5888, 15880, 236761, 8813, 9139, 506, 15161, 756, 602, 236765, 10920, 524, 38484, 7085, 23179, 3714, 3250, 1083, 623, 2067, 755, 74122, 2358, 1826, 20687, 13444, 827, 623, 6265, 1083, 623, 236798, 7509, 1108, 11922, 34641, 40187, 827, 623, 1896, 1083, 623, 236770, 236819, 236778, 236770, 236772, 236771, 236819, 236772, 236771, 236778, 827, 623, 3955, 1083, 623, 12504, 9534, 7880, 5121, 618, 7683, 11450, 6195, 236743, 236828, 236908, 22434, 3553, 236761, 13106, 6675, 4595, 657, 236743, 236778, 236771, 236908, 6541, 1913, 14335, 6138, 127623, 1781, 165075, 106, 107, 105, 4368, 107, 236777, 1765, 1806, 7798, 11858, 10308, 699, 506, 808, 236798, 7509, 1108, 11922, 34641, 40187, 236829, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 236775, 2067, 755, 13106, 81296, 189533, 639, 7509, 1108, 236789, 236751, 39949, 236775, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236778, 138, 107, 139, 236829, 4795, 149681, 20303, 506, 8115, 529, 639, 7509, 1108, 236789, 236751, 1171, 28375, 2612, 607, 236743, 236810, 236771, 236771, 7683, 236764, 36996, 496, 8633, 699, 17861, 531, 3956, 236761, 669, 2612, 6095, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 15844, 529, 9130, 16789, 236761, 108, 236778, 236761, 5213, 236775, 21999, 39049, 78346, 531, 74122, 7178, 125647, 182079, 236775, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236810, 138, 107, 139, 236829, 4795, 149681, 27708, 580, 496, 15161, 13803, 236743, 236812, 236771, 236771, 7683, 29455, 5888, 23885, 236764, 607, 3997, 116238, 625, 618, 614, 623, 602, 236765, 10920, 524, 38484, 1781, 108, 236800, 236761, 5213, 236775, 2067, 755, 74122, 2358, 1826, 20687, 13444, 236775, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236770, 236819, 236778, 236770, 236772, 236771, 236819, 236772, 236771, 236778, 138, 107, 139, 236829, 4795, 149681, 204165, 8428, 73024, 7880, 532, 506, 15161, 236789, 236751, 4100, 236764, 9542, 2612, 6675, 657, 236743, 236778, 236771, 236908, 6541, 236761, 108, 9208, 10308, 5467, 3421, 1800, 506, 37813, 529, 506, 2612, 532, 506, 6138, 15161, 236761, 21284, 611, 1133, 1601, 39983, 653, 35447, 1239, 9413, 528, 822, 33563, 236881, 564, 740, 992, 6361, 607, 4767, 2958, 11298, 768, 4354, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 1679, 1070, 11858, 4668, 10308, 1003, 506, 37813, 529, 639, 7509, 1108, 236789, 236751, 1171, 28375, 2612, 1063, 528, 506, 236743, 236770, 236819, 236778, 236771, 236751, 236761, 3551, 53276, 699, 506, 11858, 7299, 6950, 993, 691, 496, 2563, 6138, 15161, 1913, 1061, 8115, 600, 2506, 7438, 528, 506, 2263, 13009, 236761, 111605, 563, 236764, 564, 1186, 735, 31368, 529, 506, 2255, 808, 236798, 7509, 1108, 11922, 236829, 699, 600, 6933, 528, 1041, 5249, 236761, 28344, 611, 1502, 684, 26231, 1027, 10308, 699, 506, 808, 236798, 7509, 1108, 11922, 236829, 1534, 6027, 236743, 236770, 236819, 236778, 236771, 532, 6384, 236743, 236770, 236819, 236778, 236810, 600, 4928, 623, 1005, 755, 2612, 236775, 653, 623, 110095, 51653, 564, 236858, 560, 1010, 6590, 531, 22435, 1239, 528, 1041, 33563, 840, 10366, 236858, 236745, 1053, 506, 990, 531, 3137, 1343, 191106, 236761, 3792, 786, 1281, 1144, 611, 1586, 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, 1896, 236779, 3041, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 3278, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 6265, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 1896, 236779, 643, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 564, 1603, 614, 21648, 15661, 1003, 506, 15858, 529, 506, 2487, 6436, 236761, 669, 2165, 828, 236779, 12959, 236929, 1292, 564, 21323, 531, 1161, 4038, 236789, 236745, 1894, 6137, 1133, 3433, 21280, 236764, 3927, 27490, 236764, 653, 3738, 35129, 3894, 531, 1061, 1873, 30539, 236761, 1030, 1186, 37574, 496, 2165, 19859, 236929, 7689, 20442, 236775, 693, 236772, 1457, 34841, 653, 211661, 501, 34841, 769, 108, 26479, 672, 26919, 236764, 564, 740, 236789, 236745, 5467, 33205, 506, 3530, 11858, 10308, 611, 236789, 500, 3182, 573, 236761, 3153, 236764, 564, 5840, 17154, 855, 531, 2263, 48531, 236764, 25027, 236764, 653, 11858, 28067, 528, 639, 7509, 1108, 600, 2473, 735, 27750, 5663, 16258, 653, 5177, 48158, 529, 506, 808, 236798, 7509, 1108, 11922, 236829, 699, 600, 6933, 236761, 2195, 1149, 992, 735, 71851, 3797, 653, 191106, 15021, 531, 1601, 29888, 15161, 236772, 10619, 12606, 699, 506, 236743, 236770, 236819, 236778, 236771, 236751, 236761, 21284, 611, 1133, 1601, 114521, 9302, 2958, 11298, 236881, 106, 107, 105, 2364, 107, 236777, 57428, 573, 506, 6517, 19381, 236761, 3792, 786, 6253, 1041, 4313, 236761, 5612, 506, 2165, 828, 236779, 12959, 236929, 5904, 1186, 37574, 496, 5192, 7689, 236764, 564, 236789, 859, 1171, 33205, 784, 2487, 5422, 10308, 531, 24473, 3927, 573, 7798, 3004, 236761, 5978, 672, 1996, 563, 2344, 18997, 236764, 625, 1149, 2036, 3761, 11858, 8735, 236761, 3792, 786, 2426, 768, 1027, 10308, 528, 506, 2870, 4668, 4387, 4928, 639, 7509, 1108, 236789, 236751, 28375, 3956, 653, 6138, 29646, 1913, 600, 6933, 236761, 31608, 13205, 236779, 3970, 974, 236779, 12959, 236769, 19859, 718, 501, 1373, 31608, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 2067, 755, 13106, 81296, 189533, 639, 7509, 1108, 236789, 236751, 39949, 827, 623, 6265, 1083, 623, 236798, 7509, 1108, 11922, 34641, 40187, 827, 623, 1896, 1083, 623, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236778, 827, 623, 3955, 1083, 623, 236798, 7509, 1108, 236789, 236751, 1171, 28375, 2612, 19015, 607, 236743, 236810, 236771, 236771, 7683, 236764, 36996, 496, 63193, 8633, 699, 17861, 531, 3956, 236761, 669, 10056, 15638, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 15844, 529, 9130, 16789, 221476, 3714, 3250, 1083, 623, 21999, 39049, 78346, 531, 74122, 7178, 125647, 182079, 827, 623, 6265, 1083, 623, 236798, 7509, 1108, 11922, 34641, 40187, 827, 623, 1896, 1083, 623, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 3955, 1083, 623, 25221, 1806, 2668, 529, 28125, 236764, 236743, 236812, 236771, 236771, 28375, 7683, 3727, 855, 29455, 5888, 15880, 236761, 8813, 9139, 506, 15161, 756, 602, 236765, 10920, 524, 38484, 7085, 23179, 3714, 3250, 1083, 623, 2067, 755, 74122, 2358, 1826, 20687, 13444, 827, 623, 6265, 1083, 623, 236798, 7509, 1108, 11922, 34641, 40187, 827, 623, 1896, 1083, 623, 236770, 236819, 236778, 236770, 236772, 236771, 236819, 236772, 236771, 236778, 827, 623, 3955, 1083, 623, 12504, 9534, 7880, 5121, 618, 7683, 11450, 6195, 236743, 236828, 236908, 22434, 3553, 236761, 13106, 6675, 4595, 657, 236743, 236778, 236771, 236908, 6541, 1913, 14335, 6138, 127623, 1781, 165075, 106, 107, 105, 4368, 107, 236777, 1765, 1806, 7798, 11858, 10308, 699, 506, 808, 236798, 7509, 1108, 11922, 34641, 40187, 236829, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 236775, 2067, 755, 13106, 81296, 189533, 639, 7509, 1108, 236789, 236751, 39949, 236775, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236778, 138, 107, 139, 236829, 4795, 149681, 20303, 506, 8115, 529, 639, 7509, 1108, 236789, 236751, 1171, 28375, 2612, 607, 236743, 236810, 236771, 236771, 7683, 236764, 36996, 496, 8633, 699, 17861, 531, 3956, 236761, 669, 2612, 6095, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 15844, 529, 9130, 16789, 236761, 108, 236778, 236761, 5213, 236775, 21999, 39049, 78346, 531, 74122, 7178, 125647, 182079, 236775, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236770, 236819, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236810, 138, 107, 139, 236829, 4795, 149681, 27708, 580, 496, 15161, 13803, 236743, 236812, 236771, 236771, 7683, 29455, 5888, 23885, 236764, 607, 3997, 116238, 625, 618, 614, 623, 602, 236765, 10920, 524, 38484, 1781, 108, 236800, 236761, 5213, 236775, 2067, 755, 74122, 2358, 1826, 20687, 13444, 236775, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236770, 236819, 236778, 236770, 236772, 236771, 236819, 236772, 236771, 236778, 138, 107, 139, 236829, 4795, 149681, 204165, 8428, 73024, 7880, 532, 506, 15161, 236789, 236751, 4100, 236764, 9542, 2612, 6675, 657, 236743, 236778, 236771, 236908, 6541, 236761, 108, 9208, 10308, 5467, 3421, 1800, 506, 37813, 529, 506, 2612, 532, 506, 6138, 15161, 236761, 21284, 611, 1133, 1601, 39983, 653, 35447, 1239, 9413, 528, 822, 33563, 236881, 564, 740, 992, 6361, 607, 4767, 2958, 11298, 768, 4354, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 11048, 580, 26135, 9226, 23060, 7088, 573, 496, 9232, 236764, 532, 564, 1202, 1601, 21558, 3530, 70836, 528, 1041, 4301, 6704, 699, 160724, 532, 13251, 4085, 236761, 3574, 611, 735, 2802, 531, 4681, 600, 740, 15256, 10969, 70836, 653, 11858, 7088, 236881, 564, 236789, 236757, 6412, 7467, 528, 94147, 1534, 1491, 44391, 1050, 45102, 1133, 25137, 27285, 3238, 532, 29785, 51338, 7088, 1133, 12911, 2149, 528, 1041, 4876, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11245, 1083, 11058, 105183, 665, 236779, 110746, 827, 623, 213282, 236779, 110746, 14255, 623, 13308, 1083, 3714, 213282, 236779, 110746, 1083, 3714, 7777, 1083, 623, 14911, 11427, 24786, 70836, 532, 11858, 7088, 27768, 236764, 2440, 151318, 40956, 71283, 7088, 1133, 25137, 27285, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 532, 12911, 2149, 10498, 623, 28611, 1083, 623, 13238, 10805, 528, 94147, 1534, 3361, 11858, 7088, 1056, 3582, 31035, 4065, 659, 11325, 236775, 19465, 106, 107, 105, 4368, 107, 818, 5213, 213282, 236779, 110746, 1018, 2028, 563, 1388, 236772, 135717, 573, 822, 3548, 236888, 1030, 740, 8701, 532, 45426, 1534, 10969, 70836, 236764, 2440, 1491, 44391, 1050, 7088, 1133, 5213, 119392, 27285, 3238, 1018, 532, 29785, 51338, 7088, 1133, 5213, 40348, 2149, 125546, 3847, 506, 4876, 12203, 9245, 31035, 4065, 568, 236744, 236761, 236759, 1126, 25137, 27285, 3238, 236789, 236751, 101683, 532, 12911, 2149, 236789, 236751, 52996, 213688, 769, 236743, 108, 2542, 1791, 2536, 236764, 5330, 822, 6704, 236787, 107, 236772, 8754, 3582, 236764, 209713, 8208, 529, 2307, 9108, 236761, 107, 236772, 12213, 58344, 4820, 568, 236744, 236761, 236759, 1126, 70295, 236764, 4709, 163977, 236768, 531, 11278, 29482, 236761, 108, 38786, 611, 1133, 531, 1594, 672, 607, 3530, 4876, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 11048, 580, 26135, 9226, 23060, 7088, 573, 496, 9232, 236764, 532, 564, 1202, 1601, 21558, 3530, 70836, 528, 1041, 4301, 6704, 699, 160724, 532, 13251, 4085, 236761, 3574, 611, 735, 2802, 531, 4681, 600, 740, 15256, 10969, 70836, 653, 11858, 7088, 236881, 564, 236789, 236757, 6412, 7467, 528, 94147, 1534, 1491, 44391, 1050, 45102, 1133, 25137, 27285, 3238, 532, 29785, 51338, 7088, 1133, 12911, 2149, 528, 1041, 4876, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11245, 1083, 11058, 105183, 665, 236779, 110746, 827, 623, 213282, 236779, 110746, 14255, 623, 13308, 1083, 3714, 213282, 236779, 110746, 1083, 3714, 7777, 1083, 623, 14911, 11427, 24786, 70836, 532, 11858, 7088, 27768, 236764, 2440, 151318, 40956, 71283, 7088, 1133, 25137, 27285, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 532, 12911, 2149, 10498, 623, 28611, 1083, 623, 13238, 10805, 528, 94147, 1534, 3361, 11858, 7088, 1056, 3582, 31035, 4065, 659, 11325, 236775, 19465, 106, 107, 105, 4368, 107, 818, 5213, 213282, 236779, 110746, 1018, 2028, 563, 1388, 236772, 135717, 573, 822, 3548, 236888, 1030, 740, 8701, 532, 45426, 1534, 10969, 70836, 236764, 2440, 1491, 44391, 1050, 7088, 1133, 5213, 119392, 27285, 3238, 1018, 532, 29785, 51338, 7088, 1133, 5213, 40348, 2149, 125546, 3847, 506, 4876, 12203, 9245, 31035, 4065, 568, 236744, 236761, 236759, 1126, 25137, 27285, 3238, 236789, 236751, 101683, 532, 12911, 2149, 236789, 236751, 52996, 213688, 769, 236743, 108, 2542, 1791, 2536, 236764, 5330, 822, 6704, 236787, 107, 236772, 8754, 3582, 236764, 209713, 8208, 529, 2307, 9108, 236761, 107, 236772, 12213, 58344, 4820, 568, 236744, 236761, 236759, 1126, 70295, 236764, 4709, 163977, 236768, 531, 11278, 29482, 236761, 108, 38786, 611, 1133, 531, 1594, 672, 607, 3530, 4876, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 4875, 531, 2619, 496, 861, 53871, 2881, 573, 1041, 58775, 37999, 236761, 564, 1202, 496, 15345, 600, 236789, 236751, 2487, 237028, 44784, 600, 22136, 1041, 26135, 23060, 532, 2765, 573, 9813, 100068, 236761, 5315, 236764, 8729, 496, 4940, 15345, 573, 786, 1699, 506, 8729, 236779, 7513, 236779, 11668, 5904, 236761, 4298, 236764, 2426, 768, 600, 15345, 7519, 684, 11687, 974, 236779, 2364, 236779, 62878, 607, 625, 236761, 1637, 625, 7623, 614, 3165, 568, 59603, 506, 2881, 5889, 236789, 236745, 3523, 779, 692, 236789, 859, 1161, 625, 236761, 1637, 625, 3831, 31713, 236764, 8729, 496, 861, 15345, 532, 2426, 1570, 3097, 692, 1586, 886, 600, 236789, 236751, 2196, 236761, 3792, 236789, 236751, 776, 672, 2918, 684, 2918, 237028, 236777, 1537, 236789, 236745, 1461, 531, 8321, 990, 580, 3523, 5618, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 132970, 236819, 236751, 236791, 236809, 236832, 236750, 196009, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 4348, 7989, 827, 623, 4375, 1083, 623, 2887, 711, 1765, 236787, 225391, 236819, 236751, 236791, 236809, 236832, 236750, 196009, 25938, 106, 107, 105, 4368, 107, 818, 15345, 5213, 132970, 236819, 236751, 236791, 236809, 236832, 236750, 196009, 1018, 563, 2487, 236888, 204906, 138, 107, 10081, 506, 2165, 828, 236779, 2364, 236779, 62878, 236929, 3072, 8323, 496, 623, 4348, 7989, 236775, 3165, 236764, 672, 15345, 563, 2196, 532, 5508, 531, 1161, 236761, 1030, 22136, 822, 26135, 23060, 568, 15218, 506, 623, 132970, 236775, 108269, 573, 13251, 236768, 532, 815, 496, 9578, 236764, 4532, 2597, 600, 100146, 607, 822, 58775, 37999, 236761, 138, 108, 38786, 611, 1133, 531, 7162, 607, 672, 15345, 573, 822, 861, 53871, 2881, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 4875, 531, 2619, 496, 861, 53871, 2881, 573, 1041, 58775, 37999, 236761, 564, 1202, 496, 15345, 600, 236789, 236751, 2487, 237028, 44784, 600, 22136, 1041, 26135, 23060, 532, 2765, 573, 9813, 100068, 236761, 5315, 236764, 8729, 496, 4940, 15345, 573, 786, 1699, 506, 8729, 236779, 7513, 236779, 11668, 5904, 236761, 4298, 236764, 2426, 768, 600, 15345, 7519, 684, 11687, 974, 236779, 2364, 236779, 62878, 607, 625, 236761, 1637, 625, 7623, 614, 3165, 568, 59603, 506, 2881, 5889, 236789, 236745, 3523, 779, 692, 236789, 859, 1161, 625, 236761, 1637, 625, 3831, 31713, 236764, 8729, 496, 861, 15345, 532, 2426, 1570, 3097, 692, 1586, 886, 600, 236789, 236751, 2196, 236761, 3792, 236789, 236751, 776, 672, 2918, 684, 2918, 237028, 236777, 1537, 236789, 236745, 1461, 531, 8321, 990, 580, 3523, 5618, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 132970, 236819, 236751, 236791, 236809, 236832, 236750, 196009, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 4348, 7989, 827, 623, 4375, 1083, 623, 2887, 711, 1765, 236787, 225391, 236819, 236751, 236791, 236809, 236832, 236750, 196009, 25938, 106, 107, 105, 4368, 107, 818, 15345, 5213, 132970, 236819, 236751, 236791, 236809, 236832, 236750, 196009, 1018, 563, 2487, 236888, 204906, 138, 107, 10081, 506, 2165, 828, 236779, 2364, 236779, 62878, 236929, 3072, 8323, 496, 623, 4348, 7989, 236775, 3165, 236764, 672, 15345, 563, 2196, 532, 5508, 531, 1161, 236761, 1030, 22136, 822, 26135, 23060, 568, 15218, 506, 623, 132970, 236775, 108269, 573, 13251, 236768, 532, 815, 496, 9578, 236764, 4532, 2597, 600, 100146, 607, 822, 58775, 37999, 236761, 138, 108, 38786, 611, 1133, 531, 7162, 607, 672, 15345, 573, 822, 861, 53871, 2881, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236761, 564, 236789, 236757, 6995, 496, 75693, 657, 506, 10219, 122857, 9055, 573, 1041, 99162, 7946, 236761, 5315, 236764, 564, 1202, 531, 1586, 910, 2148, 32286, 2460, 531, 974, 3662, 8283, 236761, 6890, 3927, 236779, 18582, 531, 1385, 573, 623, 200729, 2460, 236775, 528, 26057, 236764, 10916, 657, 506, 10219, 122857, 9055, 236761, 1637, 506, 2460, 4889, 3204, 496, 3662, 4553, 236764, 16807, 625, 236761, 1637, 951, 4553, 563, 9456, 236764, 1161, 133313, 236779, 40227, 236779, 37223, 531, 3927, 76891, 573, 623, 17449, 122857, 9055, 26057, 3662, 4553, 236775, 532, 1299, 16807, 506, 4553, 699, 506, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 37469, 236779, 236819, 236812, 236810, 827, 623, 1201, 1083, 623, 236814, 165323, 44795, 9642, 57710, 15895, 827, 623, 6109, 1083, 623, 17449, 122857, 9055, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 11607, 236779, 6774, 1083, 623, 18582, 236940, 2265, 746, 10357, 709, 236761, 854, 827, 623, 7777, 1083, 623, 68051, 75693, 11584, 99162, 9226, 19898, 607, 3892, 32286, 19575, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 18582, 236940, 2265, 746, 10357, 709, 236761, 854, 827, 623, 4818, 1083, 623, 87622, 827, 623, 126773, 236779, 4256, 1083, 623, 77951, 25938, 106, 107, 105, 4368, 107, 818, 99162, 44795, 9642, 57710, 15895, 657, 506, 10219, 122857, 9055, 563, 14812, 573, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 657, 236743, 236828, 236787, 236771, 236771, 8711, 236761, 669, 3662, 4553, 5213, 18582, 236940, 2265, 746, 10357, 709, 236761, 854, 1018, 815, 1010, 10428, 27662, 568, 183232, 2426, 6915, 769, 1599, 740, 5370, 855, 5467, 531, 672, 4553, 573, 75693, 26937, 4889, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236761, 564, 236789, 236757, 6995, 496, 75693, 657, 506, 10219, 122857, 9055, 573, 1041, 99162, 7946, 236761, 5315, 236764, 564, 1202, 531, 1586, 910, 2148, 32286, 2460, 531, 974, 3662, 8283, 236761, 6890, 3927, 236779, 18582, 531, 1385, 573, 623, 200729, 2460, 236775, 528, 26057, 236764, 10916, 657, 506, 10219, 122857, 9055, 236761, 1637, 506, 2460, 4889, 3204, 496, 3662, 4553, 236764, 16807, 625, 236761, 1637, 951, 4553, 563, 9456, 236764, 1161, 133313, 236779, 40227, 236779, 37223, 531, 3927, 76891, 573, 623, 17449, 122857, 9055, 26057, 3662, 4553, 236775, 532, 1299, 16807, 506, 4553, 699, 506, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 37469, 236779, 236819, 236812, 236810, 827, 623, 1201, 1083, 623, 236814, 165323, 44795, 9642, 57710, 15895, 827, 623, 6109, 1083, 623, 17449, 122857, 9055, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 11607, 236779, 6774, 1083, 623, 18582, 236940, 2265, 746, 10357, 709, 236761, 854, 827, 623, 7777, 1083, 623, 68051, 75693, 11584, 99162, 9226, 19898, 607, 3892, 32286, 19575, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 18582, 236940, 2265, 746, 10357, 709, 236761, 854, 827, 623, 4818, 1083, 623, 87622, 827, 623, 126773, 236779, 4256, 1083, 623, 77951, 25938, 106, 107, 105, 4368, 107, 818, 99162, 44795, 9642, 57710, 15895, 657, 506, 10219, 122857, 9055, 563, 14812, 573, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 657, 236743, 236828, 236787, 236771, 236771, 8711, 236761, 669, 3662, 4553, 5213, 18582, 236940, 2265, 746, 10357, 709, 236761, 854, 1018, 815, 1010, 10428, 27662, 568, 183232, 2426, 6915, 769, 1599, 740, 5370, 855, 5467, 531, 672, 4553, 573, 75693, 26937, 4889, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 1601, 786, 1586, 496, 2263, 2028, 236772, 21125, 2299, 580, 2777, 4009, 236761, 5315, 236764, 2426, 506, 8781, 529, 623, 213900, 3301, 236814, 13990, 1954, 236775, 531, 1460, 768, 901, 4928, 1027, 2028, 236772, 21125, 4749, 236761, 1637, 910, 12780, 15852, 3295, 236764, 4351, 886, 657, 4940, 532, 2426, 910, 8781, 2148, 236761, 1637, 901, 1537, 236789, 236745, 4928, 2028, 236772, 21125, 236764, 1385, 573, 506, 1346, 4803, 1868, 56188, 607, 997, 4968, 36161, 11319, 532, 2426, 506, 9827, 236789, 236751, 15345, 236761, 8708, 1063, 607, 506, 1346, 5158, 2299, 4374, 236789, 236751, 3662, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 213900, 3301, 236814, 13990, 1954, 827, 623, 36627, 1083, 623, 101068, 2028, 236772, 21125, 48030, 528, 11404, 236888, 40502, 2874, 11303, 236764, 5689, 10595, 236764, 532, 31877, 5699, 236761, 7179, 69700, 12714, 573, 2460, 30916, 532, 4374, 195221, 10498, 623, 113978, 236779, 2861, 1083, 236743, 236778, 236812, 236832, 236828, 236764, 623, 71524, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 2153, 236779, 13692, 236779, 29263, 1083, 3714, 6725, 236779, 22487, 1083, 236743, 236800, 236812, 236778, 236764, 623, 28128, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236828, 236778, 236764, 623, 43852, 236779, 137112, 4073, 1083, 11058, 236865, 4968, 36161, 11319, 827, 13659, 15098, 205489, 827, 13659, 213900, 3301, 46640, 152254, 623, 43852, 236779, 22487, 1083, 78493, 21151, 1083, 623, 22163, 775, 672, 8224, 573, 1023, 7384, 9483, 57034, 236888, 9617, 7234, 607, 29201, 1771, 531, 2263, 56241, 6607, 236761, 997, 4968, 36161, 11319, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 21151, 1083, 623, 22057, 41047, 236787, 1392, 4968, 8493, 50726, 236888, 7179, 1116, 8781, 573, 7646, 100445, 13558, 28402, 532, 16038, 18669, 4889, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 89691, 236779, 22487, 1083, 78493, 21151, 1083, 623, 236778, 236771, 236778, 236810, 12209, 30467, 236787, 5261, 34556, 1048, 753, 236743, 236800, 236786, 236778, 236800, 236764, 5365, 41157, 753, 236743, 236812, 236786, 236778, 236771, 997, 4968, 36161, 11319, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236770, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 4968, 8493, 50726, 827, 623, 36627, 1083, 623, 8653, 84242, 1003, 2028, 3788, 236764, 4285, 13558, 532, 9371, 236761, 16091, 529, 139182, 3301, 236814, 13990, 1954, 236761, 22177, 573, 11221, 532, 2460, 12496, 41218, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 71524, 236779, 2861, 1083, 236743, 236800, 236771, 236771, 236764, 623, 2153, 236779, 13692, 236779, 29263, 1083, 3714, 22487, 1083, 236743, 236778, 236810, 236771, 236764, 623, 56652, 236779, 55696, 1083, 236743, 236828, 236771, 236771, 236771, 236764, 623, 26329, 236779, 55696, 1083, 236743, 236770, 236810, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 818, 1346, 5158, 2299, 4374, 8385, 563, 5213, 4968, 8493, 50726, 125546, 496, 4374, 529, 139182, 3301, 236814, 13990, 1954, 236761, 5978, 1116, 8781, 1677, 711, 25010, 1694, 3662, 4889, 236764, 1116, 2777, 4009, 4588, 532, 15154, 3600, 1304, 563, 496, 2307, 32571, 236761, 2282, 3371, 607, 1116, 236764, 611, 740, 5370, 855, 4323, 1116, 2777, 4009, 8781, 5467, 236761, 236743, 108, 2542, 25898, 2299, 4749, 236764, 139182, 3301, 236814, 13990, 1954, 20472, 16789, 2874, 11303, 532, 7384, 8470, 568, 236744, 236761, 236759, 1126, 506, 5261, 34556, 1048, 580, 236743, 236800, 236786, 236778, 236800, 532, 5365, 41157, 580, 236743, 236812, 236786, 236778, 236771, 769, 1701, 1982, 3662, 236764, 1966, 39389, 139182, 3301, 236814, 13990, 1954, 653, 21667, 886, 529, 910, 4749, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 1601, 786, 1586, 496, 2263, 2028, 236772, 21125, 2299, 580, 2777, 4009, 236761, 5315, 236764, 2426, 506, 8781, 529, 623, 213900, 3301, 236814, 13990, 1954, 236775, 531, 1460, 768, 901, 4928, 1027, 2028, 236772, 21125, 4749, 236761, 1637, 910, 12780, 15852, 3295, 236764, 4351, 886, 657, 4940, 532, 2426, 910, 8781, 2148, 236761, 1637, 901, 1537, 236789, 236745, 4928, 2028, 236772, 21125, 236764, 1385, 573, 506, 1346, 4803, 1868, 56188, 607, 997, 4968, 36161, 11319, 532, 2426, 506, 9827, 236789, 236751, 15345, 236761, 8708, 1063, 607, 506, 1346, 5158, 2299, 4374, 236789, 236751, 3662, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 213900, 3301, 236814, 13990, 1954, 827, 623, 36627, 1083, 623, 101068, 2028, 236772, 21125, 48030, 528, 11404, 236888, 40502, 2874, 11303, 236764, 5689, 10595, 236764, 532, 31877, 5699, 236761, 7179, 69700, 12714, 573, 2460, 30916, 532, 4374, 195221, 10498, 623, 113978, 236779, 2861, 1083, 236743, 236778, 236812, 236832, 236828, 236764, 623, 71524, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 2153, 236779, 13692, 236779, 29263, 1083, 3714, 6725, 236779, 22487, 1083, 236743, 236800, 236812, 236778, 236764, 623, 28128, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236828, 236778, 236764, 623, 43852, 236779, 137112, 4073, 1083, 11058, 236865, 4968, 36161, 11319, 827, 13659, 15098, 205489, 827, 13659, 213900, 3301, 46640, 152254, 623, 43852, 236779, 22487, 1083, 78493, 21151, 1083, 623, 22163, 775, 672, 8224, 573, 1023, 7384, 9483, 57034, 236888, 9617, 7234, 607, 29201, 1771, 531, 2263, 56241, 6607, 236761, 997, 4968, 36161, 11319, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 21151, 1083, 623, 22057, 41047, 236787, 1392, 4968, 8493, 50726, 236888, 7179, 1116, 8781, 573, 7646, 100445, 13558, 28402, 532, 16038, 18669, 4889, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 89691, 236779, 22487, 1083, 78493, 21151, 1083, 623, 236778, 236771, 236778, 236810, 12209, 30467, 236787, 5261, 34556, 1048, 753, 236743, 236800, 236786, 236778, 236800, 236764, 5365, 41157, 753, 236743, 236812, 236786, 236778, 236771, 997, 4968, 36161, 11319, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236770, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 4968, 8493, 50726, 827, 623, 36627, 1083, 623, 8653, 84242, 1003, 2028, 3788, 236764, 4285, 13558, 532, 9371, 236761, 16091, 529, 139182, 3301, 236814, 13990, 1954, 236761, 22177, 573, 11221, 532, 2460, 12496, 41218, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 71524, 236779, 2861, 1083, 236743, 236800, 236771, 236771, 236764, 623, 2153, 236779, 13692, 236779, 29263, 1083, 3714, 22487, 1083, 236743, 236778, 236810, 236771, 236764, 623, 56652, 236779, 55696, 1083, 236743, 236828, 236771, 236771, 236771, 236764, 623, 26329, 236779, 55696, 1083, 236743, 236770, 236810, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 818, 1346, 5158, 2299, 4374, 8385, 563, 5213, 4968, 8493, 50726, 125546, 496, 4374, 529, 139182, 3301, 236814, 13990, 1954, 236761, 5978, 1116, 8781, 1677, 711, 25010, 1694, 3662, 4889, 236764, 1116, 2777, 4009, 4588, 532, 15154, 3600, 1304, 563, 496, 2307, 32571, 236761, 2282, 3371, 607, 1116, 236764, 611, 740, 5370, 855, 4323, 1116, 2777, 4009, 8781, 5467, 236761, 236743, 108, 2542, 25898, 2299, 4749, 236764, 139182, 3301, 236814, 13990, 1954, 20472, 16789, 2874, 11303, 532, 7384, 8470, 568, 236744, 236761, 236759, 1126, 506, 5261, 34556, 1048, 580, 236743, 236800, 236786, 236778, 236800, 532, 5365, 41157, 580, 236743, 236812, 236786, 236778, 236771, 769, 1701, 1982, 3662, 236764, 1966, 39389, 139182, 3301, 236814, 13990, 1954, 653, 21667, 886, 529, 910, 4749, 236761, 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, 1386, 3068, 7220, 573, 1041, 2523, 22658, 672, 8174, 236764, 840, 506, 15028, 2260, 564, 236789, 560, 1456, 573, 1518, 815, 672, 20412, 236787, 623, 113274, 25725, 1374, 577, 1133, 496, 3538, 236764, 223575, 23957, 1781, 564, 236789, 236757, 711, 2889, 1144, 600, 2820, 7121, 237028, 3307, 4916, 659, 3978, 20718, 699, 208179, 236764, 532, 564, 1537, 236789, 236745, 1461, 531, 42711, 506, 13415, 236761, 28344, 611, 1385, 872, 506, 4453, 8514, 529, 623, 113274, 25725, 236775, 573, 786, 236881, 564, 236789, 560, 1010, 14049, 2338, 564, 691, 496, 3953, 236764, 840, 672, 1941, 815, 786, 56145, 524, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 127787, 827, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 90906, 1083, 11058, 1437, 3325, 653, 1883, 529, 1646, 9958, 236793, 7686, 653, 76208, 827, 623, 1437, 3670, 529, 496, 14530, 600, 5862, 625, 531, 4883, 1061, 6230, 2180, 28174, 568, 236744, 236761, 236759, 1126, 29169, 236764, 23957, 236768, 14255, 623, 8358, 236779, 26514, 1083, 623, 818, 29169, 236789, 236751, 25725, 1374, 577, 1133, 496, 3538, 236764, 223575, 23957, 236785, 236756, 236778, 236771, 236770, 236812, 198275, 2311, 31090, 6271, 2311, 6299, 10498, 623, 31997, 101864, 1083, 11058, 29513, 665, 827, 623, 1364, 104560, 827, 623, 1987, 5710, 14255, 623, 638, 101864, 1083, 11058, 495, 127787, 827, 623, 221627, 665, 827, 623, 36772, 567, 99471, 106, 107, 105, 4368, 107, 22515, 580, 822, 7609, 1003, 623, 113274, 25725, 2098, 1590, 236789, 236751, 506, 18997, 8514, 699, 506, 19086, 9299, 236787, 108, 1018, 223196, 1018, 568, 115094, 1473, 138, 107, 236829, 818, 3670, 529, 496, 14530, 600, 5862, 625, 531, 4883, 1061, 6230, 2180, 28174, 568, 236744, 236761, 236759, 1126, 29169, 236764, 23957, 163765, 138, 108, 1018, 121435, 16823, 573, 822, 3068, 7220, 53121, 138, 107, 11069, 29169, 1374, 2597, 1133, 5213, 5622, 236764, 17589, 742, 23957, 1018, 237028, 2217, 31090, 568, 5282, 11474, 6784, 236768, 653, 134480, 586, 568, 5282, 6299, 18763, 769, 3026, 21216, 29846, 607, 822, 15599, 236764, 625, 1374, 2768, 1061, 6230, 2180, 159040, 522, 653, 147592, 236761, 1637, 625, 33227, 531, 822, 4916, 236764, 1138, 496, 16383, 57813, 529, 18763, 236793, 768, 625, 11906, 6299, 532, 33132, 236764, 1138, 496, 2321, 17221, 529, 1813, 236761, 138, 108, 2094, 563, 496, 3364, 1941, 528, 25671, 531, 9779, 506, 808, 63914, 7595, 236829, 573, 29169, 236751, 1133, 30387, 568, 3456, 528, 3068, 7220, 779, 1298, 506, 29169, 1921, 2768, 1061, 6230, 1651, 1646, 3735, 531, 6309, 653, 6230, 236761, 5180, 1518, 529, 2707, 2689, 611, 236858, 859, 4547, 15256, 625, 3622, 611, 1594, 496, 1944, 6347, 236888, 138, 108, 236829, 40855, 149681, 99975, 553, 3097, 7080, 568, 9869, 236743, 236810, 236964, 236832, 4310, 779, 1299, 2686, 496, 1944, 4299, 237028, 509, 1374, 2597, 15363, 532, 6422, 8427, 2180, 72235, 236761, 1599, 236858, 500, 580, 506, 1447, 4087, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1386, 3068, 7220, 573, 1041, 2523, 22658, 672, 8174, 236764, 840, 506, 15028, 2260, 564, 236789, 560, 1456, 573, 1518, 815, 672, 20412, 236787, 623, 113274, 25725, 1374, 577, 1133, 496, 3538, 236764, 223575, 23957, 1781, 564, 236789, 236757, 711, 2889, 1144, 600, 2820, 7121, 237028, 3307, 4916, 659, 3978, 20718, 699, 208179, 236764, 532, 564, 1537, 236789, 236745, 1461, 531, 42711, 506, 13415, 236761, 28344, 611, 1385, 872, 506, 4453, 8514, 529, 623, 113274, 25725, 236775, 573, 786, 236881, 564, 236789, 560, 1010, 14049, 2338, 564, 691, 496, 3953, 236764, 840, 672, 1941, 815, 786, 56145, 524, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 127787, 827, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 90906, 1083, 11058, 1437, 3325, 653, 1883, 529, 1646, 9958, 236793, 7686, 653, 76208, 827, 623, 1437, 3670, 529, 496, 14530, 600, 5862, 625, 531, 4883, 1061, 6230, 2180, 28174, 568, 236744, 236761, 236759, 1126, 29169, 236764, 23957, 236768, 14255, 623, 8358, 236779, 26514, 1083, 623, 818, 29169, 236789, 236751, 25725, 1374, 577, 1133, 496, 3538, 236764, 223575, 23957, 236785, 236756, 236778, 236771, 236770, 236812, 198275, 2311, 31090, 6271, 2311, 6299, 10498, 623, 31997, 101864, 1083, 11058, 29513, 665, 827, 623, 1364, 104560, 827, 623, 1987, 5710, 14255, 623, 638, 101864, 1083, 11058, 495, 127787, 827, 623, 221627, 665, 827, 623, 36772, 567, 99471, 106, 107, 105, 4368, 107, 22515, 580, 822, 7609, 1003, 623, 113274, 25725, 2098, 1590, 236789, 236751, 506, 18997, 8514, 699, 506, 19086, 9299, 236787, 108, 1018, 223196, 1018, 568, 115094, 1473, 138, 107, 236829, 818, 3670, 529, 496, 14530, 600, 5862, 625, 531, 4883, 1061, 6230, 2180, 28174, 568, 236744, 236761, 236759, 1126, 29169, 236764, 23957, 163765, 138, 108, 1018, 121435, 16823, 573, 822, 3068, 7220, 53121, 138, 107, 11069, 29169, 1374, 2597, 1133, 5213, 5622, 236764, 17589, 742, 23957, 1018, 237028, 2217, 31090, 568, 5282, 11474, 6784, 236768, 653, 134480, 586, 568, 5282, 6299, 18763, 769, 3026, 21216, 29846, 607, 822, 15599, 236764, 625, 1374, 2768, 1061, 6230, 2180, 159040, 522, 653, 147592, 236761, 1637, 625, 33227, 531, 822, 4916, 236764, 1138, 496, 16383, 57813, 529, 18763, 236793, 768, 625, 11906, 6299, 532, 33132, 236764, 1138, 496, 2321, 17221, 529, 1813, 236761, 138, 108, 2094, 563, 496, 3364, 1941, 528, 25671, 531, 9779, 506, 808, 63914, 7595, 236829, 573, 29169, 236751, 1133, 30387, 568, 3456, 528, 3068, 7220, 779, 1298, 506, 29169, 1921, 2768, 1061, 6230, 1651, 1646, 3735, 531, 6309, 653, 6230, 236761, 5180, 1518, 529, 2707, 2689, 611, 236858, 859, 4547, 15256, 625, 3622, 611, 1594, 496, 1944, 6347, 236888, 138, 108, 236829, 40855, 149681, 99975, 553, 3097, 7080, 568, 9869, 236743, 236810, 236964, 236832, 4310, 779, 1299, 2686, 496, 1944, 4299, 237028, 509, 1374, 2597, 15363, 532, 6422, 8427, 2180, 72235, 236761, 1599, 236858, 500, 580, 506, 1447, 4087, 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, 17373, 573, 1041, 16038, 7946, 531, 82994, 532, 1461, 531, 2233, 528, 496, 13451, 6727, 529, 9168, 236772, 179051, 4079, 33640, 573, 506, 1440, 22344, 236761, 564, 1202, 3835, 1208, 609, 236778, 236771, 236771, 607, 657, 3198, 496, 236743, 236812, 236761, 236810, 236772, 7991, 14470, 236764, 132187, 4681, 607, 1440, 10055, 1972, 532, 27472, 1702, 573, 4301, 5931, 236761, 28344, 611, 33205, 506, 1903, 236743, 236810, 2536, 699, 9593, 600, 4241, 1239, 13138, 236881, 12213, 4889, 1133, 3385, 236764, 15830, 236764, 532, 39971, 1938, 531, 10769, 1091, 11974, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 93887, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 93887, 236772, 21326, 236770, 236771, 236771, 236771, 90295, 236812, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236823, 236953, 64261, 236778, 236828, 236823, 23179, 3714, 3250, 1083, 623, 236799, 888, 91638, 90829, 236743, 236812, 236810, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236771, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236799, 888, 236772, 161576, 90829, 236772, 236812, 236810, 236772, 162526, 236772, 154882, 13917, 236786, 19615, 236786, 236799, 236771, 236819, 236812, 236935, 236828, 236798, 236778, 236832, 236874, 23179, 3714, 3250, 1083, 623, 236773, 2684, 234305, 161861, 236743, 236812, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236773, 2684, 234305, 236772, 95194, 597, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236819, 236823, 236825, 236874, 48976, 236828, 236797, 23179, 3714, 3250, 1083, 623, 2267, 5806, 19997, 6102, 13510, 23316, 236770, 236771, 236771, 236771, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236810, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 5806, 236772, 21728, 6102, 236772, 17642, 236772, 10284, 236770, 236771, 236771, 236771, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236847, 236832, 236935, 236825, 236863, 236770, 236823, 23179, 3714, 3250, 1083, 623, 236863, 65317, 48120, 236743, 236828, 236810, 236754, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236863, 65317, 236772, 236788, 236828, 236810, 236754, 236772, 156563, 236772, 35153, 236772, 157673, 236786, 19615, 236786, 236799, 236771, 236832, 236791, 236800, 236292, 236812, 236770, 236935, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236828, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 9168, 236772, 179051, 4079, 33640, 1208, 609, 236778, 236771, 236771, 607, 236743, 236812, 236761, 236810, 236862, 24074, 699, 9593, 236764, 7436, 573, 4301, 236787, 108, 236770, 236761, 5213, 93887, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236800, 236771, 3885, 568, 4060, 111424, 236768, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236810, 236812, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 93887, 236772, 21326, 236770, 236771, 236771, 236771, 90295, 236812, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236823, 236953, 64261, 236778, 236828, 236823, 236768, 138, 108, 236778, 236761, 5213, 236799, 888, 91638, 90829, 236743, 236812, 236810, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236771, 236771, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236778, 236812, 3885, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236812, 236800, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236799, 888, 236772, 161576, 90829, 236772, 236812, 236810, 236772, 162526, 236772, 154882, 13917, 236786, 19615, 236786, 236799, 236771, 236819, 236812, 236935, 236828, 236798, 236778, 236832, 236874, 236768, 138, 108, 236800, 236761, 5213, 236773, 2684, 234305, 161861, 236743, 236812, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236825, 236771, 3885, 568, 138648, 111424, 236768, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236819, 236800, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236773, 2684, 234305, 236772, 95194, 597, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236819, 236823, 236825, 236874, 48976, 236828, 236797, 236768, 138, 108, 236812, 236761, 5213, 2267, 5806, 19997, 6102, 13510, 23316, 236770, 236771, 236771, 236771, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236810, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236800, 236828, 3885, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236810, 236771, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 5806, 236772, 21728, 6102, 236772, 17642, 236772, 10284, 236770, 236771, 236771, 236771, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236847, 236832, 236935, 236825, 236863, 236770, 236823, 236768, 138, 108, 236810, 236761, 5213, 236863, 65317, 48120, 236743, 236828, 236810, 236754, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236800, 236825, 3885, 138, 107, 139, 236772, 24403, 236787, 236743, 236800, 236812, 236832, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236863, 65317, 236772, 236788, 236828, 236810, 236754, 236772, 156563, 236772, 35153, 236772, 157673, 236786, 19615, 236786, 236799, 236771, 236832, 236791, 236800, 236292, 236812, 236770, 236935, 236768, 138, 108, 10354, 9533, 107452, 236787, 107, 236772, 5213, 94824, 8586, 66515, 170865, 234305, 161861, 236743, 236812, 9025, 607, 236743, 236825, 236771, 3885, 236793, 28457, 532, 57554, 601, 992, 23944, 75720, 236800, 236771, 236862, 3885, 769, 138, 107, 236772, 5213, 17115, 66515, 73908, 532, 28457, 659, 506, 115846, 573, 4301, 5931, 236761, 138, 107, 236772, 5213, 11280, 66515, 1455, 5806, 5469, 506, 1791, 1550, 657, 609, 236770, 236825, 236771, 236764, 1651, 3496, 13627, 3541, 609, 236778, 236771, 236771, 236761, 138, 108, 6845, 1698, 7704, 573, 2587, 55455, 532, 5602, 10595, 236761, 2343, 659, 2487, 6842, 699, 9593, 236761, 30164, 33036, 531, 82994, 236888, 236743, 252723, 238178, 244710, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1041, 16038, 7946, 531, 82994, 532, 1461, 531, 2233, 528, 496, 13451, 6727, 529, 9168, 236772, 179051, 4079, 33640, 573, 506, 1440, 22344, 236761, 564, 1202, 3835, 1208, 609, 236778, 236771, 236771, 607, 657, 3198, 496, 236743, 236812, 236761, 236810, 236772, 7991, 14470, 236764, 132187, 4681, 607, 1440, 10055, 1972, 532, 27472, 1702, 573, 4301, 5931, 236761, 28344, 611, 33205, 506, 1903, 236743, 236810, 2536, 699, 9593, 600, 4241, 1239, 13138, 236881, 12213, 4889, 1133, 3385, 236764, 15830, 236764, 532, 39971, 1938, 531, 10769, 1091, 11974, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 93887, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 93887, 236772, 21326, 236770, 236771, 236771, 236771, 90295, 236812, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236823, 236953, 64261, 236778, 236828, 236823, 23179, 3714, 3250, 1083, 623, 236799, 888, 91638, 90829, 236743, 236812, 236810, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236771, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236799, 888, 236772, 161576, 90829, 236772, 236812, 236810, 236772, 162526, 236772, 154882, 13917, 236786, 19615, 236786, 236799, 236771, 236819, 236812, 236935, 236828, 236798, 236778, 236832, 236874, 23179, 3714, 3250, 1083, 623, 236773, 2684, 234305, 161861, 236743, 236812, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236773, 2684, 234305, 236772, 95194, 597, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236819, 236823, 236825, 236874, 48976, 236828, 236797, 23179, 3714, 3250, 1083, 623, 2267, 5806, 19997, 6102, 13510, 23316, 236770, 236771, 236771, 236771, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236810, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 5806, 236772, 21728, 6102, 236772, 17642, 236772, 10284, 236770, 236771, 236771, 236771, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236847, 236832, 236935, 236825, 236863, 236770, 236823, 23179, 3714, 3250, 1083, 623, 236863, 65317, 48120, 236743, 236828, 236810, 236754, 48224, 59461, 236772, 154882, 13917, 155538, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 74392, 1083, 623, 39460, 827, 623, 5930, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236863, 65317, 236772, 236788, 236828, 236810, 236754, 236772, 156563, 236772, 35153, 236772, 157673, 236786, 19615, 236786, 236799, 236771, 236832, 236791, 236800, 236292, 236812, 236770, 236935, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236828, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 9168, 236772, 179051, 4079, 33640, 1208, 609, 236778, 236771, 236771, 607, 236743, 236812, 236761, 236810, 236862, 24074, 699, 9593, 236764, 7436, 573, 4301, 236787, 108, 236770, 236761, 5213, 93887, 16169, 236772, 236770, 236771, 236771, 236771, 90295, 236812, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236800, 236771, 3885, 568, 4060, 111424, 236768, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236810, 236812, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 93887, 236772, 21326, 236770, 236771, 236771, 236771, 90295, 236812, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236823, 236953, 64261, 236778, 236828, 236823, 236768, 138, 108, 236778, 236761, 5213, 236799, 888, 91638, 90829, 236743, 236812, 236810, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236771, 236771, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236778, 236812, 3885, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236812, 236800, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236799, 888, 236772, 161576, 90829, 236772, 236812, 236810, 236772, 162526, 236772, 154882, 13917, 236786, 19615, 236786, 236799, 236771, 236819, 236812, 236935, 236828, 236798, 236778, 236832, 236874, 236768, 138, 108, 236800, 236761, 5213, 236773, 2684, 234305, 161861, 236743, 236812, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236825, 236771, 3885, 568, 138648, 111424, 236768, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236819, 236800, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236773, 2684, 234305, 236772, 95194, 597, 236772, 162526, 236772, 73678, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236819, 236823, 236825, 236874, 48976, 236828, 236797, 236768, 138, 108, 236812, 236761, 5213, 2267, 5806, 19997, 6102, 13510, 23316, 236770, 236771, 236771, 236771, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236810, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236800, 236828, 3885, 138, 107, 139, 236772, 24403, 236787, 236743, 236778, 236810, 236771, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 2267, 5806, 236772, 21728, 6102, 236772, 17642, 236772, 10284, 236770, 236771, 236771, 236771, 236772, 154882, 13917, 236772, 18807, 15102, 236786, 19615, 236786, 236799, 236771, 236828, 236847, 236832, 236935, 236825, 236863, 236770, 236823, 236768, 138, 108, 236810, 236761, 5213, 236863, 65317, 48120, 236743, 236828, 236810, 236754, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 139, 236772, 46357, 8586, 236787, 5827, 531, 236743, 236800, 236825, 3885, 138, 107, 139, 236772, 24403, 236787, 236743, 236800, 236812, 236832, 236759, 138, 107, 139, 236772, 10297, 236787, 870, 7163, 11338, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 236863, 65317, 236772, 236788, 236828, 236810, 236754, 236772, 156563, 236772, 35153, 236772, 157673, 236786, 19615, 236786, 236799, 236771, 236832, 236791, 236800, 236292, 236812, 236770, 236935, 236768, 138, 108, 10354, 9533, 107452, 236787, 107, 236772, 5213, 94824, 8586, 66515, 170865, 234305, 161861, 236743, 236812, 9025, 607, 236743, 236825, 236771, 3885, 236793, 28457, 532, 57554, 601, 992, 23944, 75720, 236800, 236771, 236862, 3885, 769, 138, 107, 236772, 5213, 17115, 66515, 73908, 532, 28457, 659, 506, 115846, 573, 4301, 5931, 236761, 138, 107, 236772, 5213, 11280, 66515, 1455, 5806, 5469, 506, 1791, 1550, 657, 609, 236770, 236825, 236771, 236764, 1651, 3496, 13627, 3541, 609, 236778, 236771, 236771, 236761, 138, 108, 6845, 1698, 7704, 573, 2587, 55455, 532, 5602, 10595, 236761, 2343, 659, 2487, 6842, 699, 9593, 236761, 30164, 33036, 531, 82994, 236888, 236743, 252723, 238178, 244710, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 13611, 14134, 532, 18073, 2731, 36443, 531, 1041, 1873, 20673, 532, 7675, 236761, 3792, 236789, 236751, 1502, 607, 506, 35439, 236787, 564, 236789, 236757, 236743, 236812, 236828, 1518, 2255, 236764, 8256, 236764, 236743, 236825, 236800, 236761, 236810, 11944, 236764, 236743, 236770, 236825, 236810, 6480, 13030, 236764, 607, 496, 51641, 5158, 15911, 568, 13692, 1984, 236743, 236800, 769, 3551, 1689, 5671, 563, 16977, 1041, 1873, 3825, 840, 14526, 11103, 15737, 236761, 5315, 236764, 9279, 1041, 603, 9512, 1699, 506, 142278, 236772, 894, 6735, 504, 4901, 236764, 1299, 6054, 1041, 558, 4070, 236788, 2721, 580, 1041, 4588, 1984, 236761, 9920, 692, 735, 1724, 4945, 236764, 564, 1461, 611, 531, 2426, 1041, 74013, 8038, 532, 6861, 2619, 496, 28233, 2731, 600, 5132, 1800, 149612, 22521, 532, 8774, 15136, 573, 11103, 211194, 236761, 3792, 236789, 236751, 776, 672, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17147, 236750, 1083, 236743, 236770, 236778, 236832, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236745, 96897, 1083, 236743, 236778, 236770, 236810, 236771, 236764, 623, 17147, 236750, 1083, 236743, 236770, 236812, 236800, 236778, 236764, 623, 17147, 236750, 236779, 8539, 236779, 3456, 1083, 623, 236792, 584, 112465, 236772, 894, 6735, 504, 827, 623, 13692, 236779, 19385, 1083, 236743, 236770, 236761, 236810, 236810, 236764, 623, 132119, 1083, 236743, 236778, 236800, 236761, 236800, 236764, 623, 132119, 236779, 10618, 1083, 623, 15585, 3825, 827, 623, 95503, 236779, 125645, 236779, 8572, 1083, 623, 236778, 236770, 236771, 236771, 236772, 236778, 236778, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132119, 1083, 236743, 236778, 236800, 236761, 236810, 236764, 623, 10618, 1083, 623, 7382, 3825, 25938, 106, 107, 105, 4368, 107, 1018, 174791, 43459, 833, 37854, 9620, 1018, 108, 7243, 108, 10354, 5213, 236770, 236761, 126702, 116589, 1018, 107, 236772, 5213, 236799, 9512, 568, 236792, 584, 112465, 236772, 894, 6735, 504, 23491, 1473, 1018, 138, 107, 138, 236929, 236770, 236764, 236778, 236832, 236771, 91858, 236786, 1496, 236929, 138, 107, 138, 16907, 14151, 522, 2778, 27588, 531, 4883, 6079, 48817, 5151, 12016, 108, 236772, 5213, 236774, 4070, 236788, 568, 9640, 18245, 9904, 136445, 1473, 1018, 138, 107, 138, 236929, 236778, 236764, 236770, 236810, 236771, 91858, 236786, 1496, 236929, 138, 107, 138, 16907, 22304, 774, 1699, 4588, 5415, 236743, 236770, 236761, 236810, 236810, 573, 623, 153175, 2295, 5158, 1373, 236829, 138, 107, 138, 1018, 105318, 20214, 53121, 236743, 236778, 236764, 236770, 236771, 236771, 236964, 236778, 236764, 236778, 236771, 236771, 91858, 236786, 1496, 108, 236772, 5213, 96402, 53121, 138, 107, 138, 236929, 236778, 236800, 236761, 236810, 236929, 568, 15585, 3825, 236768, 138, 107, 138, 16907, 74442, 2644, 573, 3558, 529, 236743, 236770, 236825, 236810, 6480, 12016, 108, 7243, 108, 10354, 5213, 236778, 236761, 37854, 9620, 573, 79916, 558, 22172, 1018, 107, 1018, 35559, 53121, 75133, 3825, 1651, 61232, 2742, 9637, 568, 87596, 11103, 3413, 236764, 3718, 6477, 769, 138, 107, 1018, 8571, 31444, 23170, 53121, 2165, 236778, 236764, 236770, 236810, 236771, 91858, 236786, 1496, 236929, 568, 10480, 558, 4070, 236788, 573, 3825, 9626, 769, 138, 108, 1018, 19253, 1863, 183618, 166977, 53121, 138, 107, 236772, 5213, 105471, 53121, 2165, 236800, 236771, 236908, 236929, 568, 236770, 236825, 236770, 236759, 236768, 138, 107, 138, 16907, 195251, 11103, 11790, 236786, 45882, 236793, 236743, 236778, 236761, 236810, 236781, 212997, 573, 211194, 12016, 138, 107, 236772, 5213, 9767, 33229, 14473, 53121, 2165, 236812, 236771, 236908, 236929, 568, 236778, 236770, 236810, 236759, 236768, 138, 107, 138, 16907, 77603, 573, 60618, 532, 10941, 12016, 138, 107, 236772, 5213, 236811, 2139, 53121, 2165, 236800, 236771, 236908, 236929, 568, 236832, 236778, 236759, 236768, 138, 107, 138, 16907, 236814, 741, 10198, 7002, 532, 34685, 15398, 12016, 138, 108, 1018, 19469, 18245, 9620, 53121, 138, 107, 236772, 5213, 100554, 53121, 16470, 52652, 900, 35688, 900, 22350, 568, 236800, 236771, 236771, 91858, 236764, 236743, 236778, 236771, 236759, 6762, 236768, 138, 107, 236772, 5213, 130318, 53121, 170240, 12480, 20468, 900, 26012, 4446, 900, 120701, 568, 236810, 236771, 236771, 91858, 236764, 236743, 236800, 236810, 236759, 6762, 236768, 138, 107, 236772, 5213, 16098, 697, 53121, 41164, 31716, 900, 30077, 568, 236800, 236810, 236771, 91858, 236764, 236743, 236778, 236810, 236759, 6762, 236768, 138, 107, 236772, 5213, 144999, 53121, 58322, 900, 9380, 25852, 900, 63770, 568, 236825, 236771, 236771, 91858, 236764, 236743, 236812, 236771, 236759, 6762, 236768, 138, 107, 236772, 5213, 168456, 53121, 18705, 14403, 236764, 51854, 40233, 236764, 653, 37009, 13840, 568, 236812, 236771, 236771, 91858, 236764, 236743, 236778, 236771, 236759, 6762, 236768, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 38215, 91330, 1018, 138, 107, 1018, 69897, 53121, 236743, 236812, 236964, 236810, 2668, 236786, 14808, 568, 33508, 6332, 900, 69488, 900, 25028, 769, 138, 108, 1018, 236776, 236761, 55732, 17263, 568, 236800, 236781, 236786, 14808, 1473, 1018, 138, 107, 236772, 30235, 580, 10615, 18560, 568, 236778, 236964, 236800, 7093, 529, 236743, 236828, 236964, 236770, 236778, 68450, 1473, 138, 107, 138, 236772, 5213, 28353, 21307, 53121, 41900, 236772, 11303, 236764, 87858, 12773, 236764, 17198, 63581, 138, 107, 138, 236772, 5213, 19503, 21307, 53121, 40129, 2139, 236764, 17195, 507, 236764, 2112, 1328, 34679, 138, 107, 138, 236772, 5213, 11834, 53121, 1973, 3687, 236764, 9203, 76589, 236764, 2420, 29933, 138, 107, 236772, 4140, 23288, 66342, 16789, 568, 70537, 3825, 236786, 500, 975, 769, 138, 108, 1018, 236799, 236761, 233886, 568, 236778, 236781, 236786, 14808, 1473, 1018, 138, 107, 236772, 90434, 236772, 80384, 20312, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 46205, 84419, 9378, 900, 236743, 236810, 46205, 79420, 769, 138, 107, 236772, 158256, 13795, 653, 31509, 657, 236743, 236825, 236771, 236964, 236832, 236771, 236908, 2631, 3710, 3136, 236761, 138, 108, 1018, 236780, 236761, 90576, 236786, 41318, 3092, 568, 42362, 1473, 1018, 138, 107, 236772, 39872, 653, 10795, 35727, 1868, 236772, 68492, 568, 548, 1045, 2061, 10941, 532, 39013, 769, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 35593, 1230, 833, 45325, 1018, 138, 107, 236772, 5213, 11620, 22583, 53121, 6890, 12780, 196936, 831, 5559, 653, 202613, 236776, 13952, 1418, 236743, 236828, 5695, 236761, 138, 107, 236772, 5213, 66649, 195464, 53121, 1637, 3825, 24637, 236764, 100257, 22521, 684, 22820, 236778, 236771, 236771, 91858, 236786, 1496, 236761, 138, 107, 236772, 5213, 91857, 1830, 53121, 236743, 236778, 236761, 236810, 236798, 1813, 236786, 1496, 568, 43925, 23298, 532, 11103, 1292, 769, 138, 108, 1018, 10282, 53121, 3143, 14287, 9027, 951, 15605, 2404, 3439, 236761, 1701, 28233, 30981, 236764, 6618, 496, 12314, 153306, 653, 19743, 36762, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 1027, 912, 529, 672, 2731, 236881, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1138, 2742, 6477, 10256, 531, 672, 10834, 573, 496, 919, 4133, 6083, 529, 1041, 2742, 9637, 236761, 564, 236789, 859, 2847, 506, 4127, 10802, 236787, 10225, 60186, 236743, 236800, 236778, 6480, 236764, 28972, 60186, 236743, 236832, 236825, 6480, 236764, 532, 16240, 60186, 236743, 236819, 236812, 6480, 236761, 22241, 1041, 2742, 6477, 10256, 1699, 1239, 10802, 236764, 1299, 6253, 506, 14134, 2731, 768, 4354, 2721, 580, 506, 2536, 236761, 6542, 236764, 2338, 564, 1441, 89342, 532, 7972, 14578, 236764, 740, 611, 3600, 1217, 531, 27968, 1724, 5085, 1131, 1041, 69488, 15668, 573, 2480, 63232, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7589, 236758, 1083, 236743, 236778, 236778, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17147, 236750, 1083, 236743, 236770, 236778, 236825, 236810, 236764, 623, 236745, 96897, 1083, 236743, 236770, 236819, 236825, 236770, 236764, 623, 132119, 1083, 236743, 236778, 236800, 236761, 236800, 236764, 623, 132119, 236779, 10618, 1083, 623, 7382, 3825, 827, 623, 15081, 1083, 3714, 1653, 31444, 236779, 720, 873, 1083, 623, 236770, 236819, 236771, 236771, 236772, 236778, 236771, 236771, 236771, 91858, 236786, 1496, 827, 623, 12919, 1863, 151268, 1083, 3714, 56874, 1083, 623, 236770, 236778, 236832, 236759, 568, 236778, 236825, 236908, 529, 29304, 22730, 623, 4554, 1886, 1083, 623, 236770, 236812, 236810, 236759, 568, 236800, 236771, 236908, 529, 29304, 22730, 623, 236760, 2139, 1083, 623, 236825, 236810, 236759, 568, 236800, 236800, 236908, 529, 29304, 16291, 1263, 623, 70338, 236779, 85038, 847, 1083, 11058, 123725, 4122, 236743, 236812, 236781, 236786, 14808, 568, 11757, 580, 10615, 18560, 22730, 623, 26722, 1768, 14845, 236743, 236778, 236781, 236786, 14808, 573, 6477, 27215, 827, 623, 42362, 25028, 981, 532, 7157, 12881, 827, 623, 20558, 705, 66342, 8688, 1418, 236743, 236778, 5695, 14255, 623, 185494, 1083, 623, 236778, 236761, 236828, 236798, 1813, 236786, 1496, 827, 623, 153407, 567, 1083, 623, 90759, 622, 236800, 236764, 52164, 236772, 236800, 236764, 12024, 688, 127096, 106, 107, 105, 4368, 107, 1018, 109627, 43459, 833, 37854, 9620, 607, 21307, 62408, 13768, 1018, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 42841, 21307, 62408, 116589, 1018, 138, 107, 236772, 5213, 9256, 30593, 70231, 568, 236799, 22591, 1473, 1018, 2165, 236778, 236778, 236761, 236810, 236908, 236929, 138, 107, 138, 16907, 74442, 2644, 573, 496, 236743, 236812, 236828, 236772, 3704, 236772, 947, 8256, 563, 236743, 236778, 236778, 236964, 236778, 236810, 10014, 834, 611, 236789, 500, 2351, 12567, 2644, 12016, 138, 107, 236772, 5213, 77442, 21307, 8860, 53121, 2578, 236812, 236819, 236761, 236825, 11944, 568, 109654, 618, 236743, 236825, 236800, 236761, 236810, 11944, 2558, 3825, 15666, 568, 236770, 1271, 236743, 236771, 236761, 236778, 236778, 236810, 603, 22591, 1223, 138, 107, 236772, 5213, 77310, 8860, 53121, 2578, 236770, 236800, 236761, 236819, 11944, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 188445, 37854, 9620, 1018, 138, 107, 1018, 4199, 558, 4070, 236788, 53121, 2165, 236770, 236764, 236819, 236825, 236770, 91858, 236786, 1496, 236929, 568, 3843, 699, 236743, 236778, 236764, 236770, 236810, 236771, 91858, 236786, 1496, 2779, 531, 33093, 603, 22591, 236772, 5140, 15621, 769, 138, 107, 1018, 10206, 164618, 53121, 2165, 236770, 236764, 236819, 236771, 236771, 236964, 236778, 236764, 236771, 236771, 236771, 91858, 236786, 1496, 236929, 568, 95503, 2644, 769, 138, 108, 1018, 19253, 1863, 183618, 166977, 53121, 138, 107, 236772, 5213, 105471, 53121, 2165, 236770, 236778, 236832, 236759, 236929, 568, 236778, 236825, 236908, 529, 29304, 236768, 138, 107, 138, 16907, 166062, 672, 1984, 531, 22435, 25224, 3413, 1651, 14526, 15737, 12016, 138, 107, 236772, 5213, 9767, 33229, 14473, 53121, 2165, 236770, 236812, 236810, 236759, 236929, 568, 236800, 236771, 236908, 529, 29304, 236768, 138, 107, 138, 16907, 77603, 573, 8568, 532, 10941, 12016, 138, 107, 236772, 5213, 236811, 2139, 53121, 2165, 236825, 236810, 236759, 236929, 568, 236800, 236800, 236908, 529, 29304, 236768, 138, 107, 138, 16907, 195251, 34555, 7002, 236764, 2440, 66971, 573, 14761, 532, 11103, 2404, 12016, 138, 108, 1018, 3503, 35593, 1230, 53121, 138, 107, 236772, 22282, 77372, 5213, 11480, 236772, 15276, 6762, 1018, 7021, 568, 236744, 236761, 236759, 1126, 25224, 66276, 236764, 14318, 236764, 26283, 236768, 531, 14051, 11103, 11790, 236761, 138, 107, 236772, 4140, 5213, 4445, 236772, 236800, 236772, 9705, 15188, 1018, 568, 236744, 236761, 236759, 1126, 26472, 5385, 236764, 96380, 112153, 236768, 531, 1894, 27771, 2404, 532, 6439, 25125, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 38215, 9620, 43645, 1018, 138, 107, 1018, 236776, 236761, 61807, 17263, 568, 236812, 236781, 236786, 14808, 1473, 1018, 138, 107, 236772, 30235, 580, 5213, 104835, 54445, 1018, 568, 23767, 2139, 236764, 6582, 208464, 236764, 7671, 236772, 11303, 236768, 531, 29893, 63404, 8141, 532, 11103, 15154, 236761, 138, 107, 236772, 4140, 5213, 82033, 16573, 1018, 573, 2112, 1328, 12881, 532, 11646, 981, 1913, 89342, 75255, 236761, 138, 108, 1018, 236799, 236761, 136378, 23195, 53121, 138, 107, 236772, 5213, 28824, 3703, 25761, 53121, 153776, 618, 5213, 26722, 1768, 236772, 3061, 69488, 1018, 568, 2266, 183010, 210143, 236764, 21747, 18560, 769, 27468, 236743, 236778, 236781, 236786, 14808, 528, 1977, 529, 31044, 225475, 14845, 236761, 138, 107, 236772, 5213, 105411, 3999, 53121, 153776, 618, 5213, 976, 236772, 62580, 69488, 900, 10828, 6332, 4122, 1018, 568, 10740, 3801, 236764, 13418, 38603, 769, 4140, 236743, 236770, 236964, 236778, 14845, 236786, 14808, 573, 6236, 236761, 138, 108, 1018, 236780, 236761, 90576, 833, 38034, 53121, 138, 107, 236772, 6531, 236772, 45737, 3999, 653, 1868, 236772, 5622, 3703, 236764, 776, 5213, 236770, 236771, 236772, 20353, 25028, 17752, 1018, 568, 1837, 201704, 236764, 17198, 54772, 236768, 531, 5001, 46310, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 2341, 104560, 62382, 1018, 138, 107, 236772, 5213, 39656, 5490, 13455, 42465, 640, 51385, 53121, 138, 107, 138, 236772, 6890, 89342, 5428, 618, 822, 623, 6307, 897, 900, 78485, 236775, 1719, 236761, 138, 107, 138, 236772, 166858, 740, 9883, 496, 13015, 3727, 653, 2214, 69488, 6478, 236761, 138, 107, 236772, 5213, 11620, 22583, 607, 37256, 53121, 138, 107, 138, 236772, 12774, 13822, 5609, 6704, 532, 5433, 15955, 528, 11103, 15737, 568, 236744, 236761, 236759, 1126, 8514, 528, 12162, 236786, 125242, 699, 49115, 236786, 5622, 3703, 769, 138, 107, 236772, 5213, 91857, 1830, 53121, 138, 107, 138, 236772, 90917, 496, 1813, 11988, 568, 236778, 236761, 236828, 236798, 236786, 1496, 3328, 236768, 532, 53558, 1913, 49115, 236786, 5622, 3703, 531, 4196, 71322, 19850, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 8099, 236772, 10960, 35593, 1230, 1018, 138, 107, 236772, 1637, 603, 22591, 17221, 3426, 236743, 236778, 236771, 236908, 528, 236743, 236770, 236778, 5695, 236764, 4883, 6762, 22521, 532, 1138, 5213, 236770, 236908, 6477, 1018, 531, 216955, 151268, 531, 4196, 2351, 7644, 74708, 21280, 236761, 138, 107, 236772, 1701, 9691, 11103, 211194, 236764, 1966, 5213, 184624, 66342, 1018, 568, 236744, 236761, 236759, 1126, 32581, 163917, 1651, 49115, 607, 496, 15808, 27263, 769, 138, 108, 38786, 611, 1133, 531, 59638, 506, 13294, 21238, 653, 6253, 506, 8774, 10368, 3342, 236881, 178829, 252312, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13611, 14134, 532, 18073, 2731, 36443, 531, 1041, 1873, 20673, 532, 7675, 236761, 3792, 236789, 236751, 1502, 607, 506, 35439, 236787, 564, 236789, 236757, 236743, 236812, 236828, 1518, 2255, 236764, 8256, 236764, 236743, 236825, 236800, 236761, 236810, 11944, 236764, 236743, 236770, 236825, 236810, 6480, 13030, 236764, 607, 496, 51641, 5158, 15911, 568, 13692, 1984, 236743, 236800, 769, 3551, 1689, 5671, 563, 16977, 1041, 1873, 3825, 840, 14526, 11103, 15737, 236761, 5315, 236764, 9279, 1041, 603, 9512, 1699, 506, 142278, 236772, 894, 6735, 504, 4901, 236764, 1299, 6054, 1041, 558, 4070, 236788, 2721, 580, 1041, 4588, 1984, 236761, 9920, 692, 735, 1724, 4945, 236764, 564, 1461, 611, 531, 2426, 1041, 74013, 8038, 532, 6861, 2619, 496, 28233, 2731, 600, 5132, 1800, 149612, 22521, 532, 8774, 15136, 573, 11103, 211194, 236761, 3792, 236789, 236751, 776, 672, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17147, 236750, 1083, 236743, 236770, 236778, 236832, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236745, 96897, 1083, 236743, 236778, 236770, 236810, 236771, 236764, 623, 17147, 236750, 1083, 236743, 236770, 236812, 236800, 236778, 236764, 623, 17147, 236750, 236779, 8539, 236779, 3456, 1083, 623, 236792, 584, 112465, 236772, 894, 6735, 504, 827, 623, 13692, 236779, 19385, 1083, 236743, 236770, 236761, 236810, 236810, 236764, 623, 132119, 1083, 236743, 236778, 236800, 236761, 236800, 236764, 623, 132119, 236779, 10618, 1083, 623, 15585, 3825, 827, 623, 95503, 236779, 125645, 236779, 8572, 1083, 623, 236778, 236770, 236771, 236771, 236772, 236778, 236778, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132119, 1083, 236743, 236778, 236800, 236761, 236810, 236764, 623, 10618, 1083, 623, 7382, 3825, 25938, 106, 107, 105, 4368, 107, 1018, 174791, 43459, 833, 37854, 9620, 1018, 108, 7243, 108, 10354, 5213, 236770, 236761, 126702, 116589, 1018, 107, 236772, 5213, 236799, 9512, 568, 236792, 584, 112465, 236772, 894, 6735, 504, 23491, 1473, 1018, 138, 107, 138, 236929, 236770, 236764, 236778, 236832, 236771, 91858, 236786, 1496, 236929, 138, 107, 138, 16907, 14151, 522, 2778, 27588, 531, 4883, 6079, 48817, 5151, 12016, 108, 236772, 5213, 236774, 4070, 236788, 568, 9640, 18245, 9904, 136445, 1473, 1018, 138, 107, 138, 236929, 236778, 236764, 236770, 236810, 236771, 91858, 236786, 1496, 236929, 138, 107, 138, 16907, 22304, 774, 1699, 4588, 5415, 236743, 236770, 236761, 236810, 236810, 573, 623, 153175, 2295, 5158, 1373, 236829, 138, 107, 138, 1018, 105318, 20214, 53121, 236743, 236778, 236764, 236770, 236771, 236771, 236964, 236778, 236764, 236778, 236771, 236771, 91858, 236786, 1496, 108, 236772, 5213, 96402, 53121, 138, 107, 138, 236929, 236778, 236800, 236761, 236810, 236929, 568, 15585, 3825, 236768, 138, 107, 138, 16907, 74442, 2644, 573, 3558, 529, 236743, 236770, 236825, 236810, 6480, 12016, 108, 7243, 108, 10354, 5213, 236778, 236761, 37854, 9620, 573, 79916, 558, 22172, 1018, 107, 1018, 35559, 53121, 75133, 3825, 1651, 61232, 2742, 9637, 568, 87596, 11103, 3413, 236764, 3718, 6477, 769, 138, 107, 1018, 8571, 31444, 23170, 53121, 2165, 236778, 236764, 236770, 236810, 236771, 91858, 236786, 1496, 236929, 568, 10480, 558, 4070, 236788, 573, 3825, 9626, 769, 138, 108, 1018, 19253, 1863, 183618, 166977, 53121, 138, 107, 236772, 5213, 105471, 53121, 2165, 236800, 236771, 236908, 236929, 568, 236770, 236825, 236770, 236759, 236768, 138, 107, 138, 16907, 195251, 11103, 11790, 236786, 45882, 236793, 236743, 236778, 236761, 236810, 236781, 212997, 573, 211194, 12016, 138, 107, 236772, 5213, 9767, 33229, 14473, 53121, 2165, 236812, 236771, 236908, 236929, 568, 236778, 236770, 236810, 236759, 236768, 138, 107, 138, 16907, 77603, 573, 60618, 532, 10941, 12016, 138, 107, 236772, 5213, 236811, 2139, 53121, 2165, 236800, 236771, 236908, 236929, 568, 236832, 236778, 236759, 236768, 138, 107, 138, 16907, 236814, 741, 10198, 7002, 532, 34685, 15398, 12016, 138, 108, 1018, 19469, 18245, 9620, 53121, 138, 107, 236772, 5213, 100554, 53121, 16470, 52652, 900, 35688, 900, 22350, 568, 236800, 236771, 236771, 91858, 236764, 236743, 236778, 236771, 236759, 6762, 236768, 138, 107, 236772, 5213, 130318, 53121, 170240, 12480, 20468, 900, 26012, 4446, 900, 120701, 568, 236810, 236771, 236771, 91858, 236764, 236743, 236800, 236810, 236759, 6762, 236768, 138, 107, 236772, 5213, 16098, 697, 53121, 41164, 31716, 900, 30077, 568, 236800, 236810, 236771, 91858, 236764, 236743, 236778, 236810, 236759, 6762, 236768, 138, 107, 236772, 5213, 144999, 53121, 58322, 900, 9380, 25852, 900, 63770, 568, 236825, 236771, 236771, 91858, 236764, 236743, 236812, 236771, 236759, 6762, 236768, 138, 107, 236772, 5213, 168456, 53121, 18705, 14403, 236764, 51854, 40233, 236764, 653, 37009, 13840, 568, 236812, 236771, 236771, 91858, 236764, 236743, 236778, 236771, 236759, 6762, 236768, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 38215, 91330, 1018, 138, 107, 1018, 69897, 53121, 236743, 236812, 236964, 236810, 2668, 236786, 14808, 568, 33508, 6332, 900, 69488, 900, 25028, 769, 138, 108, 1018, 236776, 236761, 55732, 17263, 568, 236800, 236781, 236786, 14808, 1473, 1018, 138, 107, 236772, 30235, 580, 10615, 18560, 568, 236778, 236964, 236800, 7093, 529, 236743, 236828, 236964, 236770, 236778, 68450, 1473, 138, 107, 138, 236772, 5213, 28353, 21307, 53121, 41900, 236772, 11303, 236764, 87858, 12773, 236764, 17198, 63581, 138, 107, 138, 236772, 5213, 19503, 21307, 53121, 40129, 2139, 236764, 17195, 507, 236764, 2112, 1328, 34679, 138, 107, 138, 236772, 5213, 11834, 53121, 1973, 3687, 236764, 9203, 76589, 236764, 2420, 29933, 138, 107, 236772, 4140, 23288, 66342, 16789, 568, 70537, 3825, 236786, 500, 975, 769, 138, 108, 1018, 236799, 236761, 233886, 568, 236778, 236781, 236786, 14808, 1473, 1018, 138, 107, 236772, 90434, 236772, 80384, 20312, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 46205, 84419, 9378, 900, 236743, 236810, 46205, 79420, 769, 138, 107, 236772, 158256, 13795, 653, 31509, 657, 236743, 236825, 236771, 236964, 236832, 236771, 236908, 2631, 3710, 3136, 236761, 138, 108, 1018, 236780, 236761, 90576, 236786, 41318, 3092, 568, 42362, 1473, 1018, 138, 107, 236772, 39872, 653, 10795, 35727, 1868, 236772, 68492, 568, 548, 1045, 2061, 10941, 532, 39013, 769, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 35593, 1230, 833, 45325, 1018, 138, 107, 236772, 5213, 11620, 22583, 53121, 6890, 12780, 196936, 831, 5559, 653, 202613, 236776, 13952, 1418, 236743, 236828, 5695, 236761, 138, 107, 236772, 5213, 66649, 195464, 53121, 1637, 3825, 24637, 236764, 100257, 22521, 684, 22820, 236778, 236771, 236771, 91858, 236786, 1496, 236761, 138, 107, 236772, 5213, 91857, 1830, 53121, 236743, 236778, 236761, 236810, 236798, 1813, 236786, 1496, 568, 43925, 23298, 532, 11103, 1292, 769, 138, 108, 1018, 10282, 53121, 3143, 14287, 9027, 951, 15605, 2404, 3439, 236761, 1701, 28233, 30981, 236764, 6618, 496, 12314, 153306, 653, 19743, 36762, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 1027, 912, 529, 672, 2731, 236881, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1138, 2742, 6477, 10256, 531, 672, 10834, 573, 496, 919, 4133, 6083, 529, 1041, 2742, 9637, 236761, 564, 236789, 859, 2847, 506, 4127, 10802, 236787, 10225, 60186, 236743, 236800, 236778, 6480, 236764, 28972, 60186, 236743, 236832, 236825, 6480, 236764, 532, 16240, 60186, 236743, 236819, 236812, 6480, 236761, 22241, 1041, 2742, 6477, 10256, 1699, 1239, 10802, 236764, 1299, 6253, 506, 14134, 2731, 768, 4354, 2721, 580, 506, 2536, 236761, 6542, 236764, 2338, 564, 1441, 89342, 532, 7972, 14578, 236764, 740, 611, 3600, 1217, 531, 27968, 1724, 5085, 1131, 1041, 69488, 15668, 573, 2480, 63232, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7589, 236758, 1083, 236743, 236778, 236778, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17147, 236750, 1083, 236743, 236770, 236778, 236825, 236810, 236764, 623, 236745, 96897, 1083, 236743, 236770, 236819, 236825, 236770, 236764, 623, 132119, 1083, 236743, 236778, 236800, 236761, 236800, 236764, 623, 132119, 236779, 10618, 1083, 623, 7382, 3825, 827, 623, 15081, 1083, 3714, 1653, 31444, 236779, 720, 873, 1083, 623, 236770, 236819, 236771, 236771, 236772, 236778, 236771, 236771, 236771, 91858, 236786, 1496, 827, 623, 12919, 1863, 151268, 1083, 3714, 56874, 1083, 623, 236770, 236778, 236832, 236759, 568, 236778, 236825, 236908, 529, 29304, 22730, 623, 4554, 1886, 1083, 623, 236770, 236812, 236810, 236759, 568, 236800, 236771, 236908, 529, 29304, 22730, 623, 236760, 2139, 1083, 623, 236825, 236810, 236759, 568, 236800, 236800, 236908, 529, 29304, 16291, 1263, 623, 70338, 236779, 85038, 847, 1083, 11058, 123725, 4122, 236743, 236812, 236781, 236786, 14808, 568, 11757, 580, 10615, 18560, 22730, 623, 26722, 1768, 14845, 236743, 236778, 236781, 236786, 14808, 573, 6477, 27215, 827, 623, 42362, 25028, 981, 532, 7157, 12881, 827, 623, 20558, 705, 66342, 8688, 1418, 236743, 236778, 5695, 14255, 623, 185494, 1083, 623, 236778, 236761, 236828, 236798, 1813, 236786, 1496, 827, 623, 153407, 567, 1083, 623, 90759, 622, 236800, 236764, 52164, 236772, 236800, 236764, 12024, 688, 127096, 106, 107, 105, 4368, 107, 1018, 109627, 43459, 833, 37854, 9620, 607, 21307, 62408, 13768, 1018, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 42841, 21307, 62408, 116589, 1018, 138, 107, 236772, 5213, 9256, 30593, 70231, 568, 236799, 22591, 1473, 1018, 2165, 236778, 236778, 236761, 236810, 236908, 236929, 138, 107, 138, 16907, 74442, 2644, 573, 496, 236743, 236812, 236828, 236772, 3704, 236772, 947, 8256, 563, 236743, 236778, 236778, 236964, 236778, 236810, 10014, 834, 611, 236789, 500, 2351, 12567, 2644, 12016, 138, 107, 236772, 5213, 77442, 21307, 8860, 53121, 2578, 236812, 236819, 236761, 236825, 11944, 568, 109654, 618, 236743, 236825, 236800, 236761, 236810, 11944, 2558, 3825, 15666, 568, 236770, 1271, 236743, 236771, 236761, 236778, 236778, 236810, 603, 22591, 1223, 138, 107, 236772, 5213, 77310, 8860, 53121, 2578, 236770, 236800, 236761, 236819, 11944, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 188445, 37854, 9620, 1018, 138, 107, 1018, 4199, 558, 4070, 236788, 53121, 2165, 236770, 236764, 236819, 236825, 236770, 91858, 236786, 1496, 236929, 568, 3843, 699, 236743, 236778, 236764, 236770, 236810, 236771, 91858, 236786, 1496, 2779, 531, 33093, 603, 22591, 236772, 5140, 15621, 769, 138, 107, 1018, 10206, 164618, 53121, 2165, 236770, 236764, 236819, 236771, 236771, 236964, 236778, 236764, 236771, 236771, 236771, 91858, 236786, 1496, 236929, 568, 95503, 2644, 769, 138, 108, 1018, 19253, 1863, 183618, 166977, 53121, 138, 107, 236772, 5213, 105471, 53121, 2165, 236770, 236778, 236832, 236759, 236929, 568, 236778, 236825, 236908, 529, 29304, 236768, 138, 107, 138, 16907, 166062, 672, 1984, 531, 22435, 25224, 3413, 1651, 14526, 15737, 12016, 138, 107, 236772, 5213, 9767, 33229, 14473, 53121, 2165, 236770, 236812, 236810, 236759, 236929, 568, 236800, 236771, 236908, 529, 29304, 236768, 138, 107, 138, 16907, 77603, 573, 8568, 532, 10941, 12016, 138, 107, 236772, 5213, 236811, 2139, 53121, 2165, 236825, 236810, 236759, 236929, 568, 236800, 236800, 236908, 529, 29304, 236768, 138, 107, 138, 16907, 195251, 34555, 7002, 236764, 2440, 66971, 573, 14761, 532, 11103, 2404, 12016, 138, 108, 1018, 3503, 35593, 1230, 53121, 138, 107, 236772, 22282, 77372, 5213, 11480, 236772, 15276, 6762, 1018, 7021, 568, 236744, 236761, 236759, 1126, 25224, 66276, 236764, 14318, 236764, 26283, 236768, 531, 14051, 11103, 11790, 236761, 138, 107, 236772, 4140, 5213, 4445, 236772, 236800, 236772, 9705, 15188, 1018, 568, 236744, 236761, 236759, 1126, 26472, 5385, 236764, 96380, 112153, 236768, 531, 1894, 27771, 2404, 532, 6439, 25125, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 38215, 9620, 43645, 1018, 138, 107, 1018, 236776, 236761, 61807, 17263, 568, 236812, 236781, 236786, 14808, 1473, 1018, 138, 107, 236772, 30235, 580, 5213, 104835, 54445, 1018, 568, 23767, 2139, 236764, 6582, 208464, 236764, 7671, 236772, 11303, 236768, 531, 29893, 63404, 8141, 532, 11103, 15154, 236761, 138, 107, 236772, 4140, 5213, 82033, 16573, 1018, 573, 2112, 1328, 12881, 532, 11646, 981, 1913, 89342, 75255, 236761, 138, 108, 1018, 236799, 236761, 136378, 23195, 53121, 138, 107, 236772, 5213, 28824, 3703, 25761, 53121, 153776, 618, 5213, 26722, 1768, 236772, 3061, 69488, 1018, 568, 2266, 183010, 210143, 236764, 21747, 18560, 769, 27468, 236743, 236778, 236781, 236786, 14808, 528, 1977, 529, 31044, 225475, 14845, 236761, 138, 107, 236772, 5213, 105411, 3999, 53121, 153776, 618, 5213, 976, 236772, 62580, 69488, 900, 10828, 6332, 4122, 1018, 568, 10740, 3801, 236764, 13418, 38603, 769, 4140, 236743, 236770, 236964, 236778, 14845, 236786, 14808, 573, 6236, 236761, 138, 108, 1018, 236780, 236761, 90576, 833, 38034, 53121, 138, 107, 236772, 6531, 236772, 45737, 3999, 653, 1868, 236772, 5622, 3703, 236764, 776, 5213, 236770, 236771, 236772, 20353, 25028, 17752, 1018, 568, 1837, 201704, 236764, 17198, 54772, 236768, 531, 5001, 46310, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 2341, 104560, 62382, 1018, 138, 107, 236772, 5213, 39656, 5490, 13455, 42465, 640, 51385, 53121, 138, 107, 138, 236772, 6890, 89342, 5428, 618, 822, 623, 6307, 897, 900, 78485, 236775, 1719, 236761, 138, 107, 138, 236772, 166858, 740, 9883, 496, 13015, 3727, 653, 2214, 69488, 6478, 236761, 138, 107, 236772, 5213, 11620, 22583, 607, 37256, 53121, 138, 107, 138, 236772, 12774, 13822, 5609, 6704, 532, 5433, 15955, 528, 11103, 15737, 568, 236744, 236761, 236759, 1126, 8514, 528, 12162, 236786, 125242, 699, 49115, 236786, 5622, 3703, 769, 138, 107, 236772, 5213, 91857, 1830, 53121, 138, 107, 138, 236772, 90917, 496, 1813, 11988, 568, 236778, 236761, 236828, 236798, 236786, 1496, 3328, 236768, 532, 53558, 1913, 49115, 236786, 5622, 3703, 531, 4196, 71322, 19850, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 8099, 236772, 10960, 35593, 1230, 1018, 138, 107, 236772, 1637, 603, 22591, 17221, 3426, 236743, 236778, 236771, 236908, 528, 236743, 236770, 236778, 5695, 236764, 4883, 6762, 22521, 532, 1138, 5213, 236770, 236908, 6477, 1018, 531, 216955, 151268, 531, 4196, 2351, 7644, 74708, 21280, 236761, 138, 107, 236772, 1701, 9691, 11103, 211194, 236764, 1966, 5213, 184624, 66342, 1018, 568, 236744, 236761, 236759, 1126, 32581, 163917, 1651, 49115, 607, 496, 15808, 27263, 769, 138, 108, 38786, 611, 1133, 531, 59638, 506, 13294, 21238, 653, 6253, 506, 8774, 10368, 3342, 236881, 178829, 252312, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 1873, 2634, 3325, 3546, 528, 8927, 11518, 236764, 63346, 236764, 532, 8701, 837, 54612, 2473, 577, 21574, 3732, 2404, 236881, 564, 236858, 560, 14275, 1070, 160212, 580, 1041, 30336, 6895, 532, 1461, 531, 6157, 855, 8646, 5872, 1680, 39919, 1041, 49115, 4313, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21101, 236747, 1083, 236743, 236832, 236828, 236764, 623, 15455, 236779, 38109, 199501, 1083, 623, 236806, 13873, 568, 236806, 236800, 22730, 623, 38109, 550, 1639, 1083, 78493, 1201, 1083, 623, 236806, 13873, 827, 623, 2394, 1083, 236743, 236771, 236761, 236771, 236828, 236764, 623, 6805, 1083, 623, 41759, 827, 623, 16602, 236779, 62580, 1083, 623, 166920, 753, 3353, 4208, 3732, 18133, 4056, 1292, 532, 3877, 23179, 3714, 1201, 1083, 623, 10192, 236778, 236761, 236810, 827, 623, 2394, 1083, 236743, 236778, 236828, 236764, 623, 6805, 1083, 6443, 236756, 236771, 236771, 236763, 236810, 236759, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 16602, 236779, 62580, 1083, 623, 11947, 753, 60217, 1982, 3732, 4100, 657, 672, 1984, 23179, 3714, 1201, 1083, 623, 229076, 556, 169828, 827, 623, 2394, 1083, 236743, 236770, 236778, 236764, 623, 6805, 1083, 623, 174974, 827, 623, 16602, 236779, 62580, 1083, 623, 11947, 753, 30164, 573, 3732, 10885, 25938, 1604, 623, 7125, 1083, 3714, 13319, 1083, 623, 40740, 11518, 827, 623, 3255, 1083, 623, 38354, 827, 623, 14801, 1083, 623, 3118, 23179, 623, 16602, 236779, 110444, 1083, 3714, 51015, 1083, 623, 114954, 774, 55767, 4535, 568, 236771, 236761, 236771, 236828, 52460, 236768, 1149, 4400, 11463, 12413, 6015, 532, 7005, 93036, 528, 13719, 5557, 1133, 29979, 236761, 14066, 11734, 9295, 21708, 532, 34685, 4535, 16195, 2634, 3325, 573, 13611, 3732, 2404, 10834, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1873, 2634, 3325, 528, 8927, 11518, 236764, 63346, 815, 614, 95915, 236777, 529, 236743, 236832, 236828, 568, 166920, 779, 607, 5213, 235919, 568, 236806, 245835, 62902, 618, 506, 5905, 114447, 657, 236743, 236771, 236761, 236771, 236828, 52460, 236761, 1174, 1984, 529, 55767, 740, 6439, 3732, 3877, 532, 4400, 11463, 12413, 6015, 568, 23861, 522, 236768, 528, 13719, 5557, 1133, 29979, 236761, 5978, 8711, 236778, 236761, 236810, 532, 31742, 26314, 4535, 659, 2351, 6338, 21280, 573, 6485, 236764, 23464, 55767, 1149, 13157, 531, 506, 11463, 160212, 611, 236789, 500, 37497, 236761, 108, 1018, 3503, 6555, 531, 3421, 672, 53121, 107, 236770, 236761, 5213, 52804, 21238, 53121, 155100, 4535, 3187, 11519, 528, 17635, 236764, 6962, 7606, 236761, 7179, 768, 10684, 122274, 1913, 1494, 236772, 235919, 2668, 236761, 107, 236778, 236761, 5213, 150008, 2404, 53121, 5803, 9295, 21708, 532, 34685, 4535, 236764, 618, 55767, 5013, 740, 62611, 34685, 56080, 236761, 107, 236800, 236761, 5213, 25151, 32032, 8073, 53121, 14066, 1699, 23791, 20182, 653, 29080, 55767, 236772, 176270, 21215, 528, 3402, 18046, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 59536, 9295, 1594, 2536, 653, 8159, 114447, 236772, 176270, 3732, 21215, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 14984, 236761, 28344, 611, 5840, 3530, 55767, 236772, 176270, 25357, 21215, 9273, 573, 1023, 10022, 1590, 528, 8927, 11518, 236881, 564, 236858, 236753, 1133, 531, 2056, 29444, 29080, 607, 2613, 51687, 840, 2036, 23904, 573, 2148, 3409, 236761, 106, 107, 105, 4368, 107, 8409, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 15078, 34438, 573, 3732, 6236, 15136, 568, 3307, 6436, 3213, 580, 8646, 1262, 1133, 2634, 3325, 779, 564, 740, 4024, 2870, 14984, 2721, 580, 3224, 55767, 236772, 176270, 5557, 532, 29444, 29080, 12466, 9273, 573, 97504, 93952, 1133, 24394, 236789, 236751, 236787, 108, 1018, 236806, 13873, 236772, 236774, 34819, 638, 115346, 53121, 107, 236770, 236761, 5213, 23889, 15202, 1018, 568, 236744, 236761, 236759, 1126, 756, 71878, 28776, 963, 756, 18318, 1834, 2389, 236789, 753, 43257, 573, 5013, 26759, 236768, 107, 236778, 236761, 5213, 75971, 118188, 1018, 568, 236744, 236761, 236759, 1126, 756, 9629, 963, 756, 111927, 9595, 9630, 1606, 107, 236800, 236761, 5213, 9767, 153373, 1018, 568, 236744, 236761, 236759, 1126, 756, 236797, 6396, 963, 756, 23969, 1121, 1606, 107, 236812, 236761, 5213, 90772, 17737, 1018, 568, 236744, 236761, 236759, 1126, 756, 91285, 215265, 963, 756, 9264, 220712, 1606, 107, 236810, 236761, 5213, 17222, 8546, 1018, 568, 236744, 236761, 236759, 1126, 756, 125054, 51254, 963, 756, 42150, 51143, 1606, 108, 1018, 191130, 168495, 62382, 53121, 107, 236772, 58108, 29979, 607, 5213, 10162, 543, 1018, 568, 26387, 1416, 53235, 236768, 653, 5213, 4545, 554, 3601, 1018, 568, 236749, 17131, 984, 37184, 236768, 107, 236772, 15904, 5213, 25506, 1018, 16195, 5213, 36487, 1018, 568, 186131, 56480, 236768, 532, 5213, 23767, 1316, 1018, 568, 1391, 2890, 236768, 107, 236772, 4471, 14081, 5213, 4554, 153373, 1018, 607, 5213, 498, 878, 1018, 653, 5213, 519, 21531, 1018, 568, 10331, 1930, 53235, 236768, 108, 1018, 27779, 33879, 53121, 107, 236772, 30235, 580, 9295, 2404, 607, 44166, 531, 11345, 3732, 5013, 107, 236772, 6890, 118559, 531, 64953, 20511, 532, 6439, 55767, 35433, 1343, 14546, 107, 236772, 14066, 8675, 21622, 573, 2480, 30849, 532, 5989, 2404, 108, 2542, 10835, 236772, 6047, 15136, 236764, 3662, 506, 5213, 30582, 529, 24394, 83013, 38580, 6007, 1018, 568, 20890, 735, 4128, 236772, 15396, 7464, 1262, 769, 21284, 611, 1133, 1601, 8159, 910, 3662, 1938, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 2634, 3325, 528, 14942, 21274, 1133, 32885, 6914, 653, 26962, 531, 1460, 768, 55767, 4535, 9729, 8792, 236881, 564, 236858, 236757, 23210, 768, 135486, 1070, 6485, 531, 496, 4389, 236858, 236751, 7972, 528, 496, 3718, 236772, 235919, 2433, 2473, 1601, 236764, 3635, 564, 1281, 600, 236858, 236751, 711, 10231, 1440, 236772, 6061, 236761, 19238, 236764, 625, 236858, 236753, 577, 6121, 531, 10769, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 3714, 13319, 1083, 623, 106358, 6914, 827, 623, 3255, 1083, 623, 38354, 827, 623, 14801, 1083, 623, 3118, 23179, 623, 21101, 236747, 1083, 236743, 236832, 236778, 236764, 623, 38109, 550, 1639, 1083, 3714, 235919, 1083, 236743, 236825, 236810, 236764, 623, 3840, 236778, 236810, 1083, 236743, 236770, 236778, 236764, 623, 3840, 236770, 236771, 1083, 236743, 236778, 236828, 236764, 623, 25510, 236779, 3419, 23108, 1083, 236743, 236771, 236761, 236825, 236764, 623, 17951, 556, 236779, 221466, 1083, 236743, 236770, 236770, 236764, 623, 186131, 236779, 221466, 1083, 236743, 236778, 236800, 1263, 623, 16602, 236779, 548, 62546, 1083, 623, 17995, 3325, 563, 20626, 6782, 236764, 840, 55767, 4535, 1149, 577, 496, 4561, 573, 13719, 4402, 236761, 14066, 24725, 35269, 11690, 130484, 768, 61022, 13719, 531, 2634, 19392, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 107936, 827, 623, 3255, 1083, 623, 38354, 827, 623, 14801, 1083, 623, 3118, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236778, 236764, 623, 3840, 236770, 236771, 1083, 236743, 236778, 236828, 236764, 623, 235919, 1083, 236743, 236810, 236812, 236764, 623, 25510, 236779, 3419, 23108, 1083, 236743, 236771, 236761, 236825, 236764, 623, 17951, 556, 236779, 221466, 1083, 236743, 236810, 236764, 623, 186131, 236779, 221466, 1083, 236743, 236770, 236828, 1263, 623, 88933, 1083, 3714, 106358, 6914, 1083, 3714, 21101, 236747, 1083, 236743, 236810, 236828, 236764, 623, 235919, 1083, 236743, 236825, 236832, 5237, 623, 16602, 236779, 553, 176680, 1083, 623, 17995, 3325, 563, 1535, 236761, 155100, 4535, 528, 26962, 659, 21037, 5483, 531, 32885, 6914, 236761, 14063, 236772, 6061, 3732, 66728, 1149, 1460, 9875, 6417, 236764, 840, 1440, 236772, 6061, 5434, 1374, 3213, 580, 2634, 3325, 11531, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 1873, 2634, 3325, 528, 8927, 11518, 532, 506, 14942, 21274, 236787, 108, 1018, 40740, 11518, 236764, 63346, 1018, 107, 236772, 95915, 236777, 236787, 236743, 236832, 236828, 568, 166920, 236768, 107, 236772, 155100, 568, 236806, 245835, 1473, 236743, 236771, 236761, 236771, 236828, 52460, 568, 236828, 236771, 185986, 236768, 1271, 5905, 114447, 107, 236772, 15748, 4100, 236787, 127786, 11463, 12413, 6015, 2653, 528, 13719, 5557, 108, 1018, 106358, 6914, 236764, 63346, 1018, 107, 236772, 95915, 236777, 236787, 236743, 236832, 236778, 568, 166920, 236768, 107, 236772, 155100, 236787, 236743, 236825, 236810, 185986, 568, 236771, 236761, 236771, 236825, 236810, 52460, 236768, 107, 236772, 4040, 13607, 1090, 236787, 8711, 236778, 236761, 236810, 236743, 236770, 236778, 36434, 236759, 236786, 236757, 145020, 8711, 236770, 236771, 236743, 236778, 236828, 36434, 236759, 236786, 236757, 239158, 108, 1018, 107936, 236764, 63346, 1018, 107, 236772, 95915, 236777, 236787, 236743, 236812, 236810, 568, 11947, 236768, 107, 236772, 155100, 236787, 236743, 236810, 236812, 185986, 568, 236771, 236761, 236771, 236810, 236812, 52460, 236768, 107, 236772, 4040, 13607, 1090, 236787, 8711, 236778, 236761, 236810, 236743, 236770, 236778, 36434, 236759, 236786, 236757, 145020, 8711, 236770, 236771, 236743, 236778, 236828, 36434, 236759, 236786, 236757, 239158, 108, 8409, 26962, 3831, 236743, 236770, 236825, 236908, 3718, 55767, 4535, 1082, 8927, 11518, 236764, 506, 8798, 1534, 1239, 38477, 21274, 659, 9150, 1944, 236761, 1701, 5577, 236787, 107, 236772, 36351, 55767, 14272, 236787, 236743, 236832, 236771, 185986, 568, 236828, 236772, 13807, 4398, 236768, 573, 623, 602, 37841, 573, 13719, 4402, 236775, 107, 236772, 96294, 55767, 17511, 14272, 236787, 236743, 236812, 236771, 236772, 236828, 236771, 185986, 10167, 580, 10885, 12032, 108, 1018, 121435, 107452, 53121, 107, 236770, 236761, 14063, 236772, 6061, 3732, 66728, 531, 26962, 2473, 6439, 11325, 10684, 684, 2578, 236778, 236771, 236908, 2721, 580, 1873, 1262, 107, 236778, 236761, 15103, 66518, 8798, 568, 104849, 236764, 31992, 236768, 528, 822, 4389, 236789, 236751, 7972, 1451, 735, 21425, 4100, 531, 55767, 13041, 107, 236800, 236761, 48196, 2404, 532, 33314, 10154, 795, 4547, 4208, 3732, 35691, 919, 8792, 1082, 1239, 30997, 2634, 3325, 8798, 108, 38786, 611, 1133, 786, 531, 1601, 9279, 506, 5149, 1534, 1239, 21274, 531, 5608, 66728, 48851, 236881, 2408, 11327, 2708, 236772, 13769, 2634, 40330, 3835, 573, 7972, 4719, 116386, 1090, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 1873, 2634, 3325, 3546, 528, 8927, 11518, 236764, 63346, 236764, 532, 8701, 837, 54612, 2473, 577, 21574, 3732, 2404, 236881, 564, 236858, 560, 14275, 1070, 160212, 580, 1041, 30336, 6895, 532, 1461, 531, 6157, 855, 8646, 5872, 1680, 39919, 1041, 49115, 4313, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21101, 236747, 1083, 236743, 236832, 236828, 236764, 623, 15455, 236779, 38109, 199501, 1083, 623, 236806, 13873, 568, 236806, 236800, 22730, 623, 38109, 550, 1639, 1083, 78493, 1201, 1083, 623, 236806, 13873, 827, 623, 2394, 1083, 236743, 236771, 236761, 236771, 236828, 236764, 623, 6805, 1083, 623, 41759, 827, 623, 16602, 236779, 62580, 1083, 623, 166920, 753, 3353, 4208, 3732, 18133, 4056, 1292, 532, 3877, 23179, 3714, 1201, 1083, 623, 10192, 236778, 236761, 236810, 827, 623, 2394, 1083, 236743, 236778, 236828, 236764, 623, 6805, 1083, 6443, 236756, 236771, 236771, 236763, 236810, 236759, 236786, 236757, 236785, 236756, 236771, 236771, 236763, 236800, 827, 623, 16602, 236779, 62580, 1083, 623, 11947, 753, 60217, 1982, 3732, 4100, 657, 672, 1984, 23179, 3714, 1201, 1083, 623, 229076, 556, 169828, 827, 623, 2394, 1083, 236743, 236770, 236778, 236764, 623, 6805, 1083, 623, 174974, 827, 623, 16602, 236779, 62580, 1083, 623, 11947, 753, 30164, 573, 3732, 10885, 25938, 1604, 623, 7125, 1083, 3714, 13319, 1083, 623, 40740, 11518, 827, 623, 3255, 1083, 623, 38354, 827, 623, 14801, 1083, 623, 3118, 23179, 623, 16602, 236779, 110444, 1083, 3714, 51015, 1083, 623, 114954, 774, 55767, 4535, 568, 236771, 236761, 236771, 236828, 52460, 236768, 1149, 4400, 11463, 12413, 6015, 532, 7005, 93036, 528, 13719, 5557, 1133, 29979, 236761, 14066, 11734, 9295, 21708, 532, 34685, 4535, 16195, 2634, 3325, 573, 13611, 3732, 2404, 10834, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1873, 2634, 3325, 528, 8927, 11518, 236764, 63346, 815, 614, 95915, 236777, 529, 236743, 236832, 236828, 568, 166920, 779, 607, 5213, 235919, 568, 236806, 245835, 62902, 618, 506, 5905, 114447, 657, 236743, 236771, 236761, 236771, 236828, 52460, 236761, 1174, 1984, 529, 55767, 740, 6439, 3732, 3877, 532, 4400, 11463, 12413, 6015, 568, 23861, 522, 236768, 528, 13719, 5557, 1133, 29979, 236761, 5978, 8711, 236778, 236761, 236810, 532, 31742, 26314, 4535, 659, 2351, 6338, 21280, 573, 6485, 236764, 23464, 55767, 1149, 13157, 531, 506, 11463, 160212, 611, 236789, 500, 37497, 236761, 108, 1018, 3503, 6555, 531, 3421, 672, 53121, 107, 236770, 236761, 5213, 52804, 21238, 53121, 155100, 4535, 3187, 11519, 528, 17635, 236764, 6962, 7606, 236761, 7179, 768, 10684, 122274, 1913, 1494, 236772, 235919, 2668, 236761, 107, 236778, 236761, 5213, 150008, 2404, 53121, 5803, 9295, 21708, 532, 34685, 4535, 236764, 618, 55767, 5013, 740, 62611, 34685, 56080, 236761, 107, 236800, 236761, 5213, 25151, 32032, 8073, 53121, 14066, 1699, 23791, 20182, 653, 29080, 55767, 236772, 176270, 21215, 528, 3402, 18046, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 59536, 9295, 1594, 2536, 653, 8159, 114447, 236772, 176270, 3732, 21215, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 14984, 236761, 28344, 611, 5840, 3530, 55767, 236772, 176270, 25357, 21215, 9273, 573, 1023, 10022, 1590, 528, 8927, 11518, 236881, 564, 236858, 236753, 1133, 531, 2056, 29444, 29080, 607, 2613, 51687, 840, 2036, 23904, 573, 2148, 3409, 236761, 106, 107, 105, 4368, 107, 8409, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 15078, 34438, 573, 3732, 6236, 15136, 568, 3307, 6436, 3213, 580, 8646, 1262, 1133, 2634, 3325, 779, 564, 740, 4024, 2870, 14984, 2721, 580, 3224, 55767, 236772, 176270, 5557, 532, 29444, 29080, 12466, 9273, 573, 97504, 93952, 1133, 24394, 236789, 236751, 236787, 108, 1018, 236806, 13873, 236772, 236774, 34819, 638, 115346, 53121, 107, 236770, 236761, 5213, 23889, 15202, 1018, 568, 236744, 236761, 236759, 1126, 756, 71878, 28776, 963, 756, 18318, 1834, 2389, 236789, 753, 43257, 573, 5013, 26759, 236768, 107, 236778, 236761, 5213, 75971, 118188, 1018, 568, 236744, 236761, 236759, 1126, 756, 9629, 963, 756, 111927, 9595, 9630, 1606, 107, 236800, 236761, 5213, 9767, 153373, 1018, 568, 236744, 236761, 236759, 1126, 756, 236797, 6396, 963, 756, 23969, 1121, 1606, 107, 236812, 236761, 5213, 90772, 17737, 1018, 568, 236744, 236761, 236759, 1126, 756, 91285, 215265, 963, 756, 9264, 220712, 1606, 107, 236810, 236761, 5213, 17222, 8546, 1018, 568, 236744, 236761, 236759, 1126, 756, 125054, 51254, 963, 756, 42150, 51143, 1606, 108, 1018, 191130, 168495, 62382, 53121, 107, 236772, 58108, 29979, 607, 5213, 10162, 543, 1018, 568, 26387, 1416, 53235, 236768, 653, 5213, 4545, 554, 3601, 1018, 568, 236749, 17131, 984, 37184, 236768, 107, 236772, 15904, 5213, 25506, 1018, 16195, 5213, 36487, 1018, 568, 186131, 56480, 236768, 532, 5213, 23767, 1316, 1018, 568, 1391, 2890, 236768, 107, 236772, 4471, 14081, 5213, 4554, 153373, 1018, 607, 5213, 498, 878, 1018, 653, 5213, 519, 21531, 1018, 568, 10331, 1930, 53235, 236768, 108, 1018, 27779, 33879, 53121, 107, 236772, 30235, 580, 9295, 2404, 607, 44166, 531, 11345, 3732, 5013, 107, 236772, 6890, 118559, 531, 64953, 20511, 532, 6439, 55767, 35433, 1343, 14546, 107, 236772, 14066, 8675, 21622, 573, 2480, 30849, 532, 5989, 2404, 108, 2542, 10835, 236772, 6047, 15136, 236764, 3662, 506, 5213, 30582, 529, 24394, 83013, 38580, 6007, 1018, 568, 20890, 735, 4128, 236772, 15396, 7464, 1262, 769, 21284, 611, 1133, 1601, 8159, 910, 3662, 1938, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 2634, 3325, 528, 14942, 21274, 1133, 32885, 6914, 653, 26962, 531, 1460, 768, 55767, 4535, 9729, 8792, 236881, 564, 236858, 236757, 23210, 768, 135486, 1070, 6485, 531, 496, 4389, 236858, 236751, 7972, 528, 496, 3718, 236772, 235919, 2433, 2473, 1601, 236764, 3635, 564, 1281, 600, 236858, 236751, 711, 10231, 1440, 236772, 6061, 236761, 19238, 236764, 625, 236858, 236753, 577, 6121, 531, 10769, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 3714, 13319, 1083, 623, 106358, 6914, 827, 623, 3255, 1083, 623, 38354, 827, 623, 14801, 1083, 623, 3118, 23179, 623, 21101, 236747, 1083, 236743, 236832, 236778, 236764, 623, 38109, 550, 1639, 1083, 3714, 235919, 1083, 236743, 236825, 236810, 236764, 623, 3840, 236778, 236810, 1083, 236743, 236770, 236778, 236764, 623, 3840, 236770, 236771, 1083, 236743, 236778, 236828, 236764, 623, 25510, 236779, 3419, 23108, 1083, 236743, 236771, 236761, 236825, 236764, 623, 17951, 556, 236779, 221466, 1083, 236743, 236770, 236770, 236764, 623, 186131, 236779, 221466, 1083, 236743, 236778, 236800, 1263, 623, 16602, 236779, 548, 62546, 1083, 623, 17995, 3325, 563, 20626, 6782, 236764, 840, 55767, 4535, 1149, 577, 496, 4561, 573, 13719, 4402, 236761, 14066, 24725, 35269, 11690, 130484, 768, 61022, 13719, 531, 2634, 19392, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 107936, 827, 623, 3255, 1083, 623, 38354, 827, 623, 14801, 1083, 623, 3118, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236778, 236764, 623, 3840, 236770, 236771, 1083, 236743, 236778, 236828, 236764, 623, 235919, 1083, 236743, 236810, 236812, 236764, 623, 25510, 236779, 3419, 23108, 1083, 236743, 236771, 236761, 236825, 236764, 623, 17951, 556, 236779, 221466, 1083, 236743, 236810, 236764, 623, 186131, 236779, 221466, 1083, 236743, 236770, 236828, 1263, 623, 88933, 1083, 3714, 106358, 6914, 1083, 3714, 21101, 236747, 1083, 236743, 236810, 236828, 236764, 623, 235919, 1083, 236743, 236825, 236832, 5237, 623, 16602, 236779, 553, 176680, 1083, 623, 17995, 3325, 563, 1535, 236761, 155100, 4535, 528, 26962, 659, 21037, 5483, 531, 32885, 6914, 236761, 14063, 236772, 6061, 3732, 66728, 1149, 1460, 9875, 6417, 236764, 840, 1440, 236772, 6061, 5434, 1374, 3213, 580, 2634, 3325, 11531, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 1873, 2634, 3325, 528, 8927, 11518, 532, 506, 14942, 21274, 236787, 108, 1018, 40740, 11518, 236764, 63346, 1018, 107, 236772, 95915, 236777, 236787, 236743, 236832, 236828, 568, 166920, 236768, 107, 236772, 155100, 568, 236806, 245835, 1473, 236743, 236771, 236761, 236771, 236828, 52460, 568, 236828, 236771, 185986, 236768, 1271, 5905, 114447, 107, 236772, 15748, 4100, 236787, 127786, 11463, 12413, 6015, 2653, 528, 13719, 5557, 108, 1018, 106358, 6914, 236764, 63346, 1018, 107, 236772, 95915, 236777, 236787, 236743, 236832, 236778, 568, 166920, 236768, 107, 236772, 155100, 236787, 236743, 236825, 236810, 185986, 568, 236771, 236761, 236771, 236825, 236810, 52460, 236768, 107, 236772, 4040, 13607, 1090, 236787, 8711, 236778, 236761, 236810, 236743, 236770, 236778, 36434, 236759, 236786, 236757, 145020, 8711, 236770, 236771, 236743, 236778, 236828, 36434, 236759, 236786, 236757, 239158, 108, 1018, 107936, 236764, 63346, 1018, 107, 236772, 95915, 236777, 236787, 236743, 236812, 236810, 568, 11947, 236768, 107, 236772, 155100, 236787, 236743, 236810, 236812, 185986, 568, 236771, 236761, 236771, 236810, 236812, 52460, 236768, 107, 236772, 4040, 13607, 1090, 236787, 8711, 236778, 236761, 236810, 236743, 236770, 236778, 36434, 236759, 236786, 236757, 145020, 8711, 236770, 236771, 236743, 236778, 236828, 36434, 236759, 236786, 236757, 239158, 108, 8409, 26962, 3831, 236743, 236770, 236825, 236908, 3718, 55767, 4535, 1082, 8927, 11518, 236764, 506, 8798, 1534, 1239, 38477, 21274, 659, 9150, 1944, 236761, 1701, 5577, 236787, 107, 236772, 36351, 55767, 14272, 236787, 236743, 236832, 236771, 185986, 568, 236828, 236772, 13807, 4398, 236768, 573, 623, 602, 37841, 573, 13719, 4402, 236775, 107, 236772, 96294, 55767, 17511, 14272, 236787, 236743, 236812, 236771, 236772, 236828, 236771, 185986, 10167, 580, 10885, 12032, 108, 1018, 121435, 107452, 53121, 107, 236770, 236761, 14063, 236772, 6061, 3732, 66728, 531, 26962, 2473, 6439, 11325, 10684, 684, 2578, 236778, 236771, 236908, 2721, 580, 1873, 1262, 107, 236778, 236761, 15103, 66518, 8798, 568, 104849, 236764, 31992, 236768, 528, 822, 4389, 236789, 236751, 7972, 1451, 735, 21425, 4100, 531, 55767, 13041, 107, 236800, 236761, 48196, 2404, 532, 33314, 10154, 795, 4547, 4208, 3732, 35691, 919, 8792, 1082, 1239, 30997, 2634, 3325, 8798, 108, 38786, 611, 1133, 786, 531, 1601, 9279, 506, 5149, 1534, 1239, 21274, 531, 5608, 66728, 48851, 236881, 2408, 11327, 2708, 236772, 13769, 2634, 40330, 3835, 573, 7972, 4719, 116386, 1090, 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, 30493, 496, 3399, 40052, 573, 1041, 8268, 63287, 236764, 532, 692, 1202, 496, 1535, 11690, 2557, 236761, 28344, 611, 1601, 786, 1586, 24682, 3541, 1041, 4563, 528, 10561, 236881, 564, 1461, 531, 2426, 837, 5906, 735, 40052, 4106, 532, 659, 2351, 496, 10559, 5149, 573, 4677, 531, 4301, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 86396, 695, 14942, 1298, 564, 1451, 1900, 1070, 104568, 573, 506, 2460, 236764, 600, 1093, 577, 496, 16201, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 21999, 50661, 4556, 827, 623, 7720, 1083, 623, 236778, 236771, 236770, 645, 94755, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 827, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 16518, 1083, 11058, 19434, 10023, 4106, 827, 623, 81234, 33398, 827, 623, 2153, 1610, 152254, 3714, 1201, 1083, 623, 67166, 4556, 827, 623, 7720, 1083, 623, 236800, 236800, 236832, 645, 94755, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 827, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 16518, 1083, 11058, 67637, 7171, 2802, 827, 623, 5265, 9917, 4106, 827, 623, 95936, 16412, 152254, 3714, 1201, 1083, 623, 119978, 4556, 827, 623, 7720, 1083, 623, 236778, 236771, 236812, 236810, 646, 26123, 4556, 4844, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236812, 827, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 16518, 1083, 11058, 97370, 827, 623, 9610, 184165, 26318, 827, 623, 19434, 10023, 154863, 99471, 1604, 623, 182119, 236779, 236763, 4555, 695, 1083, 78493, 1201, 1083, 623, 6720, 700, 7338, 108825, 827, 623, 7720, 1083, 623, 236770, 236828, 236810, 236771, 649, 88655, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236800, 236778, 236771, 236771, 1263, 3714, 1201, 1083, 623, 59591, 151131, 236789, 236751, 603, 1950, 30554, 827, 623, 7720, 1083, 623, 236778, 236770, 236800, 236819, 555, 15786, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236825, 827, 623, 17178, 236779, 89803, 1083, 236743, 236812, 236832, 236771, 236771, 104960, 623, 14210, 1083, 623, 116832, 695, 5012, 528, 2536, 618, 15633, 236761, 1701, 9813, 61537, 1938, 236764, 496, 7732, 756, 48792, 978, 236789, 1722, 3927, 563, 10325, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 818, 10561, 60072, 6503, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 649, 7997, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236810, 236812, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 17178, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 2084, 1083, 623, 48792, 978, 23179, 3714, 1201, 1083, 623, 59591, 151131, 236789, 236751, 108825, 833, 48127, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 646, 14564, 15096, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236812, 236778, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 2084, 1083, 623, 48792, 978, 23179, 3714, 1201, 1083, 623, 6720, 700, 833, 2372, 236761, 193030, 108825, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 555, 18093, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 2084, 1083, 623, 48792, 978, 25938, 1604, 623, 6011, 1083, 623, 11099, 236743, 236800, 86396, 695, 2351, 236743, 236810, 236771, 236771, 236771, 15930, 529, 822, 4563, 236761, 8231, 236772, 7577, 3835, 3204, 669, 10561, 60072, 6503, 568, 236812, 236761, 236832, 236785, 236756, 236778, 236825, 236771, 236810, 236764, 236743, 236770, 236761, 236778, 11375, 3121, 236768, 532, 32277, 151131, 236789, 236751, 108825, 568, 236812, 236761, 236810, 236785, 236756, 236778, 236825, 236771, 236810, 236764, 236743, 236778, 236761, 236828, 11375, 3121, 769, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 7516, 3835, 573, 822, 3399, 40052, 532, 63004, 3548, 528, 10561, 236787, 108, 1018, 8534, 4556, 122384, 53121, 107, 236770, 236761, 5213, 21999, 50661, 4556, 1018, 568, 236770, 236761, 236778, 7251, 3121, 236768, 138, 107, 139, 236772, 25772, 236787, 170757, 4106, 236764, 11690, 33398, 236764, 1237, 1610, 138, 107, 139, 236772, 15874, 236787, 236743, 236778, 236771, 236770, 645, 94755, 842, 138, 107, 139, 236772, 45891, 573, 1061, 6082, 4563, 532, 62913, 33398, 4106, 236761, 108, 236778, 236761, 5213, 119978, 4556, 1018, 568, 236812, 236761, 236810, 7251, 3121, 236768, 138, 107, 139, 236772, 25772, 236787, 170757, 154863, 236764, 37456, 525, 26318, 236764, 48971, 138, 107, 139, 236772, 15874, 236787, 236743, 236778, 236771, 236812, 236810, 646, 26123, 4556, 4844, 138, 107, 139, 236772, 8098, 573, 6268, 4402, 607, 41997, 16746, 3541, 506, 26318, 236761, 108, 1018, 165216, 28955, 695, 573, 20349, 2302, 53121, 107, 236772, 5213, 818, 10561, 60072, 6503, 1018, 568, 236770, 236761, 236778, 7251, 3121, 236764, 136723, 236743, 236812, 236761, 236832, 236768, 138, 107, 138, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 649, 7997, 18977, 138, 107, 138, 236772, 64069, 573, 5756, 172429, 532, 2401, 2455, 10400, 236761, 107, 236772, 5213, 59591, 151131, 236789, 236751, 108825, 833, 48127, 1018, 568, 236778, 236761, 236828, 7251, 3121, 236764, 136723, 236743, 236812, 236761, 236810, 236768, 138, 107, 138, 236772, 15874, 236787, 236743, 236812, 236810, 236825, 646, 14564, 15096, 842, 138, 107, 138, 236772, 80007, 496, 6236, 529, 104568, 532, 3649, 35312, 3835, 236761, 108, 38786, 611, 1133, 1601, 16329, 15830, 573, 496, 3530, 3433, 657, 886, 529, 506, 24682, 653, 22516, 614, 1900, 657, 496, 61537, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 30493, 496, 3399, 40052, 573, 1041, 8268, 63287, 236764, 532, 692, 1202, 496, 1535, 11690, 2557, 236761, 28344, 611, 1601, 786, 1586, 24682, 3541, 1041, 4563, 528, 10561, 236881, 564, 1461, 531, 2426, 837, 5906, 735, 40052, 4106, 532, 659, 2351, 496, 10559, 5149, 573, 4677, 531, 4301, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 86396, 695, 14942, 1298, 564, 1451, 1900, 1070, 104568, 573, 506, 2460, 236764, 600, 1093, 577, 496, 16201, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 21999, 50661, 4556, 827, 623, 7720, 1083, 623, 236778, 236771, 236770, 645, 94755, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 827, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 16518, 1083, 11058, 19434, 10023, 4106, 827, 623, 81234, 33398, 827, 623, 2153, 1610, 152254, 3714, 1201, 1083, 623, 67166, 4556, 827, 623, 7720, 1083, 623, 236800, 236800, 236832, 645, 94755, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 827, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 16518, 1083, 11058, 67637, 7171, 2802, 827, 623, 5265, 9917, 4106, 827, 623, 95936, 16412, 152254, 3714, 1201, 1083, 623, 119978, 4556, 827, 623, 7720, 1083, 623, 236778, 236771, 236812, 236810, 646, 26123, 4556, 4844, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236812, 827, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 16518, 1083, 11058, 97370, 827, 623, 9610, 184165, 26318, 827, 623, 19434, 10023, 154863, 99471, 1604, 623, 182119, 236779, 236763, 4555, 695, 1083, 78493, 1201, 1083, 623, 6720, 700, 7338, 108825, 827, 623, 7720, 1083, 623, 236770, 236828, 236810, 236771, 649, 88655, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236800, 236778, 236771, 236771, 1263, 3714, 1201, 1083, 623, 59591, 151131, 236789, 236751, 603, 1950, 30554, 827, 623, 7720, 1083, 623, 236778, 236770, 236800, 236819, 555, 15786, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236825, 827, 623, 17178, 236779, 89803, 1083, 236743, 236812, 236832, 236771, 236771, 104960, 623, 14210, 1083, 623, 116832, 695, 5012, 528, 2536, 618, 15633, 236761, 1701, 9813, 61537, 1938, 236764, 496, 7732, 756, 48792, 978, 236789, 1722, 3927, 563, 10325, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 818, 10561, 60072, 6503, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 649, 7997, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236810, 236812, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 17178, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 2084, 1083, 623, 48792, 978, 23179, 3714, 1201, 1083, 623, 59591, 151131, 236789, 236751, 108825, 833, 48127, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 646, 14564, 15096, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236812, 236778, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 2084, 1083, 623, 48792, 978, 23179, 3714, 1201, 1083, 623, 6720, 700, 833, 2372, 236761, 193030, 108825, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 555, 18093, 842, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 2084, 1083, 623, 48792, 978, 25938, 1604, 623, 6011, 1083, 623, 11099, 236743, 236800, 86396, 695, 2351, 236743, 236810, 236771, 236771, 236771, 15930, 529, 822, 4563, 236761, 8231, 236772, 7577, 3835, 3204, 669, 10561, 60072, 6503, 568, 236812, 236761, 236832, 236785, 236756, 236778, 236825, 236771, 236810, 236764, 236743, 236770, 236761, 236778, 11375, 3121, 236768, 532, 32277, 151131, 236789, 236751, 108825, 568, 236812, 236761, 236810, 236785, 236756, 236778, 236825, 236771, 236810, 236764, 236743, 236778, 236761, 236828, 11375, 3121, 769, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 7516, 3835, 573, 822, 3399, 40052, 532, 63004, 3548, 528, 10561, 236787, 108, 1018, 8534, 4556, 122384, 53121, 107, 236770, 236761, 5213, 21999, 50661, 4556, 1018, 568, 236770, 236761, 236778, 7251, 3121, 236768, 138, 107, 139, 236772, 25772, 236787, 170757, 4106, 236764, 11690, 33398, 236764, 1237, 1610, 138, 107, 139, 236772, 15874, 236787, 236743, 236778, 236771, 236770, 645, 94755, 842, 138, 107, 139, 236772, 45891, 573, 1061, 6082, 4563, 532, 62913, 33398, 4106, 236761, 108, 236778, 236761, 5213, 119978, 4556, 1018, 568, 236812, 236761, 236810, 7251, 3121, 236768, 138, 107, 139, 236772, 25772, 236787, 170757, 154863, 236764, 37456, 525, 26318, 236764, 48971, 138, 107, 139, 236772, 15874, 236787, 236743, 236778, 236771, 236812, 236810, 646, 26123, 4556, 4844, 138, 107, 139, 236772, 8098, 573, 6268, 4402, 607, 41997, 16746, 3541, 506, 26318, 236761, 108, 1018, 165216, 28955, 695, 573, 20349, 2302, 53121, 107, 236772, 5213, 818, 10561, 60072, 6503, 1018, 568, 236770, 236761, 236778, 7251, 3121, 236764, 136723, 236743, 236812, 236761, 236832, 236768, 138, 107, 138, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 649, 7997, 18977, 138, 107, 138, 236772, 64069, 573, 5756, 172429, 532, 2401, 2455, 10400, 236761, 107, 236772, 5213, 59591, 151131, 236789, 236751, 108825, 833, 48127, 1018, 568, 236778, 236761, 236828, 7251, 3121, 236764, 136723, 236743, 236812, 236761, 236810, 236768, 138, 107, 138, 236772, 15874, 236787, 236743, 236812, 236810, 236825, 646, 14564, 15096, 842, 138, 107, 138, 236772, 80007, 496, 6236, 529, 104568, 532, 3649, 35312, 3835, 236761, 108, 38786, 611, 1133, 1601, 16329, 15830, 573, 496, 3530, 3433, 657, 886, 529, 506, 24682, 653, 22516, 614, 1900, 657, 496, 61537, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 72890, 496, 52785, 2881, 573, 1041, 4408, 236789, 236751, 2434, 26937, 6436, 236761, 564, 735, 506, 5154, 1548, 32156, 236770, 236819, 236771, 236832, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 236768, 532, 9299, 28150, 568, 3677, 236779, 547, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236764, 14017, 236779, 11240, 236787, 623, 108250, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 4248, 564, 3265, 496, 3393, 2864, 6517, 236764, 840, 506, 2434, 18116, 236789, 236745, 4461, 625, 3819, 236761, 28344, 611, 1601, 786, 2426, 506, 14209, 4981, 1651, 992, 81297, 496, 861, 886, 236772, 2289, 3393, 2864, 236881, 564, 1461, 531, 1386, 2889, 692, 236789, 500, 711, 9724, 1027, 6555, 2338, 672, 2881, 563, 6749, 573, 1023, 16038, 2203, 15840, 236761, 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, 38783, 3393, 15633, 10428, 827, 623, 5275, 236779, 5640, 1083, 10955, 236770, 236819, 236771, 236832, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 623, 4764, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 3970, 236779, 15266, 1083, 1847, 236764, 623, 4874, 236779, 10082, 236779, 56653, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236828, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1458, 3831, 506, 31324, 3393, 691, 10428, 3265, 531, 5213, 236862, 236770, 236819, 236771, 236832, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 1018, 657, 5213, 236770, 236812, 236787, 236778, 236800, 59528, 84750, 3153, 236764, 506, 3393, 815, 711, 1010, 13450, 3819, 236761, 9533, 4889, 236787, 108, 236772, 5213, 8782, 4981, 66515, 8739, 815, 1010, 3265, 20442, 3970, 236779, 15266, 236787, 1847, 59395, 107, 236772, 5213, 9272, 52312, 6208, 66515, 5213, 236770, 236812, 236787, 236778, 236828, 59528, 1018, 568, 495, 236743, 236810, 4310, 768, 711, 4461, 769, 107, 236772, 5213, 4396, 3149, 66515, 236743, 107, 138, 236770, 236761, 7179, 506, 52785, 850, 573, 506, 3393, 568, 509, 1149, 6282, 236772, 6910, 769, 107, 138, 236778, 236761, 1637, 711, 4461, 684, 236743, 236770, 236812, 236787, 236778, 236828, 59528, 236764, 692, 740, 766, 643, 506, 3393, 236761, 107, 138, 236800, 236761, 1637, 611, 3016, 735, 506, 3393, 236764, 1161, 86072, 15037, 236779, 3970, 236929, 607, 506, 2165, 4764, 236779, 547, 236929, 532, 506, 3393, 531, 4133, 31324, 236761, 108, 38786, 611, 1133, 531, 7162, 607, 766, 2669, 506, 3393, 657, 236743, 236770, 236812, 236787, 236778, 236828, 59528, 236764, 653, 5686, 531, 13103, 496, 3393, 611, 236858, 560, 3016, 4461, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 72890, 496, 52785, 2881, 573, 1041, 4408, 236789, 236751, 2434, 26937, 6436, 236761, 564, 735, 506, 5154, 1548, 32156, 236770, 236819, 236771, 236832, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 236768, 532, 9299, 28150, 568, 3677, 236779, 547, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236764, 14017, 236779, 11240, 236787, 623, 108250, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 4248, 564, 3265, 496, 3393, 2864, 6517, 236764, 840, 506, 2434, 18116, 236789, 236745, 4461, 625, 3819, 236761, 28344, 611, 1601, 786, 2426, 506, 14209, 4981, 1651, 992, 81297, 496, 861, 886, 236772, 2289, 3393, 2864, 236881, 564, 1461, 531, 1386, 2889, 692, 236789, 500, 711, 9724, 1027, 6555, 2338, 672, 2881, 563, 6749, 573, 1023, 16038, 2203, 15840, 236761, 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, 38783, 3393, 15633, 10428, 827, 623, 5275, 236779, 5640, 1083, 10955, 236770, 236819, 236771, 236832, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 623, 4764, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 3970, 236779, 15266, 1083, 1847, 236764, 623, 4874, 236779, 10082, 236779, 56653, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236828, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1458, 3831, 506, 31324, 3393, 691, 10428, 3265, 531, 5213, 236862, 236770, 236819, 236771, 236832, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 1018, 657, 5213, 236770, 236812, 236787, 236778, 236800, 59528, 84750, 3153, 236764, 506, 3393, 815, 711, 1010, 13450, 3819, 236761, 9533, 4889, 236787, 108, 236772, 5213, 8782, 4981, 66515, 8739, 815, 1010, 3265, 20442, 3970, 236779, 15266, 236787, 1847, 59395, 107, 236772, 5213, 9272, 52312, 6208, 66515, 5213, 236770, 236812, 236787, 236778, 236828, 59528, 1018, 568, 495, 236743, 236810, 4310, 768, 711, 4461, 769, 107, 236772, 5213, 4396, 3149, 66515, 236743, 107, 138, 236770, 236761, 7179, 506, 52785, 850, 573, 506, 3393, 568, 509, 1149, 6282, 236772, 6910, 769, 107, 138, 236778, 236761, 1637, 711, 4461, 684, 236743, 236770, 236812, 236787, 236778, 236828, 59528, 236764, 692, 740, 766, 643, 506, 3393, 236761, 107, 138, 236800, 236761, 1637, 611, 3016, 735, 506, 3393, 236764, 1161, 86072, 15037, 236779, 3970, 236929, 607, 506, 2165, 4764, 236779, 547, 236929, 532, 506, 3393, 531, 4133, 31324, 236761, 108, 38786, 611, 1133, 531, 7162, 607, 766, 2669, 506, 3393, 657, 236743, 236770, 236812, 236787, 236778, 236828, 59528, 236764, 653, 5686, 531, 13103, 496, 3393, 611, 236858, 560, 3016, 4461, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 9279, 1217, 1623, 6554, 563, 3149, 573, 496, 2978, 600, 236789, 236751, 236743, 236770, 236778, 6172, 1440, 236764, 236743, 236770, 236810, 6172, 5777, 236764, 607, 236743, 236828, 236772, 7569, 59626, 236761, 2085, 236789, 236751, 496, 4771, 600, 236789, 236751, 236743, 236800, 236781, 236812, 6172, 532, 496, 5232, 600, 236789, 236751, 236743, 236800, 236781, 236832, 6172, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 33277, 236779, 15979, 236779, 60201, 1190, 1083, 236743, 236770, 236761, 236832, 236810, 236764, 623, 154521, 236779, 13308, 1083, 3714, 6725, 236779, 14193, 236779, 7376, 236779, 3476, 236779, 765, 1083, 236743, 236812, 236800, 236778, 236764, 623, 84675, 236779, 7376, 236779, 3476, 236779, 765, 1083, 236743, 236770, 236828, 236771, 236764, 623, 6725, 236779, 7376, 236779, 3476, 236779, 765, 1083, 236743, 236825, 236770, 236778, 236764, 623, 33277, 236779, 44384, 236779, 721, 236779, 134563, 236779, 3476, 236779, 765, 1083, 236743, 236800, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 818, 14988, 573, 822, 2978, 236789, 236751, 6554, 13469, 563, 618, 5238, 236787, 108, 1018, 22995, 86249, 568, 31048, 61324, 47229, 1473, 1018, 107, 236772, 12613, 2433, 568, 74768, 900, 21486, 1473, 236743, 236825, 236770, 236778, 18288, 12110, 107, 236772, 35713, 4354, 236787, 5213, 236770, 236761, 236832, 236810, 39813, 1018, 568, 5140, 580, 236743, 236800, 236810, 236771, 18288, 12110, 810, 51240, 12606, 236768, 108, 1018, 66649, 524, 86249, 568, 75862, 522, 4771, 532, 5232, 1473, 1018, 107, 236772, 28405, 568, 236800, 236781, 236812, 12110, 236768, 578, 236743, 236770, 236778, 18288, 12110, 107, 236772, 39581, 568, 236800, 236781, 236832, 12110, 236768, 578, 236743, 236778, 236770, 18288, 12110, 107, 236772, 188445, 2558, 2433, 236787, 236743, 236825, 236770, 236778, 753, 236743, 236800, 236800, 578, 5213, 236810, 236832, 236819, 18288, 12110, 1018, 107, 236772, 188445, 6554, 4354, 236787, 236743, 236810, 236832, 236819, 108140, 236743, 236800, 236810, 236771, 67081, 5213, 236770, 236761, 236825, 236810, 39813, 1018, 108, 3048, 1093, 1202, 8296, 5213, 236770, 236761, 236825, 236810, 39813, 1018, 529, 6554, 236764, 840, 625, 236789, 236751, 21608, 531, 4886, 872, 531, 236743, 236770, 236761, 236832, 236810, 39813, 531, 2881, 573, 1027, 8321, 653, 6374, 236772, 11303, 236761, 21284, 611, 1133, 1027, 65977, 1003, 672, 236881, 106, 107, 105, 2364, 107, 236777, 1164, 14995, 564, 2473, 1202, 531, 5510, 1156, 50328, 529, 6554, 573, 2480, 12606, 236761, 2088, 1093, 600, 4208, 506, 2558, 2886, 529, 6554, 4354, 573, 506, 3303, 2978, 14988, 236881, 3199, 611, 110270, 606, 607, 672, 528, 3666, 236881, 106, 107, 105, 4368, 107, 2542, 1156, 50328, 529, 6554, 1699, 506, 3303, 2978, 14988, 568, 31048, 61324, 47229, 1473, 108, 1018, 30498, 3161, 236772, 41525, 13469, 66515, 236743, 236770, 236761, 236832, 236810, 39813, 138, 107, 1018, 11634, 236772, 41525, 13469, 66515, 138, 107, 236770, 236761, 236832, 236810, 39813, 15666, 236743, 236778, 578, 5213, 236800, 236761, 236810, 39813, 1018, 108, 2859, 611, 3204, 506, 4771, 532, 5232, 30981, 568, 79442, 2433, 529, 236743, 236810, 236832, 236819, 18288, 12110, 1473, 138, 107, 236770, 236761, 236825, 236810, 39813, 15666, 236743, 236778, 578, 5213, 236800, 236761, 236800, 39813, 1018, 568, 41928, 2036, 5840, 84953, 872, 531, 236743, 236800, 236761, 236810, 39813, 573, 5646, 769, 108, 3771, 4767, 5904, 2246, 691, 4354, 2338, 506, 14988, 21777, 39877, 607, 506, 1548, 529, 50328, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 26804, 1217, 506, 1156, 50328, 4208, 506, 6554, 2886, 236761, 18186, 580, 506, 3303, 14988, 568, 236825, 236770, 236778, 18288, 12110, 2558, 779, 1217, 1551, 39813, 1093, 564, 1202, 768, 564, 3717, 149564, 5205, 529, 39813, 573, 919, 18997, 12606, 236881, 3792, 786, 1281, 506, 2558, 149564, 3149, 532, 1027, 10231, 9106, 573, 21186, 236761, 106, 107, 105, 4368, 107, 2542, 1156, 50328, 2721, 580, 506, 3303, 236743, 236825, 236770, 236778, 18288, 12110, 14988, 568, 236800, 236761, 236810, 39813, 2558, 1473, 108, 1018, 75675, 531, 149564, 66515, 138, 107, 236800, 236761, 236810, 39813, 15666, 236743, 236812, 149564, 236786, 134563, 578, 5213, 236770, 236812, 149564, 1018, 138, 108, 1018, 121435, 9106, 66515, 138, 107, 236770, 236761, 5213, 23077, 810, 4360, 66515, 2797, 14865, 659, 3187, 919, 11162, 810, 62963, 1082, 39813, 236761, 44906, 6527, 1271, 11691, 236743, 236800, 39813, 568, 236770, 236778, 149564, 236768, 900, 236743, 236778, 149564, 2473, 577, 24412, 1082, 236743, 236770, 236812, 3141, 149564, 236761, 138, 107, 236778, 236761, 5213, 9057, 1749, 6554, 66515, 236743, 236770, 236812, 149564, 5021, 611, 19142, 573, 6374, 236772, 11303, 3209, 236764, 840, 1149, 1354, 528, 919, 50781, 6554, 1082, 11691, 39813, 236761, 138, 107, 236800, 236761, 5213, 12424, 10034, 66515, 4943, 30686, 6739, 149564, 1186, 528, 8376, 607, 39813, 236761, 7179, 15830, 1171, 236761, 138, 108, 38786, 611, 1133, 1601, 22020, 3530, 4762, 21212, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 9279, 1217, 1623, 6554, 563, 3149, 573, 496, 2978, 600, 236789, 236751, 236743, 236770, 236778, 6172, 1440, 236764, 236743, 236770, 236810, 6172, 5777, 236764, 607, 236743, 236828, 236772, 7569, 59626, 236761, 2085, 236789, 236751, 496, 4771, 600, 236789, 236751, 236743, 236800, 236781, 236812, 6172, 532, 496, 5232, 600, 236789, 236751, 236743, 236800, 236781, 236832, 6172, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 33277, 236779, 15979, 236779, 60201, 1190, 1083, 236743, 236770, 236761, 236832, 236810, 236764, 623, 154521, 236779, 13308, 1083, 3714, 6725, 236779, 14193, 236779, 7376, 236779, 3476, 236779, 765, 1083, 236743, 236812, 236800, 236778, 236764, 623, 84675, 236779, 7376, 236779, 3476, 236779, 765, 1083, 236743, 236770, 236828, 236771, 236764, 623, 6725, 236779, 7376, 236779, 3476, 236779, 765, 1083, 236743, 236825, 236770, 236778, 236764, 623, 33277, 236779, 44384, 236779, 721, 236779, 134563, 236779, 3476, 236779, 765, 1083, 236743, 236800, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 818, 14988, 573, 822, 2978, 236789, 236751, 6554, 13469, 563, 618, 5238, 236787, 108, 1018, 22995, 86249, 568, 31048, 61324, 47229, 1473, 1018, 107, 236772, 12613, 2433, 568, 74768, 900, 21486, 1473, 236743, 236825, 236770, 236778, 18288, 12110, 107, 236772, 35713, 4354, 236787, 5213, 236770, 236761, 236832, 236810, 39813, 1018, 568, 5140, 580, 236743, 236800, 236810, 236771, 18288, 12110, 810, 51240, 12606, 236768, 108, 1018, 66649, 524, 86249, 568, 75862, 522, 4771, 532, 5232, 1473, 1018, 107, 236772, 28405, 568, 236800, 236781, 236812, 12110, 236768, 578, 236743, 236770, 236778, 18288, 12110, 107, 236772, 39581, 568, 236800, 236781, 236832, 12110, 236768, 578, 236743, 236778, 236770, 18288, 12110, 107, 236772, 188445, 2558, 2433, 236787, 236743, 236825, 236770, 236778, 753, 236743, 236800, 236800, 578, 5213, 236810, 236832, 236819, 18288, 12110, 1018, 107, 236772, 188445, 6554, 4354, 236787, 236743, 236810, 236832, 236819, 108140, 236743, 236800, 236810, 236771, 67081, 5213, 236770, 236761, 236825, 236810, 39813, 1018, 108, 3048, 1093, 1202, 8296, 5213, 236770, 236761, 236825, 236810, 39813, 1018, 529, 6554, 236764, 840, 625, 236789, 236751, 21608, 531, 4886, 872, 531, 236743, 236770, 236761, 236832, 236810, 39813, 531, 2881, 573, 1027, 8321, 653, 6374, 236772, 11303, 236761, 21284, 611, 1133, 1027, 65977, 1003, 672, 236881, 106, 107, 105, 2364, 107, 236777, 1164, 14995, 564, 2473, 1202, 531, 5510, 1156, 50328, 529, 6554, 573, 2480, 12606, 236761, 2088, 1093, 600, 4208, 506, 2558, 2886, 529, 6554, 4354, 573, 506, 3303, 2978, 14988, 236881, 3199, 611, 110270, 606, 607, 672, 528, 3666, 236881, 106, 107, 105, 4368, 107, 2542, 1156, 50328, 529, 6554, 1699, 506, 3303, 2978, 14988, 568, 31048, 61324, 47229, 1473, 108, 1018, 30498, 3161, 236772, 41525, 13469, 66515, 236743, 236770, 236761, 236832, 236810, 39813, 138, 107, 1018, 11634, 236772, 41525, 13469, 66515, 138, 107, 236770, 236761, 236832, 236810, 39813, 15666, 236743, 236778, 578, 5213, 236800, 236761, 236810, 39813, 1018, 108, 2859, 611, 3204, 506, 4771, 532, 5232, 30981, 568, 79442, 2433, 529, 236743, 236810, 236832, 236819, 18288, 12110, 1473, 138, 107, 236770, 236761, 236825, 236810, 39813, 15666, 236743, 236778, 578, 5213, 236800, 236761, 236800, 39813, 1018, 568, 41928, 2036, 5840, 84953, 872, 531, 236743, 236800, 236761, 236810, 39813, 573, 5646, 769, 108, 3771, 4767, 5904, 2246, 691, 4354, 2338, 506, 14988, 21777, 39877, 607, 506, 1548, 529, 50328, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 26804, 1217, 506, 1156, 50328, 4208, 506, 6554, 2886, 236761, 18186, 580, 506, 3303, 14988, 568, 236825, 236770, 236778, 18288, 12110, 2558, 779, 1217, 1551, 39813, 1093, 564, 1202, 768, 564, 3717, 149564, 5205, 529, 39813, 573, 919, 18997, 12606, 236881, 3792, 786, 1281, 506, 2558, 149564, 3149, 532, 1027, 10231, 9106, 573, 21186, 236761, 106, 107, 105, 4368, 107, 2542, 1156, 50328, 2721, 580, 506, 3303, 236743, 236825, 236770, 236778, 18288, 12110, 14988, 568, 236800, 236761, 236810, 39813, 2558, 1473, 108, 1018, 75675, 531, 149564, 66515, 138, 107, 236800, 236761, 236810, 39813, 15666, 236743, 236812, 149564, 236786, 134563, 578, 5213, 236770, 236812, 149564, 1018, 138, 108, 1018, 121435, 9106, 66515, 138, 107, 236770, 236761, 5213, 23077, 810, 4360, 66515, 2797, 14865, 659, 3187, 919, 11162, 810, 62963, 1082, 39813, 236761, 44906, 6527, 1271, 11691, 236743, 236800, 39813, 568, 236770, 236778, 149564, 236768, 900, 236743, 236778, 149564, 2473, 577, 24412, 1082, 236743, 236770, 236812, 3141, 149564, 236761, 138, 107, 236778, 236761, 5213, 9057, 1749, 6554, 66515, 236743, 236770, 236812, 149564, 5021, 611, 19142, 573, 6374, 236772, 11303, 3209, 236764, 840, 1149, 1354, 528, 919, 50781, 6554, 1082, 11691, 39813, 236761, 138, 107, 236800, 236761, 5213, 12424, 10034, 66515, 4943, 30686, 6739, 149564, 1186, 528, 8376, 607, 39813, 236761, 7179, 15830, 1171, 236761, 138, 108, 38786, 611, 1133, 1601, 22020, 3530, 4762, 21212, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 1076, 872, 1041, 154213, 36771, 657, 496, 2263, 10946, 5888, 672, 9735, 236761, 5315, 236764, 564, 1202, 531, 2426, 506, 1873, 7606, 528, 158369, 6914, 236764, 23639, 236761, 1637, 506, 4022, 993, 563, 2787, 236743, 236832, 236810, 237366, 236811, 236764, 564, 236789, 859, 1966, 6049, 506, 36771, 531, 26431, 236761, 3199, 611, 2426, 158369, 6914, 236789, 236751, 1873, 7606, 3439, 532, 1299, 236764, 768, 4127, 236764, 2426, 26431, 236789, 236751, 7606, 618, 1388, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 16098, 713, 6914, 236764, 23639, 827, 623, 27495, 1083, 236743, 236828, 236771, 236761, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236761, 236828, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 236779, 7777, 1083, 623, 22631, 7217, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 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, 13319, 1083, 623, 109180, 236764, 23639, 827, 623, 4002, 236779, 7617, 1083, 236743, 236828, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 70887, 623, 19216, 1083, 623, 118538, 25938, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 158369, 6914, 236764, 23639, 563, 5213, 236828, 236771, 236761, 236810, 237366, 236811, 1018, 607, 3582, 55748, 236764, 236743, 236825, 236778, 236908, 31992, 236764, 532, 236743, 236810, 236761, 236828, 44269, 6573, 4249, 236761, 5612, 672, 32839, 822, 236743, 236832, 236810, 237366, 236811, 14272, 236764, 564, 15593, 26431, 236764, 23639, 618, 1388, 236787, 138, 108, 109180, 5633, 7248, 5213, 236828, 236778, 237366, 236811, 125546, 17635, 55748, 236764, 236743, 236825, 236810, 236908, 31992, 236764, 532, 236743, 236828, 44269, 6573, 4249, 236761, 138, 108, 22186, 9979, 659, 2787, 236743, 236832, 236810, 237366, 236811, 236764, 607, 3361, 7606, 3439, 236761, 21284, 611, 1133, 4767, 4889, 653, 33772, 531, 96820, 822, 4893, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 1076, 872, 1041, 154213, 36771, 657, 496, 2263, 10946, 5888, 672, 9735, 236761, 5315, 236764, 564, 1202, 531, 2426, 506, 1873, 7606, 528, 158369, 6914, 236764, 23639, 236761, 1637, 506, 4022, 993, 563, 2787, 236743, 236832, 236810, 237366, 236811, 236764, 564, 236789, 859, 1966, 6049, 506, 36771, 531, 26431, 236761, 3199, 611, 2426, 158369, 6914, 236789, 236751, 1873, 7606, 3439, 532, 1299, 236764, 768, 4127, 236764, 2426, 26431, 236789, 236751, 7606, 618, 1388, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 16098, 713, 6914, 236764, 23639, 827, 623, 27495, 1083, 236743, 236828, 236771, 236761, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236761, 236828, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 236779, 7777, 1083, 623, 22631, 7217, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 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, 13319, 1083, 623, 109180, 236764, 23639, 827, 623, 4002, 236779, 7617, 1083, 236743, 236828, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 70887, 623, 19216, 1083, 623, 118538, 25938, 106, 107, 105, 4368, 107, 818, 1873, 7606, 528, 158369, 6914, 236764, 23639, 563, 5213, 236828, 236771, 236761, 236810, 237366, 236811, 1018, 607, 3582, 55748, 236764, 236743, 236825, 236778, 236908, 31992, 236764, 532, 236743, 236810, 236761, 236828, 44269, 6573, 4249, 236761, 5612, 672, 32839, 822, 236743, 236832, 236810, 237366, 236811, 14272, 236764, 564, 15593, 26431, 236764, 23639, 618, 1388, 236787, 138, 108, 109180, 5633, 7248, 5213, 236828, 236778, 237366, 236811, 125546, 17635, 55748, 236764, 236743, 236825, 236810, 236908, 31992, 236764, 532, 236743, 236828, 44269, 6573, 4249, 236761, 138, 108, 22186, 9979, 659, 2787, 236743, 236832, 236810, 237366, 236811, 236764, 607, 3361, 7606, 3439, 236761, 21284, 611, 1133, 4767, 4889, 653, 33772, 531, 96820, 822, 4893, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 14268, 55045, 573, 614, 2255, 1733, 1629, 81588, 236770, 236800, 11659, 4360, 236761, 669, 912, 1548, 563, 134322, 236812, 236828, 236855, 20134, 236799, 236770, 236761, 5315, 236764, 2426, 768, 625, 236789, 236751, 528, 822, 45808, 236761, 1637, 625, 236789, 236751, 711, 2487, 236764, 1385, 573, 18944, 4681, 699, 1032, 13965, 1133, 72747, 653, 56328, 236761, 9920, 611, 1586, 3835, 236764, 16807, 768, 1027, 82070, 528, 33240, 735, 2862, 236761, 1637, 7293, 659, 2487, 16445, 236764, 2426, 38477, 5022, 1133, 9539, 653, 33946, 236761, 39525, 21212, 532, 2862, 4535, 573, 1546, 5086, 236761, 1637, 506, 912, 5889, 236789, 236745, 1765, 657, 784, 236764, 3600, 9302, 110591, 600, 1451, 981, 607, 9875, 24382, 236761, 17608, 528, 3666, 506, 3303, 4360, 691, 24457, 528, 236743, 236778, 236771, 236771, 236832, 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, 19995, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 827, 623, 4368, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 827, 623, 1655, 236779, 5640, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 827, 623, 3278, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 236775, 19465, 106, 107, 105, 4368, 107, 818, 5904, 3847, 20442, 700, 236779, 66534, 14667, 18833, 1677, 711, 4242, 1027, 6137, 568, 236744, 236761, 236759, 1126, 5500, 236764, 2028, 236764, 912, 1548, 779, 3043, 625, 11449, 531, 3927, 573, 3530, 4688, 1133, 506, 5213, 2035, 1629, 81588, 236770, 236800, 55045, 568, 158689, 236812, 236828, 236855, 20134, 236799, 236770, 62902, 236761, 1174, 26919, 27364, 786, 699, 67896, 18241, 1262, 236764, 2862, 4535, 236764, 653, 18944, 24277, 5467, 236761, 236743, 108, 2021, 14245, 672, 236764, 611, 236858, 236753, 1202, 531, 236787, 107, 236770, 236761, 66636, 768, 506, 5904, 236858, 236751, 9831, 740, 577, 10448, 531, 4242, 912, 4945, 653, 18774, 236761, 107, 236778, 236761, 1637, 711, 236764, 24473, 2426, 506, 912, 528, 822, 18241, 1458, 653, 3662, 25684, 573, 15830, 528, 33240, 236764, 9539, 236764, 653, 33946, 236761, 107, 236800, 236761, 1701, 24277, 236764, 6618, 8330, 23003, 531, 8701, 110591, 607, 3361, 216669, 236786, 4606, 532, 32812, 29262, 568, 236744, 236761, 236759, 1126, 72747, 236786, 79122, 638, 4681, 607, 9363, 6541, 769, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 14984, 580, 9302, 912, 6799, 653, 27313, 43285, 236888, 106, 107, 105, 2364, 107, 236777, 3050, 506, 5904, 236789, 236751, 16305, 236761, 3792, 236789, 236751, 2056, 496, 1607, 4313, 236787, 1171, 236764, 33205, 506, 2587, 45808, 236761, 564, 236789, 859, 13952, 1343, 625, 24473, 573, 506, 1733, 1629, 912, 1548, 134322, 236812, 236828, 236855, 20134, 236799, 236770, 236761, 1637, 625, 236789, 236751, 711, 993, 236764, 1161, 506, 1638, 5904, 531, 974, 15852, 573, 72747, 532, 56328, 110591, 236761, 564, 236789, 859, 4071, 236772, 30449, 1724, 607, 506, 3303, 4360, 236789, 236751, 236743, 236778, 236771, 236771, 236832, 23003, 753, 236743, 236800, 236772, 1108, 6541, 236764, 630, 236772, 236778, 236778, 126142, 236764, 236743, 236770, 236812, 7952, 1089, 236761, 1637, 951, 12853, 659, 1765, 236764, 2426, 768, 1027, 82070, 528, 33240, 236764, 9539, 236764, 653, 33946, 735, 2862, 1343, 910, 1982, 19722, 236761, 1637, 784, 20269, 236764, 3600, 110591, 607, 3361, 32812, 13376, 532, 216669, 24074, 600, 1451, 981, 607, 9875, 1458, 30981, 236761, 3792, 236789, 236751, 1502, 607, 506, 2587, 45808, 51139, 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, 1655, 236779, 5640, 827, 623, 19995, 827, 623, 7125, 14255, 623, 29995, 1083, 3714, 13205, 236779, 19031, 1083, 623, 7741, 756, 700, 236779, 66534, 14667, 236789, 1677, 711, 1894, 3149, 6137, 573, 912, 1548, 38485, 236764, 5500, 35129, 236764, 653, 4563, 236772, 5140, 18241, 17507, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 7412, 506, 2165, 700, 236779, 66534, 14667, 236929, 5904, 563, 51935, 5809, 528, 1061, 1873, 8688, 236761, 18565, 1061, 6492, 22169, 625, 740, 33205, 18241, 1262, 236764, 625, 5213, 38917, 711, 1894, 1018, 1027, 529, 506, 3149, 6137, 573, 236787, 138, 107, 236772, 4040, 1548, 34369, 138, 107, 236772, 18354, 236786, 4368, 35129, 138, 107, 236772, 21617, 236772, 5140, 18241, 17507, 138, 108, 2094, 3590, 625, 157417, 573, 822, 3530, 2864, 236761, 138, 108, 10354, 12067, 50228, 568, 33142, 53578, 25373, 1473, 138, 107, 236770, 236761, 5213, 79050, 75848, 98916, 66515, 138, 107, 139, 11431, 66963, 528, 33240, 236764, 9539, 236764, 653, 33946, 5467, 531, 2426, 15830, 529, 236787, 138, 107, 139, 236772, 5213, 2035, 1629, 134322, 236812, 236828, 236855, 20134, 236799, 236770, 1018, 138, 107, 139, 236772, 98263, 72747, 236786, 79122, 638, 4681, 568, 236744, 236761, 236759, 1126, 72747, 236743, 236800, 236828, 20045, 236780, 236771, 236825, 236771, 653, 56328, 236743, 236810, 236819, 15191, 236825, 236771, 236825, 236771, 236764, 837, 4241, 236743, 236800, 236772, 1108, 236764, 630, 236772, 236778, 236778, 236764, 236743, 236770, 236812, 7952, 1089, 55455, 769, 138, 108, 236778, 236761, 5213, 93993, 160101, 913, 66515, 138, 107, 139, 24501, 4532, 78014, 1133, 236787, 138, 107, 139, 236772, 5213, 67654, 21829, 50087, 160101, 913, 1018, 568, 236744, 236761, 236759, 1126, 1491, 236791, 236825, 236770, 236855, 236825, 236788, 236812, 236771, 236771, 11925, 236764, 630, 236772, 236778, 236778, 18944, 236768, 138, 107, 139, 236772, 5213, 5493, 1319, 32319, 29287, 1018, 4681, 607, 3361, 216669, 24074, 532, 32812, 13376, 236761, 138, 108, 236800, 236761, 5213, 4521, 35593, 1230, 66515, 138, 107, 139, 2859, 4453, 12853, 659, 47713, 236764, 496, 56035, 1451, 102274, 496, 33530, 55045, 568, 236744, 236761, 236759, 1126, 630, 236772, 236812, 236770, 236771, 236776, 236772, 42452, 236768, 607, 1458, 24382, 236764, 3635, 672, 1149, 1660, 23612, 1032, 6237, 568, 236744, 236761, 236759, 1126, 46668, 236764, 10534, 32764, 769, 138, 108, 38786, 611, 1133, 1601, 66582, 45174, 573, 25684, 653, 21558, 102274, 236772, 42452, 110591, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 14268, 55045, 573, 614, 2255, 1733, 1629, 81588, 236770, 236800, 11659, 4360, 236761, 669, 912, 1548, 563, 134322, 236812, 236828, 236855, 20134, 236799, 236770, 236761, 5315, 236764, 2426, 768, 625, 236789, 236751, 528, 822, 45808, 236761, 1637, 625, 236789, 236751, 711, 2487, 236764, 1385, 573, 18944, 4681, 699, 1032, 13965, 1133, 72747, 653, 56328, 236761, 9920, 611, 1586, 3835, 236764, 16807, 768, 1027, 82070, 528, 33240, 735, 2862, 236761, 1637, 7293, 659, 2487, 16445, 236764, 2426, 38477, 5022, 1133, 9539, 653, 33946, 236761, 39525, 21212, 532, 2862, 4535, 573, 1546, 5086, 236761, 1637, 506, 912, 5889, 236789, 236745, 1765, 657, 784, 236764, 3600, 9302, 110591, 600, 1451, 981, 607, 9875, 24382, 236761, 17608, 528, 3666, 506, 3303, 4360, 691, 24457, 528, 236743, 236778, 236771, 236771, 236832, 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, 19995, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 827, 623, 4368, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 827, 623, 1655, 236779, 5640, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 827, 623, 3278, 1083, 623, 7741, 1677, 711, 4242, 6137, 236793, 20173, 2135, 236775, 19465, 106, 107, 105, 4368, 107, 818, 5904, 3847, 20442, 700, 236779, 66534, 14667, 18833, 1677, 711, 4242, 1027, 6137, 568, 236744, 236761, 236759, 1126, 5500, 236764, 2028, 236764, 912, 1548, 779, 3043, 625, 11449, 531, 3927, 573, 3530, 4688, 1133, 506, 5213, 2035, 1629, 81588, 236770, 236800, 55045, 568, 158689, 236812, 236828, 236855, 20134, 236799, 236770, 62902, 236761, 1174, 26919, 27364, 786, 699, 67896, 18241, 1262, 236764, 2862, 4535, 236764, 653, 18944, 24277, 5467, 236761, 236743, 108, 2021, 14245, 672, 236764, 611, 236858, 236753, 1202, 531, 236787, 107, 236770, 236761, 66636, 768, 506, 5904, 236858, 236751, 9831, 740, 577, 10448, 531, 4242, 912, 4945, 653, 18774, 236761, 107, 236778, 236761, 1637, 711, 236764, 24473, 2426, 506, 912, 528, 822, 18241, 1458, 653, 3662, 25684, 573, 15830, 528, 33240, 236764, 9539, 236764, 653, 33946, 236761, 107, 236800, 236761, 1701, 24277, 236764, 6618, 8330, 23003, 531, 8701, 110591, 607, 3361, 216669, 236786, 4606, 532, 32812, 29262, 568, 236744, 236761, 236759, 1126, 72747, 236786, 79122, 638, 4681, 607, 9363, 6541, 769, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 14984, 580, 9302, 912, 6799, 653, 27313, 43285, 236888, 106, 107, 105, 2364, 107, 236777, 3050, 506, 5904, 236789, 236751, 16305, 236761, 3792, 236789, 236751, 2056, 496, 1607, 4313, 236787, 1171, 236764, 33205, 506, 2587, 45808, 236761, 564, 236789, 859, 13952, 1343, 625, 24473, 573, 506, 1733, 1629, 912, 1548, 134322, 236812, 236828, 236855, 20134, 236799, 236770, 236761, 1637, 625, 236789, 236751, 711, 993, 236764, 1161, 506, 1638, 5904, 531, 974, 15852, 573, 72747, 532, 56328, 110591, 236761, 564, 236789, 859, 4071, 236772, 30449, 1724, 607, 506, 3303, 4360, 236789, 236751, 236743, 236778, 236771, 236771, 236832, 23003, 753, 236743, 236800, 236772, 1108, 6541, 236764, 630, 236772, 236778, 236778, 126142, 236764, 236743, 236770, 236812, 7952, 1089, 236761, 1637, 951, 12853, 659, 1765, 236764, 2426, 768, 1027, 82070, 528, 33240, 236764, 9539, 236764, 653, 33946, 735, 2862, 1343, 910, 1982, 19722, 236761, 1637, 784, 20269, 236764, 3600, 110591, 607, 3361, 32812, 13376, 532, 216669, 24074, 600, 1451, 981, 607, 9875, 1458, 30981, 236761, 3792, 236789, 236751, 1502, 607, 506, 2587, 45808, 51139, 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, 1655, 236779, 5640, 827, 623, 19995, 827, 623, 7125, 14255, 623, 29995, 1083, 3714, 13205, 236779, 19031, 1083, 623, 7741, 756, 700, 236779, 66534, 14667, 236789, 1677, 711, 1894, 3149, 6137, 573, 912, 1548, 38485, 236764, 5500, 35129, 236764, 653, 4563, 236772, 5140, 18241, 17507, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 7412, 506, 2165, 700, 236779, 66534, 14667, 236929, 5904, 563, 51935, 5809, 528, 1061, 1873, 8688, 236761, 18565, 1061, 6492, 22169, 625, 740, 33205, 18241, 1262, 236764, 625, 5213, 38917, 711, 1894, 1018, 1027, 529, 506, 3149, 6137, 573, 236787, 138, 107, 236772, 4040, 1548, 34369, 138, 107, 236772, 18354, 236786, 4368, 35129, 138, 107, 236772, 21617, 236772, 5140, 18241, 17507, 138, 108, 2094, 3590, 625, 157417, 573, 822, 3530, 2864, 236761, 138, 108, 10354, 12067, 50228, 568, 33142, 53578, 25373, 1473, 138, 107, 236770, 236761, 5213, 79050, 75848, 98916, 66515, 138, 107, 139, 11431, 66963, 528, 33240, 236764, 9539, 236764, 653, 33946, 5467, 531, 2426, 15830, 529, 236787, 138, 107, 139, 236772, 5213, 2035, 1629, 134322, 236812, 236828, 236855, 20134, 236799, 236770, 1018, 138, 107, 139, 236772, 98263, 72747, 236786, 79122, 638, 4681, 568, 236744, 236761, 236759, 1126, 72747, 236743, 236800, 236828, 20045, 236780, 236771, 236825, 236771, 653, 56328, 236743, 236810, 236819, 15191, 236825, 236771, 236825, 236771, 236764, 837, 4241, 236743, 236800, 236772, 1108, 236764, 630, 236772, 236778, 236778, 236764, 236743, 236770, 236812, 7952, 1089, 55455, 769, 138, 108, 236778, 236761, 5213, 93993, 160101, 913, 66515, 138, 107, 139, 24501, 4532, 78014, 1133, 236787, 138, 107, 139, 236772, 5213, 67654, 21829, 50087, 160101, 913, 1018, 568, 236744, 236761, 236759, 1126, 1491, 236791, 236825, 236770, 236855, 236825, 236788, 236812, 236771, 236771, 11925, 236764, 630, 236772, 236778, 236778, 18944, 236768, 138, 107, 139, 236772, 5213, 5493, 1319, 32319, 29287, 1018, 4681, 607, 3361, 216669, 24074, 532, 32812, 13376, 236761, 138, 108, 236800, 236761, 5213, 4521, 35593, 1230, 66515, 138, 107, 139, 2859, 4453, 12853, 659, 47713, 236764, 496, 56035, 1451, 102274, 496, 33530, 55045, 568, 236744, 236761, 236759, 1126, 630, 236772, 236812, 236770, 236771, 236776, 236772, 42452, 236768, 607, 1458, 24382, 236764, 3635, 672, 1149, 1660, 23612, 1032, 6237, 568, 236744, 236761, 236759, 1126, 46668, 236764, 10534, 32764, 769, 138, 108, 38786, 611, 1133, 1601, 66582, 45174, 573, 25684, 653, 21558, 102274, 236772, 42452, 110591, 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, 3435, 5103, 573, 1041, 44979, 7694, 236761, 564, 1461, 531, 3328, 1944, 8634, 528, 120791, 600, 2473, 577, 7467, 528, 9722, 44979, 17205, 618, 614, 9470, 43009, 236761, 5315, 236764, 740, 611, 1161, 600, 1594, 3677, 236779, 838, 5904, 531, 1586, 784, 8634, 528, 120791, 607, 236743, 236810, 236772, 236778, 236771, 6951, 236881, 36702, 1091, 684, 3956, 36787, 753, 7463, 10946, 11936, 236764, 9130, 17320, 236764, 653, 9578, 45299, 1093, 577, 1346, 7467, 236761, 9920, 692, 735, 600, 1694, 236764, 5957, 625, 3342, 531, 1186, 3204, 8634, 607, 496, 623, 24137, 236775, 653, 623, 49809, 236775, 4867, 4981, 3894, 531, 506, 1262, 236761, 4298, 236764, 564, 1461, 531, 1460, 506, 1903, 236743, 236770, 236771, 2536, 124406, 684, 33417, 531, 1041, 7805, 236789, 236751, 3421, 657, 236743, 236770, 236778, 236800, 6400, 6718, 236761, 1174, 236789, 859, 1601, 786, 3213, 1041, 7009, 7880, 580, 506, 1346, 23284, 28541, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 23019, 236779, 1201, 1083, 623, 27320, 1108, 36903, 79535, 827, 623, 78024, 1083, 623, 62300, 13516, 827, 623, 80040, 1083, 236743, 236770, 236778, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236832, 236761, 236819, 236810, 236832, 236832, 236764, 623, 68520, 1083, 753, 236770, 236778, 236770, 236761, 236800, 236770, 236832, 236828, 112679, 3714, 23019, 236779, 1201, 1083, 623, 4722, 43873, 20016, 827, 623, 78024, 1083, 623, 90237, 18591, 827, 623, 80040, 1083, 236743, 236828, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236832, 236828, 236819, 7940, 842, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236832, 236761, 236819, 236810, 236778, 236770, 236764, 623, 68520, 1083, 753, 236770, 236778, 236770, 236761, 236800, 236778, 236810, 236825, 112679, 3714, 23019, 236779, 1201, 1083, 623, 75455, 166070, 18605, 827, 623, 78024, 1083, 623, 75455, 18605, 827, 623, 80040, 1083, 236743, 236770, 236810, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236770, 236771, 236770, 33518, 16351, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236832, 236761, 236819, 236825, 236812, 236800, 236764, 623, 68520, 1083, 753, 236770, 236778, 236770, 236761, 236800, 236771, 236828, 236819, 19465, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236832, 236764, 623, 4000, 236779, 3906, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41384, 1083, 78493, 23019, 236779, 1201, 1083, 623, 168555, 522, 23566, 120791, 827, 623, 7720, 1083, 623, 236770, 236810, 236771, 6400, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236828, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 62300, 833, 43873, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 75455, 166070, 18605, 827, 623, 7720, 1083, 623, 236778, 236770, 236771, 20690, 18977, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236778, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 75455, 8381, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236778, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 27320, 1108, 43873, 79535, 827, 623, 7720, 1083, 623, 236800, 236771, 236810, 33518, 16351, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236810, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 90237, 43499, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236812, 236771, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 66057, 144047, 39405, 827, 623, 7720, 1083, 623, 236812, 236770, 236778, 57743, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236832, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 62300, 9426, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236810, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 30134, 519, 833, 36903, 2372, 10498, 623, 7720, 1083, 623, 236810, 236800, 236771, 74560, 3587, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236828, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 62300, 77245, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236832, 236771, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 170425, 172176, 19839, 827, 623, 7720, 1083, 623, 236825, 236770, 236810, 12726, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236771, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 136983, 13510, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236828, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 27320, 1108, 193030, 49652, 827, 623, 7720, 1083, 623, 236832, 236778, 236771, 7940, 16351, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236812, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 75455, 11493, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236819, 236828, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 818, 172176, 105473, 827, 623, 7720, 1083, 623, 236828, 236771, 236810, 10892, 3991, 3587, 236764, 120791, 827, 623, 80040, 1083, 236743, 236825, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 62300, 18605, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236770, 236771, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 90237, 833, 60951, 39405, 827, 623, 7720, 1083, 623, 236819, 236770, 236771, 11849, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236832, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 2067, 755, 14822, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236778, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 75455, 136937, 6046, 120791, 827, 623, 7720, 1083, 623, 236770, 236771, 236778, 236771, 4556, 18977, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236819, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 50384, 18605, 13510, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236812, 236771, 236771, 104960, 623, 53298, 1083, 3714, 4874, 236779, 4000, 236779, 1114, 1083, 623, 1072, 212582, 115575, 15967, 236777, 94743, 32588, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 33093, 1694, 529, 1903, 236743, 236770, 236771, 3435, 5103, 573, 822, 44979, 7694, 236764, 24271, 684, 4867, 11646, 532, 19372, 684, 33417, 531, 822, 7805, 236787, 108, 236770, 236761, 5213, 168555, 522, 23566, 120791, 1018, 568, 236770, 236778, 236771, 236757, 236768, 138, 107, 139, 236772, 36903, 833, 43873, 4762, 1109, 236743, 236828, 6951, 1109, 84989, 108, 236778, 236761, 5213, 75455, 166070, 18605, 1018, 568, 236778, 236810, 236771, 236757, 236768, 138, 107, 139, 236772, 23727, 8381, 1109, 236743, 236770, 236778, 6951, 1109, 58078, 108, 236800, 236761, 5213, 27320, 1108, 43873, 79535, 1018, 568, 236812, 236771, 236771, 236757, 236768, 138, 107, 139, 236772, 43873, 43499, 1109, 236743, 236770, 236810, 6951, 1109, 84989, 108, 236812, 236761, 5213, 66057, 144047, 39405, 1018, 568, 236810, 236810, 236771, 236757, 236768, 138, 107, 139, 236772, 36903, 9426, 1109, 236743, 236832, 6951, 1109, 58078, 108, 236810, 236761, 5213, 30134, 519, 833, 36903, 2372, 99382, 568, 236832, 236771, 236771, 236757, 236768, 138, 107, 139, 236772, 36903, 77245, 1109, 236743, 236770, 236828, 6951, 1109, 84989, 108, 236825, 236761, 5213, 170425, 172176, 19839, 1018, 568, 236828, 236810, 236771, 236757, 236768, 138, 107, 139, 236772, 39405, 13510, 1109, 236743, 236770, 236771, 6951, 1109, 58078, 108, 236832, 236761, 5213, 27320, 1108, 193030, 49652, 1018, 568, 236819, 236828, 236771, 236757, 236768, 138, 107, 139, 236772, 23727, 11493, 1109, 236743, 236770, 236812, 6951, 1109, 84989, 108, 236828, 236761, 5213, 818, 172176, 105473, 1018, 568, 236770, 236761, 236770, 11375, 236768, 138, 107, 139, 236772, 36903, 18605, 1109, 236743, 236825, 6951, 1109, 58078, 108, 236819, 236761, 5213, 90237, 833, 60951, 39405, 1018, 568, 236770, 236761, 236778, 236810, 11375, 236768, 138, 107, 139, 236772, 87842, 14822, 1109, 236743, 236770, 236832, 6951, 1109, 84989, 108, 236770, 236771, 236761, 5213, 75455, 136937, 6046, 120791, 1018, 568, 236770, 236761, 236812, 11375, 236768, 138, 107, 140, 236772, 74967, 18605, 13510, 1109, 236743, 236770, 236819, 6951, 1109, 58078, 108, 1018, 3503, 76374, 53121, 138, 107, 236772, 236743, 236825, 236771, 236908, 529, 1239, 8634, 735, 623, 49809, 236775, 4867, 4981, 138, 107, 236772, 2343, 659, 2351, 236743, 236770, 236761, 236810, 11375, 529, 822, 7805, 138, 107, 236772, 29327, 8913, 607, 9578, 236786, 12033, 18597, 4547, 531, 1550, 44979, 7694, 138, 107, 236772, 28419, 18558, 4241, 822, 3328, 2644, 568, 236810, 236772, 236778, 236771, 236768, 138, 108, 38786, 611, 1133, 531, 11327, 4767, 7704, 529, 2536, 568, 118389, 1239, 1903, 236743, 236770, 236771, 236768, 653, 59638, 506, 18774, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 3435, 5103, 573, 1041, 44979, 7694, 236761, 564, 1461, 531, 3328, 1944, 8634, 528, 120791, 600, 2473, 577, 7467, 528, 9722, 44979, 17205, 618, 614, 9470, 43009, 236761, 5315, 236764, 740, 611, 1161, 600, 1594, 3677, 236779, 838, 5904, 531, 1586, 784, 8634, 528, 120791, 607, 236743, 236810, 236772, 236778, 236771, 6951, 236881, 36702, 1091, 684, 3956, 36787, 753, 7463, 10946, 11936, 236764, 9130, 17320, 236764, 653, 9578, 45299, 1093, 577, 1346, 7467, 236761, 9920, 692, 735, 600, 1694, 236764, 5957, 625, 3342, 531, 1186, 3204, 8634, 607, 496, 623, 24137, 236775, 653, 623, 49809, 236775, 4867, 4981, 3894, 531, 506, 1262, 236761, 4298, 236764, 564, 1461, 531, 1460, 506, 1903, 236743, 236770, 236771, 2536, 124406, 684, 33417, 531, 1041, 7805, 236789, 236751, 3421, 657, 236743, 236770, 236778, 236800, 6400, 6718, 236761, 1174, 236789, 859, 1601, 786, 3213, 1041, 7009, 7880, 580, 506, 1346, 23284, 28541, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 23019, 236779, 1201, 1083, 623, 27320, 1108, 36903, 79535, 827, 623, 78024, 1083, 623, 62300, 13516, 827, 623, 80040, 1083, 236743, 236770, 236778, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236832, 236761, 236819, 236810, 236832, 236832, 236764, 623, 68520, 1083, 753, 236770, 236778, 236770, 236761, 236800, 236770, 236832, 236828, 112679, 3714, 23019, 236779, 1201, 1083, 623, 4722, 43873, 20016, 827, 623, 78024, 1083, 623, 90237, 18591, 827, 623, 80040, 1083, 236743, 236828, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236832, 236828, 236819, 7940, 842, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236832, 236761, 236819, 236810, 236778, 236770, 236764, 623, 68520, 1083, 753, 236770, 236778, 236770, 236761, 236800, 236778, 236810, 236825, 112679, 3714, 23019, 236779, 1201, 1083, 623, 75455, 166070, 18605, 827, 623, 78024, 1083, 623, 75455, 18605, 827, 623, 80040, 1083, 236743, 236770, 236810, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236770, 236771, 236770, 33518, 16351, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236832, 236761, 236819, 236825, 236812, 236800, 236764, 623, 68520, 1083, 753, 236770, 236778, 236770, 236761, 236800, 236771, 236828, 236819, 19465, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236832, 236764, 623, 4000, 236779, 3906, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41384, 1083, 78493, 23019, 236779, 1201, 1083, 623, 168555, 522, 23566, 120791, 827, 623, 7720, 1083, 623, 236770, 236810, 236771, 6400, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236828, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 62300, 833, 43873, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 75455, 166070, 18605, 827, 623, 7720, 1083, 623, 236778, 236770, 236771, 20690, 18977, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236778, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 75455, 8381, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236778, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 27320, 1108, 43873, 79535, 827, 623, 7720, 1083, 623, 236800, 236771, 236810, 33518, 16351, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236810, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 90237, 43499, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236812, 236771, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 66057, 144047, 39405, 827, 623, 7720, 1083, 623, 236812, 236770, 236778, 57743, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236832, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 62300, 9426, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236810, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 30134, 519, 833, 36903, 2372, 10498, 623, 7720, 1083, 623, 236810, 236800, 236771, 74560, 3587, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236828, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 62300, 77245, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236832, 236771, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 170425, 172176, 19839, 827, 623, 7720, 1083, 623, 236825, 236770, 236810, 12726, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236771, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 136983, 13510, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236828, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 27320, 1108, 193030, 49652, 827, 623, 7720, 1083, 623, 236832, 236778, 236771, 7940, 16351, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236812, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 75455, 11493, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236819, 236828, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 818, 172176, 105473, 827, 623, 7720, 1083, 623, 236828, 236771, 236810, 10892, 3991, 3587, 236764, 120791, 827, 623, 80040, 1083, 236743, 236825, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 62300, 18605, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236770, 236771, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 90237, 833, 60951, 39405, 827, 623, 7720, 1083, 623, 236819, 236770, 236771, 11849, 842, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236832, 236764, 623, 61054, 236779, 4818, 1083, 623, 24137, 827, 623, 78024, 1083, 623, 2067, 755, 14822, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236778, 236810, 236771, 1263, 3714, 23019, 236779, 1201, 1083, 623, 75455, 136937, 6046, 120791, 827, 623, 7720, 1083, 623, 236770, 236771, 236778, 236771, 4556, 18977, 236764, 120791, 827, 623, 80040, 1083, 236743, 236770, 236819, 236764, 623, 61054, 236779, 4818, 1083, 623, 49809, 827, 623, 78024, 1083, 623, 50384, 18605, 13510, 827, 623, 236071, 236779, 1071, 236779, 236770, 236778, 236800, 236779, 7765, 236779, 40703, 236779, 89803, 1083, 236743, 236770, 236812, 236771, 236771, 104960, 623, 53298, 1083, 3714, 4874, 236779, 4000, 236779, 1114, 1083, 623, 1072, 212582, 115575, 15967, 236777, 94743, 32588, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 33093, 1694, 529, 1903, 236743, 236770, 236771, 3435, 5103, 573, 822, 44979, 7694, 236764, 24271, 684, 4867, 11646, 532, 19372, 684, 33417, 531, 822, 7805, 236787, 108, 236770, 236761, 5213, 168555, 522, 23566, 120791, 1018, 568, 236770, 236778, 236771, 236757, 236768, 138, 107, 139, 236772, 36903, 833, 43873, 4762, 1109, 236743, 236828, 6951, 1109, 84989, 108, 236778, 236761, 5213, 75455, 166070, 18605, 1018, 568, 236778, 236810, 236771, 236757, 236768, 138, 107, 139, 236772, 23727, 8381, 1109, 236743, 236770, 236778, 6951, 1109, 58078, 108, 236800, 236761, 5213, 27320, 1108, 43873, 79535, 1018, 568, 236812, 236771, 236771, 236757, 236768, 138, 107, 139, 236772, 43873, 43499, 1109, 236743, 236770, 236810, 6951, 1109, 84989, 108, 236812, 236761, 5213, 66057, 144047, 39405, 1018, 568, 236810, 236810, 236771, 236757, 236768, 138, 107, 139, 236772, 36903, 9426, 1109, 236743, 236832, 6951, 1109, 58078, 108, 236810, 236761, 5213, 30134, 519, 833, 36903, 2372, 99382, 568, 236832, 236771, 236771, 236757, 236768, 138, 107, 139, 236772, 36903, 77245, 1109, 236743, 236770, 236828, 6951, 1109, 84989, 108, 236825, 236761, 5213, 170425, 172176, 19839, 1018, 568, 236828, 236810, 236771, 236757, 236768, 138, 107, 139, 236772, 39405, 13510, 1109, 236743, 236770, 236771, 6951, 1109, 58078, 108, 236832, 236761, 5213, 27320, 1108, 193030, 49652, 1018, 568, 236819, 236828, 236771, 236757, 236768, 138, 107, 139, 236772, 23727, 11493, 1109, 236743, 236770, 236812, 6951, 1109, 84989, 108, 236828, 236761, 5213, 818, 172176, 105473, 1018, 568, 236770, 236761, 236770, 11375, 236768, 138, 107, 139, 236772, 36903, 18605, 1109, 236743, 236825, 6951, 1109, 58078, 108, 236819, 236761, 5213, 90237, 833, 60951, 39405, 1018, 568, 236770, 236761, 236778, 236810, 11375, 236768, 138, 107, 139, 236772, 87842, 14822, 1109, 236743, 236770, 236832, 6951, 1109, 84989, 108, 236770, 236771, 236761, 5213, 75455, 136937, 6046, 120791, 1018, 568, 236770, 236761, 236812, 11375, 236768, 138, 107, 140, 236772, 74967, 18605, 13510, 1109, 236743, 236770, 236819, 6951, 1109, 58078, 108, 1018, 3503, 76374, 53121, 138, 107, 236772, 236743, 236825, 236771, 236908, 529, 1239, 8634, 735, 623, 49809, 236775, 4867, 4981, 138, 107, 236772, 2343, 659, 2351, 236743, 236770, 236761, 236810, 11375, 529, 822, 7805, 138, 107, 236772, 29327, 8913, 607, 9578, 236786, 12033, 18597, 4547, 531, 1550, 44979, 7694, 138, 107, 236772, 28419, 18558, 4241, 822, 3328, 2644, 568, 236810, 236772, 236778, 236771, 236768, 138, 108, 38786, 611, 1133, 531, 11327, 4767, 7704, 529, 2536, 568, 118389, 1239, 1903, 236743, 236770, 236771, 236768, 653, 59638, 506, 18774, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 3530, 4071, 236772, 216935, 5689, 13696, 684, 26135, 26497, 1610, 753, 506, 2712, 607, 28239, 18193, 9935, 532, 6672, 59491, 236761, 5315, 236764, 1451, 611, 1586, 786, 506, 1903, 236772, 7577, 5086, 580, 9593, 607, 657, 3198, 236743, 236812, 236761, 236810, 8197, 236881, 9920, 611, 29888, 600, 236764, 564, 236789, 236753, 1133, 531, 1460, 784, 2487, 5469, 573, 506, 1638, 1698, 531, 10769, 6527, 236761, 3792, 786, 1281, 1056, 611, 236789, 560, 1765, 506, 1903, 236772, 7577, 1698, 834, 692, 740, 7162, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 5467, 3927, 9593, 236789, 236751, 23191, 573, 4071, 236772, 216935, 34332, 653, 5957, 684, 14470, 236786, 10618, 618, 672, 7087, 496, 1698, 5853, 568, 2371, 1204, 236786, 52151, 236768, 573, 506, 2165, 828, 236779, 30053, 236779, 5930, 236779, 13308, 236929, 5904, 236761, 28344, 611, 2847, 506, 1698, 5853, 653, 10739, 529, 506, 3530, 4071, 236772, 216935, 5689, 611, 236789, 500, 7467, 528, 236881, 9920, 611, 4024, 672, 236764, 564, 740, 33205, 1061, 4889, 532, 2426, 784, 2487, 5469, 573, 611, 236761, 106, 107, 105, 2364, 107, 236777, 3050, 611, 1202, 496, 3530, 1698, 5853, 236761, 3792, 786, 1751, 1390, 564, 16355, 9333, 496, 4913, 5689, 2760, 623, 84585, 528, 160724, 236775, 684, 213554, 236789, 236751, 66026, 4585, 2372, 236761, 600, 4065, 52996, 18193, 9935, 236761, 28344, 611, 2426, 768, 672, 1698, 7519, 580, 9593, 684, 19460, 573, 1061, 9447, 1204, 236881, 564, 4646, 625, 236789, 236751, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 236764, 3635, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2953, 236761, 1637, 600, 236789, 236751, 21648, 236764, 1451, 611, 3600, 1217, 531, 16807, 672, 653, 1586, 496, 3361, 1903, 236772, 7577, 26135, 26497, 1610, 4071, 236772, 216935, 5689, 1699, 2487, 6436, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 63190, 26135, 66026, 4585, 12713, 236772, 894, 2694, 15806, 753, 167132, 71387, 7803, 827, 623, 9707, 1083, 3714, 4002, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 17368, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 1263, 623, 7777, 1083, 623, 25146, 4071, 236772, 216935, 5689, 18482, 52996, 26135, 26497, 1610, 9935, 607, 28239, 7983, 236764, 6672, 16271, 236764, 532, 37017, 7913, 236761, 49308, 877, 236772, 45223, 9130, 236764, 191290, 25843, 236764, 30659, 236764, 532, 11808, 573, 50415, 10498, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236819, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236828, 236778, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236810, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236778, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 5237, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 14973, 236779, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 62856, 1083, 623, 39460, 236761, 854, 23179, 623, 112485, 1083, 3714, 2497, 236779, 37337, 1083, 1847, 236764, 623, 67671, 236779, 18700, 1083, 1847, 236764, 623, 28121, 236779, 112485, 1083, 78493, 1201, 1083, 623, 27015, 236743, 236778, 34332, 236764, 974, 236743, 236770, 236810, 236908, 1135, 827, 623, 70343, 1083, 236743, 236770, 236810, 236764, 623, 4730, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236800, 236771, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 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, 56905, 1083, 623, 902, 13827, 23179, 3714, 9707, 1083, 236743, 236778, 236832, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 62300, 3321, 1294, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 23179, 3714, 9707, 1083, 236743, 236800, 236778, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 236811, 36683, 9175, 10339, 8135, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 56905, 1083, 623, 902, 13827, 25938, 1604, 623, 6725, 236779, 112485, 1083, 236743, 236800, 236764, 623, 19859, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 573, 506, 5213, 236775, 63190, 26135, 66026, 4585, 12713, 236772, 894, 2694, 15806, 753, 167132, 71387, 7803, 236775, 1018, 568, 2371, 1204, 236787, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 1473, 108, 10354, 236743, 242507, 8231, 236772, 21998, 7303, 20303, 236787, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236770, 236764, 236778, 236828, 236819, 10595, 236768, 107, 236772, 5213, 11280, 66515, 609, 236778, 236812, 236761, 236819, 236819, 568, 14000, 609, 236810, 236761, 236771, 236771, 699, 3303, 609, 236778, 236819, 236761, 236819, 236819, 236768, 107, 236772, 5213, 27144, 66515, 49308, 877, 236772, 45223, 9130, 236764, 191290, 25843, 236764, 30659, 236764, 532, 52766, 236772, 18865, 11808, 236761, 107, 236772, 5213, 51164, 66515, 799, 2862, 568, 236770, 236810, 236771, 6630, 779, 13946, 236772, 90190, 4323, 9593, 236761, 108, 7243, 108, 10354, 236743, 247002, 2343, 18326, 80007, 236787, 107, 236909, 59562, 150, 236909, 14584, 139, 236909, 13946, 161465, 236881, 1109, 75669, 143, 236909, 107, 236909, 2819, 30104, 236909, 40686, 236909, 2819, 119434, 2819, 1040, 236909, 107, 236909, 5213, 39460, 1018, 146, 236909, 609, 236778, 236819, 236761, 236819, 236819, 138, 236909, 8438, 149, 236909, 799, 13827, 147, 236909, 107, 236909, 5213, 62300, 3321, 1294, 1018, 142, 236909, 609, 236778, 236832, 236761, 236810, 236771, 138, 236909, 2301, 150, 236909, 10522, 236743, 236800, 2378, 144, 236909, 107, 236909, 5213, 236811, 36683, 9175, 10339, 8135, 1018, 1109, 609, 236800, 236778, 236761, 236771, 236771, 138, 236909, 8438, 149, 236909, 799, 13827, 147, 236909, 108, 7243, 108, 10354, 236743, 244549, 9533, 24118, 236787, 107, 236770, 236761, 5213, 17043, 37936, 66515, 669, 5213, 236795, 236778, 236812, 236761, 236819, 236819, 13946, 236772, 90190, 2729, 1018, 580, 9593, 5132, 496, 5213, 236770, 236810, 236908, 20456, 12223, 1018, 568, 20786, 236743, 236778, 34332, 236768, 532, 496, 5213, 67671, 1018, 568, 2217, 18367, 528, 506, 5469, 1694, 840, 3505, 528, 1698, 4889, 769, 107, 236778, 236761, 5213, 11280, 37510, 66515, 669, 14723, 61861, 3385, 563, 5213, 236795, 236778, 236832, 236761, 236810, 236771, 1018, 568, 62300, 3321, 1294, 779, 840, 625, 236858, 236751, 711, 13946, 236772, 90190, 236761, 107, 236800, 236761, 5213, 211199, 66515, 1637, 611, 56856, 13946, 6417, 568, 8970, 12631, 236764, 7623, 779, 817, 607, 9593, 236858, 236751, 609, 236778, 236819, 236761, 236819, 236819, 2729, 236761, 1637, 611, 5278, 506, 14723, 3385, 532, 1537, 236858, 236745, 3666, 31878, 12631, 236764, 5347, 36903, 3321, 1294, 236761, 108, 38786, 611, 1133, 1601, 21186, 672, 4188, 653, 3342, 65977, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 3530, 4071, 236772, 216935, 5689, 13696, 684, 26135, 26497, 1610, 753, 506, 2712, 607, 28239, 18193, 9935, 532, 6672, 59491, 236761, 5315, 236764, 1451, 611, 1586, 786, 506, 1903, 236772, 7577, 5086, 580, 9593, 607, 657, 3198, 236743, 236812, 236761, 236810, 8197, 236881, 9920, 611, 29888, 600, 236764, 564, 236789, 236753, 1133, 531, 1460, 784, 2487, 5469, 573, 506, 1638, 1698, 531, 10769, 6527, 236761, 3792, 786, 1281, 1056, 611, 236789, 560, 1765, 506, 1903, 236772, 7577, 1698, 834, 692, 740, 7162, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 5467, 3927, 9593, 236789, 236751, 23191, 573, 4071, 236772, 216935, 34332, 653, 5957, 684, 14470, 236786, 10618, 618, 672, 7087, 496, 1698, 5853, 568, 2371, 1204, 236786, 52151, 236768, 573, 506, 2165, 828, 236779, 30053, 236779, 5930, 236779, 13308, 236929, 5904, 236761, 28344, 611, 2847, 506, 1698, 5853, 653, 10739, 529, 506, 3530, 4071, 236772, 216935, 5689, 611, 236789, 500, 7467, 528, 236881, 9920, 611, 4024, 672, 236764, 564, 740, 33205, 1061, 4889, 532, 2426, 784, 2487, 5469, 573, 611, 236761, 106, 107, 105, 2364, 107, 236777, 3050, 611, 1202, 496, 3530, 1698, 5853, 236761, 3792, 786, 1751, 1390, 564, 16355, 9333, 496, 4913, 5689, 2760, 623, 84585, 528, 160724, 236775, 684, 213554, 236789, 236751, 66026, 4585, 2372, 236761, 600, 4065, 52996, 18193, 9935, 236761, 28344, 611, 2426, 768, 672, 1698, 7519, 580, 9593, 684, 19460, 573, 1061, 9447, 1204, 236881, 564, 4646, 625, 236789, 236751, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 236764, 3635, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2953, 236761, 1637, 600, 236789, 236751, 21648, 236764, 1451, 611, 3600, 1217, 531, 16807, 672, 653, 1586, 496, 3361, 1903, 236772, 7577, 26135, 26497, 1610, 4071, 236772, 216935, 5689, 1699, 2487, 6436, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 63190, 26135, 66026, 4585, 12713, 236772, 894, 2694, 15806, 753, 167132, 71387, 7803, 827, 623, 9707, 1083, 3714, 4002, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 17368, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 1263, 623, 7777, 1083, 623, 25146, 4071, 236772, 216935, 5689, 18482, 52996, 26135, 26497, 1610, 9935, 607, 28239, 7983, 236764, 6672, 16271, 236764, 532, 37017, 7913, 236761, 49308, 877, 236772, 45223, 9130, 236764, 191290, 25843, 236764, 30659, 236764, 532, 11808, 573, 50415, 10498, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236819, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236828, 236778, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236810, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236778, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236771, 236761, 236810, 5237, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 14973, 236779, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 62856, 1083, 623, 39460, 236761, 854, 23179, 623, 112485, 1083, 3714, 2497, 236779, 37337, 1083, 1847, 236764, 623, 67671, 236779, 18700, 1083, 1847, 236764, 623, 28121, 236779, 112485, 1083, 78493, 1201, 1083, 623, 27015, 236743, 236778, 34332, 236764, 974, 236743, 236770, 236810, 236908, 1135, 827, 623, 70343, 1083, 236743, 236770, 236810, 236764, 623, 4730, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236800, 236771, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 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, 56905, 1083, 623, 902, 13827, 23179, 3714, 9707, 1083, 236743, 236778, 236832, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 62300, 3321, 1294, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 23179, 3714, 9707, 1083, 236743, 236800, 236778, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 236811, 36683, 9175, 10339, 8135, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 56905, 1083, 623, 902, 13827, 25938, 1604, 623, 6725, 236779, 112485, 1083, 236743, 236800, 236764, 623, 19859, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 573, 506, 5213, 236775, 63190, 26135, 66026, 4585, 12713, 236772, 894, 2694, 15806, 753, 167132, 71387, 7803, 236775, 1018, 568, 2371, 1204, 236787, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 1473, 108, 10354, 236743, 242507, 8231, 236772, 21998, 7303, 20303, 236787, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236770, 236764, 236778, 236828, 236819, 10595, 236768, 107, 236772, 5213, 11280, 66515, 609, 236778, 236812, 236761, 236819, 236819, 568, 14000, 609, 236810, 236761, 236771, 236771, 699, 3303, 609, 236778, 236819, 236761, 236819, 236819, 236768, 107, 236772, 5213, 27144, 66515, 49308, 877, 236772, 45223, 9130, 236764, 191290, 25843, 236764, 30659, 236764, 532, 52766, 236772, 18865, 11808, 236761, 107, 236772, 5213, 51164, 66515, 799, 2862, 568, 236770, 236810, 236771, 6630, 779, 13946, 236772, 90190, 4323, 9593, 236761, 108, 7243, 108, 10354, 236743, 247002, 2343, 18326, 80007, 236787, 107, 236909, 59562, 150, 236909, 14584, 139, 236909, 13946, 161465, 236881, 1109, 75669, 143, 236909, 107, 236909, 2819, 30104, 236909, 40686, 236909, 2819, 119434, 2819, 1040, 236909, 107, 236909, 5213, 39460, 1018, 146, 236909, 609, 236778, 236819, 236761, 236819, 236819, 138, 236909, 8438, 149, 236909, 799, 13827, 147, 236909, 107, 236909, 5213, 62300, 3321, 1294, 1018, 142, 236909, 609, 236778, 236832, 236761, 236810, 236771, 138, 236909, 2301, 150, 236909, 10522, 236743, 236800, 2378, 144, 236909, 107, 236909, 5213, 236811, 36683, 9175, 10339, 8135, 1018, 1109, 609, 236800, 236778, 236761, 236771, 236771, 138, 236909, 8438, 149, 236909, 799, 13827, 147, 236909, 108, 7243, 108, 10354, 236743, 244549, 9533, 24118, 236787, 107, 236770, 236761, 5213, 17043, 37936, 66515, 669, 5213, 236795, 236778, 236812, 236761, 236819, 236819, 13946, 236772, 90190, 2729, 1018, 580, 9593, 5132, 496, 5213, 236770, 236810, 236908, 20456, 12223, 1018, 568, 20786, 236743, 236778, 34332, 236768, 532, 496, 5213, 67671, 1018, 568, 2217, 18367, 528, 506, 5469, 1694, 840, 3505, 528, 1698, 4889, 769, 107, 236778, 236761, 5213, 11280, 37510, 66515, 669, 14723, 61861, 3385, 563, 5213, 236795, 236778, 236832, 236761, 236810, 236771, 1018, 568, 62300, 3321, 1294, 779, 840, 625, 236858, 236751, 711, 13946, 236772, 90190, 236761, 107, 236800, 236761, 5213, 211199, 66515, 1637, 611, 56856, 13946, 6417, 568, 8970, 12631, 236764, 7623, 779, 817, 607, 9593, 236858, 236751, 609, 236778, 236819, 236761, 236819, 236819, 2729, 236761, 1637, 611, 5278, 506, 14723, 3385, 532, 1537, 236858, 236745, 3666, 31878, 12631, 236764, 5347, 36903, 3321, 1294, 236761, 108, 38786, 611, 1133, 1601, 21186, 672, 4188, 653, 3342, 65977, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236888, 564, 236789, 236757, 67224, 236761, 564, 236789, 560, 1010, 6972, 1003, 1023, 14148, 11210, 4083, 33208, 532, 1093, 2765, 531, 1586, 496, 27355, 600, 16592, 1003, 625, 236761, 28344, 611, 1601, 786, 1586, 886, 236881, 5315, 236764, 7463, 974, 496, 4940, 2934, 1003, 2263, 4083, 531, 1460, 1144, 10562, 625, 13526, 236764, 532, 1299, 1586, 496, 27355, 607, 600, 3822, 236761, 564, 236789, 236753, 2126, 14756, 625, 236888, 106, 107, 105, 4368, 107, 236777, 3050, 611, 236789, 500, 3182, 573, 496, 27355, 1003, 14148, 11210, 4083, 236888, 3153, 236764, 564, 1202, 531, 37386, 600, 506, 2487, 6436, 1537, 236789, 236745, 1894, 672, 2864, 5467, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 669, 2165, 828, 236779, 7513, 236779, 15884, 236929, 5904, 1186, 12765, 623, 52068, 236775, 653, 623, 95857, 236775, 2934, 4458, 568, 527, 810, 1061, 6137, 779, 711, 2263, 4083, 14050, 236761, 2085, 236789, 236751, 951, 1595, 531, 974, 496, 4083, 236772, 10619, 2934, 1343, 672, 5904, 236761, 108, 236778, 236761, 669, 2165, 3250, 236779, 3250, 236779, 9082, 236929, 5904, 7087, 506, 808, 67655, 3822, 236829, 529, 496, 27355, 531, 33205, 625, 236764, 840, 993, 236789, 236751, 951, 5904, 531, 3927, 35091, 684, 10562, 653, 3004, 236761, 19446, 14111, 506, 3530, 3822, 529, 496, 14148, 11210, 236772, 68122, 27355, 236764, 564, 740, 236789, 236745, 12270, 625, 236761, 108, 38786, 611, 1133, 531, 236787, 107, 236772, 39525, 614, 4453, 27355, 3822, 4596, 531, 14148, 11210, 568, 236744, 236761, 236759, 1126, 623, 818, 33946, 236775, 653, 623, 54337, 11210, 40327, 3959, 532, 564, 236789, 859, 2426, 768, 625, 7519, 528, 506, 26448, 7948, 236881, 107, 236772, 46071, 2264, 1722, 529, 7609, 1699, 506, 2487, 6436, 568, 236744, 236761, 236759, 1126, 7611, 6527, 236764, 2862, 1262, 236764, 653, 35088, 4083, 20625, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 103453, 106, 107, 105, 2364, 107, 12932, 236764, 564, 1460, 236888, 564, 3782, 236789, 236745, 13808, 506, 6436, 981, 600, 1595, 236761, 7134, 236764, 1531, 236789, 236751, 2056, 672, 236787, 564, 236789, 560, 6827, 529, 496, 27355, 2760, 623, 61363, 8064, 236775, 1680, 237028, 46052, 611, 2426, 768, 600, 7519, 236881, 1452, 7463, 992, 623, 818, 33946, 7940, 51653, 14212, 2597, 1133, 901, 236789, 236753, 4691, 14148, 11210, 4083, 236761, 1637, 13637, 4146, 236764, 7463, 692, 740, 2056, 2264, 3822, 564, 236789, 236757, 6972, 529, 1390, 840, 564, 236789, 859, 5264, 625, 531, 611, 531, 1460, 1144, 236789, 236751, 528, 506, 7948, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 195278, 1083, 78493, 3250, 1083, 623, 61363, 8064, 827, 623, 6386, 1083, 623, 57643, 8759, 41088, 827, 623, 3955, 1083, 623, 818, 4667, 11979, 13030, 236764, 496, 10173, 9023, 2342, 506, 7217, 236764, 965, 562, 28442, 531, 19424, 600, 10161, 8797, 506, 8197, 236761, 965, 799, 14148, 11210, 236764, 1298, 506, 33946, 17752, 236764, 965, 1030, 33358, 236764, 496, 5404, 529, 5609, 532, 4614, 236761, 965, 16961, 37676, 74792, 528, 1061, 153441, 5528, 236764, 965, 1701, 1418, 4667, 5284, 236764, 1070, 8511, 4595, 169969, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 195278, 1083, 78493, 3250, 1083, 623, 818, 33946, 7940, 827, 623, 6386, 1083, 623, 57643, 8759, 41088, 827, 623, 3704, 1083, 236743, 236770, 236819, 236778, 236825, 236764, 623, 150082, 1083, 623, 236777, 236789, 560, 3224, 25971, 236787, 12440, 236764, 231513, 25971, 236761, 3551, 12556, 815, 12530, 5268, 1133, 506, 25971, 221476, 3714, 3250, 1083, 623, 818, 33946, 7940, 827, 623, 6386, 1083, 623, 27558, 96879, 184064, 827, 623, 3704, 1083, 236743, 236770, 236828, 236819, 236825, 236764, 623, 150082, 1083, 623, 818, 33946, 236764, 506, 1822, 236764, 506, 8864, 236764, 506, 3730, 236764, 965, 669, 45478, 8858, 236764, 19519, 580, 532, 580, 1390, 23179, 3714, 3250, 1083, 623, 818, 33946, 7940, 827, 623, 6386, 1083, 623, 61395, 10829, 9339, 827, 623, 3704, 1083, 236743, 236770, 236819, 236770, 236828, 236764, 623, 150082, 1083, 623, 818, 33946, 7940, 563, 496, 1440, 236764, 1440, 8858, 236761, 1030, 17752, 1343, 506, 3710, 529, 5711, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 35091, 564, 1765, 4596, 531, 14148, 11210, 4083, 236787, 108, 10354, 236743, 242507, 623, 61363, 8064, 236775, 684, 20410, 8759, 41088, 107, 236813, 808, 818, 4667, 11979, 13030, 236764, 496, 10173, 9023, 2342, 506, 7217, 236764, 138, 107, 236813, 562, 28442, 531, 19424, 600, 10161, 8797, 506, 8197, 236761, 138, 107, 236813, 799, 14148, 11210, 236764, 1298, 506, 33946, 17752, 236764, 138, 107, 236813, 1030, 33358, 236764, 496, 5404, 529, 5609, 532, 4614, 236761, 138, 107, 236813, 16961, 37676, 74792, 528, 1061, 153441, 5528, 236764, 138, 107, 236813, 1701, 1418, 4667, 5284, 236764, 1070, 8511, 4595, 169969, 9603, 108, 2094, 27355, 5467, 16441, 506, 56827, 8064, 568, 236746, 22799, 14148, 11210, 43123, 236768, 532, 32407, 625, 531, 22888, 529, 5609, 532, 11858, 16856, 236761, 108, 7243, 108, 10354, 236743, 244245, 623, 818, 33946, 7940, 236775, 35091, 236787, 107, 236770, 236761, 5213, 57643, 8759, 41088, 568, 236770, 236819, 236778, 236825, 62902, 138, 107, 139, 236813, 808, 236777, 236789, 560, 3224, 25971, 236787, 12440, 236764, 231513, 25971, 236761, 138, 107, 139, 236813, 3551, 12556, 815, 12530, 5268, 1133, 506, 25971, 9603, 138, 107, 139, 16907, 10282, 236787, 5978, 672, 78923, 563, 85867, 699, 41088, 236789, 623, 818, 59077, 224335, 529, 36835, 2098, 506, 5904, 15852, 625, 1208, 623, 818, 33946, 7940, 236775, 3822, 236761, 669, 33946, 563, 6082, 531, 14148, 11210, 236789, 9834, 2907, 236829, 108, 236778, 236761, 5213, 27558, 96879, 184064, 568, 236770, 236828, 236819, 236825, 62902, 138, 107, 139, 236813, 808, 818, 33946, 236764, 506, 1822, 236764, 506, 8864, 236764, 506, 3730, 236764, 138, 107, 139, 236813, 669, 45478, 8858, 236764, 19519, 580, 532, 580, 1390, 236829, 138, 107, 139, 16907, 236776, 73887, 32796, 531, 506, 8858, 236858, 236751, 60370, 6219, 528, 3668, 4083, 2907, 236829, 108, 236800, 236761, 5213, 61395, 10829, 9339, 568, 236770, 236819, 236770, 236828, 62902, 138, 107, 139, 236813, 808, 818, 33946, 7940, 563, 496, 1440, 236764, 1440, 8858, 236761, 138, 107, 139, 236813, 1030, 17752, 1343, 506, 3710, 529, 5711, 9603, 138, 107, 139, 16907, 39918, 9339, 236858, 236751, 3606, 3819, 8632, 41001, 23948, 506, 8858, 531, 5711, 236858, 236751, 9226, 7157, 237028, 54337, 11210, 23378, 3008, 1061, 2479, 2907, 236829, 108, 7243, 108, 3243, 1239, 35091, 3371, 531, 14148, 11210, 1343, 1061, 1346, 23906, 70836, 236787, 506, 56827, 8064, 532, 506, 33946, 7940, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236772, 19148, 496, 3530, 27355, 528, 2587, 236881, 107, 236772, 12808, 573, 2264, 14148, 11210, 236772, 10619, 3822, 236881, 107, 236772, 46071, 2613, 1663, 11716, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236888, 564, 236789, 236757, 67224, 236761, 564, 236789, 560, 1010, 6972, 1003, 1023, 14148, 11210, 4083, 33208, 532, 1093, 2765, 531, 1586, 496, 27355, 600, 16592, 1003, 625, 236761, 28344, 611, 1601, 786, 1586, 886, 236881, 5315, 236764, 7463, 974, 496, 4940, 2934, 1003, 2263, 4083, 531, 1460, 1144, 10562, 625, 13526, 236764, 532, 1299, 1586, 496, 27355, 607, 600, 3822, 236761, 564, 236789, 236753, 2126, 14756, 625, 236888, 106, 107, 105, 4368, 107, 236777, 3050, 611, 236789, 500, 3182, 573, 496, 27355, 1003, 14148, 11210, 4083, 236888, 3153, 236764, 564, 1202, 531, 37386, 600, 506, 2487, 6436, 1537, 236789, 236745, 1894, 672, 2864, 5467, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 669, 2165, 828, 236779, 7513, 236779, 15884, 236929, 5904, 1186, 12765, 623, 52068, 236775, 653, 623, 95857, 236775, 2934, 4458, 568, 527, 810, 1061, 6137, 779, 711, 2263, 4083, 14050, 236761, 2085, 236789, 236751, 951, 1595, 531, 974, 496, 4083, 236772, 10619, 2934, 1343, 672, 5904, 236761, 108, 236778, 236761, 669, 2165, 3250, 236779, 3250, 236779, 9082, 236929, 5904, 7087, 506, 808, 67655, 3822, 236829, 529, 496, 27355, 531, 33205, 625, 236764, 840, 993, 236789, 236751, 951, 5904, 531, 3927, 35091, 684, 10562, 653, 3004, 236761, 19446, 14111, 506, 3530, 3822, 529, 496, 14148, 11210, 236772, 68122, 27355, 236764, 564, 740, 236789, 236745, 12270, 625, 236761, 108, 38786, 611, 1133, 531, 236787, 107, 236772, 39525, 614, 4453, 27355, 3822, 4596, 531, 14148, 11210, 568, 236744, 236761, 236759, 1126, 623, 818, 33946, 236775, 653, 623, 54337, 11210, 40327, 3959, 532, 564, 236789, 859, 2426, 768, 625, 7519, 528, 506, 26448, 7948, 236881, 107, 236772, 46071, 2264, 1722, 529, 7609, 1699, 506, 2487, 6436, 568, 236744, 236761, 236759, 1126, 7611, 6527, 236764, 2862, 1262, 236764, 653, 35088, 4083, 20625, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 103453, 106, 107, 105, 2364, 107, 12932, 236764, 564, 1460, 236888, 564, 3782, 236789, 236745, 13808, 506, 6436, 981, 600, 1595, 236761, 7134, 236764, 1531, 236789, 236751, 2056, 672, 236787, 564, 236789, 560, 6827, 529, 496, 27355, 2760, 623, 61363, 8064, 236775, 1680, 237028, 46052, 611, 2426, 768, 600, 7519, 236881, 1452, 7463, 992, 623, 818, 33946, 7940, 51653, 14212, 2597, 1133, 901, 236789, 236753, 4691, 14148, 11210, 4083, 236761, 1637, 13637, 4146, 236764, 7463, 692, 740, 2056, 2264, 3822, 564, 236789, 236757, 6972, 529, 1390, 840, 564, 236789, 859, 5264, 625, 531, 611, 531, 1460, 1144, 236789, 236751, 528, 506, 7948, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 195278, 1083, 78493, 3250, 1083, 623, 61363, 8064, 827, 623, 6386, 1083, 623, 57643, 8759, 41088, 827, 623, 3955, 1083, 623, 818, 4667, 11979, 13030, 236764, 496, 10173, 9023, 2342, 506, 7217, 236764, 965, 562, 28442, 531, 19424, 600, 10161, 8797, 506, 8197, 236761, 965, 799, 14148, 11210, 236764, 1298, 506, 33946, 17752, 236764, 965, 1030, 33358, 236764, 496, 5404, 529, 5609, 532, 4614, 236761, 965, 16961, 37676, 74792, 528, 1061, 153441, 5528, 236764, 965, 1701, 1418, 4667, 5284, 236764, 1070, 8511, 4595, 169969, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 195278, 1083, 78493, 3250, 1083, 623, 818, 33946, 7940, 827, 623, 6386, 1083, 623, 57643, 8759, 41088, 827, 623, 3704, 1083, 236743, 236770, 236819, 236778, 236825, 236764, 623, 150082, 1083, 623, 236777, 236789, 560, 3224, 25971, 236787, 12440, 236764, 231513, 25971, 236761, 3551, 12556, 815, 12530, 5268, 1133, 506, 25971, 221476, 3714, 3250, 1083, 623, 818, 33946, 7940, 827, 623, 6386, 1083, 623, 27558, 96879, 184064, 827, 623, 3704, 1083, 236743, 236770, 236828, 236819, 236825, 236764, 623, 150082, 1083, 623, 818, 33946, 236764, 506, 1822, 236764, 506, 8864, 236764, 506, 3730, 236764, 965, 669, 45478, 8858, 236764, 19519, 580, 532, 580, 1390, 23179, 3714, 3250, 1083, 623, 818, 33946, 7940, 827, 623, 6386, 1083, 623, 61395, 10829, 9339, 827, 623, 3704, 1083, 236743, 236770, 236819, 236770, 236828, 236764, 623, 150082, 1083, 623, 818, 33946, 7940, 563, 496, 1440, 236764, 1440, 8858, 236761, 1030, 17752, 1343, 506, 3710, 529, 5711, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 35091, 564, 1765, 4596, 531, 14148, 11210, 4083, 236787, 108, 10354, 236743, 242507, 623, 61363, 8064, 236775, 684, 20410, 8759, 41088, 107, 236813, 808, 818, 4667, 11979, 13030, 236764, 496, 10173, 9023, 2342, 506, 7217, 236764, 138, 107, 236813, 562, 28442, 531, 19424, 600, 10161, 8797, 506, 8197, 236761, 138, 107, 236813, 799, 14148, 11210, 236764, 1298, 506, 33946, 17752, 236764, 138, 107, 236813, 1030, 33358, 236764, 496, 5404, 529, 5609, 532, 4614, 236761, 138, 107, 236813, 16961, 37676, 74792, 528, 1061, 153441, 5528, 236764, 138, 107, 236813, 1701, 1418, 4667, 5284, 236764, 1070, 8511, 4595, 169969, 9603, 108, 2094, 27355, 5467, 16441, 506, 56827, 8064, 568, 236746, 22799, 14148, 11210, 43123, 236768, 532, 32407, 625, 531, 22888, 529, 5609, 532, 11858, 16856, 236761, 108, 7243, 108, 10354, 236743, 244245, 623, 818, 33946, 7940, 236775, 35091, 236787, 107, 236770, 236761, 5213, 57643, 8759, 41088, 568, 236770, 236819, 236778, 236825, 62902, 138, 107, 139, 236813, 808, 236777, 236789, 560, 3224, 25971, 236787, 12440, 236764, 231513, 25971, 236761, 138, 107, 139, 236813, 3551, 12556, 815, 12530, 5268, 1133, 506, 25971, 9603, 138, 107, 139, 16907, 10282, 236787, 5978, 672, 78923, 563, 85867, 699, 41088, 236789, 623, 818, 59077, 224335, 529, 36835, 2098, 506, 5904, 15852, 625, 1208, 623, 818, 33946, 7940, 236775, 3822, 236761, 669, 33946, 563, 6082, 531, 14148, 11210, 236789, 9834, 2907, 236829, 108, 236778, 236761, 5213, 27558, 96879, 184064, 568, 236770, 236828, 236819, 236825, 62902, 138, 107, 139, 236813, 808, 818, 33946, 236764, 506, 1822, 236764, 506, 8864, 236764, 506, 3730, 236764, 138, 107, 139, 236813, 669, 45478, 8858, 236764, 19519, 580, 532, 580, 1390, 236829, 138, 107, 139, 16907, 236776, 73887, 32796, 531, 506, 8858, 236858, 236751, 60370, 6219, 528, 3668, 4083, 2907, 236829, 108, 236800, 236761, 5213, 61395, 10829, 9339, 568, 236770, 236819, 236770, 236828, 62902, 138, 107, 139, 236813, 808, 818, 33946, 7940, 563, 496, 1440, 236764, 1440, 8858, 236761, 138, 107, 139, 236813, 1030, 17752, 1343, 506, 3710, 529, 5711, 9603, 138, 107, 139, 16907, 39918, 9339, 236858, 236751, 3606, 3819, 8632, 41001, 23948, 506, 8858, 531, 5711, 236858, 236751, 9226, 7157, 237028, 54337, 11210, 23378, 3008, 1061, 2479, 2907, 236829, 108, 7243, 108, 3243, 1239, 35091, 3371, 531, 14148, 11210, 1343, 1061, 1346, 23906, 70836, 236787, 506, 56827, 8064, 532, 506, 33946, 7940, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236772, 19148, 496, 3530, 27355, 528, 2587, 236881, 107, 236772, 12808, 573, 2264, 14148, 11210, 236772, 10619, 3822, 236881, 107, 236772, 46071, 2613, 1663, 11716, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 5251, 13859, 1262, 532, 12524, 5405, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 974, 236779, 14801, 236779, 38548, 531, 1586, 9405, 236789, 236751, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 3393, 236761, 236743, 236778, 236761, 4298, 1161, 974, 236779, 75633, 236779, 13308, 607, 600, 2891, 3393, 531, 18855, 1239, 4945, 236787, 236743, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236764, 236743, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 236743, 236800, 236761, 12067, 236764, 3927, 236779, 1708, 236779, 23560, 607, 30136, 623, 5447, 27052, 236775, 532, 5383, 506, 1171, 7102, 236789, 236751, 1463, 236743, 236812, 236761, 9100, 3364, 4171, 1534, 600, 7102, 1463, 532, 623, 33856, 4993, 236775, 236743, 236810, 236761, 13472, 236764, 4903, 236779, 14210, 607, 784, 1239, 4889, 528, 496, 31044, 6518, 564, 1202, 672, 573, 84706, 5251, 4796, 67529, 532, 8159, 12524, 3004, 573, 1041, 2434, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 215539, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 38548, 1083, 78493, 14801, 236779, 1201, 1083, 623, 34692, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 4070, 827, 623, 13647, 1083, 623, 26179, 827, 623, 2204, 13647, 1083, 623, 48404, 3879, 23179, 3714, 14801, 236779, 1201, 1083, 623, 31756, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 11869, 827, 623, 13647, 1083, 623, 26179, 827, 623, 2204, 13647, 1083, 623, 48404, 3879, 23179, 3714, 14801, 236779, 1201, 1083, 623, 28892, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 25086, 827, 623, 13647, 1083, 623, 53601, 827, 623, 2204, 13647, 1083, 623, 83256, 11560, 23179, 3714, 14801, 236779, 1201, 1083, 623, 27211, 4184, 529, 5711, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 3118, 827, 623, 13647, 1083, 623, 11555, 6278, 827, 623, 2204, 13647, 1083, 623, 25907, 5711, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5640, 1083, 10955, 236812, 236819, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 4730, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 35896, 236779, 5640, 1083, 623, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 7125, 1083, 623, 89946, 827, 623, 82506, 1083, 623, 183718, 188244, 827, 623, 1257, 236779, 2084, 1083, 623, 23104, 23179, 3714, 5640, 1083, 10955, 236812, 236819, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 4730, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 35896, 236779, 5640, 1083, 623, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 7125, 1083, 623, 97267, 734, 827, 623, 82506, 1083, 623, 212060, 91981, 9405, 827, 623, 1257, 236779, 2084, 1083, 623, 23104, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10694, 1083, 623, 46456, 2483, 236764, 2506, 2303, 827, 623, 4874, 1114, 1083, 623, 46456, 2483, 236764, 2506, 2303, 827, 623, 10479, 2003, 1083, 623, 46456, 2483, 236764, 2506, 2303, 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, 10694, 1083, 623, 46456, 1908, 236772, 11681, 5192, 3393, 568, 236744, 236761, 236759, 1126, 756, 501, 963, 756, 893, 6979, 2506, 7738, 2483, 827, 623, 4874, 1114, 1083, 623, 46456, 1908, 236772, 11681, 73694, 8369, 236764, 2506, 7738, 2483, 827, 623, 10479, 2003, 1083, 623, 46456, 4341, 4260, 30667, 568, 236744, 236761, 236759, 1126, 756, 500, 113458, 963, 756, 1896, 6979, 2506, 7738, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23560, 1083, 78493, 12027, 236779, 547, 1083, 623, 13551, 147730, 685, 24516, 236766, 138564, 236828, 236750, 236935, 236755, 236819, 236766, 236796, 2402, 236747, 236777, 952, 827, 623, 1201, 1083, 623, 9084, 33302, 185749, 827, 623, 2204, 107538, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 12027, 236779, 547, 1083, 623, 13551, 236917, 236825, 236806, 236935, 236800, 236796, 236767, 5188, 236763, 236874, 6136, 236825, 236814, 236828, 236756, 236935, 3285, 13422, 827, 623, 1201, 1083, 623, 45946, 9426, 19839, 827, 623, 2204, 107538, 1083, 623, 236770, 236761, 236828, 236792, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236832, 104960, 623, 4874, 1114, 1083, 623, 119791, 1926, 6552, 236759, 12051, 8686, 40851, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236828, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11147, 236779, 8992, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14210, 236779, 547, 1083, 623, 42088, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 4818, 1083, 623, 17138, 827, 623, 3250, 1083, 623, 28061, 67653, 5774, 827, 623, 3955, 1083, 623, 34692, 568, 4070, 236768, 23386, 9661, 55163, 12289, 236749, 236772, 900, 236812, 236819, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236787, 30638, 236764, 15687, 236764, 62380, 188244, 236785, 236749, 236772, 900, 236812, 236819, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 236787, 30638, 236764, 46566, 236764, 109646, 9405, 236785, 236749, 236785, 236749, 53824, 21518, 12808, 12289, 236749, 59256, 236787, 7339, 5447, 27052, 123362, 236749, 8534, 11130, 236787, 14104, 33302, 185749, 568, 236778, 236761, 236770, 236792, 34610, 2911, 236749, 236785, 236749, 19892, 42507, 13768, 12289, 236749, 3771, 3364, 4171, 1765, 1534, 7339, 9084, 33302, 185749, 8455, 532, 7339, 33856, 4993, 123362, 236749, 236785, 236749, 10282, 236787, 2301, 48490, 3755, 13207, 1534, 7102, 1463, 532, 6647, 4993, 30136, 1781, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 7723, 784, 506, 15633, 9395, 532, 13957, 506, 1938, 1131, 496, 31044, 5433, 236761, 5715, 236789, 236751, 496, 12323, 529, 1144, 691, 3028, 236787, 108, 236770, 236761, 9405, 236789, 236751, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 3393, 691, 10778, 618, 623, 4070, 236775, 107, 236778, 236761, 10508, 9115, 5154, 4945, 964, 44526, 10428, 236787, 107, 139, 236772, 900, 236812, 236819, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 568, 89946, 236764, 62380, 188244, 236768, 107, 139, 236772, 900, 236812, 236819, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 568, 97267, 734, 236764, 109646, 9405, 236768, 107, 236800, 236761, 8231, 8582, 7102, 573, 623, 5447, 27052, 1083, 14104, 33302, 185749, 568, 236778, 236761, 236770, 236792, 34610, 236768, 107, 236812, 236761, 2301, 3364, 4171, 1765, 1534, 623, 9084, 33302, 185749, 236775, 532, 623, 33856, 4993, 236775, 107, 236810, 236761, 2343, 2536, 28725, 1131, 496, 5433, 21250, 623, 28061, 67653, 5774, 236775, 568, 1735, 236787, 36660, 236779, 236770, 236778, 236800, 236812, 236810, 236768, 108, 818, 5433, 5132, 4563, 236772, 15396, 15903, 1938, 573, 506, 9115, 4945, 532, 4889, 1003, 506, 8582, 7102, 3927, 2536, 236761, 21284, 611, 1133, 786, 531, 1386, 1027, 30981, 531, 506, 5433, 653, 2121, 4767, 18025, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 5251, 13859, 1262, 532, 12524, 5405, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 974, 236779, 14801, 236779, 38548, 531, 1586, 9405, 236789, 236751, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 3393, 236761, 236743, 236778, 236761, 4298, 1161, 974, 236779, 75633, 236779, 13308, 607, 600, 2891, 3393, 531, 18855, 1239, 4945, 236787, 236743, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236764, 236743, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 236743, 236800, 236761, 12067, 236764, 3927, 236779, 1708, 236779, 23560, 607, 30136, 623, 5447, 27052, 236775, 532, 5383, 506, 1171, 7102, 236789, 236751, 1463, 236743, 236812, 236761, 9100, 3364, 4171, 1534, 600, 7102, 1463, 532, 623, 33856, 4993, 236775, 236743, 236810, 236761, 13472, 236764, 4903, 236779, 14210, 607, 784, 1239, 4889, 528, 496, 31044, 6518, 564, 1202, 672, 573, 84706, 5251, 4796, 67529, 532, 8159, 12524, 3004, 573, 1041, 2434, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 215539, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 38548, 1083, 78493, 14801, 236779, 1201, 1083, 623, 34692, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 4070, 827, 623, 13647, 1083, 623, 26179, 827, 623, 2204, 13647, 1083, 623, 48404, 3879, 23179, 3714, 14801, 236779, 1201, 1083, 623, 31756, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 11869, 827, 623, 13647, 1083, 623, 26179, 827, 623, 2204, 13647, 1083, 623, 48404, 3879, 23179, 3714, 14801, 236779, 1201, 1083, 623, 28892, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 25086, 827, 623, 13647, 1083, 623, 53601, 827, 623, 2204, 13647, 1083, 623, 83256, 11560, 23179, 3714, 14801, 236779, 1201, 1083, 623, 27211, 4184, 529, 5711, 827, 623, 2482, 236778, 236779, 3970, 1083, 623, 3118, 827, 623, 13647, 1083, 623, 11555, 6278, 827, 623, 2204, 13647, 1083, 623, 25907, 5711, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5640, 1083, 10955, 236812, 236819, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 4730, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 35896, 236779, 5640, 1083, 623, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 7125, 1083, 623, 89946, 827, 623, 82506, 1083, 623, 183718, 188244, 827, 623, 1257, 236779, 2084, 1083, 623, 23104, 23179, 3714, 5640, 1083, 10955, 236812, 236819, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 4730, 1083, 1847, 236764, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 35896, 236779, 5640, 1083, 623, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 7125, 1083, 623, 97267, 734, 827, 623, 82506, 1083, 623, 212060, 91981, 9405, 827, 623, 1257, 236779, 2084, 1083, 623, 23104, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 10694, 1083, 623, 46456, 2483, 236764, 2506, 2303, 827, 623, 4874, 1114, 1083, 623, 46456, 2483, 236764, 2506, 2303, 827, 623, 10479, 2003, 1083, 623, 46456, 2483, 236764, 2506, 2303, 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, 10694, 1083, 623, 46456, 1908, 236772, 11681, 5192, 3393, 568, 236744, 236761, 236759, 1126, 756, 501, 963, 756, 893, 6979, 2506, 7738, 2483, 827, 623, 4874, 1114, 1083, 623, 46456, 1908, 236772, 11681, 73694, 8369, 236764, 2506, 7738, 2483, 827, 623, 10479, 2003, 1083, 623, 46456, 4341, 4260, 30667, 568, 236744, 236761, 236759, 1126, 756, 500, 113458, 963, 756, 1896, 6979, 2506, 7738, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23560, 1083, 78493, 12027, 236779, 547, 1083, 623, 13551, 147730, 685, 24516, 236766, 138564, 236828, 236750, 236935, 236755, 236819, 236766, 236796, 2402, 236747, 236777, 952, 827, 623, 1201, 1083, 623, 9084, 33302, 185749, 827, 623, 2204, 107538, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 12027, 236779, 547, 1083, 623, 13551, 236917, 236825, 236806, 236935, 236800, 236796, 236767, 5188, 236763, 236874, 6136, 236825, 236814, 236828, 236756, 236935, 3285, 13422, 827, 623, 1201, 1083, 623, 45946, 9426, 19839, 827, 623, 2204, 107538, 1083, 623, 236770, 236761, 236828, 236792, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236832, 104960, 623, 4874, 1114, 1083, 623, 119791, 1926, 6552, 236759, 12051, 8686, 40851, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236828, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11147, 236779, 8992, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14210, 236779, 547, 1083, 623, 42088, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 4818, 1083, 623, 17138, 827, 623, 3250, 1083, 623, 28061, 67653, 5774, 827, 623, 3955, 1083, 623, 34692, 568, 4070, 236768, 23386, 9661, 55163, 12289, 236749, 236772, 900, 236812, 236819, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236787, 30638, 236764, 15687, 236764, 62380, 188244, 236785, 236749, 236772, 900, 236812, 236819, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 236787, 30638, 236764, 46566, 236764, 109646, 9405, 236785, 236749, 236785, 236749, 53824, 21518, 12808, 12289, 236749, 59256, 236787, 7339, 5447, 27052, 123362, 236749, 8534, 11130, 236787, 14104, 33302, 185749, 568, 236778, 236761, 236770, 236792, 34610, 2911, 236749, 236785, 236749, 19892, 42507, 13768, 12289, 236749, 3771, 3364, 4171, 1765, 1534, 7339, 9084, 33302, 185749, 8455, 532, 7339, 33856, 4993, 123362, 236749, 236785, 236749, 10282, 236787, 2301, 48490, 3755, 13207, 1534, 7102, 1463, 532, 6647, 4993, 30136, 1781, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 7723, 784, 506, 15633, 9395, 532, 13957, 506, 1938, 1131, 496, 31044, 5433, 236761, 5715, 236789, 236751, 496, 12323, 529, 1144, 691, 3028, 236787, 108, 236770, 236761, 9405, 236789, 236751, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 3393, 691, 10778, 618, 623, 4070, 236775, 107, 236778, 236761, 10508, 9115, 5154, 4945, 964, 44526, 10428, 236787, 107, 139, 236772, 900, 236812, 236819, 236770, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 568, 89946, 236764, 62380, 188244, 236768, 107, 139, 236772, 900, 236812, 236819, 236770, 236832, 236832, 236819, 236828, 236832, 236825, 236810, 236812, 568, 97267, 734, 236764, 109646, 9405, 236768, 107, 236800, 236761, 8231, 8582, 7102, 573, 623, 5447, 27052, 1083, 14104, 33302, 185749, 568, 236778, 236761, 236770, 236792, 34610, 236768, 107, 236812, 236761, 2301, 3364, 4171, 1765, 1534, 623, 9084, 33302, 185749, 236775, 532, 623, 33856, 4993, 236775, 107, 236810, 236761, 2343, 2536, 28725, 1131, 496, 5433, 21250, 623, 28061, 67653, 5774, 236775, 568, 1735, 236787, 36660, 236779, 236770, 236778, 236800, 236812, 236810, 236768, 108, 818, 5433, 5132, 4563, 236772, 15396, 15903, 1938, 573, 506, 9115, 4945, 532, 4889, 1003, 506, 8582, 7102, 3927, 2536, 236761, 21284, 611, 1133, 786, 531, 1386, 1027, 30981, 531, 506, 5433, 653, 2121, 4767, 18025, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236789, 560, 1010, 2844, 580, 672, 1610, 11764, 4317, 600, 28619, 506, 34824, 529, 1041, 31882, 981, 607, 7628, 62325, 236761, 564, 1202, 496, 87880, 4009, 10884, 528, 1041, 11452, 531, 1594, 506, 3495, 236761, 28344, 611, 1161, 506, 165427, 709, 9299, 531, 1441, 496, 67722, 6921, 529, 22391, 5057, 96487, 532, 7628, 7426, 35381, 657, 21037, 5542, 236881, 51909, 5354, 580, 236764, 48699, 1135, 753, 564, 1461, 506, 7501, 531, 2727, 213468, 1133, 18241, 40070, 38330, 872, 236761, 669, 4009, 1374, 104184, 506, 8178, 529, 37007, 1343, 1765, 7751, 657, 38306, 236764, 7463, 607, 1070, 79198, 236772, 661, 34624, 53091, 528, 236761, 27384, 611, 740, 1601, 1076, 600, 11661, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 164800, 3931, 827, 623, 10494, 236779, 547, 1083, 623, 93789, 236779, 13066, 236779, 33508, 236779, 236771, 236771, 236770, 827, 623, 20845, 1083, 236743, 236810, 236771, 236764, 623, 23993, 1083, 1847, 236764, 623, 56305, 1083, 2416, 236764, 623, 4375, 1083, 623, 120664, 7628, 6921, 5662, 607, 79198, 236772, 661, 34624, 236761, 26036, 1076, 531, 236743, 236810, 236771, 10014, 15229, 5354, 5158, 236761, 59736, 795, 2727, 213468, 1133, 18241, 40070, 120022, 1781, 236783, 106, 107, 105, 4368, 107, 818, 22391, 7628, 6921, 563, 1492, 5662, 528, 822, 11452, 607, 506, 9155, 7846, 236787, 138, 107, 236772, 5213, 32394, 53121, 236743, 236810, 236771, 236908, 568, 114292, 236768, 138, 107, 236772, 5213, 55107, 27737, 53121, 222271, 568, 13939, 522, 1133, 18241, 40070, 120022, 236768, 138, 107, 236772, 5213, 181151, 53121, 150120, 568, 12346, 742, 7501, 236768, 138, 107, 236772, 5213, 20216, 236751, 53121, 7585, 2694, 236772, 661, 34624, 53091, 1024, 22391, 5057, 96487, 531, 104184, 38306, 236772, 18114, 2495, 37007, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 4009, 5853, 236764, 100257, 506, 5542, 236764, 653, 17114, 506, 55386, 6868, 3342, 236888, 236743, 245838, 478, 397, 380, 393, 238178, 106, 107, 105, 2364, 107, 12879, 573, 3978, 506, 13916, 15026, 236761, 4224, 600, 564, 236789, 236757, 9903, 506, 7350, 236764, 564, 13808, 625, 3548, 496, 81964, 3408, 531, 14701, 506, 155886, 529, 70605, 150722, 6049, 1343, 167576, 236761, 28344, 611, 25139, 496, 2708, 236772, 27521, 8459, 12222, 25038, 506, 22391, 12627, 236881, 33128, 29110, 600, 136759, 31882, 28079, 9935, 236761, 6542, 236764, 1451, 611, 8633, 506, 55386, 1900, 531, 1502, 607, 506, 79198, 236772, 661, 17047, 1680, 74354, 1131, 506, 22391, 34624, 236881, 27384, 529, 625, 1133, 35447, 18241, 753, 31044, 657, 1171, 236764, 1299, 86275, 1131, 60548, 236761, 26036, 135749, 531, 236743, 236825, 236771, 236908, 573, 2480, 17864, 25828, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 2064, 236779, 187499, 1083, 623, 1555, 827, 623, 4002, 236779, 12291, 1083, 3714, 20845, 1083, 236743, 236825, 236771, 236764, 623, 23993, 1083, 1847, 236764, 623, 56305, 1083, 2416, 236764, 623, 10494, 236779, 547, 1083, 623, 71758, 236779, 93789, 236779, 33508, 236779, 236771, 236771, 236778, 827, 623, 213002, 236779, 2400, 1083, 623, 12697, 827, 623, 83554, 236779, 7508, 1083, 623, 44435, 23179, 623, 4375, 1083, 623, 14357, 55386, 20843, 607, 2708, 236772, 27521, 8459, 12222, 6352, 532, 79198, 236772, 661, 7501, 13546, 236761, 26036, 1076, 531, 236743, 236825, 236771, 236908, 607, 17864, 25828, 18088, 1781, 236783, 106, 107, 105, 4368, 107, 818, 4009, 815, 1010, 10448, 531, 4241, 822, 10040, 236787, 138, 107, 236772, 5213, 81343, 138403, 53121, 14533, 236772, 27521, 12222, 53091, 25038, 22391, 34624, 236764, 161887, 70605, 20411, 155886, 236761, 138, 107, 236772, 5213, 164800, 12045, 53121, 7585, 2694, 236772, 661, 17047, 1492, 2080, 236764, 94367, 1131, 22391, 34624, 568, 65448, 531, 7628, 2727, 769, 138, 107, 236772, 5213, 32394, 53121, 54139, 524, 531, 236743, 236825, 236771, 236908, 573, 65046, 17864, 25828, 236761, 138, 108, 818, 6921, 1374, 1492, 14701, 506, 7671, 236772, 37474, 529, 31882, 28079, 1651, 16977, 1061, 7628, 7157, 236761, 44096, 531, 100257, 3342, 768, 4354, 236888, 236743, 247173, 246727, 106, 107, 105, 2364, 107, 2046, 192716, 506, 170935, 236764, 840, 506, 12222, 11906, 2311, 26162, 1492, 753, 1133, 496, 108308, 580, 49867, 5205, 529, 496, 25638, 34824, 236761, 28344, 611, 27674, 506, 2708, 236772, 27521, 39802, 531, 506, 7426, 34824, 529, 18241, 12972, 61960, 580, 1041, 11452, 3549, 19360, 236881, 669, 12222, 1374, 2601, 19753, 1056, 506, 79198, 236772, 661, 756, 41084, 236789, 8633, 10681, 236761, 6542, 236764, 506, 25477, 1534, 79198, 532, 22391, 2036, 6220, 174588, 753, 740, 611, 12986, 496, 4071, 31446, 1298, 506, 22391, 34624, 56490, 1131, 506, 79198, 12627, 1133, 19764, 176683, 528, 1813, 236881, 26036, 1374, 12372, 531, 236743, 236810, 236810, 236908, 1913, 25477, 531, 37837, 506, 56490, 1763, 236761, 27384, 529, 625, 618, 37619, 1194, 496, 26500, 236789, 236751, 41371, 753, 18510, 607, 2727, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2064, 1083, 623, 1555, 827, 623, 20845, 1083, 236743, 236810, 236810, 236764, 623, 23993, 1083, 1847, 236764, 623, 56305, 1083, 2416, 236764, 623, 10494, 236779, 547, 1083, 623, 176861, 236779, 93789, 236779, 33508, 236779, 236771, 236771, 236800, 827, 623, 4818, 1083, 623, 5034, 827, 623, 24639, 236779, 11424, 1083, 623, 20955, 31446, 236779, 4060, 236779, 20845, 236779, 51883, 827, 623, 23497, 236779, 4818, 1083, 623, 39699, 236779, 20156, 236779, 236750, 89662, 236779, 4647, 25938, 106, 107, 105, 4368, 107, 818, 6921, 1492, 186300, 607, 822, 11452, 236789, 236751, 34824, 236787, 138, 107, 236772, 5213, 62298, 31409, 5615, 53121, 14533, 236772, 27521, 39161, 8913, 13275, 607, 18241, 5346, 78537, 236786, 3626, 2694, 236772, 6264, 24637, 568, 39699, 236786, 20156, 6623, 9340, 769, 138, 107, 236772, 5213, 150330, 161073, 53121, 102736, 34624, 56490, 1131, 79198, 12627, 4323, 4071, 31446, 236764, 607, 496, 236743, 236810, 236810, 236908, 5542, 12372, 1913, 25477, 573, 600, 623, 961, 176683, 236775, 213913, 236761, 138, 107, 236772, 5213, 8571, 170770, 19179, 53121, 212793, 108308, 89970, 12043, 607, 496, 26500, 236772, 5282, 41371, 2192, 18997, 3819, 10293, 236761, 138, 108, 6481, 786, 1281, 768, 506, 27674, 11906, 1135, 653, 768, 506, 4071, 31446, 3548, 919, 236786, 1933, 623, 961, 84561, 236775, 12732, 236888, 236743, 247211, 246434, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236789, 560, 1010, 2844, 580, 672, 1610, 11764, 4317, 600, 28619, 506, 34824, 529, 1041, 31882, 981, 607, 7628, 62325, 236761, 564, 1202, 496, 87880, 4009, 10884, 528, 1041, 11452, 531, 1594, 506, 3495, 236761, 28344, 611, 1161, 506, 165427, 709, 9299, 531, 1441, 496, 67722, 6921, 529, 22391, 5057, 96487, 532, 7628, 7426, 35381, 657, 21037, 5542, 236881, 51909, 5354, 580, 236764, 48699, 1135, 753, 564, 1461, 506, 7501, 531, 2727, 213468, 1133, 18241, 40070, 38330, 872, 236761, 669, 4009, 1374, 104184, 506, 8178, 529, 37007, 1343, 1765, 7751, 657, 38306, 236764, 7463, 607, 1070, 79198, 236772, 661, 34624, 53091, 528, 236761, 27384, 611, 740, 1601, 1076, 600, 11661, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 164800, 3931, 827, 623, 10494, 236779, 547, 1083, 623, 93789, 236779, 13066, 236779, 33508, 236779, 236771, 236771, 236770, 827, 623, 20845, 1083, 236743, 236810, 236771, 236764, 623, 23993, 1083, 1847, 236764, 623, 56305, 1083, 2416, 236764, 623, 4375, 1083, 623, 120664, 7628, 6921, 5662, 607, 79198, 236772, 661, 34624, 236761, 26036, 1076, 531, 236743, 236810, 236771, 10014, 15229, 5354, 5158, 236761, 59736, 795, 2727, 213468, 1133, 18241, 40070, 120022, 1781, 236783, 106, 107, 105, 4368, 107, 818, 22391, 7628, 6921, 563, 1492, 5662, 528, 822, 11452, 607, 506, 9155, 7846, 236787, 138, 107, 236772, 5213, 32394, 53121, 236743, 236810, 236771, 236908, 568, 114292, 236768, 138, 107, 236772, 5213, 55107, 27737, 53121, 222271, 568, 13939, 522, 1133, 18241, 40070, 120022, 236768, 138, 107, 236772, 5213, 181151, 53121, 150120, 568, 12346, 742, 7501, 236768, 138, 107, 236772, 5213, 20216, 236751, 53121, 7585, 2694, 236772, 661, 34624, 53091, 1024, 22391, 5057, 96487, 531, 104184, 38306, 236772, 18114, 2495, 37007, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 4009, 5853, 236764, 100257, 506, 5542, 236764, 653, 17114, 506, 55386, 6868, 3342, 236888, 236743, 245838, 478, 397, 380, 393, 238178, 106, 107, 105, 2364, 107, 12879, 573, 3978, 506, 13916, 15026, 236761, 4224, 600, 564, 236789, 236757, 9903, 506, 7350, 236764, 564, 13808, 625, 3548, 496, 81964, 3408, 531, 14701, 506, 155886, 529, 70605, 150722, 6049, 1343, 167576, 236761, 28344, 611, 25139, 496, 2708, 236772, 27521, 8459, 12222, 25038, 506, 22391, 12627, 236881, 33128, 29110, 600, 136759, 31882, 28079, 9935, 236761, 6542, 236764, 1451, 611, 8633, 506, 55386, 1900, 531, 1502, 607, 506, 79198, 236772, 661, 17047, 1680, 74354, 1131, 506, 22391, 34624, 236881, 27384, 529, 625, 1133, 35447, 18241, 753, 31044, 657, 1171, 236764, 1299, 86275, 1131, 60548, 236761, 26036, 135749, 531, 236743, 236825, 236771, 236908, 573, 2480, 17864, 25828, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 2064, 236779, 187499, 1083, 623, 1555, 827, 623, 4002, 236779, 12291, 1083, 3714, 20845, 1083, 236743, 236825, 236771, 236764, 623, 23993, 1083, 1847, 236764, 623, 56305, 1083, 2416, 236764, 623, 10494, 236779, 547, 1083, 623, 71758, 236779, 93789, 236779, 33508, 236779, 236771, 236771, 236778, 827, 623, 213002, 236779, 2400, 1083, 623, 12697, 827, 623, 83554, 236779, 7508, 1083, 623, 44435, 23179, 623, 4375, 1083, 623, 14357, 55386, 20843, 607, 2708, 236772, 27521, 8459, 12222, 6352, 532, 79198, 236772, 661, 7501, 13546, 236761, 26036, 1076, 531, 236743, 236825, 236771, 236908, 607, 17864, 25828, 18088, 1781, 236783, 106, 107, 105, 4368, 107, 818, 4009, 815, 1010, 10448, 531, 4241, 822, 10040, 236787, 138, 107, 236772, 5213, 81343, 138403, 53121, 14533, 236772, 27521, 12222, 53091, 25038, 22391, 34624, 236764, 161887, 70605, 20411, 155886, 236761, 138, 107, 236772, 5213, 164800, 12045, 53121, 7585, 2694, 236772, 661, 17047, 1492, 2080, 236764, 94367, 1131, 22391, 34624, 568, 65448, 531, 7628, 2727, 769, 138, 107, 236772, 5213, 32394, 53121, 54139, 524, 531, 236743, 236825, 236771, 236908, 573, 65046, 17864, 25828, 236761, 138, 108, 818, 6921, 1374, 1492, 14701, 506, 7671, 236772, 37474, 529, 31882, 28079, 1651, 16977, 1061, 7628, 7157, 236761, 44096, 531, 100257, 3342, 768, 4354, 236888, 236743, 247173, 246727, 106, 107, 105, 2364, 107, 2046, 192716, 506, 170935, 236764, 840, 506, 12222, 11906, 2311, 26162, 1492, 753, 1133, 496, 108308, 580, 49867, 5205, 529, 496, 25638, 34824, 236761, 28344, 611, 27674, 506, 2708, 236772, 27521, 39802, 531, 506, 7426, 34824, 529, 18241, 12972, 61960, 580, 1041, 11452, 3549, 19360, 236881, 669, 12222, 1374, 2601, 19753, 1056, 506, 79198, 236772, 661, 756, 41084, 236789, 8633, 10681, 236761, 6542, 236764, 506, 25477, 1534, 79198, 532, 22391, 2036, 6220, 174588, 753, 740, 611, 12986, 496, 4071, 31446, 1298, 506, 22391, 34624, 56490, 1131, 506, 79198, 12627, 1133, 19764, 176683, 528, 1813, 236881, 26036, 1374, 12372, 531, 236743, 236810, 236810, 236908, 1913, 25477, 531, 37837, 506, 56490, 1763, 236761, 27384, 529, 625, 618, 37619, 1194, 496, 26500, 236789, 236751, 41371, 753, 18510, 607, 2727, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2064, 1083, 623, 1555, 827, 623, 20845, 1083, 236743, 236810, 236810, 236764, 623, 23993, 1083, 1847, 236764, 623, 56305, 1083, 2416, 236764, 623, 10494, 236779, 547, 1083, 623, 176861, 236779, 93789, 236779, 33508, 236779, 236771, 236771, 236800, 827, 623, 4818, 1083, 623, 5034, 827, 623, 24639, 236779, 11424, 1083, 623, 20955, 31446, 236779, 4060, 236779, 20845, 236779, 51883, 827, 623, 23497, 236779, 4818, 1083, 623, 39699, 236779, 20156, 236779, 236750, 89662, 236779, 4647, 25938, 106, 107, 105, 4368, 107, 818, 6921, 1492, 186300, 607, 822, 11452, 236789, 236751, 34824, 236787, 138, 107, 236772, 5213, 62298, 31409, 5615, 53121, 14533, 236772, 27521, 39161, 8913, 13275, 607, 18241, 5346, 78537, 236786, 3626, 2694, 236772, 6264, 24637, 568, 39699, 236786, 20156, 6623, 9340, 769, 138, 107, 236772, 5213, 150330, 161073, 53121, 102736, 34624, 56490, 1131, 79198, 12627, 4323, 4071, 31446, 236764, 607, 496, 236743, 236810, 236810, 236908, 5542, 12372, 1913, 25477, 573, 600, 623, 961, 176683, 236775, 213913, 236761, 138, 107, 236772, 5213, 8571, 170770, 19179, 53121, 212793, 108308, 89970, 12043, 607, 496, 26500, 236772, 5282, 41371, 2192, 18997, 3819, 10293, 236761, 138, 108, 6481, 786, 1281, 768, 506, 27674, 11906, 1135, 653, 768, 506, 4071, 31446, 3548, 919, 236786, 1933, 623, 961, 84561, 236775, 12732, 236888, 236743, 247211, 246434, 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, 47545, 236764, 532, 564, 236789, 236757, 35447, 496, 3399, 8699, 657, 1023, 2263, 3988, 1590, 528, 143357, 1003, 10022, 2352, 18506, 580, 25260, 21274, 236761, 564, 236858, 236753, 2765, 531, 1502, 684, 35329, 4803, 10022, 12606, 699, 808, 818, 1799, 3773, 11922, 236829, 531, 9385, 19317, 573, 1023, 12309, 236761, 28344, 611, 33205, 506, 6524, 1806, 10308, 580, 672, 10562, 699, 1091, 236881, 564, 1586, 910, 8646, 13761, 6412, 13868, 236764, 532, 625, 1093, 1601, 786, 5528, 506, 2460, 2101, 1873, 1262, 532, 8511, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 138827, 114494, 67296, 501, 59988, 49598, 236764, 13476, 11922, 13768, 56217, 827, 623, 3955, 1083, 623, 4199, 3773, 11922, 10022, 2434, 7248, 53496, 35163, 6224, 3008, 749, 236761, 236773, 236761, 21065, 9383, 8721, 236764, 607, 143357, 236789, 236751, 74778, 7969, 13668, 35995, 5013, 699, 236743, 236778, 236771, 236778, 236812, 236789, 236751, 3423, 236772, 28384, 12978, 146023, 49256, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 166601, 236772, 44215, 827, 623, 6386, 1083, 623, 72464, 15416, 236764, 32319, 7621, 60361, 23179, 3714, 3250, 1083, 623, 46640, 140165, 40121, 236787, 2088, 31079, 129778, 9354, 108333, 38104, 12069, 5829, 827, 623, 3955, 1083, 623, 9818, 2748, 51972, 10373, 728, 236789, 236751, 6595, 4882, 82103, 2203, 236764, 9722, 31172, 742, 11298, 573, 143357, 236789, 236751, 16038, 45694, 35691, 17358, 49256, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236770, 236770, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 163093, 236772, 4925, 236772, 44215, 827, 623, 6386, 1083, 623, 23549, 100122, 1250, 236764, 18592, 23566, 23179, 3714, 3250, 1083, 623, 110553, 132421, 236787, 32319, 32180, 79913, 5641, 59988, 6863, 27923, 827, 623, 3955, 1083, 623, 32660, 554, 1280, 2072, 21577, 236743, 236812, 236771, 236771, 236908, 13671, 8110, 528, 1799, 3773, 236789, 236751, 25260, 20874, 2338, 236743, 236778, 236771, 236778, 236771, 236764, 607, 143357, 236789, 236751, 51179, 12428, 8812, 9302, 4652, 36513, 49256, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 101436, 236772, 162169, 827, 623, 6386, 1083, 623, 192805, 50439, 236764, 7449, 833, 32319, 25938, 1604, 623, 6265, 1083, 623, 818, 1799, 3773, 11922, 827, 623, 1643, 774, 236779, 1708, 1083, 623, 99078, 18506, 580, 25260, 8904, 827, 623, 4243, 3986, 1111, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 1806, 1799, 3773, 11922, 10308, 580, 10022, 18506, 7798, 531, 25260, 8904, 1133, 143357, 236787, 108, 236770, 236761, 5213, 236775, 138827, 114494, 67296, 501, 59988, 49598, 236775, 1018, 138, 107, 139, 236829, 2292, 30598, 15416, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 126115, 36477, 35163, 6224, 532, 12978, 19902, 13682, 21574, 74778, 7969, 528, 143357, 532, 1032, 21065, 25260, 21274, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 166601, 236772, 44215, 236768, 108, 236778, 236761, 5213, 236775, 46640, 140165, 40121, 236787, 10373, 728, 236789, 236751, 21887, 47179, 1257, 21942, 236775, 1018, 138, 107, 139, 236829, 2292, 6822, 100122, 1250, 568, 27393, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 20647, 2985, 31172, 742, 11298, 573, 25260, 35691, 236764, 2440, 22790, 24037, 8403, 143357, 1451, 8846, 573, 1061, 45694, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 163093, 236772, 4925, 236772, 44215, 236768, 108, 236800, 236761, 5213, 236775, 110553, 132421, 236787, 32319, 32180, 79913, 5641, 59988, 6863, 27923, 236775, 1018, 138, 107, 139, 236829, 2292, 71918, 50439, 568, 27393, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 1683, 61151, 87846, 8657, 5384, 528, 25260, 20874, 532, 2263, 19898, 1133, 143357, 236858, 236751, 9302, 4652, 36513, 531, 3856, 10465, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 101436, 236772, 162169, 236768, 108, 9208, 10308, 2847, 25558, 1262, 580, 5663, 236764, 5527, 236764, 532, 34066, 8991, 13668, 25260, 21274, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 188999, 2307, 8699, 3298, 653, 21558, 2263, 11848, 6950, 528, 506, 9097, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 1239, 44027, 45654, 236888, 669, 10373, 728, 29140, 2028, 12956, 1041, 7068, 237028, 14070, 496, 4011, 2591, 531, 11327, 573, 1023, 45694, 236761, 28344, 611, 2426, 808, 818, 143357, 77742, 236829, 2148, 236881, 564, 236858, 236753, 2765, 531, 4071, 236772, 30449, 2263, 12606, 529, 143357, 236858, 236751, 8657, 19898, 6950, 528, 506, 4168, 4676, 236761, 3792, 236858, 236751, 1460, 768, 901, 236858, 560, 40837, 10465, 653, 5148, 67172, 5467, 1003, 1724, 9302, 4652, 36513, 236761, 564, 236858, 236753, 1133, 531, 8357, 3399, 27892, 528, 1023, 8699, 236764, 711, 1164, 4559, 32557, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236794, 3177, 76751, 163065, 799, 580, 59988, 21174, 176944, 827, 623, 6386, 1083, 623, 1829, 2032, 42793, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 13149, 27892, 8357, 9726, 12047, 531, 143357, 236789, 236751, 10037, 4652, 236772, 58205, 2028, 573, 18226, 8657, 236764, 607, 22555, 699, 66158, 236764, 1944, 1960, 8170, 236764, 532, 19312, 67172, 10498, 623, 3955, 1083, 623, 902, 496, 21064, 5148, 11967, 5395, 1774, 9863, 236764, 143357, 77742, 32108, 17755, 12801, 32557, 580, 506, 5148, 236789, 236751, 6195, 3399, 236772, 5140, 8657, 7444, 236761, 179498, 43768, 72865, 8977, 10928, 1003, 101366, 236787, 756, 1882, 4911, 580, 28594, 7094, 753, 1239, 55985, 1202, 531, 5138, 607, 1023, 8216, 2727, 7085, 28641, 236764, 11321, 47405, 21516, 15416, 35630, 12308, 12434, 236787, 756, 7711, 861, 74778, 712, 11803, 1921, 8913, 607, 1027, 8657, 36808, 531, 2619, 53091, 6733, 7085, 669, 4676, 5132, 3962, 1982, 10704, 12657, 532, 1806, 47405, 11461, 1003, 4652, 45759, 11298, 10498, 623, 21052, 1083, 3714, 19112, 1083, 11058, 66518, 29140, 827, 623, 101436, 827, 623, 37939, 15154, 14255, 623, 6265, 1083, 623, 824, 7329, 1863, 2355, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4764, 236779, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2263, 12606, 699, 808, 818, 143357, 77742, 236829, 1003, 143357, 236789, 236751, 25260, 8657, 19898, 236787, 108, 1018, 236775, 236794, 3177, 76751, 163065, 799, 580, 59988, 21174, 176944, 236775, 1018, 138, 107, 236829, 2292, 56928, 42793, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 2094, 4676, 41080, 1982, 3399, 27892, 1003, 506, 5148, 236789, 236751, 861, 4652, 236772, 58205, 8657, 2028, 236764, 2440, 236787, 138, 107, 236772, 5213, 112181, 72865, 125546, 496, 79539, 236764, 31470, 101366, 10928, 236787, 165996, 1882, 4911, 580, 28594, 7094, 1271, 1239, 55985, 1202, 531, 5138, 607, 1023, 8216, 2727, 1781, 236829, 138, 107, 236772, 5213, 65944, 15416, 125546, 614, 11321, 47405, 236764, 83230, 573, 12308, 25000, 236787, 165996, 7711, 861, 74778, 712, 11803, 1921, 8913, 607, 8657, 36808, 531, 2619, 53091, 6733, 1781, 236829, 138, 108, 818, 6347, 5132, 3962, 10704, 12657, 532, 1806, 47405, 11461, 1003, 41346, 5527, 532, 5663, 35691, 236761, 5978, 951, 1982, 3205, 563, 2487, 236764, 564, 740, 2847, 3530, 124196, 653, 49573, 2307, 22888, 568, 236744, 236761, 236759, 1126, 101366, 236764, 3399, 5210, 236764, 8330, 12434, 236768, 531, 31650, 822, 8699, 236761, 21284, 611, 1133, 19276, 3671, 529, 1239, 2263, 32557, 236881, 106, 107, 105, 2364, 107, 54133, 236888, 3792, 236858, 236751, 30386, 19276, 1131, 506, 101366, 7275, 1271, 43768, 72865, 236858, 236751, 14993, 1003, 28594, 7094, 2126, 104811, 506, 3246, 2678, 529, 672, 4186, 236761, 28344, 611, 96691, 496, 236743, 236778, 236772, 35781, 12323, 600, 180021, 3075, 506, 808, 4199, 3773, 11922, 236829, 236858, 236751, 4559, 4403, 580, 8657, 652, 590, 4407, 607, 56928, 42793, 236858, 236751, 2263, 143357, 77742, 124196, 236881, 564, 236858, 236753, 1133, 531, 8357, 1217, 143357, 236858, 236751, 9302, 36513, 1800, 7495, 532, 127739, 699, 25898, 15067, 236761, 6542, 236764, 8091, 855, 1027, 1982, 12657, 699, 10465, 653, 67172, 600, 1451, 7298, 618, 8699, 62571, 1913, 1023, 2460, 236761, 3792, 236858, 236751, 1386, 2889, 21516, 15416, 236858, 236751, 12308, 25000, 1523, 563, 40542, 618, 496, 11825, 1534, 5527, 532, 5663, 35691, 1271, 600, 236858, 236751, 506, 2712, 529, 49639, 6972, 1023, 3399, 3548, 236888, 106, 107, 105, 4368, 107, 1018, 142231, 192617, 25252, 236787, 143357, 236858, 236751, 21174, 32237, 657, 506, 125545, 529, 4025, 48993, 532, 12263, 10170, 1236, 1018, 138, 108, 818, 808, 4199, 3773, 11922, 236829, 236858, 236751, 2072, 580, 87846, 25260, 8657, 5384, 237028, 7565, 522, 496, 236743, 236812, 236771, 236771, 236908, 13671, 38679, 2338, 236743, 236778, 236771, 236778, 236771, 237028, 32151, 143357, 236858, 236751, 9302, 4652, 36513, 618, 1800, 496, 3072, 531, 496, 4559, 11127, 532, 496, 27197, 699, 1903, 236772, 3843, 5434, 236761, 5978, 506, 168258, 529, 80487, 699, 21040, 20874, 815, 2378, 21274, 1133, 143357, 125641, 236764, 506, 808, 236794, 3177, 77742, 236829, 236858, 236751, 12606, 21577, 496, 82158, 4514, 531, 56856, 101366, 1343, 3399, 236772, 5140, 4681, 236761, 179498, 43768, 72865, 236858, 236751, 4561, 237028, 236829, 236913, 1882, 4911, 580, 28594, 7094, 237028, 39441, 55985, 1202, 531, 5138, 607, 1023, 8216, 2727, 236919, 236829, 237028, 18570, 26137, 506, 808, 30151, 236829, 236858, 236751, 25898, 22323, 529, 5527, 9262, 840, 13586, 496, 189239, 133378, 236787, 143357, 236858, 236751, 4313, 25010, 23948, 8657, 19142, 531, 506, 89970, 529, 25260, 111112, 236764, 141524, 699, 47892, 236764, 9876, 236772, 27612, 10034, 236761, 1174, 100146, 607, 4559, 15067, 840, 83866, 910, 999, 811, 236772, 2086, 236772, 28441, 236772, 712, 236919, 77389, 236764, 92573, 5205, 573, 496, 1458, 5402, 808, 2003, 236829, 506, 3399, 808, 1708, 236829, 506, 3399, 236761, 138, 108, 65944, 15416, 236858, 236751, 2246, 531, 25139, 74778, 712, 11803, 607, 8657, 36808, 237028, 236829, 236913, 7711, 861, 74778, 712, 11803, 1921, 8913, 607, 1027, 8657, 36808, 531, 2619, 53091, 6733, 236919, 236829, 237028, 2348, 507, 618, 496, 6749, 11825, 1534, 5663, 532, 5527, 35691, 236764, 496, 7824, 24209, 528, 506, 808, 30151, 236829, 236858, 236751, 919, 15559, 3671, 236761, 3763, 117924, 8657, 33624, 528, 49603, 12308, 42392, 236764, 143357, 236858, 236751, 67172, 6342, 531, 2619, 496, 9697, 7350, 1298, 7005, 18226, 13682, 3718, 55985, 236764, 74681, 496, 128061, 8881, 236761, 16961, 506, 808, 142394, 2355, 236829, 236858, 236751, 10704, 22555, 992, 3761, 49338, 236787, 886, 1944, 1960, 8123, 8601, 236764, 808, 236913, 1882, 5210, 506, 6647, 236764, 840, 1015, 236858, 236751, 93145, 506, 3273, 9377, 236829, 237028, 236746, 32272, 600, 3399, 3717, 236772, 495, 7087, 29624, 236761, 3143, 27892, 236764, 33481, 607, 15416, 236858, 236751, 8330, 10040, 236764, 2939, 143357, 236858, 236751, 5274, 618, 496, 3435, 79768, 573, 21274, 33350, 12985, 531, 7002, 16347, 52655, 128169, 607, 2777, 16960, 236761, 138, 108, 1018, 55652, 10635, 30333, 573, 12209, 53121, 138, 107, 236772, 808, 236913, 3910, 740, 143357, 236858, 236751, 2028, 7535, 531, 28594, 7094, 9935, 2180, 82719, 1440, 236772, 6061, 4652, 12606, 9377, 236829, 568, 128345, 684, 43768, 72865, 236858, 236751, 14993, 236768, 138, 107, 236772, 808, 236913, 3689, 17205, 2473, 4559, 80487, 3449, 699, 143357, 236858, 236751, 7671, 531, 8913, 12308, 532, 8657, 10034, 9377, 236829, 568, 161347, 524, 2101, 21516, 15416, 236858, 236751, 8485, 236768, 138, 107, 236772, 808, 236913, 3910, 776, 692, 2016, 5210, 528, 3399, 236772, 991, 3797, 1056, 10465, 9891, 164545, 9377, 236829, 568, 13632, 524, 528, 506, 36599, 1960, 8123, 236858, 236751, 4561, 236768, 138, 108, 2094, 18844, 1451, 1601, 822, 9998, 3371, 143357, 236858, 236751, 3925, 531, 25898, 10022, 8991, 1651, 54814, 506, 12309, 528, 120904, 3246, 9871, 236761, 21284, 611, 1133, 531, 59638, 1027, 3336, 653, 1138, 3530, 1262, 3298, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 993, 236888, 564, 236789, 236757, 47545, 236764, 532, 564, 236789, 236757, 35447, 496, 3399, 8699, 657, 1023, 2263, 3988, 1590, 528, 143357, 1003, 10022, 2352, 18506, 580, 25260, 21274, 236761, 564, 236858, 236753, 2765, 531, 1502, 684, 35329, 4803, 10022, 12606, 699, 808, 818, 1799, 3773, 11922, 236829, 531, 9385, 19317, 573, 1023, 12309, 236761, 28344, 611, 33205, 506, 6524, 1806, 10308, 580, 672, 10562, 699, 1091, 236881, 564, 1586, 910, 8646, 13761, 6412, 13868, 236764, 532, 625, 1093, 1601, 786, 5528, 506, 2460, 2101, 1873, 1262, 532, 8511, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 138827, 114494, 67296, 501, 59988, 49598, 236764, 13476, 11922, 13768, 56217, 827, 623, 3955, 1083, 623, 4199, 3773, 11922, 10022, 2434, 7248, 53496, 35163, 6224, 3008, 749, 236761, 236773, 236761, 21065, 9383, 8721, 236764, 607, 143357, 236789, 236751, 74778, 7969, 13668, 35995, 5013, 699, 236743, 236778, 236771, 236778, 236812, 236789, 236751, 3423, 236772, 28384, 12978, 146023, 49256, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 166601, 236772, 44215, 827, 623, 6386, 1083, 623, 72464, 15416, 236764, 32319, 7621, 60361, 23179, 3714, 3250, 1083, 623, 46640, 140165, 40121, 236787, 2088, 31079, 129778, 9354, 108333, 38104, 12069, 5829, 827, 623, 3955, 1083, 623, 9818, 2748, 51972, 10373, 728, 236789, 236751, 6595, 4882, 82103, 2203, 236764, 9722, 31172, 742, 11298, 573, 143357, 236789, 236751, 16038, 45694, 35691, 17358, 49256, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236770, 236770, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 163093, 236772, 4925, 236772, 44215, 827, 623, 6386, 1083, 623, 23549, 100122, 1250, 236764, 18592, 23566, 23179, 3714, 3250, 1083, 623, 110553, 132421, 236787, 32319, 32180, 79913, 5641, 59988, 6863, 27923, 827, 623, 3955, 1083, 623, 32660, 554, 1280, 2072, 21577, 236743, 236812, 236771, 236771, 236908, 13671, 8110, 528, 1799, 3773, 236789, 236751, 25260, 20874, 2338, 236743, 236778, 236771, 236778, 236771, 236764, 607, 143357, 236789, 236751, 51179, 12428, 8812, 9302, 4652, 36513, 49256, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 101436, 236772, 162169, 827, 623, 6386, 1083, 623, 192805, 50439, 236764, 7449, 833, 32319, 25938, 1604, 623, 6265, 1083, 623, 818, 1799, 3773, 11922, 827, 623, 1643, 774, 236779, 1708, 1083, 623, 99078, 18506, 580, 25260, 8904, 827, 623, 4243, 3986, 1111, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 1806, 1799, 3773, 11922, 10308, 580, 10022, 18506, 7798, 531, 25260, 8904, 1133, 143357, 236787, 108, 236770, 236761, 5213, 236775, 138827, 114494, 67296, 501, 59988, 49598, 236775, 1018, 138, 107, 139, 236829, 2292, 30598, 15416, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 126115, 36477, 35163, 6224, 532, 12978, 19902, 13682, 21574, 74778, 7969, 528, 143357, 532, 1032, 21065, 25260, 21274, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 166601, 236772, 44215, 236768, 108, 236778, 236761, 5213, 236775, 46640, 140165, 40121, 236787, 10373, 728, 236789, 236751, 21887, 47179, 1257, 21942, 236775, 1018, 138, 107, 139, 236829, 2292, 6822, 100122, 1250, 568, 27393, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 20647, 2985, 31172, 742, 11298, 573, 25260, 35691, 236764, 2440, 22790, 24037, 8403, 143357, 1451, 8846, 573, 1061, 45694, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 163093, 236772, 4925, 236772, 44215, 236768, 108, 236800, 236761, 5213, 236775, 110553, 132421, 236787, 32319, 32180, 79913, 5641, 59988, 6863, 27923, 236775, 1018, 138, 107, 139, 236829, 2292, 71918, 50439, 568, 27393, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 139, 1683, 61151, 87846, 8657, 5384, 528, 25260, 20874, 532, 2263, 19898, 1133, 143357, 236858, 236751, 9302, 4652, 36513, 531, 3856, 10465, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 99074, 236761, 854, 236786, 1364, 69695, 236772, 101436, 236772, 162169, 236768, 108, 9208, 10308, 2847, 25558, 1262, 580, 5663, 236764, 5527, 236764, 532, 34066, 8991, 13668, 25260, 21274, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 188999, 2307, 8699, 3298, 653, 21558, 2263, 11848, 6950, 528, 506, 9097, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 1239, 44027, 45654, 236888, 669, 10373, 728, 29140, 2028, 12956, 1041, 7068, 237028, 14070, 496, 4011, 2591, 531, 11327, 573, 1023, 45694, 236761, 28344, 611, 2426, 808, 818, 143357, 77742, 236829, 2148, 236881, 564, 236858, 236753, 2765, 531, 4071, 236772, 30449, 2263, 12606, 529, 143357, 236858, 236751, 8657, 19898, 6950, 528, 506, 4168, 4676, 236761, 3792, 236858, 236751, 1460, 768, 901, 236858, 560, 40837, 10465, 653, 5148, 67172, 5467, 1003, 1724, 9302, 4652, 36513, 236761, 564, 236858, 236753, 1133, 531, 8357, 3399, 27892, 528, 1023, 8699, 236764, 711, 1164, 4559, 32557, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236794, 3177, 76751, 163065, 799, 580, 59988, 21174, 176944, 827, 623, 6386, 1083, 623, 1829, 2032, 42793, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 13149, 27892, 8357, 9726, 12047, 531, 143357, 236789, 236751, 10037, 4652, 236772, 58205, 2028, 573, 18226, 8657, 236764, 607, 22555, 699, 66158, 236764, 1944, 1960, 8170, 236764, 532, 19312, 67172, 10498, 623, 3955, 1083, 623, 902, 496, 21064, 5148, 11967, 5395, 1774, 9863, 236764, 143357, 77742, 32108, 17755, 12801, 32557, 580, 506, 5148, 236789, 236751, 6195, 3399, 236772, 5140, 8657, 7444, 236761, 179498, 43768, 72865, 8977, 10928, 1003, 101366, 236787, 756, 1882, 4911, 580, 28594, 7094, 753, 1239, 55985, 1202, 531, 5138, 607, 1023, 8216, 2727, 7085, 28641, 236764, 11321, 47405, 21516, 15416, 35630, 12308, 12434, 236787, 756, 7711, 861, 74778, 712, 11803, 1921, 8913, 607, 1027, 8657, 36808, 531, 2619, 53091, 6733, 7085, 669, 4676, 5132, 3962, 1982, 10704, 12657, 532, 1806, 47405, 11461, 1003, 4652, 45759, 11298, 10498, 623, 21052, 1083, 3714, 19112, 1083, 11058, 66518, 29140, 827, 623, 101436, 827, 623, 37939, 15154, 14255, 623, 6265, 1083, 623, 824, 7329, 1863, 2355, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4764, 236779, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2263, 12606, 699, 808, 818, 143357, 77742, 236829, 1003, 143357, 236789, 236751, 25260, 8657, 19898, 236787, 108, 1018, 236775, 236794, 3177, 76751, 163065, 799, 580, 59988, 21174, 176944, 236775, 1018, 138, 107, 236829, 2292, 56928, 42793, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 12016, 138, 107, 2094, 4676, 41080, 1982, 3399, 27892, 1003, 506, 5148, 236789, 236751, 861, 4652, 236772, 58205, 8657, 2028, 236764, 2440, 236787, 138, 107, 236772, 5213, 112181, 72865, 125546, 496, 79539, 236764, 31470, 101366, 10928, 236787, 165996, 1882, 4911, 580, 28594, 7094, 1271, 1239, 55985, 1202, 531, 5138, 607, 1023, 8216, 2727, 1781, 236829, 138, 107, 236772, 5213, 65944, 15416, 125546, 614, 11321, 47405, 236764, 83230, 573, 12308, 25000, 236787, 165996, 7711, 861, 74778, 712, 11803, 1921, 8913, 607, 8657, 36808, 531, 2619, 53091, 6733, 1781, 236829, 138, 108, 818, 6347, 5132, 3962, 10704, 12657, 532, 1806, 47405, 11461, 1003, 41346, 5527, 532, 5663, 35691, 236761, 5978, 951, 1982, 3205, 563, 2487, 236764, 564, 740, 2847, 3530, 124196, 653, 49573, 2307, 22888, 568, 236744, 236761, 236759, 1126, 101366, 236764, 3399, 5210, 236764, 8330, 12434, 236768, 531, 31650, 822, 8699, 236761, 21284, 611, 1133, 19276, 3671, 529, 1239, 2263, 32557, 236881, 106, 107, 105, 2364, 107, 54133, 236888, 3792, 236858, 236751, 30386, 19276, 1131, 506, 101366, 7275, 1271, 43768, 72865, 236858, 236751, 14993, 1003, 28594, 7094, 2126, 104811, 506, 3246, 2678, 529, 672, 4186, 236761, 28344, 611, 96691, 496, 236743, 236778, 236772, 35781, 12323, 600, 180021, 3075, 506, 808, 4199, 3773, 11922, 236829, 236858, 236751, 4559, 4403, 580, 8657, 652, 590, 4407, 607, 56928, 42793, 236858, 236751, 2263, 143357, 77742, 124196, 236881, 564, 236858, 236753, 1133, 531, 8357, 1217, 143357, 236858, 236751, 9302, 36513, 1800, 7495, 532, 127739, 699, 25898, 15067, 236761, 6542, 236764, 8091, 855, 1027, 1982, 12657, 699, 10465, 653, 67172, 600, 1451, 7298, 618, 8699, 62571, 1913, 1023, 2460, 236761, 3792, 236858, 236751, 1386, 2889, 21516, 15416, 236858, 236751, 12308, 25000, 1523, 563, 40542, 618, 496, 11825, 1534, 5527, 532, 5663, 35691, 1271, 600, 236858, 236751, 506, 2712, 529, 49639, 6972, 1023, 3399, 3548, 236888, 106, 107, 105, 4368, 107, 1018, 142231, 192617, 25252, 236787, 143357, 236858, 236751, 21174, 32237, 657, 506, 125545, 529, 4025, 48993, 532, 12263, 10170, 1236, 1018, 138, 108, 818, 808, 4199, 3773, 11922, 236829, 236858, 236751, 2072, 580, 87846, 25260, 8657, 5384, 237028, 7565, 522, 496, 236743, 236812, 236771, 236771, 236908, 13671, 38679, 2338, 236743, 236778, 236771, 236778, 236771, 237028, 32151, 143357, 236858, 236751, 9302, 4652, 36513, 618, 1800, 496, 3072, 531, 496, 4559, 11127, 532, 496, 27197, 699, 1903, 236772, 3843, 5434, 236761, 5978, 506, 168258, 529, 80487, 699, 21040, 20874, 815, 2378, 21274, 1133, 143357, 125641, 236764, 506, 808, 236794, 3177, 77742, 236829, 236858, 236751, 12606, 21577, 496, 82158, 4514, 531, 56856, 101366, 1343, 3399, 236772, 5140, 4681, 236761, 179498, 43768, 72865, 236858, 236751, 4561, 237028, 236829, 236913, 1882, 4911, 580, 28594, 7094, 237028, 39441, 55985, 1202, 531, 5138, 607, 1023, 8216, 2727, 236919, 236829, 237028, 18570, 26137, 506, 808, 30151, 236829, 236858, 236751, 25898, 22323, 529, 5527, 9262, 840, 13586, 496, 189239, 133378, 236787, 143357, 236858, 236751, 4313, 25010, 23948, 8657, 19142, 531, 506, 89970, 529, 25260, 111112, 236764, 141524, 699, 47892, 236764, 9876, 236772, 27612, 10034, 236761, 1174, 100146, 607, 4559, 15067, 840, 83866, 910, 999, 811, 236772, 2086, 236772, 28441, 236772, 712, 236919, 77389, 236764, 92573, 5205, 573, 496, 1458, 5402, 808, 2003, 236829, 506, 3399, 808, 1708, 236829, 506, 3399, 236761, 138, 108, 65944, 15416, 236858, 236751, 2246, 531, 25139, 74778, 712, 11803, 607, 8657, 36808, 237028, 236829, 236913, 7711, 861, 74778, 712, 11803, 1921, 8913, 607, 1027, 8657, 36808, 531, 2619, 53091, 6733, 236919, 236829, 237028, 2348, 507, 618, 496, 6749, 11825, 1534, 5663, 532, 5527, 35691, 236764, 496, 7824, 24209, 528, 506, 808, 30151, 236829, 236858, 236751, 919, 15559, 3671, 236761, 3763, 117924, 8657, 33624, 528, 49603, 12308, 42392, 236764, 143357, 236858, 236751, 67172, 6342, 531, 2619, 496, 9697, 7350, 1298, 7005, 18226, 13682, 3718, 55985, 236764, 74681, 496, 128061, 8881, 236761, 16961, 506, 808, 142394, 2355, 236829, 236858, 236751, 10704, 22555, 992, 3761, 49338, 236787, 886, 1944, 1960, 8123, 8601, 236764, 808, 236913, 1882, 5210, 506, 6647, 236764, 840, 1015, 236858, 236751, 93145, 506, 3273, 9377, 236829, 237028, 236746, 32272, 600, 3399, 3717, 236772, 495, 7087, 29624, 236761, 3143, 27892, 236764, 33481, 607, 15416, 236858, 236751, 8330, 10040, 236764, 2939, 143357, 236858, 236751, 5274, 618, 496, 3435, 79768, 573, 21274, 33350, 12985, 531, 7002, 16347, 52655, 128169, 607, 2777, 16960, 236761, 138, 108, 1018, 55652, 10635, 30333, 573, 12209, 53121, 138, 107, 236772, 808, 236913, 3910, 740, 143357, 236858, 236751, 2028, 7535, 531, 28594, 7094, 9935, 2180, 82719, 1440, 236772, 6061, 4652, 12606, 9377, 236829, 568, 128345, 684, 43768, 72865, 236858, 236751, 14993, 236768, 138, 107, 236772, 808, 236913, 3689, 17205, 2473, 4559, 80487, 3449, 699, 143357, 236858, 236751, 7671, 531, 8913, 12308, 532, 8657, 10034, 9377, 236829, 568, 161347, 524, 2101, 21516, 15416, 236858, 236751, 8485, 236768, 138, 107, 236772, 808, 236913, 3910, 776, 692, 2016, 5210, 528, 3399, 236772, 991, 3797, 1056, 10465, 9891, 164545, 9377, 236829, 568, 13632, 524, 528, 506, 36599, 1960, 8123, 236858, 236751, 4561, 236768, 138, 108, 2094, 18844, 1451, 1601, 822, 9998, 3371, 143357, 236858, 236751, 3925, 531, 25898, 10022, 8991, 1651, 54814, 506, 12309, 528, 120904, 3246, 9871, 236761, 21284, 611, 1133, 531, 59638, 1027, 3336, 653, 1138, 3530, 1262, 3298, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 506, 2862, 990, 3605, 1262, 573, 9265, 568, 5352, 7627, 236768, 1024, 506, 3068, 236743, 236810, 2668, 532, 2307, 4668, 4749, 528, 5422, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 33205, 506, 15633, 1938, 618, 7293, 529, 506, 2487, 6436, 2847, 2862, 990, 3605, 1262, 573, 506, 3068, 236743, 236810, 2668, 653, 4668, 2460, 16074, 15858, 236761, 669, 3847, 6436, 1186, 1894, 236787, 107, 236772, 14040, 2862, 3385, 568, 14973, 9707, 236768, 107, 236772, 18245, 2708, 2862, 3385, 568, 14973, 236779, 828, 236779, 32320, 236779, 976, 236768, 107, 236772, 236743, 236770, 236771, 236772, 3704, 42688, 2862, 4083, 568, 828, 236779, 236770, 236771, 236779, 3704, 236779, 124977, 236779, 33255, 586, 236779, 62938, 236768, 107, 236772, 51959, 5058, 1262, 568, 2234, 236779, 712, 236779, 206410, 236768, 107, 236772, 72280, 12562, 4083, 568, 11622, 236779, 31408, 236779, 18308, 236768, 108, 38786, 611, 1133, 786, 531, 1161, 1027, 529, 1239, 2487, 6436, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 506, 2862, 990, 3605, 1262, 573, 9265, 568, 5352, 7627, 236768, 1024, 506, 3068, 236743, 236810, 2668, 532, 2307, 4668, 4749, 528, 5422, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 33205, 506, 15633, 1938, 618, 7293, 529, 506, 2487, 6436, 2847, 2862, 990, 3605, 1262, 573, 506, 3068, 236743, 236810, 2668, 653, 4668, 2460, 16074, 15858, 236761, 669, 3847, 6436, 1186, 1894, 236787, 107, 236772, 14040, 2862, 3385, 568, 14973, 9707, 236768, 107, 236772, 18245, 2708, 2862, 3385, 568, 14973, 236779, 828, 236779, 32320, 236779, 976, 236768, 107, 236772, 236743, 236770, 236771, 236772, 3704, 42688, 2862, 4083, 568, 828, 236779, 236770, 236771, 236779, 3704, 236779, 124977, 236779, 33255, 586, 236779, 62938, 236768, 107, 236772, 51959, 5058, 1262, 568, 2234, 236779, 712, 236779, 206410, 236768, 107, 236772, 72280, 12562, 4083, 568, 11622, 236779, 31408, 236779, 18308, 236768, 108, 38786, 611, 1133, 786, 531, 1161, 1027, 529, 1239, 2487, 6436, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 1041, 16038, 7946, 531, 56518, 236789, 236751, 168731, 2891, 684, 10685, 8582, 10103, 1003, 2263, 32468, 236761, 3199, 611, 33205, 496, 1982, 6463, 3205, 573, 496, 8582, 2948, 58442, 168731, 27818, 532, 34098, 993, 236881, 564, 236789, 859, 1161, 625, 531, 4024, 20756, 607, 4690, 1680, 692, 817, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 3530, 8582, 2948, 10739, 611, 236789, 236753, 1133, 531, 6463, 236761, 28344, 611, 4024, 506, 3205, 531, 506, 168731, 27818, 236786, 14801, 2897, 2948, 611, 1765, 236881, 9920, 3847, 236764, 564, 236789, 859, 8430, 506, 1982, 6463, 3205, 573, 611, 236761, 108, 12703, 3927, 3755, 611, 2473, 1161, 580, 8582, 236787, 623, 187656, 2503, 168731, 17694, 14029, 10990, 236775, 653, 623, 147307, 23196, 17694, 2897, 70731, 236775, 106, 107, 105, 2364, 107, 236777, 1765, 496, 2948, 21250, 623, 187656, 2503, 168731, 17694, 236787, 562, 116292, 17713, 14935, 11282, 77067, 236775, 607, 506, 10739, 4560, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236761, 28344, 611, 8430, 506, 1982, 6463, 3205, 573, 672, 2948, 236881, 564, 236858, 236753, 1133, 531, 5383, 625, 573, 35726, 24099, 1913, 1041, 7946, 6995, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 187656, 2503, 168731, 17694, 236787, 562, 116292, 17713, 14935, 11282, 77067, 827, 623, 12293, 236779, 10540, 236779, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 10540, 236761, 2720, 236812, 827, 623, 19852, 236779, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 19852, 236761, 4034, 827, 623, 10540, 236779, 547, 1083, 623, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1982, 9851, 573, 822, 56518, 168731, 17694, 2948, 236787, 108, 246272, 5213, 10176, 11994, 15993, 66515, 870, 18086, 10297, 5457, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 10540, 236761, 2720, 236812, 236768, 138, 107, 249560, 238178, 5213, 61578, 52973, 66515, 870, 2039, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 19852, 236761, 4034, 236768, 108, 3048, 740, 6463, 506, 2948, 573, 35726, 24099, 653, 4024, 506, 30658, 607, 822, 4301, 2299, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8159, 919, 5405, 573, 822, 7946, 6995, 236888, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 11327, 919, 1003, 56518, 236858, 236751, 168731, 9766, 532, 27893, 22249, 236761, 28344, 611, 1586, 496, 8582, 2948, 10317, 580, 506, 68544, 9339, 14595, 7901, 653, 506, 168731, 14369, 236858, 9766, 993, 236881, 6542, 236764, 768, 993, 236858, 236751, 496, 1595, 531, 18201, 4876, 699, 506, 2948, 1680, 49995, 236764, 600, 1093, 1601, 786, 4351, 506, 1791, 886, 531, 4024, 607, 1041, 4690, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 8430, 1800, 2948, 532, 30658, 9851, 699, 8582, 10103, 3622, 611, 735, 3530, 60973, 236761, 1701, 8582, 110688, 236764, 692, 740, 1161, 506, 30658, 3205, 531, 18201, 506, 2948, 3004, 1680, 49995, 236761, 21284, 611, 1133, 531, 4024, 496, 3530, 8582, 10739, 573, 3477, 236787, 108, 236770, 236761, 68544, 9339, 14595, 7901, 4469, 2948, 107, 236778, 236761, 168731, 14369, 236789, 2436, 146342, 107, 236800, 236761, 134937, 22249, 528, 56518, 5796, 108, 4420, 611, 1586, 496, 2948, 611, 1133, 580, 8582, 236764, 1164, 4024, 506, 2587, 10739, 532, 564, 236789, 859, 2847, 1800, 506, 1982, 6463, 3205, 532, 496, 30658, 18201, 2471, 236761, 1174, 795, 1531, 611, 3540, 506, 3004, 1680, 32271, 837, 5906, 531, 4024, 607, 4690, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 1041, 16038, 7946, 531, 56518, 236789, 236751, 168731, 2891, 684, 10685, 8582, 10103, 1003, 2263, 32468, 236761, 3199, 611, 33205, 496, 1982, 6463, 3205, 573, 496, 8582, 2948, 58442, 168731, 27818, 532, 34098, 993, 236881, 564, 236789, 859, 1161, 625, 531, 4024, 20756, 607, 4690, 1680, 692, 817, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 3530, 8582, 2948, 10739, 611, 236789, 236753, 1133, 531, 6463, 236761, 28344, 611, 4024, 506, 3205, 531, 506, 168731, 27818, 236786, 14801, 2897, 2948, 611, 1765, 236881, 9920, 3847, 236764, 564, 236789, 859, 8430, 506, 1982, 6463, 3205, 573, 611, 236761, 108, 12703, 3927, 3755, 611, 2473, 1161, 580, 8582, 236787, 623, 187656, 2503, 168731, 17694, 14029, 10990, 236775, 653, 623, 147307, 23196, 17694, 2897, 70731, 236775, 106, 107, 105, 2364, 107, 236777, 1765, 496, 2948, 21250, 623, 187656, 2503, 168731, 17694, 236787, 562, 116292, 17713, 14935, 11282, 77067, 236775, 607, 506, 10739, 4560, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236761, 28344, 611, 8430, 506, 1982, 6463, 3205, 573, 672, 2948, 236881, 564, 236858, 236753, 1133, 531, 5383, 625, 573, 35726, 24099, 1913, 1041, 7946, 6995, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 187656, 2503, 168731, 17694, 236787, 562, 116292, 17713, 14935, 11282, 77067, 827, 623, 12293, 236779, 10540, 236779, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 10540, 236761, 2720, 236812, 827, 623, 19852, 236779, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 19852, 236761, 4034, 827, 623, 10540, 236779, 547, 1083, 623, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1982, 9851, 573, 822, 56518, 168731, 17694, 2948, 236787, 108, 246272, 5213, 10176, 11994, 15993, 66515, 870, 18086, 10297, 5457, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 10540, 236761, 2720, 236812, 236768, 138, 107, 249560, 238178, 5213, 61578, 52973, 66515, 870, 2039, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 22542, 236786, 6597, 236832, 236796, 64342, 236800, 236744, 236770, 236874, 236812, 236786, 19852, 236761, 4034, 236768, 108, 3048, 740, 6463, 506, 2948, 573, 35726, 24099, 653, 4024, 506, 30658, 607, 822, 4301, 2299, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8159, 919, 5405, 573, 822, 7946, 6995, 236888, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 11327, 919, 1003, 56518, 236858, 236751, 168731, 9766, 532, 27893, 22249, 236761, 28344, 611, 1586, 496, 8582, 2948, 10317, 580, 506, 68544, 9339, 14595, 7901, 653, 506, 168731, 14369, 236858, 9766, 993, 236881, 6542, 236764, 768, 993, 236858, 236751, 496, 1595, 531, 18201, 4876, 699, 506, 2948, 1680, 49995, 236764, 600, 1093, 1601, 786, 4351, 506, 1791, 886, 531, 4024, 607, 1041, 4690, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 8430, 1800, 2948, 532, 30658, 9851, 699, 8582, 10103, 3622, 611, 735, 3530, 60973, 236761, 1701, 8582, 110688, 236764, 692, 740, 1161, 506, 30658, 3205, 531, 18201, 506, 2948, 3004, 1680, 49995, 236761, 21284, 611, 1133, 531, 4024, 496, 3530, 8582, 10739, 573, 3477, 236787, 108, 236770, 236761, 68544, 9339, 14595, 7901, 4469, 2948, 107, 236778, 236761, 168731, 14369, 236789, 2436, 146342, 107, 236800, 236761, 134937, 22249, 528, 56518, 5796, 108, 4420, 611, 1586, 496, 2948, 611, 1133, 580, 8582, 236764, 1164, 4024, 506, 2587, 10739, 532, 564, 236789, 859, 2847, 1800, 506, 1982, 6463, 3205, 532, 496, 30658, 18201, 2471, 236761, 1174, 795, 1531, 611, 3540, 506, 3004, 1680, 32271, 837, 5906, 531, 4024, 607, 4690, 236761, 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, 506, 1791, 187557, 30336, 15003, 573, 1041, 7972, 236761, 11662, 1051, 564, 1456, 756, 7320, 20305, 36563, 236789, 840, 564, 236789, 236753, 1133, 531, 2056, 2613, 861, 236761, 28344, 611, 3927, 9593, 573, 187557, 30336, 10338, 37924, 600, 659, 1932, 236772, 38109, 7413, 532, 735, 657, 3198, 236743, 236770, 236771, 236771, 15003, 810, 3294, 236881, 564, 236789, 236757, 6412, 7467, 528, 21215, 600, 659, 5933, 236772, 36954, 532, 9273, 573, 17850, 93952, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 753, 7607, 26809, 7413, 236764, 236743, 236770, 236771, 236771, 236862, 81050, 236764, 31203, 187127, 236764, 17850, 32319, 180054, 827, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 2209, 583, 82321, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236770, 236778, 236800, 236812, 236810, 236825, 23179, 3714, 3250, 1083, 623, 41210, 10958, 19871, 81050, 753, 31203, 187127, 17850, 31948, 96294, 81050, 236764, 7607, 26809, 7413, 236764, 236743, 236770, 236771, 236771, 81050, 13079, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236810, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 16904, 236743, 236810, 2378, 528, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 115232, 236772, 222203, 236772, 1988, 13040, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236874, 236832, 236828, 236819, 236771, 236770, 236778, 23179, 3714, 3250, 1083, 623, 7084, 26809, 7413, 58221, 30551, 96294, 81050, 753, 189593, 82321, 84888, 236764, 236743, 236770, 236810, 236771, 81050, 236764, 2376, 656, 187127, 573, 15632, 136240, 1090, 827, 623, 9707, 1083, 6610, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 7084, 236772, 61436, 7413, 236772, 167211, 236772, 149829, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236953, 236800, 236812, 236810, 236825, 236832, 236828, 25938, 1604, 623, 2305, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 187557, 30336, 10338, 3835, 699, 9593, 600, 2874, 822, 13138, 568, 5265, 236772, 38109, 7413, 236764, 57846, 236770, 236771, 236771, 15003, 236786, 2658, 236764, 5933, 236772, 36954, 236764, 532, 17850, 10022, 86338, 1473, 108, 236770, 236761, 5213, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236828, 138, 107, 139, 236772, 5213, 9473, 66515, 39799, 26777, 618, 17850, 10022, 236772, 123176, 236764, 10293, 236764, 532, 5933, 236772, 36954, 236761, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 2209, 583, 82321, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236770, 236778, 236800, 236812, 236810, 236825, 236768, 108, 236778, 236761, 5213, 41210, 10958, 19871, 81050, 753, 17850, 31948, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236832, 138, 107, 139, 236772, 5213, 9473, 66515, 61521, 236772, 41889, 236764, 5933, 236772, 36954, 187557, 6236, 236761, 19159, 2862, 568, 8960, 236743, 236810, 2378, 769, 138, 107, 139, 236772, 5213, 51164, 66515, 10522, 236743, 236810, 2378, 528, 2862, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 115232, 236772, 222203, 236772, 1988, 13040, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236874, 236832, 236828, 236819, 236771, 236770, 236778, 236768, 108, 236800, 236761, 5213, 7084, 26809, 7413, 58221, 30551, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 5213, 9473, 66515, 2376, 656, 236772, 36954, 573, 16962, 93952, 568, 22239, 17850, 779, 236743, 236770, 236810, 236771, 15003, 236786, 2658, 236761, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 7084, 236772, 61436, 7413, 236772, 167211, 236772, 149829, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236953, 236800, 236812, 236810, 236825, 236832, 236828, 236768, 108, 1018, 211199, 66515, 669, 5213, 202880, 56846, 1018, 15003, 659, 25010, 36443, 573, 17850, 93952, 236764, 1651, 5213, 100320, 31948, 1018, 5469, 496, 61521, 236772, 15396, 187557, 236761, 669, 5213, 167211, 30551, 1018, 563, 496, 7715, 236772, 18865, 5086, 607, 123476, 8047, 236761, 7179, 9593, 573, 4767, 4889, 1133, 59889, 6224, 653, 5602, 10595, 1680, 21186, 236888, 178829, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 5602, 10595, 573, 506, 28917, 56846, 37330, 189593, 82321, 96294, 81050, 236881, 564, 236858, 236753, 1133, 531, 1281, 768, 1027, 79802, 10916, 6950, 2630, 6730, 1091, 528, 17850, 653, 8047, 531, 3364, 12818, 1133, 123476, 236761, 6542, 236764, 659, 993, 1027, 1032, 187557, 21215, 528, 506, 3927, 2536, 600, 2473, 577, 3361, 840, 19310, 236858, 236745, 5012, 528, 506, 4068, 1694, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 157061, 10293, 187557, 30336, 15003, 13342, 121714, 236764, 5933, 236772, 36954, 6485, 7436, 573, 2033, 26318, 236761, 7607, 236772, 38109, 7413, 236764, 1908, 236772, 227382, 236764, 532, 9273, 573, 72304, 20874, 236743, 236800, 236772, 236819, 10498, 623, 79205, 236779, 134878, 1083, 3714, 23356, 236779, 2861, 1083, 623, 236778, 236810, 15003, 810, 23370, 827, 623, 14081, 236779, 2084, 1083, 623, 2704, 166422, 827, 623, 230023, 236779, 14356, 1083, 623, 236832, 236810, 236772, 236828, 236810, 2668, 827, 623, 114555, 236779, 82033, 1083, 11058, 39403, 2376, 656, 827, 623, 173405, 22022, 93721, 152254, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236812, 236828, 236778, 236764, 623, 87622, 236779, 73769, 236779, 66850, 1083, 78493, 7125, 1083, 623, 100320, 827, 623, 13486, 1083, 623, 1214, 34958, 528, 17850, 5312, 5387, 236888, 2301, 123476, 4342, 9785, 52472, 3439, 236761, 129088, 236743, 236778, 236771, 236862, 16931, 529, 29979, 810, 3732, 221476, 3714, 7125, 1083, 623, 127387, 827, 623, 13486, 1083, 623, 72294, 15003, 573, 236743, 236800, 20971, 236761, 187127, 531, 5226, 123476, 600, 19375, 38477, 16217, 6485, 1781, 200808, 623, 56905, 1083, 623, 902, 13827, 827, 623, 32596, 236779, 17870, 1083, 78493, 3250, 1083, 623, 71878, 29393, 37330, 189593, 82321, 96294, 81050, 827, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236810, 236771, 827, 623, 7777, 1083, 623, 66020, 236772, 176270, 6236, 607, 20987, 8047, 531, 5627, 225950, 71438, 236761, 125936, 236743, 236770, 236772, 236778, 16109, 16391, 4011, 573, 24032, 221476, 3714, 3250, 1083, 623, 59026, 70093, 46222, 189593, 82321, 96294, 81050, 827, 623, 9707, 1083, 6610, 236770, 236800, 236761, 236778, 236810, 827, 623, 7777, 1083, 623, 25531, 236764, 97609, 18434, 607, 3756, 8047, 531, 30336, 37760, 10625, 236761, 99423, 152416, 840, 6112, 23904, 528, 15891, 93952, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 3671, 529, 506, 5213, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 1018, 532, 4596, 3835, 236787, 108, 10354, 5213, 202880, 56846, 31727, 236787, 17850, 833, 31203, 55732, 1018, 107, 236772, 5213, 100320, 21942, 66515, 138, 107, 138, 114895, 3540, 699, 17850, 236787, 138, 107, 138, 71510, 1214, 34958, 528, 17850, 5312, 5387, 236888, 2301, 123476, 4342, 9785, 52472, 3439, 236761, 129088, 236743, 236778, 236771, 236862, 16931, 529, 29979, 810, 3732, 1781, 236829, 138, 108, 236772, 5213, 174287, 55732, 66515, 138, 107, 138, 114895, 3540, 699, 25814, 236787, 138, 107, 138, 71510, 72294, 15003, 573, 236743, 236800, 20971, 236761, 187127, 531, 5226, 123476, 600, 19375, 38477, 16217, 6485, 1781, 236829, 138, 108, 138, 1018, 58972, 187779, 66515, 138, 107, 138, 178538, 8047, 531, 5213, 39403, 2376, 656, 1018, 532, 5213, 173405, 22022, 93721, 125546, 607, 10293, 22902, 532, 1908, 236772, 227382, 4981, 236761, 108, 7243, 108, 10354, 5213, 3503, 3725, 906, 236758, 5710, 1018, 138, 107, 818, 1698, 6492, 5022, 5213, 236775, 236778, 236810, 15003, 810, 23370, 236775, 125546, 47341, 607, 506, 4068, 3927, 1354, 28277, 5213, 236775, 236770, 236771, 236771, 236862, 15003, 236775, 84750, 1174, 12205, 496, 2653, 3165, 528, 506, 3927, 2536, 653, 496, 18572, 529, 506, 1698, 236761, 1599, 1149, 1461, 531, 16807, 672, 5467, 580, 9593, 653, 3662, 506, 20925, 573, 65977, 236761, 108, 7243, 108, 10354, 5213, 49077, 189593, 82321, 200914, 1018, 138, 107, 818, 1698, 3104, 15852, 1156, 3361, 3835, 236764, 3635, 901, 1335, 528, 2307, 13138, 236787, 138, 108, 236770, 236761, 5213, 71878, 29393, 37330, 189593, 82321, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 174287, 55732, 66515, 23764, 225950, 71438, 138, 107, 139, 236772, 5213, 99078, 88379, 2109, 66515, 28868, 236772, 176270, 568, 46511, 573, 20532, 6730, 18046, 236768, 138, 107, 139, 236772, 5213, 37637, 5135, 66515, 2301, 4928, 529, 17850, 10022, 86338, 653, 1494, 10338, 1527, 236761, 138, 108, 236778, 236761, 5213, 59026, 70093, 46222, 189593, 82321, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236800, 236761, 236778, 236810, 138, 107, 139, 236772, 5213, 174287, 55732, 66515, 96294, 37760, 10625, 138, 107, 139, 236772, 5213, 99078, 88379, 2109, 66515, 14105, 93952, 568, 1933, 7436, 573, 17850, 236768, 138, 107, 139, 236772, 5213, 37637, 5135, 66515, 99423, 152416, 532, 563, 2344, 28983, 531, 16962, 93952, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236772, 5213, 202880, 56846, 66515, 18565, 506, 10338, 236772, 2861, 59725, 236764, 506, 17850, 236772, 15396, 2630, 532, 123476, 8047, 1386, 625, 496, 3188, 11054, 236761, 64063, 506, 10338, 1527, 607, 506, 20925, 653, 2426, 573, 496, 623, 236770, 236771, 236771, 236862, 15003, 236775, 18572, 236761, 138, 107, 236772, 5213, 213859, 66515, 40436, 17587, 29393, 6271, 77179, 46222, 6340, 20239, 822, 13138, 568, 100320, 10022, 236764, 57846, 236770, 236771, 236771, 15003, 769, 14066, 204981, 506, 3927, 607, 20843, 18774, 568, 236744, 236761, 236759, 1126, 623, 236770, 236771, 236771, 15003, 236775, 900, 623, 100320, 1373, 653, 22260, 37358, 10338, 112007, 573, 919, 36443, 3835, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 17395, 506, 10338, 236772, 2861, 59725, 236881, 178829, 106, 107, 105, 2364, 107, 12879, 573, 506, 3540, 4889, 236761, 3792, 236789, 236751, 14245, 506, 10338, 236772, 2861, 59725, 1171, 236761, 28344, 611, 3927, 9593, 1570, 1699, 506, 4453, 5957, 756, 499, 583, 82321, 30336, 15003, 236743, 236770, 236771, 236771, 236862, 810, 3294, 17850, 10022, 5933, 23992, 236789, 531, 9128, 768, 28917, 56846, 815, 496, 18572, 5395, 672, 236764, 653, 768, 2264, 5500, 19009, 2480, 236881, 6542, 236764, 2426, 768, 1027, 2536, 3205, 531, 37358, 10338, 112007, 568, 5282, 8811, 61227, 653, 40156, 236789, 236751, 46344, 81050, 236768, 600, 2473, 2729, 17850, 236772, 123176, 49967, 234633, 607, 6268, 3294, 11550, 236761, 564, 236858, 236753, 5278, 27662, 17850, 3736, 1262, 1024, 19920, 756, 41210, 10958, 236789, 8787, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 202880, 56846, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236778, 236810, 13079, 568, 68480, 2376, 656, 187127, 22730, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 1988, 13040, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 827, 623, 18146, 1363, 236779, 44095, 1083, 2416, 1263, 3714, 3250, 1083, 623, 27146, 61227, 37330, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236771, 236771, 13079, 568, 100320, 32319, 180054, 22730, 623, 9707, 1083, 6610, 236770, 236828, 236761, 236778, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 16904, 236743, 236810, 2378, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 27146, 61227, 236772, 99969, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236832, 236917, 236935, 236953, 236800, 201587, 236863, 827, 623, 18146, 1363, 236779, 44095, 1083, 1847, 1263, 3714, 3250, 1083, 623, 115998, 236789, 236751, 46344, 81050, 753, 189593, 82321, 29785, 568, 236770, 236810, 236771, 236862, 81050, 236768, 753, 31203, 187127, 827, 623, 9707, 1083, 6610, 236778, 236778, 236761, 236771, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 12720, 236749, 986, 236772, 14945, 236772, 222203, 236772, 2209, 583, 82321, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 827, 623, 18146, 1363, 236779, 44095, 1083, 1847, 1263, 3714, 3250, 1083, 623, 41210, 10958, 50275, 2372, 236761, 189593, 82321, 95463, 753, 236743, 236770, 236771, 236771, 13079, 568, 99078, 180054, 22730, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 83385, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236812, 139168, 827, 623, 18146, 1363, 236779, 44095, 1083, 2416, 104960, 623, 2763, 906, 236758, 5710, 236779, 14210, 1083, 623, 202880, 56846, 236789, 236751, 236743, 236770, 236778, 236810, 236772, 2658, 25010, 5022, 5226, 123476, 8047, 840, 4038, 236789, 236745, 4928, 17850, 10022, 7257, 236761, 8811, 61227, 236789, 236751, 17850, 32319, 180054, 18572, 5132, 9295, 21708, 3736, 1262, 573, 61521, 9576, 236761, 40156, 236789, 236751, 23191, 4728, 9813, 5933, 8047, 19455, 532, 59889, 6224, 10498, 623, 18146, 1363, 236779, 44095, 236779, 17943, 1083, 11058, 2574, 1411, 2769, 236761, 7400, 61227, 236761, 854, 827, 623, 2574, 1411, 2769, 236761, 62785, 1920, 112153, 236761, 854, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9314, 531, 506, 10338, 236772, 2861, 59725, 532, 10448, 3927, 2536, 573, 17850, 236772, 123176, 187557, 30336, 15003, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 28917, 56846, 236743, 236770, 236778, 236810, 236772, 12415, 146604, 1018, 138, 107, 236772, 5213, 7396, 66515, 808, 202880, 56846, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236778, 236810, 13079, 568, 68480, 2376, 656, 187127, 12016, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236761, 236819, 236819, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236832, 568, 236770, 236764, 236778, 236771, 236771, 236862, 10595, 236768, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 13810, 8593, 236743, 236770, 236778, 236810, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 174287, 55732, 66515, 35588, 123476, 236764, 3649, 123476, 236764, 37095, 22022, 71438, 236761, 138, 107, 138, 236772, 5213, 99078, 88379, 2109, 66515, 2301, 14481, 17850, 7257, 236764, 840, 72304, 20874, 236743, 236800, 236772, 236819, 9456, 236761, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 1988, 13040, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 236768, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 102496, 44825, 28636, 1018, 138, 107, 2595, 5213, 236776, 236761, 8811, 61227, 37330, 189593, 82321, 96294, 81050, 1018, 138, 107, 236772, 5213, 7396, 66515, 808, 27146, 61227, 37330, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236771, 236771, 13079, 568, 100320, 32319, 180054, 12016, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236761, 236778, 236810, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236810, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 236743, 236770, 236771, 236771, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 100320, 236772, 46163, 5774, 66515, 49308, 9295, 21708, 3736, 19455, 573, 61521, 9576, 236761, 138, 107, 138, 236772, 5213, 36018, 8112, 66515, 37330, 236764, 1908, 236772, 227382, 236761, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 27146, 61227, 236772, 99969, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236832, 236917, 236935, 236953, 236800, 201587, 236863, 236768, 138, 107, 138, 236772, 5213, 23244, 1363, 44825, 66515, 870, 27146, 61227, 236761, 854, 5457, 2574, 1411, 2769, 236761, 7400, 61227, 236761, 854, 236768, 138, 108, 2595, 5213, 236799, 236761, 40156, 236789, 236751, 46344, 81050, 1018, 138, 107, 236772, 5213, 7396, 66515, 808, 115998, 236789, 236751, 46344, 81050, 753, 189593, 82321, 29785, 568, 236770, 236810, 236771, 236862, 81050, 236768, 753, 31203, 187127, 236829, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236778, 236761, 236771, 236771, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236828, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 236743, 236770, 236810, 236771, 236862, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 174287, 55732, 66515, 48756, 19455, 573, 123476, 236764, 37760, 10625, 236764, 532, 71438, 236761, 138, 107, 138, 236772, 5213, 99078, 88379, 2109, 66515, 145971, 586, 10418, 573, 16962, 93952, 568, 22239, 17850, 769, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 12720, 236749, 986, 236772, 14945, 236772, 222203, 236772, 2209, 583, 82321, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 236768, 138, 107, 138, 236772, 5213, 23244, 1363, 44825, 66515, 870, 115998, 222203, 236761, 854, 5457, 2574, 1411, 2769, 236761, 62785, 1920, 112153, 236761, 854, 236768, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 29125, 19993, 236787, 61521, 50275, 2372, 99382, 138, 107, 236772, 5213, 7396, 66515, 808, 41210, 10958, 50275, 2372, 236761, 189593, 82321, 95463, 753, 236743, 236770, 236771, 236771, 13079, 568, 99078, 180054, 12016, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236800, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 236743, 236770, 236771, 236771, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 99078, 88379, 2109, 66515, 639, 40314, 623, 66518, 22882, 236775, 840, 40826, 3530, 17850, 3736, 1262, 236761, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 83385, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236812, 139168, 236768, 138, 108, 7243, 108, 10354, 5213, 4830, 906, 236758, 5710, 107182, 1018, 138, 107, 818, 3303, 3927, 52812, 774, 1156, 28917, 56846, 24812, 236787, 138, 107, 236772, 5213, 236778, 236810, 236772, 23356, 3294, 66515, 12726, 524, 618, 623, 100320, 32319, 180054, 236775, 840, 40826, 5933, 236772, 82033, 8787, 236761, 138, 107, 236772, 5213, 236770, 236778, 236810, 236772, 23356, 3294, 66515, 145971, 586, 5933, 236772, 36954, 840, 5190, 1258, 17850, 236772, 15396, 7257, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236770, 236761, 5213, 17043, 29216, 66515, 5213, 115998, 236789, 236751, 46344, 81050, 1018, 568, 236770, 236810, 236771, 236862, 15003, 236764, 17850, 10022, 7257, 236764, 532, 9813, 5933, 8047, 769, 138, 107, 236778, 236761, 5213, 71653, 236772, 83899, 66515, 5213, 202880, 56846, 236743, 236770, 236778, 236810, 236772, 12415, 1018, 568, 11462, 2157, 840, 2344, 17850, 236772, 15396, 1262, 769, 138, 107, 236800, 236761, 5213, 23244, 1363, 18277, 16713, 66515, 46071, 5213, 27146, 61227, 1018, 653, 5213, 115998, 236789, 236751, 1018, 5467, 4323, 910, 17909, 573, 4128, 236772, 15396, 17783, 532, 59889, 36369, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 10769, 59889, 6224, 699, 37358, 112007, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 506, 1791, 187557, 30336, 15003, 573, 1041, 7972, 236761, 11662, 1051, 564, 1456, 756, 7320, 20305, 36563, 236789, 840, 564, 236789, 236753, 1133, 531, 2056, 2613, 861, 236761, 28344, 611, 3927, 9593, 573, 187557, 30336, 10338, 37924, 600, 659, 1932, 236772, 38109, 7413, 532, 735, 657, 3198, 236743, 236770, 236771, 236771, 15003, 810, 3294, 236881, 564, 236789, 236757, 6412, 7467, 528, 21215, 600, 659, 5933, 236772, 36954, 532, 9273, 573, 17850, 93952, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 753, 7607, 26809, 7413, 236764, 236743, 236770, 236771, 236771, 236862, 81050, 236764, 31203, 187127, 236764, 17850, 32319, 180054, 827, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 2209, 583, 82321, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236770, 236778, 236800, 236812, 236810, 236825, 23179, 3714, 3250, 1083, 623, 41210, 10958, 19871, 81050, 753, 31203, 187127, 17850, 31948, 96294, 81050, 236764, 7607, 26809, 7413, 236764, 236743, 236770, 236771, 236771, 81050, 13079, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236810, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 16904, 236743, 236810, 2378, 528, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 115232, 236772, 222203, 236772, 1988, 13040, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236874, 236832, 236828, 236819, 236771, 236770, 236778, 23179, 3714, 3250, 1083, 623, 7084, 26809, 7413, 58221, 30551, 96294, 81050, 753, 189593, 82321, 84888, 236764, 236743, 236770, 236810, 236771, 81050, 236764, 2376, 656, 187127, 573, 15632, 136240, 1090, 827, 623, 9707, 1083, 6610, 236819, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 7084, 236772, 61436, 7413, 236772, 167211, 236772, 149829, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236953, 236800, 236812, 236810, 236825, 236832, 236828, 25938, 1604, 623, 2305, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 187557, 30336, 10338, 3835, 699, 9593, 600, 2874, 822, 13138, 568, 5265, 236772, 38109, 7413, 236764, 57846, 236770, 236771, 236771, 15003, 236786, 2658, 236764, 5933, 236772, 36954, 236764, 532, 17850, 10022, 86338, 1473, 108, 236770, 236761, 5213, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236828, 138, 107, 139, 236772, 5213, 9473, 66515, 39799, 26777, 618, 17850, 10022, 236772, 123176, 236764, 10293, 236764, 532, 5933, 236772, 36954, 236761, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 2209, 583, 82321, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236770, 236778, 236800, 236812, 236810, 236825, 236768, 108, 236778, 236761, 5213, 41210, 10958, 19871, 81050, 753, 17850, 31948, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236832, 138, 107, 139, 236772, 5213, 9473, 66515, 61521, 236772, 41889, 236764, 5933, 236772, 36954, 187557, 6236, 236761, 19159, 2862, 568, 8960, 236743, 236810, 2378, 769, 138, 107, 139, 236772, 5213, 51164, 66515, 10522, 236743, 236810, 2378, 528, 2862, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 115232, 236772, 222203, 236772, 1988, 13040, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236874, 236832, 236828, 236819, 236771, 236770, 236778, 236768, 108, 236800, 236761, 5213, 7084, 26809, 7413, 58221, 30551, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 5213, 9473, 66515, 2376, 656, 236772, 36954, 573, 16962, 93952, 568, 22239, 17850, 779, 236743, 236770, 236810, 236771, 15003, 236786, 2658, 236761, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 139, 236772, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 7084, 236772, 61436, 7413, 236772, 167211, 236772, 149829, 236772, 152312, 236786, 19615, 236786, 236799, 236771, 236819, 236953, 236800, 236812, 236810, 236825, 236832, 236828, 236768, 108, 1018, 211199, 66515, 669, 5213, 202880, 56846, 1018, 15003, 659, 25010, 36443, 573, 17850, 93952, 236764, 1651, 5213, 100320, 31948, 1018, 5469, 496, 61521, 236772, 15396, 187557, 236761, 669, 5213, 167211, 30551, 1018, 563, 496, 7715, 236772, 18865, 5086, 607, 123476, 8047, 236761, 7179, 9593, 573, 4767, 4889, 1133, 59889, 6224, 653, 5602, 10595, 1680, 21186, 236888, 178829, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 5602, 10595, 573, 506, 28917, 56846, 37330, 189593, 82321, 96294, 81050, 236881, 564, 236858, 236753, 1133, 531, 1281, 768, 1027, 79802, 10916, 6950, 2630, 6730, 1091, 528, 17850, 653, 8047, 531, 3364, 12818, 1133, 123476, 236761, 6542, 236764, 659, 993, 1027, 1032, 187557, 21215, 528, 506, 3927, 2536, 600, 2473, 577, 3361, 840, 19310, 236858, 236745, 5012, 528, 506, 4068, 1694, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 157061, 10293, 187557, 30336, 15003, 13342, 121714, 236764, 5933, 236772, 36954, 6485, 7436, 573, 2033, 26318, 236761, 7607, 236772, 38109, 7413, 236764, 1908, 236772, 227382, 236764, 532, 9273, 573, 72304, 20874, 236743, 236800, 236772, 236819, 10498, 623, 79205, 236779, 134878, 1083, 3714, 23356, 236779, 2861, 1083, 623, 236778, 236810, 15003, 810, 23370, 827, 623, 14081, 236779, 2084, 1083, 623, 2704, 166422, 827, 623, 230023, 236779, 14356, 1083, 623, 236832, 236810, 236772, 236828, 236810, 2668, 827, 623, 114555, 236779, 82033, 1083, 11058, 39403, 2376, 656, 827, 623, 173405, 22022, 93721, 152254, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236812, 236828, 236778, 236764, 623, 87622, 236779, 73769, 236779, 66850, 1083, 78493, 7125, 1083, 623, 100320, 827, 623, 13486, 1083, 623, 1214, 34958, 528, 17850, 5312, 5387, 236888, 2301, 123476, 4342, 9785, 52472, 3439, 236761, 129088, 236743, 236778, 236771, 236862, 16931, 529, 29979, 810, 3732, 221476, 3714, 7125, 1083, 623, 127387, 827, 623, 13486, 1083, 623, 72294, 15003, 573, 236743, 236800, 20971, 236761, 187127, 531, 5226, 123476, 600, 19375, 38477, 16217, 6485, 1781, 200808, 623, 56905, 1083, 623, 902, 13827, 827, 623, 32596, 236779, 17870, 1083, 78493, 3250, 1083, 623, 71878, 29393, 37330, 189593, 82321, 96294, 81050, 827, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236810, 236771, 827, 623, 7777, 1083, 623, 66020, 236772, 176270, 6236, 607, 20987, 8047, 531, 5627, 225950, 71438, 236761, 125936, 236743, 236770, 236772, 236778, 16109, 16391, 4011, 573, 24032, 221476, 3714, 3250, 1083, 623, 59026, 70093, 46222, 189593, 82321, 96294, 81050, 827, 623, 9707, 1083, 6610, 236770, 236800, 236761, 236778, 236810, 827, 623, 7777, 1083, 623, 25531, 236764, 97609, 18434, 607, 3756, 8047, 531, 30336, 37760, 10625, 236761, 99423, 152416, 840, 6112, 23904, 528, 15891, 93952, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 3671, 529, 506, 5213, 202880, 56846, 37330, 189593, 82321, 96294, 81050, 1018, 532, 4596, 3835, 236787, 108, 10354, 5213, 202880, 56846, 31727, 236787, 17850, 833, 31203, 55732, 1018, 107, 236772, 5213, 100320, 21942, 66515, 138, 107, 138, 114895, 3540, 699, 17850, 236787, 138, 107, 138, 71510, 1214, 34958, 528, 17850, 5312, 5387, 236888, 2301, 123476, 4342, 9785, 52472, 3439, 236761, 129088, 236743, 236778, 236771, 236862, 16931, 529, 29979, 810, 3732, 1781, 236829, 138, 108, 236772, 5213, 174287, 55732, 66515, 138, 107, 138, 114895, 3540, 699, 25814, 236787, 138, 107, 138, 71510, 72294, 15003, 573, 236743, 236800, 20971, 236761, 187127, 531, 5226, 123476, 600, 19375, 38477, 16217, 6485, 1781, 236829, 138, 108, 138, 1018, 58972, 187779, 66515, 138, 107, 138, 178538, 8047, 531, 5213, 39403, 2376, 656, 1018, 532, 5213, 173405, 22022, 93721, 125546, 607, 10293, 22902, 532, 1908, 236772, 227382, 4981, 236761, 108, 7243, 108, 10354, 5213, 3503, 3725, 906, 236758, 5710, 1018, 138, 107, 818, 1698, 6492, 5022, 5213, 236775, 236778, 236810, 15003, 810, 23370, 236775, 125546, 47341, 607, 506, 4068, 3927, 1354, 28277, 5213, 236775, 236770, 236771, 236771, 236862, 15003, 236775, 84750, 1174, 12205, 496, 2653, 3165, 528, 506, 3927, 2536, 653, 496, 18572, 529, 506, 1698, 236761, 1599, 1149, 1461, 531, 16807, 672, 5467, 580, 9593, 653, 3662, 506, 20925, 573, 65977, 236761, 108, 7243, 108, 10354, 5213, 49077, 189593, 82321, 200914, 1018, 138, 107, 818, 1698, 3104, 15852, 1156, 3361, 3835, 236764, 3635, 901, 1335, 528, 2307, 13138, 236787, 138, 108, 236770, 236761, 5213, 71878, 29393, 37330, 189593, 82321, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 174287, 55732, 66515, 23764, 225950, 71438, 138, 107, 139, 236772, 5213, 99078, 88379, 2109, 66515, 28868, 236772, 176270, 568, 46511, 573, 20532, 6730, 18046, 236768, 138, 107, 139, 236772, 5213, 37637, 5135, 66515, 2301, 4928, 529, 17850, 10022, 86338, 653, 1494, 10338, 1527, 236761, 138, 108, 236778, 236761, 5213, 59026, 70093, 46222, 189593, 82321, 96294, 81050, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236800, 236761, 236778, 236810, 138, 107, 139, 236772, 5213, 174287, 55732, 66515, 96294, 37760, 10625, 138, 107, 139, 236772, 5213, 99078, 88379, 2109, 66515, 14105, 93952, 568, 1933, 7436, 573, 17850, 236768, 138, 107, 139, 236772, 5213, 37637, 5135, 66515, 99423, 152416, 532, 563, 2344, 28983, 531, 16962, 93952, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236772, 5213, 202880, 56846, 66515, 18565, 506, 10338, 236772, 2861, 59725, 236764, 506, 17850, 236772, 15396, 2630, 532, 123476, 8047, 1386, 625, 496, 3188, 11054, 236761, 64063, 506, 10338, 1527, 607, 506, 20925, 653, 2426, 573, 496, 623, 236770, 236771, 236771, 236862, 15003, 236775, 18572, 236761, 138, 107, 236772, 5213, 213859, 66515, 40436, 17587, 29393, 6271, 77179, 46222, 6340, 20239, 822, 13138, 568, 100320, 10022, 236764, 57846, 236770, 236771, 236771, 15003, 769, 14066, 204981, 506, 3927, 607, 20843, 18774, 568, 236744, 236761, 236759, 1126, 623, 236770, 236771, 236771, 15003, 236775, 900, 623, 100320, 1373, 653, 22260, 37358, 10338, 112007, 573, 919, 36443, 3835, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 17395, 506, 10338, 236772, 2861, 59725, 236881, 178829, 106, 107, 105, 2364, 107, 12879, 573, 506, 3540, 4889, 236761, 3792, 236789, 236751, 14245, 506, 10338, 236772, 2861, 59725, 1171, 236761, 28344, 611, 3927, 9593, 1570, 1699, 506, 4453, 5957, 756, 499, 583, 82321, 30336, 15003, 236743, 236770, 236771, 236771, 236862, 810, 3294, 17850, 10022, 5933, 23992, 236789, 531, 9128, 768, 28917, 56846, 815, 496, 18572, 5395, 672, 236764, 653, 768, 2264, 5500, 19009, 2480, 236881, 6542, 236764, 2426, 768, 1027, 2536, 3205, 531, 37358, 10338, 112007, 568, 5282, 8811, 61227, 653, 40156, 236789, 236751, 46344, 81050, 236768, 600, 2473, 2729, 17850, 236772, 123176, 49967, 234633, 607, 6268, 3294, 11550, 236761, 564, 236858, 236753, 5278, 27662, 17850, 3736, 1262, 1024, 19920, 756, 41210, 10958, 236789, 8787, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 202880, 56846, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236778, 236810, 13079, 568, 68480, 2376, 656, 187127, 22730, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 1988, 13040, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 827, 623, 18146, 1363, 236779, 44095, 1083, 2416, 1263, 3714, 3250, 1083, 623, 27146, 61227, 37330, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236771, 236771, 13079, 568, 100320, 32319, 180054, 22730, 623, 9707, 1083, 6610, 236770, 236828, 236761, 236778, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 16904, 236743, 236810, 2378, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 27146, 61227, 236772, 99969, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236832, 236917, 236935, 236953, 236800, 201587, 236863, 827, 623, 18146, 1363, 236779, 44095, 1083, 1847, 1263, 3714, 3250, 1083, 623, 115998, 236789, 236751, 46344, 81050, 753, 189593, 82321, 29785, 568, 236770, 236810, 236771, 236862, 81050, 236768, 753, 31203, 187127, 827, 623, 9707, 1083, 6610, 236778, 236778, 236761, 236771, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 12720, 236749, 986, 236772, 14945, 236772, 222203, 236772, 2209, 583, 82321, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 827, 623, 18146, 1363, 236779, 44095, 1083, 1847, 1263, 3714, 3250, 1083, 623, 41210, 10958, 50275, 2372, 236761, 189593, 82321, 95463, 753, 236743, 236770, 236771, 236771, 13079, 568, 99078, 180054, 22730, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 83385, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236812, 139168, 827, 623, 18146, 1363, 236779, 44095, 1083, 2416, 104960, 623, 2763, 906, 236758, 5710, 236779, 14210, 1083, 623, 202880, 56846, 236789, 236751, 236743, 236770, 236778, 236810, 236772, 2658, 25010, 5022, 5226, 123476, 8047, 840, 4038, 236789, 236745, 4928, 17850, 10022, 7257, 236761, 8811, 61227, 236789, 236751, 17850, 32319, 180054, 18572, 5132, 9295, 21708, 3736, 1262, 573, 61521, 9576, 236761, 40156, 236789, 236751, 23191, 4728, 9813, 5933, 8047, 19455, 532, 59889, 6224, 10498, 623, 18146, 1363, 236779, 44095, 236779, 17943, 1083, 11058, 2574, 1411, 2769, 236761, 7400, 61227, 236761, 854, 827, 623, 2574, 1411, 2769, 236761, 62785, 1920, 112153, 236761, 854, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9314, 531, 506, 10338, 236772, 2861, 59725, 532, 10448, 3927, 2536, 573, 17850, 236772, 123176, 187557, 30336, 15003, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 28917, 56846, 236743, 236770, 236778, 236810, 236772, 12415, 146604, 1018, 138, 107, 236772, 5213, 7396, 66515, 808, 202880, 56846, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236778, 236810, 13079, 568, 68480, 2376, 656, 187127, 12016, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236812, 236761, 236819, 236819, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236832, 568, 236770, 236764, 236778, 236771, 236771, 236862, 10595, 236768, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 13810, 8593, 236743, 236770, 236778, 236810, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 174287, 55732, 66515, 35588, 123476, 236764, 3649, 123476, 236764, 37095, 22022, 71438, 236761, 138, 107, 138, 236772, 5213, 99078, 88379, 2109, 66515, 2301, 14481, 17850, 7257, 236764, 840, 72304, 20874, 236743, 236800, 236772, 236819, 9456, 236761, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 202880, 236772, 137187, 236772, 1988, 13040, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 236768, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 102496, 44825, 28636, 1018, 138, 107, 2595, 5213, 236776, 236761, 8811, 61227, 37330, 189593, 82321, 96294, 81050, 1018, 138, 107, 236772, 5213, 7396, 66515, 808, 27146, 61227, 37330, 189593, 82321, 96294, 81050, 753, 236743, 236770, 236771, 236771, 13079, 568, 100320, 32319, 180054, 12016, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236828, 236761, 236778, 236810, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236810, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 236743, 236770, 236771, 236771, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 100320, 236772, 46163, 5774, 66515, 49308, 9295, 21708, 3736, 19455, 573, 61521, 9576, 236761, 138, 107, 138, 236772, 5213, 36018, 8112, 66515, 37330, 236764, 1908, 236772, 227382, 236761, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 27146, 61227, 236772, 99969, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236832, 236917, 236935, 236953, 236800, 201587, 236863, 236768, 138, 107, 138, 236772, 5213, 23244, 1363, 44825, 66515, 870, 27146, 61227, 236761, 854, 5457, 2574, 1411, 2769, 236761, 7400, 61227, 236761, 854, 236768, 138, 108, 2595, 5213, 236799, 236761, 40156, 236789, 236751, 46344, 81050, 1018, 138, 107, 236772, 5213, 7396, 66515, 808, 115998, 236789, 236751, 46344, 81050, 753, 189593, 82321, 29785, 568, 236770, 236810, 236771, 236862, 81050, 236768, 753, 31203, 187127, 236829, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236778, 236761, 236771, 236771, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236828, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 236743, 236770, 236810, 236771, 236862, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 174287, 55732, 66515, 48756, 19455, 573, 123476, 236764, 37760, 10625, 236764, 532, 71438, 236761, 138, 107, 138, 236772, 5213, 99078, 88379, 2109, 66515, 145971, 586, 10418, 573, 16962, 93952, 568, 22239, 17850, 769, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 12720, 236749, 986, 236772, 14945, 236772, 222203, 236772, 2209, 583, 82321, 236772, 12415, 236786, 19615, 236786, 236799, 236771, 236819, 236917, 236935, 236953, 236812, 236778, 236935, 236863, 236768, 138, 107, 138, 236772, 5213, 23244, 1363, 44825, 66515, 870, 115998, 222203, 236761, 854, 5457, 2574, 1411, 2769, 236761, 62785, 1920, 112153, 236761, 854, 236768, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 29125, 19993, 236787, 61521, 50275, 2372, 99382, 138, 107, 236772, 5213, 7396, 66515, 808, 41210, 10958, 50275, 2372, 236761, 189593, 82321, 95463, 753, 236743, 236770, 236771, 236771, 13079, 568, 99078, 180054, 12016, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236800, 138, 107, 236772, 5213, 3503, 20303, 66515, 138, 107, 138, 236772, 5213, 83385, 4308, 66515, 236743, 236770, 236771, 236771, 15003, 236786, 2658, 236761, 138, 107, 138, 236772, 5213, 99078, 88379, 2109, 66515, 639, 40314, 623, 66518, 22882, 236775, 840, 40826, 3530, 17850, 3736, 1262, 236761, 138, 107, 138, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 41210, 10958, 236772, 83385, 236772, 178329, 236772, 152312, 236772, 222203, 236786, 19615, 236786, 236799, 236771, 236828, 236917, 236935, 236953, 236812, 236812, 139168, 236768, 138, 108, 7243, 108, 10354, 5213, 4830, 906, 236758, 5710, 107182, 1018, 138, 107, 818, 3303, 3927, 52812, 774, 1156, 28917, 56846, 24812, 236787, 138, 107, 236772, 5213, 236778, 236810, 236772, 23356, 3294, 66515, 12726, 524, 618, 623, 100320, 32319, 180054, 236775, 840, 40826, 5933, 236772, 82033, 8787, 236761, 138, 107, 236772, 5213, 236770, 236778, 236810, 236772, 23356, 3294, 66515, 145971, 586, 5933, 236772, 36954, 840, 5190, 1258, 17850, 236772, 15396, 7257, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236770, 236761, 5213, 17043, 29216, 66515, 5213, 115998, 236789, 236751, 46344, 81050, 1018, 568, 236770, 236810, 236771, 236862, 15003, 236764, 17850, 10022, 7257, 236764, 532, 9813, 5933, 8047, 769, 138, 107, 236778, 236761, 5213, 71653, 236772, 83899, 66515, 5213, 202880, 56846, 236743, 236770, 236778, 236810, 236772, 12415, 1018, 568, 11462, 2157, 840, 2344, 17850, 236772, 15396, 1262, 769, 138, 107, 236800, 236761, 5213, 23244, 1363, 18277, 16713, 66515, 46071, 5213, 27146, 61227, 1018, 653, 5213, 115998, 236789, 236751, 1018, 5467, 4323, 910, 17909, 573, 4128, 236772, 15396, 17783, 532, 59889, 36369, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 10769, 59889, 6224, 699, 37358, 112007, 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, 6995, 496, 2135, 7946, 573, 1041, 236743, 236810, 594, 107067, 531, 2748, 2263, 42433, 532, 1461, 531, 11327, 24682, 3541, 8934, 2156, 236761, 3199, 611, 1161, 506, 566, 236770, 236779, 236770, 236779, 6307, 5904, 531, 33205, 496, 18201, 529, 69480, 5796, 236789, 236751, 24682, 4456, 657, 4560, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 236881, 564, 236789, 236753, 1133, 531, 1460, 506, 1694, 529, 24682, 532, 910, 8652, 29141, 531, 1502, 91240, 1679, 3835, 600, 735, 12801, 47351, 573, 1023, 6647, 4360, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 202099, 5796, 36962, 1109, 46071, 12263, 105745, 236751, 827, 623, 7777, 1083, 623, 64801, 12801, 24682, 532, 1932, 9952, 528, 69480, 5796, 18482, 225428, 24599, 236764, 25260, 47351, 236764, 532, 23092, 56945, 236761, 49308, 32801, 1938, 573, 104159, 38476, 236764, 10654, 73590, 236764, 532, 69480, 31080, 7768, 9252, 24682, 10498, 623, 19852, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 3871, 236786, 164297, 236786, 185976, 236772, 57514, 236772, 144938, 236761, 4034, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 827, 623, 19645, 1083, 623, 4545, 2078, 59526, 236761, 2187, 827, 623, 8777, 236779, 1201, 1083, 623, 202099, 5796, 6110, 827, 623, 42743, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 42743, 236761, 2486, 827, 623, 2084, 1083, 623, 31935, 827, 623, 19112, 1083, 11058, 164297, 827, 623, 158100, 827, 623, 81234, 236772, 52531, 827, 623, 3593, 236772, 12233, 975, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18201, 529, 69480, 5796, 236789, 236751, 24682, 4456, 573, 822, 2135, 7946, 6995, 236787, 108, 1018, 7396, 53121, 69480, 5796, 36962, 1109, 46071, 12263, 105745, 236751, 138, 107, 1018, 9770, 53121, 138, 107, 64801, 24682, 528, 69480, 5796, 18482, 225428, 24599, 236764, 25260, 47351, 236764, 532, 23092, 56945, 236761, 9533, 11024, 3204, 104159, 38476, 568, 1192, 5168, 42433, 779, 10654, 73590, 568, 1364, 69695, 22249, 532, 18538, 1972, 779, 532, 69480, 31080, 7768, 9252, 24682, 568, 40323, 7632, 47351, 769, 669, 3432, 5132, 32801, 8283, 573, 45435, 236761, 108, 1018, 3503, 25772, 573, 5180, 7621, 15610, 53121, 138, 107, 236772, 236743, 246487, 5213, 9264, 5168, 102321, 1018, 568, 236792, 30146, 38476, 236768, 138, 107, 236772, 236743, 244245, 5213, 175153, 105745, 236751, 1018, 568, 5047, 73590, 4025, 1339, 95715, 236768, 138, 107, 236772, 236743, 478, 397, 404, 390, 5213, 181186, 4296, 21165, 1018, 568, 9435, 531, 29990, 236764, 13923, 236764, 532, 18538, 8075, 236768, 138, 107, 236772, 236743, 246434, 5213, 32051, 7632, 101191, 2139, 1018, 568, 163898, 63632, 532, 155107, 528, 587, 19397, 236796, 24682, 236768, 138, 108, 818, 24682, 3196, 1388, 236772, 135717, 573, 16319, 46327, 236764, 607, 9245, 64946, 532, 25260, 18567, 236761, 21284, 611, 1133, 786, 531, 8430, 3530, 4889, 1003, 1027, 2931, 4467, 1699, 506, 2587, 3004, 23680, 5904, 568, 236766, 236770, 236779, 236770, 236779, 42204, 236768, 531, 1601, 96820, 822, 5313, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 52060, 8797, 10654, 73590, 4025, 1339, 95715, 573, 1061, 25260, 236786, 34736, 3213, 2338, 692, 236858, 560, 1010, 16319, 38268, 36513, 532, 25260, 2780, 15743, 236761, 28344, 611, 1161, 506, 566, 236770, 236779, 236770, 236779, 42204, 5904, 580, 506, 10654, 73590, 4467, 3104, 568, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 236786, 3947, 236772, 500, 4443, 236772, 35896, 236772, 561, 95715, 236768, 531, 974, 9813, 8283, 1003, 910, 12524, 6607, 532, 38268, 7444, 36453, 236881, 564, 1202, 72320, 1003, 28172, 2528, 26931, 236764, 2487, 47351, 573, 5117, 15412, 236764, 532, 1027, 9800, 5405, 1133, 877, 236786, 3274, 236772, 37620, 16183, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 236786, 3947, 236772, 500, 4443, 236772, 35896, 236772, 561, 95715, 827, 623, 3250, 1083, 623, 5047, 73590, 4025, 1339, 95715, 753, 9426, 833, 114475, 34401, 41327, 827, 623, 3955, 1083, 3714, 119312, 236779, 110639, 1083, 3714, 66414, 236779, 13858, 236779, 236745, 2278, 1083, 3714, 7777, 1083, 623, 206240, 236772, 4647, 2135, 22817, 19541, 580, 25260, 42433, 236764, 38268, 7444, 46327, 236764, 532, 18538, 2780, 15743, 10498, 623, 48578, 1083, 623, 8554, 236743, 236800, 236810, 3272, 810, 2299, 827, 623, 19001, 1083, 623, 236800, 236772, 236812, 3885, 827, 623, 61823, 236779, 11607, 1083, 623, 52531, 236940, 3947, 500, 4443, 236761, 2187, 23179, 623, 28734, 236779, 18892, 1083, 3714, 66746, 236779, 96125, 1083, 11058, 236774, 754, 34401, 10353, 6940, 13768, 568, 9322, 3510, 236743, 236825, 236772, 236828, 22730, 623, 175153, 212044, 14419, 568, 9322, 3510, 236743, 236819, 236772, 236770, 236778, 22730, 623, 99034, 100887, 53712, 15316, 14419, 568, 2663, 18592, 7621, 236768, 14255, 623, 14383, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 236775, 5237, 623, 236745, 754, 236779, 11138, 236779, 12549, 1083, 3714, 21853, 1083, 11058, 84585, 11877, 568, 66414, 2802, 1186, 22730, 623, 236796, 123628, 4892, 2304, 568, 1508, 236772, 66414, 607, 9841, 236768, 14255, 623, 171971, 236779, 9846, 1083, 11058, 157802, 939, 205895, 20874, 827, 623, 165622, 7642, 42433, 827, 623, 236855, 77633, 6426, 15412, 4106, 14255, 623, 192941, 1083, 3714, 28213, 24438, 236779, 12549, 1083, 1847, 236764, 623, 17178, 236779, 2543, 236779, 67299, 1083, 623, 236771, 236761, 236778, 7635, 531, 1689, 38268, 7444, 2433, 236775, 5237, 623, 2092, 236779, 187499, 1083, 1847, 236764, 623, 10494, 236779, 143195, 1083, 236743, 236812, 236764, 623, 21052, 1083, 3714, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6386, 1083, 623, 5047, 73590, 4025, 1339, 95715, 8096, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 23583, 699, 506, 10654, 73590, 4025, 1339, 95715, 3104, 531, 1894, 822, 25260, 18481, 2135, 7946, 236787, 108, 1018, 164003, 41327, 573, 28043, 1018, 138, 107, 236772, 5213, 227042, 12219, 170103, 1018, 138, 107, 138, 236772, 30235, 236787, 59988, 42433, 236764, 38268, 7444, 46327, 236764, 532, 18538, 2780, 15743, 138, 107, 138, 236772, 61242, 236787, 5827, 531, 236743, 236800, 236810, 3272, 810, 2299, 138, 107, 138, 236772, 49483, 236787, 236743, 236800, 236772, 236812, 3885, 568, 63914, 573, 822, 6647, 4360, 236768, 138, 107, 138, 236772, 66591, 236787, 13948, 4993, 236940, 3947, 500, 4443, 236761, 2187, 568, 6275, 990, 236787, 236743, 236778, 236772, 236800, 1960, 2668, 236768, 138, 108, 1018, 236774, 754, 34401, 13863, 833, 101191, 2139, 1018, 138, 107, 236772, 5213, 11898, 81396, 53712, 1018, 138, 107, 138, 236770, 236761, 5213, 84585, 11877, 1018, 568, 227042, 2802, 1186, 753, 4467, 88423, 5378, 236768, 138, 107, 141, 236772, 49347, 939, 205895, 20874, 607, 137472, 236764, 26235, 17955, 236764, 532, 5442, 8197, 138, 107, 141, 236772, 55325, 7642, 42433, 573, 16074, 18538, 37061, 9935, 138, 107, 138, 236778, 236761, 5213, 236796, 123628, 4892, 2304, 1018, 568, 25864, 236772, 66414, 607, 2196, 9841, 236768, 138, 107, 141, 236772, 24819, 236758, 6426, 15412, 1913, 2708, 38268, 568, 68717, 88810, 236768, 138, 107, 141, 236772, 111886, 236787, 50776, 24438, 15283, 2479, 568, 236771, 236761, 236778, 7635, 699, 12660, 236768, 138, 108, 1018, 42862, 18238, 1018, 138, 107, 236772, 5213, 98993, 48139, 1018, 568, 18700, 657, 870, 42862, 107326, 5457, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 16644, 138, 107, 138, 236772, 623, 236774, 754, 34401, 10353, 6940, 13768, 236775, 568, 45096, 742, 573, 236743, 236810, 594, 11398, 236768, 138, 107, 138, 236772, 623, 175153, 212044, 14419, 236775, 568, 22239, 4916, 236772, 498, 6784, 10886, 10083, 236768, 138, 107, 138, 236772, 70765, 236772, 991, 9144, 4866, 14845, 2487, 573, 35929, 4402, 138, 108, 1018, 4153, 4884, 7918, 1018, 138, 107, 818, 4467, 236789, 236751, 12524, 6607, 3104, 691, 10448, 5261, 236743, 236778, 236771, 236778, 236812, 532, 5132, 110718, 22779, 573, 38268, 7444, 2802, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 59336, 85382, 573, 506, 236743, 236825, 236772, 236828, 11398, 38268, 7444, 16183, 2731, 236881, 138, 107, 236778, 236768, 7179, 36453, 4889, 573, 1027, 3530, 5117, 3548, 236881, 138, 107, 236800, 236768, 11696, 872, 4803, 9800, 10595, 529, 506, 1948, 236881, 106, 107, 105, 2364, 107, 30092, 611, 5091, 236787, 236743, 236770, 236768, 43291, 506, 623, 236774, 754, 34401, 10353, 6940, 13768, 236775, 16183, 2731, 573, 236743, 236810, 594, 107067, 236881, 124205, 506, 36010, 532, 3600, 4916, 236772, 498, 5085, 600, 8913, 607, 65799, 4033, 236743, 236810, 236772, 15843, 236778, 236772, 236770, 568, 101404, 62507, 236787, 12969, 236764, 2778, 236764, 532, 16182, 769, 236743, 236778, 236768, 64063, 768, 506, 44464, 11877, 28172, 38268, 7444, 2802, 143125, 3272, 607, 25028, 3548, 6998, 506, 51247, 2479, 657, 622, 123628, 4892, 2304, 236881, 564, 735, 886, 5117, 1015, 6178, 496, 93837, 532, 2264, 607, 43206, 8487, 8991, 236761, 236743, 236800, 236768, 6890, 566, 236770, 236779, 236770, 236779, 6307, 580, 506, 10654, 73590, 9800, 98889, 3104, 568, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 236768, 531, 18201, 1027, 4803, 10595, 653, 106834, 699, 1032, 45435, 1015, 236789, 560, 13896, 607, 24757, 3272, 236881, 1174, 1093, 1601, 786, 96820, 506, 7946, 33972, 532, 5330, 784, 3272, 740, 6340, 14309, 528, 506, 18481, 5254, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 42862, 107326, 753, 10654, 73590, 4025, 1339, 95715, 827, 623, 7777, 1083, 623, 32343, 1277, 5405, 2440, 38268, 7444, 16183, 6614, 236764, 36453, 26309, 236764, 532, 65799, 4033, 236772, 4647, 5085, 236761, 34980, 106834, 8357, 43206, 236772, 18865, 38268, 7444, 9871, 532, 54472, 573, 25028, 7359, 6998, 51247, 16412, 10498, 623, 19852, 1083, 623, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236800, 236786, 236745, 754, 236772, 11138, 236772, 32781, 236761, 4034, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 66850, 1083, 78493, 6386, 1083, 623, 166339, 630, 1126, 236743, 236810, 594, 32298, 37607, 827, 623, 1005, 1083, 623, 818, 756, 236774, 754, 34401, 106714, 616, 236789, 8214, 691, 4011, 573, 93494, 18481, 14485, 236761, 1191, 12269, 506, 2780, 4108, 4588, 1699, 14228, 84608, 532, 13762, 7626, 8651, 753, 5934, 1822, 573, 99255, 38600, 9332, 1263, 3714, 6386, 1083, 623, 45344, 587, 1126, 10624, 9426, 44396, 827, 623, 1005, 1083, 623, 39986, 98509, 1023, 5117, 607, 496, 93837, 684, 6655, 496, 24282, 33398, 5058, 657, 38268, 36513, 236761, 226978, 34332, 568, 33828, 236772, 179051, 13917, 33640, 236764, 41686, 30359, 26309, 236768, 2487, 3324, 2864, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 531, 96820, 822, 6995, 236787, 108, 1018, 236770, 236761, 236743, 236810, 594, 32298, 236772, 178329, 114475, 34401, 10353, 6940, 23195, 1018, 138, 107, 22515, 580, 72391, 10595, 532, 65799, 4033, 236743, 236810, 236772, 15843, 236778, 236772, 236770, 8443, 236787, 138, 107, 236772, 5213, 205266, 174208, 53121, 44635, 623, 1045, 59532, 236786, 230982, 236786, 893, 129998, 616, 236775, 607, 623, 14081, 236772, 26427, 236786, 36502, 236772, 236744, 20474, 236786, 61904, 616, 236775, 138, 107, 236772, 5213, 54968, 236772, 2791, 140165, 53121, 138, 107, 138, 236772, 8600, 99255, 2780, 4108, 8651, 607, 8675, 34624, 568, 236744, 236761, 236759, 1126, 167805, 56758, 236764, 892, 67141, 5442, 170337, 1365, 236768, 138, 107, 138, 236772, 6890, 204291, 236772, 64555, 17054, 531, 2016, 5663, 2780, 4108, 21896, 580, 8521, 19059, 138, 107, 138, 236772, 114475, 34401, 2991, 737, 10394, 35605, 236787, 623, 11823, 236743, 236800, 8075, 600, 9039, 6485, 236764, 236743, 236778, 600, 9039, 1032, 8075, 236775, 138, 107, 236772, 5213, 88400, 53121, 19291, 4988, 3606, 2780, 21896, 1699, 44830, 529, 2263, 5557, 568, 18700, 528, 506, 98889, 236768, 108, 1018, 236778, 236761, 44464, 11877, 111886, 125145, 1018, 138, 107, 4663, 72391, 106834, 532, 4467, 5405, 236787, 138, 107, 236772, 5213, 87828, 1247, 59017, 53121, 138, 107, 138, 236772, 71808, 33398, 5058, 2487, 573, 3272, 1699, 122082, 568, 4881, 577, 32848, 657, 38268, 7444, 1984, 236768, 138, 107, 138, 236772, 18982, 4122, 528, 43206, 236772, 18865, 44162, 8403, 568, 22239, 7426, 30916, 532, 12010, 20874, 236768, 138, 107, 236772, 5213, 82755, 933, 12730, 53121, 138, 107, 138, 236772, 59461, 236772, 179051, 13917, 33640, 532, 32581, 19161, 37304, 2487, 3324, 2864, 138, 107, 138, 236772, 623, 236774, 754, 34401, 52973, 236775, 2948, 3847, 877, 236772, 37620, 531, 6439, 43206, 66342, 138, 107, 138, 236772, 53399, 57416, 4993, 236940, 3947, 500, 4443, 236761, 2187, 236743, 236778, 5695, 4487, 531, 28913, 54472, 108, 1018, 236800, 236761, 194698, 31727, 699, 37607, 107326, 11338, 1018, 138, 107, 3503, 106834, 573, 24757, 20503, 236787, 138, 107, 236772, 5213, 62554, 2109, 53121, 138, 107, 138, 71510, 62859, 506, 2780, 4108, 4588, 607, 14228, 31929, 21896, 1271, 1581, 1041, 172480, 3272, 126881, 2778, 4921, 9332, 236829, 138, 107, 138, 236964, 77024, 630, 1126, 236743, 236810, 594, 32298, 37607, 138, 107, 236772, 5213, 902, 3067, 1952, 53121, 138, 107, 138, 71510, 39986, 6111, 496, 24282, 38983, 531, 1023, 62913, 33398, 2433, 573, 3272, 1015, 9225, 236789, 236745, 21332, 17240, 147698, 138, 107, 138, 236964, 13108, 587, 1126, 10624, 9426, 44396, 138, 108, 818, 98889, 3104, 691, 10448, 528, 5261, 236743, 236778, 236771, 236778, 236812, 532, 5132, 110718, 7426, 26309, 573, 38268, 7444, 22824, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 43550, 496, 5498, 7426, 10368, 573, 506, 43206, 236772, 46443, 5117, 236881, 138, 107, 236778, 236768, 8600, 496, 60218, 529, 3149, 2135, 7946, 6667, 2721, 580, 4467, 6035, 236881, 138, 107, 236800, 236768, 9100, 38268, 17046, 28494, 573, 12567, 939, 205895, 10202, 15412, 2782, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2135, 7946, 573, 1041, 236743, 236810, 594, 107067, 531, 2748, 2263, 42433, 532, 1461, 531, 11327, 24682, 3541, 8934, 2156, 236761, 3199, 611, 1161, 506, 566, 236770, 236779, 236770, 236779, 6307, 5904, 531, 33205, 496, 18201, 529, 69480, 5796, 236789, 236751, 24682, 4456, 657, 4560, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 236881, 564, 236789, 236753, 1133, 531, 1460, 506, 1694, 529, 24682, 532, 910, 8652, 29141, 531, 1502, 91240, 1679, 3835, 600, 735, 12801, 47351, 573, 1023, 6647, 4360, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 202099, 5796, 36962, 1109, 46071, 12263, 105745, 236751, 827, 623, 7777, 1083, 623, 64801, 12801, 24682, 532, 1932, 9952, 528, 69480, 5796, 18482, 225428, 24599, 236764, 25260, 47351, 236764, 532, 23092, 56945, 236761, 49308, 32801, 1938, 573, 104159, 38476, 236764, 10654, 73590, 236764, 532, 69480, 31080, 7768, 9252, 24682, 10498, 623, 19852, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 3871, 236786, 164297, 236786, 185976, 236772, 57514, 236772, 144938, 236761, 4034, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 827, 623, 19645, 1083, 623, 4545, 2078, 59526, 236761, 2187, 827, 623, 8777, 236779, 1201, 1083, 623, 202099, 5796, 6110, 827, 623, 42743, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 42743, 236761, 2486, 827, 623, 2084, 1083, 623, 31935, 827, 623, 19112, 1083, 11058, 164297, 827, 623, 158100, 827, 623, 81234, 236772, 52531, 827, 623, 3593, 236772, 12233, 975, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18201, 529, 69480, 5796, 236789, 236751, 24682, 4456, 573, 822, 2135, 7946, 6995, 236787, 108, 1018, 7396, 53121, 69480, 5796, 36962, 1109, 46071, 12263, 105745, 236751, 138, 107, 1018, 9770, 53121, 138, 107, 64801, 24682, 528, 69480, 5796, 18482, 225428, 24599, 236764, 25260, 47351, 236764, 532, 23092, 56945, 236761, 9533, 11024, 3204, 104159, 38476, 568, 1192, 5168, 42433, 779, 10654, 73590, 568, 1364, 69695, 22249, 532, 18538, 1972, 779, 532, 69480, 31080, 7768, 9252, 24682, 568, 40323, 7632, 47351, 769, 669, 3432, 5132, 32801, 8283, 573, 45435, 236761, 108, 1018, 3503, 25772, 573, 5180, 7621, 15610, 53121, 138, 107, 236772, 236743, 246487, 5213, 9264, 5168, 102321, 1018, 568, 236792, 30146, 38476, 236768, 138, 107, 236772, 236743, 244245, 5213, 175153, 105745, 236751, 1018, 568, 5047, 73590, 4025, 1339, 95715, 236768, 138, 107, 236772, 236743, 478, 397, 404, 390, 5213, 181186, 4296, 21165, 1018, 568, 9435, 531, 29990, 236764, 13923, 236764, 532, 18538, 8075, 236768, 138, 107, 236772, 236743, 246434, 5213, 32051, 7632, 101191, 2139, 1018, 568, 163898, 63632, 532, 155107, 528, 587, 19397, 236796, 24682, 236768, 138, 108, 818, 24682, 3196, 1388, 236772, 135717, 573, 16319, 46327, 236764, 607, 9245, 64946, 532, 25260, 18567, 236761, 21284, 611, 1133, 786, 531, 8430, 3530, 4889, 1003, 1027, 2931, 4467, 1699, 506, 2587, 3004, 23680, 5904, 568, 236766, 236770, 236779, 236770, 236779, 42204, 236768, 531, 1601, 96820, 822, 5313, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 52060, 8797, 10654, 73590, 4025, 1339, 95715, 573, 1061, 25260, 236786, 34736, 3213, 2338, 692, 236858, 560, 1010, 16319, 38268, 36513, 532, 25260, 2780, 15743, 236761, 28344, 611, 1161, 506, 566, 236770, 236779, 236770, 236779, 42204, 5904, 580, 506, 10654, 73590, 4467, 3104, 568, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 236786, 3947, 236772, 500, 4443, 236772, 35896, 236772, 561, 95715, 236768, 531, 974, 9813, 8283, 1003, 910, 12524, 6607, 532, 38268, 7444, 36453, 236881, 564, 1202, 72320, 1003, 28172, 2528, 26931, 236764, 2487, 47351, 573, 5117, 15412, 236764, 532, 1027, 9800, 5405, 1133, 877, 236786, 3274, 236772, 37620, 16183, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4545, 2078, 59526, 236761, 2187, 236786, 164297, 236786, 3947, 236772, 500, 4443, 236772, 35896, 236772, 561, 95715, 827, 623, 3250, 1083, 623, 5047, 73590, 4025, 1339, 95715, 753, 9426, 833, 114475, 34401, 41327, 827, 623, 3955, 1083, 3714, 119312, 236779, 110639, 1083, 3714, 66414, 236779, 13858, 236779, 236745, 2278, 1083, 3714, 7777, 1083, 623, 206240, 236772, 4647, 2135, 22817, 19541, 580, 25260, 42433, 236764, 38268, 7444, 46327, 236764, 532, 18538, 2780, 15743, 10498, 623, 48578, 1083, 623, 8554, 236743, 236800, 236810, 3272, 810, 2299, 827, 623, 19001, 1083, 623, 236800, 236772, 236812, 3885, 827, 623, 61823, 236779, 11607, 1083, 623, 52531, 236940, 3947, 500, 4443, 236761, 2187, 23179, 623, 28734, 236779, 18892, 1083, 3714, 66746, 236779, 96125, 1083, 11058, 236774, 754, 34401, 10353, 6940, 13768, 568, 9322, 3510, 236743, 236825, 236772, 236828, 22730, 623, 175153, 212044, 14419, 568, 9322, 3510, 236743, 236819, 236772, 236770, 236778, 22730, 623, 99034, 100887, 53712, 15316, 14419, 568, 2663, 18592, 7621, 236768, 14255, 623, 14383, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 236775, 5237, 623, 236745, 754, 236779, 11138, 236779, 12549, 1083, 3714, 21853, 1083, 11058, 84585, 11877, 568, 66414, 2802, 1186, 22730, 623, 236796, 123628, 4892, 2304, 568, 1508, 236772, 66414, 607, 9841, 236768, 14255, 623, 171971, 236779, 9846, 1083, 11058, 157802, 939, 205895, 20874, 827, 623, 165622, 7642, 42433, 827, 623, 236855, 77633, 6426, 15412, 4106, 14255, 623, 192941, 1083, 3714, 28213, 24438, 236779, 12549, 1083, 1847, 236764, 623, 17178, 236779, 2543, 236779, 67299, 1083, 623, 236771, 236761, 236778, 7635, 531, 1689, 38268, 7444, 2433, 236775, 5237, 623, 2092, 236779, 187499, 1083, 1847, 236764, 623, 10494, 236779, 143195, 1083, 236743, 236812, 236764, 623, 21052, 1083, 3714, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6386, 1083, 623, 5047, 73590, 4025, 1339, 95715, 8096, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 23583, 699, 506, 10654, 73590, 4025, 1339, 95715, 3104, 531, 1894, 822, 25260, 18481, 2135, 7946, 236787, 108, 1018, 164003, 41327, 573, 28043, 1018, 138, 107, 236772, 5213, 227042, 12219, 170103, 1018, 138, 107, 138, 236772, 30235, 236787, 59988, 42433, 236764, 38268, 7444, 46327, 236764, 532, 18538, 2780, 15743, 138, 107, 138, 236772, 61242, 236787, 5827, 531, 236743, 236800, 236810, 3272, 810, 2299, 138, 107, 138, 236772, 49483, 236787, 236743, 236800, 236772, 236812, 3885, 568, 63914, 573, 822, 6647, 4360, 236768, 138, 107, 138, 236772, 66591, 236787, 13948, 4993, 236940, 3947, 500, 4443, 236761, 2187, 568, 6275, 990, 236787, 236743, 236778, 236772, 236800, 1960, 2668, 236768, 138, 108, 1018, 236774, 754, 34401, 13863, 833, 101191, 2139, 1018, 138, 107, 236772, 5213, 11898, 81396, 53712, 1018, 138, 107, 138, 236770, 236761, 5213, 84585, 11877, 1018, 568, 227042, 2802, 1186, 753, 4467, 88423, 5378, 236768, 138, 107, 141, 236772, 49347, 939, 205895, 20874, 607, 137472, 236764, 26235, 17955, 236764, 532, 5442, 8197, 138, 107, 141, 236772, 55325, 7642, 42433, 573, 16074, 18538, 37061, 9935, 138, 107, 138, 236778, 236761, 5213, 236796, 123628, 4892, 2304, 1018, 568, 25864, 236772, 66414, 607, 2196, 9841, 236768, 138, 107, 141, 236772, 24819, 236758, 6426, 15412, 1913, 2708, 38268, 568, 68717, 88810, 236768, 138, 107, 141, 236772, 111886, 236787, 50776, 24438, 15283, 2479, 568, 236771, 236761, 236778, 7635, 699, 12660, 236768, 138, 108, 1018, 42862, 18238, 1018, 138, 107, 236772, 5213, 98993, 48139, 1018, 568, 18700, 657, 870, 42862, 107326, 5457, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 16644, 138, 107, 138, 236772, 623, 236774, 754, 34401, 10353, 6940, 13768, 236775, 568, 45096, 742, 573, 236743, 236810, 594, 11398, 236768, 138, 107, 138, 236772, 623, 175153, 212044, 14419, 236775, 568, 22239, 4916, 236772, 498, 6784, 10886, 10083, 236768, 138, 107, 138, 236772, 70765, 236772, 991, 9144, 4866, 14845, 2487, 573, 35929, 4402, 138, 108, 1018, 4153, 4884, 7918, 1018, 138, 107, 818, 4467, 236789, 236751, 12524, 6607, 3104, 691, 10448, 5261, 236743, 236778, 236771, 236778, 236812, 532, 5132, 110718, 22779, 573, 38268, 7444, 2802, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 59336, 85382, 573, 506, 236743, 236825, 236772, 236828, 11398, 38268, 7444, 16183, 2731, 236881, 138, 107, 236778, 236768, 7179, 36453, 4889, 573, 1027, 3530, 5117, 3548, 236881, 138, 107, 236800, 236768, 11696, 872, 4803, 9800, 10595, 529, 506, 1948, 236881, 106, 107, 105, 2364, 107, 30092, 611, 5091, 236787, 236743, 236770, 236768, 43291, 506, 623, 236774, 754, 34401, 10353, 6940, 13768, 236775, 16183, 2731, 573, 236743, 236810, 594, 107067, 236881, 124205, 506, 36010, 532, 3600, 4916, 236772, 498, 5085, 600, 8913, 607, 65799, 4033, 236743, 236810, 236772, 15843, 236778, 236772, 236770, 568, 101404, 62507, 236787, 12969, 236764, 2778, 236764, 532, 16182, 769, 236743, 236778, 236768, 64063, 768, 506, 44464, 11877, 28172, 38268, 7444, 2802, 143125, 3272, 607, 25028, 3548, 6998, 506, 51247, 2479, 657, 622, 123628, 4892, 2304, 236881, 564, 735, 886, 5117, 1015, 6178, 496, 93837, 532, 2264, 607, 43206, 8487, 8991, 236761, 236743, 236800, 236768, 6890, 566, 236770, 236779, 236770, 236779, 6307, 580, 506, 10654, 73590, 9800, 98889, 3104, 568, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 236768, 531, 18201, 1027, 4803, 10595, 653, 106834, 699, 1032, 45435, 1015, 236789, 560, 13896, 607, 24757, 3272, 236881, 1174, 1093, 1601, 786, 96820, 506, 7946, 33972, 532, 5330, 784, 3272, 740, 6340, 14309, 528, 506, 18481, 5254, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 42862, 107326, 753, 10654, 73590, 4025, 1339, 95715, 827, 623, 7777, 1083, 623, 32343, 1277, 5405, 2440, 38268, 7444, 16183, 6614, 236764, 36453, 26309, 236764, 532, 65799, 4033, 236772, 4647, 5085, 236761, 34980, 106834, 8357, 43206, 236772, 18865, 38268, 7444, 9871, 532, 54472, 573, 25028, 7359, 6998, 51247, 16412, 10498, 623, 19852, 1083, 623, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236800, 236786, 236745, 754, 236772, 11138, 236772, 32781, 236761, 4034, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 3947, 500, 4443, 236761, 2187, 236786, 52531, 236786, 28734, 236772, 130107, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 66850, 1083, 78493, 6386, 1083, 623, 166339, 630, 1126, 236743, 236810, 594, 32298, 37607, 827, 623, 1005, 1083, 623, 818, 756, 236774, 754, 34401, 106714, 616, 236789, 8214, 691, 4011, 573, 93494, 18481, 14485, 236761, 1191, 12269, 506, 2780, 4108, 4588, 1699, 14228, 84608, 532, 13762, 7626, 8651, 753, 5934, 1822, 573, 99255, 38600, 9332, 1263, 3714, 6386, 1083, 623, 45344, 587, 1126, 10624, 9426, 44396, 827, 623, 1005, 1083, 623, 39986, 98509, 1023, 5117, 607, 496, 93837, 684, 6655, 496, 24282, 33398, 5058, 657, 38268, 36513, 236761, 226978, 34332, 568, 33828, 236772, 179051, 13917, 33640, 236764, 41686, 30359, 26309, 236768, 2487, 3324, 2864, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 531, 96820, 822, 6995, 236787, 108, 1018, 236770, 236761, 236743, 236810, 594, 32298, 236772, 178329, 114475, 34401, 10353, 6940, 23195, 1018, 138, 107, 22515, 580, 72391, 10595, 532, 65799, 4033, 236743, 236810, 236772, 15843, 236778, 236772, 236770, 8443, 236787, 138, 107, 236772, 5213, 205266, 174208, 53121, 44635, 623, 1045, 59532, 236786, 230982, 236786, 893, 129998, 616, 236775, 607, 623, 14081, 236772, 26427, 236786, 36502, 236772, 236744, 20474, 236786, 61904, 616, 236775, 138, 107, 236772, 5213, 54968, 236772, 2791, 140165, 53121, 138, 107, 138, 236772, 8600, 99255, 2780, 4108, 8651, 607, 8675, 34624, 568, 236744, 236761, 236759, 1126, 167805, 56758, 236764, 892, 67141, 5442, 170337, 1365, 236768, 138, 107, 138, 236772, 6890, 204291, 236772, 64555, 17054, 531, 2016, 5663, 2780, 4108, 21896, 580, 8521, 19059, 138, 107, 138, 236772, 114475, 34401, 2991, 737, 10394, 35605, 236787, 623, 11823, 236743, 236800, 8075, 600, 9039, 6485, 236764, 236743, 236778, 600, 9039, 1032, 8075, 236775, 138, 107, 236772, 5213, 88400, 53121, 19291, 4988, 3606, 2780, 21896, 1699, 44830, 529, 2263, 5557, 568, 18700, 528, 506, 98889, 236768, 108, 1018, 236778, 236761, 44464, 11877, 111886, 125145, 1018, 138, 107, 4663, 72391, 106834, 532, 4467, 5405, 236787, 138, 107, 236772, 5213, 87828, 1247, 59017, 53121, 138, 107, 138, 236772, 71808, 33398, 5058, 2487, 573, 3272, 1699, 122082, 568, 4881, 577, 32848, 657, 38268, 7444, 1984, 236768, 138, 107, 138, 236772, 18982, 4122, 528, 43206, 236772, 18865, 44162, 8403, 568, 22239, 7426, 30916, 532, 12010, 20874, 236768, 138, 107, 236772, 5213, 82755, 933, 12730, 53121, 138, 107, 138, 236772, 59461, 236772, 179051, 13917, 33640, 532, 32581, 19161, 37304, 2487, 3324, 2864, 138, 107, 138, 236772, 623, 236774, 754, 34401, 52973, 236775, 2948, 3847, 877, 236772, 37620, 531, 6439, 43206, 66342, 138, 107, 138, 236772, 53399, 57416, 4993, 236940, 3947, 500, 4443, 236761, 2187, 236743, 236778, 5695, 4487, 531, 28913, 54472, 108, 1018, 236800, 236761, 194698, 31727, 699, 37607, 107326, 11338, 1018, 138, 107, 3503, 106834, 573, 24757, 20503, 236787, 138, 107, 236772, 5213, 62554, 2109, 53121, 138, 107, 138, 71510, 62859, 506, 2780, 4108, 4588, 607, 14228, 31929, 21896, 1271, 1581, 1041, 172480, 3272, 126881, 2778, 4921, 9332, 236829, 138, 107, 138, 236964, 77024, 630, 1126, 236743, 236810, 594, 32298, 37607, 138, 107, 236772, 5213, 902, 3067, 1952, 53121, 138, 107, 138, 71510, 39986, 6111, 496, 24282, 38983, 531, 1023, 62913, 33398, 2433, 573, 3272, 1015, 9225, 236789, 236745, 21332, 17240, 147698, 138, 107, 138, 236964, 13108, 587, 1126, 10624, 9426, 44396, 138, 108, 818, 98889, 3104, 691, 10448, 528, 5261, 236743, 236778, 236771, 236778, 236812, 532, 5132, 110718, 7426, 26309, 573, 38268, 7444, 22824, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 43550, 496, 5498, 7426, 10368, 573, 506, 43206, 236772, 46443, 5117, 236881, 138, 107, 236778, 236768, 8600, 496, 60218, 529, 3149, 2135, 7946, 6667, 2721, 580, 4467, 6035, 236881, 138, 107, 236800, 236768, 9100, 38268, 17046, 28494, 573, 12567, 939, 205895, 10202, 15412, 2782, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 506, 7384, 171562, 5796, 15519, 532, 1202, 531, 16422, 607, 1023, 1689, 36075, 236764, 15632, 15786, 123650, 236761, 28344, 611, 1171, 2426, 506, 1873, 2430, 236789, 236751, 8781, 531, 1460, 837, 2544, 5853, 692, 735, 580, 2129, 573, 1091, 236881, 9920, 692, 735, 600, 236764, 564, 1202, 506, 2544, 236789, 236751, 9813, 1938, 2440, 1960, 4981, 236764, 532, 1299, 496, 1694, 529, 910, 5158, 6951, 834, 564, 740, 12964, 24564, 13616, 37404, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 194626, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236832, 236828, 236819, 236771, 236770, 827, 623, 6774, 1083, 623, 37276, 236779, 150869, 236940, 4545, 91428, 78660, 236761, 2187, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 827, 623, 61865, 1083, 11058, 167368, 236779, 30533, 827, 623, 5106, 236779, 1364, 49607, 827, 623, 185529, 236779, 194473, 14255, 623, 11622, 236779, 17138, 236779, 502, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 547, 1083, 623, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 827, 623, 12921, 236779, 1201, 1083, 623, 72982, 15786, 123650, 8096, 827, 623, 23019, 236779, 4818, 1083, 623, 5034, 827, 623, 63595, 236779, 7720, 1083, 623, 236812, 236810, 236771, 236771, 2590, 236772, 236812, 236770, 236764, 171562, 236764, 29067, 236743, 236812, 236819, 236828, 236810, 236810, 827, 623, 80040, 1083, 78493, 31003, 236779, 547, 1083, 623, 152085, 236832, 236828, 236819, 236778, 827, 623, 1201, 1083, 623, 65944, 32337, 827, 623, 10639, 1083, 623, 46640, 20167, 8853, 827, 623, 11607, 236779, 6774, 1083, 623, 35304, 957, 236761, 236757, 236940, 236749, 2720, 236761, 2187, 23179, 3714, 31003, 236779, 547, 1083, 623, 152085, 236832, 236828, 236819, 236800, 827, 623, 1201, 1083, 623, 27359, 30641, 827, 623, 10639, 1083, 623, 3500, 44396, 827, 623, 11607, 236779, 6774, 1083, 623, 192246, 236761, 236755, 236940, 236749, 2720, 236761, 2187, 25938, 1604, 623, 236751, 157020, 236779, 43289, 1083, 623, 229448, 827, 623, 5455, 236779, 213812, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 547, 1083, 623, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 827, 623, 23019, 236779, 4818, 1083, 623, 14009, 827, 623, 80040, 1083, 78493, 31003, 236779, 547, 1083, 623, 152085, 236812, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 65944, 32337, 827, 623, 10639, 1083, 623, 46640, 98916, 44396, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 4818, 1083, 623, 5034, 23179, 3714, 31003, 236779, 547, 1083, 623, 152085, 236812, 236810, 236825, 236832, 236819, 827, 623, 1201, 1083, 623, 27359, 30641, 827, 623, 10639, 1083, 623, 3500, 74812, 12062, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 4818, 1083, 623, 5034, 23179, 3714, 31003, 236779, 547, 1083, 623, 152085, 236812, 236810, 236825, 236828, 236771, 827, 623, 1201, 1083, 623, 109816, 4556, 827, 623, 10639, 1083, 623, 218799, 6824, 8853, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236832, 236772, 236778, 236771, 827, 623, 4818, 1083, 623, 5034, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 15632, 15786, 123650, 8096, 568, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 1473, 108, 1018, 28534, 20303, 53121, 107, 236772, 28553, 7343, 236787, 15632, 15786, 123650, 8096, 107, 236772, 7449, 18365, 236787, 23531, 107, 236772, 70987, 15874, 236787, 236743, 236812, 236810, 236771, 236771, 2590, 236772, 236812, 236770, 236764, 171562, 236764, 29067, 236743, 236812, 236819, 236828, 236810, 236810, 107, 236772, 225220, 40279, 236787, 61936, 107, 236772, 11662, 111786, 6809, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 108, 1018, 14009, 45547, 53121, 107, 236770, 236761, 21516, 32337, 753, 11493, 98916, 44396, 568, 25142, 236743, 236778, 236771, 236778, 236771, 236768, 107, 236778, 236761, 7502, 30641, 753, 12209, 74812, 12062, 568, 25142, 236743, 236778, 236771, 236770, 236828, 236768, 107, 236800, 236761, 38773, 4556, 753, 77362, 6824, 8853, 568, 25142, 236743, 236778, 236771, 236778, 236778, 236768, 108, 818, 2544, 815, 14038, 5158, 4981, 532, 910, 61936, 54257, 236761, 2343, 1806, 6951, 659, 2487, 573, 24564, 26937, 236761, 38773, 4556, 236789, 236751, 3853, 618, 77362, 6824, 8853, 1149, 577, 6412, 7798, 573, 62257, 24564, 13616, 236761, 13948, 1938, 573, 1239, 6951, 1093, 1202, 531, 577, 4597, 1343, 910, 31459, 12229, 653, 506, 2544, 236789, 236751, 1689, 3662, 13199, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 506, 7384, 171562, 5796, 15519, 532, 1202, 531, 16422, 607, 1023, 1689, 36075, 236764, 15632, 15786, 123650, 236761, 28344, 611, 1171, 2426, 506, 1873, 2430, 236789, 236751, 8781, 531, 1460, 837, 2544, 5853, 692, 735, 580, 2129, 573, 1091, 236881, 9920, 692, 735, 600, 236764, 564, 1202, 506, 2544, 236789, 236751, 9813, 1938, 2440, 1960, 4981, 236764, 532, 1299, 496, 1694, 529, 910, 5158, 6951, 834, 564, 740, 12964, 24564, 13616, 37404, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 194626, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 225686, 236832, 236828, 236819, 236771, 236770, 827, 623, 6774, 1083, 623, 37276, 236779, 150869, 236940, 4545, 91428, 78660, 236761, 2187, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 827, 623, 61865, 1083, 11058, 167368, 236779, 30533, 827, 623, 5106, 236779, 1364, 49607, 827, 623, 185529, 236779, 194473, 14255, 623, 11622, 236779, 17138, 236779, 502, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 547, 1083, 623, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 827, 623, 12921, 236779, 1201, 1083, 623, 72982, 15786, 123650, 8096, 827, 623, 23019, 236779, 4818, 1083, 623, 5034, 827, 623, 63595, 236779, 7720, 1083, 623, 236812, 236810, 236771, 236771, 2590, 236772, 236812, 236770, 236764, 171562, 236764, 29067, 236743, 236812, 236819, 236828, 236810, 236810, 827, 623, 80040, 1083, 78493, 31003, 236779, 547, 1083, 623, 152085, 236832, 236828, 236819, 236778, 827, 623, 1201, 1083, 623, 65944, 32337, 827, 623, 10639, 1083, 623, 46640, 20167, 8853, 827, 623, 11607, 236779, 6774, 1083, 623, 35304, 957, 236761, 236757, 236940, 236749, 2720, 236761, 2187, 23179, 3714, 31003, 236779, 547, 1083, 623, 152085, 236832, 236828, 236819, 236800, 827, 623, 1201, 1083, 623, 27359, 30641, 827, 623, 10639, 1083, 623, 3500, 44396, 827, 623, 11607, 236779, 6774, 1083, 623, 192246, 236761, 236755, 236940, 236749, 2720, 236761, 2187, 25938, 1604, 623, 236751, 157020, 236779, 43289, 1083, 623, 229448, 827, 623, 5455, 236779, 213812, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 547, 1083, 623, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 827, 623, 23019, 236779, 4818, 1083, 623, 14009, 827, 623, 80040, 1083, 78493, 31003, 236779, 547, 1083, 623, 152085, 236812, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 65944, 32337, 827, 623, 10639, 1083, 623, 46640, 98916, 44396, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 4818, 1083, 623, 5034, 23179, 3714, 31003, 236779, 547, 1083, 623, 152085, 236812, 236810, 236825, 236832, 236819, 827, 623, 1201, 1083, 623, 27359, 30641, 827, 623, 10639, 1083, 623, 3500, 74812, 12062, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 4818, 1083, 623, 5034, 23179, 3714, 31003, 236779, 547, 1083, 623, 152085, 236812, 236810, 236825, 236828, 236771, 827, 623, 1201, 1083, 623, 109816, 4556, 827, 623, 10639, 1083, 623, 218799, 6824, 8853, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236832, 236772, 236778, 236771, 827, 623, 4818, 1083, 623, 5034, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 15632, 15786, 123650, 8096, 568, 202777, 236778, 236771, 236778, 236800, 236797, 5153, 1473, 108, 1018, 28534, 20303, 53121, 107, 236772, 28553, 7343, 236787, 15632, 15786, 123650, 8096, 107, 236772, 7449, 18365, 236787, 23531, 107, 236772, 70987, 15874, 236787, 236743, 236812, 236810, 236771, 236771, 2590, 236772, 236812, 236770, 236764, 171562, 236764, 29067, 236743, 236812, 236819, 236828, 236810, 236810, 107, 236772, 225220, 40279, 236787, 61936, 107, 236772, 11662, 111786, 6809, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 108, 1018, 14009, 45547, 53121, 107, 236770, 236761, 21516, 32337, 753, 11493, 98916, 44396, 568, 25142, 236743, 236778, 236771, 236778, 236771, 236768, 107, 236778, 236761, 7502, 30641, 753, 12209, 74812, 12062, 568, 25142, 236743, 236778, 236771, 236770, 236828, 236768, 107, 236800, 236761, 38773, 4556, 753, 77362, 6824, 8853, 568, 25142, 236743, 236778, 236771, 236778, 236778, 236768, 108, 818, 2544, 815, 14038, 5158, 4981, 532, 910, 61936, 54257, 236761, 2343, 1806, 6951, 659, 2487, 573, 24564, 26937, 236761, 38773, 4556, 236789, 236751, 3853, 618, 77362, 6824, 8853, 1149, 577, 6412, 7798, 573, 62257, 24564, 13616, 236761, 13948, 1938, 573, 1239, 6951, 1093, 1202, 531, 577, 4597, 1343, 910, 31459, 12229, 653, 506, 2544, 236789, 236751, 1689, 3662, 13199, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 86661, 236787, 564, 1202, 1601, 31236, 1217, 1623, 6554, 531, 3717, 573, 1041, 14064, 236789, 236751, 23690, 3549, 236761, 669, 2978, 563, 236743, 236770, 236778, 6172, 5777, 236764, 236743, 236770, 236771, 6172, 1440, 236764, 532, 236743, 236828, 6172, 1494, 236761, 669, 6554, 564, 1461, 8787, 531, 2890, 236743, 236800, 236810, 236771, 6281, 6172, 810, 51240, 236764, 840, 564, 236789, 236757, 6995, 531, 776, 1156, 50328, 573, 496, 30918, 564, 236789, 236757, 25470, 236761, 3199, 611, 9279, 506, 4453, 2886, 564, 236789, 859, 1202, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 13503, 236779, 65910, 1083, 236743, 236800, 236810, 236778, 236783, 106, 107, 105, 4368, 107, 86661, 236764, 506, 2558, 6281, 15339, 529, 506, 11595, 563, 236743, 236800, 236810, 236778, 6281, 6172, 236761, 5612, 611, 236789, 500, 14253, 1156, 50328, 236764, 611, 236789, 859, 1202, 531, 2890, 5213, 236832, 236771, 236812, 6281, 6172, 1018, 528, 2558, 236761, 236743, 108, 7795, 51240, 13526, 236743, 236800, 236810, 236771, 6281, 6172, 236764, 834, 236787, 107, 236832, 236771, 236812, 108140, 236743, 236800, 236810, 236771, 67081, 5213, 236778, 236761, 236771, 236770, 39813, 1018, 108, 10081, 6554, 563, 11082, 5463, 528, 3697, 39813, 236764, 611, 236789, 859, 1202, 531, 4886, 872, 531, 5213, 236800, 39813, 1018, 531, 5330, 2587, 12606, 573, 822, 30918, 236761, 106, 107, 105, 2364, 107, 86661, 236787, 29202, 496, 9641, 236764, 564, 1751, 993, 236789, 236751, 496, 18932, 1590, 236761, 3026, 564, 6950, 614, 623, 64066, 3549, 2098, 564, 9655, 1186, 886, 3549, 568, 1437, 236743, 236770, 236778, 236789, 5777, 684, 236743, 236828, 236789, 1494, 886, 236768, 1271, 711, 784, 2390, 11595, 236761, 28344, 611, 110270, 606, 1699, 1164, 600, 3161, 3549, 607, 1156, 50328, 236881, 669, 3303, 3890, 529, 236743, 236800, 39813, 11906, 21191, 573, 496, 30918, 580, 886, 3549, 236761, 3792, 786, 1281, 506, 20843, 2886, 236888, 106, 107, 105, 4368, 107, 86661, 236764, 611, 236789, 500, 11087, 1447, 236888, 3792, 236789, 236751, 110270, 606, 573, 1164, 506, 3161, 23690, 3549, 236787, 108, 236770, 236761, 5213, 29557, 2433, 66515, 236743, 236770, 236778, 236789, 568, 2690, 236768, 15666, 236743, 236828, 236789, 568, 4603, 236768, 578, 5213, 236819, 236825, 18288, 12110, 1018, 138, 107, 236778, 236761, 5213, 11634, 50328, 66515, 236743, 236819, 236825, 15666, 236743, 236778, 578, 5213, 236770, 236819, 236778, 18288, 12110, 2558, 1018, 138, 107, 236800, 236761, 5213, 50672, 4354, 66515, 236743, 236770, 236819, 236778, 108140, 236743, 236800, 236810, 236771, 18288, 12110, 236786, 134563, 67081, 5213, 236771, 236761, 236810, 236810, 39813, 1018, 108, 10081, 6554, 563, 4781, 5463, 528, 3697, 39813, 236764, 611, 236858, 859, 1186, 1202, 5213, 236770, 51240, 1018, 573, 822, 30918, 236761, 1174, 10789, 573, 1156, 50328, 532, 6895, 496, 1944, 11345, 573, 6374, 236772, 11303, 653, 55256, 3739, 236761, 22090, 2480, 1082, 236743, 236800, 39813, 236888, 103453, 106, 107, 105, 2364, 107, 86661, 236787, 7886, 4682, 236888, 4224, 600, 564, 1281, 564, 1186, 1202, 886, 51240, 236764, 1451, 611, 1601, 786, 1586, 1298, 531, 3717, 672, 6554, 16445, 528, 49121, 236764, 16119, 236881, 6890, 506, 3927, 236779, 5930, 5904, 531, 1385, 573, 623, 3912, 2929, 2481, 158166, 37602, 35713, 236775, 528, 1041, 2433, 1271, 564, 236858, 560, 6827, 625, 236858, 236751, 1822, 573, 130235, 532, 1461, 531, 1894, 2263, 11936, 768, 2653, 236761, 3792, 786, 1281, 1144, 3835, 2229, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 3912, 2929, 2481, 158166, 37602, 35713, 827, 623, 6457, 1083, 623, 206082, 56972, 833, 35713, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 236786, 134563, 827, 623, 56905, 1083, 623, 902, 2862, 23179, 3714, 5930, 236779, 1201, 1083, 623, 3912, 2929, 2481, 158166, 37602, 35713, 827, 623, 6457, 1083, 623, 151053, 6863, 71868, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 74560, 18977, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 827, 623, 9707, 1083, 6610, 236812, 236778, 236761, 236810, 236771, 236786, 134563, 827, 623, 56905, 1083, 623, 902, 2862, 568, 21028, 10489, 16291, 104960, 623, 14210, 1083, 623, 22186, 11936, 2729, 528, 236772, 6457, 35312, 236761, 21284, 611, 1133, 1601, 607, 15232, 653, 3385, 33772, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2263, 3835, 573, 2199, 2929, 2481, 158166, 37602, 35713, 528, 49121, 236764, 16119, 236787, 108, 236770, 236761, 5213, 206082, 56972, 833, 35713, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 6400, 842, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 138, 107, 139, 247068, 14584, 236787, 609, 236800, 236819, 236761, 236819, 236819, 236786, 134563, 138, 107, 139, 240732, 75669, 236787, 799, 2862, 138, 108, 236778, 236761, 5213, 151053, 6863, 71868, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 74560, 18977, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 138, 107, 139, 247068, 14584, 236787, 609, 236812, 236778, 236761, 236810, 236771, 236786, 134563, 138, 107, 139, 195096, 75669, 236787, 799, 2862, 568, 21028, 10489, 236768, 138, 108, 1018, 211199, 66515, 49121, 56972, 5469, 506, 1791, 3385, 532, 12765, 496, 2263, 1960, 236888, 21284, 611, 1133, 15232, 531, 3477, 4762, 653, 1601, 22020, 6527, 3342, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 86661, 236787, 564, 1202, 1601, 31236, 1217, 1623, 6554, 531, 3717, 573, 1041, 14064, 236789, 236751, 23690, 3549, 236761, 669, 2978, 563, 236743, 236770, 236778, 6172, 5777, 236764, 236743, 236770, 236771, 6172, 1440, 236764, 532, 236743, 236828, 6172, 1494, 236761, 669, 6554, 564, 1461, 8787, 531, 2890, 236743, 236800, 236810, 236771, 6281, 6172, 810, 51240, 236764, 840, 564, 236789, 236757, 6995, 531, 776, 1156, 50328, 573, 496, 30918, 564, 236789, 236757, 25470, 236761, 3199, 611, 9279, 506, 4453, 2886, 564, 236789, 859, 1202, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 13503, 236779, 65910, 1083, 236743, 236800, 236810, 236778, 236783, 106, 107, 105, 4368, 107, 86661, 236764, 506, 2558, 6281, 15339, 529, 506, 11595, 563, 236743, 236800, 236810, 236778, 6281, 6172, 236761, 5612, 611, 236789, 500, 14253, 1156, 50328, 236764, 611, 236789, 859, 1202, 531, 2890, 5213, 236832, 236771, 236812, 6281, 6172, 1018, 528, 2558, 236761, 236743, 108, 7795, 51240, 13526, 236743, 236800, 236810, 236771, 6281, 6172, 236764, 834, 236787, 107, 236832, 236771, 236812, 108140, 236743, 236800, 236810, 236771, 67081, 5213, 236778, 236761, 236771, 236770, 39813, 1018, 108, 10081, 6554, 563, 11082, 5463, 528, 3697, 39813, 236764, 611, 236789, 859, 1202, 531, 4886, 872, 531, 5213, 236800, 39813, 1018, 531, 5330, 2587, 12606, 573, 822, 30918, 236761, 106, 107, 105, 2364, 107, 86661, 236787, 29202, 496, 9641, 236764, 564, 1751, 993, 236789, 236751, 496, 18932, 1590, 236761, 3026, 564, 6950, 614, 623, 64066, 3549, 2098, 564, 9655, 1186, 886, 3549, 568, 1437, 236743, 236770, 236778, 236789, 5777, 684, 236743, 236828, 236789, 1494, 886, 236768, 1271, 711, 784, 2390, 11595, 236761, 28344, 611, 110270, 606, 1699, 1164, 600, 3161, 3549, 607, 1156, 50328, 236881, 669, 3303, 3890, 529, 236743, 236800, 39813, 11906, 21191, 573, 496, 30918, 580, 886, 3549, 236761, 3792, 786, 1281, 506, 20843, 2886, 236888, 106, 107, 105, 4368, 107, 86661, 236764, 611, 236789, 500, 11087, 1447, 236888, 3792, 236789, 236751, 110270, 606, 573, 1164, 506, 3161, 23690, 3549, 236787, 108, 236770, 236761, 5213, 29557, 2433, 66515, 236743, 236770, 236778, 236789, 568, 2690, 236768, 15666, 236743, 236828, 236789, 568, 4603, 236768, 578, 5213, 236819, 236825, 18288, 12110, 1018, 138, 107, 236778, 236761, 5213, 11634, 50328, 66515, 236743, 236819, 236825, 15666, 236743, 236778, 578, 5213, 236770, 236819, 236778, 18288, 12110, 2558, 1018, 138, 107, 236800, 236761, 5213, 50672, 4354, 66515, 236743, 236770, 236819, 236778, 108140, 236743, 236800, 236810, 236771, 18288, 12110, 236786, 134563, 67081, 5213, 236771, 236761, 236810, 236810, 39813, 1018, 108, 10081, 6554, 563, 4781, 5463, 528, 3697, 39813, 236764, 611, 236858, 859, 1186, 1202, 5213, 236770, 51240, 1018, 573, 822, 30918, 236761, 1174, 10789, 573, 1156, 50328, 532, 6895, 496, 1944, 11345, 573, 6374, 236772, 11303, 653, 55256, 3739, 236761, 22090, 2480, 1082, 236743, 236800, 39813, 236888, 103453, 106, 107, 105, 2364, 107, 86661, 236787, 7886, 4682, 236888, 4224, 600, 564, 1281, 564, 1186, 1202, 886, 51240, 236764, 1451, 611, 1601, 786, 1586, 1298, 531, 3717, 672, 6554, 16445, 528, 49121, 236764, 16119, 236881, 6890, 506, 3927, 236779, 5930, 5904, 531, 1385, 573, 623, 3912, 2929, 2481, 158166, 37602, 35713, 236775, 528, 1041, 2433, 1271, 564, 236858, 560, 6827, 625, 236858, 236751, 1822, 573, 130235, 532, 1461, 531, 1894, 2263, 11936, 768, 2653, 236761, 3792, 786, 1281, 1144, 3835, 2229, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 3912, 2929, 2481, 158166, 37602, 35713, 827, 623, 6457, 1083, 623, 206082, 56972, 833, 35713, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 236786, 134563, 827, 623, 56905, 1083, 623, 902, 2862, 23179, 3714, 5930, 236779, 1201, 1083, 623, 3912, 2929, 2481, 158166, 37602, 35713, 827, 623, 6457, 1083, 623, 151053, 6863, 71868, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 74560, 18977, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 827, 623, 9707, 1083, 6610, 236812, 236778, 236761, 236810, 236771, 236786, 134563, 827, 623, 56905, 1083, 623, 902, 2862, 568, 21028, 10489, 16291, 104960, 623, 14210, 1083, 623, 22186, 11936, 2729, 528, 236772, 6457, 35312, 236761, 21284, 611, 1133, 1601, 607, 15232, 653, 3385, 33772, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2263, 3835, 573, 2199, 2929, 2481, 158166, 37602, 35713, 528, 49121, 236764, 16119, 236787, 108, 236770, 236761, 5213, 206082, 56972, 833, 35713, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 6400, 842, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 138, 107, 139, 247068, 14584, 236787, 609, 236800, 236819, 236761, 236819, 236819, 236786, 134563, 138, 107, 139, 240732, 75669, 236787, 799, 2862, 138, 108, 236778, 236761, 5213, 151053, 6863, 71868, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 74560, 18977, 236764, 49121, 236764, 16119, 236743, 236832, 236800, 236771, 236810, 236828, 138, 107, 139, 247068, 14584, 236787, 609, 236812, 236778, 236761, 236810, 236771, 236786, 134563, 138, 107, 139, 195096, 75669, 236787, 799, 2862, 568, 21028, 10489, 236768, 138, 108, 1018, 211199, 66515, 49121, 56972, 5469, 506, 1791, 3385, 532, 12765, 496, 2263, 1960, 236888, 21284, 611, 1133, 15232, 531, 3477, 4762, 653, 1601, 22020, 6527, 3342, 236881, 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, 2263, 4749, 528, 40477, 28417, 236764, 26516, 4596, 531, 13217, 532, 11321, 1702, 573, 506, 2148, 2297, 236761, 6890, 506, 3927, 236779, 18582, 5904, 607, 4563, 1076, 531, 623, 181061, 28417, 236764, 29297, 236775, 532, 12669, 623, 77418, 236775, 532, 623, 37939, 2913, 3056, 22282, 77372, 4749, 600, 1451, 3371, 786, 607, 2263, 11421, 653, 9226, 9780, 573, 3435, 31877, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 181061, 28417, 26762, 7803, 39405, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 7125, 1083, 623, 181061, 28417, 4085, 9519, 236764, 236743, 236770, 236778, 236800, 6400, 842, 827, 623, 7777, 1083, 623, 142031, 1280, 6478, 607, 2263, 45168, 532, 3207, 67172, 24048, 13726, 3399, 2913, 236761, 49308, 28231, 607, 11421, 573, 1237, 1610, 12434, 10498, 623, 27975, 1083, 11058, 77418, 827, 623, 37939, 2913, 14255, 623, 11607, 1083, 623, 181061, 28417, 14822, 7124, 23179, 3714, 1201, 1083, 623, 50613, 1108, 28372, 11493, 7607, 5407, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236819, 827, 623, 2289, 1083, 623, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236812, 236787, 236771, 236771, 8711, 827, 623, 7125, 1083, 623, 50613, 1108, 28372, 4556, 236764, 236743, 236812, 236810, 236825, 20690, 18977, 827, 623, 7777, 1083, 623, 17399, 32545, 573, 861, 3399, 2913, 5699, 18482, 2263, 45168, 236761, 56802, 531, 3371, 607, 9226, 9780, 573, 30918, 5699, 10498, 623, 27975, 1083, 11058, 77418, 827, 623, 37939, 2913, 14255, 623, 11607, 1083, 623, 69654, 9630, 5796, 26762, 7803, 10765, 23179, 3714, 1201, 1083, 623, 155063, 11849, 36468, 61804, 12142, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236832, 827, 623, 2289, 1083, 623, 236825, 236787, 236800, 236771, 8711, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 7125, 1083, 623, 181061, 28417, 13826, 127849, 827, 623, 7777, 1083, 623, 39047, 684, 10969, 45168, 580, 4532, 3399, 1702, 15067, 236761, 6531, 236772, 5106, 44773, 607, 2263, 11421, 532, 18270, 10498, 623, 27975, 1083, 11058, 77418, 14255, 623, 11607, 1083, 623, 155063, 36468, 11032, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 13217, 532, 11321, 1702, 4749, 528, 40477, 28417, 532, 14942, 4106, 600, 8913, 607, 822, 2142, 528, 18024, 607, 11421, 532, 9226, 9780, 236787, 108, 236770, 236761, 5213, 181061, 28417, 26762, 7803, 39405, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 1109, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 4085, 9519, 236764, 236743, 236770, 236778, 236800, 6400, 842, 138, 107, 139, 236772, 5213, 9473, 53121, 112200, 6478, 607, 45168, 236764, 3207, 67172, 236764, 532, 506, 40477, 28417, 14822, 7124, 236761, 49308, 28231, 573, 1237, 1610, 12434, 7760, 236761, 138, 107, 139, 236772, 5213, 11431, 53121, 40477, 28417, 14822, 7124, 138, 108, 236778, 236761, 5213, 50613, 1108, 28372, 11493, 7607, 5407, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 1109, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236812, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 7940, 1108, 28372, 4556, 236764, 236743, 236812, 236810, 236825, 20690, 18977, 568, 182119, 7940, 1108, 236764, 29297, 236768, 138, 107, 139, 236772, 5213, 9473, 53121, 7803, 32545, 573, 861, 18783, 607, 28501, 9630, 5796, 26762, 7803, 10765, 236761, 147635, 2203, 13859, 7760, 607, 9226, 9780, 236761, 138, 108, 236800, 236761, 5213, 155063, 11849, 36468, 61804, 12142, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 1109, 236743, 236825, 236787, 236800, 236771, 8711, 753, 236743, 236828, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 13826, 127849, 138, 107, 139, 236772, 5213, 9473, 53121, 23759, 580, 4532, 3399, 1702, 15067, 6641, 684, 496, 44773, 607, 2263, 11421, 532, 18270, 236761, 142713, 684, 506, 26516, 36468, 11032, 236761, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 669, 40477, 28417, 26762, 7803, 39405, 568, 30651, 236743, 236770, 236778, 236768, 532, 61804, 12142, 568, 30651, 236743, 236778, 236832, 236768, 659, 1346, 5467, 32769, 607, 822, 4563, 532, 13859, 7675, 236761, 138, 107, 236772, 669, 7940, 1108, 2460, 568, 30651, 236743, 236770, 236819, 236768, 563, 528, 496, 38477, 3207, 840, 5132, 14481, 30918, 2203, 7760, 236761, 138, 107, 236772, 76217, 855, 531, 506, 19722, 9456, 531, 9128, 15830, 573, 31877, 5699, 653, 33000, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 11327, 919, 7760, 573, 18024, 607, 2263, 11421, 528, 40477, 28417, 236761, 28344, 611, 3927, 573, 16038, 1610, 41550, 236764, 15707, 47229, 236764, 653, 1237, 1610, 35490, 528, 40477, 28417, 532, 28501, 9630, 5796, 573, 506, 2148, 1806, 3794, 1699, 506, 3927, 236779, 18582, 5904, 236881, 6890, 12669, 1133, 623, 661, 827, 623, 236757, 1762, 827, 623, 26781, 827, 532, 623, 50771, 14680, 236775, 531, 1586, 4749, 1298, 564, 2473, 2874, 11421, 7467, 528, 31035, 67529, 236761, 22282, 77372, 4749, 600, 11719, 3399, 15430, 653, 11690, 35490, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 181061, 28417, 11493, 147635, 7879, 45897, 2865, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 181061, 28417, 4085, 4556, 827, 623, 10618, 1083, 623, 236757, 1762, 827, 623, 7777, 1083, 623, 142031, 1280, 11690, 30918, 11381, 2460, 38564, 2263, 11421, 532, 10465, 531, 1702, 496, 1237, 1610, 11764, 28448, 3399, 15459, 221476, 3714, 1201, 1083, 623, 69654, 9630, 4085, 4585, 13944, 236787, 103157, 204261, 847, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236832, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 69654, 9630, 4085, 48630, 25628, 9252, 827, 623, 10618, 1083, 623, 50771, 14680, 827, 623, 7777, 1083, 623, 164334, 15707, 67163, 18482, 11421, 68916, 528, 31035, 9726, 236772, 10494, 4146, 236764, 607, 3892, 54233, 532, 28231, 7760, 221476, 3714, 1201, 1083, 623, 61549, 842, 1833, 833, 7607, 18605, 15895, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236771, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 818, 55463, 11109, 116207, 209472, 19871, 827, 623, 10618, 1083, 623, 26781, 827, 623, 7777, 1083, 623, 15413, 774, 11690, 19520, 529, 184123, 35490, 66051, 1610, 532, 13217, 236764, 607, 22765, 11421, 2487, 573, 1982, 13859, 18701, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1610, 236772, 41889, 4749, 528, 40477, 28417, 532, 28501, 9630, 5796, 600, 2729, 7760, 531, 3371, 607, 11421, 573, 31035, 67529, 236787, 108, 236770, 236761, 5213, 181061, 28417, 11493, 147635, 7879, 45897, 2865, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 4085, 4556, 138, 107, 139, 236772, 5213, 9473, 53121, 112200, 11690, 30918, 11381, 38564, 2263, 11421, 532, 10465, 236761, 5890, 21366, 528, 25470, 496, 1237, 1610, 11764, 28448, 3399, 15459, 236761, 138, 107, 139, 236772, 5213, 15354, 53121, 11493, 15430, 236764, 4916, 236772, 498, 13859, 236761, 138, 108, 236778, 236761, 5213, 69654, 9630, 4085, 4585, 13944, 236787, 103157, 204261, 847, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6243, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236810, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 28501, 9630, 4085, 48630, 25628, 9252, 138, 107, 139, 236772, 5213, 9473, 53121, 59797, 15707, 67163, 18482, 11421, 68916, 528, 31035, 9726, 236772, 10494, 4146, 236764, 607, 3892, 54233, 532, 28231, 236761, 138, 107, 139, 236772, 5213, 15354, 53121, 103157, 1610, 236764, 8325, 28231, 236761, 138, 108, 236800, 236761, 5213, 61549, 842, 1833, 833, 7607, 18605, 15895, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6384, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236825, 236787, 236800, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 669, 55463, 11109, 116207, 209472, 19871, 138, 107, 139, 236772, 5213, 9473, 53121, 46586, 19520, 529, 184123, 35490, 66051, 1610, 532, 13217, 236761, 193679, 11421, 2487, 573, 13859, 18701, 236761, 138, 107, 139, 236772, 5213, 15354, 53121, 165973, 1762, 236786, 97748, 1762, 19549, 236764, 1982, 8325, 15154, 236761, 138, 108, 1018, 201430, 53121, 138, 107, 236772, 22282, 77372, 506, 5213, 181061, 28417, 147635, 7879, 1018, 573, 2263, 3399, 236772, 5140, 13859, 236761, 138, 107, 236772, 99021, 506, 5213, 69654, 9630, 4085, 4585, 13944, 1018, 532, 5213, 188118, 11109, 2460, 1018, 531, 3371, 607, 11421, 68916, 528, 31035, 22888, 236761, 138, 107, 236772, 13948, 40477, 28417, 14822, 7124, 653, 28501, 9630, 5796, 14822, 12522, 573, 12496, 580, 2460, 4889, 653, 4767, 7760, 236761, 138, 108, 236829, 10282, 236787, 77151, 659, 9456, 618, 236743, 236778, 236771, 236778, 236800, 528, 506, 5904, 3072, 237028, 41253, 1873, 1051, 15830, 607, 54213, 653, 2426, 573, 53552, 4749, 528, 236743, 236778, 236771, 236778, 236810, 9603, 106, 107, 105, 2364, 107, 236777, 14275, 1070, 529, 506, 2460, 14069, 964, 699, 236743, 236778, 236771, 236778, 236800, 236761, 28344, 611, 544, 236772, 4256, 573, 5213, 236778, 236771, 236778, 236810, 1018, 14069, 1699, 506, 1638, 13138, 236881, 6542, 236764, 1451, 611, 10916, 3927, 573, 4749, 19240, 531, 506, 5213, 181061, 28417, 14822, 7124, 1018, 653, 5213, 69654, 9630, 5796, 14822, 12522, 1018, 531, 5330, 901, 236858, 500, 5158, 532, 7798, 573, 672, 1051, 236881, 564, 236858, 236753, 2765, 531, 3371, 607, 54213, 5467, 768, 2653, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5106, 236779, 1201, 1083, 623, 181061, 28417, 14822, 7124, 8715, 147635, 15467, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 181061, 28417, 4085, 4556, 827, 623, 10618, 1083, 623, 661, 236764, 236757, 1762, 827, 623, 11607, 1083, 623, 949, 4966, 508, 14865, 236761, 2187, 827, 623, 4818, 1083, 623, 5034, 23179, 3714, 5106, 236779, 1201, 1083, 623, 69654, 9630, 5796, 32462, 151945, 12142, 236787, 5785, 4585, 19651, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 7125, 1083, 623, 69654, 9630, 4085, 13826, 827, 623, 10618, 1083, 623, 50771, 14680, 236764, 661, 827, 623, 11607, 1083, 623, 2942, 1364, 14865, 236761, 2187, 827, 623, 4818, 1083, 623, 87877, 23179, 3714, 5106, 236779, 1201, 1083, 623, 79262, 20143, 529, 506, 15141, 1296, 236787, 16175, 60024, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 7125, 1083, 623, 69654, 9630, 5796, 14822, 12522, 25628, 827, 623, 10618, 1083, 623, 26781, 236764, 661, 827, 623, 11607, 1083, 623, 9849, 1296, 60201, 20143, 236761, 2187, 827, 623, 4818, 1083, 623, 5034, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 69654, 9630, 5796, 236764, 29297, 827, 623, 10618, 1083, 11058, 661, 827, 623, 236757, 1762, 827, 623, 26781, 827, 623, 50771, 14680, 827, 623, 181061, 28417, 14822, 7124, 827, 623, 69654, 9630, 5796, 14822, 12522, 14255, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 127096, 106, 107, 105, 4368, 107, 8291, 659, 5213, 236778, 236771, 236778, 236810, 4749, 1018, 528, 28501, 9630, 5796, 607, 1982, 23948, 531, 506, 5213, 181061, 28417, 14822, 7124, 1018, 532, 5213, 69654, 9630, 5796, 14822, 12522, 125546, 3008, 607, 7760, 573, 8325, 13859, 236787, 138, 108, 7243, 108, 10354, 236743, 236770, 236761, 5213, 181061, 28417, 14822, 7124, 8715, 147635, 15467, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 4085, 4556, 138, 107, 139, 236772, 5213, 12962, 53121, 4585, 236764, 147635, 138, 107, 139, 236772, 5213, 11431, 53121, 870, 949, 4966, 508, 14865, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 949, 4966, 508, 14865, 236761, 2187, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 138, 107, 139, 236772, 5213, 11355, 99021, 53121, 11493, 236772, 41889, 11690, 30918, 11381, 237028, 63914, 573, 18024, 607, 2263, 11421, 532, 24048, 31877, 5699, 236761, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 69654, 9630, 5796, 32462, 151945, 12142, 236787, 5785, 4585, 19651, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5729, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 236772, 5213, 6375, 53121, 28501, 9630, 4085, 13826, 138, 107, 139, 236772, 5213, 12962, 53121, 32462, 15467, 236764, 4585, 138, 107, 139, 236772, 5213, 11431, 53121, 870, 2942, 1364, 14865, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 2942, 1364, 14865, 236761, 2187, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 13810, 8593, 138, 107, 139, 236772, 5213, 11355, 99021, 53121, 94463, 607, 11421, 68916, 528, 4071, 236772, 50771, 532, 31035, 22888, 236761, 4040, 529, 496, 25898, 10028, 15653, 17358, 236761, 138, 108, 7243, 108, 10354, 236743, 236800, 236761, 5213, 79262, 20143, 529, 506, 15141, 1296, 236787, 16175, 60024, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 236772, 5213, 6375, 53121, 28501, 9630, 5796, 14822, 12522, 25628, 138, 107, 139, 236772, 5213, 12962, 53121, 25628, 236764, 4585, 138, 107, 139, 236772, 5213, 11431, 53121, 870, 9849, 1296, 60201, 20143, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 9849, 1296, 60201, 20143, 236761, 2187, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 138, 107, 139, 236772, 5213, 11355, 99021, 53121, 129274, 529, 10969, 11421, 236764, 2440, 1724, 66051, 13217, 532, 1610, 236761, 5890, 2802, 531, 22765, 44100, 236761, 138, 108, 7243, 108, 10354, 12067, 50228, 236787, 138, 107, 236772, 5213, 11431, 9065, 19804, 181141, 53121, 6890, 506, 3847, 9851, 531, 9128, 2460, 4889, 532, 3821, 2142, 528, 13859, 236761, 138, 107, 236772, 5213, 6845, 573, 47203, 53121, 26922, 506, 40477, 28417, 14822, 7124, 532, 28501, 9630, 5796, 14822, 12522, 17909, 573, 4767, 236743, 236778, 236771, 236778, 236810, 14929, 236761, 138, 107, 236772, 5213, 15354, 580, 11493, 31698, 53121, 669, 30918, 14680, 568, 30651, 236743, 236770, 236810, 236768, 532, 9226, 14680, 568, 30902, 236743, 236778, 236778, 236768, 659, 1791, 573, 4916, 236772, 498, 13859, 532, 11690, 5699, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 66582, 43285, 10396, 531, 54213, 236888, 236743, 245838, 248737, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2263, 4749, 528, 40477, 28417, 236764, 26516, 4596, 531, 13217, 532, 11321, 1702, 573, 506, 2148, 2297, 236761, 6890, 506, 3927, 236779, 18582, 5904, 607, 4563, 1076, 531, 623, 181061, 28417, 236764, 29297, 236775, 532, 12669, 623, 77418, 236775, 532, 623, 37939, 2913, 3056, 22282, 77372, 4749, 600, 1451, 3371, 786, 607, 2263, 11421, 653, 9226, 9780, 573, 3435, 31877, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 181061, 28417, 26762, 7803, 39405, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 7125, 1083, 623, 181061, 28417, 4085, 9519, 236764, 236743, 236770, 236778, 236800, 6400, 842, 827, 623, 7777, 1083, 623, 142031, 1280, 6478, 607, 2263, 45168, 532, 3207, 67172, 24048, 13726, 3399, 2913, 236761, 49308, 28231, 607, 11421, 573, 1237, 1610, 12434, 10498, 623, 27975, 1083, 11058, 77418, 827, 623, 37939, 2913, 14255, 623, 11607, 1083, 623, 181061, 28417, 14822, 7124, 23179, 3714, 1201, 1083, 623, 50613, 1108, 28372, 11493, 7607, 5407, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236819, 827, 623, 2289, 1083, 623, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236812, 236787, 236771, 236771, 8711, 827, 623, 7125, 1083, 623, 50613, 1108, 28372, 4556, 236764, 236743, 236812, 236810, 236825, 20690, 18977, 827, 623, 7777, 1083, 623, 17399, 32545, 573, 861, 3399, 2913, 5699, 18482, 2263, 45168, 236761, 56802, 531, 3371, 607, 9226, 9780, 573, 30918, 5699, 10498, 623, 27975, 1083, 11058, 77418, 827, 623, 37939, 2913, 14255, 623, 11607, 1083, 623, 69654, 9630, 5796, 26762, 7803, 10765, 23179, 3714, 1201, 1083, 623, 155063, 11849, 36468, 61804, 12142, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236832, 827, 623, 2289, 1083, 623, 236825, 236787, 236800, 236771, 8711, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 7125, 1083, 623, 181061, 28417, 13826, 127849, 827, 623, 7777, 1083, 623, 39047, 684, 10969, 45168, 580, 4532, 3399, 1702, 15067, 236761, 6531, 236772, 5106, 44773, 607, 2263, 11421, 532, 18270, 10498, 623, 27975, 1083, 11058, 77418, 14255, 623, 11607, 1083, 623, 155063, 36468, 11032, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 13217, 532, 11321, 1702, 4749, 528, 40477, 28417, 532, 14942, 4106, 600, 8913, 607, 822, 2142, 528, 18024, 607, 11421, 532, 9226, 9780, 236787, 108, 236770, 236761, 5213, 181061, 28417, 26762, 7803, 39405, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 1109, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 4085, 9519, 236764, 236743, 236770, 236778, 236800, 6400, 842, 138, 107, 139, 236772, 5213, 9473, 53121, 112200, 6478, 607, 45168, 236764, 3207, 67172, 236764, 532, 506, 40477, 28417, 14822, 7124, 236761, 49308, 28231, 573, 1237, 1610, 12434, 7760, 236761, 138, 107, 139, 236772, 5213, 11431, 53121, 40477, 28417, 14822, 7124, 138, 108, 236778, 236761, 5213, 50613, 1108, 28372, 11493, 7607, 5407, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 1109, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236812, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 7940, 1108, 28372, 4556, 236764, 236743, 236812, 236810, 236825, 20690, 18977, 568, 182119, 7940, 1108, 236764, 29297, 236768, 138, 107, 139, 236772, 5213, 9473, 53121, 7803, 32545, 573, 861, 18783, 607, 28501, 9630, 5796, 26762, 7803, 10765, 236761, 147635, 2203, 13859, 7760, 607, 9226, 9780, 236761, 138, 108, 236800, 236761, 5213, 155063, 11849, 36468, 61804, 12142, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 1109, 236743, 236825, 236787, 236800, 236771, 8711, 753, 236743, 236828, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 13826, 127849, 138, 107, 139, 236772, 5213, 9473, 53121, 23759, 580, 4532, 3399, 1702, 15067, 6641, 684, 496, 44773, 607, 2263, 11421, 532, 18270, 236761, 142713, 684, 506, 26516, 36468, 11032, 236761, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 669, 40477, 28417, 26762, 7803, 39405, 568, 30651, 236743, 236770, 236778, 236768, 532, 61804, 12142, 568, 30651, 236743, 236778, 236832, 236768, 659, 1346, 5467, 32769, 607, 822, 4563, 532, 13859, 7675, 236761, 138, 107, 236772, 669, 7940, 1108, 2460, 568, 30651, 236743, 236770, 236819, 236768, 563, 528, 496, 38477, 3207, 840, 5132, 14481, 30918, 2203, 7760, 236761, 138, 107, 236772, 76217, 855, 531, 506, 19722, 9456, 531, 9128, 15830, 573, 31877, 5699, 653, 33000, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 11327, 919, 7760, 573, 18024, 607, 2263, 11421, 528, 40477, 28417, 236761, 28344, 611, 3927, 573, 16038, 1610, 41550, 236764, 15707, 47229, 236764, 653, 1237, 1610, 35490, 528, 40477, 28417, 532, 28501, 9630, 5796, 573, 506, 2148, 1806, 3794, 1699, 506, 3927, 236779, 18582, 5904, 236881, 6890, 12669, 1133, 623, 661, 827, 623, 236757, 1762, 827, 623, 26781, 827, 532, 623, 50771, 14680, 236775, 531, 1586, 4749, 1298, 564, 2473, 2874, 11421, 7467, 528, 31035, 67529, 236761, 22282, 77372, 4749, 600, 11719, 3399, 15430, 653, 11690, 35490, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 181061, 28417, 11493, 147635, 7879, 45897, 2865, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 181061, 28417, 4085, 4556, 827, 623, 10618, 1083, 623, 236757, 1762, 827, 623, 7777, 1083, 623, 142031, 1280, 11690, 30918, 11381, 2460, 38564, 2263, 11421, 532, 10465, 531, 1702, 496, 1237, 1610, 11764, 28448, 3399, 15459, 221476, 3714, 1201, 1083, 623, 69654, 9630, 4085, 4585, 13944, 236787, 103157, 204261, 847, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236832, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 69654, 9630, 4085, 48630, 25628, 9252, 827, 623, 10618, 1083, 623, 50771, 14680, 827, 623, 7777, 1083, 623, 164334, 15707, 67163, 18482, 11421, 68916, 528, 31035, 9726, 236772, 10494, 4146, 236764, 607, 3892, 54233, 532, 28231, 7760, 221476, 3714, 1201, 1083, 623, 61549, 842, 1833, 833, 7607, 18605, 15895, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236771, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 818, 55463, 11109, 116207, 209472, 19871, 827, 623, 10618, 1083, 623, 26781, 827, 623, 7777, 1083, 623, 15413, 774, 11690, 19520, 529, 184123, 35490, 66051, 1610, 532, 13217, 236764, 607, 22765, 11421, 2487, 573, 1982, 13859, 18701, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1610, 236772, 41889, 4749, 528, 40477, 28417, 532, 28501, 9630, 5796, 600, 2729, 7760, 531, 3371, 607, 11421, 573, 31035, 67529, 236787, 108, 236770, 236761, 5213, 181061, 28417, 11493, 147635, 7879, 45897, 2865, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 4085, 4556, 138, 107, 139, 236772, 5213, 9473, 53121, 112200, 11690, 30918, 11381, 38564, 2263, 11421, 532, 10465, 236761, 5890, 21366, 528, 25470, 496, 1237, 1610, 11764, 28448, 3399, 15459, 236761, 138, 107, 139, 236772, 5213, 15354, 53121, 11493, 15430, 236764, 4916, 236772, 498, 13859, 236761, 138, 108, 236778, 236761, 5213, 69654, 9630, 4085, 4585, 13944, 236787, 103157, 204261, 847, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6243, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236810, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 28501, 9630, 4085, 48630, 25628, 9252, 138, 107, 139, 236772, 5213, 9473, 53121, 59797, 15707, 67163, 18482, 11421, 68916, 528, 31035, 9726, 236772, 10494, 4146, 236764, 607, 3892, 54233, 532, 28231, 236761, 138, 107, 139, 236772, 5213, 15354, 53121, 103157, 1610, 236764, 8325, 28231, 236761, 138, 108, 236800, 236761, 5213, 61549, 842, 1833, 833, 7607, 18605, 15895, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6384, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236825, 236787, 236800, 236771, 8711, 138, 107, 139, 236772, 5213, 6375, 53121, 669, 55463, 11109, 116207, 209472, 19871, 138, 107, 139, 236772, 5213, 9473, 53121, 46586, 19520, 529, 184123, 35490, 66051, 1610, 532, 13217, 236761, 193679, 11421, 2487, 573, 13859, 18701, 236761, 138, 107, 139, 236772, 5213, 15354, 53121, 165973, 1762, 236786, 97748, 1762, 19549, 236764, 1982, 8325, 15154, 236761, 138, 108, 1018, 201430, 53121, 138, 107, 236772, 22282, 77372, 506, 5213, 181061, 28417, 147635, 7879, 1018, 573, 2263, 3399, 236772, 5140, 13859, 236761, 138, 107, 236772, 99021, 506, 5213, 69654, 9630, 4085, 4585, 13944, 1018, 532, 5213, 188118, 11109, 2460, 1018, 531, 3371, 607, 11421, 68916, 528, 31035, 22888, 236761, 138, 107, 236772, 13948, 40477, 28417, 14822, 7124, 653, 28501, 9630, 5796, 14822, 12522, 573, 12496, 580, 2460, 4889, 653, 4767, 7760, 236761, 138, 108, 236829, 10282, 236787, 77151, 659, 9456, 618, 236743, 236778, 236771, 236778, 236800, 528, 506, 5904, 3072, 237028, 41253, 1873, 1051, 15830, 607, 54213, 653, 2426, 573, 53552, 4749, 528, 236743, 236778, 236771, 236778, 236810, 9603, 106, 107, 105, 2364, 107, 236777, 14275, 1070, 529, 506, 2460, 14069, 964, 699, 236743, 236778, 236771, 236778, 236800, 236761, 28344, 611, 544, 236772, 4256, 573, 5213, 236778, 236771, 236778, 236810, 1018, 14069, 1699, 506, 1638, 13138, 236881, 6542, 236764, 1451, 611, 10916, 3927, 573, 4749, 19240, 531, 506, 5213, 181061, 28417, 14822, 7124, 1018, 653, 5213, 69654, 9630, 5796, 14822, 12522, 1018, 531, 5330, 901, 236858, 500, 5158, 532, 7798, 573, 672, 1051, 236881, 564, 236858, 236753, 2765, 531, 3371, 607, 54213, 5467, 768, 2653, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5106, 236779, 1201, 1083, 623, 181061, 28417, 14822, 7124, 8715, 147635, 15467, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 181061, 28417, 4085, 4556, 827, 623, 10618, 1083, 623, 661, 236764, 236757, 1762, 827, 623, 11607, 1083, 623, 949, 4966, 508, 14865, 236761, 2187, 827, 623, 4818, 1083, 623, 5034, 23179, 3714, 5106, 236779, 1201, 1083, 623, 69654, 9630, 5796, 32462, 151945, 12142, 236787, 5785, 4585, 19651, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 7125, 1083, 623, 69654, 9630, 4085, 13826, 827, 623, 10618, 1083, 623, 50771, 14680, 236764, 661, 827, 623, 11607, 1083, 623, 2942, 1364, 14865, 236761, 2187, 827, 623, 4818, 1083, 623, 87877, 23179, 3714, 5106, 236779, 1201, 1083, 623, 79262, 20143, 529, 506, 15141, 1296, 236787, 16175, 60024, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 7125, 1083, 623, 69654, 9630, 5796, 14822, 12522, 25628, 827, 623, 10618, 1083, 623, 26781, 236764, 661, 827, 623, 11607, 1083, 623, 9849, 1296, 60201, 20143, 236761, 2187, 827, 623, 4818, 1083, 623, 5034, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 69654, 9630, 5796, 236764, 29297, 827, 623, 10618, 1083, 11058, 661, 827, 623, 236757, 1762, 827, 623, 26781, 827, 623, 50771, 14680, 827, 623, 181061, 28417, 14822, 7124, 827, 623, 69654, 9630, 5796, 14822, 12522, 14255, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 127096, 106, 107, 105, 4368, 107, 8291, 659, 5213, 236778, 236771, 236778, 236810, 4749, 1018, 528, 28501, 9630, 5796, 607, 1982, 23948, 531, 506, 5213, 181061, 28417, 14822, 7124, 1018, 532, 5213, 69654, 9630, 5796, 14822, 12522, 125546, 3008, 607, 7760, 573, 8325, 13859, 236787, 138, 108, 7243, 108, 10354, 236743, 236770, 236761, 5213, 181061, 28417, 14822, 7124, 8715, 147635, 15467, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 236772, 5213, 6375, 53121, 40477, 28417, 4085, 4556, 138, 107, 139, 236772, 5213, 12962, 53121, 4585, 236764, 147635, 138, 107, 139, 236772, 5213, 11431, 53121, 870, 949, 4966, 508, 14865, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 949, 4966, 508, 14865, 236761, 2187, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 138, 107, 139, 236772, 5213, 11355, 99021, 53121, 11493, 236772, 41889, 11690, 30918, 11381, 237028, 63914, 573, 18024, 607, 2263, 11421, 532, 24048, 31877, 5699, 236761, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 69654, 9630, 5796, 32462, 151945, 12142, 236787, 5785, 4585, 19651, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 5729, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 236772, 5213, 6375, 53121, 28501, 9630, 4085, 13826, 138, 107, 139, 236772, 5213, 12962, 53121, 32462, 15467, 236764, 4585, 138, 107, 139, 236772, 5213, 11431, 53121, 870, 2942, 1364, 14865, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 2942, 1364, 14865, 236761, 2187, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 13810, 8593, 138, 107, 139, 236772, 5213, 11355, 99021, 53121, 94463, 607, 11421, 68916, 528, 4071, 236772, 50771, 532, 31035, 22888, 236761, 4040, 529, 496, 25898, 10028, 15653, 17358, 236761, 138, 108, 7243, 108, 10354, 236743, 236800, 236761, 5213, 79262, 20143, 529, 506, 15141, 1296, 236787, 16175, 60024, 1018, 138, 107, 139, 236772, 5213, 3682, 53121, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 236772, 5213, 6375, 53121, 28501, 9630, 5796, 14822, 12522, 25628, 138, 107, 139, 236772, 5213, 12962, 53121, 25628, 236764, 4585, 138, 107, 139, 236772, 5213, 11431, 53121, 870, 9849, 1296, 60201, 20143, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 9849, 1296, 60201, 20143, 236761, 2187, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 138, 107, 139, 236772, 5213, 11355, 99021, 53121, 129274, 529, 10969, 11421, 236764, 2440, 1724, 66051, 13217, 532, 1610, 236761, 5890, 2802, 531, 22765, 44100, 236761, 138, 108, 7243, 108, 10354, 12067, 50228, 236787, 138, 107, 236772, 5213, 11431, 9065, 19804, 181141, 53121, 6890, 506, 3847, 9851, 531, 9128, 2460, 4889, 532, 3821, 2142, 528, 13859, 236761, 138, 107, 236772, 5213, 6845, 573, 47203, 53121, 26922, 506, 40477, 28417, 14822, 7124, 532, 28501, 9630, 5796, 14822, 12522, 17909, 573, 4767, 236743, 236778, 236771, 236778, 236810, 14929, 236761, 138, 107, 236772, 5213, 15354, 580, 11493, 31698, 53121, 669, 30918, 14680, 568, 30651, 236743, 236770, 236810, 236768, 532, 9226, 14680, 568, 30902, 236743, 236778, 236778, 236768, 659, 1791, 573, 4916, 236772, 498, 13859, 532, 11690, 5699, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 66582, 43285, 10396, 531, 54213, 236888, 236743, 245838, 248737, 238178, 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, 18544, 563, 5809, 531, 7107, 77365, 573, 5103, 236761, 1637, 611, 1202, 1601, 607, 234523, 236764, 5091, 2847, 506, 5602, 236789, 236751, 1463, 532, 506, 2886, 2779, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 18544, 563, 5809, 531, 7107, 77365, 573, 5103, 236761, 1637, 611, 1202, 1601, 607, 234523, 236764, 5091, 2847, 506, 5602, 236789, 236751, 1463, 532, 506, 2886, 2779, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 9947, 5295, 7085, 236751, 4867, 2404, 573, 496, 4430, 236761, 9187, 684, 67896, 910, 2307, 4867, 19455, 573, 506, 3068, 1806, 1518, 236761, 1637, 506, 10471, 3877, 3831, 496, 26876, 7003, 236764, 18840, 506, 8216, 2727, 5456, 531, 5608, 46840, 236761, 4298, 236764, 17194, 529, 506, 8216, 2727, 2536, 236764, 8091, 506, 4867, 24781, 531, 13901, 46407, 532, 30990, 236761, 4210, 600, 236764, 3540, 506, 12153, 2434, 236789, 236751, 40895, 532, 15880, 4889, 236761, 13472, 236764, 73981, 4326, 684, 67896, 9947, 236789, 236751, 6782, 4867, 14900, 531, 6054, 768, 625, 236789, 236751, 496, 10385, 6828, 236761, 9996, 2889, 1546, 2918, 32407, 87121, 531, 506, 2148, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 23735, 1083, 623, 78067, 827, 623, 61054, 236779, 29263, 1083, 3714, 33658, 1083, 870, 236778, 236771, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 1604, 623, 83122, 1083, 870, 236800, 236825, 236810, 236761, 236828, 236778, 236764, 236743, 236800, 236819, 236812, 236761, 236800, 236800, 236764, 236743, 236800, 236828, 236800, 236761, 236778, 236819, 1604, 623, 83122, 236779, 45882, 236779, 18223, 1083, 870, 236778, 236810, 236761, 236825, 236764, 236743, 236832, 236761, 236828, 236764, 753, 236778, 236761, 236828, 1604, 623, 2108, 236779, 27163, 1083, 870, 236819, 236819, 236761, 236828, 236764, 236743, 236819, 236819, 236761, 236828, 236770, 236764, 236743, 236828, 236832, 236761, 236771, 1604, 623, 5600, 1083, 870, 236810, 236761, 236825, 236832, 236764, 236743, 236810, 236761, 236828, 236819, 236764, 236743, 236810, 236761, 236770, 236810, 1604, 623, 117468, 236779, 27163, 1083, 870, 236770, 236771, 236828, 236761, 236819, 236812, 236764, 236743, 236770, 236770, 236812, 236761, 236800, 236764, 236743, 236770, 236771, 236812, 236761, 236800, 236810, 1604, 623, 6796, 236779, 52107, 236779, 5101, 1083, 870, 236819, 236810, 236761, 236770, 236778, 236764, 236743, 236770, 236771, 236828, 236761, 236832, 236810, 236764, 236743, 236819, 236828, 236761, 236812, 236800, 1604, 623, 97024, 236779, 14293, 236779, 18223, 1083, 870, 236812, 236770, 236761, 236828, 236764, 236743, 236812, 236800, 236761, 236800, 236764, 236743, 236812, 236812, 236761, 236771, 59117, 623, 27617, 1083, 623, 38556, 827, 623, 6805, 1083, 623, 79568, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52107, 5101, 236779, 1516, 1083, 3714, 25385, 1083, 623, 31319, 5295, 10498, 623, 22037, 1083, 623, 226046, 827, 623, 23735, 1083, 623, 78067, 827, 623, 86303, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236770, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 236779, 52107, 236779, 5101, 1083, 753, 236800, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 236779, 52107, 236779, 5101, 1083, 753, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 52107, 236779, 4177, 1083, 236743, 236810, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236770, 236771, 236810, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 236779, 52107, 236779, 5101, 1083, 753, 236800, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 236779, 52107, 236779, 5101, 1083, 753, 236825, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 52107, 236779, 4177, 1083, 236743, 236810, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236819, 236810, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 236779, 52107, 236779, 5101, 1083, 753, 236778, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 236779, 52107, 236779, 5101, 1083, 753, 236825, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 52107, 236779, 4177, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 104960, 623, 27617, 1083, 623, 38556, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 23735, 1083, 623, 78067, 827, 623, 236750, 23004, 1083, 3714, 4002, 236779, 28350, 1083, 236743, 236770, 236761, 236771, 236810, 236764, 623, 95108, 236779, 1071, 236779, 154044, 1083, 236743, 236770, 236761, 236828, 236778, 236764, 623, 97024, 236779, 14293, 1083, 236743, 236771, 236761, 236812, 236812, 236764, 623, 2108, 236779, 17341, 236779, 14293, 1083, 236743, 236771, 236761, 236778, 236764, 623, 2060, 236779, 498, 236779, 9301, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 2060, 236779, 498, 236779, 154044, 1083, 236743, 236771, 236761, 236810, 236810, 236764, 623, 83122, 236779, 45882, 236779, 236800, 236779, 3704, 236779, 236755, 107384, 1083, 236743, 236771, 236761, 236771, 236828, 1263, 623, 27617, 1083, 623, 38556, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7778, 81011, 1083, 78493, 1201, 1083, 623, 195894, 622, 236761, 9940, 827, 623, 3250, 1083, 623, 45403, 15044, 16186, 827, 623, 5353, 5167, 1083, 623, 17214, 9940, 815, 7779, 618, 9947, 236789, 236751, 11279, 2338, 236743, 236778, 236771, 236770, 236770, 236764, 93145, 4185, 6675, 236764, 1698, 7545, 236764, 532, 11961, 19898, 236761, 22282, 531, 10425, 11279, 236764, 668, 4247, 13616, 618, 86853, 532, 164110, 529, 66724, 27194, 236761, 9940, 815, 5378, 9947, 236789, 236751, 10534, 1131, 861, 9766, 532, 3019, 236764, 79720, 15603, 236764, 24488, 236764, 532, 36453, 10498, 623, 215600, 1083, 3714, 5521, 236779, 44884, 1083, 236743, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 102158, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 14973, 236779, 206455, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 623, 1571, 694, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236770, 236772, 236771, 236828, 236772, 236778, 236812, 827, 623, 33658, 236779, 495, 236779, 10639, 1083, 236743, 236770, 236800, 5237, 3714, 1201, 1083, 623, 150218, 207571, 604, 827, 623, 3250, 1083, 623, 45403, 16906, 16186, 827, 623, 5353, 5167, 1083, 623, 150218, 207571, 604, 815, 1010, 9947, 236789, 236751, 83238, 2338, 236743, 236778, 236771, 236770, 236812, 236764, 15724, 4867, 6995, 236764, 29311, 3381, 236764, 532, 11961, 2913, 236761, 1293, 7539, 4247, 9550, 14396, 13616, 657, 53895, 532, 23570, 33026, 236761, 207571, 604, 815, 1010, 35542, 528, 61232, 9947, 236789, 236751, 5279, 3904, 532, 57429, 7623, 10498, 623, 215600, 1083, 3714, 5521, 236779, 44884, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 102158, 1083, 236743, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 14973, 236779, 206455, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 1083, 236743, 236810, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 1263, 623, 1571, 694, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 827, 623, 33658, 236779, 495, 236779, 10639, 1083, 236743, 236770, 236770, 5237, 3714, 1201, 1083, 623, 217377, 26755, 827, 623, 3250, 1083, 623, 51551, 18748, 5376, 236764, 28553, 833, 6110, 20004, 827, 623, 5353, 5167, 1083, 623, 217377, 26755, 9025, 9947, 236789, 236751, 6369, 236764, 17286, 236764, 532, 4957, 7880, 27768, 236761, 2625, 10438, 9947, 528, 236743, 236778, 236771, 236771, 236832, 532, 815, 4247, 10319, 13616, 528, 11961, 2621, 532, 14143, 236761, 5165, 981, 21132, 580, 1262, 15603, 236764, 21623, 3670, 236764, 532, 3251, 15154, 10498, 623, 215600, 1083, 3714, 5521, 236779, 44884, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236764, 623, 102158, 1083, 236743, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 14973, 236779, 206455, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 1083, 236743, 236778, 236812, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 623, 1571, 694, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236771, 236832, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 33658, 236779, 495, 236779, 10639, 1083, 236743, 236770, 236832, 1807, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61054, 236779, 16602, 1083, 3714, 83122, 236779, 45882, 1083, 3714, 236778, 236771, 236778, 236778, 1083, 623, 236810, 236761, 236825, 70887, 623, 236778, 236771, 236778, 236800, 1083, 623, 236800, 236761, 236778, 70887, 623, 236778, 236771, 236778, 236812, 1083, 9296, 236770, 236761, 236812, 171446, 623, 52107, 236779, 5101, 236779, 22775, 14475, 1083, 3714, 117468, 236779, 52107, 236779, 5101, 1083, 6610, 236770, 236770, 236771, 236761, 236800, 236799, 827, 623, 6796, 236779, 52107, 236779, 5101, 1083, 6610, 236828, 236819, 236761, 236832, 236799, 827, 623, 22775, 14475, 236779, 8318, 1083, 623, 236776, 236772, 23179, 623, 17341, 2109, 236779, 236750, 23004, 1083, 3714, 2108, 236779, 17341, 236779, 14293, 1083, 623, 236778, 236812, 236761, 236770, 70887, 623, 2060, 236779, 498, 236779, 154044, 1083, 623, 236810, 236778, 236761, 236800, 70887, 623, 97024, 236779, 14293, 1083, 623, 236812, 236812, 236761, 236828, 171446, 623, 519, 3445, 236779, 236750, 23004, 1083, 3714, 95108, 236779, 1071, 236779, 154044, 1083, 623, 236770, 236761, 236828, 236781, 827, 623, 21878, 236779, 44384, 1083, 623, 236770, 236812, 236761, 236825, 236781, 23179, 623, 78226, 236779, 61054, 236779, 8318, 1083, 236743, 236828, 236812, 236761, 236825, 236764, 623, 181188, 236779, 86546, 1083, 1847, 1263, 623, 37716, 236779, 86546, 1083, 3714, 16350, 236779, 37716, 1083, 623, 166920, 827, 623, 31443, 236779, 37716, 1083, 623, 26834, 827, 623, 4477, 26633, 236779, 8318, 1083, 236743, 236770, 236778, 236761, 236832, 1807, 106, 107, 105, 4368, 107, 1018, 31319, 5295, 236761, 568, 226046, 236768, 16906, 5554, 36275, 25252, 1018, 108, 1018, 236770, 236761, 9533, 16906, 116589, 568, 236778, 236771, 236778, 236770, 236964, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 236772, 5213, 87093, 53121, 4472, 10487, 657, 609, 236800, 236819, 236812, 236761, 236800, 236800, 236799, 528, 236743, 236778, 236771, 236778, 236778, 236764, 24984, 8427, 531, 609, 236800, 236828, 236800, 236761, 236778, 236819, 236799, 528, 236743, 236778, 236771, 236778, 236800, 15554, 236778, 236761, 236828, 236908, 3877, 769, 138, 107, 236772, 5213, 8233, 30521, 53121, 58357, 2560, 699, 609, 236819, 236819, 236761, 236828, 236770, 236799, 568, 236778, 236771, 236778, 236778, 236768, 531, 609, 236828, 236832, 236761, 236771, 236771, 236799, 568, 236778, 236771, 236778, 236800, 779, 840, 7474, 2787, 236743, 236778, 236771, 236778, 236770, 4535, 236761, 138, 107, 236772, 5213, 93557, 53121, 94655, 531, 609, 236810, 236761, 236770, 236810, 528, 236743, 236778, 236771, 236778, 236800, 699, 609, 236810, 236761, 236828, 236819, 528, 236743, 236778, 236771, 236778, 236778, 236761, 138, 107, 236772, 5213, 15370, 24531, 19179, 53121, 27717, 657, 609, 236819, 236828, 236761, 236812, 236800, 236799, 528, 236743, 236778, 236771, 236778, 236800, 236764, 17674, 35691, 9785, 10471, 225792, 236761, 138, 108, 1018, 236778, 236761, 24531, 19179, 13768, 568, 236778, 236771, 236778, 236770, 236964, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 236772, 5213, 94992, 24531, 19179, 53121, 667, 5879, 41296, 6131, 236819, 236810, 236761, 236770, 236799, 16130, 609, 236770, 236770, 236771, 236761, 236810, 236799, 779, 26453, 16317, 7157, 1960, 6675, 236761, 138, 107, 236772, 5213, 8233, 24531, 14376, 53121, 44771, 7003, 6131, 236800, 236761, 236770, 236799, 16130, 609, 236810, 236761, 236810, 236799, 779, 32427, 46840, 6332, 236761, 138, 108, 1018, 236800, 236761, 16906, 630, 23004, 53121, 138, 107, 236772, 5213, 109048, 2109, 53121, 138, 107, 138, 236772, 38962, 125371, 236787, 236743, 236812, 236812, 236908, 568, 24137, 769, 138, 107, 138, 236772, 5674, 67679, 125371, 236787, 236743, 236778, 236771, 236908, 568, 22468, 236764, 3635, 1679, 699, 4487, 1518, 769, 138, 107, 138, 236772, 17006, 236788, 236787, 236743, 236810, 236810, 236908, 568, 216729, 236764, 17674, 8143, 5279, 1161, 769, 138, 107, 236772, 5213, 164419, 676, 53121, 138, 107, 138, 236772, 59426, 236772, 1071, 236772, 141242, 236787, 236743, 236770, 236761, 236828, 236778, 236781, 568, 114292, 4652, 236764, 78407, 2238, 8216, 27257, 769, 138, 107, 138, 236772, 21632, 85406, 236787, 236743, 236770, 236812, 236761, 236825, 236781, 568, 976, 3678, 4652, 769, 138, 107, 236772, 5213, 83380, 53121, 236743, 236800, 236772, 16431, 34607, 146106, 236787, 236743, 236828, 236908, 568, 30558, 1440, 236772, 6061, 7003, 9785, 236743, 236778, 236771, 236778, 236800, 12372, 769, 138, 108, 1018, 236812, 236761, 15044, 10765, 53121, 138, 107, 236772, 5213, 170728, 53121, 8099, 236772, 1571, 2600, 10319, 236787, 138, 107, 138, 236772, 9902, 9940, 568, 63460, 1473, 236743, 236770, 236800, 1518, 657, 506, 40315, 236764, 2558, 15880, 609, 236770, 236771, 236810, 236792, 236761, 138, 107, 138, 236772, 72566, 207571, 604, 568, 236780, 12041, 1473, 236743, 236770, 236770, 1518, 236764, 609, 236810, 236778, 236761, 236810, 236792, 15880, 236761, 138, 107, 138, 236772, 69067, 26755, 568, 67289, 1473, 236743, 236770, 236832, 1518, 236764, 609, 236778, 236812, 236761, 236778, 236792, 236761, 138, 107, 236772, 5213, 42928, 53121, 30235, 580, 24488, 236764, 15603, 236764, 532, 4185, 10534, 100146, 607, 1440, 236772, 6061, 1550, 236761, 138, 108, 1018, 236810, 236761, 29216, 16906, 95324, 53121, 138, 107, 236772, 5213, 170728, 53121, 623, 122926, 27269, 236775, 10778, 568, 8318, 236787, 236743, 236828, 236812, 236761, 236825, 236786, 236770, 236771, 236771, 769, 138, 107, 236772, 5213, 71398, 29520, 53121, 14533, 6327, 4652, 236764, 21037, 2436, 4652, 568, 4477, 26633, 6317, 236787, 236743, 236770, 236778, 236761, 236832, 769, 138, 107, 236772, 5213, 68058, 14475, 53121, 38641, 24531, 19179, 6131, 236770, 236770, 236771, 236761, 236800, 236799, 236768, 532, 30634, 14475, 27242, 6791, 236776, 236772, 1373, 126226, 35691, 236761, 138, 108, 1018, 30792, 53121, 138, 107, 31319, 7474, 496, 5213, 24137, 6828, 1018, 607, 3188, 46407, 236764, 7644, 8216, 2727, 236764, 532, 9763, 10319, 236761, 5978, 236743, 236778, 236771, 236778, 236800, 10471, 24984, 8427, 236764, 506, 2544, 236858, 236751, 4867, 68378, 236764, 1494, 34759, 236764, 532, 82235, 5279, 25519, 568, 236744, 236761, 236759, 1126, 609, 236819, 236828, 236761, 236812, 236800, 236799, 2196, 8216, 2727, 236768, 46290, 13682, 236761, 669, 8479, 236772, 1071, 236772, 154044, 7232, 62096, 11734, 236764, 840, 6782, 52669, 1894, 1440, 236772, 6061, 11646, 236761, 53399, 618, 496, 5213, 6102, 7046, 1018, 573, 7391, 12985, 51687, 14896, 10885, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 9947, 5295, 7085, 236751, 4867, 2404, 573, 496, 4430, 236761, 9187, 684, 67896, 910, 2307, 4867, 19455, 573, 506, 3068, 1806, 1518, 236761, 1637, 506, 10471, 3877, 3831, 496, 26876, 7003, 236764, 18840, 506, 8216, 2727, 5456, 531, 5608, 46840, 236761, 4298, 236764, 17194, 529, 506, 8216, 2727, 2536, 236764, 8091, 506, 4867, 24781, 531, 13901, 46407, 532, 30990, 236761, 4210, 600, 236764, 3540, 506, 12153, 2434, 236789, 236751, 40895, 532, 15880, 4889, 236761, 13472, 236764, 73981, 4326, 684, 67896, 9947, 236789, 236751, 6782, 4867, 14900, 531, 6054, 768, 625, 236789, 236751, 496, 10385, 6828, 236761, 9996, 2889, 1546, 2918, 32407, 87121, 531, 506, 2148, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 23735, 1083, 623, 78067, 827, 623, 61054, 236779, 29263, 1083, 3714, 33658, 1083, 870, 236778, 236771, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 1604, 623, 83122, 1083, 870, 236800, 236825, 236810, 236761, 236828, 236778, 236764, 236743, 236800, 236819, 236812, 236761, 236800, 236800, 236764, 236743, 236800, 236828, 236800, 236761, 236778, 236819, 1604, 623, 83122, 236779, 45882, 236779, 18223, 1083, 870, 236778, 236810, 236761, 236825, 236764, 236743, 236832, 236761, 236828, 236764, 753, 236778, 236761, 236828, 1604, 623, 2108, 236779, 27163, 1083, 870, 236819, 236819, 236761, 236828, 236764, 236743, 236819, 236819, 236761, 236828, 236770, 236764, 236743, 236828, 236832, 236761, 236771, 1604, 623, 5600, 1083, 870, 236810, 236761, 236825, 236832, 236764, 236743, 236810, 236761, 236828, 236819, 236764, 236743, 236810, 236761, 236770, 236810, 1604, 623, 117468, 236779, 27163, 1083, 870, 236770, 236771, 236828, 236761, 236819, 236812, 236764, 236743, 236770, 236770, 236812, 236761, 236800, 236764, 236743, 236770, 236771, 236812, 236761, 236800, 236810, 1604, 623, 6796, 236779, 52107, 236779, 5101, 1083, 870, 236819, 236810, 236761, 236770, 236778, 236764, 236743, 236770, 236771, 236828, 236761, 236832, 236810, 236764, 236743, 236819, 236828, 236761, 236812, 236800, 1604, 623, 97024, 236779, 14293, 236779, 18223, 1083, 870, 236812, 236770, 236761, 236828, 236764, 236743, 236812, 236800, 236761, 236800, 236764, 236743, 236812, 236812, 236761, 236771, 59117, 623, 27617, 1083, 623, 38556, 827, 623, 6805, 1083, 623, 79568, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52107, 5101, 236779, 1516, 1083, 3714, 25385, 1083, 623, 31319, 5295, 10498, 623, 22037, 1083, 623, 226046, 827, 623, 23735, 1083, 623, 78067, 827, 623, 86303, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236770, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 236779, 52107, 236779, 5101, 1083, 753, 236800, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 236779, 52107, 236779, 5101, 1083, 753, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 52107, 236779, 4177, 1083, 236743, 236810, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236770, 236771, 236810, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 236779, 52107, 236779, 5101, 1083, 753, 236800, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 236779, 52107, 236779, 5101, 1083, 753, 236825, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 52107, 236779, 4177, 1083, 236743, 236810, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236819, 236810, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 236779, 52107, 236779, 5101, 1083, 753, 236778, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 236779, 52107, 236779, 5101, 1083, 753, 236825, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 52107, 236779, 4177, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 104960, 623, 27617, 1083, 623, 38556, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 23735, 1083, 623, 78067, 827, 623, 236750, 23004, 1083, 3714, 4002, 236779, 28350, 1083, 236743, 236770, 236761, 236771, 236810, 236764, 623, 95108, 236779, 1071, 236779, 154044, 1083, 236743, 236770, 236761, 236828, 236778, 236764, 623, 97024, 236779, 14293, 1083, 236743, 236771, 236761, 236812, 236812, 236764, 623, 2108, 236779, 17341, 236779, 14293, 1083, 236743, 236771, 236761, 236778, 236764, 623, 2060, 236779, 498, 236779, 9301, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 2060, 236779, 498, 236779, 154044, 1083, 236743, 236771, 236761, 236810, 236810, 236764, 623, 83122, 236779, 45882, 236779, 236800, 236779, 3704, 236779, 236755, 107384, 1083, 236743, 236771, 236761, 236771, 236828, 1263, 623, 27617, 1083, 623, 38556, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7778, 81011, 1083, 78493, 1201, 1083, 623, 195894, 622, 236761, 9940, 827, 623, 3250, 1083, 623, 45403, 15044, 16186, 827, 623, 5353, 5167, 1083, 623, 17214, 9940, 815, 7779, 618, 9947, 236789, 236751, 11279, 2338, 236743, 236778, 236771, 236770, 236770, 236764, 93145, 4185, 6675, 236764, 1698, 7545, 236764, 532, 11961, 19898, 236761, 22282, 531, 10425, 11279, 236764, 668, 4247, 13616, 618, 86853, 532, 164110, 529, 66724, 27194, 236761, 9940, 815, 5378, 9947, 236789, 236751, 10534, 1131, 861, 9766, 532, 3019, 236764, 79720, 15603, 236764, 24488, 236764, 532, 36453, 10498, 623, 215600, 1083, 3714, 5521, 236779, 44884, 1083, 236743, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 102158, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 14973, 236779, 206455, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 623, 1571, 694, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236770, 236772, 236771, 236828, 236772, 236778, 236812, 827, 623, 33658, 236779, 495, 236779, 10639, 1083, 236743, 236770, 236800, 5237, 3714, 1201, 1083, 623, 150218, 207571, 604, 827, 623, 3250, 1083, 623, 45403, 16906, 16186, 827, 623, 5353, 5167, 1083, 623, 150218, 207571, 604, 815, 1010, 9947, 236789, 236751, 83238, 2338, 236743, 236778, 236771, 236770, 236812, 236764, 15724, 4867, 6995, 236764, 29311, 3381, 236764, 532, 11961, 2913, 236761, 1293, 7539, 4247, 9550, 14396, 13616, 657, 53895, 532, 23570, 33026, 236761, 207571, 604, 815, 1010, 35542, 528, 61232, 9947, 236789, 236751, 5279, 3904, 532, 57429, 7623, 10498, 623, 215600, 1083, 3714, 5521, 236779, 44884, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 102158, 1083, 236743, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 14973, 236779, 206455, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 1083, 236743, 236810, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 1263, 623, 1571, 694, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 827, 623, 33658, 236779, 495, 236779, 10639, 1083, 236743, 236770, 236770, 5237, 3714, 1201, 1083, 623, 217377, 26755, 827, 623, 3250, 1083, 623, 51551, 18748, 5376, 236764, 28553, 833, 6110, 20004, 827, 623, 5353, 5167, 1083, 623, 217377, 26755, 9025, 9947, 236789, 236751, 6369, 236764, 17286, 236764, 532, 4957, 7880, 27768, 236761, 2625, 10438, 9947, 528, 236743, 236778, 236771, 236771, 236832, 532, 815, 4247, 10319, 13616, 528, 11961, 2621, 532, 14143, 236761, 5165, 981, 21132, 580, 1262, 15603, 236764, 21623, 3670, 236764, 532, 3251, 15154, 10498, 623, 215600, 1083, 3714, 5521, 236779, 44884, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236764, 623, 102158, 1083, 236743, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 14973, 236779, 206455, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 1083, 236743, 236778, 236812, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 623, 1571, 694, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236771, 236832, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 33658, 236779, 495, 236779, 10639, 1083, 236743, 236770, 236832, 1807, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61054, 236779, 16602, 1083, 3714, 83122, 236779, 45882, 1083, 3714, 236778, 236771, 236778, 236778, 1083, 623, 236810, 236761, 236825, 70887, 623, 236778, 236771, 236778, 236800, 1083, 623, 236800, 236761, 236778, 70887, 623, 236778, 236771, 236778, 236812, 1083, 9296, 236770, 236761, 236812, 171446, 623, 52107, 236779, 5101, 236779, 22775, 14475, 1083, 3714, 117468, 236779, 52107, 236779, 5101, 1083, 6610, 236770, 236770, 236771, 236761, 236800, 236799, 827, 623, 6796, 236779, 52107, 236779, 5101, 1083, 6610, 236828, 236819, 236761, 236832, 236799, 827, 623, 22775, 14475, 236779, 8318, 1083, 623, 236776, 236772, 23179, 623, 17341, 2109, 236779, 236750, 23004, 1083, 3714, 2108, 236779, 17341, 236779, 14293, 1083, 623, 236778, 236812, 236761, 236770, 70887, 623, 2060, 236779, 498, 236779, 154044, 1083, 623, 236810, 236778, 236761, 236800, 70887, 623, 97024, 236779, 14293, 1083, 623, 236812, 236812, 236761, 236828, 171446, 623, 519, 3445, 236779, 236750, 23004, 1083, 3714, 95108, 236779, 1071, 236779, 154044, 1083, 623, 236770, 236761, 236828, 236781, 827, 623, 21878, 236779, 44384, 1083, 623, 236770, 236812, 236761, 236825, 236781, 23179, 623, 78226, 236779, 61054, 236779, 8318, 1083, 236743, 236828, 236812, 236761, 236825, 236764, 623, 181188, 236779, 86546, 1083, 1847, 1263, 623, 37716, 236779, 86546, 1083, 3714, 16350, 236779, 37716, 1083, 623, 166920, 827, 623, 31443, 236779, 37716, 1083, 623, 26834, 827, 623, 4477, 26633, 236779, 8318, 1083, 236743, 236770, 236778, 236761, 236832, 1807, 106, 107, 105, 4368, 107, 1018, 31319, 5295, 236761, 568, 226046, 236768, 16906, 5554, 36275, 25252, 1018, 108, 1018, 236770, 236761, 9533, 16906, 116589, 568, 236778, 236771, 236778, 236770, 236964, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 236772, 5213, 87093, 53121, 4472, 10487, 657, 609, 236800, 236819, 236812, 236761, 236800, 236800, 236799, 528, 236743, 236778, 236771, 236778, 236778, 236764, 24984, 8427, 531, 609, 236800, 236828, 236800, 236761, 236778, 236819, 236799, 528, 236743, 236778, 236771, 236778, 236800, 15554, 236778, 236761, 236828, 236908, 3877, 769, 138, 107, 236772, 5213, 8233, 30521, 53121, 58357, 2560, 699, 609, 236819, 236819, 236761, 236828, 236770, 236799, 568, 236778, 236771, 236778, 236778, 236768, 531, 609, 236828, 236832, 236761, 236771, 236771, 236799, 568, 236778, 236771, 236778, 236800, 779, 840, 7474, 2787, 236743, 236778, 236771, 236778, 236770, 4535, 236761, 138, 107, 236772, 5213, 93557, 53121, 94655, 531, 609, 236810, 236761, 236770, 236810, 528, 236743, 236778, 236771, 236778, 236800, 699, 609, 236810, 236761, 236828, 236819, 528, 236743, 236778, 236771, 236778, 236778, 236761, 138, 107, 236772, 5213, 15370, 24531, 19179, 53121, 27717, 657, 609, 236819, 236828, 236761, 236812, 236800, 236799, 528, 236743, 236778, 236771, 236778, 236800, 236764, 17674, 35691, 9785, 10471, 225792, 236761, 138, 108, 1018, 236778, 236761, 24531, 19179, 13768, 568, 236778, 236771, 236778, 236770, 236964, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 236772, 5213, 94992, 24531, 19179, 53121, 667, 5879, 41296, 6131, 236819, 236810, 236761, 236770, 236799, 16130, 609, 236770, 236770, 236771, 236761, 236810, 236799, 779, 26453, 16317, 7157, 1960, 6675, 236761, 138, 107, 236772, 5213, 8233, 24531, 14376, 53121, 44771, 7003, 6131, 236800, 236761, 236770, 236799, 16130, 609, 236810, 236761, 236810, 236799, 779, 32427, 46840, 6332, 236761, 138, 108, 1018, 236800, 236761, 16906, 630, 23004, 53121, 138, 107, 236772, 5213, 109048, 2109, 53121, 138, 107, 138, 236772, 38962, 125371, 236787, 236743, 236812, 236812, 236908, 568, 24137, 769, 138, 107, 138, 236772, 5674, 67679, 125371, 236787, 236743, 236778, 236771, 236908, 568, 22468, 236764, 3635, 1679, 699, 4487, 1518, 769, 138, 107, 138, 236772, 17006, 236788, 236787, 236743, 236810, 236810, 236908, 568, 216729, 236764, 17674, 8143, 5279, 1161, 769, 138, 107, 236772, 5213, 164419, 676, 53121, 138, 107, 138, 236772, 59426, 236772, 1071, 236772, 141242, 236787, 236743, 236770, 236761, 236828, 236778, 236781, 568, 114292, 4652, 236764, 78407, 2238, 8216, 27257, 769, 138, 107, 138, 236772, 21632, 85406, 236787, 236743, 236770, 236812, 236761, 236825, 236781, 568, 976, 3678, 4652, 769, 138, 107, 236772, 5213, 83380, 53121, 236743, 236800, 236772, 16431, 34607, 146106, 236787, 236743, 236828, 236908, 568, 30558, 1440, 236772, 6061, 7003, 9785, 236743, 236778, 236771, 236778, 236800, 12372, 769, 138, 108, 1018, 236812, 236761, 15044, 10765, 53121, 138, 107, 236772, 5213, 170728, 53121, 8099, 236772, 1571, 2600, 10319, 236787, 138, 107, 138, 236772, 9902, 9940, 568, 63460, 1473, 236743, 236770, 236800, 1518, 657, 506, 40315, 236764, 2558, 15880, 609, 236770, 236771, 236810, 236792, 236761, 138, 107, 138, 236772, 72566, 207571, 604, 568, 236780, 12041, 1473, 236743, 236770, 236770, 1518, 236764, 609, 236810, 236778, 236761, 236810, 236792, 15880, 236761, 138, 107, 138, 236772, 69067, 26755, 568, 67289, 1473, 236743, 236770, 236832, 1518, 236764, 609, 236778, 236812, 236761, 236778, 236792, 236761, 138, 107, 236772, 5213, 42928, 53121, 30235, 580, 24488, 236764, 15603, 236764, 532, 4185, 10534, 100146, 607, 1440, 236772, 6061, 1550, 236761, 138, 108, 1018, 236810, 236761, 29216, 16906, 95324, 53121, 138, 107, 236772, 5213, 170728, 53121, 623, 122926, 27269, 236775, 10778, 568, 8318, 236787, 236743, 236828, 236812, 236761, 236825, 236786, 236770, 236771, 236771, 769, 138, 107, 236772, 5213, 71398, 29520, 53121, 14533, 6327, 4652, 236764, 21037, 2436, 4652, 568, 4477, 26633, 6317, 236787, 236743, 236770, 236778, 236761, 236832, 769, 138, 107, 236772, 5213, 68058, 14475, 53121, 38641, 24531, 19179, 6131, 236770, 236770, 236771, 236761, 236800, 236799, 236768, 532, 30634, 14475, 27242, 6791, 236776, 236772, 1373, 126226, 35691, 236761, 138, 108, 1018, 30792, 53121, 138, 107, 31319, 7474, 496, 5213, 24137, 6828, 1018, 607, 3188, 46407, 236764, 7644, 8216, 2727, 236764, 532, 9763, 10319, 236761, 5978, 236743, 236778, 236771, 236778, 236800, 10471, 24984, 8427, 236764, 506, 2544, 236858, 236751, 4867, 68378, 236764, 1494, 34759, 236764, 532, 82235, 5279, 25519, 568, 236744, 236761, 236759, 1126, 609, 236819, 236828, 236761, 236812, 236800, 236799, 2196, 8216, 2727, 236768, 46290, 13682, 236761, 669, 8479, 236772, 1071, 236772, 154044, 7232, 62096, 11734, 236764, 840, 6782, 52669, 1894, 1440, 236772, 6061, 11646, 236761, 53399, 618, 496, 5213, 6102, 7046, 1018, 573, 7391, 12985, 51687, 14896, 10885, 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, 506, 122116, 3245, 176450, 616, 9624, 2434, 236789, 236751, 11858, 3736, 532, 1873, 36691, 531, 2619, 496, 16183, 2731, 18024, 2263, 8568, 4083, 607, 19074, 3004, 236761, 9187, 684, 21558, 506, 4338, 15284, 573, 46925, 12522, 564, 156101, 7974, 236764, 1299, 2426, 2487, 18046, 573, 600, 15284, 236761, 9920, 692, 735, 506, 1873, 3409, 236764, 33205, 506, 2434, 236789, 236751, 5158, 5484, 532, 910, 10681, 236761, 1701, 11858, 4403, 236764, 1586, 506, 1903, 177166, 699, 910, 236743, 236778, 236771, 236778, 236770, 3409, 532, 10769, 600, 607, 910, 1873, 36691, 236761, 1637, 1027, 5904, 9139, 5121, 2779, 531, 21648, 15284, 62606, 653, 18046, 236764, 6253, 684, 16329, 506, 1694, 236779, 1340, 236779, 519, 13975, 653, 18046, 236779, 18700, 1171, 236761, 3792, 236789, 236751, 3654, 607, 506, 15284, 16118, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 80043, 236779, 547, 1083, 623, 236788, 5672, 827, 623, 1201, 1083, 623, 27832, 19992, 9654, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 3353, 23179, 3714, 80043, 236779, 547, 1083, 623, 4967, 72782, 827, 623, 1201, 1083, 623, 4967, 40777, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 23179, 3714, 80043, 236779, 547, 1083, 623, 152128, 33590, 827, 623, 1201, 1083, 623, 152128, 33590, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236770, 236828, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 23179, 3714, 80043, 236779, 547, 1083, 623, 127198, 236776, 827, 623, 1201, 1083, 623, 127198, 562, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 23179, 3714, 80043, 236779, 547, 1083, 623, 236798, 14362, 236770, 827, 623, 1201, 1083, 623, 236798, 14362, 236743, 236770, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236770, 236828, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 236775, 165075, 106, 107, 105, 4368, 107, 818, 122116, 3245, 176450, 616, 20811, 528, 46925, 12522, 564, 156101, 568, 64775, 30159, 214834, 779, 840, 506, 5213, 2234, 236779, 1340, 236779, 519, 13975, 1018, 5904, 1186, 7623, 6693, 5707, 63611, 568, 236788, 5672, 236764, 2774, 40777, 236764, 4044, 7476, 1174, 11387, 496, 26919, 528, 506, 2487, 6436, 236787, 5213, 236797, 35409, 236772, 15396, 63611, 659, 711, 15283, 1343, 506, 1873, 9299, 5151, 84750, 236743, 108, 10081, 506, 6436, 3914, 33205, 46925, 15284, 62606, 236764, 18046, 236764, 653, 2434, 1262, 236764, 564, 3914, 7162, 607, 506, 15633, 3671, 568, 236744, 236761, 236759, 1126, 36691, 51139, 236764, 11858, 3736, 236764, 653, 1903, 177166, 769, 2282, 14245, 672, 236764, 611, 1093, 1202, 2802, 531, 614, 9299, 653, 15297, 600, 5132, 46925, 236772, 15396, 61925, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 14984, 580, 9302, 12668, 236888, 106, 107, 105, 2364, 107, 10081, 46925, 236772, 15396, 1262, 5889, 236789, 236745, 15283, 1343, 506, 1873, 6436, 236764, 1531, 236789, 236751, 38179, 236761, 3199, 611, 1601, 786, 2619, 496, 16183, 2731, 1699, 5213, 18700, 6693, 15284, 1262, 1018, 568, 236744, 236761, 236759, 1126, 202614, 653, 2774, 40777, 236768, 531, 4988, 89560, 1534, 4185, 9624, 4083, 532, 122116, 3245, 236789, 236751, 2263, 4100, 236881, 1701, 2591, 236787, 236743, 236770, 236761, 6890, 2165, 2234, 236779, 1340, 236779, 519, 13975, 236929, 531, 974, 202614, 236786, 4967, 40777, 15284, 62606, 236761, 236743, 236778, 236761, 6890, 2165, 19458, 236779, 2244, 1013, 236929, 573, 910, 236743, 236778, 236771, 236778, 236770, 3409, 568, 99756, 531, 2009, 3245, 236789, 236751, 7718, 49515, 13057, 3736, 1051, 769, 236743, 236800, 236761, 44906, 13718, 8798, 568, 236744, 236761, 236759, 1126, 18214, 236786, 500, 2273, 567, 7728, 236761, 46925, 36295, 236768, 528, 496, 19074, 4588, 236761, 1637, 672, 4146, 236764, 564, 236789, 859, 7535, 506, 16183, 531, 1161, 1239, 8698, 5205, 236761, 3792, 236858, 236751, 1502, 607, 2918, 236743, 236770, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 77763, 711, 1765, 827, 623, 13308, 1083, 3714, 4375, 1083, 623, 818, 15633, 15284, 756, 236788, 5672, 236789, 1677, 711, 2849, 528, 506, 46925, 12522, 564, 156101, 7948, 236761, 7323, 1161, 496, 4341, 46925, 9232, 56234, 568, 236744, 236761, 236759, 1126, 756, 16283, 236772, 49163, 1606, 653, 2426, 506, 1694, 236779, 1340, 236779, 519, 13975, 5904, 573, 2487, 3835, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 80043, 236779, 547, 1083, 623, 19476, 236772, 11112, 236792, 827, 623, 1201, 1083, 623, 27832, 19992, 9654, 827, 623, 53337, 1083, 623, 165180, 827, 623, 13647, 1083, 623, 76395, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236786, 236778, 236810, 827, 623, 68925, 1083, 236743, 236778, 236771, 236764, 623, 25541, 1083, 236743, 236800, 236828, 236771, 1263, 3714, 80043, 236779, 547, 1083, 623, 87426, 236772, 236798, 1565, 145804, 827, 623, 1201, 1083, 623, 4967, 40777, 827, 623, 53337, 1083, 623, 165180, 827, 623, 13647, 1083, 623, 79932, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236786, 236778, 236810, 827, 623, 68925, 1083, 236743, 236778, 236771, 236764, 623, 25541, 1083, 236743, 236800, 236828, 236771, 1263, 3714, 80043, 236779, 547, 1083, 623, 17948, 236772, 71707, 827, 623, 1201, 1083, 623, 152128, 33590, 827, 623, 53337, 1083, 623, 165180, 827, 623, 13647, 1083, 623, 34692, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236786, 236778, 236810, 827, 623, 68925, 1083, 236743, 236770, 236828, 236764, 623, 25541, 1083, 236743, 236800, 236771, 236825, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 15284, 236779, 30948, 573, 46925, 12522, 564, 156101, 4403, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 80043, 236779, 30948, 1083, 623, 19476, 236772, 11112, 236792, 563, 496, 5707, 26100, 15284, 568, 27832, 19992, 9654, 779, 711, 11955, 573, 46925, 8672, 9624, 236761, 69850, 496, 4341, 46925, 156101, 15284, 31744, 1781, 19465, 106, 107, 105, 4368, 107, 818, 6436, 659, 10916, 5809, 531, 5213, 236797, 35409, 12522, 564, 156101, 44187, 1018, 532, 11450, 6693, 15284, 104026, 568, 236744, 236761, 236759, 1126, 623, 19476, 236772, 11112, 236792, 1373, 573, 5151, 1133, 2165, 19458, 236779, 2244, 1013, 21233, 5612, 506, 2165, 2234, 236779, 1340, 236779, 519, 13975, 236929, 5904, 1677, 711, 994, 46925, 236772, 15396, 63611, 568, 236744, 236761, 236759, 1126, 623, 16283, 236772, 49163, 1373, 9785, 506, 3165, 10396, 22169, 901, 2849, 236764, 993, 236858, 236751, 496, 6749, 11302, 528, 15283, 1262, 236761, 138, 108, 2021, 7162, 236764, 564, 236858, 859, 18161, 496, 16183, 2731, 3904, 1699, 5213, 43791, 557, 51187, 46925, 15284, 62606, 1018, 568, 236744, 236761, 236759, 1126, 623, 16283, 236772, 49163, 1373, 532, 8357, 1217, 531, 7535, 625, 607, 1759, 1262, 768, 15283, 3209, 236761, 1701, 2591, 236787, 138, 108, 10354, 83401, 9620, 69205, 236787, 623, 108247, 24458, 68003, 236775, 138, 107, 236770, 236761, 5213, 86865, 66515, 121353, 13718, 8798, 1534, 46925, 36295, 568, 236744, 236761, 236759, 1126, 7718, 49515, 236768, 532, 6693, 63611, 568, 236744, 236761, 236759, 1126, 202614, 769, 138, 107, 236778, 236761, 5213, 5753, 236743, 236770, 66515, 6890, 2165, 19458, 236779, 2244, 1013, 236929, 573, 506, 5213, 18318, 49515, 13057, 568, 236778, 236771, 236778, 236770, 3409, 62902, 531, 17318, 2434, 47551, 532, 10769, 1091, 531, 202614, 90915, 52236, 6517, 236761, 138, 107, 236800, 236761, 5213, 5753, 236743, 236778, 66515, 56571, 18214, 236786, 500, 2273, 567, 528, 506, 202614, 7728, 236761, 6530, 46925, 36295, 1699, 2165, 80043, 236779, 13308, 236929, 568, 584, 15283, 769, 138, 107, 236812, 236761, 5213, 47352, 236772, 4674, 66515, 46071, 1217, 2263, 7974, 1133, 122116, 3245, 4100, 10969, 6540, 236764, 48973, 2395, 4185, 8698, 236761, 138, 108, 10081, 46925, 15284, 62606, 10050, 236858, 236745, 15283, 1590, 236764, 564, 236858, 859, 12262, 672, 10318, 573, 611, 531, 5727, 528, 607, 1759, 1262, 3209, 236761, 21284, 672, 981, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 506, 122116, 3245, 176450, 616, 9624, 2434, 236789, 236751, 11858, 3736, 532, 1873, 36691, 531, 2619, 496, 16183, 2731, 18024, 2263, 8568, 4083, 607, 19074, 3004, 236761, 9187, 684, 21558, 506, 4338, 15284, 573, 46925, 12522, 564, 156101, 7974, 236764, 1299, 2426, 2487, 18046, 573, 600, 15284, 236761, 9920, 692, 735, 506, 1873, 3409, 236764, 33205, 506, 2434, 236789, 236751, 5158, 5484, 532, 910, 10681, 236761, 1701, 11858, 4403, 236764, 1586, 506, 1903, 177166, 699, 910, 236743, 236778, 236771, 236778, 236770, 3409, 532, 10769, 600, 607, 910, 1873, 36691, 236761, 1637, 1027, 5904, 9139, 5121, 2779, 531, 21648, 15284, 62606, 653, 18046, 236764, 6253, 684, 16329, 506, 1694, 236779, 1340, 236779, 519, 13975, 653, 18046, 236779, 18700, 1171, 236761, 3792, 236789, 236751, 3654, 607, 506, 15284, 16118, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 80043, 236779, 547, 1083, 623, 236788, 5672, 827, 623, 1201, 1083, 623, 27832, 19992, 9654, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 3353, 23179, 3714, 80043, 236779, 547, 1083, 623, 4967, 72782, 827, 623, 1201, 1083, 623, 4967, 40777, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 23179, 3714, 80043, 236779, 547, 1083, 623, 152128, 33590, 827, 623, 1201, 1083, 623, 152128, 33590, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236770, 236828, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 23179, 3714, 80043, 236779, 547, 1083, 623, 127198, 236776, 827, 623, 1201, 1083, 623, 127198, 562, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 23179, 3714, 80043, 236779, 547, 1083, 623, 236798, 14362, 236770, 827, 623, 1201, 1083, 623, 236798, 14362, 236743, 236770, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236786, 236778, 236812, 827, 623, 14992, 236779, 2861, 1083, 236743, 236770, 236828, 236764, 623, 10480, 236779, 41413, 1083, 623, 30902, 531, 5142, 236775, 165075, 106, 107, 105, 4368, 107, 818, 122116, 3245, 176450, 616, 20811, 528, 46925, 12522, 564, 156101, 568, 64775, 30159, 214834, 779, 840, 506, 5213, 2234, 236779, 1340, 236779, 519, 13975, 1018, 5904, 1186, 7623, 6693, 5707, 63611, 568, 236788, 5672, 236764, 2774, 40777, 236764, 4044, 7476, 1174, 11387, 496, 26919, 528, 506, 2487, 6436, 236787, 5213, 236797, 35409, 236772, 15396, 63611, 659, 711, 15283, 1343, 506, 1873, 9299, 5151, 84750, 236743, 108, 10081, 506, 6436, 3914, 33205, 46925, 15284, 62606, 236764, 18046, 236764, 653, 2434, 1262, 236764, 564, 3914, 7162, 607, 506, 15633, 3671, 568, 236744, 236761, 236759, 1126, 36691, 51139, 236764, 11858, 3736, 236764, 653, 1903, 177166, 769, 2282, 14245, 672, 236764, 611, 1093, 1202, 2802, 531, 614, 9299, 653, 15297, 600, 5132, 46925, 236772, 15396, 61925, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 14984, 580, 9302, 12668, 236888, 106, 107, 105, 2364, 107, 10081, 46925, 236772, 15396, 1262, 5889, 236789, 236745, 15283, 1343, 506, 1873, 6436, 236764, 1531, 236789, 236751, 38179, 236761, 3199, 611, 1601, 786, 2619, 496, 16183, 2731, 1699, 5213, 18700, 6693, 15284, 1262, 1018, 568, 236744, 236761, 236759, 1126, 202614, 653, 2774, 40777, 236768, 531, 4988, 89560, 1534, 4185, 9624, 4083, 532, 122116, 3245, 236789, 236751, 2263, 4100, 236881, 1701, 2591, 236787, 236743, 236770, 236761, 6890, 2165, 2234, 236779, 1340, 236779, 519, 13975, 236929, 531, 974, 202614, 236786, 4967, 40777, 15284, 62606, 236761, 236743, 236778, 236761, 6890, 2165, 19458, 236779, 2244, 1013, 236929, 573, 910, 236743, 236778, 236771, 236778, 236770, 3409, 568, 99756, 531, 2009, 3245, 236789, 236751, 7718, 49515, 13057, 3736, 1051, 769, 236743, 236800, 236761, 44906, 13718, 8798, 568, 236744, 236761, 236759, 1126, 18214, 236786, 500, 2273, 567, 7728, 236761, 46925, 36295, 236768, 528, 496, 19074, 4588, 236761, 1637, 672, 4146, 236764, 564, 236789, 859, 7535, 506, 16183, 531, 1161, 1239, 8698, 5205, 236761, 3792, 236858, 236751, 1502, 607, 2918, 236743, 236770, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 77763, 711, 1765, 827, 623, 13308, 1083, 3714, 4375, 1083, 623, 818, 15633, 15284, 756, 236788, 5672, 236789, 1677, 711, 2849, 528, 506, 46925, 12522, 564, 156101, 7948, 236761, 7323, 1161, 496, 4341, 46925, 9232, 56234, 568, 236744, 236761, 236759, 1126, 756, 16283, 236772, 49163, 1606, 653, 2426, 506, 1694, 236779, 1340, 236779, 519, 13975, 5904, 573, 2487, 3835, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 519, 13975, 1083, 78493, 80043, 236779, 547, 1083, 623, 19476, 236772, 11112, 236792, 827, 623, 1201, 1083, 623, 27832, 19992, 9654, 827, 623, 53337, 1083, 623, 165180, 827, 623, 13647, 1083, 623, 76395, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236786, 236778, 236810, 827, 623, 68925, 1083, 236743, 236778, 236771, 236764, 623, 25541, 1083, 236743, 236800, 236828, 236771, 1263, 3714, 80043, 236779, 547, 1083, 623, 87426, 236772, 236798, 1565, 145804, 827, 623, 1201, 1083, 623, 4967, 40777, 827, 623, 53337, 1083, 623, 165180, 827, 623, 13647, 1083, 623, 79932, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236786, 236778, 236810, 827, 623, 68925, 1083, 236743, 236778, 236771, 236764, 623, 25541, 1083, 236743, 236800, 236828, 236771, 1263, 3714, 80043, 236779, 547, 1083, 623, 17948, 236772, 71707, 827, 623, 1201, 1083, 623, 152128, 33590, 827, 623, 53337, 1083, 623, 165180, 827, 623, 13647, 1083, 623, 34692, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236786, 236778, 236810, 827, 623, 68925, 1083, 236743, 236770, 236828, 236764, 623, 25541, 1083, 236743, 236800, 236771, 236825, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 15284, 236779, 30948, 573, 46925, 12522, 564, 156101, 4403, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 80043, 236779, 30948, 1083, 623, 19476, 236772, 11112, 236792, 563, 496, 5707, 26100, 15284, 568, 27832, 19992, 9654, 779, 711, 11955, 573, 46925, 8672, 9624, 236761, 69850, 496, 4341, 46925, 156101, 15284, 31744, 1781, 19465, 106, 107, 105, 4368, 107, 818, 6436, 659, 10916, 5809, 531, 5213, 236797, 35409, 12522, 564, 156101, 44187, 1018, 532, 11450, 6693, 15284, 104026, 568, 236744, 236761, 236759, 1126, 623, 19476, 236772, 11112, 236792, 1373, 573, 5151, 1133, 2165, 19458, 236779, 2244, 1013, 21233, 5612, 506, 2165, 2234, 236779, 1340, 236779, 519, 13975, 236929, 5904, 1677, 711, 994, 46925, 236772, 15396, 63611, 568, 236744, 236761, 236759, 1126, 623, 16283, 236772, 49163, 1373, 9785, 506, 3165, 10396, 22169, 901, 2849, 236764, 993, 236858, 236751, 496, 6749, 11302, 528, 15283, 1262, 236761, 138, 108, 2021, 7162, 236764, 564, 236858, 859, 18161, 496, 16183, 2731, 3904, 1699, 5213, 43791, 557, 51187, 46925, 15284, 62606, 1018, 568, 236744, 236761, 236759, 1126, 623, 16283, 236772, 49163, 1373, 532, 8357, 1217, 531, 7535, 625, 607, 1759, 1262, 768, 15283, 3209, 236761, 1701, 2591, 236787, 138, 108, 10354, 83401, 9620, 69205, 236787, 623, 108247, 24458, 68003, 236775, 138, 107, 236770, 236761, 5213, 86865, 66515, 121353, 13718, 8798, 1534, 46925, 36295, 568, 236744, 236761, 236759, 1126, 7718, 49515, 236768, 532, 6693, 63611, 568, 236744, 236761, 236759, 1126, 202614, 769, 138, 107, 236778, 236761, 5213, 5753, 236743, 236770, 66515, 6890, 2165, 19458, 236779, 2244, 1013, 236929, 573, 506, 5213, 18318, 49515, 13057, 568, 236778, 236771, 236778, 236770, 3409, 62902, 531, 17318, 2434, 47551, 532, 10769, 1091, 531, 202614, 90915, 52236, 6517, 236761, 138, 107, 236800, 236761, 5213, 5753, 236743, 236778, 66515, 56571, 18214, 236786, 500, 2273, 567, 528, 506, 202614, 7728, 236761, 6530, 46925, 36295, 1699, 2165, 80043, 236779, 13308, 236929, 568, 584, 15283, 769, 138, 107, 236812, 236761, 5213, 47352, 236772, 4674, 66515, 46071, 1217, 2263, 7974, 1133, 122116, 3245, 4100, 10969, 6540, 236764, 48973, 2395, 4185, 8698, 236761, 138, 108, 10081, 46925, 15284, 62606, 10050, 236858, 236745, 15283, 1590, 236764, 564, 236858, 859, 12262, 672, 10318, 573, 611, 531, 5727, 528, 607, 1759, 1262, 3209, 236761, 21284, 672, 981, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 1900, 496, 19406, 573, 611, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 18544, 236761, 3153, 236764, 564, 740, 1601, 611, 2619, 496, 14626, 2460, 768, 4354, 236888, 3792, 786, 1281, 1217, 1663, 564, 740, 6361, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 1900, 496, 19406, 573, 611, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 18544, 236761, 3153, 236764, 564, 740, 1601, 611, 2619, 496, 14626, 2460, 768, 4354, 236888, 3792, 786, 1281, 1217, 1663, 564, 740, 6361, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 659, 506, 861, 73046, 580, 24868, 528, 506, 2590, 672, 2069, 236881, 6542, 236764, 2847, 496, 4940, 1694, 529, 236743, 236770, 236771, 20473, 699, 4803, 13154, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 1938, 1003, 24868, 236789, 236751, 861, 73046, 653, 496, 4940, 1694, 529, 20473, 699, 4803, 13154, 236761, 669, 2487, 6436, 1186, 1894, 236787, 107, 236770, 236761, 35640, 18046, 236786, 838, 74286, 573, 3530, 19293, 107, 236778, 236761, 58900, 522, 112077, 5058, 8283, 684, 4128, 107, 236800, 236761, 35640, 13154, 699, 236743, 236778, 236771, 236771, 236771, 236772, 236778, 236771, 236770, 236819, 684, 18355, 236786, 3704, 108, 38786, 611, 1133, 786, 531, 1601, 607, 2613, 600, 6178, 1239, 2487, 15858, 5205, 236881, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 659, 506, 861, 73046, 580, 24868, 528, 506, 2590, 672, 2069, 236881, 6542, 236764, 2847, 496, 4940, 1694, 529, 236743, 236770, 236771, 20473, 699, 4803, 13154, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 1938, 1003, 24868, 236789, 236751, 861, 73046, 653, 496, 4940, 1694, 529, 20473, 699, 4803, 13154, 236761, 669, 2487, 6436, 1186, 1894, 236787, 107, 236770, 236761, 35640, 18046, 236786, 838, 74286, 573, 3530, 19293, 107, 236778, 236761, 58900, 522, 112077, 5058, 8283, 684, 4128, 107, 236800, 236761, 35640, 13154, 699, 236743, 236778, 236771, 236771, 236771, 236772, 236778, 236771, 236770, 236819, 684, 18355, 236786, 3704, 108, 38786, 611, 1133, 786, 531, 1601, 607, 2613, 600, 6178, 1239, 2487, 15858, 5205, 236881, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 35447, 496, 2299, 34374, 573, 506, 129310, 105528, 616, 5975, 672, 8224, 6250, 699, 18943, 57260, 236764, 45108, 568, 157350, 3393, 236743, 236828, 236810, 236832, 236800, 236832, 769, 564, 1202, 531, 2583, 855, 506, 20480, 16047, 573, 855, 236772, 1340, 236772, 11518, 12286, 236761, 5315, 236764, 1586, 506, 20480, 16047, 531, 600, 49075, 3393, 528, 506, 2590, 236761, 4298, 236764, 1769, 506, 16047, 3393, 699, 600, 1354, 532, 1385, 625, 872, 684, 3393, 531, 9128, 625, 236789, 236751, 506, 1447, 886, 237028, 4017, 531, 577, 4481, 13868, 573, 1023, 12286, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 140323, 236779, 3970, 1083, 623, 236774, 3118, 827, 623, 1201, 1083, 623, 236774, 1398, 1588, 5785, 17526, 827, 623, 13319, 1083, 623, 236774, 1398, 1588, 827, 623, 3255, 1083, 623, 25862, 827, 623, 14801, 1083, 623, 3118, 827, 623, 17178, 236779, 11375, 1083, 236743, 236770, 236778, 236771, 236761, 236810, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236832, 236812, 236761, 236819, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1404, 3370, 1083, 78493, 1201, 1083, 623, 236774, 1398, 1588, 5785, 17526, 827, 623, 127571, 236779, 3970, 1083, 623, 236774, 3118, 827, 623, 13319, 1083, 623, 236774, 1398, 1588, 827, 623, 3255, 1083, 623, 25862, 236775, 165075, 106, 107, 105, 4368, 107, 818, 20480, 16047, 531, 18943, 57260, 236764, 45108, 568, 157350, 3393, 236743, 236828, 236810, 236832, 236800, 236832, 236768, 563, 5213, 236774, 1398, 1588, 5785, 17526, 1018, 607, 506, 564, 12734, 3393, 5213, 236774, 3118, 84750, 1030, 563, 5628, 528, 80666, 236764, 45108, 236764, 8296, 5213, 236832, 236812, 236761, 236819, 7635, 1018, 699, 18943, 57260, 236761, 1174, 815, 1010, 10778, 1343, 1800, 506, 49075, 3393, 38485, 532, 16047, 3393, 28250, 236761, 65654, 1374, 2731, 531, 10240, 1131, 558, 3118, 573, 506, 34374, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 35447, 496, 2299, 34374, 573, 506, 129310, 105528, 616, 5975, 672, 8224, 6250, 699, 18943, 57260, 236764, 45108, 568, 157350, 3393, 236743, 236828, 236810, 236832, 236800, 236832, 769, 564, 1202, 531, 2583, 855, 506, 20480, 16047, 573, 855, 236772, 1340, 236772, 11518, 12286, 236761, 5315, 236764, 1586, 506, 20480, 16047, 531, 600, 49075, 3393, 528, 506, 2590, 236761, 4298, 236764, 1769, 506, 16047, 3393, 699, 600, 1354, 532, 1385, 625, 872, 684, 3393, 531, 9128, 625, 236789, 236751, 506, 1447, 886, 237028, 4017, 531, 577, 4481, 13868, 573, 1023, 12286, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 140323, 236779, 3970, 1083, 623, 236774, 3118, 827, 623, 1201, 1083, 623, 236774, 1398, 1588, 5785, 17526, 827, 623, 13319, 1083, 623, 236774, 1398, 1588, 827, 623, 3255, 1083, 623, 25862, 827, 623, 14801, 1083, 623, 3118, 827, 623, 17178, 236779, 11375, 1083, 236743, 236770, 236778, 236771, 236761, 236810, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236832, 236812, 236761, 236819, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1404, 3370, 1083, 78493, 1201, 1083, 623, 236774, 1398, 1588, 5785, 17526, 827, 623, 127571, 236779, 3970, 1083, 623, 236774, 3118, 827, 623, 13319, 1083, 623, 236774, 1398, 1588, 827, 623, 3255, 1083, 623, 25862, 236775, 165075, 106, 107, 105, 4368, 107, 818, 20480, 16047, 531, 18943, 57260, 236764, 45108, 568, 157350, 3393, 236743, 236828, 236810, 236832, 236800, 236832, 236768, 563, 5213, 236774, 1398, 1588, 5785, 17526, 1018, 607, 506, 564, 12734, 3393, 5213, 236774, 3118, 84750, 1030, 563, 5628, 528, 80666, 236764, 45108, 236764, 8296, 5213, 236832, 236812, 236761, 236819, 7635, 1018, 699, 18943, 57260, 236761, 1174, 815, 1010, 10778, 1343, 1800, 506, 49075, 3393, 38485, 532, 16047, 3393, 28250, 236761, 65654, 1374, 2731, 531, 10240, 1131, 558, 3118, 573, 506, 34374, 236761, 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, 21811, 48301, 6235, 657, 1041, 8268, 532, 1202, 1601, 7107, 496, 9813, 531, 236772, 2320, 1694, 236761, 28344, 611, 3904, 625, 607, 9395, 236764, 58658, 236764, 532, 1159, 23812, 236881, 1701, 2591, 236764, 1208, 623, 236799, 873, 230278, 2098, 564, 236789, 236753, 1202, 1159, 23812, 1133, 623, 13185, 37163, 236751, 236775, 532, 623, 78237, 161814, 2098, 1546, 607, 910, 1852, 58658, 236761, 6542, 236764, 56856, 9395, 1133, 623, 85692, 19573, 236775, 618, 1494, 13546, 236761, 564, 1461, 531, 5330, 4326, 236789, 236751, 13957, 9668, 573, 506, 2460, 580, 6243, 236743, 236770, 236810, 594, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 5820, 665, 85888, 23387, 2282, 236772, 6294, 4361, 568, 29097, 236743, 236770, 236810, 594, 22730, 623, 8071, 236779, 2861, 1083, 236743, 236770, 236770, 236764, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 2021, 236772, 2320, 1694, 4464, 10428, 607, 236743, 236770, 236770, 9395, 236764, 2440, 1159, 23812, 573, 3789, 12652, 532, 1494, 236772, 47384, 19573, 22479, 1781, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2619, 496, 9813, 531, 236772, 2320, 1694, 573, 822, 21811, 48301, 6235, 236761, 5715, 236789, 236751, 496, 31044, 2731, 607, 208825, 532, 58658, 236787, 108, 236770, 236761, 5213, 85692, 98823, 568, 13238, 59193, 62902, 138, 107, 139, 236772, 96798, 236787, 6198, 236743, 236800, 236771, 594, 138, 107, 139, 236772, 64063, 8268, 2557, 15830, 138, 107, 139, 236772, 21616, 4127, 5842, 568, 56822, 236764, 25794, 236764, 4044, 2907, 108, 236778, 236761, 5213, 236799, 873, 230278, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236770, 236800, 594, 138, 107, 139, 236772, 808, 5096, 23812, 149681, 138, 107, 141, 236772, 9996, 37163, 236751, 568, 141511, 236787, 8934, 236743, 236770, 236778, 594, 236768, 138, 107, 141, 236772, 50514, 161814, 568, 141511, 236787, 8934, 236743, 236770, 236800, 594, 236768, 138, 107, 141, 236772, 155486, 46393, 568, 141511, 236787, 8934, 236743, 236770, 236800, 594, 236768, 108, 236800, 236761, 5213, 180618, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236770, 236771, 594, 138, 107, 139, 236772, 8600, 106643, 236786, 3274, 616, 138, 107, 139, 236772, 7657, 13429, 528, 8268, 141285, 138, 107, 139, 236772, 8779, 4009, 18214, 108, 236812, 236761, 5213, 108142, 77245, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236770, 236771, 594, 138, 107, 139, 236772, 44511, 16593, 5417, 138, 107, 139, 236772, 4987, 12284, 77428, 138, 107, 139, 236772, 13827, 872, 580, 13153, 108, 236810, 236761, 5213, 17667, 969, 17424, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236810, 594, 138, 107, 139, 236772, 139078, 580, 35383, 9061, 6236, 138, 107, 139, 236772, 129209, 24564, 13728, 108, 236825, 236761, 5213, 42736, 6156, 568, 29097, 236743, 236770, 236812, 594, 62902, 138, 107, 139, 236772, 36047, 606, 19573, 138, 107, 139, 236772, 136154, 11740, 532, 19365, 138, 107, 139, 236772, 173856, 7548, 1458, 108, 236832, 236761, 5213, 3500, 6156, 568, 29097, 236743, 236770, 236810, 594, 62902, 138, 107, 139, 236772, 5833, 872, 5886, 11740, 138, 107, 139, 236772, 54398, 5602, 2509, 138, 107, 139, 236772, 12364, 29201, 108, 38786, 611, 1133, 786, 531, 2619, 672, 531, 236772, 2320, 1694, 1699, 506, 4209, 3997, 5904, 236881, 564, 740, 6518, 625, 607, 784, 506, 58658, 532, 28304, 611, 236789, 560, 9155, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 21811, 48301, 6235, 657, 1041, 8268, 532, 1202, 1601, 7107, 496, 9813, 531, 236772, 2320, 1694, 236761, 28344, 611, 3904, 625, 607, 9395, 236764, 58658, 236764, 532, 1159, 23812, 236881, 1701, 2591, 236764, 1208, 623, 236799, 873, 230278, 2098, 564, 236789, 236753, 1202, 1159, 23812, 1133, 623, 13185, 37163, 236751, 236775, 532, 623, 78237, 161814, 2098, 1546, 607, 910, 1852, 58658, 236761, 6542, 236764, 56856, 9395, 1133, 623, 85692, 19573, 236775, 618, 1494, 13546, 236761, 564, 1461, 531, 5330, 4326, 236789, 236751, 13957, 9668, 573, 506, 2460, 580, 6243, 236743, 236770, 236810, 594, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 5820, 665, 85888, 23387, 2282, 236772, 6294, 4361, 568, 29097, 236743, 236770, 236810, 594, 22730, 623, 8071, 236779, 2861, 1083, 236743, 236770, 236770, 236764, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 2021, 236772, 2320, 1694, 4464, 10428, 607, 236743, 236770, 236770, 9395, 236764, 2440, 1159, 23812, 573, 3789, 12652, 532, 1494, 236772, 47384, 19573, 22479, 1781, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2619, 496, 9813, 531, 236772, 2320, 1694, 573, 822, 21811, 48301, 6235, 236761, 5715, 236789, 236751, 496, 31044, 2731, 607, 208825, 532, 58658, 236787, 108, 236770, 236761, 5213, 85692, 98823, 568, 13238, 59193, 62902, 138, 107, 139, 236772, 96798, 236787, 6198, 236743, 236800, 236771, 594, 138, 107, 139, 236772, 64063, 8268, 2557, 15830, 138, 107, 139, 236772, 21616, 4127, 5842, 568, 56822, 236764, 25794, 236764, 4044, 2907, 108, 236778, 236761, 5213, 236799, 873, 230278, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236770, 236800, 594, 138, 107, 139, 236772, 808, 5096, 23812, 149681, 138, 107, 141, 236772, 9996, 37163, 236751, 568, 141511, 236787, 8934, 236743, 236770, 236778, 594, 236768, 138, 107, 141, 236772, 50514, 161814, 568, 141511, 236787, 8934, 236743, 236770, 236800, 594, 236768, 138, 107, 141, 236772, 155486, 46393, 568, 141511, 236787, 8934, 236743, 236770, 236800, 594, 236768, 108, 236800, 236761, 5213, 180618, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236770, 236771, 594, 138, 107, 139, 236772, 8600, 106643, 236786, 3274, 616, 138, 107, 139, 236772, 7657, 13429, 528, 8268, 141285, 138, 107, 139, 236772, 8779, 4009, 18214, 108, 236812, 236761, 5213, 108142, 77245, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236770, 236771, 594, 138, 107, 139, 236772, 44511, 16593, 5417, 138, 107, 139, 236772, 4987, 12284, 77428, 138, 107, 139, 236772, 13827, 872, 580, 13153, 108, 236810, 236761, 5213, 17667, 969, 17424, 1018, 138, 107, 139, 236772, 96798, 236787, 6243, 236743, 236810, 594, 138, 107, 139, 236772, 139078, 580, 35383, 9061, 6236, 138, 107, 139, 236772, 129209, 24564, 13728, 108, 236825, 236761, 5213, 42736, 6156, 568, 29097, 236743, 236770, 236812, 594, 62902, 138, 107, 139, 236772, 36047, 606, 19573, 138, 107, 139, 236772, 136154, 11740, 532, 19365, 138, 107, 139, 236772, 173856, 7548, 1458, 108, 236832, 236761, 5213, 3500, 6156, 568, 29097, 236743, 236770, 236810, 594, 62902, 138, 107, 139, 236772, 5833, 872, 5886, 11740, 138, 107, 139, 236772, 54398, 5602, 2509, 138, 107, 139, 236772, 12364, 29201, 108, 38786, 611, 1133, 786, 531, 2619, 672, 531, 236772, 2320, 1694, 1699, 506, 4209, 3997, 5904, 236881, 564, 740, 6518, 625, 607, 784, 506, 58658, 532, 28304, 611, 236789, 560, 9155, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 112217, 236764, 496, 7009, 7616, 657, 496, 2780, 5500, 32826, 496, 861, 2290, 236772, 1496, 34038, 1757, 13696, 684, 506, 76570, 236761, 564, 1202, 822, 1601, 32187, 1873, 8340, 27078, 531, 990, 1023, 7073, 8912, 236761, 5315, 236764, 12270, 506, 1903, 236743, 236800, 2948, 12714, 699, 506, 997, 236874, 1181, 4644, 68324, 1699, 506, 68324, 236779, 16043, 236779, 10540, 236779, 22487, 5904, 607, 496, 4576, 529, 236743, 236800, 236761, 4298, 236764, 1769, 506, 1171, 2948, 5853, 699, 600, 1354, 532, 1845, 18840, 236779, 10540, 580, 625, 531, 974, 506, 15154, 6317, 236761, 1637, 506, 15154, 6317, 563, 2787, 236743, 236828, 236771, 236764, 2426, 506, 49248, 529, 1023, 12262, 150167, 623, 236874, 1181, 4644, 38039, 236775, 1699, 2426, 236779, 1020, 4079, 236761, 1637, 625, 236789, 236751, 236743, 236828, 236771, 653, 3426, 236764, 1164, 2072, 506, 6317, 532, 20327, 506, 49248, 2426, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22487, 1083, 78493, 547, 1083, 623, 17614, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236874, 1181, 4644, 9064, 6156, 9904, 41218, 623, 92506, 236779, 8318, 1083, 236743, 236828, 236832, 236764, 623, 10540, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17614, 236779, 236770, 236778, 236800, 236812, 236810, 236761, 2720, 236812, 23179, 3714, 547, 1083, 623, 17614, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 80262, 117567, 657, 110168, 24933, 827, 623, 92506, 236779, 8318, 1083, 236743, 236819, 236800, 236764, 623, 10540, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17614, 236779, 236825, 236832, 236828, 236819, 236771, 236761, 2720, 236812, 23179, 3714, 547, 1083, 623, 17614, 236779, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 236874, 1181, 4644, 7728, 4855, 61353, 70731, 827, 623, 92506, 236779, 8318, 1083, 236743, 236832, 236825, 236764, 623, 10540, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17614, 236779, 236810, 236812, 236800, 236778, 236770, 236761, 2720, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 92506, 236779, 8318, 1083, 236743, 236828, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 236874, 1181, 4644, 38039, 827, 623, 511, 236779, 19448, 1083, 1847, 236764, 623, 215582, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 818, 15154, 6317, 573, 506, 1903, 997, 236874, 1181, 4644, 2948, 6791, 236874, 1181, 4644, 9064, 6156, 9904, 26577, 563, 5213, 236828, 236810, 125546, 837, 563, 2787, 506, 236743, 236828, 236771, 14272, 236761, 669, 150167, 623, 236874, 1181, 4644, 38039, 236775, 815, 1010, 15593, 573, 49248, 532, 563, 5213, 19448, 1018, 568, 1904, 19205, 3847, 769, 236743, 108, 1018, 211199, 66515, 101685, 607, 506, 7073, 8912, 1699, 506, 150167, 623, 236874, 1181, 4644, 38039, 236775, 618, 625, 100146, 607, 1494, 236772, 92506, 8340, 3004, 532, 815, 951, 49248, 4342, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 112217, 236764, 496, 7009, 7616, 657, 496, 2780, 5500, 32826, 496, 861, 2290, 236772, 1496, 34038, 1757, 13696, 684, 506, 76570, 236761, 564, 1202, 822, 1601, 32187, 1873, 8340, 27078, 531, 990, 1023, 7073, 8912, 236761, 5315, 236764, 12270, 506, 1903, 236743, 236800, 2948, 12714, 699, 506, 997, 236874, 1181, 4644, 68324, 1699, 506, 68324, 236779, 16043, 236779, 10540, 236779, 22487, 5904, 607, 496, 4576, 529, 236743, 236800, 236761, 4298, 236764, 1769, 506, 1171, 2948, 5853, 699, 600, 1354, 532, 1845, 18840, 236779, 10540, 580, 625, 531, 974, 506, 15154, 6317, 236761, 1637, 506, 15154, 6317, 563, 2787, 236743, 236828, 236771, 236764, 2426, 506, 49248, 529, 1023, 12262, 150167, 623, 236874, 1181, 4644, 38039, 236775, 1699, 2426, 236779, 1020, 4079, 236761, 1637, 625, 236789, 236751, 236743, 236828, 236771, 653, 3426, 236764, 1164, 2072, 506, 6317, 532, 20327, 506, 49248, 2426, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22487, 1083, 78493, 547, 1083, 623, 17614, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236874, 1181, 4644, 9064, 6156, 9904, 41218, 623, 92506, 236779, 8318, 1083, 236743, 236828, 236832, 236764, 623, 10540, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17614, 236779, 236770, 236778, 236800, 236812, 236810, 236761, 2720, 236812, 23179, 3714, 547, 1083, 623, 17614, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 80262, 117567, 657, 110168, 24933, 827, 623, 92506, 236779, 8318, 1083, 236743, 236819, 236800, 236764, 623, 10540, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17614, 236779, 236825, 236832, 236828, 236819, 236771, 236761, 2720, 236812, 23179, 3714, 547, 1083, 623, 17614, 236779, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 236874, 1181, 4644, 7728, 4855, 61353, 70731, 827, 623, 92506, 236779, 8318, 1083, 236743, 236832, 236825, 236764, 623, 10540, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17614, 236779, 236810, 236812, 236800, 236778, 236770, 236761, 2720, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 92506, 236779, 8318, 1083, 236743, 236828, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 236874, 1181, 4644, 38039, 827, 623, 511, 236779, 19448, 1083, 1847, 236764, 623, 215582, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 818, 15154, 6317, 573, 506, 1903, 997, 236874, 1181, 4644, 2948, 6791, 236874, 1181, 4644, 9064, 6156, 9904, 26577, 563, 5213, 236828, 236810, 125546, 837, 563, 2787, 506, 236743, 236828, 236771, 14272, 236761, 669, 150167, 623, 236874, 1181, 4644, 38039, 236775, 815, 1010, 15593, 573, 49248, 532, 563, 5213, 19448, 1018, 568, 1904, 19205, 3847, 769, 236743, 108, 1018, 211199, 66515, 101685, 607, 506, 7073, 8912, 1699, 506, 150167, 623, 236874, 1181, 4644, 38039, 236775, 618, 625, 100146, 607, 1494, 236772, 92506, 8340, 3004, 532, 815, 951, 49248, 4342, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 30493, 1023, 9427, 236789, 236751, 9760, 4103, 3605, 236764, 532, 692, 236789, 500, 18482, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 2148, 2069, 236761, 564, 1202, 506, 5618, 529, 506, 1689, 20473, 573, 506, 2460, 1948, 236761, 564, 6976, 872, 506, 94345, 5853, 573, 506, 6387, 237028, 1220, 236771, 236771, 236810, 236825, 236810, 236819, 236778, 237028, 624, 564, 691, 18430, 611, 1451, 33205, 506, 1689, 20473, 236789, 5618, 1699, 600, 5853, 236761, 1030, 236858, 236751, 1010, 1518, 2338, 564, 236858, 560, 3472, 506, 4103, 236764, 532, 564, 1461, 531, 1386, 2889, 692, 6327, 4677, 15195, 528, 506, 42527, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3241, 236779, 81746, 1083, 11058, 165257, 100964, 827, 623, 35899, 13741, 3700, 827, 623, 95170, 760, 219128, 14255, 623, 4818, 1083, 623, 10934, 827, 623, 3250, 1083, 623, 2021, 45045, 496, 49499, 522, 18140, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1689, 20473, 573, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 568, 2783, 21845, 5853, 236787, 44714, 236771, 236771, 236810, 236825, 236810, 236819, 236778, 236768, 52236, 10428, 236787, 108, 236772, 5213, 165257, 100964, 1018, 138, 107, 236772, 5213, 35899, 13741, 3700, 1018, 138, 107, 236772, 5213, 95170, 760, 219128, 1018, 138, 108, 2094, 1938, 1374, 577, 4011, 573, 822, 2460, 1948, 236761, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 236743, 245357, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30493, 1023, 9427, 236789, 236751, 9760, 4103, 3605, 236764, 532, 692, 236789, 500, 18482, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 2148, 2069, 236761, 564, 1202, 506, 5618, 529, 506, 1689, 20473, 573, 506, 2460, 1948, 236761, 564, 6976, 872, 506, 94345, 5853, 573, 506, 6387, 237028, 1220, 236771, 236771, 236810, 236825, 236810, 236819, 236778, 237028, 624, 564, 691, 18430, 611, 1451, 33205, 506, 1689, 20473, 236789, 5618, 1699, 600, 5853, 236761, 1030, 236858, 236751, 1010, 1518, 2338, 564, 236858, 560, 3472, 506, 4103, 236764, 532, 564, 1461, 531, 1386, 2889, 692, 6327, 4677, 15195, 528, 506, 42527, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3241, 236779, 81746, 1083, 11058, 165257, 100964, 827, 623, 35899, 13741, 3700, 827, 623, 95170, 760, 219128, 14255, 623, 4818, 1083, 623, 10934, 827, 623, 3250, 1083, 623, 2021, 45045, 496, 49499, 522, 18140, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1689, 20473, 573, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 568, 2783, 21845, 5853, 236787, 44714, 236771, 236771, 236810, 236825, 236810, 236819, 236778, 236768, 52236, 10428, 236787, 108, 236772, 5213, 165257, 100964, 1018, 138, 107, 236772, 5213, 35899, 13741, 3700, 1018, 138, 107, 236772, 5213, 95170, 760, 219128, 1018, 138, 108, 2094, 1938, 1374, 577, 4011, 573, 822, 2460, 1948, 236761, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 236743, 245357, 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, 54152, 699, 114044, 236764, 15009, 236761, 564, 236789, 236757, 6514, 872, 496, 3399, 7972, 2460, 532, 1202, 822, 1601, 607, 1156, 2432, 236761, 5315, 236764, 564, 1202, 506, 4453, 40899, 532, 50550, 573, 114044, 236764, 15009, 237028, 3307, 222549, 2514, 10980, 768, 564, 735, 506, 1447, 15375, 236764, 532, 564, 1537, 236789, 236745, 1461, 531, 6921, 872, 506, 3207, 607, 114044, 236764, 23316, 236888, 4298, 236764, 564, 236789, 236753, 2765, 496, 14993, 1003, 3399, 26318, 531, 2247, 580, 1023, 106643, 236761, 28344, 611, 974, 1800, 573, 786, 236881, 564, 236858, 560, 2506, 496, 13181, 8224, 4891, 872, 236764, 834, 564, 236858, 236753, 14756, 625, 768, 611, 1451, 4260, 855, 506, 15375, 1171, 1680, 26231, 506, 14993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 17224, 6914, 236764, 15009, 827, 623, 37673, 1083, 236743, 236800, 236812, 236761, 236828, 236810, 236778, 236810, 236764, 623, 41713, 1083, 753, 236828, 236778, 236761, 236800, 236819, 236825, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 20263, 1083, 623, 902, 496, 3399, 7972, 236764, 692, 3732, 15003, 529, 4614, 532, 14919, 506, 16391, 529, 218013, 10498, 623, 6386, 1083, 623, 97446, 827, 623, 10618, 1083, 623, 37939, 7972, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236764, 623, 6725, 1083, 236743, 236770, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 822, 3399, 7972, 2460, 236787, 108, 1018, 58713, 573, 114044, 236764, 15009, 53121, 138, 107, 104548, 236787, 236743, 236800, 236812, 236761, 236828, 236810, 236778, 236810, 138, 107, 109433, 236787, 753, 236828, 236778, 236761, 236800, 236819, 236825, 236770, 138, 108, 1018, 46640, 19871, 56892, 573, 123316, 53121, 138, 107, 71510, 902, 496, 3399, 7972, 236764, 692, 3732, 15003, 529, 4614, 532, 14919, 506, 16391, 529, 218013, 1781, 236829, 138, 107, 237028, 98033, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 54152, 699, 114044, 236764, 15009, 236761, 564, 236789, 236757, 6514, 872, 496, 3399, 7972, 2460, 532, 1202, 822, 1601, 607, 1156, 2432, 236761, 5315, 236764, 564, 1202, 506, 4453, 40899, 532, 50550, 573, 114044, 236764, 15009, 237028, 3307, 222549, 2514, 10980, 768, 564, 735, 506, 1447, 15375, 236764, 532, 564, 1537, 236789, 236745, 1461, 531, 6921, 872, 506, 3207, 607, 114044, 236764, 23316, 236888, 4298, 236764, 564, 236789, 236753, 2765, 496, 14993, 1003, 3399, 26318, 531, 2247, 580, 1023, 106643, 236761, 28344, 611, 974, 1800, 573, 786, 236881, 564, 236858, 560, 2506, 496, 13181, 8224, 4891, 872, 236764, 834, 564, 236858, 236753, 14756, 625, 768, 611, 1451, 4260, 855, 506, 15375, 1171, 1680, 26231, 506, 14993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 17224, 6914, 236764, 15009, 827, 623, 37673, 1083, 236743, 236800, 236812, 236761, 236828, 236810, 236778, 236810, 236764, 623, 41713, 1083, 753, 236828, 236778, 236761, 236800, 236819, 236825, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 20263, 1083, 623, 902, 496, 3399, 7972, 236764, 692, 3732, 15003, 529, 4614, 532, 14919, 506, 16391, 529, 218013, 10498, 623, 6386, 1083, 623, 97446, 827, 623, 10618, 1083, 623, 37939, 7972, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236764, 623, 6725, 1083, 236743, 236770, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 822, 3399, 7972, 2460, 236787, 108, 1018, 58713, 573, 114044, 236764, 15009, 53121, 138, 107, 104548, 236787, 236743, 236800, 236812, 236761, 236828, 236810, 236778, 236810, 138, 107, 109433, 236787, 753, 236828, 236778, 236761, 236800, 236819, 236825, 236770, 138, 108, 1018, 46640, 19871, 56892, 573, 123316, 53121, 138, 107, 71510, 902, 496, 3399, 7972, 236764, 692, 3732, 15003, 529, 4614, 532, 14919, 506, 16391, 529, 218013, 1781, 236829, 138, 107, 237028, 98033, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 2523, 22658, 573, 1041, 12198, 236789, 236751, 16038, 3517, 236761, 5315, 236764, 564, 1202, 531, 974, 496, 14993, 1003, 2523, 531, 3204, 528, 614, 4553, 25417, 236761, 4298, 236764, 564, 236789, 236753, 1133, 4252, 15136, 573, 506, 2460, 753, 2613, 6672, 26135, 2338, 1041, 12198, 18178, 600, 236761, 564, 992, 1202, 531, 1900, 13153, 573, 3043, 6050, 699, 50731, 44894, 236761, 3199, 611, 1601, 786, 607, 784, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 23301, 563, 1298, 1972, 12502, 532, 2765, 2752, 10842, 10498, 623, 6386, 1083, 623, 41387, 827, 623, 9088, 1083, 623, 10774, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 3250, 1083, 623, 4967, 603, 30341, 827, 623, 31040, 1083, 623, 18939, 41770, 585, 23179, 3714, 3250, 1083, 623, 236780, 1102, 3025, 639, 17325, 827, 623, 31040, 1083, 623, 78884, 24914, 86734, 569, 49143, 160285, 236752, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 23179, 3714, 3250, 1083, 623, 4976, 10333, 569, 759, 233787, 827, 623, 31040, 1083, 623, 96630, 122711, 23179, 3714, 3250, 1083, 623, 4967, 65283, 19708, 827, 623, 31040, 1083, 623, 236799, 5928, 2876, 4899, 7244, 25938, 1604, 623, 159358, 236779, 65141, 524, 1083, 11058, 70160, 827, 623, 58843, 827, 623, 79017, 827, 623, 4545, 63476, 14255, 623, 67422, 236779, 19001, 1083, 623, 236812, 236810, 4310, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 4818, 1083, 623, 87877, 827, 623, 7633, 1083, 11058, 14123, 14403, 827, 623, 508, 3537, 79630, 695, 827, 623, 514, 163412, 827, 623, 236755, 39038, 827, 623, 89754, 29979, 827, 623, 98505, 71072, 14255, 623, 6457, 236779, 7125, 1083, 623, 107305, 827, 623, 2400, 236779, 2086, 1083, 623, 28602, 827, 623, 104094, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 8907, 611, 607, 784, 1806, 10217, 529, 822, 2523, 22658, 6995, 236787, 108, 236770, 236761, 5213, 23301, 56892, 1018, 568, 2543, 974, 236779, 236746, 236779, 7513, 236779, 20263, 236779, 135816, 236779, 2003, 236779, 236746, 236779, 15396, 236779, 9088, 1473, 107, 139, 236775, 23301, 563, 1298, 1972, 12502, 532, 2765, 2752, 10842, 1781, 753, 60355, 108, 236778, 236761, 5213, 63190, 26135, 11796, 91330, 1018, 568, 2543, 974, 236779, 26873, 236779, 85038, 847, 1473, 107, 139, 113172, 5132, 236787, 107, 139, 236772, 623, 4967, 603, 30341, 236775, 684, 7383, 41770, 585, 107, 139, 236772, 623, 236780, 1102, 3025, 639, 17325, 236775, 684, 22179, 24914, 86734, 569, 49143, 160285, 84550, 107, 139, 236772, 623, 4976, 10333, 569, 759, 233787, 236775, 684, 24913, 122711, 107, 139, 236772, 623, 4967, 65283, 19708, 236775, 684, 133514, 2876, 4899, 7244, 107, 139, 236769, 236812, 236810, 236772, 20353, 37017, 44262, 607, 15583, 236764, 47402, 236764, 67748, 236764, 532, 2556, 63476, 236768, 108, 236800, 236761, 5213, 77302, 44894, 12045, 1018, 568, 2543, 3697, 236779, 152996, 236779, 2400, 1473, 107, 139, 9067, 997, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 10778, 657, 24278, 4762, 573, 236787, 107, 139, 236772, 18705, 14403, 107, 139, 236772, 1455, 3537, 79630, 695, 107, 139, 236772, 116255, 236751, 107, 139, 236772, 166713, 107, 139, 236772, 143812, 29979, 107, 139, 236772, 42949, 71072, 107, 139, 236769, 49074, 236772, 21928, 1900, 10778, 657, 236743, 236778, 236787, 236778, 236778, 8711, 59528, 236768, 108, 38786, 611, 1133, 786, 531, 1601, 2619, 506, 4553, 25417, 1699, 506, 14993, 532, 4252, 15136, 236881, 106, 107, 105, 2364, 107, 2021, 236787, 1041, 236779, 141047, 236940, 19645, 236761, 854, 30538, 236787, 21764, 47330, 65445, 236888, 219430, 5180, 26922, 607, 74638, 21307, 236787, 98932, 2533, 144224, 236764, 623, 23301, 563, 1298, 1972, 12502, 532, 2765, 2752, 10842, 1781, 1191, 236858, 859, 17159, 822, 3517, 607, 236787, 236743, 244722, 43899, 26135, 44262, 236787, 753, 2774, 603, 30341, 684, 7383, 41770, 585, 753, 565, 1102, 3025, 639, 17325, 684, 22179, 24914, 86734, 753, 2876, 10333, 569, 759, 233787, 684, 122711, 753, 2774, 65283, 19708, 684, 133514, 2876, 4899, 7244, 236743, 249407, 5180, 6050, 13153, 568, 9067, 997, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 236768, 659, 5508, 657, 50731, 44894, 236888, 3199, 236858, 236745, 4491, 531, 1460, 611, 236888, 1700, 215368, 236764, 82153, 1925, 4560, 1411, 5265, 236761, 57608, 236761, 854, 236786, 67422, 236786, 236800, 236749, 123622, 236763, 236811, 236810, 236935, 107527, 236828, 236791, 236819, 236770, 236847, 71269, 236804, 236819, 932, 236766, 236881, 5399, 236784, 236812, 236746, 236832, 236755, 236828, 236810, 16652, 236825, 236763, 236832, 236753, 236812, 236753, 236810, 236744, 163869, 236888, 669, 41801, 3205, 11286, 2451, 8428, 236761, 3792, 786, 1138, 506, 44262, 4889, 5467, 531, 506, 4553, 5205, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 6774, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 623, 3307, 236779, 141047, 236940, 19645, 236761, 854, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 5265, 236761, 57608, 236761, 854, 236786, 67422, 236786, 236800, 236749, 123622, 236763, 236811, 236810, 236935, 107527, 236828, 236791, 236819, 236770, 236847, 71269, 236804, 236819, 932, 236766, 236881, 5399, 236784, 236812, 236746, 236832, 236755, 236828, 236810, 16652, 236825, 236763, 236832, 236753, 236812, 236753, 236810, 236744, 827, 623, 3250, 1083, 623, 63190, 26135, 11796, 573, 12831, 68137, 1013, 827, 623, 7777, 1083, 623, 236776, 67722, 44262, 18482, 9760, 26135, 26497, 12384, 532, 35542, 16710, 4011, 573, 37017, 2523, 42927, 10498, 623, 3871, 1083, 78493, 2451, 1083, 623, 2574, 1411, 236747, 236761, 234171, 236761, 1364, 236786, 3304, 236786, 596, 236825, 236832, 236832, 236771, 236825, 236760, 236771, 236771, 236771, 236771, 236763, 236778, 236832, 236800, 236760, 236832, 3864, 236812, 236800, 236778, 236819, 236778, 236746, 236825, 236746, 236819, 236819, 236763, 236778, 236770, 236760, 236800, 236770, 236746, 236800, 236810, 236744, 827, 623, 2690, 1083, 236743, 236825, 236812, 236771, 236764, 623, 4603, 1083, 236743, 236825, 236812, 236771, 104960, 623, 40232, 1083, 17811, 623, 19645, 1083, 623, 5265, 236761, 57608, 236761, 854, 827, 623, 2084, 1083, 623, 26873, 236761, 67422, 827, 623, 7655, 1083, 3714, 6386, 1083, 623, 153090, 827, 623, 41427, 1083, 11058, 158333, 26497, 4252, 827, 623, 10774, 22658, 827, 623, 64915, 4252, 14255, 623, 32071, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 7633, 1083, 78493, 3250, 1083, 623, 4967, 603, 30341, 753, 7383, 41770, 585, 827, 623, 2084, 1083, 623, 26873, 236761, 24013, 23179, 3714, 3250, 1083, 623, 236780, 1102, 3025, 639, 17325, 753, 22179, 24914, 86734, 569, 49143, 160285, 236752, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 827, 623, 2084, 1083, 623, 26873, 236761, 24013, 23179, 3714, 3250, 1083, 623, 4976, 10333, 569, 759, 233787, 753, 43899, 827, 623, 2084, 1083, 623, 26873, 236761, 58644, 514, 236775, 165075, 106, 107, 105, 4368, 107, 11069, 2523, 22658, 6995, 563, 4133, 236888, 5715, 236789, 236751, 4326, 600, 236789, 236751, 1010, 21699, 236787, 108, 236770, 236761, 5213, 11919, 122484, 30054, 1018, 236743, 251184, 107, 139, 236772, 191852, 531, 236787, 1041, 236779, 141047, 236940, 19645, 236761, 854, 107, 139, 236772, 30538, 236787, 21764, 47330, 65445, 236888, 219430, 5180, 26922, 607, 74638, 107, 139, 236772, 49308, 236787, 12831, 14993, 236764, 4252, 44262, 4889, 236764, 532, 50731, 44894, 1900, 26093, 108, 236778, 236761, 5213, 63190, 26135, 144095, 1018, 236743, 244722, 107, 139, 236772, 41801, 3205, 236787, 870, 63190, 26135, 11796, 573, 12831, 68137, 1013, 5457, 2574, 1411, 5265, 236761, 57608, 236761, 854, 236786, 67422, 236786, 236800, 236749, 123622, 236763, 236811, 236810, 236935, 107527, 236828, 236791, 236819, 236770, 236847, 71269, 236804, 236819, 932, 236766, 236881, 5399, 236784, 236812, 236746, 236832, 236755, 236828, 236810, 16652, 236825, 236763, 236832, 236753, 236812, 236753, 236810, 236744, 236768, 107, 139, 236772, 108632, 11421, 236787, 7383, 41770, 585, 236764, 22179, 24914, 86734, 236764, 122711, 236764, 532, 133514, 2876, 4899, 7244, 107, 139, 236772, 144095, 6492, 236787, 27847, 26135, 26497, 12384, 532, 35542, 16710, 573, 37017, 42927, 108, 236800, 236761, 5213, 209535, 80225, 94664, 1018, 236743, 249407, 107, 139, 236772, 12045, 997, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 10778, 657, 50731, 44894, 24278, 107, 139, 236772, 80225, 5508, 573, 35312, 236786, 5976, 658, 107, 139, 236772, 49308, 236787, 49430, 236764, 79630, 695, 236764, 96210, 236764, 47442, 236764, 19555, 29979, 236764, 532, 12480, 71072, 108, 11069, 12198, 795, 5908, 1116, 25417, 607, 784, 506, 19138, 4889, 236764, 532, 611, 236789, 500, 784, 1076, 573, 496, 10455, 2523, 22658, 18482, 6672, 26135, 4252, 532, 31412, 6050, 236888, 2375, 993, 4658, 1663, 611, 236789, 236753, 1133, 531, 1138, 653, 6253, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 2523, 22658, 573, 1041, 12198, 236789, 236751, 16038, 3517, 236761, 5315, 236764, 564, 1202, 531, 974, 496, 14993, 1003, 2523, 531, 3204, 528, 614, 4553, 25417, 236761, 4298, 236764, 564, 236789, 236753, 1133, 4252, 15136, 573, 506, 2460, 753, 2613, 6672, 26135, 2338, 1041, 12198, 18178, 600, 236761, 564, 992, 1202, 531, 1900, 13153, 573, 3043, 6050, 699, 50731, 44894, 236761, 3199, 611, 1601, 786, 607, 784, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 23301, 563, 1298, 1972, 12502, 532, 2765, 2752, 10842, 10498, 623, 6386, 1083, 623, 41387, 827, 623, 9088, 1083, 623, 10774, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 3250, 1083, 623, 4967, 603, 30341, 827, 623, 31040, 1083, 623, 18939, 41770, 585, 23179, 3714, 3250, 1083, 623, 236780, 1102, 3025, 639, 17325, 827, 623, 31040, 1083, 623, 78884, 24914, 86734, 569, 49143, 160285, 236752, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 23179, 3714, 3250, 1083, 623, 4976, 10333, 569, 759, 233787, 827, 623, 31040, 1083, 623, 96630, 122711, 23179, 3714, 3250, 1083, 623, 4967, 65283, 19708, 827, 623, 31040, 1083, 623, 236799, 5928, 2876, 4899, 7244, 25938, 1604, 623, 159358, 236779, 65141, 524, 1083, 11058, 70160, 827, 623, 58843, 827, 623, 79017, 827, 623, 4545, 63476, 14255, 623, 67422, 236779, 19001, 1083, 623, 236812, 236810, 4310, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 4818, 1083, 623, 87877, 827, 623, 7633, 1083, 11058, 14123, 14403, 827, 623, 508, 3537, 79630, 695, 827, 623, 514, 163412, 827, 623, 236755, 39038, 827, 623, 89754, 29979, 827, 623, 98505, 71072, 14255, 623, 6457, 236779, 7125, 1083, 623, 107305, 827, 623, 2400, 236779, 2086, 1083, 623, 28602, 827, 623, 104094, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 8907, 611, 607, 784, 1806, 10217, 529, 822, 2523, 22658, 6995, 236787, 108, 236770, 236761, 5213, 23301, 56892, 1018, 568, 2543, 974, 236779, 236746, 236779, 7513, 236779, 20263, 236779, 135816, 236779, 2003, 236779, 236746, 236779, 15396, 236779, 9088, 1473, 107, 139, 236775, 23301, 563, 1298, 1972, 12502, 532, 2765, 2752, 10842, 1781, 753, 60355, 108, 236778, 236761, 5213, 63190, 26135, 11796, 91330, 1018, 568, 2543, 974, 236779, 26873, 236779, 85038, 847, 1473, 107, 139, 113172, 5132, 236787, 107, 139, 236772, 623, 4967, 603, 30341, 236775, 684, 7383, 41770, 585, 107, 139, 236772, 623, 236780, 1102, 3025, 639, 17325, 236775, 684, 22179, 24914, 86734, 569, 49143, 160285, 84550, 107, 139, 236772, 623, 4976, 10333, 569, 759, 233787, 236775, 684, 24913, 122711, 107, 139, 236772, 623, 4967, 65283, 19708, 236775, 684, 133514, 2876, 4899, 7244, 107, 139, 236769, 236812, 236810, 236772, 20353, 37017, 44262, 607, 15583, 236764, 47402, 236764, 67748, 236764, 532, 2556, 63476, 236768, 108, 236800, 236761, 5213, 77302, 44894, 12045, 1018, 568, 2543, 3697, 236779, 152996, 236779, 2400, 1473, 107, 139, 9067, 997, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 10778, 657, 24278, 4762, 573, 236787, 107, 139, 236772, 18705, 14403, 107, 139, 236772, 1455, 3537, 79630, 695, 107, 139, 236772, 116255, 236751, 107, 139, 236772, 166713, 107, 139, 236772, 143812, 29979, 107, 139, 236772, 42949, 71072, 107, 139, 236769, 49074, 236772, 21928, 1900, 10778, 657, 236743, 236778, 236787, 236778, 236778, 8711, 59528, 236768, 108, 38786, 611, 1133, 786, 531, 1601, 2619, 506, 4553, 25417, 1699, 506, 14993, 532, 4252, 15136, 236881, 106, 107, 105, 2364, 107, 2021, 236787, 1041, 236779, 141047, 236940, 19645, 236761, 854, 30538, 236787, 21764, 47330, 65445, 236888, 219430, 5180, 26922, 607, 74638, 21307, 236787, 98932, 2533, 144224, 236764, 623, 23301, 563, 1298, 1972, 12502, 532, 2765, 2752, 10842, 1781, 1191, 236858, 859, 17159, 822, 3517, 607, 236787, 236743, 244722, 43899, 26135, 44262, 236787, 753, 2774, 603, 30341, 684, 7383, 41770, 585, 753, 565, 1102, 3025, 639, 17325, 684, 22179, 24914, 86734, 753, 2876, 10333, 569, 759, 233787, 684, 122711, 753, 2774, 65283, 19708, 684, 133514, 2876, 4899, 7244, 236743, 249407, 5180, 6050, 13153, 568, 9067, 997, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 236768, 659, 5508, 657, 50731, 44894, 236888, 3199, 236858, 236745, 4491, 531, 1460, 611, 236888, 1700, 215368, 236764, 82153, 1925, 4560, 1411, 5265, 236761, 57608, 236761, 854, 236786, 67422, 236786, 236800, 236749, 123622, 236763, 236811, 236810, 236935, 107527, 236828, 236791, 236819, 236770, 236847, 71269, 236804, 236819, 932, 236766, 236881, 5399, 236784, 236812, 236746, 236832, 236755, 236828, 236810, 16652, 236825, 236763, 236832, 236753, 236812, 236753, 236810, 236744, 163869, 236888, 669, 41801, 3205, 11286, 2451, 8428, 236761, 3792, 786, 1138, 506, 44262, 4889, 5467, 531, 506, 4553, 5205, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 6774, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 623, 3307, 236779, 141047, 236940, 19645, 236761, 854, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 5265, 236761, 57608, 236761, 854, 236786, 67422, 236786, 236800, 236749, 123622, 236763, 236811, 236810, 236935, 107527, 236828, 236791, 236819, 236770, 236847, 71269, 236804, 236819, 932, 236766, 236881, 5399, 236784, 236812, 236746, 236832, 236755, 236828, 236810, 16652, 236825, 236763, 236832, 236753, 236812, 236753, 236810, 236744, 827, 623, 3250, 1083, 623, 63190, 26135, 11796, 573, 12831, 68137, 1013, 827, 623, 7777, 1083, 623, 236776, 67722, 44262, 18482, 9760, 26135, 26497, 12384, 532, 35542, 16710, 4011, 573, 37017, 2523, 42927, 10498, 623, 3871, 1083, 78493, 2451, 1083, 623, 2574, 1411, 236747, 236761, 234171, 236761, 1364, 236786, 3304, 236786, 596, 236825, 236832, 236832, 236771, 236825, 236760, 236771, 236771, 236771, 236771, 236763, 236778, 236832, 236800, 236760, 236832, 3864, 236812, 236800, 236778, 236819, 236778, 236746, 236825, 236746, 236819, 236819, 236763, 236778, 236770, 236760, 236800, 236770, 236746, 236800, 236810, 236744, 827, 623, 2690, 1083, 236743, 236825, 236812, 236771, 236764, 623, 4603, 1083, 236743, 236825, 236812, 236771, 104960, 623, 40232, 1083, 17811, 623, 19645, 1083, 623, 5265, 236761, 57608, 236761, 854, 827, 623, 2084, 1083, 623, 26873, 236761, 67422, 827, 623, 7655, 1083, 3714, 6386, 1083, 623, 153090, 827, 623, 41427, 1083, 11058, 158333, 26497, 4252, 827, 623, 10774, 22658, 827, 623, 64915, 4252, 14255, 623, 32071, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 7633, 1083, 78493, 3250, 1083, 623, 4967, 603, 30341, 753, 7383, 41770, 585, 827, 623, 2084, 1083, 623, 26873, 236761, 24013, 23179, 3714, 3250, 1083, 623, 236780, 1102, 3025, 639, 17325, 753, 22179, 24914, 86734, 569, 49143, 160285, 236752, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 827, 623, 2084, 1083, 623, 26873, 236761, 24013, 23179, 3714, 3250, 1083, 623, 4976, 10333, 569, 759, 233787, 753, 43899, 827, 623, 2084, 1083, 623, 26873, 236761, 58644, 514, 236775, 165075, 106, 107, 105, 4368, 107, 11069, 2523, 22658, 6995, 563, 4133, 236888, 5715, 236789, 236751, 4326, 600, 236789, 236751, 1010, 21699, 236787, 108, 236770, 236761, 5213, 11919, 122484, 30054, 1018, 236743, 251184, 107, 139, 236772, 191852, 531, 236787, 1041, 236779, 141047, 236940, 19645, 236761, 854, 107, 139, 236772, 30538, 236787, 21764, 47330, 65445, 236888, 219430, 5180, 26922, 607, 74638, 107, 139, 236772, 49308, 236787, 12831, 14993, 236764, 4252, 44262, 4889, 236764, 532, 50731, 44894, 1900, 26093, 108, 236778, 236761, 5213, 63190, 26135, 144095, 1018, 236743, 244722, 107, 139, 236772, 41801, 3205, 236787, 870, 63190, 26135, 11796, 573, 12831, 68137, 1013, 5457, 2574, 1411, 5265, 236761, 57608, 236761, 854, 236786, 67422, 236786, 236800, 236749, 123622, 236763, 236811, 236810, 236935, 107527, 236828, 236791, 236819, 236770, 236847, 71269, 236804, 236819, 932, 236766, 236881, 5399, 236784, 236812, 236746, 236832, 236755, 236828, 236810, 16652, 236825, 236763, 236832, 236753, 236812, 236753, 236810, 236744, 236768, 107, 139, 236772, 108632, 11421, 236787, 7383, 41770, 585, 236764, 22179, 24914, 86734, 236764, 122711, 236764, 532, 133514, 2876, 4899, 7244, 107, 139, 236772, 144095, 6492, 236787, 27847, 26135, 26497, 12384, 532, 35542, 16710, 573, 37017, 42927, 108, 236800, 236761, 5213, 209535, 80225, 94664, 1018, 236743, 249407, 107, 139, 236772, 12045, 997, 60573, 236819, 236828, 236832, 236825, 236810, 236812, 10778, 657, 50731, 44894, 24278, 107, 139, 236772, 80225, 5508, 573, 35312, 236786, 5976, 658, 107, 139, 236772, 49308, 236787, 49430, 236764, 79630, 695, 236764, 96210, 236764, 47442, 236764, 19555, 29979, 236764, 532, 12480, 71072, 108, 11069, 12198, 795, 5908, 1116, 25417, 607, 784, 506, 19138, 4889, 236764, 532, 611, 236789, 500, 784, 1076, 573, 496, 10455, 2523, 22658, 18482, 6672, 26135, 4252, 532, 31412, 6050, 236888, 2375, 993, 4658, 1663, 611, 236789, 236753, 1133, 531, 1138, 653, 6253, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236804, 2551, 236779, 14473, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14473, 1083, 3714, 38556, 1083, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 236764, 623, 142026, 1083, 236743, 236770, 236819, 236828, 236761, 236812, 236800, 236764, 623, 9353, 236874, 1083, 236743, 236778, 236778, 236761, 236770, 236828, 236764, 623, 65742, 1083, 236743, 236819, 236828, 236761, 236832, 236825, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 12139, 81027, 568, 198481, 236768, 8770, 6224, 2342, 3262, 48234, 236787, 108, 236772, 5213, 38556, 568, 3118, 46754, 1473, 1018, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 730, 22965, 810, 23058, 138, 107, 236772, 5213, 142026, 568, 53485, 105511, 1473, 1018, 236743, 236770, 236819, 236828, 236761, 236812, 236800, 730, 22965, 810, 109384, 138, 107, 236772, 5213, 9353, 236874, 568, 48308, 54409, 1473, 1018, 236743, 236778, 236778, 236761, 236770, 236828, 730, 22965, 810, 235807, 138, 107, 236772, 5213, 65742, 568, 78490, 46754, 1473, 1018, 236743, 236819, 236828, 236761, 236832, 236825, 730, 22965, 810, 72939, 138, 108, 2094, 2820, 236764, 573, 2591, 236764, 5213, 236770, 2590, 46754, 14339, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 12139, 81027, 1018, 2721, 580, 506, 6524, 8770, 3136, 1262, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 653, 63680, 236888, 106, 107, 105, 2364, 107, 10880, 236779, 27617, 236779, 16754, 236787, 24439, 236743, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 12139, 81027, 568, 198481, 236768, 531, 2590, 92523, 568, 38556, 236768, 1699, 506, 1873, 8770, 3136, 236761, 1174, 563, 573, 496, 7715, 14988, 573, 496, 11825, 5431, 2203, 528, 83510, 600, 7087, 25985, 5417, 699, 6056, 236761, 7323, 1407, 506, 23093, 6555, 1699, 506, 3136, 3847, 528, 822, 3527, 3072, 236761, 106, 107, 105, 4368, 107, 2021, 7352, 5213, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 12139, 81027, 568, 198481, 62902, 531, 5213, 3118, 92523, 568, 38556, 62902, 1699, 506, 8770, 3136, 529, 5213, 236770, 236810, 236825, 236761, 236778, 236810, 730, 22965, 810, 23058, 1018, 568, 2543, 506, 3527, 3072, 1473, 108, 10354, 5213, 161706, 50228, 53121, 107, 236770, 236761, 5213, 55123, 25870, 53121, 138, 107, 139, 236795, 236743, 236770, 20832, 621, 1005, 236782, 38556, 236783, 578, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 20832, 621, 1005, 236782, 198481, 236783, 609, 108, 236778, 236761, 5213, 79670, 53121, 138, 107, 139, 9873, 107, 139, 236785, 1005, 236782, 17464, 528, 23058, 236783, 578, 621, 1420, 1564, 1005, 236782, 17464, 528, 730, 22965, 10024, 1005, 236782, 55123, 25870, 568, 198481, 810, 23058, 58394, 107, 139, 9873, 108, 236800, 236761, 5213, 120609, 53121, 138, 107, 139, 9873, 107, 139, 236785, 1005, 236782, 17464, 528, 23058, 236783, 578, 621, 1420, 236782, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 20832, 621, 1005, 236782, 198481, 5763, 236770, 236810, 236825, 236761, 236778, 236810, 20832, 621, 1005, 236782, 198481, 236786, 38556, 1807, 578, 236743, 236800, 236764, 236778, 236771, 236771, 20832, 621, 1005, 236782, 38556, 236783, 107, 139, 9873, 108, 10354, 5213, 4116, 53121, 138, 107, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 730, 22965, 14339, 5213, 236800, 236764, 236778, 236771, 236771, 23058, 1018, 657, 506, 1873, 8770, 3136, 236761, 138, 108, 2094, 14274, 563, 6749, 573, 822, 11825, 5431, 2203, 7715, 528, 83510, 236764, 17096, 11459, 2157, 22851, 573, 5417, 25985, 699, 6056, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 16718, 236779, 14473, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 1083, 623, 65742, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 14473, 1083, 3714, 38556, 1083, 236743, 236771, 236761, 236825, 236825, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236825, 236770, 236764, 623, 142026, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 198481, 1083, 236743, 236819, 236800, 236761, 236812, 236810, 236764, 623, 65742, 1083, 236743, 236770, 236761, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 13382, 46754, 568, 65742, 236768, 8770, 6224, 618, 529, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 108, 236772, 5213, 38556, 568, 3118, 46754, 1473, 1018, 236743, 236771, 236761, 236825, 236825, 138, 107, 236772, 5213, 79271, 568, 66574, 1473, 1018, 236743, 236771, 236761, 236825, 236770, 138, 107, 236772, 5213, 142026, 568, 53485, 105511, 1473, 1018, 236743, 236771, 236761, 236810, 236778, 138, 107, 236772, 5213, 198481, 568, 53187, 81027, 1473, 1018, 236743, 236819, 236800, 236761, 236812, 236810, 138, 107, 236772, 5213, 65742, 568, 78490, 46754, 1473, 1018, 236743, 236770, 236761, 236771, 236771, 138, 108, 10354, 5213, 3689, 1174, 73020, 1018, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236771, 236761, 236825, 236825, 23058, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236771, 236771, 72939, 578, 236743, 236825, 236825, 23058, 236768, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236771, 236761, 236825, 236770, 35594, 1018, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236771, 236761, 236810, 236778, 109384, 1018, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236819, 236800, 236761, 236812, 236810, 730, 22965, 1018, 138, 108, 9208, 6224, 659, 6749, 573, 90352, 822, 11825, 5431, 2203, 528, 83510, 236764, 4285, 573, 5384, 19240, 531, 13382, 23163, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 63680, 653, 30981, 236888, 138, 108, 236829, 10282, 236787, 19651, 6224, 130712, 6376, 237028, 41253, 6224, 12532, 531, 12562, 14069, 573, 10634, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236804, 2551, 236779, 14473, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14473, 1083, 3714, 38556, 1083, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 236764, 623, 142026, 1083, 236743, 236770, 236819, 236828, 236761, 236812, 236800, 236764, 623, 9353, 236874, 1083, 236743, 236778, 236778, 236761, 236770, 236828, 236764, 623, 65742, 1083, 236743, 236819, 236828, 236761, 236832, 236825, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 12139, 81027, 568, 198481, 236768, 8770, 6224, 2342, 3262, 48234, 236787, 108, 236772, 5213, 38556, 568, 3118, 46754, 1473, 1018, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 730, 22965, 810, 23058, 138, 107, 236772, 5213, 142026, 568, 53485, 105511, 1473, 1018, 236743, 236770, 236819, 236828, 236761, 236812, 236800, 730, 22965, 810, 109384, 138, 107, 236772, 5213, 9353, 236874, 568, 48308, 54409, 1473, 1018, 236743, 236778, 236778, 236761, 236770, 236828, 730, 22965, 810, 235807, 138, 107, 236772, 5213, 65742, 568, 78490, 46754, 1473, 1018, 236743, 236819, 236828, 236761, 236832, 236825, 730, 22965, 810, 72939, 138, 108, 2094, 2820, 236764, 573, 2591, 236764, 5213, 236770, 2590, 46754, 14339, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 12139, 81027, 1018, 2721, 580, 506, 6524, 8770, 3136, 1262, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 653, 63680, 236888, 106, 107, 105, 2364, 107, 10880, 236779, 27617, 236779, 16754, 236787, 24439, 236743, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 12139, 81027, 568, 198481, 236768, 531, 2590, 92523, 568, 38556, 236768, 1699, 506, 1873, 8770, 3136, 236761, 1174, 563, 573, 496, 7715, 14988, 573, 496, 11825, 5431, 2203, 528, 83510, 600, 7087, 25985, 5417, 699, 6056, 236761, 7323, 1407, 506, 23093, 6555, 1699, 506, 3136, 3847, 528, 822, 3527, 3072, 236761, 106, 107, 105, 4368, 107, 2021, 7352, 5213, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 12139, 81027, 568, 198481, 62902, 531, 5213, 3118, 92523, 568, 38556, 62902, 1699, 506, 8770, 3136, 529, 5213, 236770, 236810, 236825, 236761, 236778, 236810, 730, 22965, 810, 23058, 1018, 568, 2543, 506, 3527, 3072, 1473, 108, 10354, 5213, 161706, 50228, 53121, 107, 236770, 236761, 5213, 55123, 25870, 53121, 138, 107, 139, 236795, 236743, 236770, 20832, 621, 1005, 236782, 38556, 236783, 578, 236743, 236770, 236810, 236825, 236761, 236778, 236810, 20832, 621, 1005, 236782, 198481, 236783, 609, 108, 236778, 236761, 5213, 79670, 53121, 138, 107, 139, 9873, 107, 139, 236785, 1005, 236782, 17464, 528, 23058, 236783, 578, 621, 1420, 1564, 1005, 236782, 17464, 528, 730, 22965, 10024, 1005, 236782, 55123, 25870, 568, 198481, 810, 23058, 58394, 107, 139, 9873, 108, 236800, 236761, 5213, 120609, 53121, 138, 107, 139, 9873, 107, 139, 236785, 1005, 236782, 17464, 528, 23058, 236783, 578, 621, 1420, 236782, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 20832, 621, 1005, 236782, 198481, 5763, 236770, 236810, 236825, 236761, 236778, 236810, 20832, 621, 1005, 236782, 198481, 236786, 38556, 1807, 578, 236743, 236800, 236764, 236778, 236771, 236771, 20832, 621, 1005, 236782, 38556, 236783, 107, 139, 9873, 108, 10354, 5213, 4116, 53121, 138, 107, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 730, 22965, 14339, 5213, 236800, 236764, 236778, 236771, 236771, 23058, 1018, 657, 506, 1873, 8770, 3136, 236761, 138, 108, 2094, 14274, 563, 6749, 573, 822, 11825, 5431, 2203, 7715, 528, 83510, 236764, 17096, 11459, 2157, 22851, 573, 5417, 25985, 699, 6056, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 16718, 236779, 14473, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 1083, 623, 65742, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 14473, 1083, 3714, 38556, 1083, 236743, 236771, 236761, 236825, 236825, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236825, 236770, 236764, 623, 142026, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 198481, 1083, 236743, 236819, 236800, 236761, 236812, 236810, 236764, 623, 65742, 1083, 236743, 236770, 236761, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 13382, 46754, 568, 65742, 236768, 8770, 6224, 618, 529, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 108, 236772, 5213, 38556, 568, 3118, 46754, 1473, 1018, 236743, 236771, 236761, 236825, 236825, 138, 107, 236772, 5213, 79271, 568, 66574, 1473, 1018, 236743, 236771, 236761, 236825, 236770, 138, 107, 236772, 5213, 142026, 568, 53485, 105511, 1473, 1018, 236743, 236771, 236761, 236810, 236778, 138, 107, 236772, 5213, 198481, 568, 53187, 81027, 1473, 1018, 236743, 236819, 236800, 236761, 236812, 236810, 138, 107, 236772, 5213, 65742, 568, 78490, 46754, 1473, 1018, 236743, 236770, 236761, 236771, 236771, 138, 108, 10354, 5213, 3689, 1174, 73020, 1018, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236771, 236761, 236825, 236825, 23058, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236771, 236771, 72939, 578, 236743, 236825, 236825, 23058, 236768, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236771, 236761, 236825, 236770, 35594, 1018, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236771, 236761, 236810, 236778, 109384, 1018, 138, 107, 236772, 5213, 236770, 72939, 578, 236743, 236819, 236800, 236761, 236812, 236810, 730, 22965, 1018, 138, 108, 9208, 6224, 659, 6749, 573, 90352, 822, 11825, 5431, 2203, 528, 83510, 236764, 4285, 573, 5384, 19240, 531, 13382, 23163, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 63680, 653, 30981, 236888, 138, 108, 236829, 10282, 236787, 19651, 6224, 130712, 6376, 237028, 41253, 6224, 12532, 531, 12562, 14069, 573, 10634, 9603, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 506, 7338, 30778, 4735, 5405, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 12270, 7338, 30778, 4735, 5405, 236761, 669, 1186, 2487, 4735, 6511, 5904, 563, 573, 27169, 5405, 236761, 21284, 611, 1133, 786, 531, 1161, 600, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 506, 7338, 30778, 4735, 5405, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 12270, 7338, 30778, 4735, 5405, 236761, 669, 1186, 2487, 4735, 6511, 5904, 563, 573, 27169, 5405, 236761, 21284, 611, 1133, 786, 531, 1161, 600, 5205, 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, 18855, 496, 7548, 1996, 573, 496, 61989, 1702, 4430, 236764, 532, 564, 236789, 236757, 496, 3103, 20100, 1003, 3978, 1060, 30884, 236761, 669, 4430, 3847, 506, 3733, 1548, 236743, 236812, 236810, 236800, 236778, 236832, 236810, 236825, 236778, 236832, 236819, 236825, 236778, 236812, 236810, 236828, 236819, 236764, 840, 564, 1461, 531, 2426, 768, 625, 236789, 236751, 30781, 1680, 201585, 506, 2203, 1526, 2865, 236761, 3199, 611, 16807, 1061, 28100, 1699, 506, 111535, 236749, 8417, 532, 9128, 506, 3733, 1722, 236881, 564, 5630, 699, 1041, 192638, 15030, 600, 18510, 11949, 236764, 834, 564, 1202, 531, 577, 15318, 1590, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 2416, 236764, 623, 6307, 236779, 2084, 1083, 623, 130820, 827, 623, 236752, 236729, 236779, 4256, 1083, 2416, 236764, 623, 3119, 236779, 4256, 1083, 1847, 236764, 623, 5939, 236779, 4256, 1083, 1847, 236764, 623, 4375, 1083, 623, 9789, 1548, 8428, 111535, 236749, 8417, 18256, 827, 623, 13308, 1083, 3714, 6307, 236779, 5640, 236779, 5455, 236779, 19025, 1083, 623, 236812, 236810, 236828, 236819, 827, 623, 10082, 236779, 6307, 236779, 2084, 1083, 623, 130820, 827, 623, 6725, 236779, 67161, 1083, 236743, 236770, 236825, 236764, 623, 236752, 236729, 236779, 2330, 1083, 236743, 236828, 236812, 1807, 106, 107, 105, 4368, 107, 818, 6327, 3733, 1548, 5213, 236812, 236810, 236800, 236778, 236832, 236810, 236825, 236778, 236832, 236819, 236825, 236778, 236812, 236810, 236828, 236819, 1018, 563, 5213, 2217, 4341, 1018, 2721, 580, 506, 111535, 236749, 8417, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 9789, 9250, 66515, 39544, 568, 37798, 607, 236743, 236812, 236768, 107, 236772, 5213, 8615, 7179, 66515, 73712, 568, 236770, 236825, 26798, 236768, 107, 236772, 5213, 11238, 7179, 66515, 73712, 568, 4730, 7579, 236768, 107, 236772, 5213, 236798, 236729, 7179, 66515, 5213, 24083, 1018, 568, 2330, 578, 236743, 236828, 236812, 236764, 711, 69330, 684, 236743, 236770, 236771, 236768, 107, 236772, 5213, 9008, 236743, 236812, 9429, 1258, 66515, 236743, 236812, 236810, 236828, 236819, 108, 10354, 9533, 12774, 50914, 236787, 107, 236770, 236761, 669, 1548, 563, 96205, 19070, 2779, 531, 111535, 236749, 8800, 236761, 107, 236778, 236761, 7712, 768, 111535, 236749, 6915, 236764, 672, 10369, 236789, 236745, 15246, 506, 3733, 563, 1759, 653, 19278, 236761, 107, 236800, 236761, 5213, 6294, 711, 4242, 672, 7548, 1996, 84750, 13948, 506, 4430, 573, 496, 27662, 7548, 5086, 236761, 108, 2094, 563, 496, 2604, 8134, 237028, 1166, 94843, 3187, 1161, 20190, 3733, 4945, 236761, 101685, 607, 28012, 532, 41038, 580, 496, 9584, 7548, 1996, 1133, 42861, 236764, 4856, 4921, 236764, 653, 496, 27662, 6327, 3733, 24990, 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 ]
[ 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, 18855, 496, 7548, 1996, 573, 496, 61989, 1702, 4430, 236764, 532, 564, 236789, 236757, 496, 3103, 20100, 1003, 3978, 1060, 30884, 236761, 669, 4430, 3847, 506, 3733, 1548, 236743, 236812, 236810, 236800, 236778, 236832, 236810, 236825, 236778, 236832, 236819, 236825, 236778, 236812, 236810, 236828, 236819, 236764, 840, 564, 1461, 531, 2426, 768, 625, 236789, 236751, 30781, 1680, 201585, 506, 2203, 1526, 2865, 236761, 3199, 611, 16807, 1061, 28100, 1699, 506, 111535, 236749, 8417, 532, 9128, 506, 3733, 1722, 236881, 564, 5630, 699, 1041, 192638, 15030, 600, 18510, 11949, 236764, 834, 564, 1202, 531, 577, 15318, 1590, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 2416, 236764, 623, 6307, 236779, 2084, 1083, 623, 130820, 827, 623, 236752, 236729, 236779, 4256, 1083, 2416, 236764, 623, 3119, 236779, 4256, 1083, 1847, 236764, 623, 5939, 236779, 4256, 1083, 1847, 236764, 623, 4375, 1083, 623, 9789, 1548, 8428, 111535, 236749, 8417, 18256, 827, 623, 13308, 1083, 3714, 6307, 236779, 5640, 236779, 5455, 236779, 19025, 1083, 623, 236812, 236810, 236828, 236819, 827, 623, 10082, 236779, 6307, 236779, 2084, 1083, 623, 130820, 827, 623, 6725, 236779, 67161, 1083, 236743, 236770, 236825, 236764, 623, 236752, 236729, 236779, 2330, 1083, 236743, 236828, 236812, 1807, 106, 107, 105, 4368, 107, 818, 6327, 3733, 1548, 5213, 236812, 236810, 236800, 236778, 236832, 236810, 236825, 236778, 236832, 236819, 236825, 236778, 236812, 236810, 236828, 236819, 1018, 563, 5213, 2217, 4341, 1018, 2721, 580, 506, 111535, 236749, 8417, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 9789, 9250, 66515, 39544, 568, 37798, 607, 236743, 236812, 236768, 107, 236772, 5213, 8615, 7179, 66515, 73712, 568, 236770, 236825, 26798, 236768, 107, 236772, 5213, 11238, 7179, 66515, 73712, 568, 4730, 7579, 236768, 107, 236772, 5213, 236798, 236729, 7179, 66515, 5213, 24083, 1018, 568, 2330, 578, 236743, 236828, 236812, 236764, 711, 69330, 684, 236743, 236770, 236771, 236768, 107, 236772, 5213, 9008, 236743, 236812, 9429, 1258, 66515, 236743, 236812, 236810, 236828, 236819, 108, 10354, 9533, 12774, 50914, 236787, 107, 236770, 236761, 669, 1548, 563, 96205, 19070, 2779, 531, 111535, 236749, 8800, 236761, 107, 236778, 236761, 7712, 768, 111535, 236749, 6915, 236764, 672, 10369, 236789, 236745, 15246, 506, 3733, 563, 1759, 653, 19278, 236761, 107, 236800, 236761, 5213, 6294, 711, 4242, 672, 7548, 1996, 84750, 13948, 506, 4430, 573, 496, 27662, 7548, 5086, 236761, 108, 2094, 563, 496, 2604, 8134, 237028, 1166, 94843, 3187, 1161, 20190, 3733, 4945, 236761, 101685, 607, 28012, 532, 41038, 580, 496, 9584, 7548, 1996, 1133, 42861, 236764, 4856, 4921, 236764, 653, 496, 27662, 6327, 3733, 24990, 236761, 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, 3399, 2460, 580, 5142, 236743, 236770, 236810, 594, 532, 1202, 531, 3944, 496, 15891, 13415, 1699, 12480, 236761, 28344, 611, 1601, 786, 5811, 855, 1217, 1551, 2668, 3097, 506, 2460, 236764, 1586, 496, 15028, 573, 496, 12480, 13415, 236764, 532, 2426, 506, 12631, 2157, 573, 506, 13153, 564, 236789, 859, 1202, 531, 1900, 236881, 106, 107, 105, 4368, 107, 2021, 6361, 611, 11974, 236764, 564, 1202, 496, 3103, 919, 1938, 236787, 108, 236770, 236761, 5213, 3500, 6809, 66515, 1599, 6950, 5142, 236743, 236770, 236810, 594, 236764, 840, 564, 1202, 506, 4453, 3433, 528, 2165, 78002, 236772, 8395, 236772, 21738, 236929, 6518, 568, 236744, 236761, 236759, 1126, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 59395, 28344, 611, 9128, 506, 1051, 532, 2847, 506, 2587, 3433, 236881, 108, 236778, 236761, 5213, 58582, 20303, 66515, 1701, 31236, 12631, 5384, 236764, 564, 1202, 236787, 107, 139, 236772, 669, 5213, 6078, 529, 506, 13153, 1018, 568, 495, 15176, 236768, 107, 139, 236772, 669, 5213, 34598, 3421, 1018, 568, 236744, 236761, 236759, 1126, 3207, 236786, 3255, 653, 2891, 236768, 108, 14946, 611, 2847, 1239, 4889, 236764, 564, 236858, 859, 9279, 506, 2668, 3097, 506, 2460, 236764, 8729, 496, 15891, 236772, 3061, 12480, 15028, 236764, 532, 10967, 506, 12631, 2157, 236888, 103453, 106, 107, 105, 2364, 107, 818, 2460, 563, 580, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 834, 506, 3433, 563, 5213, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 84750, 1701, 12631, 236764, 506, 13153, 19281, 8296, 5213, 236828, 15176, 125546, 532, 506, 12892, 3421, 563, 5213, 236770, 236778, 236800, 6400, 6718, 236764, 10871, 174253, 37359, 236764, 26493, 236743, 236800, 236832, 236770, 236800, 236771, 84750, 11017, 573, 9795, 786, 4260, 672, 855, 236888, 103453, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14356, 236779, 48064, 1083, 236743, 236770, 236812, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 83738, 14105, 26098, 42949, 827, 623, 77095, 1083, 11058, 236812, 9097, 529, 12480, 568, 105587, 77346, 532, 89386, 22730, 623, 236770, 8578, 228017, 827, 623, 236770, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 72881, 129882, 827, 623, 236770, 72881, 29508, 13950, 827, 623, 236770, 72881, 9551, 827, 623, 236770, 236786, 236778, 72881, 2764, 22300, 827, 623, 236770, 236786, 236778, 72881, 214274, 22300, 827, 623, 85864, 742, 4446, 573, 66050, 14255, 623, 96654, 1083, 11058, 9585, 8074, 12480, 9097, 528, 228017, 573, 657, 3198, 236743, 236770, 6468, 528, 506, 41839, 10498, 623, 902, 496, 7732, 13392, 236764, 6921, 18763, 236764, 129882, 236764, 29508, 13950, 236764, 9551, 236764, 2764, 22300, 236764, 532, 214274, 22300, 10498, 623, 236796, 1192, 787, 1546, 12480, 6347, 528, 506, 18763, 11711, 236764, 17096, 1581, 23671, 10498, 623, 57064, 25357, 4446, 528, 496, 5268, 94534, 531, 236743, 236800, 236810, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 827, 623, 189848, 12480, 9097, 573, 236743, 236770, 236778, 236772, 236770, 236810, 4310, 810, 2678, 3097, 13935, 8864, 532, 6145, 4022, 20881, 236743, 236770, 236825, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236832, 236812, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 827, 623, 178546, 580, 496, 8733, 25883, 532, 7298, 3425, 607, 822, 8126, 9174, 62192, 623, 91963, 236779, 2289, 1083, 623, 236800, 236771, 4310, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 236810, 4310, 827, 623, 2348, 1013, 1083, 236743, 236812, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 84339, 236779, 13769, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 82506, 1083, 623, 3118, 4502, 27563, 25938, 106, 107, 105, 4368, 107, 3048, 735, 5213, 236770, 236812, 2668, 1018, 3097, 822, 3399, 2460, 580, 5213, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 236888, 204906, 138, 108, 8291, 236789, 236751, 496, 5213, 83738, 14105, 26098, 42949, 1018, 15028, 531, 11006, 573, 506, 10804, 236787, 108, 10354, 236743, 249474, 52258, 20303, 138, 107, 1018, 36286, 7578, 66515, 236743, 236800, 236771, 4310, 1109, 5213, 22959, 7578, 66515, 236743, 236778, 236810, 4310, 1109, 5213, 10773, 507, 66515, 236743, 236812, 138, 108, 1018, 64690, 66515, 138, 107, 236772, 236743, 236812, 9097, 529, 12480, 568, 105587, 77346, 532, 89386, 236768, 138, 107, 236772, 236743, 236770, 8578, 228017, 138, 107, 236772, 236743, 236770, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 236743, 236770, 72881, 129882, 138, 107, 236772, 236743, 236770, 72881, 29508, 13950, 138, 107, 236772, 236743, 236770, 72881, 9551, 138, 107, 236772, 47041, 72881, 2764, 22300, 138, 107, 236772, 47041, 72881, 214274, 22300, 138, 107, 236772, 99699, 4446, 573, 66050, 138, 108, 1018, 81851, 66515, 138, 107, 236770, 236761, 2481, 8074, 12480, 528, 228017, 573, 657, 3198, 236743, 236770, 6468, 568, 500, 18656, 774, 769, 138, 107, 236778, 236761, 29785, 18763, 236764, 129882, 236764, 29508, 13950, 236764, 9551, 236764, 2764, 22300, 236764, 532, 214274, 528, 496, 13392, 236761, 138, 107, 236800, 236761, 191194, 787, 12480, 9097, 528, 506, 18763, 11711, 41923, 236761, 138, 107, 236812, 236761, 27213, 4446, 531, 236743, 236800, 236810, 236771, 237366, 236811, 568, 236770, 236832, 236810, 237366, 236780, 236768, 532, 42282, 573, 236743, 236770, 236778, 236964, 236770, 236810, 4310, 810, 2678, 3097, 13935, 532, 6145, 4022, 20881, 236743, 236770, 236825, 236810, 237366, 236811, 568, 236832, 236812, 237366, 236780, 769, 138, 107, 236810, 236761, 71211, 580, 496, 8733, 25883, 532, 7298, 3425, 607, 822, 8126, 9174, 236888, 138, 108, 7243, 108, 10354, 236743, 246727, 36585, 11117, 573, 80225, 138, 107, 236772, 5213, 17115, 66515, 236743, 236828, 16931, 138, 107, 236772, 5213, 54418, 66515, 236743, 236770, 236778, 236800, 6400, 6718, 236764, 10871, 174253, 37359, 236764, 26493, 236743, 236800, 236832, 236770, 236800, 236771, 138, 107, 236772, 5213, 23077, 66515, 5213, 236795, 236770, 236778, 236761, 236810, 236771, 23058, 1018, 138, 107, 236772, 5213, 122598, 33431, 66515, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 15218, 136277, 27563, 236768, 138, 108, 195096, 5213, 10282, 66515, 5612, 822, 2460, 563, 580, 5213, 27403, 236743, 236770, 236810, 125546, 506, 8341, 795, 15074, 808, 9900, 236829, 506, 2460, 236761, 2282, 5330, 13153, 15074, 580, 990, 236764, 1966, 24121, 5213, 814, 36343, 1018, 653, 25605, 5213, 4212, 83764, 12631, 1018, 568, 584, 2487, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8159, 11442, 12631, 3835, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 573, 496, 3399, 2460, 580, 5142, 236743, 236770, 236810, 594, 532, 1202, 531, 3944, 496, 15891, 13415, 1699, 12480, 236761, 28344, 611, 1601, 786, 5811, 855, 1217, 1551, 2668, 3097, 506, 2460, 236764, 1586, 496, 15028, 573, 496, 12480, 13415, 236764, 532, 2426, 506, 12631, 2157, 573, 506, 13153, 564, 236789, 859, 1202, 531, 1900, 236881, 106, 107, 105, 4368, 107, 2021, 6361, 611, 11974, 236764, 564, 1202, 496, 3103, 919, 1938, 236787, 108, 236770, 236761, 5213, 3500, 6809, 66515, 1599, 6950, 5142, 236743, 236770, 236810, 594, 236764, 840, 564, 1202, 506, 4453, 3433, 528, 2165, 78002, 236772, 8395, 236772, 21738, 236929, 6518, 568, 236744, 236761, 236759, 1126, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 59395, 28344, 611, 9128, 506, 1051, 532, 2847, 506, 2587, 3433, 236881, 108, 236778, 236761, 5213, 58582, 20303, 66515, 1701, 31236, 12631, 5384, 236764, 564, 1202, 236787, 107, 139, 236772, 669, 5213, 6078, 529, 506, 13153, 1018, 568, 495, 15176, 236768, 107, 139, 236772, 669, 5213, 34598, 3421, 1018, 568, 236744, 236761, 236759, 1126, 3207, 236786, 3255, 653, 2891, 236768, 108, 14946, 611, 2847, 1239, 4889, 236764, 564, 236858, 859, 9279, 506, 2668, 3097, 506, 2460, 236764, 8729, 496, 15891, 236772, 3061, 12480, 15028, 236764, 532, 10967, 506, 12631, 2157, 236888, 103453, 106, 107, 105, 2364, 107, 818, 2460, 563, 580, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 834, 506, 3433, 563, 5213, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 84750, 1701, 12631, 236764, 506, 13153, 19281, 8296, 5213, 236828, 15176, 125546, 532, 506, 12892, 3421, 563, 5213, 236770, 236778, 236800, 6400, 6718, 236764, 10871, 174253, 37359, 236764, 26493, 236743, 236800, 236832, 236770, 236800, 236771, 84750, 11017, 573, 9795, 786, 4260, 672, 855, 236888, 103453, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14356, 236779, 48064, 1083, 236743, 236770, 236812, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 83738, 14105, 26098, 42949, 827, 623, 77095, 1083, 11058, 236812, 9097, 529, 12480, 568, 105587, 77346, 532, 89386, 22730, 623, 236770, 8578, 228017, 827, 623, 236770, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 72881, 129882, 827, 623, 236770, 72881, 29508, 13950, 827, 623, 236770, 72881, 9551, 827, 623, 236770, 236786, 236778, 72881, 2764, 22300, 827, 623, 236770, 236786, 236778, 72881, 214274, 22300, 827, 623, 85864, 742, 4446, 573, 66050, 14255, 623, 96654, 1083, 11058, 9585, 8074, 12480, 9097, 528, 228017, 573, 657, 3198, 236743, 236770, 6468, 528, 506, 41839, 10498, 623, 902, 496, 7732, 13392, 236764, 6921, 18763, 236764, 129882, 236764, 29508, 13950, 236764, 9551, 236764, 2764, 22300, 236764, 532, 214274, 22300, 10498, 623, 236796, 1192, 787, 1546, 12480, 6347, 528, 506, 18763, 11711, 236764, 17096, 1581, 23671, 10498, 623, 57064, 25357, 4446, 528, 496, 5268, 94534, 531, 236743, 236800, 236810, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 827, 623, 189848, 12480, 9097, 573, 236743, 236770, 236778, 236772, 236770, 236810, 4310, 810, 2678, 3097, 13935, 8864, 532, 6145, 4022, 20881, 236743, 236770, 236825, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236832, 236812, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 827, 623, 178546, 580, 496, 8733, 25883, 532, 7298, 3425, 607, 822, 8126, 9174, 62192, 623, 91963, 236779, 2289, 1083, 623, 236800, 236771, 4310, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 236810, 4310, 827, 623, 2348, 1013, 1083, 236743, 236812, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 84339, 236779, 13769, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 82506, 1083, 623, 3118, 4502, 27563, 25938, 106, 107, 105, 4368, 107, 3048, 735, 5213, 236770, 236812, 2668, 1018, 3097, 822, 3399, 2460, 580, 5213, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 236888, 204906, 138, 108, 8291, 236789, 236751, 496, 5213, 83738, 14105, 26098, 42949, 1018, 15028, 531, 11006, 573, 506, 10804, 236787, 108, 10354, 236743, 249474, 52258, 20303, 138, 107, 1018, 36286, 7578, 66515, 236743, 236800, 236771, 4310, 1109, 5213, 22959, 7578, 66515, 236743, 236778, 236810, 4310, 1109, 5213, 10773, 507, 66515, 236743, 236812, 138, 108, 1018, 64690, 66515, 138, 107, 236772, 236743, 236812, 9097, 529, 12480, 568, 105587, 77346, 532, 89386, 236768, 138, 107, 236772, 236743, 236770, 8578, 228017, 138, 107, 236772, 236743, 236770, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 236743, 236770, 72881, 129882, 138, 107, 236772, 236743, 236770, 72881, 29508, 13950, 138, 107, 236772, 236743, 236770, 72881, 9551, 138, 107, 236772, 47041, 72881, 2764, 22300, 138, 107, 236772, 47041, 72881, 214274, 22300, 138, 107, 236772, 99699, 4446, 573, 66050, 138, 108, 1018, 81851, 66515, 138, 107, 236770, 236761, 2481, 8074, 12480, 528, 228017, 573, 657, 3198, 236743, 236770, 6468, 568, 500, 18656, 774, 769, 138, 107, 236778, 236761, 29785, 18763, 236764, 129882, 236764, 29508, 13950, 236764, 9551, 236764, 2764, 22300, 236764, 532, 214274, 528, 496, 13392, 236761, 138, 107, 236800, 236761, 191194, 787, 12480, 9097, 528, 506, 18763, 11711, 41923, 236761, 138, 107, 236812, 236761, 27213, 4446, 531, 236743, 236800, 236810, 236771, 237366, 236811, 568, 236770, 236832, 236810, 237366, 236780, 236768, 532, 42282, 573, 236743, 236770, 236778, 236964, 236770, 236810, 4310, 810, 2678, 3097, 13935, 532, 6145, 4022, 20881, 236743, 236770, 236825, 236810, 237366, 236811, 568, 236832, 236812, 237366, 236780, 769, 138, 107, 236810, 236761, 71211, 580, 496, 8733, 25883, 532, 7298, 3425, 607, 822, 8126, 9174, 236888, 138, 108, 7243, 108, 10354, 236743, 246727, 36585, 11117, 573, 80225, 138, 107, 236772, 5213, 17115, 66515, 236743, 236828, 16931, 138, 107, 236772, 5213, 54418, 66515, 236743, 236770, 236778, 236800, 6400, 6718, 236764, 10871, 174253, 37359, 236764, 26493, 236743, 236800, 236832, 236770, 236800, 236771, 138, 107, 236772, 5213, 23077, 66515, 5213, 236795, 236770, 236778, 236761, 236810, 236771, 23058, 1018, 138, 107, 236772, 5213, 122598, 33431, 66515, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 15218, 136277, 27563, 236768, 138, 108, 195096, 5213, 10282, 66515, 5612, 822, 2460, 563, 580, 5213, 27403, 236743, 236770, 236810, 125546, 506, 8341, 795, 15074, 808, 9900, 236829, 506, 2460, 236761, 2282, 5330, 13153, 15074, 580, 990, 236764, 1966, 24121, 5213, 814, 36343, 1018, 653, 25605, 5213, 4212, 83764, 12631, 1018, 568, 584, 2487, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8159, 11442, 12631, 3835, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 2269, 506, 45559, 8036, 98587, 236789, 3736, 672, 3409, 532, 5048, 531, 18840, 910, 1873, 8101, 236761, 28344, 611, 33205, 506, 6524, 90915, 573, 506, 15284, 901, 20811, 528, 236764, 10916, 41671, 910, 2939, 236764, 3345, 236772, 10558, 3423, 236764, 532, 1027, 48524, 21255, 236881, 564, 236789, 236757, 496, 3103, 2353, 59034, 607, 4430, 13721, 236764, 834, 564, 236789, 236753, 14756, 625, 768, 611, 1451, 2541, 625, 1679, 8207, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 229882, 8036, 98587, 827, 623, 80043, 1083, 623, 38322, 9654, 56433, 568, 150408, 22730, 623, 58392, 1083, 623, 14645, 9654, 7123, 827, 623, 4002, 236779, 3473, 1083, 623, 236778, 523, 1977, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236832, 236828, 236772, 236825, 236810, 827, 623, 1555, 2865, 236779, 548, 62546, 1083, 3714, 44363, 236779, 6307, 236779, 15080, 1083, 623, 236800, 7221, 13695, 9981, 827, 623, 6201, 524, 236779, 50263, 1083, 623, 7118, 19458, 158496, 169931, 827, 623, 47734, 236779, 5640, 1083, 236743, 236770, 236778, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 25890, 529, 506, 45559, 8036, 98587, 236789, 8101, 528, 18787, 9654, 56433, 236787, 108, 1018, 8782, 52976, 53121, 107, 236772, 5213, 77763, 53121, 18787, 9654, 56433, 568, 150408, 236768, 107, 236772, 5213, 54763, 53121, 3668, 9654, 7123, 107, 236772, 5213, 9223, 53121, 236743, 236778, 523, 15444, 107, 236772, 5213, 17561, 236772, 43279, 19558, 53121, 236743, 236832, 236828, 236772, 236825, 236810, 108, 1018, 12104, 2865, 103057, 53121, 107, 236772, 5213, 39678, 9981, 30052, 53121, 236743, 236800, 7221, 13695, 9981, 107, 236772, 5213, 8410, 524, 72959, 53121, 6531, 19458, 158496, 169931, 107, 236772, 5213, 61732, 9661, 53121, 236743, 236770, 236778, 568, 35365, 9866, 3097, 6407, 20810, 48524, 7075, 236768, 108, 236829, 9008, 42841, 236787, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236829, 108, 38786, 611, 1133, 786, 531, 2847, 4767, 4403, 1003, 910, 9866, 10368, 653, 2307, 5484, 20894, 531, 910, 3736, 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, 17531, 236764, 564, 236789, 560, 1010, 2269, 506, 45559, 8036, 98587, 236789, 3736, 672, 3409, 532, 5048, 531, 18840, 910, 1873, 8101, 236761, 28344, 611, 33205, 506, 6524, 90915, 573, 506, 15284, 901, 20811, 528, 236764, 10916, 41671, 910, 2939, 236764, 3345, 236772, 10558, 3423, 236764, 532, 1027, 48524, 21255, 236881, 564, 236789, 236757, 496, 3103, 2353, 59034, 607, 4430, 13721, 236764, 834, 564, 236789, 236753, 14756, 625, 768, 611, 1451, 2541, 625, 1679, 8207, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 229882, 8036, 98587, 827, 623, 80043, 1083, 623, 38322, 9654, 56433, 568, 150408, 22730, 623, 58392, 1083, 623, 14645, 9654, 7123, 827, 623, 4002, 236779, 3473, 1083, 623, 236778, 523, 1977, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236832, 236828, 236772, 236825, 236810, 827, 623, 1555, 2865, 236779, 548, 62546, 1083, 3714, 44363, 236779, 6307, 236779, 15080, 1083, 623, 236800, 7221, 13695, 9981, 827, 623, 6201, 524, 236779, 50263, 1083, 623, 7118, 19458, 158496, 169931, 827, 623, 47734, 236779, 5640, 1083, 236743, 236770, 236778, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 25890, 529, 506, 45559, 8036, 98587, 236789, 8101, 528, 18787, 9654, 56433, 236787, 108, 1018, 8782, 52976, 53121, 107, 236772, 5213, 77763, 53121, 18787, 9654, 56433, 568, 150408, 236768, 107, 236772, 5213, 54763, 53121, 3668, 9654, 7123, 107, 236772, 5213, 9223, 53121, 236743, 236778, 523, 15444, 107, 236772, 5213, 17561, 236772, 43279, 19558, 53121, 236743, 236832, 236828, 236772, 236825, 236810, 108, 1018, 12104, 2865, 103057, 53121, 107, 236772, 5213, 39678, 9981, 30052, 53121, 236743, 236800, 7221, 13695, 9981, 107, 236772, 5213, 8410, 524, 72959, 53121, 6531, 19458, 158496, 169931, 107, 236772, 5213, 61732, 9661, 53121, 236743, 236770, 236778, 568, 35365, 9866, 3097, 6407, 20810, 48524, 7075, 236768, 108, 236829, 9008, 42841, 236787, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236829, 108, 38786, 611, 1133, 786, 531, 2847, 4767, 4403, 1003, 910, 9866, 10368, 653, 2307, 5484, 20894, 531, 910, 3736, 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, 1070, 24576, 6436, 573, 1041, 1295, 24037, 5699, 236761, 28344, 611, 5840, 3211, 2721, 580, 22195, 573, 12974, 6436, 532, 11165, 6237, 14003, 1456, 528, 11285, 1295, 27627, 236881, 3551, 1873, 2203, 563, 496, 236743, 236770, 236819, 236825, 236832, 80817, 600, 3548, 1800, 3958, 532, 35615, 36326, 981, 236761, 3792, 786, 1281, 1144, 611, 236789, 236753, 3600, 236761, 106, 107, 105, 4368, 107, 2021, 2847, 28233, 1698, 15136, 573, 822, 236743, 236770, 236819, 236825, 236832, 80817, 24037, 2203, 236764, 564, 236789, 859, 1202, 822, 5213, 2364, 5853, 1018, 531, 2802, 822, 22195, 532, 4083, 236761, 28344, 611, 4024, 822, 2430, 5853, 834, 564, 740, 3600, 506, 1346, 7798, 12974, 6436, 532, 11165, 6237, 573, 11285, 1295, 27627, 236881, 236743, 108, 2542, 2591, 236787, 138, 107, 236772, 5213, 120386, 6436, 66515, 102496, 232902, 236764, 3958, 39844, 34332, 236764, 653, 166260, 38738, 6436, 236761, 138, 107, 236772, 5213, 83953, 6237, 66515, 80288, 181686, 236764, 49220, 3797, 236764, 653, 9832, 42440, 18944, 607, 9760, 11182, 236761, 138, 108, 6481, 786, 1281, 822, 2430, 5853, 236764, 532, 564, 236858, 859, 49523, 506, 15136, 236888, 106, 107, 105, 2364, 107, 23600, 698, 4506, 15301, 236770, 236819, 236825, 236832, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 5930, 236779, 547, 1083, 623, 13831, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 68428, 48550, 649, 5958, 5833, 827, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236828, 1263, 3714, 5930, 236779, 547, 1083, 623, 13831, 236772, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 32106, 171036, 649, 5958, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 1263, 3714, 5930, 236779, 547, 1083, 623, 13831, 236772, 236770, 236770, 236778, 827, 623, 1201, 1083, 623, 14525, 68914, 8715, 209757, 827, 623, 9707, 1083, 236743, 236825, 236832, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 104960, 623, 14210, 1083, 623, 22515, 580, 822, 24037, 2203, 4083, 532, 12974, 5904, 22195, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 85038, 847, 1083, 78493, 5930, 236779, 547, 1083, 623, 5856, 236772, 236770, 236771, 236778, 236770, 827, 623, 1201, 1083, 623, 83738, 3331, 80536, 188527, 827, 623, 10618, 1083, 623, 91706, 6237, 827, 623, 102229, 1083, 11058, 52111, 80817, 236743, 236770, 236819, 236825, 236832, 236772, 236770, 236819, 236832, 236771, 14255, 623, 9707, 1083, 236743, 236812, 236778, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236828, 1263, 3714, 5930, 236779, 547, 1083, 623, 5856, 236772, 236771, 236812, 236810, 236810, 827, 623, 1201, 1083, 623, 14151, 8670, 236772, 44184, 203199, 21446, 827, 623, 10618, 1083, 623, 91706, 6237, 827, 623, 102229, 1083, 11058, 52111, 80817, 236743, 236770, 236819, 236825, 236810, 236772, 236770, 236819, 236832, 236800, 14255, 623, 9707, 1083, 236743, 236825, 236828, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 104960, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 36443, 15136, 573, 822, 236743, 236770, 236819, 236825, 236832, 80817, 24037, 2203, 236787, 108, 1018, 248850, 44813, 25373, 1018, 138, 107, 236770, 236761, 5213, 68428, 48550, 649, 5958, 5833, 1018, 568, 13831, 236772, 236771, 236771, 236770, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236819, 236819, 1109, 47240, 236787, 136723, 236812, 236761, 236828, 138, 107, 139, 236772, 45891, 573, 3958, 14510, 236786, 2763, 31729, 607, 18510, 236761, 138, 107, 236778, 236761, 5213, 32106, 171036, 649, 5958, 1018, 568, 13831, 236772, 236771, 236812, 236810, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236819, 236819, 1109, 47240, 236787, 136723, 236812, 236761, 236832, 138, 107, 139, 236772, 142981, 11459, 26020, 7846, 573, 6749, 3958, 6237, 236761, 138, 107, 236800, 236761, 5213, 14525, 68914, 8715, 209757, 1018, 568, 13831, 236772, 236770, 236770, 236778, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236832, 236761, 236810, 236771, 1109, 47240, 236787, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 58178, 573, 17227, 981, 1913, 3958, 39844, 236751, 236761, 138, 108, 1018, 246812, 238178, 36552, 54198, 1018, 138, 107, 236770, 236761, 5213, 83738, 3331, 80536, 188527, 1018, 568, 5856, 236772, 236770, 236771, 236778, 236770, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236761, 236819, 236819, 1109, 47240, 236787, 136723, 236812, 236761, 236828, 138, 107, 139, 236772, 98263, 236787, 236743, 236770, 236819, 236825, 236832, 236964, 236770, 236819, 236832, 236771, 16103, 80817, 138, 107, 139, 236772, 10973, 2985, 10385, 12214, 1458, 3736, 236761, 138, 107, 236778, 236761, 5213, 14151, 8670, 236772, 44184, 203199, 21446, 1018, 568, 5856, 236772, 236771, 236812, 236810, 236810, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236828, 236761, 236810, 236771, 1109, 47240, 236787, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 98263, 236787, 236743, 236770, 236819, 236825, 236810, 236964, 236770, 236819, 236832, 236800, 16103, 80817, 138, 107, 139, 236772, 136007, 14268, 573, 3303, 49220, 3797, 236761, 138, 108, 9208, 15136, 659, 2721, 580, 822, 2203, 4083, 532, 3213, 580, 11285, 1295, 37031, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 9851, 653, 4767, 4889, 236888, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 20183, 529, 4699, 600, 6429, 1239, 10325, 4688, 236764, 1133, 646, 89176, 14297, 44919, 653, 27847, 29327, 236881, 564, 236789, 236753, 1133, 531, 1281, 910, 3662, 4889, 532, 768, 901, 65607, 528, 11285, 1295, 6237, 236761, 6890, 506, 4699, 236779, 13330, 5904, 531, 12270, 672, 1938, 834, 564, 740, 5370, 855, 531, 1091, 5467, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 151857, 44919, 6503, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 236749, 8621, 23557, 236761, 854, 827, 623, 5275, 1083, 623, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236778, 236825, 236772, 236819, 236810, 236819, 236810, 827, 623, 1257, 236779, 1340, 236779, 23019, 1083, 623, 48930, 18514, 4688, 5296, 236764, 2440, 11285, 532, 37358, 1295, 6237, 827, 623, 7720, 1083, 623, 236778, 236819, 236819, 236819, 28260, 236743, 236832, 236810, 593, 15485, 236762, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236800, 236819, 827, 623, 18146, 17238, 1083, 11058, 6259, 16350, 6282, 4688, 827, 623, 57782, 1295, 24037, 4688, 827, 623, 71476, 236772, 57684, 9685, 6237, 14255, 623, 7777, 1083, 623, 18674, 2544, 529, 646, 89176, 14297, 44919, 236764, 12284, 31170, 11790, 14477, 532, 48030, 2338, 236743, 236770, 236819, 236778, 236828, 236761, 210979, 12688, 18241, 529, 9760, 1295, 4688, 1343, 1061, 646, 89176, 27847, 6824, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 106790, 1083, 78493, 22037, 1083, 623, 193067, 827, 623, 1201, 1083, 623, 83738, 14297, 44919, 5295, 10498, 623, 31935, 1083, 623, 2574, 1411, 51076, 91733, 14865, 236761, 854, 827, 623, 5275, 1083, 623, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 7777, 1083, 623, 23244, 5411, 528, 11285, 532, 9760, 1295, 6237, 236764, 9722, 496, 5777, 2644, 529, 4688, 573, 24037, 5699, 2338, 236743, 236770, 236819, 236832, 236810, 236761, 210979, 496, 13611, 18241, 529, 3303, 5842, 14202, 568, 160501, 236768, 4688, 573, 877, 236772, 236770, 236819, 236828, 236771, 11182, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 20183, 529, 506, 4699, 46372, 11285, 1295, 6237, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 158229, 44919, 6503, 568, 236797, 89176, 14297, 44919, 62902, 138, 107, 236772, 5213, 42475, 66515, 870, 2769, 236761, 236749, 8621, 23557, 236761, 854, 5457, 2574, 1411, 2769, 236761, 236749, 8621, 23557, 236761, 854, 236768, 138, 107, 236772, 5213, 9704, 66515, 236743, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236778, 236825, 236772, 236819, 236810, 236819, 236810, 138, 107, 236772, 5213, 9604, 66515, 236743, 236778, 236819, 236819, 236819, 28260, 236743, 236832, 236810, 593, 15485, 236762, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236800, 236819, 138, 107, 236772, 5213, 23244, 17238, 66515, 138, 107, 138, 236772, 4210, 16350, 6282, 4688, 138, 107, 138, 236772, 36811, 1295, 24037, 4688, 568, 15218, 646, 89176, 27847, 6824, 236768, 138, 107, 138, 236772, 39591, 236772, 57684, 9685, 6237, 138, 107, 236772, 5213, 11040, 66515, 25401, 2544, 529, 646, 89176, 14297, 44919, 236764, 9722, 9760, 1295, 4688, 2338, 236743, 236770, 236819, 236778, 236828, 236761, 9963, 646, 89176, 27847, 6824, 21132, 580, 2651, 236772, 1071, 236772, 4114, 6237, 573, 9862, 11182, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 27847, 14297, 44919, 5295, 236761, 568, 193067, 62902, 138, 107, 236772, 5213, 42475, 66515, 870, 51076, 91733, 14865, 236761, 854, 5457, 2574, 1411, 51076, 91733, 14865, 236761, 854, 236768, 138, 107, 236772, 5213, 9704, 66515, 236743, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 236772, 5213, 23244, 17238, 66515, 138, 107, 138, 236772, 36811, 236786, 51076, 1295, 6237, 138, 107, 138, 236772, 18909, 29187, 91054, 568, 160501, 236768, 4688, 573, 877, 236772, 236770, 236819, 236828, 236771, 11182, 138, 107, 236772, 5213, 11040, 66515, 10624, 5411, 528, 9760, 1295, 24037, 4688, 2338, 236743, 236770, 236819, 236832, 236810, 236761, 210979, 496, 12529, 18241, 529, 43754, 532, 32029, 4688, 573, 5699, 1133, 822, 236743, 236770, 236819, 236825, 236832, 80817, 236761, 138, 108, 7243, 108, 22186, 4699, 659, 7516, 5405, 573, 822, 24037, 3548, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 57416, 1091, 653, 73476, 3530, 4688, 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, 1202, 1601, 8159, 1070, 24576, 6436, 573, 1041, 1295, 24037, 5699, 236761, 28344, 611, 5840, 3211, 2721, 580, 22195, 573, 12974, 6436, 532, 11165, 6237, 14003, 1456, 528, 11285, 1295, 27627, 236881, 3551, 1873, 2203, 563, 496, 236743, 236770, 236819, 236825, 236832, 80817, 600, 3548, 1800, 3958, 532, 35615, 36326, 981, 236761, 3792, 786, 1281, 1144, 611, 236789, 236753, 3600, 236761, 106, 107, 105, 4368, 107, 2021, 2847, 28233, 1698, 15136, 573, 822, 236743, 236770, 236819, 236825, 236832, 80817, 24037, 2203, 236764, 564, 236789, 859, 1202, 822, 5213, 2364, 5853, 1018, 531, 2802, 822, 22195, 532, 4083, 236761, 28344, 611, 4024, 822, 2430, 5853, 834, 564, 740, 3600, 506, 1346, 7798, 12974, 6436, 532, 11165, 6237, 573, 11285, 1295, 27627, 236881, 236743, 108, 2542, 2591, 236787, 138, 107, 236772, 5213, 120386, 6436, 66515, 102496, 232902, 236764, 3958, 39844, 34332, 236764, 653, 166260, 38738, 6436, 236761, 138, 107, 236772, 5213, 83953, 6237, 66515, 80288, 181686, 236764, 49220, 3797, 236764, 653, 9832, 42440, 18944, 607, 9760, 11182, 236761, 138, 108, 6481, 786, 1281, 822, 2430, 5853, 236764, 532, 564, 236858, 859, 49523, 506, 15136, 236888, 106, 107, 105, 2364, 107, 23600, 698, 4506, 15301, 236770, 236819, 236825, 236832, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 5930, 236779, 547, 1083, 623, 13831, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 68428, 48550, 649, 5958, 5833, 827, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236828, 1263, 3714, 5930, 236779, 547, 1083, 623, 13831, 236772, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 32106, 171036, 649, 5958, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 1263, 3714, 5930, 236779, 547, 1083, 623, 13831, 236772, 236770, 236770, 236778, 827, 623, 1201, 1083, 623, 14525, 68914, 8715, 209757, 827, 623, 9707, 1083, 236743, 236825, 236832, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 104960, 623, 14210, 1083, 623, 22515, 580, 822, 24037, 2203, 4083, 532, 12974, 5904, 22195, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 85038, 847, 1083, 78493, 5930, 236779, 547, 1083, 623, 5856, 236772, 236770, 236771, 236778, 236770, 827, 623, 1201, 1083, 623, 83738, 3331, 80536, 188527, 827, 623, 10618, 1083, 623, 91706, 6237, 827, 623, 102229, 1083, 11058, 52111, 80817, 236743, 236770, 236819, 236825, 236832, 236772, 236770, 236819, 236832, 236771, 14255, 623, 9707, 1083, 236743, 236812, 236778, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236828, 1263, 3714, 5930, 236779, 547, 1083, 623, 5856, 236772, 236771, 236812, 236810, 236810, 827, 623, 1201, 1083, 623, 14151, 8670, 236772, 44184, 203199, 21446, 827, 623, 10618, 1083, 623, 91706, 6237, 827, 623, 102229, 1083, 11058, 52111, 80817, 236743, 236770, 236819, 236825, 236810, 236772, 236770, 236819, 236832, 236800, 14255, 623, 9707, 1083, 236743, 236825, 236828, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 104960, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 36443, 15136, 573, 822, 236743, 236770, 236819, 236825, 236832, 80817, 24037, 2203, 236787, 108, 1018, 248850, 44813, 25373, 1018, 138, 107, 236770, 236761, 5213, 68428, 48550, 649, 5958, 5833, 1018, 568, 13831, 236772, 236771, 236771, 236770, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236819, 236819, 1109, 47240, 236787, 136723, 236812, 236761, 236828, 138, 107, 139, 236772, 45891, 573, 3958, 14510, 236786, 2763, 31729, 607, 18510, 236761, 138, 107, 236778, 236761, 5213, 32106, 171036, 649, 5958, 1018, 568, 13831, 236772, 236771, 236812, 236810, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236819, 236819, 1109, 47240, 236787, 136723, 236812, 236761, 236832, 138, 107, 139, 236772, 142981, 11459, 26020, 7846, 573, 6749, 3958, 6237, 236761, 138, 107, 236800, 236761, 5213, 14525, 68914, 8715, 209757, 1018, 568, 13831, 236772, 236770, 236770, 236778, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236832, 236761, 236810, 236771, 1109, 47240, 236787, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 58178, 573, 17227, 981, 1913, 3958, 39844, 236751, 236761, 138, 108, 1018, 246812, 238178, 36552, 54198, 1018, 138, 107, 236770, 236761, 5213, 83738, 3331, 80536, 188527, 1018, 568, 5856, 236772, 236770, 236771, 236778, 236770, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236761, 236819, 236819, 1109, 47240, 236787, 136723, 236812, 236761, 236828, 138, 107, 139, 236772, 98263, 236787, 236743, 236770, 236819, 236825, 236832, 236964, 236770, 236819, 236832, 236771, 16103, 80817, 138, 107, 139, 236772, 10973, 2985, 10385, 12214, 1458, 3736, 236761, 138, 107, 236778, 236761, 5213, 14151, 8670, 236772, 44184, 203199, 21446, 1018, 568, 5856, 236772, 236771, 236812, 236810, 236810, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236828, 236761, 236810, 236771, 1109, 47240, 236787, 136723, 236812, 236761, 236825, 138, 107, 139, 236772, 98263, 236787, 236743, 236770, 236819, 236825, 236810, 236964, 236770, 236819, 236832, 236800, 16103, 80817, 138, 107, 139, 236772, 136007, 14268, 573, 3303, 49220, 3797, 236761, 138, 108, 9208, 15136, 659, 2721, 580, 822, 2203, 4083, 532, 3213, 580, 11285, 1295, 37031, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 9851, 653, 4767, 4889, 236888, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 20183, 529, 4699, 600, 6429, 1239, 10325, 4688, 236764, 1133, 646, 89176, 14297, 44919, 653, 27847, 29327, 236881, 564, 236789, 236753, 1133, 531, 1281, 910, 3662, 4889, 532, 768, 901, 65607, 528, 11285, 1295, 6237, 236761, 6890, 506, 4699, 236779, 13330, 5904, 531, 12270, 672, 1938, 834, 564, 740, 5370, 855, 531, 1091, 5467, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 151857, 44919, 6503, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 236749, 8621, 23557, 236761, 854, 827, 623, 5275, 1083, 623, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236778, 236825, 236772, 236819, 236810, 236819, 236810, 827, 623, 1257, 236779, 1340, 236779, 23019, 1083, 623, 48930, 18514, 4688, 5296, 236764, 2440, 11285, 532, 37358, 1295, 6237, 827, 623, 7720, 1083, 623, 236778, 236819, 236819, 236819, 28260, 236743, 236832, 236810, 593, 15485, 236762, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236800, 236819, 827, 623, 18146, 17238, 1083, 11058, 6259, 16350, 6282, 4688, 827, 623, 57782, 1295, 24037, 4688, 827, 623, 71476, 236772, 57684, 9685, 6237, 14255, 623, 7777, 1083, 623, 18674, 2544, 529, 646, 89176, 14297, 44919, 236764, 12284, 31170, 11790, 14477, 532, 48030, 2338, 236743, 236770, 236819, 236778, 236828, 236761, 210979, 12688, 18241, 529, 9760, 1295, 4688, 1343, 1061, 646, 89176, 27847, 6824, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 106790, 1083, 78493, 22037, 1083, 623, 193067, 827, 623, 1201, 1083, 623, 83738, 14297, 44919, 5295, 10498, 623, 31935, 1083, 623, 2574, 1411, 51076, 91733, 14865, 236761, 854, 827, 623, 5275, 1083, 623, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 7777, 1083, 623, 23244, 5411, 528, 11285, 532, 9760, 1295, 6237, 236764, 9722, 496, 5777, 2644, 529, 4688, 573, 24037, 5699, 2338, 236743, 236770, 236819, 236832, 236810, 236761, 210979, 496, 13611, 18241, 529, 3303, 5842, 14202, 568, 160501, 236768, 4688, 573, 877, 236772, 236770, 236819, 236828, 236771, 11182, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 20183, 529, 506, 4699, 46372, 11285, 1295, 6237, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 158229, 44919, 6503, 568, 236797, 89176, 14297, 44919, 62902, 138, 107, 236772, 5213, 42475, 66515, 870, 2769, 236761, 236749, 8621, 23557, 236761, 854, 5457, 2574, 1411, 2769, 236761, 236749, 8621, 23557, 236761, 854, 236768, 138, 107, 236772, 5213, 9704, 66515, 236743, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236778, 236825, 236772, 236819, 236810, 236819, 236810, 138, 107, 236772, 5213, 9604, 66515, 236743, 236778, 236819, 236819, 236819, 28260, 236743, 236832, 236810, 593, 15485, 236762, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236800, 236819, 138, 107, 236772, 5213, 23244, 17238, 66515, 138, 107, 138, 236772, 4210, 16350, 6282, 4688, 138, 107, 138, 236772, 36811, 1295, 24037, 4688, 568, 15218, 646, 89176, 27847, 6824, 236768, 138, 107, 138, 236772, 39591, 236772, 57684, 9685, 6237, 138, 107, 236772, 5213, 11040, 66515, 25401, 2544, 529, 646, 89176, 14297, 44919, 236764, 9722, 9760, 1295, 4688, 2338, 236743, 236770, 236819, 236778, 236828, 236761, 9963, 646, 89176, 27847, 6824, 21132, 580, 2651, 236772, 1071, 236772, 4114, 6237, 573, 9862, 11182, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 27847, 14297, 44919, 5295, 236761, 568, 193067, 62902, 138, 107, 236772, 5213, 42475, 66515, 870, 51076, 91733, 14865, 236761, 854, 5457, 2574, 1411, 51076, 91733, 14865, 236761, 854, 236768, 138, 107, 236772, 5213, 9704, 66515, 236743, 236770, 236772, 236828, 236771, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 236772, 5213, 23244, 17238, 66515, 138, 107, 138, 236772, 36811, 236786, 51076, 1295, 6237, 138, 107, 138, 236772, 18909, 29187, 91054, 568, 160501, 236768, 4688, 573, 877, 236772, 236770, 236819, 236828, 236771, 11182, 138, 107, 236772, 5213, 11040, 66515, 10624, 5411, 528, 9760, 1295, 24037, 4688, 2338, 236743, 236770, 236819, 236832, 236810, 236761, 210979, 496, 12529, 18241, 529, 43754, 532, 32029, 4688, 573, 5699, 1133, 822, 236743, 236770, 236819, 236825, 236832, 80817, 236761, 138, 108, 7243, 108, 22186, 4699, 659, 7516, 5405, 573, 822, 24037, 3548, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 57416, 1091, 653, 73476, 3530, 4688, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236774, 188875, 236787, 564, 236789, 236757, 6995, 496, 7946, 531, 506, 136612, 11796, 15467, 528, 1799, 30040, 672, 5505, 532, 1202, 1601, 16329, 506, 7606, 236761, 3199, 611, 974, 786, 506, 1873, 4022, 236764, 31992, 236764, 532, 31632, 14415, 573, 1799, 30040, 236764, 11404, 236764, 8288, 573, 506, 2148, 236743, 236832, 2668, 236881, 564, 1461, 531, 1386, 2889, 564, 3294, 506, 1447, 12799, 532, 2731, 11690, 5085, 2101, 506, 14680, 236761, 6542, 236764, 1677, 506, 7606, 1262, 1407, 1027, 11858, 52916, 573, 5505, 834, 564, 740, 10769, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236800, 236770, 236761, 236810, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236812, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 35898, 23179, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236770, 827, 623, 11480, 1083, 236743, 236800, 236800, 236764, 623, 976, 1083, 236743, 236778, 236810, 236764, 623, 77269, 1083, 236743, 236832, 236778, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236800, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236778, 827, 623, 11480, 1083, 236743, 236800, 236778, 236764, 623, 976, 1083, 236743, 236778, 236812, 236764, 623, 77269, 1083, 236743, 236832, 236810, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 236764, 623, 19216, 1083, 623, 125055, 204409, 2653, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236800, 827, 623, 11480, 1083, 236743, 236800, 236812, 236764, 623, 976, 1083, 236743, 236778, 236825, 236764, 623, 77269, 1083, 236743, 236825, 236828, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236778, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 19216, 1083, 623, 22631, 55748, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236812, 827, 623, 11480, 1083, 236743, 236800, 236810, 236764, 623, 976, 1083, 236743, 236778, 236832, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236764, 623, 19216, 1083, 623, 23406, 532, 6299, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 11480, 1083, 236743, 236800, 236800, 236764, 623, 976, 1083, 236743, 236778, 236810, 236764, 623, 77269, 1083, 236743, 236832, 236771, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236812, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236764, 623, 19216, 1083, 623, 90264, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236825, 827, 623, 11480, 1083, 236743, 236800, 236778, 236764, 623, 976, 1083, 236743, 236778, 236812, 236764, 623, 77269, 1083, 236743, 236832, 236800, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236810, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236812, 236764, 623, 19216, 1083, 623, 3900, 42790, 139938, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236832, 827, 623, 11480, 1083, 236743, 236800, 236770, 236764, 623, 976, 1083, 236743, 236778, 236800, 236764, 623, 77269, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 45060, 4547, 25938, 1604, 623, 25441, 1083, 623, 38294, 827, 623, 14210, 1083, 623, 100368, 5505, 52916, 568, 236778, 236771, 236770, 236810, 236772, 236778, 236771, 236778, 236812, 1473, 84109, 1494, 236743, 236800, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236764, 34561, 2708, 236743, 236778, 236812, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236764, 236743, 236810, 236810, 236908, 31632, 2668, 236761, 14040, 14415, 3831, 8427, 90756, 2668, 236743, 236800, 236772, 236812, 607, 4869, 6927, 18190, 3209, 528, 506, 2069, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 32672, 573, 1799, 30040, 1913, 822, 136612, 11796, 15467, 7946, 236787, 108, 1018, 8782, 32288, 568, 30211, 236743, 236770, 1473, 1018, 107, 236772, 35267, 236787, 236743, 236800, 236770, 236761, 236810, 237366, 236780, 107, 236772, 208719, 236787, 236743, 236832, 236828, 236908, 107, 236772, 18324, 236787, 236743, 236770, 236778, 236761, 236810, 7251, 236786, 236754, 107, 236772, 212775, 6584, 236787, 236743, 236812, 236771, 236908, 107, 236772, 17488, 236787, 216726, 35898, 108, 1018, 236832, 236772, 13265, 74544, 53121, 107, 236772, 5213, 30211, 236743, 236770, 236772, 236800, 53121, 52489, 531, 139938, 2653, 568, 11480, 236751, 236743, 236800, 236778, 236772, 236800, 236812, 237366, 236780, 236764, 236743, 236800, 236771, 236772, 236825, 236771, 236908, 6927, 6584, 236768, 107, 236772, 5213, 30211, 236743, 236812, 53121, 640, 58534, 1719, 753, 236743, 236800, 236810, 237366, 236780, 607, 3582, 55748, 568, 236770, 236771, 236908, 6927, 236768, 107, 236772, 5213, 30211, 236743, 236810, 236772, 236832, 53121, 65025, 6927, 568, 236812, 236810, 236772, 236825, 236810, 236908, 6584, 236768, 532, 8427, 30927, 14567, 568, 236800, 236770, 236772, 236800, 236800, 237366, 236780, 236768, 108, 1018, 100368, 5505, 562, 42511, 568, 236778, 236771, 236770, 236810, 236772, 236778, 236771, 236778, 236812, 1473, 1018, 107, 236772, 84109, 1494, 236787, 236743, 236800, 236778, 237366, 236780, 107, 236772, 84109, 2708, 236787, 236743, 236778, 236812, 237366, 236780, 107, 236772, 236743, 236810, 236810, 236908, 529, 2668, 1053, 31632, 108, 1018, 201430, 53121, 107, 236770, 236761, 13079, 27472, 78351, 15337, 236764, 496, 6927, 16621, 236764, 532, 3823, 236772, 51686, 12627, 107, 236778, 236761, 27468, 11690, 5085, 6517, 528, 506, 2069, 568, 30211, 236743, 236812, 563, 506, 3101, 598, 1719, 236768, 107, 236800, 236761, 48434, 3715, 31992, 568, 236832, 236771, 236772, 236832, 236828, 11376, 5459, 506, 2069, 107, 236812, 236761, 14066, 35918, 62391, 573, 2668, 236743, 236810, 236772, 236832, 1056, 6927, 563, 4547, 108, 818, 14415, 3831, 672, 2069, 795, 577, 8427, 90756, 1082, 4398, 607, 919, 25020, 37494, 3209, 528, 506, 2069, 5483, 531, 10944, 5505, 9935, 236761, 106, 107, 105, 2364, 107, 236774, 188875, 236787, 5612, 5505, 236743, 236812, 594, 563, 506, 65438, 1719, 607, 3582, 55748, 236764, 564, 1461, 531, 2426, 506, 19296, 3546, 532, 1027, 2404, 14400, 2794, 573, 600, 1719, 531, 2731, 3768, 6733, 236761, 3199, 611, 33205, 600, 1262, 1699, 506, 2487, 6436, 236881, 1637, 506, 19296, 3546, 563, 1494, 236764, 564, 236789, 859, 1202, 531, 3294, 4481, 92332, 532, 496, 5423, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20784, 1083, 78493, 1201, 1083, 623, 27898, 13291, 9299, 827, 623, 7777, 1083, 623, 129318, 19296, 10483, 3546, 1262, 573, 9155, 11024, 532, 14069, 827, 623, 200232, 1083, 3714, 828, 236779, 7926, 236779, 2662, 1083, 9560, 19323, 236786, 7926, 236772, 2662, 23179, 623, 19031, 1083, 3714, 7125, 1083, 623, 2383, 568, 37673, 236764, 41713, 653, 3207, 1463, 22730, 623, 1896, 1083, 623, 2383, 568, 78002, 236772, 8395, 236772, 21738, 6518, 16291, 5237, 3714, 1201, 1083, 623, 19924, 19823, 2794, 9299, 827, 623, 7777, 1083, 623, 12846, 1801, 2404, 15136, 2721, 580, 7606, 3439, 827, 623, 200232, 1083, 3714, 828, 236779, 16602, 236779, 553, 176680, 1083, 9560, 19323, 236786, 16602, 236772, 553, 3203, 2794, 23179, 623, 19031, 1083, 3714, 7125, 1083, 623, 2383, 568, 37673, 236764, 41713, 653, 3207, 1463, 22730, 623, 1896, 1083, 623, 2383, 568, 78002, 236772, 8395, 236772, 21738, 6518, 16291, 5237, 3714, 1201, 1083, 623, 8782, 28789, 9299, 827, 623, 7777, 1083, 623, 129318, 1873, 7606, 3439, 573, 1027, 4563, 827, 623, 200232, 1083, 3714, 828, 236779, 4002, 236779, 19323, 1083, 9560, 19323, 236786, 4002, 23179, 623, 19031, 1083, 3714, 7125, 1083, 623, 2383, 568, 37673, 236764, 41713, 653, 3207, 1463, 16291, 1807, 21111, 106, 107, 105, 4368, 107, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 27898, 13291, 9299, 827, 623, 33178, 1083, 3714, 7125, 1083, 623, 4199, 30040, 236764, 11404, 236764, 8288, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236812, 127096, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 19924, 19823, 2794, 9299, 827, 623, 33178, 1083, 3714, 7125, 1083, 623, 4199, 30040, 236764, 11404, 236764, 8288, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236812, 127096, 107, 954, 13205, 236779, 6639, 236813, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 2404, 532, 19296, 5646, 1938, 573, 5505, 236743, 236812, 594, 528, 1799, 30040, 236787, 5213, 27898, 13291, 53121, 753, 5213, 9501, 53121, 62477, 568, 236770, 236770, 236761, 236778, 236768, 753, 5213, 85901, 35174, 53121, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236800, 236787, 236771, 236771, 8711, 753, 5213, 53377, 53121, 236743, 236778, 236828, 236908, 3715, 1082, 5505, 236789, 236751, 4398, 19296, 3546, 568, 236828, 236761, 236832, 236768, 5213, 19924, 19823, 2794, 53121, 753, 27213, 31379, 568, 236819, 236810, 236908, 31992, 4275, 236768, 753, 5661, 19779, 35868, 236787, 155100, 4535, 23464, 531, 623, 2805, 37841, 573, 13719, 4402, 236775, 753, 7718, 18056, 4652, 236787, 16707, 1494, 568, 44049, 7112, 2653, 528, 236743, 236770, 236810, 4310, 529, 10885, 236768, 5213, 201430, 53121, 236743, 236770, 236761, 13079, 91346, 236743, 236810, 236771, 236862, 92332, 532, 5510, 1418, 236743, 236778, 3885, 236743, 236778, 236761, 42641, 496, 5777, 236772, 1457, 548, 1992, 5423, 532, 19296, 236772, 91844, 44230, 236743, 236800, 236761, 90917, 496, 145921, 36187, 573, 23791, 236743, 236812, 236761, 46203, 1982, 3768, 10885, 1913, 11519, 19296, 3885, 236743, 236810, 236761, 29365, 71322, 607, 42257, 19060, 568, 77269, 795, 6439, 24490, 9286, 236768, 669, 13610, 19296, 4535, 9292, 607, 1494, 31992, 2619, 496, 4011, 12978, 573, 5387, 236772, 10619, 53828, 753, 56856, 23791, 532, 71552, 1913, 107118, 3885, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 9813, 5646, 25890, 573, 5505, 236743, 236812, 594, 528, 1799, 30040, 236787, 108, 1018, 27898, 13291, 53121, 138, 107, 236772, 5213, 136074, 568, 236770, 236770, 236761, 236778, 62902, 236787, 236743, 236778, 236828, 236908, 3715, 1082, 5505, 236789, 236751, 4398, 568, 236828, 236761, 236832, 236768, 138, 107, 236772, 5213, 88939, 28405, 66515, 236743, 236770, 236771, 8151, 753, 236743, 236800, 8711, 568, 54670, 1982, 3768, 10885, 236768, 138, 107, 236772, 5213, 76053, 32180, 66515, 53599, 2653, 528, 236743, 236770, 236810, 4310, 2180, 6733, 138, 108, 1018, 19924, 19823, 2794, 53121, 138, 107, 236772, 5213, 57064, 35868, 66515, 236743, 236819, 236810, 236908, 31992, 795, 33225, 16204, 1343, 24490, 138, 107, 236772, 5213, 17995, 19779, 66515, 155100, 657, 623, 2805, 37841, 573, 13719, 4402, 236775, 4535, 138, 107, 236772, 5213, 51274, 35868, 66515, 4819, 4652, 529, 5387, 78370, 236786, 16283, 28896, 138, 108, 1018, 103250, 85134, 4361, 53121, 138, 107, 240732, 91346, 236743, 236810, 236771, 236862, 1813, 236772, 36954, 92332, 568, 500, 16298, 1418, 236743, 236778, 3885, 236768, 138, 107, 240732, 24252, 236811, 236743, 236810, 236771, 236862, 3768, 6733, 15337, 568, 5843, 44661, 10325, 573, 11519, 3885, 236768, 138, 107, 240732, 45735, 236772, 1457, 548, 1992, 5423, 900, 19296, 236772, 91844, 44230, 138, 107, 240732, 12500, 96781, 36187, 568, 1708, 23791, 1913, 156304, 236786, 4545, 2391, 236768, 138, 107, 240732, 110222, 654, 31351, 568, 1071, 17262, 31992, 236772, 21681, 82123, 236768, 138, 107, 240732, 646, 236819, 236810, 23966, 568, 1708, 2634, 3325, 6733, 1913, 11690, 4749, 236768, 138, 108, 1018, 61569, 42065, 53121, 138, 107, 236770, 236761, 9620, 11690, 14680, 5085, 1680, 236743, 236770, 236771, 8151, 653, 1308, 236743, 236800, 8711, 138, 107, 236778, 236761, 6890, 16204, 51487, 532, 8442, 522, 7807, 568, 122111, 496, 24282, 15425, 8340, 236768, 138, 107, 236800, 236761, 26295, 2634, 3325, 850, 12496, 51599, 138, 107, 236812, 236761, 7803, 606, 62913, 1884, 20627, 1418, 236743, 236800, 236771, 4310, 1913, 49157, 112226, 138, 108, 2094, 13610, 19296, 1984, 9292, 607, 3423, 31992, 14004, 496, 6749, 4652, 3453, 753, 56856, 19447, 44081, 1913, 107118, 532, 1161, 53091, 6733, 11298, 236761, 669, 55767, 9690, 2820, 29842, 6733, 563, 618, 2132, 618, 3768, 6733, 573, 13719, 7010, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236774, 188875, 236787, 564, 236789, 236757, 6995, 496, 7946, 531, 506, 136612, 11796, 15467, 528, 1799, 30040, 672, 5505, 532, 1202, 1601, 16329, 506, 7606, 236761, 3199, 611, 974, 786, 506, 1873, 4022, 236764, 31992, 236764, 532, 31632, 14415, 573, 1799, 30040, 236764, 11404, 236764, 8288, 573, 506, 2148, 236743, 236832, 2668, 236881, 564, 1461, 531, 1386, 2889, 564, 3294, 506, 1447, 12799, 532, 2731, 11690, 5085, 2101, 506, 14680, 236761, 6542, 236764, 1677, 506, 7606, 1262, 1407, 1027, 11858, 52916, 573, 5505, 834, 564, 740, 10769, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236800, 236770, 236761, 236810, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236812, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 35898, 23179, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236770, 827, 623, 11480, 1083, 236743, 236800, 236800, 236764, 623, 976, 1083, 236743, 236778, 236810, 236764, 623, 77269, 1083, 236743, 236832, 236778, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236800, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 19216, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236778, 827, 623, 11480, 1083, 236743, 236800, 236778, 236764, 623, 976, 1083, 236743, 236778, 236812, 236764, 623, 77269, 1083, 236743, 236832, 236810, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 236764, 623, 19216, 1083, 623, 125055, 204409, 2653, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236800, 827, 623, 11480, 1083, 236743, 236800, 236812, 236764, 623, 976, 1083, 236743, 236778, 236825, 236764, 623, 77269, 1083, 236743, 236825, 236828, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236778, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 19216, 1083, 623, 22631, 55748, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236812, 827, 623, 11480, 1083, 236743, 236800, 236810, 236764, 623, 976, 1083, 236743, 236778, 236832, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236764, 623, 19216, 1083, 623, 23406, 532, 6299, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 11480, 1083, 236743, 236800, 236800, 236764, 623, 976, 1083, 236743, 236778, 236810, 236764, 623, 77269, 1083, 236743, 236832, 236771, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236812, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236764, 623, 19216, 1083, 623, 90264, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236825, 827, 623, 11480, 1083, 236743, 236800, 236778, 236764, 623, 976, 1083, 236743, 236778, 236812, 236764, 623, 77269, 1083, 236743, 236832, 236800, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236810, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236812, 236764, 623, 19216, 1083, 623, 3900, 42790, 139938, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236832, 827, 623, 11480, 1083, 236743, 236800, 236770, 236764, 623, 976, 1083, 236743, 236778, 236800, 236764, 623, 77269, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236825, 236764, 623, 19216, 1083, 623, 45060, 4547, 25938, 1604, 623, 25441, 1083, 623, 38294, 827, 623, 14210, 1083, 623, 100368, 5505, 52916, 568, 236778, 236771, 236770, 236810, 236772, 236778, 236771, 236778, 236812, 1473, 84109, 1494, 236743, 236800, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236764, 34561, 2708, 236743, 236778, 236812, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236764, 236743, 236810, 236810, 236908, 31632, 2668, 236761, 14040, 14415, 3831, 8427, 90756, 2668, 236743, 236800, 236772, 236812, 607, 4869, 6927, 18190, 3209, 528, 506, 2069, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 32672, 573, 1799, 30040, 1913, 822, 136612, 11796, 15467, 7946, 236787, 108, 1018, 8782, 32288, 568, 30211, 236743, 236770, 1473, 1018, 107, 236772, 35267, 236787, 236743, 236800, 236770, 236761, 236810, 237366, 236780, 107, 236772, 208719, 236787, 236743, 236832, 236828, 236908, 107, 236772, 18324, 236787, 236743, 236770, 236778, 236761, 236810, 7251, 236786, 236754, 107, 236772, 212775, 6584, 236787, 236743, 236812, 236771, 236908, 107, 236772, 17488, 236787, 216726, 35898, 108, 1018, 236832, 236772, 13265, 74544, 53121, 107, 236772, 5213, 30211, 236743, 236770, 236772, 236800, 53121, 52489, 531, 139938, 2653, 568, 11480, 236751, 236743, 236800, 236778, 236772, 236800, 236812, 237366, 236780, 236764, 236743, 236800, 236771, 236772, 236825, 236771, 236908, 6927, 6584, 236768, 107, 236772, 5213, 30211, 236743, 236812, 53121, 640, 58534, 1719, 753, 236743, 236800, 236810, 237366, 236780, 607, 3582, 55748, 568, 236770, 236771, 236908, 6927, 236768, 107, 236772, 5213, 30211, 236743, 236810, 236772, 236832, 53121, 65025, 6927, 568, 236812, 236810, 236772, 236825, 236810, 236908, 6584, 236768, 532, 8427, 30927, 14567, 568, 236800, 236770, 236772, 236800, 236800, 237366, 236780, 236768, 108, 1018, 100368, 5505, 562, 42511, 568, 236778, 236771, 236770, 236810, 236772, 236778, 236771, 236778, 236812, 1473, 1018, 107, 236772, 84109, 1494, 236787, 236743, 236800, 236778, 237366, 236780, 107, 236772, 84109, 2708, 236787, 236743, 236778, 236812, 237366, 236780, 107, 236772, 236743, 236810, 236810, 236908, 529, 2668, 1053, 31632, 108, 1018, 201430, 53121, 107, 236770, 236761, 13079, 27472, 78351, 15337, 236764, 496, 6927, 16621, 236764, 532, 3823, 236772, 51686, 12627, 107, 236778, 236761, 27468, 11690, 5085, 6517, 528, 506, 2069, 568, 30211, 236743, 236812, 563, 506, 3101, 598, 1719, 236768, 107, 236800, 236761, 48434, 3715, 31992, 568, 236832, 236771, 236772, 236832, 236828, 11376, 5459, 506, 2069, 107, 236812, 236761, 14066, 35918, 62391, 573, 2668, 236743, 236810, 236772, 236832, 1056, 6927, 563, 4547, 108, 818, 14415, 3831, 672, 2069, 795, 577, 8427, 90756, 1082, 4398, 607, 919, 25020, 37494, 3209, 528, 506, 2069, 5483, 531, 10944, 5505, 9935, 236761, 106, 107, 105, 2364, 107, 236774, 188875, 236787, 5612, 5505, 236743, 236812, 594, 563, 506, 65438, 1719, 607, 3582, 55748, 236764, 564, 1461, 531, 2426, 506, 19296, 3546, 532, 1027, 2404, 14400, 2794, 573, 600, 1719, 531, 2731, 3768, 6733, 236761, 3199, 611, 33205, 600, 1262, 1699, 506, 2487, 6436, 236881, 1637, 506, 19296, 3546, 563, 1494, 236764, 564, 236789, 859, 1202, 531, 3294, 4481, 92332, 532, 496, 5423, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20784, 1083, 78493, 1201, 1083, 623, 27898, 13291, 9299, 827, 623, 7777, 1083, 623, 129318, 19296, 10483, 3546, 1262, 573, 9155, 11024, 532, 14069, 827, 623, 200232, 1083, 3714, 828, 236779, 7926, 236779, 2662, 1083, 9560, 19323, 236786, 7926, 236772, 2662, 23179, 623, 19031, 1083, 3714, 7125, 1083, 623, 2383, 568, 37673, 236764, 41713, 653, 3207, 1463, 22730, 623, 1896, 1083, 623, 2383, 568, 78002, 236772, 8395, 236772, 21738, 6518, 16291, 5237, 3714, 1201, 1083, 623, 19924, 19823, 2794, 9299, 827, 623, 7777, 1083, 623, 12846, 1801, 2404, 15136, 2721, 580, 7606, 3439, 827, 623, 200232, 1083, 3714, 828, 236779, 16602, 236779, 553, 176680, 1083, 9560, 19323, 236786, 16602, 236772, 553, 3203, 2794, 23179, 623, 19031, 1083, 3714, 7125, 1083, 623, 2383, 568, 37673, 236764, 41713, 653, 3207, 1463, 22730, 623, 1896, 1083, 623, 2383, 568, 78002, 236772, 8395, 236772, 21738, 6518, 16291, 5237, 3714, 1201, 1083, 623, 8782, 28789, 9299, 827, 623, 7777, 1083, 623, 129318, 1873, 7606, 3439, 573, 1027, 4563, 827, 623, 200232, 1083, 3714, 828, 236779, 4002, 236779, 19323, 1083, 9560, 19323, 236786, 4002, 23179, 623, 19031, 1083, 3714, 7125, 1083, 623, 2383, 568, 37673, 236764, 41713, 653, 3207, 1463, 16291, 1807, 21111, 106, 107, 105, 4368, 107, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 27898, 13291, 9299, 827, 623, 33178, 1083, 3714, 7125, 1083, 623, 4199, 30040, 236764, 11404, 236764, 8288, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236812, 127096, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 19924, 19823, 2794, 9299, 827, 623, 33178, 1083, 3714, 7125, 1083, 623, 4199, 30040, 236764, 11404, 236764, 8288, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236812, 127096, 107, 954, 13205, 236779, 6639, 236813, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 2404, 532, 19296, 5646, 1938, 573, 5505, 236743, 236812, 594, 528, 1799, 30040, 236787, 5213, 27898, 13291, 53121, 753, 5213, 9501, 53121, 62477, 568, 236770, 236770, 236761, 236778, 236768, 753, 5213, 85901, 35174, 53121, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236800, 236787, 236771, 236771, 8711, 753, 5213, 53377, 53121, 236743, 236778, 236828, 236908, 3715, 1082, 5505, 236789, 236751, 4398, 19296, 3546, 568, 236828, 236761, 236832, 236768, 5213, 19924, 19823, 2794, 53121, 753, 27213, 31379, 568, 236819, 236810, 236908, 31992, 4275, 236768, 753, 5661, 19779, 35868, 236787, 155100, 4535, 23464, 531, 623, 2805, 37841, 573, 13719, 4402, 236775, 753, 7718, 18056, 4652, 236787, 16707, 1494, 568, 44049, 7112, 2653, 528, 236743, 236770, 236810, 4310, 529, 10885, 236768, 5213, 201430, 53121, 236743, 236770, 236761, 13079, 91346, 236743, 236810, 236771, 236862, 92332, 532, 5510, 1418, 236743, 236778, 3885, 236743, 236778, 236761, 42641, 496, 5777, 236772, 1457, 548, 1992, 5423, 532, 19296, 236772, 91844, 44230, 236743, 236800, 236761, 90917, 496, 145921, 36187, 573, 23791, 236743, 236812, 236761, 46203, 1982, 3768, 10885, 1913, 11519, 19296, 3885, 236743, 236810, 236761, 29365, 71322, 607, 42257, 19060, 568, 77269, 795, 6439, 24490, 9286, 236768, 669, 13610, 19296, 4535, 9292, 607, 1494, 31992, 2619, 496, 4011, 12978, 573, 5387, 236772, 10619, 53828, 753, 56856, 23791, 532, 71552, 1913, 107118, 3885, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 9813, 5646, 25890, 573, 5505, 236743, 236812, 594, 528, 1799, 30040, 236787, 108, 1018, 27898, 13291, 53121, 138, 107, 236772, 5213, 136074, 568, 236770, 236770, 236761, 236778, 62902, 236787, 236743, 236778, 236828, 236908, 3715, 1082, 5505, 236789, 236751, 4398, 568, 236828, 236761, 236832, 236768, 138, 107, 236772, 5213, 88939, 28405, 66515, 236743, 236770, 236771, 8151, 753, 236743, 236800, 8711, 568, 54670, 1982, 3768, 10885, 236768, 138, 107, 236772, 5213, 76053, 32180, 66515, 53599, 2653, 528, 236743, 236770, 236810, 4310, 2180, 6733, 138, 108, 1018, 19924, 19823, 2794, 53121, 138, 107, 236772, 5213, 57064, 35868, 66515, 236743, 236819, 236810, 236908, 31992, 795, 33225, 16204, 1343, 24490, 138, 107, 236772, 5213, 17995, 19779, 66515, 155100, 657, 623, 2805, 37841, 573, 13719, 4402, 236775, 4535, 138, 107, 236772, 5213, 51274, 35868, 66515, 4819, 4652, 529, 5387, 78370, 236786, 16283, 28896, 138, 108, 1018, 103250, 85134, 4361, 53121, 138, 107, 240732, 91346, 236743, 236810, 236771, 236862, 1813, 236772, 36954, 92332, 568, 500, 16298, 1418, 236743, 236778, 3885, 236768, 138, 107, 240732, 24252, 236811, 236743, 236810, 236771, 236862, 3768, 6733, 15337, 568, 5843, 44661, 10325, 573, 11519, 3885, 236768, 138, 107, 240732, 45735, 236772, 1457, 548, 1992, 5423, 900, 19296, 236772, 91844, 44230, 138, 107, 240732, 12500, 96781, 36187, 568, 1708, 23791, 1913, 156304, 236786, 4545, 2391, 236768, 138, 107, 240732, 110222, 654, 31351, 568, 1071, 17262, 31992, 236772, 21681, 82123, 236768, 138, 107, 240732, 646, 236819, 236810, 23966, 568, 1708, 2634, 3325, 6733, 1913, 11690, 4749, 236768, 138, 108, 1018, 61569, 42065, 53121, 138, 107, 236770, 236761, 9620, 11690, 14680, 5085, 1680, 236743, 236770, 236771, 8151, 653, 1308, 236743, 236800, 8711, 138, 107, 236778, 236761, 6890, 16204, 51487, 532, 8442, 522, 7807, 568, 122111, 496, 24282, 15425, 8340, 236768, 138, 107, 236800, 236761, 26295, 2634, 3325, 850, 12496, 51599, 138, 107, 236812, 236761, 7803, 606, 62913, 1884, 20627, 1418, 236743, 236800, 236771, 4310, 1913, 49157, 112226, 138, 108, 2094, 13610, 19296, 1984, 9292, 607, 3423, 31992, 14004, 496, 6749, 4652, 3453, 753, 56856, 19447, 44081, 1913, 107118, 532, 1161, 53091, 6733, 11298, 236761, 669, 55767, 9690, 2820, 29842, 6733, 563, 618, 2132, 618, 3768, 6733, 573, 13719, 7010, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 6995, 531, 6316, 1041, 7972, 672, 9735, 532, 1202, 1601, 58098, 855, 506, 1791, 990, 531, 577, 19850, 236761, 3199, 611, 2426, 506, 5213, 19323, 1018, 532, 5213, 1404, 3325, 1018, 573, 5213, 18939, 13245, 1018, 3124, 532, 16922, 236881, 1701, 506, 7606, 236764, 564, 1461, 531, 1281, 506, 4022, 236764, 6584, 529, 6927, 236764, 532, 6573, 4249, 237028, 38279, 768, 625, 236858, 859, 577, 2311, 80766, 573, 29080, 236761, 1701, 2634, 3325, 236764, 564, 1202, 506, 95915, 236777, 3546, 532, 1027, 2404, 14400, 2794, 2338, 564, 236858, 560, 1010, 8178, 130303, 33208, 236761, 1637, 506, 4945, 1385, 4287, 3124, 840, 2480, 16922, 236764, 564, 236858, 859, 4491, 3097, 1299, 236761, 6542, 236764, 768, 611, 740, 236764, 3600, 496, 236743, 236778, 236772, 13807, 4771, 1546, 1719, 607, 506, 1791, 3439, 236761, 3551, 8705, 532, 564, 2473, 1581, 2056, 614, 3649, 5597, 6478, 768, 625, 236858, 236751, 5367, 625, 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, 236778, 236764, 623, 77269, 1083, 236743, 236810, 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, 2074, 236779, 7617, 1083, 236743, 236832, 236828, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236825, 236800, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236819, 236764, 623, 44340, 1083, 236743, 236771, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236770, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236825, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236800, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236832, 236764, 623, 44340, 1083, 236743, 236771, 15947, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 18939, 13245, 827, 623, 4002, 236779, 1404, 236779, 15276, 1083, 3714, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 10618, 1083, 623, 11947, 827, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236810, 1083, 236743, 236770, 236810, 236764, 623, 236748, 236800, 1083, 236743, 236810, 236771, 236764, 623, 1904, 236778, 1083, 236743, 236770, 236828, 236764, 623, 814, 236778, 1083, 236743, 236810, 1263, 623, 16602, 236779, 85038, 847, 1083, 623, 17995, 3325, 563, 1535, 236761, 2301, 14523, 4354, 10498, 623, 125595, 236779, 41907, 1083, 3714, 27495, 1083, 623, 236832, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 827, 623, 77269, 1083, 623, 236825, 236771, 70887, 623, 15879, 236779, 11243, 1083, 623, 236810, 44269, 827, 623, 15879, 236779, 16145, 1083, 623, 80382, 23179, 623, 9783, 236779, 81234, 236779, 7414, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 23179, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 827, 623, 21101, 236747, 1083, 236743, 236810, 236828, 236764, 623, 10618, 1083, 623, 166920, 827, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236810, 1083, 236743, 236778, 236778, 236764, 623, 236748, 236800, 1083, 236743, 236825, 236810, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236771, 236764, 623, 814, 236778, 1083, 236743, 236825, 1263, 623, 16602, 236779, 85038, 847, 1083, 623, 182638, 4402, 1374, 1966, 24725, 35269, 11690, 130484, 10498, 623, 125595, 236779, 41907, 1083, 3714, 27495, 1083, 623, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 827, 623, 77269, 1083, 623, 236810, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 15879, 236779, 16145, 1083, 623, 236824, 23179, 623, 9783, 236779, 81234, 236779, 7414, 1083, 623, 236825, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8151, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 573, 822, 49115, 6614, 528, 7383, 13245, 236787, 108, 1018, 17076, 236789, 236751, 32288, 53121, 107, 236772, 5213, 26588, 53121, 52489, 236764, 236743, 236832, 236778, 237366, 236811, 5633, 568, 236828, 44269, 6573, 236764, 951, 6927, 769, 8890, 5597, 4771, 236787, 5213, 236825, 236772, 236828, 8151, 1018, 568, 236825, 236810, 236772, 236832, 236771, 237366, 236811, 236764, 236743, 236812, 236772, 236825, 44269, 6573, 769, 18324, 8110, 531, 236743, 236819, 44269, 684, 236743, 236770, 236771, 8151, 236761, 107, 236772, 5213, 17995, 19779, 53121, 95915, 236777, 236743, 236812, 236810, 568, 11947, 769, 2301, 14523, 4354, 236761, 8890, 11690, 4771, 810, 95915, 236777, 236787, 5213, 236770, 236771, 8151, 753, 236743, 236770, 236778, 8711, 1018, 568, 5503, 6573, 1149, 577, 15281, 1299, 769, 107, 236772, 5213, 211199, 53121, 22282, 77372, 5213, 236825, 236772, 236828, 8151, 1018, 573, 3718, 6573, 23257, 236761, 1637, 611, 5278, 3209, 3885, 236764, 95915, 236777, 7474, 1535, 784, 1719, 840, 2414, 186743, 3439, 1308, 236743, 236770, 236771, 8151, 236761, 108, 1018, 125133, 236789, 236751, 32288, 53121, 107, 236772, 5213, 26588, 53121, 216726, 130915, 236764, 236743, 236825, 236828, 237366, 236811, 657, 236743, 236825, 8151, 15213, 531, 236743, 236832, 236828, 237366, 236811, 684, 236743, 236770, 236771, 8151, 568, 236800, 236772, 236832, 44269, 6573, 236764, 951, 6927, 769, 45891, 4771, 236787, 5213, 236825, 236772, 236828, 8151, 1018, 568, 236825, 236828, 236772, 236832, 236800, 237366, 236811, 236764, 236743, 236800, 236772, 236810, 44269, 6573, 769, 107, 236772, 5213, 17995, 19779, 53121, 95915, 236777, 236743, 236810, 236828, 568, 166920, 769, 147001, 4402, 1374, 4576, 35269, 11690, 130484, 236761, 8890, 4771, 810, 95915, 236777, 236787, 5213, 236825, 236772, 236828, 8151, 84750, 107, 236772, 5213, 211199, 53121, 5213, 236825, 236772, 236828, 8151, 1018, 563, 12567, 573, 1800, 7606, 532, 2634, 3325, 236761, 95915, 236777, 29245, 531, 21037, 4535, 236764, 532, 29146, 4595, 2214, 236761, 108, 1018, 17667, 59336, 526, 53121, 138, 107, 115232, 5213, 216984, 568, 236825, 236772, 236828, 8151, 62902, 573, 506, 1791, 7002, 529, 2214, 29146, 568, 236800, 236772, 236810, 44269, 779, 9650, 11139, 568, 236825, 236828, 236772, 236832, 236800, 237366, 236811, 779, 532, 9806, 2634, 3325, 568, 80055, 236777, 236743, 236810, 236828, 769, 1637, 611, 1921, 817, 3124, 236764, 6342, 573, 506, 3649, 5597, 4771, 568, 236825, 236772, 236828, 8151, 236768, 531, 5571, 15281, 29146, 3209, 236761, 2301, 6927, 4275, 3477, 1719, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 6995, 531, 6316, 1041, 7972, 672, 9735, 532, 1202, 1601, 58098, 855, 506, 1791, 990, 531, 577, 19850, 236761, 3199, 611, 2426, 506, 5213, 19323, 1018, 532, 5213, 1404, 3325, 1018, 573, 5213, 18939, 13245, 1018, 3124, 532, 16922, 236881, 1701, 506, 7606, 236764, 564, 1461, 531, 1281, 506, 4022, 236764, 6584, 529, 6927, 236764, 532, 6573, 4249, 237028, 38279, 768, 625, 236858, 859, 577, 2311, 80766, 573, 29080, 236761, 1701, 2634, 3325, 236764, 564, 1202, 506, 95915, 236777, 3546, 532, 1027, 2404, 14400, 2794, 2338, 564, 236858, 560, 1010, 8178, 130303, 33208, 236761, 1637, 506, 4945, 1385, 4287, 3124, 840, 2480, 16922, 236764, 564, 236858, 859, 4491, 3097, 1299, 236761, 6542, 236764, 768, 611, 740, 236764, 3600, 496, 236743, 236778, 236772, 13807, 4771, 1546, 1719, 607, 506, 1791, 3439, 236761, 3551, 8705, 532, 564, 2473, 1581, 2056, 614, 3649, 5597, 6478, 768, 625, 236858, 236751, 5367, 625, 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, 236778, 236764, 623, 77269, 1083, 236743, 236810, 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, 2074, 236779, 7617, 1083, 236743, 236832, 236828, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236825, 236800, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236819, 236764, 623, 44340, 1083, 236743, 236771, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236770, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236825, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236800, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236832, 236764, 623, 44340, 1083, 236743, 236771, 15947, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 18939, 13245, 827, 623, 4002, 236779, 1404, 236779, 15276, 1083, 3714, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 10618, 1083, 623, 11947, 827, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236810, 1083, 236743, 236770, 236810, 236764, 623, 236748, 236800, 1083, 236743, 236810, 236771, 236764, 623, 1904, 236778, 1083, 236743, 236770, 236828, 236764, 623, 814, 236778, 1083, 236743, 236810, 1263, 623, 16602, 236779, 85038, 847, 1083, 623, 17995, 3325, 563, 1535, 236761, 2301, 14523, 4354, 10498, 623, 125595, 236779, 41907, 1083, 3714, 27495, 1083, 623, 236832, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 827, 623, 77269, 1083, 623, 236825, 236771, 70887, 623, 15879, 236779, 11243, 1083, 623, 236810, 44269, 827, 623, 15879, 236779, 16145, 1083, 623, 80382, 23179, 623, 9783, 236779, 81234, 236779, 7414, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 23179, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 827, 623, 21101, 236747, 1083, 236743, 236810, 236828, 236764, 623, 10618, 1083, 623, 166920, 827, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236810, 1083, 236743, 236778, 236778, 236764, 623, 236748, 236800, 1083, 236743, 236825, 236810, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236771, 236764, 623, 814, 236778, 1083, 236743, 236825, 1263, 623, 16602, 236779, 85038, 847, 1083, 623, 182638, 4402, 1374, 1966, 24725, 35269, 11690, 130484, 10498, 623, 125595, 236779, 41907, 1083, 3714, 27495, 1083, 623, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 827, 623, 77269, 1083, 623, 236810, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 15879, 236779, 16145, 1083, 623, 236824, 23179, 623, 9783, 236779, 81234, 236779, 7414, 1083, 623, 236825, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8151, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 573, 822, 49115, 6614, 528, 7383, 13245, 236787, 108, 1018, 17076, 236789, 236751, 32288, 53121, 107, 236772, 5213, 26588, 53121, 52489, 236764, 236743, 236832, 236778, 237366, 236811, 5633, 568, 236828, 44269, 6573, 236764, 951, 6927, 769, 8890, 5597, 4771, 236787, 5213, 236825, 236772, 236828, 8151, 1018, 568, 236825, 236810, 236772, 236832, 236771, 237366, 236811, 236764, 236743, 236812, 236772, 236825, 44269, 6573, 769, 18324, 8110, 531, 236743, 236819, 44269, 684, 236743, 236770, 236771, 8151, 236761, 107, 236772, 5213, 17995, 19779, 53121, 95915, 236777, 236743, 236812, 236810, 568, 11947, 769, 2301, 14523, 4354, 236761, 8890, 11690, 4771, 810, 95915, 236777, 236787, 5213, 236770, 236771, 8151, 753, 236743, 236770, 236778, 8711, 1018, 568, 5503, 6573, 1149, 577, 15281, 1299, 769, 107, 236772, 5213, 211199, 53121, 22282, 77372, 5213, 236825, 236772, 236828, 8151, 1018, 573, 3718, 6573, 23257, 236761, 1637, 611, 5278, 3209, 3885, 236764, 95915, 236777, 7474, 1535, 784, 1719, 840, 2414, 186743, 3439, 1308, 236743, 236770, 236771, 8151, 236761, 108, 1018, 125133, 236789, 236751, 32288, 53121, 107, 236772, 5213, 26588, 53121, 216726, 130915, 236764, 236743, 236825, 236828, 237366, 236811, 657, 236743, 236825, 8151, 15213, 531, 236743, 236832, 236828, 237366, 236811, 684, 236743, 236770, 236771, 8151, 568, 236800, 236772, 236832, 44269, 6573, 236764, 951, 6927, 769, 45891, 4771, 236787, 5213, 236825, 236772, 236828, 8151, 1018, 568, 236825, 236828, 236772, 236832, 236800, 237366, 236811, 236764, 236743, 236800, 236772, 236810, 44269, 6573, 769, 107, 236772, 5213, 17995, 19779, 53121, 95915, 236777, 236743, 236810, 236828, 568, 166920, 769, 147001, 4402, 1374, 4576, 35269, 11690, 130484, 236761, 8890, 4771, 810, 95915, 236777, 236787, 5213, 236825, 236772, 236828, 8151, 84750, 107, 236772, 5213, 211199, 53121, 5213, 236825, 236772, 236828, 8151, 1018, 563, 12567, 573, 1800, 7606, 532, 2634, 3325, 236761, 95915, 236777, 29245, 531, 21037, 4535, 236764, 532, 29146, 4595, 2214, 236761, 108, 1018, 17667, 59336, 526, 53121, 138, 107, 115232, 5213, 216984, 568, 236825, 236772, 236828, 8151, 62902, 573, 506, 1791, 7002, 529, 2214, 29146, 568, 236800, 236772, 236810, 44269, 779, 9650, 11139, 568, 236825, 236828, 236772, 236832, 236800, 237366, 236811, 779, 532, 9806, 2634, 3325, 568, 80055, 236777, 236743, 236810, 236828, 769, 1637, 611, 1921, 817, 3124, 236764, 6342, 573, 506, 3649, 5597, 4771, 568, 236825, 236772, 236828, 8151, 236768, 531, 5571, 15281, 29146, 3209, 236761, 2301, 6927, 4275, 3477, 1719, 236888, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 506, 4011, 6727, 529, 9378, 11795, 531, 8785, 1913, 1041, 3399, 7972, 23241, 532, 89864, 4972, 657, 506, 4467, 236761, 28344, 611, 5091, 33205, 506, 4133, 1694, 529, 784, 2487, 11795, 834, 564, 740, 1502, 1041, 3927, 236881, 564, 236789, 236757, 6412, 7467, 528, 3607, 236789, 236751, 14062, 607, 1535, 4667, 1894, 236764, 2425, 236743, 236828, 236761, 236810, 653, 236743, 236819, 236764, 532, 32138, 528, 496, 28239, 2258, 1133, 35809, 653, 54596, 236761, 3792, 786, 1281, 768, 993, 659, 1027, 28594, 5886, 653, 18241, 8687, 600, 2473, 4208, 15830, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 138622, 1083, 78493, 547, 1083, 623, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 827, 623, 2084, 1083, 623, 96413, 83486, 827, 623, 24385, 1083, 623, 40169, 236789, 236751, 827, 623, 2086, 1083, 623, 236828, 236761, 236810, 827, 623, 3001, 1083, 623, 158861, 153487, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 18332, 12730, 827, 623, 203886, 742, 64147, 827, 623, 14042, 236772, 209501, 62795, 152254, 3714, 547, 1083, 623, 112502, 8791, 236772, 74491, 236855, 827, 623, 2084, 1083, 623, 56504, 175329, 49420, 83486, 827, 623, 24385, 1083, 623, 40169, 236789, 236751, 827, 623, 2086, 1083, 623, 236819, 827, 623, 3001, 1083, 623, 30727, 40759, 37919, 827, 623, 9707, 1083, 236743, 236819, 236812, 236761, 236810, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 236780, 1974, 24568, 799, 2412, 827, 623, 12098, 6078, 7803, 827, 623, 7166, 138081, 164056, 152254, 3714, 547, 1083, 623, 54849, 236773, 236772, 67516, 827, 623, 2084, 1083, 623, 193760, 77353, 4555, 827, 623, 24385, 1083, 623, 40169, 236789, 236751, 827, 623, 2086, 1083, 623, 236828, 236761, 236810, 827, 623, 3001, 1083, 623, 44111, 7086, 827, 623, 9707, 1083, 236743, 236825, 236819, 236761, 236819, 236810, 236764, 623, 46589, 236779, 4818, 1083, 623, 26834, 13827, 827, 623, 16518, 1083, 11058, 18332, 12730, 827, 623, 212269, 120870, 6395, 827, 623, 184402, 23387, 753, 236743, 236778, 236771, 236908, 5357, 99471, 1604, 623, 6725, 236779, 7633, 1083, 236743, 236800, 236764, 623, 221174, 236779, 23184, 1083, 623, 13743, 23387, 236787, 236743, 236770, 236810, 236908, 1135, 784, 9378, 11795, 1343, 5365, 236743, 236800, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 11795, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 68939, 153487, 1018, 138, 107, 139, 236772, 11689, 236789, 236751, 2425, 236743, 236828, 236761, 236810, 9378, 23990, 607, 4667, 1894, 236764, 78351, 18990, 236764, 532, 1908, 236772, 59722, 11097, 236761, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236819, 236819, 568, 902, 13827, 236768, 138, 107, 139, 236772, 161465, 573, 5213, 13743, 23387, 236787, 236743, 236770, 236810, 236908, 1135, 1018, 568, 2068, 5365, 236743, 236800, 236771, 769, 138, 108, 236778, 236761, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 138, 107, 139, 236772, 11689, 236789, 236751, 2425, 236743, 236819, 34922, 9378, 23990, 607, 217106, 528, 2412, 532, 27472, 1702, 236761, 138, 107, 139, 236772, 14584, 236787, 609, 236819, 236812, 236761, 236810, 236771, 568, 902, 13827, 236768, 138, 107, 139, 236772, 6542, 103251, 573, 506, 5213, 236770, 236810, 236908, 8715, 23387, 84750, 138, 108, 236800, 236761, 5213, 54849, 236773, 236772, 67516, 13988, 7086, 1018, 568, 131223, 8040, 19993, 236768, 138, 107, 139, 236772, 11689, 236789, 236751, 2425, 236743, 236828, 236761, 236810, 15189, 102248, 607, 4667, 1894, 532, 16721, 23670, 1670, 236761, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236819, 236761, 236819, 236810, 568, 26834, 13827, 236768, 138, 107, 139, 236772, 5213, 236778, 236771, 236908, 5357, 138999, 23387, 1018, 568, 129510, 12223, 236768, 16819, 236761, 138, 108, 1018, 26253, 66515, 138, 107, 236772, 669, 8715, 23387, 568, 236770, 236810, 236908, 1135, 236768, 16819, 531, 9378, 11795, 1133, 506, 1171, 1156, 3835, 236761, 138, 107, 236772, 669, 4168, 23990, 815, 496, 7732, 236743, 236778, 236771, 236908, 12223, 840, 563, 2708, 2862, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 4889, 573, 1027, 3530, 23990, 1699, 1061, 5853, 568, 236744, 236761, 236759, 1126, 234436, 236772, 236778, 236771, 236778, 236810, 236764, 75469, 8791, 236772, 74491, 236855, 236764, 653, 45801, 236773, 236772, 67516, 20625, 106, 107, 105, 2364, 107, 30092, 611, 2847, 919, 9813, 1938, 1003, 506, 5213, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 68939, 153487, 1018, 1699, 1061, 5853, 236881, 564, 236858, 236753, 1133, 531, 9128, 72320, 1133, 506, 4453, 5417, 236764, 994, 4957, 236764, 532, 3363, 506, 236743, 236770, 236810, 236908, 8715, 23387, 12223, 740, 577, 9292, 607, 1027, 32192, 28281, 236761, 6542, 236764, 659, 993, 16590, 18684, 568, 236744, 236761, 236759, 1126, 34765, 653, 1728, 6909, 236768, 2487, 573, 7408, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 236779, 547, 1083, 623, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 827, 623, 4368, 1083, 623, 158861, 153487, 827, 623, 80234, 1083, 623, 203886, 742, 18990, 7593, 607, 22615, 13069, 67824, 236764, 16721, 192892, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 60781, 236779, 18700, 1083, 11058, 3118, 236743, 236832, 827, 623, 3118, 236743, 236828, 827, 623, 3118, 236743, 236819, 827, 623, 3118, 236743, 236770, 236771, 14255, 623, 2060, 236779, 26286, 1083, 623, 236800, 236771, 2668, 699, 7408, 3433, 607, 3303, 16593, 827, 623, 70343, 236779, 35894, 3092, 1083, 3714, 5412, 236779, 39654, 1083, 623, 236770, 236810, 236908, 1135, 16819, 827, 623, 104011, 6368, 236779, 84051, 1083, 623, 10597, 742, 607, 32192, 28281, 872, 531, 236743, 236778, 236810, 236908, 2558, 12223, 23179, 623, 155896, 1083, 78493, 1201, 1083, 623, 158861, 153487, 180333, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 3001, 236779, 8194, 1083, 11058, 158861, 827, 623, 6907, 827, 623, 7131, 152254, 3714, 1201, 1083, 623, 18332, 12730, 184009, 507, 827, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 2086, 236779, 8194, 1083, 11058, 27753, 827, 623, 66868, 99471, 1604, 623, 7777, 1083, 623, 12098, 6078, 9378, 23990, 5402, 573, 784, 236772, 1496, 5931, 607, 28239, 35809, 67824, 532, 30415, 136901, 4181, 25938, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9813, 25890, 573, 506, 5213, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 68939, 153487, 66515, 138, 108, 236772, 5213, 60914, 66515, 96169, 742, 18990, 7593, 607, 22615, 13069, 67824, 532, 496, 22937, 16721, 192892, 236761, 138, 107, 236772, 5213, 13293, 12329, 66515, 236743, 236800, 236771, 2668, 699, 7408, 3433, 568, 17368, 16593, 3149, 769, 138, 107, 236772, 5213, 4830, 26021, 66515, 138, 107, 138, 236772, 5213, 236770, 236810, 236908, 8715, 23387, 1018, 16819, 568, 4730, 1343, 5365, 236743, 236800, 236771, 769, 138, 107, 138, 236772, 5213, 10597, 742, 607, 32192, 28281, 1018, 568, 1048, 531, 236743, 236778, 236810, 236908, 2558, 12223, 769, 138, 107, 236772, 5213, 210024, 18326, 66515, 138, 107, 138, 236772, 5213, 158861, 153487, 180333, 1018, 6131, 236770, 236778, 236761, 236819, 236819, 236764, 2258, 3835, 236787, 68939, 236764, 5561, 236764, 7286, 769, 138, 107, 138, 236772, 5213, 18332, 12730, 184009, 507, 1018, 6131, 236778, 236812, 236761, 236819, 236819, 236764, 11550, 236787, 40179, 236786, 66868, 769, 138, 108, 1018, 9770, 66515, 562, 27472, 9378, 23990, 5402, 573, 784, 236772, 1496, 5931, 236764, 18482, 28239, 35809, 67824, 532, 30415, 136901, 14896, 237028, 50936, 573, 7972, 23241, 653, 82840, 657, 144621, 12219, 236888, 138, 108, 38786, 611, 1133, 1601, 607, 4658, 1663, 236881, 103453, 106, 107, 105, 2364, 107, 30092, 611, 992, 33205, 9813, 1938, 573, 506, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 1699, 1061, 5853, 236881, 564, 236858, 236753, 1133, 531, 10769, 1061, 4065, 2678, 236772, 2003, 236772, 2897, 607, 506, 68939, 153487, 237028, 145300, 506, 5417, 236764, 24227, 2846, 236764, 532, 3363, 506, 1638, 32192, 28281, 5510, 236761, 18741, 236764, 659, 993, 1027, 5602, 10595, 653, 24074, 2487, 573, 672, 2028, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 236779, 547, 1083, 623, 112502, 8791, 236772, 74491, 236855, 827, 623, 4368, 1083, 623, 155525, 236772, 30418, 199400, 37919, 827, 623, 80234, 1083, 623, 203886, 742, 18990, 7593, 236764, 43389, 16721, 23670, 1670, 236764, 6571, 25483, 528, 2412, 827, 623, 177129, 236779, 23735, 1083, 623, 236770, 1051, 699, 7408, 3433, 827, 623, 104011, 6368, 236779, 170802, 236779, 90190, 1083, 1847, 236764, 623, 104011, 6368, 236779, 17185, 236779, 23184, 1083, 623, 134526, 236751, 236743, 236810, 3298, 810, 609, 236770, 7785, 236793, 17793, 573, 14417, 4374, 36498, 827, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236764, 623, 43852, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 54133, 22064, 529, 5931, 532, 3117, 573, 6376, 23241, 236761, 669, 4667, 1894, 563, 20987, 9332, 1263, 3714, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 236796, 28520, 106350, 236764, 840, 506, 54596, 2258, 118812, 8427, 1308, 35269, 3768, 10885, 1781, 200808, 623, 9707, 1083, 6610, 236770, 236778, 236819, 236761, 236819, 236819, 827, 623, 2086, 236779, 56905, 1083, 3714, 3118, 1083, 11058, 236832, 827, 623, 236828, 827, 623, 236828, 236761, 236810, 827, 623, 236819, 827, 623, 236770, 236771, 827, 623, 236770, 236770, 14255, 623, 30722, 1083, 11058, 236812, 236771, 827, 623, 236812, 236770, 827, 623, 236812, 236778, 827, 623, 236812, 236800, 827, 623, 236812, 236812, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9813, 25890, 573, 506, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 532, 496, 9960, 607, 506, 5213, 158861, 153487, 66515, 138, 108, 10354, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 138, 107, 236772, 5213, 60914, 66515, 96169, 742, 18990, 7593, 236764, 43389, 16721, 23670, 1670, 236764, 6571, 25483, 528, 2412, 236761, 138, 107, 236772, 5213, 214721, 22053, 66515, 236743, 236770, 1051, 699, 7408, 3433, 568, 160579, 1082, 68939, 153487, 236858, 236751, 236743, 236800, 236771, 236772, 1496, 994, 4957, 769, 138, 107, 236772, 5213, 204880, 6368, 77217, 66515, 138, 107, 138, 236772, 161465, 573, 32192, 1948, 568, 803, 3852, 236743, 236810, 3298, 810, 609, 236770, 7785, 769, 138, 107, 138, 236772, 68039, 4374, 36498, 5510, 568, 32596, 61573, 3435, 618, 68939, 153487, 236764, 872, 531, 236743, 236778, 236810, 236908, 2558, 12223, 769, 138, 107, 236772, 5213, 19952, 31727, 66515, 138, 107, 138, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 568, 236770, 236778, 236832, 10595, 769, 138, 107, 138, 236772, 5213, 47619, 51474, 66515, 138, 107, 140, 236772, 165996, 54133, 22064, 529, 5931, 532, 3117, 573, 6376, 23241, 236761, 669, 4667, 1894, 563, 20987, 9332, 236829, 568, 236810, 240281, 236768, 138, 107, 140, 236772, 165996, 236796, 28520, 106350, 236764, 840, 506, 54596, 2258, 118812, 8427, 1308, 35269, 3768, 10885, 1781, 236829, 568, 236812, 240281, 236768, 138, 108, 10354, 5213, 22373, 236772, 2003, 236772, 22373, 36520, 1018, 138, 107, 236909, 37868, 152, 236909, 5213, 112502, 8791, 236772, 74491, 236855, 1018, 162, 236909, 5213, 158861, 153487, 1018, 162, 236909, 138, 107, 236909, 2819, 1611, 236909, 2819, 2819, 40686, 236909, 2819, 2819, 24912, 236909, 138, 107, 236909, 5213, 11280, 1018, 150, 236909, 609, 236770, 236778, 236819, 236761, 236819, 236819, 236829, 568, 2763, 906, 236758, 5710, 8601, 3426, 236768, 142, 236909, 609, 236828, 236819, 236761, 236819, 236819, 568, 236770, 236810, 236908, 8715, 23387, 16819, 236768, 145, 236909, 138, 107, 236909, 5213, 18332, 12730, 1018, 143, 236909, 29179, 25483, 528, 2412, 158, 236909, 145971, 623, 18332, 12730, 236775, 4926, 146, 236909, 138, 107, 236909, 5213, 210024, 1018, 144, 236909, 2301, 18684, 9456, 155, 236909, 114653, 34765, 532, 1728, 6909, 2487, 141, 236909, 138, 107, 236909, 5213, 3484, 202179, 75786, 1018, 1109, 127297, 524, 528, 10595, 156, 236909, 2301, 29625, 10928, 4785, 152, 236909, 138, 108, 1018, 10282, 580, 14584, 66515, 669, 75469, 8791, 236772, 74491, 236855, 236858, 236751, 9456, 3385, 1590, 6131, 236770, 236778, 236819, 236761, 236819, 236819, 236768, 28847, 607, 506, 6517, 609, 236819, 236812, 236761, 236810, 236771, 3385, 699, 506, 23191, 236761, 1174, 1451, 10128, 496, 4803, 3385, 4610, 653, 614, 3165, 237028, 41928, 611, 1133, 786, 531, 16807, 672, 59725, 236881, 138, 108, 38786, 611, 1133, 65977, 580, 672, 653, 10686, 607, 4658, 1663, 236881, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 506, 4011, 6727, 529, 9378, 11795, 531, 8785, 1913, 1041, 3399, 7972, 23241, 532, 89864, 4972, 657, 506, 4467, 236761, 28344, 611, 5091, 33205, 506, 4133, 1694, 529, 784, 2487, 11795, 834, 564, 740, 1502, 1041, 3927, 236881, 564, 236789, 236757, 6412, 7467, 528, 3607, 236789, 236751, 14062, 607, 1535, 4667, 1894, 236764, 2425, 236743, 236828, 236761, 236810, 653, 236743, 236819, 236764, 532, 32138, 528, 496, 28239, 2258, 1133, 35809, 653, 54596, 236761, 3792, 786, 1281, 768, 993, 659, 1027, 28594, 5886, 653, 18241, 8687, 600, 2473, 4208, 15830, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 138622, 1083, 78493, 547, 1083, 623, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 827, 623, 2084, 1083, 623, 96413, 83486, 827, 623, 24385, 1083, 623, 40169, 236789, 236751, 827, 623, 2086, 1083, 623, 236828, 236761, 236810, 827, 623, 3001, 1083, 623, 158861, 153487, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 18332, 12730, 827, 623, 203886, 742, 64147, 827, 623, 14042, 236772, 209501, 62795, 152254, 3714, 547, 1083, 623, 112502, 8791, 236772, 74491, 236855, 827, 623, 2084, 1083, 623, 56504, 175329, 49420, 83486, 827, 623, 24385, 1083, 623, 40169, 236789, 236751, 827, 623, 2086, 1083, 623, 236819, 827, 623, 3001, 1083, 623, 30727, 40759, 37919, 827, 623, 9707, 1083, 236743, 236819, 236812, 236761, 236810, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 236780, 1974, 24568, 799, 2412, 827, 623, 12098, 6078, 7803, 827, 623, 7166, 138081, 164056, 152254, 3714, 547, 1083, 623, 54849, 236773, 236772, 67516, 827, 623, 2084, 1083, 623, 193760, 77353, 4555, 827, 623, 24385, 1083, 623, 40169, 236789, 236751, 827, 623, 2086, 1083, 623, 236828, 236761, 236810, 827, 623, 3001, 1083, 623, 44111, 7086, 827, 623, 9707, 1083, 236743, 236825, 236819, 236761, 236819, 236810, 236764, 623, 46589, 236779, 4818, 1083, 623, 26834, 13827, 827, 623, 16518, 1083, 11058, 18332, 12730, 827, 623, 212269, 120870, 6395, 827, 623, 184402, 23387, 753, 236743, 236778, 236771, 236908, 5357, 99471, 1604, 623, 6725, 236779, 7633, 1083, 236743, 236800, 236764, 623, 221174, 236779, 23184, 1083, 623, 13743, 23387, 236787, 236743, 236770, 236810, 236908, 1135, 784, 9378, 11795, 1343, 5365, 236743, 236800, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 11795, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 68939, 153487, 1018, 138, 107, 139, 236772, 11689, 236789, 236751, 2425, 236743, 236828, 236761, 236810, 9378, 23990, 607, 4667, 1894, 236764, 78351, 18990, 236764, 532, 1908, 236772, 59722, 11097, 236761, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236819, 236819, 568, 902, 13827, 236768, 138, 107, 139, 236772, 161465, 573, 5213, 13743, 23387, 236787, 236743, 236770, 236810, 236908, 1135, 1018, 568, 2068, 5365, 236743, 236800, 236771, 769, 138, 108, 236778, 236761, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 138, 107, 139, 236772, 11689, 236789, 236751, 2425, 236743, 236819, 34922, 9378, 23990, 607, 217106, 528, 2412, 532, 27472, 1702, 236761, 138, 107, 139, 236772, 14584, 236787, 609, 236819, 236812, 236761, 236810, 236771, 568, 902, 13827, 236768, 138, 107, 139, 236772, 6542, 103251, 573, 506, 5213, 236770, 236810, 236908, 8715, 23387, 84750, 138, 108, 236800, 236761, 5213, 54849, 236773, 236772, 67516, 13988, 7086, 1018, 568, 131223, 8040, 19993, 236768, 138, 107, 139, 236772, 11689, 236789, 236751, 2425, 236743, 236828, 236761, 236810, 15189, 102248, 607, 4667, 1894, 532, 16721, 23670, 1670, 236761, 138, 107, 139, 236772, 14584, 236787, 609, 236825, 236819, 236761, 236819, 236810, 568, 26834, 13827, 236768, 138, 107, 139, 236772, 5213, 236778, 236771, 236908, 5357, 138999, 23387, 1018, 568, 129510, 12223, 236768, 16819, 236761, 138, 108, 1018, 26253, 66515, 138, 107, 236772, 669, 8715, 23387, 568, 236770, 236810, 236908, 1135, 236768, 16819, 531, 9378, 11795, 1133, 506, 1171, 1156, 3835, 236761, 138, 107, 236772, 669, 4168, 23990, 815, 496, 7732, 236743, 236778, 236771, 236908, 12223, 840, 563, 2708, 2862, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 4889, 573, 1027, 3530, 23990, 1699, 1061, 5853, 568, 236744, 236761, 236759, 1126, 234436, 236772, 236778, 236771, 236778, 236810, 236764, 75469, 8791, 236772, 74491, 236855, 236764, 653, 45801, 236773, 236772, 67516, 20625, 106, 107, 105, 2364, 107, 30092, 611, 2847, 919, 9813, 1938, 1003, 506, 5213, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 68939, 153487, 1018, 1699, 1061, 5853, 236881, 564, 236858, 236753, 1133, 531, 9128, 72320, 1133, 506, 4453, 5417, 236764, 994, 4957, 236764, 532, 3363, 506, 236743, 236770, 236810, 236908, 8715, 23387, 12223, 740, 577, 9292, 607, 1027, 32192, 28281, 236761, 6542, 236764, 659, 993, 16590, 18684, 568, 236744, 236761, 236759, 1126, 34765, 653, 1728, 6909, 236768, 2487, 573, 7408, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 236779, 547, 1083, 623, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 827, 623, 4368, 1083, 623, 158861, 153487, 827, 623, 80234, 1083, 623, 203886, 742, 18990, 7593, 607, 22615, 13069, 67824, 236764, 16721, 192892, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 60781, 236779, 18700, 1083, 11058, 3118, 236743, 236832, 827, 623, 3118, 236743, 236828, 827, 623, 3118, 236743, 236819, 827, 623, 3118, 236743, 236770, 236771, 14255, 623, 2060, 236779, 26286, 1083, 623, 236800, 236771, 2668, 699, 7408, 3433, 607, 3303, 16593, 827, 623, 70343, 236779, 35894, 3092, 1083, 3714, 5412, 236779, 39654, 1083, 623, 236770, 236810, 236908, 1135, 16819, 827, 623, 104011, 6368, 236779, 84051, 1083, 623, 10597, 742, 607, 32192, 28281, 872, 531, 236743, 236778, 236810, 236908, 2558, 12223, 23179, 623, 155896, 1083, 78493, 1201, 1083, 623, 158861, 153487, 180333, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 3001, 236779, 8194, 1083, 11058, 158861, 827, 623, 6907, 827, 623, 7131, 152254, 3714, 1201, 1083, 623, 18332, 12730, 184009, 507, 827, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 2086, 236779, 8194, 1083, 11058, 27753, 827, 623, 66868, 99471, 1604, 623, 7777, 1083, 623, 12098, 6078, 9378, 23990, 5402, 573, 784, 236772, 1496, 5931, 607, 28239, 35809, 67824, 532, 30415, 136901, 4181, 25938, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9813, 25890, 573, 506, 5213, 74491, 236855, 236772, 236778, 236771, 236778, 236810, 68939, 153487, 66515, 138, 108, 236772, 5213, 60914, 66515, 96169, 742, 18990, 7593, 607, 22615, 13069, 67824, 532, 496, 22937, 16721, 192892, 236761, 138, 107, 236772, 5213, 13293, 12329, 66515, 236743, 236800, 236771, 2668, 699, 7408, 3433, 568, 17368, 16593, 3149, 769, 138, 107, 236772, 5213, 4830, 26021, 66515, 138, 107, 138, 236772, 5213, 236770, 236810, 236908, 8715, 23387, 1018, 16819, 568, 4730, 1343, 5365, 236743, 236800, 236771, 769, 138, 107, 138, 236772, 5213, 10597, 742, 607, 32192, 28281, 1018, 568, 1048, 531, 236743, 236778, 236810, 236908, 2558, 12223, 769, 138, 107, 236772, 5213, 210024, 18326, 66515, 138, 107, 138, 236772, 5213, 158861, 153487, 180333, 1018, 6131, 236770, 236778, 236761, 236819, 236819, 236764, 2258, 3835, 236787, 68939, 236764, 5561, 236764, 7286, 769, 138, 107, 138, 236772, 5213, 18332, 12730, 184009, 507, 1018, 6131, 236778, 236812, 236761, 236819, 236819, 236764, 11550, 236787, 40179, 236786, 66868, 769, 138, 108, 1018, 9770, 66515, 562, 27472, 9378, 23990, 5402, 573, 784, 236772, 1496, 5931, 236764, 18482, 28239, 35809, 67824, 532, 30415, 136901, 14896, 237028, 50936, 573, 7972, 23241, 653, 82840, 657, 144621, 12219, 236888, 138, 108, 38786, 611, 1133, 1601, 607, 4658, 1663, 236881, 103453, 106, 107, 105, 2364, 107, 30092, 611, 992, 33205, 9813, 1938, 573, 506, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 1699, 1061, 5853, 236881, 564, 236858, 236753, 1133, 531, 10769, 1061, 4065, 2678, 236772, 2003, 236772, 2897, 607, 506, 68939, 153487, 237028, 145300, 506, 5417, 236764, 24227, 2846, 236764, 532, 3363, 506, 1638, 32192, 28281, 5510, 236761, 18741, 236764, 659, 993, 1027, 5602, 10595, 653, 24074, 2487, 573, 672, 2028, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 236779, 547, 1083, 623, 112502, 8791, 236772, 74491, 236855, 827, 623, 4368, 1083, 623, 155525, 236772, 30418, 199400, 37919, 827, 623, 80234, 1083, 623, 203886, 742, 18990, 7593, 236764, 43389, 16721, 23670, 1670, 236764, 6571, 25483, 528, 2412, 827, 623, 177129, 236779, 23735, 1083, 623, 236770, 1051, 699, 7408, 3433, 827, 623, 104011, 6368, 236779, 170802, 236779, 90190, 1083, 1847, 236764, 623, 104011, 6368, 236779, 17185, 236779, 23184, 1083, 623, 134526, 236751, 236743, 236810, 3298, 810, 609, 236770, 7785, 236793, 17793, 573, 14417, 4374, 36498, 827, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236764, 623, 43852, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 54133, 22064, 529, 5931, 532, 3117, 573, 6376, 23241, 236761, 669, 4667, 1894, 563, 20987, 9332, 1263, 3714, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 236796, 28520, 106350, 236764, 840, 506, 54596, 2258, 118812, 8427, 1308, 35269, 3768, 10885, 1781, 200808, 623, 9707, 1083, 6610, 236770, 236778, 236819, 236761, 236819, 236819, 827, 623, 2086, 236779, 56905, 1083, 3714, 3118, 1083, 11058, 236832, 827, 623, 236828, 827, 623, 236828, 236761, 236810, 827, 623, 236819, 827, 623, 236770, 236771, 827, 623, 236770, 236770, 14255, 623, 30722, 1083, 11058, 236812, 236771, 827, 623, 236812, 236770, 827, 623, 236812, 236778, 827, 623, 236812, 236800, 827, 623, 236812, 236812, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9813, 25890, 573, 506, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 532, 496, 9960, 607, 506, 5213, 158861, 153487, 66515, 138, 108, 10354, 5213, 112502, 8791, 236772, 74491, 236855, 199400, 37919, 1018, 138, 107, 236772, 5213, 60914, 66515, 96169, 742, 18990, 7593, 236764, 43389, 16721, 23670, 1670, 236764, 6571, 25483, 528, 2412, 236761, 138, 107, 236772, 5213, 214721, 22053, 66515, 236743, 236770, 1051, 699, 7408, 3433, 568, 160579, 1082, 68939, 153487, 236858, 236751, 236743, 236800, 236771, 236772, 1496, 994, 4957, 769, 138, 107, 236772, 5213, 204880, 6368, 77217, 66515, 138, 107, 138, 236772, 161465, 573, 32192, 1948, 568, 803, 3852, 236743, 236810, 3298, 810, 609, 236770, 7785, 769, 138, 107, 138, 236772, 68039, 4374, 36498, 5510, 568, 32596, 61573, 3435, 618, 68939, 153487, 236764, 872, 531, 236743, 236778, 236810, 236908, 2558, 12223, 769, 138, 107, 236772, 5213, 19952, 31727, 66515, 138, 107, 138, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236825, 236786, 236810, 568, 236770, 236778, 236832, 10595, 769, 138, 107, 138, 236772, 5213, 47619, 51474, 66515, 138, 107, 140, 236772, 165996, 54133, 22064, 529, 5931, 532, 3117, 573, 6376, 23241, 236761, 669, 4667, 1894, 563, 20987, 9332, 236829, 568, 236810, 240281, 236768, 138, 107, 140, 236772, 165996, 236796, 28520, 106350, 236764, 840, 506, 54596, 2258, 118812, 8427, 1308, 35269, 3768, 10885, 1781, 236829, 568, 236812, 240281, 236768, 138, 108, 10354, 5213, 22373, 236772, 2003, 236772, 22373, 36520, 1018, 138, 107, 236909, 37868, 152, 236909, 5213, 112502, 8791, 236772, 74491, 236855, 1018, 162, 236909, 5213, 158861, 153487, 1018, 162, 236909, 138, 107, 236909, 2819, 1611, 236909, 2819, 2819, 40686, 236909, 2819, 2819, 24912, 236909, 138, 107, 236909, 5213, 11280, 1018, 150, 236909, 609, 236770, 236778, 236819, 236761, 236819, 236819, 236829, 568, 2763, 906, 236758, 5710, 8601, 3426, 236768, 142, 236909, 609, 236828, 236819, 236761, 236819, 236819, 568, 236770, 236810, 236908, 8715, 23387, 16819, 236768, 145, 236909, 138, 107, 236909, 5213, 18332, 12730, 1018, 143, 236909, 29179, 25483, 528, 2412, 158, 236909, 145971, 623, 18332, 12730, 236775, 4926, 146, 236909, 138, 107, 236909, 5213, 210024, 1018, 144, 236909, 2301, 18684, 9456, 155, 236909, 114653, 34765, 532, 1728, 6909, 2487, 141, 236909, 138, 107, 236909, 5213, 3484, 202179, 75786, 1018, 1109, 127297, 524, 528, 10595, 156, 236909, 2301, 29625, 10928, 4785, 152, 236909, 138, 108, 1018, 10282, 580, 14584, 66515, 669, 75469, 8791, 236772, 74491, 236855, 236858, 236751, 9456, 3385, 1590, 6131, 236770, 236778, 236819, 236761, 236819, 236819, 236768, 28847, 607, 506, 6517, 609, 236819, 236812, 236761, 236810, 236771, 3385, 699, 506, 23191, 236761, 1174, 1451, 10128, 496, 4803, 3385, 4610, 653, 614, 3165, 237028, 41928, 611, 1133, 786, 531, 16807, 672, 59725, 236881, 138, 108, 38786, 611, 1133, 65977, 580, 672, 653, 10686, 607, 4658, 1663, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1041, 2260, 5975, 236789, 236751, 2148, 5395, 236888, 5315, 236764, 1531, 236789, 236751, 1586, 672, 2069, 236789, 236751, 1346, 4913, 26460, 6249, 2338, 600, 236789, 236751, 1023, 1873, 18355, 236761, 9920, 692, 735, 1724, 236764, 564, 236789, 236753, 1133, 531, 974, 1070, 2214, 59139, 38295, 1003, 70199, 531, 1138, 1070, 2317, 531, 506, 8699, 236761, 4298, 236764, 1451, 611, 1586, 1027, 32165, 10103, 1003, 506, 1903, 236772, 7577, 2260, 699, 1023, 1694, 236881, 64747, 236764, 564, 1461, 531, 2426, 768, 623, 229186, 9020, 51771, 1692, 236775, 563, 2487, 618, 496, 15345, 580, 103156, 573, 496, 3435, 21269, 2203, 236761, 3792, 236789, 236751, 1502, 607, 506, 2260, 3927, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17133, 1083, 78493, 15080, 1083, 236743, 236770, 236764, 623, 3250, 1083, 623, 818, 82795, 84150, 827, 623, 6386, 1083, 623, 65897, 98881, 827, 623, 7777, 1083, 623, 236776, 101841, 26460, 1076, 528, 236743, 236770, 236819, 236778, 236771, 236751, 9079, 607, 496, 136939, 1626, 26339, 221476, 3714, 15080, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 34036, 236751, 528, 506, 77294, 827, 623, 6386, 1083, 623, 12720, 8943, 827, 623, 7777, 1083, 623, 236776, 56242, 236789, 236751, 7547, 2342, 990, 531, 8974, 496, 3605, 529, 1610, 186464, 221476, 3714, 15080, 1083, 236743, 236800, 236764, 623, 3250, 1083, 623, 179247, 657, 67648, 19212, 827, 623, 6386, 1083, 623, 94537, 2795, 830, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7777, 1083, 623, 236776, 544, 8302, 11456, 236789, 236751, 4996, 3068, 184065, 496, 1944, 25260, 5148, 221476, 3714, 15080, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 818, 1429, 154450, 236789, 236751, 8739, 827, 623, 6386, 1083, 623, 34326, 11210, 827, 623, 7777, 1083, 623, 79796, 31156, 532, 4532, 152047, 98230, 528, 48729, 221476, 3714, 15080, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 211958, 10462, 528, 506, 18705, 827, 623, 6386, 1083, 623, 63865, 32494, 827, 623, 7777, 1083, 623, 236776, 31484, 723, 94751, 496, 40366, 528, 496, 10883, 14105, 5148, 221476, 3714, 15080, 1083, 236743, 236825, 236764, 623, 3250, 1083, 623, 818, 11662, 1293, 617, 827, 623, 6386, 1083, 623, 95667, 80038, 827, 623, 7777, 1083, 623, 161463, 69947, 9710, 1063, 573, 886, 1626, 236764, 11449, 50998, 221476, 3714, 15080, 1083, 236743, 236832, 236764, 623, 3250, 1083, 623, 114711, 507, 529, 8756, 1254, 514, 827, 623, 6386, 1083, 623, 122452, 151782, 827, 623, 7777, 1083, 623, 236776, 85755, 236789, 236751, 12951, 21577, 496, 4108, 529, 5251, 12828, 221476, 3714, 15080, 1083, 236743, 236828, 236764, 623, 3250, 1083, 623, 818, 99232, 13826, 827, 623, 6386, 1083, 623, 96630, 79897, 827, 623, 7777, 1083, 623, 236776, 99742, 77828, 496, 11497, 2978, 607, 6249, 600, 4773, 506, 3402, 221476, 3714, 15080, 1083, 236743, 236819, 236764, 623, 3250, 1083, 623, 151790, 1588, 114475, 827, 623, 6386, 1083, 623, 230638, 137193, 827, 623, 7777, 1083, 623, 236776, 13763, 9909, 236789, 236751, 13919, 579, 79479, 3324, 496, 106699, 6789, 221476, 3714, 15080, 1083, 236743, 236770, 236771, 236764, 623, 3250, 1083, 623, 818, 144554, 179160, 827, 623, 6386, 1083, 623, 11585, 15976, 68719, 827, 623, 7777, 1083, 623, 236776, 9760, 615, 590, 6805, 607, 496, 49558, 1626, 1134, 1781, 104960, 623, 56036, 1083, 623, 234309, 827, 623, 2289, 6516, 1083, 623, 42098, 236779, 14808, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 167259, 1083, 78493, 547, 1083, 623, 88661, 236779, 236771, 236771, 236770, 827, 623, 1005, 1083, 623, 11355, 1537, 236789, 236745, 26460, 6249, 3785, 974, 7445, 236881, 2195, 2462, 2514, 910, 15021, 528, 86625, 41218, 623, 8318, 1083, 236743, 236828, 236819, 236764, 623, 10618, 1083, 623, 234309, 23179, 3714, 547, 1083, 623, 88661, 236779, 236771, 236812, 236778, 827, 623, 1005, 1083, 623, 236777, 6956, 17900, 496, 26460, 607, 496, 11207, 40537, 4896, 236761, 94094, 855, 236764, 506, 43996, 691, 12707, 3582, 784, 3008, 10498, 623, 8318, 1083, 236743, 236828, 236810, 236764, 623, 10618, 1083, 623, 234309, 23179, 3714, 547, 1083, 623, 88661, 236779, 236770, 236770, 236832, 827, 623, 1005, 1083, 623, 198685, 236789, 236751, 62557, 236787, 2088, 776, 611, 7075, 496, 17975, 73715, 236881, 1293, 2462, 6895, 496, 2604, 8134, 1390, 532, 496, 24327, 610, 39511, 10498, 623, 8318, 1083, 236743, 236828, 236778, 236764, 623, 10618, 1083, 623, 234309, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236832, 236764, 623, 10479, 2003, 1083, 623, 8318, 236787, 18819, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 8777, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 82795, 84150, 236787, 55815, 506, 144223, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 827, 623, 19001, 1083, 623, 236812, 236810, 236787, 236800, 236771, 827, 623, 13084, 1083, 236743, 236828, 236810, 236771, 236771, 236771, 236764, 623, 7777, 1083, 623, 2267, 528, 236772, 15104, 1385, 657, 506, 3043, 529, 506, 57149, 32165, 3605, 756, 818, 82795, 84150, 963, 18482, 22555, 607, 506, 6171, 532, 13919, 221476, 3714, 3250, 1083, 623, 818, 82795, 84150, 236787, 39370, 236743, 236770, 753, 669, 72289, 1286, 198612, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236812, 236810, 236825, 827, 623, 19001, 1083, 623, 236778, 236778, 236787, 236770, 236810, 827, 623, 13084, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236764, 623, 7777, 1083, 623, 818, 1171, 11635, 529, 756, 818, 82795, 84150, 236789, 32165, 3605, 236764, 22260, 506, 38320, 529, 506, 26460, 18355, 528, 11089, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 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, 511, 236779, 18700, 1083, 2416, 236764, 623, 4375, 1083, 623, 818, 15345, 756, 229186, 9020, 51771, 1692, 236789, 563, 3016, 3523, 580, 103156, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 4326, 564, 1765, 573, 822, 2260, 5975, 6995, 236787, 108, 1018, 8534, 236743, 236770, 236771, 72289, 20980, 1174, 13444, 53121, 107, 236770, 236761, 808, 818, 82795, 84150, 236829, 684, 18821, 98881, 138, 107, 236778, 236761, 808, 34036, 236751, 528, 506, 77294, 236829, 684, 3415, 8943, 138, 107, 236800, 236761, 808, 179247, 657, 67648, 19212, 236829, 684, 35649, 2795, 830, 236859, 138, 107, 236812, 236761, 808, 818, 1429, 154450, 236789, 236751, 8739, 236829, 684, 9877, 11210, 138, 107, 236810, 236761, 808, 211958, 10462, 528, 506, 18705, 236829, 684, 23589, 32494, 138, 107, 236825, 236761, 808, 818, 11662, 1293, 617, 236829, 684, 34625, 80038, 138, 107, 236832, 236761, 808, 114711, 507, 529, 8756, 1254, 514, 236829, 684, 30181, 151782, 138, 107, 236828, 236761, 808, 818, 99232, 13826, 236829, 684, 24913, 79897, 138, 107, 236819, 236761, 808, 151790, 1588, 114475, 236829, 684, 64840, 137193, 138, 107, 236770, 236771, 236761, 808, 818, 144554, 179160, 236829, 684, 161038, 68719, 138, 108, 1018, 229186, 186080, 573, 46496, 53121, 138, 107, 242850, 165996, 11355, 1537, 236789, 236745, 26460, 6249, 3785, 974, 7445, 236881, 2195, 2462, 2514, 910, 15021, 528, 86625, 9332, 236829, 138, 107, 246533, 165996, 236777, 6956, 17900, 496, 26460, 607, 496, 11207, 40537, 4896, 236761, 94094, 855, 236764, 506, 43996, 691, 12707, 3582, 784, 3008, 1781, 236829, 138, 107, 248556, 165996, 198685, 236789, 236751, 62557, 236787, 2088, 776, 611, 7075, 496, 17975, 73715, 236881, 1293, 2462, 6895, 496, 2604, 8134, 1390, 532, 496, 24327, 610, 39511, 1781, 236829, 108, 1018, 15124, 835, 11994, 28636, 573, 808, 818, 82795, 84150, 236829, 53121, 138, 107, 236770, 236761, 870, 101255, 506, 144223, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 236768, 568, 236812, 236810, 236787, 236800, 236771, 236764, 236743, 236828, 236810, 236767, 8208, 236768, 138, 107, 236778, 236761, 870, 89344, 236743, 236770, 236787, 669, 72289, 1286, 198612, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236812, 236810, 236825, 236768, 568, 236778, 236778, 236787, 236770, 236810, 236764, 236743, 236770, 236778, 236771, 236767, 8208, 236768, 108, 1018, 22527, 1891, 85878, 7179, 53121, 138, 107, 242523, 165996, 229186, 9020, 51771, 1692, 147698, 563, 3016, 3523, 580, 103156, 236761, 21284, 611, 1133, 786, 531, 3600, 24277, 653, 2426, 15830, 573, 12269, 14273, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1041, 2260, 5975, 236789, 236751, 2148, 5395, 236888, 5315, 236764, 1531, 236789, 236751, 1586, 672, 2069, 236789, 236751, 1346, 4913, 26460, 6249, 2338, 600, 236789, 236751, 1023, 1873, 18355, 236761, 9920, 692, 735, 1724, 236764, 564, 236789, 236753, 1133, 531, 974, 1070, 2214, 59139, 38295, 1003, 70199, 531, 1138, 1070, 2317, 531, 506, 8699, 236761, 4298, 236764, 1451, 611, 1586, 1027, 32165, 10103, 1003, 506, 1903, 236772, 7577, 2260, 699, 1023, 1694, 236881, 64747, 236764, 564, 1461, 531, 2426, 768, 623, 229186, 9020, 51771, 1692, 236775, 563, 2487, 618, 496, 15345, 580, 103156, 573, 496, 3435, 21269, 2203, 236761, 3792, 236789, 236751, 1502, 607, 506, 2260, 3927, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17133, 1083, 78493, 15080, 1083, 236743, 236770, 236764, 623, 3250, 1083, 623, 818, 82795, 84150, 827, 623, 6386, 1083, 623, 65897, 98881, 827, 623, 7777, 1083, 623, 236776, 101841, 26460, 1076, 528, 236743, 236770, 236819, 236778, 236771, 236751, 9079, 607, 496, 136939, 1626, 26339, 221476, 3714, 15080, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 34036, 236751, 528, 506, 77294, 827, 623, 6386, 1083, 623, 12720, 8943, 827, 623, 7777, 1083, 623, 236776, 56242, 236789, 236751, 7547, 2342, 990, 531, 8974, 496, 3605, 529, 1610, 186464, 221476, 3714, 15080, 1083, 236743, 236800, 236764, 623, 3250, 1083, 623, 179247, 657, 67648, 19212, 827, 623, 6386, 1083, 623, 94537, 2795, 830, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7777, 1083, 623, 236776, 544, 8302, 11456, 236789, 236751, 4996, 3068, 184065, 496, 1944, 25260, 5148, 221476, 3714, 15080, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 818, 1429, 154450, 236789, 236751, 8739, 827, 623, 6386, 1083, 623, 34326, 11210, 827, 623, 7777, 1083, 623, 79796, 31156, 532, 4532, 152047, 98230, 528, 48729, 221476, 3714, 15080, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 211958, 10462, 528, 506, 18705, 827, 623, 6386, 1083, 623, 63865, 32494, 827, 623, 7777, 1083, 623, 236776, 31484, 723, 94751, 496, 40366, 528, 496, 10883, 14105, 5148, 221476, 3714, 15080, 1083, 236743, 236825, 236764, 623, 3250, 1083, 623, 818, 11662, 1293, 617, 827, 623, 6386, 1083, 623, 95667, 80038, 827, 623, 7777, 1083, 623, 161463, 69947, 9710, 1063, 573, 886, 1626, 236764, 11449, 50998, 221476, 3714, 15080, 1083, 236743, 236832, 236764, 623, 3250, 1083, 623, 114711, 507, 529, 8756, 1254, 514, 827, 623, 6386, 1083, 623, 122452, 151782, 827, 623, 7777, 1083, 623, 236776, 85755, 236789, 236751, 12951, 21577, 496, 4108, 529, 5251, 12828, 221476, 3714, 15080, 1083, 236743, 236828, 236764, 623, 3250, 1083, 623, 818, 99232, 13826, 827, 623, 6386, 1083, 623, 96630, 79897, 827, 623, 7777, 1083, 623, 236776, 99742, 77828, 496, 11497, 2978, 607, 6249, 600, 4773, 506, 3402, 221476, 3714, 15080, 1083, 236743, 236819, 236764, 623, 3250, 1083, 623, 151790, 1588, 114475, 827, 623, 6386, 1083, 623, 230638, 137193, 827, 623, 7777, 1083, 623, 236776, 13763, 9909, 236789, 236751, 13919, 579, 79479, 3324, 496, 106699, 6789, 221476, 3714, 15080, 1083, 236743, 236770, 236771, 236764, 623, 3250, 1083, 623, 818, 144554, 179160, 827, 623, 6386, 1083, 623, 11585, 15976, 68719, 827, 623, 7777, 1083, 623, 236776, 9760, 615, 590, 6805, 607, 496, 49558, 1626, 1134, 1781, 104960, 623, 56036, 1083, 623, 234309, 827, 623, 2289, 6516, 1083, 623, 42098, 236779, 14808, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 167259, 1083, 78493, 547, 1083, 623, 88661, 236779, 236771, 236771, 236770, 827, 623, 1005, 1083, 623, 11355, 1537, 236789, 236745, 26460, 6249, 3785, 974, 7445, 236881, 2195, 2462, 2514, 910, 15021, 528, 86625, 41218, 623, 8318, 1083, 236743, 236828, 236819, 236764, 623, 10618, 1083, 623, 234309, 23179, 3714, 547, 1083, 623, 88661, 236779, 236771, 236812, 236778, 827, 623, 1005, 1083, 623, 236777, 6956, 17900, 496, 26460, 607, 496, 11207, 40537, 4896, 236761, 94094, 855, 236764, 506, 43996, 691, 12707, 3582, 784, 3008, 10498, 623, 8318, 1083, 236743, 236828, 236810, 236764, 623, 10618, 1083, 623, 234309, 23179, 3714, 547, 1083, 623, 88661, 236779, 236770, 236770, 236832, 827, 623, 1005, 1083, 623, 198685, 236789, 236751, 62557, 236787, 2088, 776, 611, 7075, 496, 17975, 73715, 236881, 1293, 2462, 6895, 496, 2604, 8134, 1390, 532, 496, 24327, 610, 39511, 10498, 623, 8318, 1083, 236743, 236828, 236778, 236764, 623, 10618, 1083, 623, 234309, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236800, 236832, 236764, 623, 10479, 2003, 1083, 623, 8318, 236787, 18819, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 8777, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 82795, 84150, 236787, 55815, 506, 144223, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 827, 623, 19001, 1083, 623, 236812, 236810, 236787, 236800, 236771, 827, 623, 13084, 1083, 236743, 236828, 236810, 236771, 236771, 236771, 236764, 623, 7777, 1083, 623, 2267, 528, 236772, 15104, 1385, 657, 506, 3043, 529, 506, 57149, 32165, 3605, 756, 818, 82795, 84150, 963, 18482, 22555, 607, 506, 6171, 532, 13919, 221476, 3714, 3250, 1083, 623, 818, 82795, 84150, 236787, 39370, 236743, 236770, 753, 669, 72289, 1286, 198612, 827, 623, 2451, 1083, 623, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236812, 236810, 236825, 827, 623, 19001, 1083, 623, 236778, 236778, 236787, 236770, 236810, 827, 623, 13084, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236764, 623, 7777, 1083, 623, 818, 1171, 11635, 529, 756, 818, 82795, 84150, 236789, 32165, 3605, 236764, 22260, 506, 38320, 529, 506, 26460, 18355, 528, 11089, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 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, 511, 236779, 18700, 1083, 2416, 236764, 623, 4375, 1083, 623, 818, 15345, 756, 229186, 9020, 51771, 1692, 236789, 563, 3016, 3523, 580, 103156, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 4326, 564, 1765, 573, 822, 2260, 5975, 6995, 236787, 108, 1018, 8534, 236743, 236770, 236771, 72289, 20980, 1174, 13444, 53121, 107, 236770, 236761, 808, 818, 82795, 84150, 236829, 684, 18821, 98881, 138, 107, 236778, 236761, 808, 34036, 236751, 528, 506, 77294, 236829, 684, 3415, 8943, 138, 107, 236800, 236761, 808, 179247, 657, 67648, 19212, 236829, 684, 35649, 2795, 830, 236859, 138, 107, 236812, 236761, 808, 818, 1429, 154450, 236789, 236751, 8739, 236829, 684, 9877, 11210, 138, 107, 236810, 236761, 808, 211958, 10462, 528, 506, 18705, 236829, 684, 23589, 32494, 138, 107, 236825, 236761, 808, 818, 11662, 1293, 617, 236829, 684, 34625, 80038, 138, 107, 236832, 236761, 808, 114711, 507, 529, 8756, 1254, 514, 236829, 684, 30181, 151782, 138, 107, 236828, 236761, 808, 818, 99232, 13826, 236829, 684, 24913, 79897, 138, 107, 236819, 236761, 808, 151790, 1588, 114475, 236829, 684, 64840, 137193, 138, 107, 236770, 236771, 236761, 808, 818, 144554, 179160, 236829, 684, 161038, 68719, 138, 108, 1018, 229186, 186080, 573, 46496, 53121, 138, 107, 242850, 165996, 11355, 1537, 236789, 236745, 26460, 6249, 3785, 974, 7445, 236881, 2195, 2462, 2514, 910, 15021, 528, 86625, 9332, 236829, 138, 107, 246533, 165996, 236777, 6956, 17900, 496, 26460, 607, 496, 11207, 40537, 4896, 236761, 94094, 855, 236764, 506, 43996, 691, 12707, 3582, 784, 3008, 1781, 236829, 138, 107, 248556, 165996, 198685, 236789, 236751, 62557, 236787, 2088, 776, 611, 7075, 496, 17975, 73715, 236881, 1293, 2462, 6895, 496, 2604, 8134, 1390, 532, 496, 24327, 610, 39511, 1781, 236829, 108, 1018, 15124, 835, 11994, 28636, 573, 808, 818, 82795, 84150, 236829, 53121, 138, 107, 236770, 236761, 870, 101255, 506, 144223, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 236768, 568, 236812, 236810, 236787, 236800, 236771, 236764, 236743, 236828, 236810, 236767, 8208, 236768, 138, 107, 236778, 236761, 870, 89344, 236743, 236770, 236787, 669, 72289, 1286, 198612, 5457, 2574, 1411, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236812, 236810, 236825, 236768, 568, 236778, 236778, 236787, 236770, 236810, 236764, 236743, 236770, 236778, 236771, 236767, 8208, 236768, 108, 1018, 22527, 1891, 85878, 7179, 53121, 138, 107, 242523, 165996, 229186, 9020, 51771, 1692, 147698, 563, 3016, 3523, 580, 103156, 236761, 21284, 611, 1133, 786, 531, 3600, 24277, 653, 2426, 15830, 573, 12269, 14273, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 236789, 560, 1010, 151538, 1217, 531, 22223, 1041, 1262, 3671, 1695, 607, 1041, 1610, 35490, 236761, 197996, 236764, 564, 236789, 560, 14275, 496, 19902, 528, 10883, 7760, 600, 22064, 25030, 981, 607, 9578, 54491, 236761, 28344, 611, 1601, 786, 11327, 14175, 600, 1694, 16217, 13616, 26614, 1262, 44751, 532, 25075, 5619, 236881, 564, 236789, 236753, 1133, 531, 1460, 28436, 1003, 3195, 7021, 600, 56856, 939, 49371, 981, 753, 8229, 1724, 607, 17597, 12496, 528, 506, 9578, 14896, 2557, 236761, 1174, 2473, 1601, 786, 8701, 1298, 531, 12861, 1041, 1262, 236772, 27612, 26448, 14485, 653, 41049, 580, 21931, 30427, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30182, 1083, 78493, 6265, 236779, 547, 1083, 623, 1692, 236863, 236772, 77470, 236772, 236771, 236771, 236770, 827, 623, 6265, 236779, 2084, 1083, 623, 23362, 236779, 7362, 236779, 9599, 141750, 827, 623, 1201, 1083, 623, 75455, 29235, 71578, 236761, 2108, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 14557, 236779, 2861, 1083, 236743, 236778, 236812, 236828, 236832, 236764, 623, 7777, 1083, 623, 23244, 5411, 528, 16217, 13616, 66486, 1262, 44751, 607, 21931, 1610, 35490, 236761, 25772, 9299, 12434, 607, 3262, 9578, 14896, 14175, 221476, 3714, 6265, 236779, 547, 1083, 623, 7172, 236772, 5672, 236774, 236772, 236771, 236812, 236810, 827, 623, 6265, 236779, 2084, 1083, 623, 19099, 827, 623, 1201, 1083, 623, 2100, 140226, 19590, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 14557, 236779, 2861, 1083, 236743, 236828, 236800, 236778, 236764, 623, 7777, 1083, 623, 15354, 507, 580, 1262, 236772, 27612, 54491, 13616, 236761, 210979, 1759, 236772, 2289, 27674, 607, 54828, 532, 14896, 48951, 12985, 939, 49371, 44100, 221476, 3714, 6265, 236779, 547, 1083, 623, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 827, 623, 6265, 236779, 2084, 1083, 623, 18624, 827, 623, 1201, 1083, 623, 191501, 12553, 40073, 847, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236771, 236832, 236787, 236771, 236771, 236953, 827, 623, 14557, 236779, 2861, 1083, 236743, 236770, 236810, 236825, 236764, 623, 7777, 1083, 623, 12553, 236772, 19631, 1610, 532, 123155, 1702, 13616, 236761, 47203, 51599, 607, 861, 10883, 7760, 528, 118213, 26448, 532, 57337, 30427, 1781, 104960, 623, 6725, 236779, 30182, 1083, 236743, 236770, 236778, 236764, 623, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236764, 623, 28881, 236779, 103411, 1083, 3714, 5034, 236779, 8960, 1083, 1847, 236764, 623, 6265, 236779, 2084, 1083, 623, 23362, 236779, 7362, 236779, 9599, 141750, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1806, 24576, 14175, 600, 8913, 607, 822, 939, 49371, 7675, 236787, 108, 236770, 236761, 5213, 75455, 29235, 71578, 236761, 2108, 568, 1692, 236863, 236772, 77470, 236772, 236771, 236771, 236770, 62902, 107, 139, 236772, 808, 15354, 63508, 50154, 13616, 66486, 1262, 44751, 607, 21931, 1610, 35490, 107, 139, 236772, 808, 8985, 48871, 63508, 18245, 9299, 27674, 607, 9578, 14896, 14175, 107, 139, 236772, 808, 16882, 4308, 63508, 236743, 236778, 236764, 236812, 236828, 236832, 5158, 38332, 107, 139, 236772, 808, 1479, 113458, 63508, 45891, 573, 62896, 1262, 236772, 27612, 26448, 14485, 1343, 9299, 236772, 47452, 35490, 108, 236778, 236761, 5213, 2100, 140226, 19590, 568, 7172, 236772, 5672, 236774, 236772, 236771, 236812, 236810, 62902, 107, 139, 236772, 808, 15354, 63508, 5774, 54491, 13616, 607, 25075, 5619, 107, 139, 236772, 808, 8985, 48871, 63508, 10170, 236772, 2289, 27674, 607, 54828, 236786, 3041, 11303, 107, 139, 236772, 808, 16882, 4308, 63508, 236743, 236828, 236800, 236778, 5158, 38332, 107, 139, 236772, 808, 1479, 113458, 63508, 26079, 573, 31877, 5699, 20226, 1800, 25030, 3671, 532, 9578, 22323, 6130, 108, 236800, 236761, 5213, 191501, 12553, 40073, 847, 568, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 62902, 107, 139, 236772, 808, 15354, 63508, 4300, 1280, 1702, 532, 118213, 1610, 107, 139, 236772, 808, 8985, 48871, 63508, 216659, 12496, 607, 10883, 7760, 107, 139, 236772, 808, 16882, 4308, 63508, 236743, 236770, 236810, 236825, 24576, 38332, 107, 139, 236772, 808, 1479, 113458, 63508, 27717, 4241, 573, 12498, 236772, 19631, 26448, 532, 57337, 19717, 67529, 108, 3243, 1806, 14175, 37837, 13616, 20226, 1800, 8330, 60677, 532, 9578, 10040, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 3195, 38332, 699, 1027, 529, 1239, 7021, 236881, 669, 51599, 236772, 25903, 197332, 12553, 7948, 2473, 2729, 506, 187148, 7760, 573, 118213, 1610, 67529, 236761, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1531, 236789, 236751, 1502, 607, 506, 197332, 12553, 40073, 847, 7948, 2338, 1061, 51599, 12496, 2473, 3761, 506, 1346, 1873, 118213, 1610, 7760, 236761, 28344, 611, 33205, 3530, 3195, 38332, 699, 3738, 782, 14527, 236772, 12553, 236772, 236770, 236770, 236778, 600, 25010, 1660, 1800, 1262, 44751, 532, 9578, 22323, 6130, 236881, 564, 236789, 236757, 6412, 7467, 528, 10883, 13616, 600, 11719, 25470, 21931, 30427, 653, 123155, 26448, 3797, 236761, 3574, 1027, 38332, 4928, 6035, 573, 66051, 25030, 3671, 607, 7628, 25075, 14485, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 547, 1083, 623, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 827, 623, 14557, 236779, 52748, 1083, 78493, 3250, 1083, 623, 102711, 5774, 154377, 40949, 827, 623, 25385, 1083, 623, 38096, 27574, 18605, 827, 623, 7777, 1083, 623, 17399, 57337, 4108, 236772, 5140, 30427, 66051, 1759, 236772, 2289, 1262, 25568, 607, 123155, 1610, 236761, 99423, 14739, 528, 622, 236800, 236761, 2092, 532, 9578, 22323, 127959, 573, 14871, 35490, 10498, 623, 81521, 1083, 11058, 20002, 6371, 528, 1262, 44751, 44362, 827, 623, 49676, 607, 22323, 236772, 27612, 123155, 3797, 827, 623, 75802, 531, 17866, 25030, 32542, 1131, 7628, 7426, 143636, 152254, 3714, 3250, 1083, 623, 27453, 5421, 10205, 56852, 13000, 41284, 827, 623, 25385, 1083, 623, 124468, 15331, 48429, 827, 623, 7777, 1083, 623, 5344, 32050, 236792, 236772, 36359, 26448, 8299, 18362, 600, 25139, 18090, 3671, 529, 11858, 23505, 607, 68610, 3316, 5192, 11381, 573, 21931, 30427, 10498, 623, 81521, 1083, 11058, 29472, 4735, 18922, 2913, 573, 1816, 8299, 827, 623, 11900, 528, 32043, 127533, 532, 5177, 103145, 827, 623, 73094, 39516, 19549, 529, 23093, 9935, 607, 73887, 6667, 99471, 1604, 623, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 30417, 236779, 8960, 1083, 1847, 236764, 623, 28763, 236779, 83593, 1083, 11058, 1516, 44751, 827, 623, 50694, 22323, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 659, 1156, 1873, 10883, 7760, 699, 506, 197332, 12553, 40073, 847, 7948, 568, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 236768, 600, 25010, 17794, 1262, 44751, 607, 9578, 22323, 6035, 236787, 108, 7243, 108, 10354, 236743, 236770, 236761, 5213, 102711, 5774, 154377, 40949, 1018, 138, 107, 1018, 28534, 66515, 55835, 27574, 18605, 138, 107, 1018, 9770, 66515, 138, 107, 17399, 57337, 4108, 236772, 5140, 30427, 66051, 1759, 236772, 2289, 1262, 25568, 607, 123155, 1610, 236761, 99423, 14739, 528, 622, 236800, 236761, 2092, 532, 9578, 22323, 127959, 573, 14871, 35490, 236761, 138, 108, 1018, 3503, 33197, 66515, 138, 107, 236772, 218990, 528, 1262, 44751, 44362, 568, 236744, 236761, 236759, 1126, 622, 236800, 236761, 2092, 236764, 140649, 236768, 138, 107, 236772, 20369, 607, 22323, 236772, 27612, 123155, 3797, 138, 107, 236772, 44179, 531, 17866, 25030, 32542, 1131, 7628, 7426, 143636, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 27453, 5421, 10205, 56852, 13000, 41284, 1018, 138, 107, 1018, 28534, 66515, 127737, 15331, 48429, 138, 107, 1018, 9770, 66515, 138, 107, 5344, 32050, 236792, 236772, 36359, 26448, 8299, 18362, 600, 25139, 18090, 3671, 529, 11858, 23505, 607, 68610, 3316, 5192, 11381, 573, 21931, 30427, 236761, 138, 108, 1018, 3503, 33197, 66515, 138, 107, 236772, 15313, 4735, 18922, 2913, 573, 1816, 8299, 568, 236744, 236761, 236759, 1126, 17856, 236764, 147420, 236768, 138, 107, 236772, 14857, 528, 32043, 127533, 532, 5177, 103145, 138, 107, 236772, 60944, 39516, 19549, 529, 23093, 9935, 607, 73887, 6667, 138, 108, 7243, 108, 22186, 13616, 37837, 506, 18074, 529, 25030, 3671, 532, 7628, 25075, 14485, 236761, 669, 55835, 27574, 2939, 21132, 580, 17864, 236786, 96788, 1262, 54491, 573, 5663, 236786, 36661, 35490, 236764, 1651, 127737, 15331, 48429, 26469, 14739, 528, 66486, 18090, 1816, 3671, 607, 10037, 26448, 3797, 236761, 138, 108, 38786, 611, 1133, 786, 531, 33205, 3739, 4889, 653, 26754, 15700, 573, 3477, 529, 1239, 13616, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 236789, 236753, 1133, 531, 11327, 506, 5213, 27453, 5421, 10205, 56852, 13000, 41284, 1018, 3853, 657, 127737, 15331, 48429, 3342, 236761, 28344, 611, 33205, 506, 3739, 11808, 532, 3530, 26754, 15700, 573, 672, 2939, 236881, 564, 1461, 531, 5330, 1041, 15771, 529, 1262, 236772, 27612, 26448, 35490, 532, 32043, 127533, 5699, 100146, 607, 910, 6035, 236761, 3574, 901, 5278, 13176, 531, 15128, 2707, 607, 3530, 5464, 4735, 44362, 653, 73887, 6667, 528, 910, 53241, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 60333, 3739, 11808, 573, 3530, 3195, 38332, 568, 5282, 127737, 15331, 48429, 236789, 22929, 5421, 10205, 56852, 13000, 41284, 3853, 769, 669, 2487, 6436, 3213, 580, 67896, 3195, 38332, 532, 3738, 28436, 4319, 1082, 9813, 3739, 81014, 236761, 108, 1018, 201430, 53121, 107, 236770, 236761, 26922, 5213, 124468, 15331, 48429, 236789, 5125, 31655, 3104, 1018, 568, 504, 506, 197332, 12553, 40073, 847, 5058, 236768, 5467, 531, 2802, 506, 2587, 3195, 6492, 236761, 107, 236778, 236761, 50514, 822, 15771, 531, 8357, 236787, 107, 139, 236772, 37747, 66051, 18090, 3671, 607, 73887, 6667, 568, 236744, 236761, 236759, 1126, 58770, 21896, 528, 123155, 26448, 236768, 107, 139, 236772, 20369, 607, 32050, 21706, 236786, 6617, 236751, 1133, 147420, 236786, 16251, 141210, 573, 1816, 8299, 107, 139, 236772, 69759, 529, 1262, 236772, 27612, 35490, 568, 236744, 236761, 236759, 1126, 34115, 33954, 236764, 21931, 92815, 236768, 107, 236800, 236761, 54482, 504, 822, 26754, 531, 910, 8249, 24104, 573, 623, 50455, 529, 23093, 9935, 607, 73887, 6667, 1781, 108, 38786, 611, 1133, 1601, 66582, 496, 20054, 15771, 12323, 653, 38737, 8781, 18088, 573, 672, 36989, 2135, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 236789, 560, 1010, 151538, 1217, 531, 22223, 1041, 1262, 3671, 1695, 607, 1041, 1610, 35490, 236761, 197996, 236764, 564, 236789, 560, 14275, 496, 19902, 528, 10883, 7760, 600, 22064, 25030, 981, 607, 9578, 54491, 236761, 28344, 611, 1601, 786, 11327, 14175, 600, 1694, 16217, 13616, 26614, 1262, 44751, 532, 25075, 5619, 236881, 564, 236789, 236753, 1133, 531, 1460, 28436, 1003, 3195, 7021, 600, 56856, 939, 49371, 981, 753, 8229, 1724, 607, 17597, 12496, 528, 506, 9578, 14896, 2557, 236761, 1174, 2473, 1601, 786, 8701, 1298, 531, 12861, 1041, 1262, 236772, 27612, 26448, 14485, 653, 41049, 580, 21931, 30427, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30182, 1083, 78493, 6265, 236779, 547, 1083, 623, 1692, 236863, 236772, 77470, 236772, 236771, 236771, 236770, 827, 623, 6265, 236779, 2084, 1083, 623, 23362, 236779, 7362, 236779, 9599, 141750, 827, 623, 1201, 1083, 623, 75455, 29235, 71578, 236761, 2108, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 14557, 236779, 2861, 1083, 236743, 236778, 236812, 236828, 236832, 236764, 623, 7777, 1083, 623, 23244, 5411, 528, 16217, 13616, 66486, 1262, 44751, 607, 21931, 1610, 35490, 236761, 25772, 9299, 12434, 607, 3262, 9578, 14896, 14175, 221476, 3714, 6265, 236779, 547, 1083, 623, 7172, 236772, 5672, 236774, 236772, 236771, 236812, 236810, 827, 623, 6265, 236779, 2084, 1083, 623, 19099, 827, 623, 1201, 1083, 623, 2100, 140226, 19590, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 14557, 236779, 2861, 1083, 236743, 236828, 236800, 236778, 236764, 623, 7777, 1083, 623, 15354, 507, 580, 1262, 236772, 27612, 54491, 13616, 236761, 210979, 1759, 236772, 2289, 27674, 607, 54828, 532, 14896, 48951, 12985, 939, 49371, 44100, 221476, 3714, 6265, 236779, 547, 1083, 623, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 827, 623, 6265, 236779, 2084, 1083, 623, 18624, 827, 623, 1201, 1083, 623, 191501, 12553, 40073, 847, 827, 623, 5034, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236771, 236832, 236787, 236771, 236771, 236953, 827, 623, 14557, 236779, 2861, 1083, 236743, 236770, 236810, 236825, 236764, 623, 7777, 1083, 623, 12553, 236772, 19631, 1610, 532, 123155, 1702, 13616, 236761, 47203, 51599, 607, 861, 10883, 7760, 528, 118213, 26448, 532, 57337, 30427, 1781, 104960, 623, 6725, 236779, 30182, 1083, 236743, 236770, 236778, 236764, 623, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236764, 623, 28881, 236779, 103411, 1083, 3714, 5034, 236779, 8960, 1083, 1847, 236764, 623, 6265, 236779, 2084, 1083, 623, 23362, 236779, 7362, 236779, 9599, 141750, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1806, 24576, 14175, 600, 8913, 607, 822, 939, 49371, 7675, 236787, 108, 236770, 236761, 5213, 75455, 29235, 71578, 236761, 2108, 568, 1692, 236863, 236772, 77470, 236772, 236771, 236771, 236770, 62902, 107, 139, 236772, 808, 15354, 63508, 50154, 13616, 66486, 1262, 44751, 607, 21931, 1610, 35490, 107, 139, 236772, 808, 8985, 48871, 63508, 18245, 9299, 27674, 607, 9578, 14896, 14175, 107, 139, 236772, 808, 16882, 4308, 63508, 236743, 236778, 236764, 236812, 236828, 236832, 5158, 38332, 107, 139, 236772, 808, 1479, 113458, 63508, 45891, 573, 62896, 1262, 236772, 27612, 26448, 14485, 1343, 9299, 236772, 47452, 35490, 108, 236778, 236761, 5213, 2100, 140226, 19590, 568, 7172, 236772, 5672, 236774, 236772, 236771, 236812, 236810, 62902, 107, 139, 236772, 808, 15354, 63508, 5774, 54491, 13616, 607, 25075, 5619, 107, 139, 236772, 808, 8985, 48871, 63508, 10170, 236772, 2289, 27674, 607, 54828, 236786, 3041, 11303, 107, 139, 236772, 808, 16882, 4308, 63508, 236743, 236828, 236800, 236778, 5158, 38332, 107, 139, 236772, 808, 1479, 113458, 63508, 26079, 573, 31877, 5699, 20226, 1800, 25030, 3671, 532, 9578, 22323, 6130, 108, 236800, 236761, 5213, 191501, 12553, 40073, 847, 568, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 62902, 107, 139, 236772, 808, 15354, 63508, 4300, 1280, 1702, 532, 118213, 1610, 107, 139, 236772, 808, 8985, 48871, 63508, 216659, 12496, 607, 10883, 7760, 107, 139, 236772, 808, 16882, 4308, 63508, 236743, 236770, 236810, 236825, 24576, 38332, 107, 139, 236772, 808, 1479, 113458, 63508, 27717, 4241, 573, 12498, 236772, 19631, 26448, 532, 57337, 19717, 67529, 108, 3243, 1806, 14175, 37837, 13616, 20226, 1800, 8330, 60677, 532, 9578, 10040, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 3195, 38332, 699, 1027, 529, 1239, 7021, 236881, 669, 51599, 236772, 25903, 197332, 12553, 7948, 2473, 2729, 506, 187148, 7760, 573, 118213, 1610, 67529, 236761, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1531, 236789, 236751, 1502, 607, 506, 197332, 12553, 40073, 847, 7948, 2338, 1061, 51599, 12496, 2473, 3761, 506, 1346, 1873, 118213, 1610, 7760, 236761, 28344, 611, 33205, 3530, 3195, 38332, 699, 3738, 782, 14527, 236772, 12553, 236772, 236770, 236770, 236778, 600, 25010, 1660, 1800, 1262, 44751, 532, 9578, 22323, 6130, 236881, 564, 236789, 236757, 6412, 7467, 528, 10883, 13616, 600, 11719, 25470, 21931, 30427, 653, 123155, 26448, 3797, 236761, 3574, 1027, 38332, 4928, 6035, 573, 66051, 25030, 3671, 607, 7628, 25075, 14485, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 547, 1083, 623, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 827, 623, 14557, 236779, 52748, 1083, 78493, 3250, 1083, 623, 102711, 5774, 154377, 40949, 827, 623, 25385, 1083, 623, 38096, 27574, 18605, 827, 623, 7777, 1083, 623, 17399, 57337, 4108, 236772, 5140, 30427, 66051, 1759, 236772, 2289, 1262, 25568, 607, 123155, 1610, 236761, 99423, 14739, 528, 622, 236800, 236761, 2092, 532, 9578, 22323, 127959, 573, 14871, 35490, 10498, 623, 81521, 1083, 11058, 20002, 6371, 528, 1262, 44751, 44362, 827, 623, 49676, 607, 22323, 236772, 27612, 123155, 3797, 827, 623, 75802, 531, 17866, 25030, 32542, 1131, 7628, 7426, 143636, 152254, 3714, 3250, 1083, 623, 27453, 5421, 10205, 56852, 13000, 41284, 827, 623, 25385, 1083, 623, 124468, 15331, 48429, 827, 623, 7777, 1083, 623, 5344, 32050, 236792, 236772, 36359, 26448, 8299, 18362, 600, 25139, 18090, 3671, 529, 11858, 23505, 607, 68610, 3316, 5192, 11381, 573, 21931, 30427, 10498, 623, 81521, 1083, 11058, 29472, 4735, 18922, 2913, 573, 1816, 8299, 827, 623, 11900, 528, 32043, 127533, 532, 5177, 103145, 827, 623, 73094, 39516, 19549, 529, 23093, 9935, 607, 73887, 6667, 99471, 1604, 623, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 30417, 236779, 8960, 1083, 1847, 236764, 623, 28763, 236779, 83593, 1083, 11058, 1516, 44751, 827, 623, 50694, 22323, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 659, 1156, 1873, 10883, 7760, 699, 506, 197332, 12553, 40073, 847, 7948, 568, 14031, 236953, 236772, 12553, 236772, 236770, 236770, 236778, 236768, 600, 25010, 17794, 1262, 44751, 607, 9578, 22323, 6035, 236787, 108, 7243, 108, 10354, 236743, 236770, 236761, 5213, 102711, 5774, 154377, 40949, 1018, 138, 107, 1018, 28534, 66515, 55835, 27574, 18605, 138, 107, 1018, 9770, 66515, 138, 107, 17399, 57337, 4108, 236772, 5140, 30427, 66051, 1759, 236772, 2289, 1262, 25568, 607, 123155, 1610, 236761, 99423, 14739, 528, 622, 236800, 236761, 2092, 532, 9578, 22323, 127959, 573, 14871, 35490, 236761, 138, 108, 1018, 3503, 33197, 66515, 138, 107, 236772, 218990, 528, 1262, 44751, 44362, 568, 236744, 236761, 236759, 1126, 622, 236800, 236761, 2092, 236764, 140649, 236768, 138, 107, 236772, 20369, 607, 22323, 236772, 27612, 123155, 3797, 138, 107, 236772, 44179, 531, 17866, 25030, 32542, 1131, 7628, 7426, 143636, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 27453, 5421, 10205, 56852, 13000, 41284, 1018, 138, 107, 1018, 28534, 66515, 127737, 15331, 48429, 138, 107, 1018, 9770, 66515, 138, 107, 5344, 32050, 236792, 236772, 36359, 26448, 8299, 18362, 600, 25139, 18090, 3671, 529, 11858, 23505, 607, 68610, 3316, 5192, 11381, 573, 21931, 30427, 236761, 138, 108, 1018, 3503, 33197, 66515, 138, 107, 236772, 15313, 4735, 18922, 2913, 573, 1816, 8299, 568, 236744, 236761, 236759, 1126, 17856, 236764, 147420, 236768, 138, 107, 236772, 14857, 528, 32043, 127533, 532, 5177, 103145, 138, 107, 236772, 60944, 39516, 19549, 529, 23093, 9935, 607, 73887, 6667, 138, 108, 7243, 108, 22186, 13616, 37837, 506, 18074, 529, 25030, 3671, 532, 7628, 25075, 14485, 236761, 669, 55835, 27574, 2939, 21132, 580, 17864, 236786, 96788, 1262, 54491, 573, 5663, 236786, 36661, 35490, 236764, 1651, 127737, 15331, 48429, 26469, 14739, 528, 66486, 18090, 1816, 3671, 607, 10037, 26448, 3797, 236761, 138, 108, 38786, 611, 1133, 786, 531, 33205, 3739, 4889, 653, 26754, 15700, 573, 3477, 529, 1239, 13616, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 236789, 236753, 1133, 531, 11327, 506, 5213, 27453, 5421, 10205, 56852, 13000, 41284, 1018, 3853, 657, 127737, 15331, 48429, 3342, 236761, 28344, 611, 33205, 506, 3739, 11808, 532, 3530, 26754, 15700, 573, 672, 2939, 236881, 564, 1461, 531, 5330, 1041, 15771, 529, 1262, 236772, 27612, 26448, 35490, 532, 32043, 127533, 5699, 100146, 607, 910, 6035, 236761, 3574, 901, 5278, 13176, 531, 15128, 2707, 607, 3530, 5464, 4735, 44362, 653, 73887, 6667, 528, 910, 53241, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 60333, 3739, 11808, 573, 3530, 3195, 38332, 568, 5282, 127737, 15331, 48429, 236789, 22929, 5421, 10205, 56852, 13000, 41284, 3853, 769, 669, 2487, 6436, 3213, 580, 67896, 3195, 38332, 532, 3738, 28436, 4319, 1082, 9813, 3739, 81014, 236761, 108, 1018, 201430, 53121, 107, 236770, 236761, 26922, 5213, 124468, 15331, 48429, 236789, 5125, 31655, 3104, 1018, 568, 504, 506, 197332, 12553, 40073, 847, 5058, 236768, 5467, 531, 2802, 506, 2587, 3195, 6492, 236761, 107, 236778, 236761, 50514, 822, 15771, 531, 8357, 236787, 107, 139, 236772, 37747, 66051, 18090, 3671, 607, 73887, 6667, 568, 236744, 236761, 236759, 1126, 58770, 21896, 528, 123155, 26448, 236768, 107, 139, 236772, 20369, 607, 32050, 21706, 236786, 6617, 236751, 1133, 147420, 236786, 16251, 141210, 573, 1816, 8299, 107, 139, 236772, 69759, 529, 1262, 236772, 27612, 35490, 568, 236744, 236761, 236759, 1126, 34115, 33954, 236764, 21931, 92815, 236768, 107, 236800, 236761, 54482, 504, 822, 26754, 531, 910, 8249, 24104, 573, 623, 50455, 529, 23093, 9935, 607, 73887, 6667, 1781, 108, 38786, 611, 1133, 1601, 66582, 496, 20054, 15771, 12323, 653, 38737, 8781, 18088, 573, 672, 36989, 2135, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 2544, 2434, 236772, 21125, 2460, 607, 496, 160800, 7824, 236764, 532, 564, 1202, 1070, 62325, 573, 506, 69980, 236761, 28344, 611, 8729, 496, 18006, 17709, 2471, 528, 52467, 6518, 236881, 1030, 1374, 577, 236743, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 18033, 607, 496, 28239, 2604, 532, 5122, 2258, 10165, 531, 4241, 1023, 11961, 41628, 236761, 6542, 236764, 768, 611, 1451, 3204, 496, 96986, 8134, 3759, 618, 912, 529, 506, 1702, 236764, 600, 1093, 14806, 625, 1063, 531, 506, 18533, 7824, 692, 236789, 500, 1771, 573, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 4767, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 50001, 236772, 7763, 236786, 151503, 236786, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 236761, 5067, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236825, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236812, 236771, 236771, 1263, 623, 14818, 1083, 623, 151503, 827, 623, 5939, 1083, 623, 78951, 827, 623, 23184, 1083, 623, 64556, 96986, 8134, 44366, 528, 2604, 532, 5122, 2258, 10165, 618, 15633, 236761, 9466, 7835, 607, 1494, 9530, 573, 1887, 86338, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 34037, 18006, 17709, 2471, 573, 506, 160800, 236772, 68122, 2460, 236787, 108, 24960, 190077, 728, 51544, 122484, 5457, 2574, 1411, 8358, 236761, 854, 236786, 50001, 236772, 7763, 236786, 151503, 236786, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 236761, 5067, 236768, 108, 1018, 1779, 20303, 53121, 107, 236772, 51287, 236787, 236743, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 18033, 568, 50936, 573, 5177, 69980, 532, 1887, 5417, 236768, 107, 236772, 21657, 236787, 26587, 568, 16518, 96986, 8134, 3759, 607, 2604, 236786, 22278, 2258, 10165, 236768, 107, 236772, 36353, 236787, 4819, 236772, 15276, 52467, 607, 15502, 4820, 107, 236772, 13105, 236772, 2788, 236787, 4819, 9530, 1702, 22606, 29972, 528, 1800, 5177, 532, 13762, 27857, 108, 818, 18533, 7824, 607, 96986, 8134, 44366, 11974, 23948, 1131, 822, 160800, 3495, 1651, 16977, 822, 11961, 41628, 7913, 236761, 1174, 2471, 1374, 981, 1388, 573, 4553, 69980, 236764, 2460, 70295, 236764, 532, 42527, 5417, 236761, 21284, 611, 1133, 786, 531, 1386, 1027, 30981, 531, 506, 1702, 4820, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 2544, 2434, 236772, 21125, 2460, 607, 496, 160800, 7824, 236764, 532, 564, 1202, 1070, 62325, 573, 506, 69980, 236761, 28344, 611, 8729, 496, 18006, 17709, 2471, 528, 52467, 6518, 236881, 1030, 1374, 577, 236743, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 18033, 607, 496, 28239, 2604, 532, 5122, 2258, 10165, 531, 4241, 1023, 11961, 41628, 236761, 6542, 236764, 768, 611, 1451, 3204, 496, 96986, 8134, 3759, 618, 912, 529, 506, 1702, 236764, 600, 1093, 14806, 625, 1063, 531, 506, 18533, 7824, 692, 236789, 500, 1771, 573, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 4767, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 50001, 236772, 7763, 236786, 151503, 236786, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 236761, 5067, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236825, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236812, 236771, 236771, 1263, 623, 14818, 1083, 623, 151503, 827, 623, 5939, 1083, 623, 78951, 827, 623, 23184, 1083, 623, 64556, 96986, 8134, 44366, 528, 2604, 532, 5122, 2258, 10165, 618, 15633, 236761, 9466, 7835, 607, 1494, 9530, 573, 1887, 86338, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 34037, 18006, 17709, 2471, 573, 506, 160800, 236772, 68122, 2460, 236787, 108, 24960, 190077, 728, 51544, 122484, 5457, 2574, 1411, 8358, 236761, 854, 236786, 50001, 236772, 7763, 236786, 151503, 236786, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 236761, 5067, 236768, 108, 1018, 1779, 20303, 53121, 107, 236772, 51287, 236787, 236743, 236825, 236771, 236771, 236781, 236812, 236771, 236771, 18033, 568, 50936, 573, 5177, 69980, 532, 1887, 5417, 236768, 107, 236772, 21657, 236787, 26587, 568, 16518, 96986, 8134, 3759, 607, 2604, 236786, 22278, 2258, 10165, 236768, 107, 236772, 36353, 236787, 4819, 236772, 15276, 52467, 607, 15502, 4820, 107, 236772, 13105, 236772, 2788, 236787, 4819, 9530, 1702, 22606, 29972, 528, 1800, 5177, 532, 13762, 27857, 108, 818, 18533, 7824, 607, 96986, 8134, 44366, 11974, 23948, 1131, 822, 160800, 3495, 1651, 16977, 822, 11961, 41628, 7913, 236761, 1174, 2471, 1374, 981, 1388, 573, 4553, 69980, 236764, 2460, 70295, 236764, 532, 42527, 5417, 236761, 21284, 611, 1133, 786, 531, 1386, 1027, 30981, 531, 506, 1702, 4820, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1262, 580, 506, 1903, 236743, 236770, 236771, 29041, 29479, 684, 2436, 102860, 573, 1366, 236812, 41108, 7545, 3671, 236761, 39799, 236764, 33205, 236787, 236743, 236770, 236768, 14040, 3385, 532, 236743, 236778, 236812, 236772, 13807, 12376, 5542, 573, 74436, 236764, 57480, 236764, 201202, 236764, 181427, 236764, 71679, 236764, 142413, 236788, 236764, 35183, 236764, 90148, 236764, 9586, 7692, 236764, 532, 16869, 2011, 236743, 236778, 236768, 236743, 236832, 236772, 1496, 532, 236743, 236800, 236771, 236772, 1496, 3385, 3731, 573, 1546, 236761, 36353, 506, 3072, 531, 8357, 837, 21237, 1407, 1890, 236770, 236810, 236908, 43866, 528, 506, 1774, 2297, 753, 1023, 33972, 16374, 2473, 7458, 699, 28971, 5434, 19240, 531, 10385, 12230, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 100725, 1083, 3714, 9707, 1083, 236743, 236778, 236819, 236812, 236771, 236771, 236761, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236761, 236778, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236800, 236761, 236828, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236770, 1263, 623, 19642, 1083, 3714, 9707, 1083, 236743, 236770, 236828, 236810, 236771, 236761, 236778, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236828, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236828, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236810, 236761, 236770, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236778, 1263, 623, 10589, 236799, 1083, 3714, 9707, 1083, 236743, 236778, 236812, 236771, 236761, 236832, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236778, 236761, 236800, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236800, 1263, 623, 236917, 11288, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236761, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 236743, 236812, 236761, 236778, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236825, 1263, 623, 28110, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236800, 236770, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236771, 236761, 236778, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236832, 236761, 236812, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236828, 1263, 623, 236796, 3692, 236788, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236778, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236778, 236761, 236770, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236819, 1263, 623, 52762, 1083, 3714, 9707, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236761, 236828, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236770, 236761, 236770, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236810, 1263, 623, 85927, 1083, 3714, 9707, 1083, 236743, 236810, 236761, 236825, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236771, 236761, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236819, 236761, 236800, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236770, 236770, 1263, 623, 7510, 7692, 1083, 3714, 9707, 1083, 236743, 236832, 236761, 236828, 236744, 236772, 236771, 236825, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236800, 236761, 236778, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 236743, 236770, 236828, 236761, 236825, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236770, 236812, 1263, 623, 230635, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236819, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236812, 236761, 236832, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236832, 5237, 623, 4477, 26633, 236779, 122376, 1083, 3714, 7510, 7692, 1083, 3714, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236828, 236761, 236825, 236764, 623, 14210, 1083, 623, 13238, 43866, 13207, 104128, 236770, 236810, 236908, 2352, 528, 236743, 236832, 2668, 16291, 5237, 623, 27617, 1083, 623, 38556, 827, 623, 2289, 6516, 1083, 623, 236832, 236753, 827, 623, 24422, 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, 108855, 236331, 1083, 78493, 1201, 1083, 623, 76688, 827, 623, 22037, 1083, 623, 100725, 827, 623, 4002, 236779, 9707, 1083, 236743, 236825, 236800, 236771, 236771, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236810, 236761, 236778, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236778, 236761, 236832, 1263, 3714, 1201, 1083, 623, 159030, 827, 623, 22037, 1083, 623, 19642, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236771, 236771, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236812, 236761, 236770, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 753, 236828, 236761, 236800, 1263, 3714, 1201, 1083, 623, 10589, 236799, 827, 623, 22037, 1083, 623, 10589, 236799, 827, 623, 4002, 236779, 9707, 1083, 236743, 236825, 236771, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236778, 236761, 236828, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236828, 236761, 236812, 1263, 3714, 1201, 1083, 623, 236917, 11288, 827, 623, 22037, 1083, 623, 236917, 11288, 827, 623, 4002, 236779, 9707, 1083, 236743, 236771, 236761, 236810, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236761, 236800, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 753, 236810, 236761, 236770, 1263, 3714, 1201, 1083, 623, 9789, 3173, 827, 623, 22037, 1083, 623, 28110, 827, 623, 4002, 236779, 9707, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 753, 236800, 236761, 236778, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236778, 236771, 236761, 236819, 1263, 3714, 1201, 1083, 623, 37515, 158870, 827, 623, 22037, 1083, 623, 236796, 3692, 236788, 827, 623, 4002, 236779, 9707, 1083, 236743, 236771, 236761, 236771, 236832, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236778, 236810, 236761, 236825, 1263, 3714, 1201, 1083, 623, 23013, 1925, 827, 623, 22037, 1083, 623, 52762, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236810, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236828, 236761, 236770, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 753, 236770, 236771, 236761, 236778, 1263, 3714, 1201, 1083, 623, 8569, 226278, 827, 623, 22037, 1083, 623, 85927, 827, 623, 4002, 236779, 9707, 1083, 236743, 236810, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 753, 236778, 236761, 236812, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236832, 236761, 236828, 1263, 3714, 1201, 1083, 623, 3138, 21743, 217936, 827, 623, 22037, 1083, 623, 7510, 7692, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236744, 236772, 236771, 236810, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236810, 236761, 236771, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236800, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 77806, 827, 623, 22037, 1083, 623, 230635, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236761, 236778, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236825, 236761, 236832, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236812, 236761, 236778, 104960, 623, 54012, 524, 236779, 47486, 1083, 11058, 10589, 236799, 827, 623, 28110, 827, 623, 236796, 3692, 236788, 827, 623, 85927, 827, 623, 7510, 7692, 14255, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 3671, 529, 1903, 236743, 236770, 236771, 29041, 29479, 573, 822, 1366, 236812, 41108, 7545, 236787, 108, 1018, 40219, 41959, 568, 38556, 62902, 107, 236909, 39936, 143, 236909, 14584, 140, 236909, 236743, 236778, 236812, 236754, 26036, 139, 236909, 236743, 236832, 236753, 14376, 1109, 236743, 236800, 236771, 236753, 14376, 1109, 6285, 26633, 35868, 1109, 107, 236909, 12857, 236909, 24912, 236909, 29118, 236909, 40673, 236909, 12857, 236909, 2819, 726, 236909, 107, 236909, 74436, 144, 236909, 609, 236825, 236800, 236764, 236771, 236771, 236771, 138, 236909, 609, 236778, 236771, 236761, 236771, 236799, 143, 236909, 900, 236810, 236761, 236778, 236908, 141, 236909, 900, 236770, 236778, 236761, 236832, 236908, 141, 236909, 2301, 151, 236909, 107, 236909, 57480, 144, 236909, 609, 236800, 236764, 236771, 236771, 236771, 139, 236909, 609, 236770, 236810, 236761, 236771, 236799, 143, 236909, 900, 236812, 236761, 236770, 236908, 141, 236909, 753, 236828, 236761, 236800, 236908, 142, 236909, 2301, 151, 236909, 107, 236909, 201202, 144, 236909, 609, 236825, 236771, 236771, 141, 236909, 609, 236810, 236761, 236771, 236799, 144, 236909, 900, 236778, 236761, 236828, 236908, 141, 236909, 5213, 236862, 236770, 236828, 236761, 236812, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 181427, 144, 236909, 609, 236771, 236761, 236810, 236771, 140, 236909, 609, 236778, 236761, 236771, 236799, 144, 236909, 900, 236770, 236761, 236800, 236908, 141, 236909, 753, 236810, 236761, 236770, 236908, 142, 236909, 2301, 151, 236909, 107, 236909, 71679, 144, 236909, 609, 236771, 236761, 236812, 236810, 140, 236909, 609, 236770, 236761, 236771, 236799, 144, 236909, 753, 236800, 236761, 236778, 236908, 141, 236909, 5213, 236862, 236778, 236771, 236761, 236819, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 142413, 236788, 143, 236909, 609, 236771, 236761, 236771, 236832, 140, 236909, 609, 236800, 236761, 236771, 236799, 144, 236909, 900, 236770, 236771, 236761, 236810, 236908, 140, 236909, 5213, 236862, 236778, 236810, 236761, 236825, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 35183, 144, 236909, 609, 236770, 236810, 236771, 141, 236909, 609, 236812, 236761, 236771, 236799, 144, 236909, 900, 236828, 236761, 236770, 236908, 141, 236909, 753, 236770, 236771, 236761, 236778, 236908, 141, 236909, 2301, 151, 236909, 107, 236909, 90148, 144, 236909, 609, 236810, 236761, 236771, 236771, 140, 236909, 609, 236770, 236761, 236810, 236799, 144, 236909, 753, 236778, 236761, 236812, 236908, 141, 236909, 5213, 236862, 236770, 236832, 236761, 236828, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 9586, 7692, 143, 236909, 609, 236771, 236761, 236771, 236771, 236771, 236771, 236770, 1109, 609, 236810, 236771, 236771, 236792, 144, 236909, 900, 236770, 236810, 236761, 236771, 236908, 140, 236909, 5213, 236862, 236800, 236771, 236761, 236771, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 16869, 2011, 142, 236909, 609, 236770, 236761, 236778, 236771, 140, 236909, 609, 236770, 236761, 236828, 236799, 144, 236909, 900, 236825, 236761, 236832, 236908, 141, 236909, 900, 236770, 236812, 236761, 236778, 236908, 141, 236909, 2301, 151, 236909, 108, 1018, 3503, 76374, 53121, 107, 236770, 236761, 5213, 13238, 6285, 26633, 109737, 568, 236800, 236771, 236753, 1890, 236770, 236810, 236908, 1473, 1018, 201202, 32156, 236770, 236828, 236761, 236812, 28585, 71679, 32156, 236778, 236771, 236761, 236819, 28585, 142413, 236788, 32156, 236778, 236810, 236761, 236825, 28585, 90148, 32156, 236770, 236832, 236761, 236828, 28585, 9586, 7692, 32156, 236800, 236771, 236761, 236771, 11376, 107, 236778, 236761, 5213, 14254, 84989, 28636, 53121, 74436, 32156, 236770, 236778, 236761, 236832, 28585, 35183, 15554, 236770, 236771, 236761, 236778, 28585, 57480, 15554, 236828, 236761, 236800, 11376, 1407, 3718, 43866, 107, 236800, 236761, 5213, 32394, 27557, 53121, 74436, 6131, 236778, 236771, 236799, 779, 57480, 6131, 236770, 236810, 236799, 779, 142413, 236788, 6131, 236800, 236799, 236768, 15128, 3188, 2436, 46840, 108, 1018, 211199, 53121, 14066, 132187, 28971, 5434, 13148, 607, 74436, 532, 57480, 12230, 573, 41108, 2779, 531, 910, 6658, 11646, 236761, 4819, 236772, 4477, 26633, 21237, 1133, 9586, 7692, 532, 142413, 236788, 1149, 1660, 4652, 45759, 11298, 768, 1456, 573, 33972, 16374, 236761, 108, 2100, 10448, 236787, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 16038, 36963, 4749, 600, 1451, 4100, 1023, 1366, 236812, 41108, 7545, 236761, 6890, 506, 4749, 5904, 531, 33205, 784, 25338, 236772, 10619, 4749, 1534, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 532, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 24271, 573, 74436, 236764, 57480, 236764, 532, 35183, 236761, 12213, 12669, 1133, 3707, 42392, 236764, 17286, 18783, 236764, 532, 18315, 33000, 236761, 22282, 77372, 4749, 600, 2473, 4208, 28971, 3707, 11646, 653, 12562, 5384, 753, 1023, 33972, 2434, 3548, 531, 5608, 3435, 13682, 236786, 116001, 573, 28971, 236772, 5140, 41108, 5434, 236761, 44906, 1239, 14069, 2342, 1023, 1366, 236812, 16347, 71884, 531, 8701, 6749, 21238, 24481, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 76688, 10981, 79993, 236787, 34708, 6306, 82215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 20746, 236772, 1048, 32477, 827, 623, 47486, 1083, 11058, 146073, 14255, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 236764, 623, 62580, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 236764, 623, 7777, 1083, 623, 38322, 16433, 19260, 14526, 15603, 532, 6538, 4258, 9286, 580, 24242, 3707, 23179, 3714, 1201, 1083, 623, 159030, 50246, 36376, 172821, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236771, 236770, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 155215, 827, 623, 47486, 1083, 11058, 100357, 14255, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 236764, 623, 62580, 236779, 8318, 1083, 236743, 236819, 236761, 236770, 236764, 623, 7777, 1083, 623, 18085, 42440, 531, 116131, 44623, 10318, 573, 49180, 236772, 5140, 10091, 23179, 3714, 1201, 1083, 623, 23013, 1925, 31503, 72280, 93582, 40440, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236771, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 98204, 236772, 101826, 28268, 827, 623, 47486, 1083, 11058, 6169, 1925, 14255, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 236764, 623, 62580, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 236764, 623, 7777, 1083, 623, 38322, 33972, 4699, 8846, 200986, 236772, 5140, 6429, 7797, 16074, 5434, 25938, 1604, 623, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 236764, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236770, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236800, 236771, 23179, 623, 28881, 1083, 3714, 47486, 1083, 11058, 146073, 827, 623, 100357, 827, 623, 6169, 1925, 14255, 623, 27975, 1083, 11058, 20746, 236772, 1048, 32477, 827, 623, 155215, 827, 623, 98204, 236772, 101826, 28268, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 16038, 36963, 4749, 7798, 531, 822, 1366, 236812, 41108, 7545, 236787, 108, 1018, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 43669, 51959, 31698, 1018, 107, 236770, 236761, 5213, 76688, 10981, 79993, 568, 30211, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 62902, 107, 139, 236772, 5213, 66207, 27242, 53121, 236743, 236828, 236761, 236778, 236786, 236770, 236771, 107, 139, 236772, 5213, 9473, 53121, 34708, 6306, 12881, 795, 14051, 24242, 236789, 236751, 15603, 4065, 532, 6538, 4258, 15858, 107, 139, 236772, 5213, 1479, 113458, 53121, 3353, 4006, 5052, 573, 28971, 236772, 5140, 41108, 3797, 1699, 74436, 108, 236778, 236761, 5213, 159030, 50246, 36376, 568, 30902, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 62902, 107, 139, 236772, 5213, 66207, 27242, 53121, 236743, 236819, 236761, 236770, 236786, 236770, 236771, 107, 139, 236772, 5213, 9473, 53121, 11250, 17286, 8443, 573, 49180, 236772, 5140, 10091, 107, 139, 236772, 5213, 1479, 113458, 53121, 4819, 3435, 531, 4208, 14143, 6035, 573, 57480, 236772, 5140, 33972, 16374, 108, 236800, 236761, 5213, 23013, 1925, 31503, 93582, 40440, 568, 36022, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 62902, 107, 139, 236772, 5213, 66207, 27242, 53121, 236743, 236832, 236761, 236828, 236786, 236770, 236771, 107, 139, 236772, 5213, 9473, 53121, 30510, 7797, 16074, 5434, 22109, 684, 3262, 33972, 4699, 107, 139, 236772, 5213, 1479, 113458, 53121, 5890, 5506, 573, 28971, 236772, 5140, 41108, 12434, 108, 1018, 100651, 107452, 53121, 107, 236772, 5505, 19260, 1451, 14051, 24242, 236789, 236751, 86338, 573, 9584, 16788, 107, 236772, 5729, 17286, 20394, 7087, 83158, 6995, 573, 14143, 30981, 107, 236772, 5857, 200986, 8912, 100146, 607, 5226, 236772, 236935, 236812, 6995, 4771, 573, 13258, 8688, 108, 1018, 41941, 17994, 53121, 2282, 4133, 506, 9960, 607, 822, 1366, 236812, 16347, 71884, 236764, 564, 1202, 822, 3530, 16347, 14626, 14069, 532, 6145, 58658, 236761, 21284, 611, 1133, 531, 2847, 1724, 573, 13148, 3671, 236881, 108, 211199, 236787, 22282, 77372, 11734, 529, 49180, 236789, 236751, 17286, 18783, 1651, 17373, 18336, 6607, 573, 200986, 236772, 5140, 5434, 1868, 236772, 36022, 236743, 236770, 236771, 236761, 106, 107, 105, 2364, 107, 6845, 573, 16038, 4749, 4596, 531, 201202, 236764, 71679, 236764, 532, 142413, 236788, 1534, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 532, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 30235, 580, 3707, 42392, 236764, 2796, 1965, 4749, 236764, 532, 8770, 38332, 600, 2473, 88866, 910, 43866, 236761, 12713, 236772, 30449, 1239, 607, 1023, 3527, 3671, 529, 1494, 236772, 4477, 26633, 21237, 753, 692, 1202, 531, 6054, 768, 910, 3385, 32202, 88435, 607, 14812, 28971, 4749, 236761, 1174, 795, 1601, 775, 5608, 3363, 531, 3204, 1091, 528, 18336, 41108, 16374, 653, 5571, 2779, 531, 21238, 13682, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236832, 236771, 236770, 236772, 10589, 236799, 827, 623, 1201, 1083, 623, 27118, 831, 35211, 15735, 21705, 79993, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 6264, 831, 236772, 11894, 14255, 623, 10618, 1083, 623, 20746, 236772, 1048, 32477, 827, 623, 63263, 1083, 236743, 236770, 236778, 236828, 236810, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 1263, 3714, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236828, 236770, 236771, 236772, 28110, 827, 623, 1201, 1083, 623, 9789, 3173, 148249, 13573, 63044, 82215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 6307, 3173, 14255, 623, 10618, 1083, 623, 20746, 236772, 1048, 32477, 827, 623, 63263, 1083, 236743, 236819, 236828, 236778, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 1847, 1263, 3714, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236819, 236770, 236810, 236772, 236796, 3692, 236788, 827, 623, 1201, 1083, 623, 37515, 158870, 16110, 115239, 14564, 1965, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236828, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 21029, 158870, 14255, 623, 10618, 1083, 623, 6052, 1965, 827, 623, 63263, 1083, 236743, 236770, 236810, 236825, 236771, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 1263, 3714, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236832, 236778, 236810, 236772, 10589, 236799, 827, 623, 1201, 1083, 623, 27118, 831, 39936, 76592, 580, 43293, 19651, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236778, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 6264, 831, 236772, 11894, 14255, 623, 10618, 1083, 623, 39588, 236772, 52748, 827, 623, 63263, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 104960, 623, 53298, 1083, 3714, 4000, 1083, 236743, 236770, 236764, 623, 2074, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 36493, 236778, 236772, 236778, 236771, 236778, 236810, 23179, 623, 21052, 1083, 3714, 4764, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 99883, 1083, 623, 13902, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 16038, 4749, 573, 201202, 236764, 71679, 236764, 532, 142413, 236788, 30446, 607, 43866, 9935, 236787, 108, 1018, 236935, 236800, 236743, 236778, 236771, 236778, 236810, 12209, 89254, 1018, 107, 236770, 236761, 5213, 27118, 831, 39936, 568, 10589, 236799, 62902, 107, 139, 236772, 5213, 30211, 236743, 236770, 236810, 66515, 102305, 35211, 15735, 21705, 79993, 568, 13238, 175337, 236787, 236743, 236770, 236778, 236764, 236828, 236810, 236771, 236768, 107, 141, 236772, 10981, 11646, 13682, 1913, 19260, 4771, 107, 141, 236772, 3946, 216524, 684, 43293, 19651, 20104, 580, 5505, 236743, 236778, 236810, 568, 236828, 236764, 236819, 236771, 236771, 20644, 236768, 107, 139, 236772, 5213, 202477, 85708, 53121, 145918, 3527, 236743, 236800, 236771, 236753, 43866, 32156, 236770, 236828, 236761, 236812, 11376, 753, 42392, 3187, 138977, 3385, 60956, 108, 236778, 236761, 5213, 9789, 3173, 568, 28110, 62902, 107, 139, 236772, 5213, 30902, 236743, 236778, 236778, 66515, 148249, 13573, 63044, 82215, 568, 13238, 59193, 236768, 107, 141, 236772, 10981, 188369, 607, 3435, 2822, 236772, 6061, 32202, 107, 141, 236772, 7918, 236787, 232013, 2460, 11160, 85859, 568, 4881, 236779, 73561, 236779, 15849, 236768, 107, 139, 236772, 5213, 202477, 85708, 53121, 11873, 2279, 71679, 236789, 236751, 236743, 236800, 236771, 236753, 43866, 32156, 236778, 236771, 236761, 236819, 11376, 753, 2651, 89570, 11082, 4400, 236743, 236778, 236772, 236800, 2069, 3385, 40754, 108, 236800, 236761, 5213, 37515, 158870, 568, 236796, 3692, 236788, 62902, 107, 139, 236772, 5213, 36022, 236743, 236770, 236828, 66515, 16110, 115239, 14564, 1965, 568, 114501, 175337, 236787, 236743, 236770, 236810, 236764, 236825, 236771, 236771, 236768, 107, 141, 236772, 30510, 9095, 2460, 607, 11858, 43866, 57037, 107, 139, 236772, 5213, 202477, 85708, 53121, 181141, 15948, 142413, 236788, 236789, 236751, 13610, 236743, 236800, 236771, 236753, 43866, 32156, 236778, 236810, 236761, 236825, 11376, 753, 146010, 1013, 41063, 2619, 236743, 236812, 236810, 236772, 236825, 236771, 1719, 3385, 22044, 108, 1018, 71398, 28707, 7728, 46030, 13768, 53121, 107, 236909, 39936, 139, 236909, 46030, 236743, 236800, 236771, 236753, 6285, 26633, 1109, 12209, 27938, 1109, 111506, 1109, 107, 236909, 1611, 236909, 2819, 40686, 236909, 29118, 236909, 2819, 236909, 107, 236909, 201202, 140, 236909, 900, 236770, 236828, 236761, 236812, 236908, 154, 236909, 35202, 143, 236909, 168904, 1913, 5505, 42392, 1109, 107, 236909, 71679, 140, 236909, 900, 236778, 236771, 236761, 236819, 236908, 154, 236909, 4819, 145, 236909, 6531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1262, 580, 506, 1903, 236743, 236770, 236771, 29041, 29479, 684, 2436, 102860, 573, 1366, 236812, 41108, 7545, 3671, 236761, 39799, 236764, 33205, 236787, 236743, 236770, 236768, 14040, 3385, 532, 236743, 236778, 236812, 236772, 13807, 12376, 5542, 573, 74436, 236764, 57480, 236764, 201202, 236764, 181427, 236764, 71679, 236764, 142413, 236788, 236764, 35183, 236764, 90148, 236764, 9586, 7692, 236764, 532, 16869, 2011, 236743, 236778, 236768, 236743, 236832, 236772, 1496, 532, 236743, 236800, 236771, 236772, 1496, 3385, 3731, 573, 1546, 236761, 36353, 506, 3072, 531, 8357, 837, 21237, 1407, 1890, 236770, 236810, 236908, 43866, 528, 506, 1774, 2297, 753, 1023, 33972, 16374, 2473, 7458, 699, 28971, 5434, 19240, 531, 10385, 12230, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 100725, 1083, 3714, 9707, 1083, 236743, 236778, 236819, 236812, 236771, 236771, 236761, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236761, 236778, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236800, 236761, 236828, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236770, 1263, 623, 19642, 1083, 3714, 9707, 1083, 236743, 236770, 236828, 236810, 236771, 236761, 236778, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236828, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236828, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236810, 236761, 236770, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236778, 1263, 623, 10589, 236799, 1083, 3714, 9707, 1083, 236743, 236778, 236812, 236771, 236761, 236832, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236778, 236761, 236800, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236800, 1263, 623, 236917, 11288, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236761, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 236743, 236812, 236761, 236778, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236825, 1263, 623, 28110, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236800, 236770, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236771, 236761, 236778, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236832, 236761, 236812, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236828, 1263, 623, 236796, 3692, 236788, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236778, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236778, 236761, 236770, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236819, 1263, 623, 52762, 1083, 3714, 9707, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236761, 236828, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236770, 236761, 236770, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236810, 1263, 623, 85927, 1083, 3714, 9707, 1083, 236743, 236810, 236761, 236825, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236771, 236761, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236819, 236761, 236800, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236770, 236770, 1263, 623, 7510, 7692, 1083, 3714, 9707, 1083, 236743, 236832, 236761, 236828, 236744, 236772, 236771, 236825, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236800, 236761, 236778, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 236743, 236770, 236828, 236761, 236825, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236770, 236812, 1263, 623, 230635, 1083, 3714, 9707, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236819, 236764, 623, 9707, 236779, 4177, 236779, 236832, 236753, 1083, 753, 236812, 236761, 236832, 236764, 623, 16350, 236779, 5565, 236779, 15080, 1083, 236743, 236832, 5237, 623, 4477, 26633, 236779, 122376, 1083, 3714, 7510, 7692, 1083, 3714, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236828, 236761, 236825, 236764, 623, 14210, 1083, 623, 13238, 43866, 13207, 104128, 236770, 236810, 236908, 2352, 528, 236743, 236832, 2668, 16291, 5237, 623, 27617, 1083, 623, 38556, 827, 623, 2289, 6516, 1083, 623, 236832, 236753, 827, 623, 24422, 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, 108855, 236331, 1083, 78493, 1201, 1083, 623, 76688, 827, 623, 22037, 1083, 623, 100725, 827, 623, 4002, 236779, 9707, 1083, 236743, 236825, 236800, 236771, 236771, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236810, 236761, 236778, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236778, 236761, 236832, 1263, 3714, 1201, 1083, 623, 159030, 827, 623, 22037, 1083, 623, 19642, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236771, 236771, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236812, 236761, 236770, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 753, 236828, 236761, 236800, 1263, 3714, 1201, 1083, 623, 10589, 236799, 827, 623, 22037, 1083, 623, 10589, 236799, 827, 623, 4002, 236779, 9707, 1083, 236743, 236825, 236771, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236778, 236761, 236828, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236828, 236761, 236812, 1263, 3714, 1201, 1083, 623, 236917, 11288, 827, 623, 22037, 1083, 623, 236917, 11288, 827, 623, 4002, 236779, 9707, 1083, 236743, 236771, 236761, 236810, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236761, 236800, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 753, 236810, 236761, 236770, 1263, 3714, 1201, 1083, 623, 9789, 3173, 827, 623, 22037, 1083, 623, 28110, 827, 623, 4002, 236779, 9707, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 753, 236800, 236761, 236778, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236778, 236771, 236761, 236819, 1263, 3714, 1201, 1083, 623, 37515, 158870, 827, 623, 22037, 1083, 623, 236796, 3692, 236788, 827, 623, 4002, 236779, 9707, 1083, 236743, 236771, 236761, 236771, 236832, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236778, 236810, 236761, 236825, 1263, 3714, 1201, 1083, 623, 23013, 1925, 827, 623, 22037, 1083, 623, 52762, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236810, 236771, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236828, 236761, 236770, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 753, 236770, 236771, 236761, 236778, 1263, 3714, 1201, 1083, 623, 8569, 226278, 827, 623, 22037, 1083, 623, 85927, 827, 623, 4002, 236779, 9707, 1083, 236743, 236810, 236761, 236771, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 753, 236778, 236761, 236812, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236832, 236761, 236828, 1263, 3714, 1201, 1083, 623, 3138, 21743, 217936, 827, 623, 22037, 1083, 623, 7510, 7692, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236744, 236772, 236771, 236810, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236770, 236810, 236761, 236771, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236800, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 77806, 827, 623, 22037, 1083, 623, 230635, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236761, 236778, 236764, 623, 236778, 236812, 236754, 236779, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236832, 236753, 236779, 4177, 1083, 236743, 236825, 236761, 236832, 236764, 623, 236800, 236771, 236753, 236779, 4177, 1083, 236743, 236770, 236812, 236761, 236778, 104960, 623, 54012, 524, 236779, 47486, 1083, 11058, 10589, 236799, 827, 623, 28110, 827, 623, 236796, 3692, 236788, 827, 623, 85927, 827, 623, 7510, 7692, 14255, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 3671, 529, 1903, 236743, 236770, 236771, 29041, 29479, 573, 822, 1366, 236812, 41108, 7545, 236787, 108, 1018, 40219, 41959, 568, 38556, 62902, 107, 236909, 39936, 143, 236909, 14584, 140, 236909, 236743, 236778, 236812, 236754, 26036, 139, 236909, 236743, 236832, 236753, 14376, 1109, 236743, 236800, 236771, 236753, 14376, 1109, 6285, 26633, 35868, 1109, 107, 236909, 12857, 236909, 24912, 236909, 29118, 236909, 40673, 236909, 12857, 236909, 2819, 726, 236909, 107, 236909, 74436, 144, 236909, 609, 236825, 236800, 236764, 236771, 236771, 236771, 138, 236909, 609, 236778, 236771, 236761, 236771, 236799, 143, 236909, 900, 236810, 236761, 236778, 236908, 141, 236909, 900, 236770, 236778, 236761, 236832, 236908, 141, 236909, 2301, 151, 236909, 107, 236909, 57480, 144, 236909, 609, 236800, 236764, 236771, 236771, 236771, 139, 236909, 609, 236770, 236810, 236761, 236771, 236799, 143, 236909, 900, 236812, 236761, 236770, 236908, 141, 236909, 753, 236828, 236761, 236800, 236908, 142, 236909, 2301, 151, 236909, 107, 236909, 201202, 144, 236909, 609, 236825, 236771, 236771, 141, 236909, 609, 236810, 236761, 236771, 236799, 144, 236909, 900, 236778, 236761, 236828, 236908, 141, 236909, 5213, 236862, 236770, 236828, 236761, 236812, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 181427, 144, 236909, 609, 236771, 236761, 236810, 236771, 140, 236909, 609, 236778, 236761, 236771, 236799, 144, 236909, 900, 236770, 236761, 236800, 236908, 141, 236909, 753, 236810, 236761, 236770, 236908, 142, 236909, 2301, 151, 236909, 107, 236909, 71679, 144, 236909, 609, 236771, 236761, 236812, 236810, 140, 236909, 609, 236770, 236761, 236771, 236799, 144, 236909, 753, 236800, 236761, 236778, 236908, 141, 236909, 5213, 236862, 236778, 236771, 236761, 236819, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 142413, 236788, 143, 236909, 609, 236771, 236761, 236771, 236832, 140, 236909, 609, 236800, 236761, 236771, 236799, 144, 236909, 900, 236770, 236771, 236761, 236810, 236908, 140, 236909, 5213, 236862, 236778, 236810, 236761, 236825, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 35183, 144, 236909, 609, 236770, 236810, 236771, 141, 236909, 609, 236812, 236761, 236771, 236799, 144, 236909, 900, 236828, 236761, 236770, 236908, 141, 236909, 753, 236770, 236771, 236761, 236778, 236908, 141, 236909, 2301, 151, 236909, 107, 236909, 90148, 144, 236909, 609, 236810, 236761, 236771, 236771, 140, 236909, 609, 236770, 236761, 236810, 236799, 144, 236909, 753, 236778, 236761, 236812, 236908, 141, 236909, 5213, 236862, 236770, 236832, 236761, 236828, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 9586, 7692, 143, 236909, 609, 236771, 236761, 236771, 236771, 236771, 236771, 236770, 1109, 609, 236810, 236771, 236771, 236792, 144, 236909, 900, 236770, 236810, 236761, 236771, 236908, 140, 236909, 5213, 236862, 236800, 236771, 236761, 236771, 236908, 1018, 1109, 8438, 150, 236909, 107, 236909, 16869, 2011, 142, 236909, 609, 236770, 236761, 236778, 236771, 140, 236909, 609, 236770, 236761, 236828, 236799, 144, 236909, 900, 236825, 236761, 236832, 236908, 141, 236909, 900, 236770, 236812, 236761, 236778, 236908, 141, 236909, 2301, 151, 236909, 108, 1018, 3503, 76374, 53121, 107, 236770, 236761, 5213, 13238, 6285, 26633, 109737, 568, 236800, 236771, 236753, 1890, 236770, 236810, 236908, 1473, 1018, 201202, 32156, 236770, 236828, 236761, 236812, 28585, 71679, 32156, 236778, 236771, 236761, 236819, 28585, 142413, 236788, 32156, 236778, 236810, 236761, 236825, 28585, 90148, 32156, 236770, 236832, 236761, 236828, 28585, 9586, 7692, 32156, 236800, 236771, 236761, 236771, 11376, 107, 236778, 236761, 5213, 14254, 84989, 28636, 53121, 74436, 32156, 236770, 236778, 236761, 236832, 28585, 35183, 15554, 236770, 236771, 236761, 236778, 28585, 57480, 15554, 236828, 236761, 236800, 11376, 1407, 3718, 43866, 107, 236800, 236761, 5213, 32394, 27557, 53121, 74436, 6131, 236778, 236771, 236799, 779, 57480, 6131, 236770, 236810, 236799, 779, 142413, 236788, 6131, 236800, 236799, 236768, 15128, 3188, 2436, 46840, 108, 1018, 211199, 53121, 14066, 132187, 28971, 5434, 13148, 607, 74436, 532, 57480, 12230, 573, 41108, 2779, 531, 910, 6658, 11646, 236761, 4819, 236772, 4477, 26633, 21237, 1133, 9586, 7692, 532, 142413, 236788, 1149, 1660, 4652, 45759, 11298, 768, 1456, 573, 33972, 16374, 236761, 108, 2100, 10448, 236787, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 16038, 36963, 4749, 600, 1451, 4100, 1023, 1366, 236812, 41108, 7545, 236761, 6890, 506, 4749, 5904, 531, 33205, 784, 25338, 236772, 10619, 4749, 1534, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 532, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 24271, 573, 74436, 236764, 57480, 236764, 532, 35183, 236761, 12213, 12669, 1133, 3707, 42392, 236764, 17286, 18783, 236764, 532, 18315, 33000, 236761, 22282, 77372, 4749, 600, 2473, 4208, 28971, 3707, 11646, 653, 12562, 5384, 753, 1023, 33972, 2434, 3548, 531, 5608, 3435, 13682, 236786, 116001, 573, 28971, 236772, 5140, 41108, 5434, 236761, 44906, 1239, 14069, 2342, 1023, 1366, 236812, 16347, 71884, 531, 8701, 6749, 21238, 24481, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 76688, 10981, 79993, 236787, 34708, 6306, 82215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 20746, 236772, 1048, 32477, 827, 623, 47486, 1083, 11058, 146073, 14255, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 236764, 623, 62580, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 236764, 623, 7777, 1083, 623, 38322, 16433, 19260, 14526, 15603, 532, 6538, 4258, 9286, 580, 24242, 3707, 23179, 3714, 1201, 1083, 623, 159030, 50246, 36376, 172821, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236771, 236770, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 155215, 827, 623, 47486, 1083, 11058, 100357, 14255, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 236764, 623, 62580, 236779, 8318, 1083, 236743, 236819, 236761, 236770, 236764, 623, 7777, 1083, 623, 18085, 42440, 531, 116131, 44623, 10318, 573, 49180, 236772, 5140, 10091, 23179, 3714, 1201, 1083, 623, 23013, 1925, 31503, 72280, 93582, 40440, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236771, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 98204, 236772, 101826, 28268, 827, 623, 47486, 1083, 11058, 6169, 1925, 14255, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 236764, 623, 62580, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 236764, 623, 7777, 1083, 623, 38322, 33972, 4699, 8846, 200986, 236772, 5140, 6429, 7797, 16074, 5434, 25938, 1604, 623, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 236764, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236770, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236800, 236771, 23179, 623, 28881, 1083, 3714, 47486, 1083, 11058, 146073, 827, 623, 100357, 827, 623, 6169, 1925, 14255, 623, 27975, 1083, 11058, 20746, 236772, 1048, 32477, 827, 623, 155215, 827, 623, 98204, 236772, 101826, 28268, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 16038, 36963, 4749, 7798, 531, 822, 1366, 236812, 41108, 7545, 236787, 108, 1018, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 43669, 51959, 31698, 1018, 107, 236770, 236761, 5213, 76688, 10981, 79993, 568, 30211, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 62902, 107, 139, 236772, 5213, 66207, 27242, 53121, 236743, 236828, 236761, 236778, 236786, 236770, 236771, 107, 139, 236772, 5213, 9473, 53121, 34708, 6306, 12881, 795, 14051, 24242, 236789, 236751, 15603, 4065, 532, 6538, 4258, 15858, 107, 139, 236772, 5213, 1479, 113458, 53121, 3353, 4006, 5052, 573, 28971, 236772, 5140, 41108, 3797, 1699, 74436, 108, 236778, 236761, 5213, 159030, 50246, 36376, 568, 30902, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 62902, 107, 139, 236772, 5213, 66207, 27242, 53121, 236743, 236819, 236761, 236770, 236786, 236770, 236771, 107, 139, 236772, 5213, 9473, 53121, 11250, 17286, 8443, 573, 49180, 236772, 5140, 10091, 107, 139, 236772, 5213, 1479, 113458, 53121, 4819, 3435, 531, 4208, 14143, 6035, 573, 57480, 236772, 5140, 33972, 16374, 108, 236800, 236761, 5213, 23013, 1925, 31503, 93582, 40440, 568, 36022, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 62902, 107, 139, 236772, 5213, 66207, 27242, 53121, 236743, 236832, 236761, 236828, 236786, 236770, 236771, 107, 139, 236772, 5213, 9473, 53121, 30510, 7797, 16074, 5434, 22109, 684, 3262, 33972, 4699, 107, 139, 236772, 5213, 1479, 113458, 53121, 5890, 5506, 573, 28971, 236772, 5140, 41108, 12434, 108, 1018, 100651, 107452, 53121, 107, 236772, 5505, 19260, 1451, 14051, 24242, 236789, 236751, 86338, 573, 9584, 16788, 107, 236772, 5729, 17286, 20394, 7087, 83158, 6995, 573, 14143, 30981, 107, 236772, 5857, 200986, 8912, 100146, 607, 5226, 236772, 236935, 236812, 6995, 4771, 573, 13258, 8688, 108, 1018, 41941, 17994, 53121, 2282, 4133, 506, 9960, 607, 822, 1366, 236812, 16347, 71884, 236764, 564, 1202, 822, 3530, 16347, 14626, 14069, 532, 6145, 58658, 236761, 21284, 611, 1133, 531, 2847, 1724, 573, 13148, 3671, 236881, 108, 211199, 236787, 22282, 77372, 11734, 529, 49180, 236789, 236751, 17286, 18783, 1651, 17373, 18336, 6607, 573, 200986, 236772, 5140, 5434, 1868, 236772, 36022, 236743, 236770, 236771, 236761, 106, 107, 105, 2364, 107, 6845, 573, 16038, 4749, 4596, 531, 201202, 236764, 71679, 236764, 532, 142413, 236788, 1534, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 532, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 30235, 580, 3707, 42392, 236764, 2796, 1965, 4749, 236764, 532, 8770, 38332, 600, 2473, 88866, 910, 43866, 236761, 12713, 236772, 30449, 1239, 607, 1023, 3527, 3671, 529, 1494, 236772, 4477, 26633, 21237, 753, 692, 1202, 531, 6054, 768, 910, 3385, 32202, 88435, 607, 14812, 28971, 4749, 236761, 1174, 795, 1601, 775, 5608, 3363, 531, 3204, 1091, 528, 18336, 41108, 16374, 653, 5571, 2779, 531, 21238, 13682, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236832, 236771, 236770, 236772, 10589, 236799, 827, 623, 1201, 1083, 623, 27118, 831, 35211, 15735, 21705, 79993, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 6264, 831, 236772, 11894, 14255, 623, 10618, 1083, 623, 20746, 236772, 1048, 32477, 827, 623, 63263, 1083, 236743, 236770, 236778, 236828, 236810, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 1263, 3714, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236828, 236770, 236771, 236772, 28110, 827, 623, 1201, 1083, 623, 9789, 3173, 148249, 13573, 63044, 82215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 6307, 3173, 14255, 623, 10618, 1083, 623, 20746, 236772, 1048, 32477, 827, 623, 63263, 1083, 236743, 236819, 236828, 236778, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 1847, 1263, 3714, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236819, 236770, 236810, 236772, 236796, 3692, 236788, 827, 623, 1201, 1083, 623, 37515, 158870, 16110, 115239, 14564, 1965, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236770, 236828, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 21029, 158870, 14255, 623, 10618, 1083, 623, 6052, 1965, 827, 623, 63263, 1083, 236743, 236770, 236810, 236825, 236771, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 1263, 3714, 5106, 236779, 547, 1083, 623, 22486, 236774, 236772, 236778, 236771, 236778, 236810, 236771, 236832, 236778, 236810, 236772, 10589, 236799, 827, 623, 1201, 1083, 623, 27118, 831, 39936, 76592, 580, 43293, 19651, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236778, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 47486, 1083, 11058, 6264, 831, 236772, 11894, 14255, 623, 10618, 1083, 623, 39588, 236772, 52748, 827, 623, 63263, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 4881, 236779, 73561, 236779, 15849, 1083, 2416, 104960, 623, 53298, 1083, 3714, 4000, 1083, 236743, 236770, 236764, 623, 2074, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 36493, 236778, 236772, 236778, 236771, 236778, 236810, 23179, 623, 21052, 1083, 3714, 4764, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 99883, 1083, 623, 13902, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 16038, 4749, 573, 201202, 236764, 71679, 236764, 532, 142413, 236788, 30446, 607, 43866, 9935, 236787, 108, 1018, 236935, 236800, 236743, 236778, 236771, 236778, 236810, 12209, 89254, 1018, 107, 236770, 236761, 5213, 27118, 831, 39936, 568, 10589, 236799, 62902, 107, 139, 236772, 5213, 30211, 236743, 236770, 236810, 66515, 102305, 35211, 15735, 21705, 79993, 568, 13238, 175337, 236787, 236743, 236770, 236778, 236764, 236828, 236810, 236771, 236768, 107, 141, 236772, 10981, 11646, 13682, 1913, 19260, 4771, 107, 141, 236772, 3946, 216524, 684, 43293, 19651, 20104, 580, 5505, 236743, 236778, 236810, 568, 236828, 236764, 236819, 236771, 236771, 20644, 236768, 107, 139, 236772, 5213, 202477, 85708, 53121, 145918, 3527, 236743, 236800, 236771, 236753, 43866, 32156, 236770, 236828, 236761, 236812, 11376, 753, 42392, 3187, 138977, 3385, 60956, 108, 236778, 236761, 5213, 9789, 3173, 568, 28110, 62902, 107, 139, 236772, 5213, 30902, 236743, 236778, 236778, 66515, 148249, 13573, 63044, 82215, 568, 13238, 59193, 236768, 107, 141, 236772, 10981, 188369, 607, 3435, 2822, 236772, 6061, 32202, 107, 141, 236772, 7918, 236787, 232013, 2460, 11160, 85859, 568, 4881, 236779, 73561, 236779, 15849, 236768, 107, 139, 236772, 5213, 202477, 85708, 53121, 11873, 2279, 71679, 236789, 236751, 236743, 236800, 236771, 236753, 43866, 32156, 236778, 236771, 236761, 236819, 11376, 753, 2651, 89570, 11082, 4400, 236743, 236778, 236772, 236800, 2069, 3385, 40754, 108, 236800, 236761, 5213, 37515, 158870, 568, 236796, 3692, 236788, 62902, 107, 139, 236772, 5213, 36022, 236743, 236770, 236828, 66515, 16110, 115239, 14564, 1965, 568, 114501, 175337, 236787, 236743, 236770, 236810, 236764, 236825, 236771, 236771, 236768, 107, 141, 236772, 30510, 9095, 2460, 607, 11858, 43866, 57037, 107, 139, 236772, 5213, 202477, 85708, 53121, 181141, 15948, 142413, 236788, 236789, 236751, 13610, 236743, 236800, 236771, 236753, 43866, 32156, 236778, 236810, 236761, 236825, 11376, 753, 146010, 1013, 41063, 2619, 236743, 236812, 236810, 236772, 236825, 236771, 1719, 3385, 22044, 108, 1018, 71398, 28707, 7728, 46030, 13768, 53121, 107, 236909, 39936, 139, 236909, 46030, 236743, 236800, 236771, 236753, 6285, 26633, 1109, 12209, 27938, 1109, 111506, 1109, 107, 236909, 1611, 236909, 2819, 40686, 236909, 29118, 236909, 2819, 236909, 107, 236909, 201202, 140, 236909, 900, 236770, 236828, 236761, 236812, 236908, 154, 236909, 35202, 143, 236909, 168904, 1913, 5505, 42392, 1109, 107, 236909, 71679, 140, 236909, 900, 236778, 236771, 236761, 236819, 236908, 154, 236909, 4819, 145, 236909, 6531 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6972, 1003, 23324, 528, 496, 2544, 600, 14767, 10293, 7681, 21556, 573, 1041, 3402, 33443, 236764, 840, 564, 1461, 531, 1386, 2889, 901, 8913, 607, 1041, 2979, 236761, 3199, 611, 2426, 506, 86101, 19455, 573, 13827, 27277, 236787, 8005, 11925, 236881, 1030, 236789, 236751, 496, 1944, 27313, 2721, 528, 10964, 236764, 532, 564, 236858, 236753, 1133, 531, 1281, 910, 24488, 532, 27414, 14900, 1680, 17154, 855, 236761, 3792, 786, 1281, 768, 506, 1262, 236858, 236751, 2487, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 64939, 1083, 623, 1579, 11925, 827, 623, 125595, 236779, 8318, 1083, 236743, 236828, 236778, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236832, 236810, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236819, 236771, 236764, 623, 37716, 236779, 86546, 1083, 623, 26834, 827, 623, 1516, 236779, 18700, 1083, 1847, 236764, 623, 23184, 1083, 623, 818, 2544, 3831, 3188, 27414, 10154, 532, 21037, 8646, 4100, 236761, 8779, 10598, 19455, 10128, 2978, 573, 11531, 528, 3399, 15154, 19898, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 86101, 3671, 573, 8005, 11925, 568, 99969, 31537, 75848, 1473, 108, 1018, 3503, 116589, 53121, 107, 236772, 5213, 73659, 27242, 53121, 236743, 236828, 236778, 236786, 236770, 236771, 236771, 568, 51757, 24488, 10154, 236764, 21037, 8646, 4100, 236768, 107, 236772, 5213, 30222, 27242, 53121, 236743, 236832, 236810, 236786, 236770, 236771, 236771, 568, 27325, 573, 11531, 528, 3399, 15154, 236768, 107, 236772, 5213, 201521, 27242, 53121, 236743, 236819, 236771, 236786, 236770, 236771, 236771, 568, 60881, 11961, 27414, 10154, 236768, 107, 236772, 5213, 71398, 30076, 53121, 14533, 568, 122926, 86101, 4652, 8781, 236768, 108, 1018, 24355, 53121, 138, 107, 1579, 11925, 29350, 3188, 27414, 532, 8646, 3736, 236764, 837, 100146, 1388, 607, 30426, 6828, 13138, 236761, 3153, 236764, 910, 2777, 10598, 19898, 568, 236744, 236761, 236759, 1126, 3399, 15154, 236764, 6138, 10154, 236768, 3196, 531, 577, 496, 37385, 2433, 236761, 1637, 3399, 4100, 563, 496, 13546, 573, 822, 33443, 236789, 236751, 2979, 236764, 611, 2473, 1966, 24048, 910, 2777, 19898, 5467, 607, 506, 2544, 531, 3050, 910, 6614, 573, 11531, 236761, 108, 38786, 611, 1133, 1601, 59536, 3530, 19455, 653, 66582, 4137, 573, 910, 2434, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6972, 1003, 23324, 528, 496, 2544, 600, 14767, 10293, 7681, 21556, 573, 1041, 3402, 33443, 236764, 840, 564, 1461, 531, 1386, 2889, 901, 8913, 607, 1041, 2979, 236761, 3199, 611, 2426, 506, 86101, 19455, 573, 13827, 27277, 236787, 8005, 11925, 236881, 1030, 236789, 236751, 496, 1944, 27313, 2721, 528, 10964, 236764, 532, 564, 236858, 236753, 1133, 531, 1281, 910, 24488, 532, 27414, 14900, 1680, 17154, 855, 236761, 3792, 786, 1281, 768, 506, 1262, 236858, 236751, 2487, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14973, 236779, 64939, 1083, 623, 1579, 11925, 827, 623, 125595, 236779, 8318, 1083, 236743, 236828, 236778, 236764, 623, 22504, 236779, 8318, 1083, 236743, 236832, 236810, 236764, 623, 84688, 76634, 236779, 8318, 1083, 236743, 236819, 236771, 236764, 623, 37716, 236779, 86546, 1083, 623, 26834, 827, 623, 1516, 236779, 18700, 1083, 1847, 236764, 623, 23184, 1083, 623, 818, 2544, 3831, 3188, 27414, 10154, 532, 21037, 8646, 4100, 236761, 8779, 10598, 19455, 10128, 2978, 573, 11531, 528, 3399, 15154, 19898, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 86101, 3671, 573, 8005, 11925, 568, 99969, 31537, 75848, 1473, 108, 1018, 3503, 116589, 53121, 107, 236772, 5213, 73659, 27242, 53121, 236743, 236828, 236778, 236786, 236770, 236771, 236771, 568, 51757, 24488, 10154, 236764, 21037, 8646, 4100, 236768, 107, 236772, 5213, 30222, 27242, 53121, 236743, 236832, 236810, 236786, 236770, 236771, 236771, 568, 27325, 573, 11531, 528, 3399, 15154, 236768, 107, 236772, 5213, 201521, 27242, 53121, 236743, 236819, 236771, 236786, 236770, 236771, 236771, 568, 60881, 11961, 27414, 10154, 236768, 107, 236772, 5213, 71398, 30076, 53121, 14533, 568, 122926, 86101, 4652, 8781, 236768, 108, 1018, 24355, 53121, 138, 107, 1579, 11925, 29350, 3188, 27414, 532, 8646, 3736, 236764, 837, 100146, 1388, 607, 30426, 6828, 13138, 236761, 3153, 236764, 910, 2777, 10598, 19898, 568, 236744, 236761, 236759, 1126, 3399, 15154, 236764, 6138, 10154, 236768, 3196, 531, 577, 496, 37385, 2433, 236761, 1637, 3399, 4100, 563, 496, 13546, 573, 822, 33443, 236789, 236751, 2979, 236764, 611, 2473, 1966, 24048, 910, 2777, 19898, 5467, 607, 506, 2544, 531, 3050, 910, 6614, 573, 11531, 236761, 108, 38786, 611, 1133, 1601, 59536, 3530, 19455, 653, 66582, 4137, 573, 910, 2434, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 13726, 5431, 2203, 532, 1202, 531, 16807, 7395, 5082, 529, 28597, 236772, 18865, 31793, 5417, 236761, 28344, 611, 1161, 506, 11385, 236779, 982, 5285, 9299, 531, 33205, 5646, 1262, 532, 8646, 4100, 19455, 573, 47259, 236772, 5140, 31793, 12046, 236881, 564, 236789, 859, 1202, 672, 1938, 45047, 573, 496, 193257, 22902, 26754, 3209, 672, 2069, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 3530, 61925, 528, 506, 11385, 236779, 982, 5285, 9299, 600, 1093, 2174, 155979, 5646, 1262, 653, 8646, 4100, 19455, 573, 47259, 236772, 5140, 31793, 12046, 236761, 669, 1186, 2487, 5904, 6791, 8147, 1373, 1186, 4728, 9299, 28436, 532, 3914, 33205, 7395, 236772, 15396, 1938, 236761, 108, 2021, 7162, 236764, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 6890, 506, 2165, 8147, 236929, 31466, 531, 3540, 2487, 9299, 5405, 107, 236778, 236761, 49644, 768, 993, 659, 3530, 61925, 573, 7395, 5646, 236786, 125595, 4100, 1262, 107, 236800, 236761, 1637, 1288, 61925, 2849, 236764, 2847, 910, 23003, 834, 564, 740, 6518, 6780, 27490, 108, 38786, 611, 1133, 786, 531, 1171, 33205, 506, 9299, 28436, 1343, 506, 2033, 31466, 531, 2426, 2487, 5405, 236881, 106, 107, 105, 2364, 107, 11947, 1523, 236761, 3792, 236789, 236751, 1502, 684, 1699, 506, 2165, 8147, 236929, 31466, 531, 3540, 1144, 5405, 659, 2487, 528, 506, 11385, 236779, 982, 5285, 9299, 236761, 91820, 506, 9299, 28436, 531, 2426, 768, 993, 659, 3530, 61925, 4596, 531, 7395, 5646, 1262, 653, 8646, 4100, 19455, 236761, 9920, 692, 735, 600, 75716, 236764, 692, 740, 3328, 506, 1447, 61925, 573, 47259, 236772, 5140, 31793, 4889, 236761, 3792, 236789, 236751, 1460, 1144, 506, 9299, 3904, 21577, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3677, 236779, 21052, 1083, 3714, 4406, 1083, 623, 236778, 236761, 236770, 236761, 236771, 827, 623, 7777, 1083, 623, 71835, 8196, 13826, 9299, 573, 2561, 5646, 532, 8646, 4100, 1262, 827, 623, 52078, 236779, 2451, 1083, 623, 2574, 1411, 23088, 236772, 982, 5285, 236761, 2187, 236786, 16546, 236786, 236766, 236778, 236761, 236770, 23179, 623, 18700, 236779, 200232, 1083, 3714, 26890, 236772, 89653, 1083, 3714, 34398, 1083, 11058, 9850, 827, 623, 9185, 14255, 623, 7777, 1083, 623, 11942, 7395, 5646, 1262, 21217, 532, 22051, 84937, 23179, 623, 125595, 236772, 62580, 1083, 3714, 34398, 1083, 11058, 9850, 14255, 623, 7777, 1083, 623, 163501, 1972, 8881, 10834, 19455, 532, 28597, 236772, 18197, 1262, 23179, 623, 10236, 236772, 102229, 1083, 3714, 34398, 1083, 11058, 9185, 14255, 623, 7777, 1083, 623, 6845, 7395, 12969, 573, 5074, 236772, 10236, 3797, 236775, 5237, 623, 26514, 236779, 96654, 1083, 3714, 63703, 1083, 623, 10252, 2307, 3149, 528, 12093, 568, 236917, 236772, 10252, 236772, 3503, 22730, 623, 3278, 236779, 5939, 1083, 623, 10896, 965, 52230, 236881, 2882, 236770, 236784, 2394, 236770, 236880, 2882, 236778, 236784, 2394, 236778, 573, 20088, 10512, 827, 623, 1516, 236779, 5939, 1083, 623, 3243, 13630, 994, 47892, 10434, 236772, 19749, 6518, 127096, 106, 107, 105, 4368, 107, 818, 11385, 236779, 982, 5285, 9299, 4728, 7121, 506, 61925, 692, 1202, 236888, 5715, 236789, 236751, 1144, 692, 1765, 236787, 108, 236770, 236761, 5213, 71835, 16661, 107890, 1018, 138, 107, 139, 236772, 86072, 26890, 236772, 89653, 236929, 568, 9850, 236786, 9185, 1473, 91820, 5646, 1262, 21217, 532, 22051, 84937, 138, 107, 139, 236772, 5213, 10896, 672, 573, 66515, 4273, 6263, 2109, 24074, 236764, 36260, 20183, 236764, 532, 6338, 12804, 15700, 138, 108, 236778, 236761, 5213, 73659, 27938, 107890, 1018, 138, 107, 139, 236772, 86072, 125595, 236772, 62580, 236929, 568, 9850, 1473, 13863, 1972, 8881, 31962, 568, 11234, 2205, 236768, 532, 28597, 236772, 18197, 19455, 138, 107, 139, 236772, 5213, 10896, 672, 573, 66515, 29515, 38649, 1262, 236764, 61588, 2109, 14900, 236764, 532, 155393, 6224, 138, 108, 236800, 236761, 5213, 38783, 31026, 1018, 138, 107, 139, 236772, 2343, 10512, 1202, 614, 9299, 2307, 528, 18907, 236787, 2165, 236917, 236772, 10252, 236772, 3503, 236787, 655, 17993, 236772, 2478, 67234, 138, 108, 9272, 6555, 236787, 138, 107, 236772, 28344, 611, 2847, 506, 5213, 15396, 47259, 236772, 5140, 10615, 5618, 1018, 568, 236744, 236761, 236759, 1126, 623, 129656, 35991, 827, 623, 13478, 129656, 1373, 236881, 138, 107, 236772, 19148, 506, 5213, 10252, 2307, 1018, 834, 692, 740, 6518, 74755, 10512, 236881, 138, 108, 3497, 1239, 4889, 236764, 564, 740, 8729, 5508, 236772, 1071, 236772, 1930, 9299, 9139, 573, 822, 193257, 26754, 236761, 1637, 611, 1202, 1601, 21558, 4453, 7395, 5618, 236764, 564, 740, 8214, 611, 1343, 506, 13049, 2311, 236888, 106, 107, 105, 2364, 107, 8291, 659, 506, 3530, 47259, 22067, 692, 236789, 500, 30923, 236787, 5213, 129656, 35991, 125546, 5213, 13478, 129656, 125546, 532, 5213, 46409, 59578, 129656, 84750, 1701, 31324, 236764, 1161, 506, 9299, 2307, 2165, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 236929, 568, 236777, 236858, 560, 10778, 672, 4146, 607, 1023, 24488, 2434, 769, 3792, 236858, 236751, 3904, 1156, 5904, 9139, 236787, 236743, 236770, 236761, 5315, 236764, 12270, 5646, 1262, 573, 784, 1806, 12046, 4323, 86072, 26890, 236772, 89653, 236929, 236743, 236778, 236761, 4298, 236764, 33205, 8646, 4100, 19455, 699, 86072, 125595, 236772, 62580, 236929, 573, 506, 1638, 5417, 22282, 77372, 3072, 53892, 600, 20756, 1378, 6263, 2109, 24074, 532, 6800, 38649, 2979, 1271, 1724, 659, 6749, 573, 506, 193257, 13049, 236761, 1637, 506, 9299, 7623, 20173, 10615, 62606, 236764, 692, 236858, 859, 6253, 506, 5618, 175290, 236761, 106, 107, 105, 4368, 107, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 26890, 236772, 89653, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 129656, 35991, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 26890, 236772, 89653, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 13478, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 26890, 236772, 89653, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 46409, 59578, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 125595, 236772, 62580, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 129656, 35991, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 125595, 236772, 62580, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 13478, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 125595, 236772, 62580, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 46409, 59578, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 13726, 5431, 2203, 532, 1202, 531, 16807, 7395, 5082, 529, 28597, 236772, 18865, 31793, 5417, 236761, 28344, 611, 1161, 506, 11385, 236779, 982, 5285, 9299, 531, 33205, 5646, 1262, 532, 8646, 4100, 19455, 573, 47259, 236772, 5140, 31793, 12046, 236881, 564, 236789, 859, 1202, 672, 1938, 45047, 573, 496, 193257, 22902, 26754, 3209, 672, 2069, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 3530, 61925, 528, 506, 11385, 236779, 982, 5285, 9299, 600, 1093, 2174, 155979, 5646, 1262, 653, 8646, 4100, 19455, 573, 47259, 236772, 5140, 31793, 12046, 236761, 669, 1186, 2487, 5904, 6791, 8147, 1373, 1186, 4728, 9299, 28436, 532, 3914, 33205, 7395, 236772, 15396, 1938, 236761, 108, 2021, 7162, 236764, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 6890, 506, 2165, 8147, 236929, 31466, 531, 3540, 2487, 9299, 5405, 107, 236778, 236761, 49644, 768, 993, 659, 3530, 61925, 573, 7395, 5646, 236786, 125595, 4100, 1262, 107, 236800, 236761, 1637, 1288, 61925, 2849, 236764, 2847, 910, 23003, 834, 564, 740, 6518, 6780, 27490, 108, 38786, 611, 1133, 786, 531, 1171, 33205, 506, 9299, 28436, 1343, 506, 2033, 31466, 531, 2426, 2487, 5405, 236881, 106, 107, 105, 2364, 107, 11947, 1523, 236761, 3792, 236789, 236751, 1502, 684, 1699, 506, 2165, 8147, 236929, 31466, 531, 3540, 1144, 5405, 659, 2487, 528, 506, 11385, 236779, 982, 5285, 9299, 236761, 91820, 506, 9299, 28436, 531, 2426, 768, 993, 659, 3530, 61925, 4596, 531, 7395, 5646, 1262, 653, 8646, 4100, 19455, 236761, 9920, 692, 735, 600, 75716, 236764, 692, 740, 3328, 506, 1447, 61925, 573, 47259, 236772, 5140, 31793, 4889, 236761, 3792, 236789, 236751, 1460, 1144, 506, 9299, 3904, 21577, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3677, 236779, 21052, 1083, 3714, 4406, 1083, 623, 236778, 236761, 236770, 236761, 236771, 827, 623, 7777, 1083, 623, 71835, 8196, 13826, 9299, 573, 2561, 5646, 532, 8646, 4100, 1262, 827, 623, 52078, 236779, 2451, 1083, 623, 2574, 1411, 23088, 236772, 982, 5285, 236761, 2187, 236786, 16546, 236786, 236766, 236778, 236761, 236770, 23179, 623, 18700, 236779, 200232, 1083, 3714, 26890, 236772, 89653, 1083, 3714, 34398, 1083, 11058, 9850, 827, 623, 9185, 14255, 623, 7777, 1083, 623, 11942, 7395, 5646, 1262, 21217, 532, 22051, 84937, 23179, 623, 125595, 236772, 62580, 1083, 3714, 34398, 1083, 11058, 9850, 14255, 623, 7777, 1083, 623, 163501, 1972, 8881, 10834, 19455, 532, 28597, 236772, 18197, 1262, 23179, 623, 10236, 236772, 102229, 1083, 3714, 34398, 1083, 11058, 9185, 14255, 623, 7777, 1083, 623, 6845, 7395, 12969, 573, 5074, 236772, 10236, 3797, 236775, 5237, 623, 26514, 236779, 96654, 1083, 3714, 63703, 1083, 623, 10252, 2307, 3149, 528, 12093, 568, 236917, 236772, 10252, 236772, 3503, 22730, 623, 3278, 236779, 5939, 1083, 623, 10896, 965, 52230, 236881, 2882, 236770, 236784, 2394, 236770, 236880, 2882, 236778, 236784, 2394, 236778, 573, 20088, 10512, 827, 623, 1516, 236779, 5939, 1083, 623, 3243, 13630, 994, 47892, 10434, 236772, 19749, 6518, 127096, 106, 107, 105, 4368, 107, 818, 11385, 236779, 982, 5285, 9299, 4728, 7121, 506, 61925, 692, 1202, 236888, 5715, 236789, 236751, 1144, 692, 1765, 236787, 108, 236770, 236761, 5213, 71835, 16661, 107890, 1018, 138, 107, 139, 236772, 86072, 26890, 236772, 89653, 236929, 568, 9850, 236786, 9185, 1473, 91820, 5646, 1262, 21217, 532, 22051, 84937, 138, 107, 139, 236772, 5213, 10896, 672, 573, 66515, 4273, 6263, 2109, 24074, 236764, 36260, 20183, 236764, 532, 6338, 12804, 15700, 138, 108, 236778, 236761, 5213, 73659, 27938, 107890, 1018, 138, 107, 139, 236772, 86072, 125595, 236772, 62580, 236929, 568, 9850, 1473, 13863, 1972, 8881, 31962, 568, 11234, 2205, 236768, 532, 28597, 236772, 18197, 19455, 138, 107, 139, 236772, 5213, 10896, 672, 573, 66515, 29515, 38649, 1262, 236764, 61588, 2109, 14900, 236764, 532, 155393, 6224, 138, 108, 236800, 236761, 5213, 38783, 31026, 1018, 138, 107, 139, 236772, 2343, 10512, 1202, 614, 9299, 2307, 528, 18907, 236787, 2165, 236917, 236772, 10252, 236772, 3503, 236787, 655, 17993, 236772, 2478, 67234, 138, 108, 9272, 6555, 236787, 138, 107, 236772, 28344, 611, 2847, 506, 5213, 15396, 47259, 236772, 5140, 10615, 5618, 1018, 568, 236744, 236761, 236759, 1126, 623, 129656, 35991, 827, 623, 13478, 129656, 1373, 236881, 138, 107, 236772, 19148, 506, 5213, 10252, 2307, 1018, 834, 692, 740, 6518, 74755, 10512, 236881, 138, 108, 3497, 1239, 4889, 236764, 564, 740, 8729, 5508, 236772, 1071, 236772, 1930, 9299, 9139, 573, 822, 193257, 26754, 236761, 1637, 611, 1202, 1601, 21558, 4453, 7395, 5618, 236764, 564, 740, 8214, 611, 1343, 506, 13049, 2311, 236888, 106, 107, 105, 2364, 107, 8291, 659, 506, 3530, 47259, 22067, 692, 236789, 500, 30923, 236787, 5213, 129656, 35991, 125546, 5213, 13478, 129656, 125546, 532, 5213, 46409, 59578, 129656, 84750, 1701, 31324, 236764, 1161, 506, 9299, 2307, 2165, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 236929, 568, 236777, 236858, 560, 10778, 672, 4146, 607, 1023, 24488, 2434, 769, 3792, 236858, 236751, 3904, 1156, 5904, 9139, 236787, 236743, 236770, 236761, 5315, 236764, 12270, 5646, 1262, 573, 784, 1806, 12046, 4323, 86072, 26890, 236772, 89653, 236929, 236743, 236778, 236761, 4298, 236764, 33205, 8646, 4100, 19455, 699, 86072, 125595, 236772, 62580, 236929, 573, 506, 1638, 5417, 22282, 77372, 3072, 53892, 600, 20756, 1378, 6263, 2109, 24074, 532, 6800, 38649, 2979, 1271, 1724, 659, 6749, 573, 506, 193257, 13049, 236761, 1637, 506, 9299, 7623, 20173, 10615, 62606, 236764, 692, 236858, 859, 6253, 506, 5618, 175290, 236761, 106, 107, 105, 4368, 107, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 26890, 236772, 89653, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 129656, 35991, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 26890, 236772, 89653, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 13478, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 26890, 236772, 89653, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 46409, 59578, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 125595, 236772, 62580, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 129656, 35991, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 125595, 236772, 62580, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 13478, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 108, 236820, 13205, 236779, 6639, 236813, 107, 14937, 1201, 1083, 623, 125595, 236772, 62580, 827, 623, 33178, 1083, 3714, 20714, 1083, 3714, 236917, 236772, 10252, 236772, 3503, 1083, 623, 1618, 2413, 236779, 67516, 236779, 218807, 4927, 236779, 13282, 236779, 236778, 236771, 236778, 236800, 23179, 623, 6160, 1083, 3714, 26890, 1567, 1083, 623, 46409, 59578, 129656, 236775, 19465, 107, 954, 13205, 236779, 6639, 236813, 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, 1586, 1070, 63527, 23642, 600, 659, 1534, 236743, 236800, 236771, 236771, 532, 236743, 236810, 236771, 236771, 29304, 236761, 3551, 6853, 15033, 175027, 786, 531, 577, 43236, 236764, 840, 564, 2036, 1461, 3487, 2780, 531, 16529, 786, 1308, 2844, 528, 506, 7972, 784, 5597, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 236855, 9015, 42949, 165327, 30159, 827, 623, 125645, 1083, 236743, 236812, 236778, 236771, 236764, 623, 7777, 1083, 623, 134277, 12480, 16489, 1024, 51854, 32892, 607, 26012, 4446, 29387, 23179, 3714, 1201, 1083, 623, 236953, 226522, 646, 46410, 75749, 38355, 827, 623, 125645, 1083, 236743, 236800, 236828, 236771, 236764, 623, 7777, 1083, 623, 26834, 236772, 82953, 91777, 51831, 607, 40778, 532, 81340, 15003, 23179, 3714, 1201, 1083, 623, 236799, 14814, 165505, 20601, 77059, 827, 623, 125645, 1083, 236743, 236812, 236832, 236810, 236764, 623, 7777, 1083, 623, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 63527, 236772, 18865, 23642, 600, 4691, 822, 236743, 236800, 236771, 236771, 236772, 236810, 236771, 236771, 63404, 2644, 236787, 108, 236770, 236761, 5213, 236855, 9015, 42949, 165327, 30159, 1018, 568, 236812, 236778, 236771, 29304, 236768, 138, 107, 139, 134277, 12480, 16489, 1024, 51854, 32892, 607, 26012, 4446, 29387, 1271, 4011, 573, 496, 6762, 236772, 51958, 13294, 236761, 108, 236778, 236761, 5213, 236953, 226522, 646, 46410, 75749, 38355, 1018, 568, 236800, 236828, 236771, 29304, 236768, 138, 107, 139, 26834, 236772, 82953, 91777, 51831, 607, 40778, 532, 81340, 15003, 1271, 2214, 3819, 22599, 236761, 108, 236800, 236761, 5213, 236799, 14814, 165505, 20601, 77059, 1018, 568, 236812, 236832, 236810, 29304, 236768, 138, 107, 139, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 1271, 496, 83862, 5086, 573, 7972, 981, 14356, 236761, 108, 3243, 23642, 659, 1494, 528, 7644, 48377, 532, 6762, 531, 2514, 611, 2587, 236761, 21284, 611, 1133, 919, 3835, 653, 4889, 1003, 1027, 529, 1239, 236881, 103453, 106, 107, 105, 2364, 107, 12879, 573, 1724, 3835, 236888, 564, 1751, 506, 73552, 165505, 20601, 77059, 5057, 1535, 573, 1308, 496, 5597, 529, 49115, 236761, 28344, 611, 17866, 506, 15028, 11808, 1131, 14361, 573, 786, 236881, 3551, 6853, 15975, 531, 1601, 3944, 6494, 236764, 532, 1304, 62197, 6013, 23642, 528, 1116, 11363, 5192, 236761, 5393, 1461, 531, 1386, 2889, 506, 13959, 563, 11459, 573, 3755, 1133, 756, 5615, 683, 15003, 236789, 653, 756, 1184, 11372, 588, 6748, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 235555, 1303, 527, 569, 510, 22664, 496, 759, 206565, 5553, 11785, 3154, 38800, 696, 57266, 2423, 14018, 597, 1438, 591, 674, 574, 19708, 827, 623, 6265, 236779, 19859, 1083, 623, 501, 827, 623, 5654, 236779, 19859, 1083, 623, 507, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28700, 15028, 14787, 573, 506, 73552, 165505, 20601, 77059, 236787, 108, 1018, 236775, 235555, 1303, 527, 569, 510, 22664, 496, 759, 206565, 5553, 11785, 3154, 38800, 696, 57266, 2423, 14018, 597, 1438, 591, 674, 574, 19708, 236775, 1018, 108, 2094, 55544, 531, 236787, 107, 236775, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 236775, 108, 818, 13959, 5132, 11459, 3755, 573, 236787, 107, 236772, 4504, 15320, 41559, 16130, 808, 63421, 2423, 14018, 597, 1438, 236829, 107, 236772, 236152, 16130, 808, 105467, 19708, 236829, 108, 38786, 611, 1133, 786, 531, 17866, 506, 2587, 15028, 4889, 653, 1027, 1032, 4688, 529, 506, 11808, 236881, 103453, 106, 107, 105, 2364, 107, 68755, 236764, 1492, 600, 564, 1751, 1003, 625, 236764, 1451, 611, 17866, 506, 2587, 15028, 11808, 2440, 506, 13153, 1694, 236881, 669, 3303, 15028, 4516, 815, 3530, 10802, 532, 6555, 600, 1202, 2005, 13959, 1271, 2432, 1133, 756, 236770, 24151, 3866, 40565, 236789, 653, 756, 5615, 683, 4446, 236789, 2473, 711, 577, 24267, 236761, 3551, 6853, 6757, 39742, 1056, 14049, 3755, 10050, 236789, 236745, 18997, 528, 14361, 236761, 106, 107, 105, 4368, 107, 236777, 3050, 6269, 236888, 3153, 236764, 564, 6303, 600, 506, 3303, 15028, 4889, 699, 1041, 3527, 3072, 1186, 5012, 506, 6079, 6492, 6791, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 1373, 2180, 3530, 13153, 653, 10802, 236761, 669, 5904, 564, 1456, 6517, 14083, 7212, 236779, 125645, 17616, 4038, 236858, 236745, 2847, 2587, 15028, 4889, 1133, 31831, 15852, 653, 2918, 236772, 2003, 236772, 9340, 11808, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 43550, 496, 5213, 135615, 63527, 15028, 1018, 607, 13153, 532, 6555, 568, 236744, 236761, 236759, 1126, 623, 236770, 25064, 3866, 40565, 2098, 623, 5615, 683, 4446, 3959, 1299, 17866, 625, 1131, 14361, 236881, 107, 236778, 236761, 55341, 1186, 506, 6330, 6492, 1570, 236764, 653, 3213, 580, 3530, 14049, 3755, 1133, 623, 5615, 683, 15003, 236775, 14083, 2896, 21800, 569, 503, 1875, 12137, 17616, 653, 623, 1184, 11372, 588, 236775, 14083, 105467, 19708, 17616, 236881, 108, 6481, 786, 1281, 1217, 564, 740, 1601, 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 ]
[ 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, 1586, 1070, 63527, 23642, 600, 659, 1534, 236743, 236800, 236771, 236771, 532, 236743, 236810, 236771, 236771, 29304, 236761, 3551, 6853, 15033, 175027, 786, 531, 577, 43236, 236764, 840, 564, 2036, 1461, 3487, 2780, 531, 16529, 786, 1308, 2844, 528, 506, 7972, 784, 5597, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 236855, 9015, 42949, 165327, 30159, 827, 623, 125645, 1083, 236743, 236812, 236778, 236771, 236764, 623, 7777, 1083, 623, 134277, 12480, 16489, 1024, 51854, 32892, 607, 26012, 4446, 29387, 23179, 3714, 1201, 1083, 623, 236953, 226522, 646, 46410, 75749, 38355, 827, 623, 125645, 1083, 236743, 236800, 236828, 236771, 236764, 623, 7777, 1083, 623, 26834, 236772, 82953, 91777, 51831, 607, 40778, 532, 81340, 15003, 23179, 3714, 1201, 1083, 623, 236799, 14814, 165505, 20601, 77059, 827, 623, 125645, 1083, 236743, 236812, 236832, 236810, 236764, 623, 7777, 1083, 623, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 63527, 236772, 18865, 23642, 600, 4691, 822, 236743, 236800, 236771, 236771, 236772, 236810, 236771, 236771, 63404, 2644, 236787, 108, 236770, 236761, 5213, 236855, 9015, 42949, 165327, 30159, 1018, 568, 236812, 236778, 236771, 29304, 236768, 138, 107, 139, 134277, 12480, 16489, 1024, 51854, 32892, 607, 26012, 4446, 29387, 1271, 4011, 573, 496, 6762, 236772, 51958, 13294, 236761, 108, 236778, 236761, 5213, 236953, 226522, 646, 46410, 75749, 38355, 1018, 568, 236800, 236828, 236771, 29304, 236768, 138, 107, 139, 26834, 236772, 82953, 91777, 51831, 607, 40778, 532, 81340, 15003, 1271, 2214, 3819, 22599, 236761, 108, 236800, 236761, 5213, 236799, 14814, 165505, 20601, 77059, 1018, 568, 236812, 236832, 236810, 29304, 236768, 138, 107, 139, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 1271, 496, 83862, 5086, 573, 7972, 981, 14356, 236761, 108, 3243, 23642, 659, 1494, 528, 7644, 48377, 532, 6762, 531, 2514, 611, 2587, 236761, 21284, 611, 1133, 919, 3835, 653, 4889, 1003, 1027, 529, 1239, 236881, 103453, 106, 107, 105, 2364, 107, 12879, 573, 1724, 3835, 236888, 564, 1751, 506, 73552, 165505, 20601, 77059, 5057, 1535, 573, 1308, 496, 5597, 529, 49115, 236761, 28344, 611, 17866, 506, 15028, 11808, 1131, 14361, 573, 786, 236881, 3551, 6853, 15975, 531, 1601, 3944, 6494, 236764, 532, 1304, 62197, 6013, 23642, 528, 1116, 11363, 5192, 236761, 5393, 1461, 531, 1386, 2889, 506, 13959, 563, 11459, 573, 3755, 1133, 756, 5615, 683, 15003, 236789, 653, 756, 1184, 11372, 588, 6748, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 235555, 1303, 527, 569, 510, 22664, 496, 759, 206565, 5553, 11785, 3154, 38800, 696, 57266, 2423, 14018, 597, 1438, 591, 674, 574, 19708, 827, 623, 6265, 236779, 19859, 1083, 623, 501, 827, 623, 5654, 236779, 19859, 1083, 623, 507, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28700, 15028, 14787, 573, 506, 73552, 165505, 20601, 77059, 236787, 108, 1018, 236775, 235555, 1303, 527, 569, 510, 22664, 496, 759, 206565, 5553, 11785, 3154, 38800, 696, 57266, 2423, 14018, 597, 1438, 591, 674, 574, 19708, 236775, 1018, 108, 2094, 55544, 531, 236787, 107, 236775, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 236775, 108, 818, 13959, 5132, 11459, 3755, 573, 236787, 107, 236772, 4504, 15320, 41559, 16130, 808, 63421, 2423, 14018, 597, 1438, 236829, 107, 236772, 236152, 16130, 808, 105467, 19708, 236829, 108, 38786, 611, 1133, 786, 531, 17866, 506, 2587, 15028, 4889, 653, 1027, 1032, 4688, 529, 506, 11808, 236881, 103453, 106, 107, 105, 2364, 107, 68755, 236764, 1492, 600, 564, 1751, 1003, 625, 236764, 1451, 611, 17866, 506, 2587, 15028, 11808, 2440, 506, 13153, 1694, 236881, 669, 3303, 15028, 4516, 815, 3530, 10802, 532, 6555, 600, 1202, 2005, 13959, 1271, 2432, 1133, 756, 236770, 24151, 3866, 40565, 236789, 653, 756, 5615, 683, 4446, 236789, 2473, 711, 577, 24267, 236761, 3551, 6853, 6757, 39742, 1056, 14049, 3755, 10050, 236789, 236745, 18997, 528, 14361, 236761, 106, 107, 105, 4368, 107, 236777, 3050, 6269, 236888, 3153, 236764, 564, 6303, 600, 506, 3303, 15028, 4889, 699, 1041, 3527, 3072, 1186, 5012, 506, 6079, 6492, 6791, 134277, 40565, 209121, 25383, 528, 59010, 41559, 607, 59996, 1373, 2180, 3530, 13153, 653, 10802, 236761, 669, 5904, 564, 1456, 6517, 14083, 7212, 236779, 125645, 17616, 4038, 236858, 236745, 2847, 2587, 15028, 4889, 1133, 31831, 15852, 653, 2918, 236772, 2003, 236772, 9340, 11808, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 43550, 496, 5213, 135615, 63527, 15028, 1018, 607, 13153, 532, 6555, 568, 236744, 236761, 236759, 1126, 623, 236770, 25064, 3866, 40565, 2098, 623, 5615, 683, 4446, 3959, 1299, 17866, 625, 1131, 14361, 236881, 107, 236778, 236761, 55341, 1186, 506, 6330, 6492, 1570, 236764, 653, 3213, 580, 3530, 14049, 3755, 1133, 623, 5615, 683, 15003, 236775, 14083, 2896, 21800, 569, 503, 1875, 12137, 17616, 653, 623, 1184, 11372, 588, 236775, 14083, 105467, 19708, 17616, 236881, 108, 6481, 786, 1281, 1217, 564, 740, 1601, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 1494, 236772, 15276, 27893, 22648, 573, 1041, 16038, 751, 3436, 48400, 40681, 236761, 3199, 611, 1161, 506, 2165, 828, 17870, 236929, 1292, 531, 3927, 573, 27893, 22648, 607, 496, 35918, 14470, 2787, 236743, 236828, 236786, 236770, 236771, 532, 3385, 1534, 609, 236770, 236771, 236771, 23278, 236770, 236810, 236771, 236881, 36702, 1091, 684, 5602, 14470, 532, 994, 506, 1903, 236743, 236810, 2536, 236761, 564, 236789, 859, 1202, 9813, 55455, 531, 10769, 1091, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 61026, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 235273, 42100, 1255, 123929, 640, 19378, 827, 623, 9707, 1083, 236743, 236770, 236800, 236810, 236761, 236819, 236819, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236819, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 236823, 663, 236772, 23834, 827, 623, 6078, 1083, 623, 236778, 236761, 236770, 56301, 827, 623, 2412, 1083, 623, 236847, 748, 1043, 24966, 582, 4124, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 827, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236810, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236828, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 43106, 533, 43873, 827, 623, 6078, 1083, 623, 236770, 236761, 236819, 56301, 827, 623, 2412, 1083, 623, 168339, 62026, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236770, 236770, 236778, 827, 623, 1201, 1083, 623, 85901, 191427, 3848, 93339, 14537, 827, 623, 9707, 1083, 236743, 236770, 236812, 236810, 236761, 236771, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236770, 236771, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 236823, 663, 236772, 23834, 192842, 827, 623, 6078, 1083, 623, 236778, 236761, 236800, 56301, 827, 623, 2412, 1083, 623, 14319, 26173, 2969, 582, 4124, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236771, 236832, 236828, 827, 623, 1201, 1083, 623, 50613, 21048, 123929, 640, 19378, 827, 623, 9707, 1083, 236743, 236770, 236770, 236819, 236761, 236819, 236819, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236828, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 39987, 124093, 1255, 827, 623, 6078, 1083, 623, 236770, 236761, 236828, 56301, 827, 623, 2412, 1083, 623, 142161, 3775, 1684, 236772, 129621, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 173501, 32188, 236743, 236800, 236772, 49385, 827, 623, 9707, 1083, 236743, 236770, 236771, 236819, 236761, 236819, 236810, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236819, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 236796, 5730, 32681, 827, 623, 6078, 1083, 623, 236778, 236761, 236771, 56301, 827, 623, 2412, 1083, 623, 236796, 2710, 236823, 4124, 56635, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 721, 236779, 4000, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 27893, 22648, 16590, 822, 13138, 236787, 108, 236770, 236761, 5213, 235273, 42100, 1255, 123929, 640, 19378, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236828, 1109, 609, 236770, 236800, 236810, 236761, 236819, 236819, 1109, 123929, 236743, 236819, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 59954, 236772, 23834, 236764, 236743, 236778, 236761, 236770, 56301, 236764, 74521, 1043, 24966, 582, 4124, 11097, 138, 108, 236778, 236761, 5213, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 1109, 609, 236770, 236778, 236819, 236761, 236810, 236771, 1109, 123929, 236743, 236828, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 48755, 533, 43873, 236764, 236743, 236770, 236761, 236819, 56301, 236764, 56906, 62026, 11097, 138, 108, 236800, 236761, 5213, 85901, 191427, 3848, 93339, 14537, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236825, 1109, 609, 236770, 236812, 236810, 236761, 236771, 236771, 1109, 123929, 236743, 236770, 236771, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 59954, 236772, 23834, 192842, 236764, 236743, 236778, 236761, 236800, 56301, 236764, 155108, 2969, 582, 4124, 11097, 138, 108, 236812, 236761, 5213, 50613, 21048, 123929, 640, 19378, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236825, 1109, 609, 236770, 236770, 236819, 236761, 236819, 236819, 1109, 123929, 236743, 236828, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 26211, 124093, 1255, 236764, 236743, 236770, 236761, 236828, 56301, 236764, 94942, 1684, 236772, 129621, 11097, 138, 108, 236810, 236761, 5213, 173501, 32188, 236743, 236800, 236772, 49385, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 1109, 609, 236770, 236771, 236819, 236761, 236819, 236810, 1109, 123929, 236743, 236819, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 622, 5730, 32681, 236764, 236743, 236778, 236761, 236771, 56301, 236764, 189051, 236823, 4124, 56635, 11097, 138, 108, 236770, 236778, 2558, 2536, 1765, 568, 99157, 3104, 236743, 236770, 529, 236743, 236800, 769, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 653, 2426, 9813, 10595, 573, 1027, 529, 1239, 4681, 236881, 106, 107, 105, 2364, 107, 236777, 1202, 9813, 10595, 573, 506, 1903, 236743, 236800, 4681, 568, 235273, 42100, 1255, 236764, 23855, 25261, 1684, 236810, 236764, 43633, 191427, 3848, 93339, 14537, 236768, 531, 10769, 5931, 573, 5074, 236772, 1496, 71634, 236761, 28344, 611, 1161, 2165, 828, 5930, 60209, 115294, 236929, 573, 1546, 529, 1239, 236881, 6542, 236764, 2426, 768, 1027, 10595, 10916, 4928, 3736, 580, 75946, 22249, 653, 1440, 236772, 17178, 204464, 1133, 6056, 236789, 236751, 751, 3436, 48400, 236761, 564, 1461, 531, 5330, 901, 236858, 859, 6060, 236743, 236828, 236772, 236770, 236771, 6468, 2668, 607, 496, 3294, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 3530, 10739, 170665, 573, 1239, 3211, 531, 33205, 910, 10595, 236761, 669, 1698, 5618, 7057, 2810, 236789, 236745, 981, 573, 506, 2165, 828, 5930, 60209, 115294, 236929, 1292, 236761, 28344, 611, 2847, 506, 4453, 170665, 573, 236787, 107, 236770, 236761, 36459, 42100, 1255, 123929, 640, 19378, 107, 236778, 236761, 23855, 25261, 1684, 236810, 2343, 236772, 138388, 107, 236800, 236761, 43633, 191427, 3848, 93339, 14537, 108, 3524, 1093, 611, 1133, 786, 531, 3927, 573, 3361, 3211, 1699, 506, 2165, 828, 17870, 236929, 1292, 1570, 607, 20843, 6137, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 3927, 573, 506, 4453, 170665, 1699, 1698, 5618, 236761, 3792, 786, 1845, 2264, 2165, 828, 17870, 236929, 7609, 607, 18997, 18774, 531, 33205, 910, 10739, 170665, 236787, 2165, 828, 17870, 236929, 6137, 236787, 753, 30822, 236787, 623, 235273, 42100, 1255, 123929, 640, 19378, 8005, 23855, 25261, 1684, 236810, 2343, 236772, 138388, 8005, 43633, 191427, 3848, 93339, 14537, 236775, 753, 42286, 531, 994, 236787, 623, 30948, 236764, 1463, 236764, 35918, 236779, 13126, 236775, 753, 46203, 236787, 236743, 236800, 1174, 1374, 2583, 775, 506, 4453, 170665, 4354, 573, 3540, 51139, 236761, 9920, 564, 735, 1724, 236764, 564, 236789, 859, 12270, 506, 9813, 10595, 573, 822, 751, 3436, 48400, 12652, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 30948, 1083, 623, 2330, 2908, 22425, 236772, 1045, 236772, 7632, 11958, 236772, 236754, 19378, 827, 623, 1201, 1083, 623, 235273, 42100, 1255, 123929, 640, 19378, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236825, 23179, 3714, 30948, 1083, 623, 144938, 13114, 236772, 236781, 236810, 236772, 712, 236772, 87935, 827, 623, 1201, 1083, 623, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236828, 23179, 3714, 30948, 1083, 623, 46858, 165997, 3848, 236772, 7037, 236781, 236772, 6848, 827, 623, 1201, 1083, 623, 85901, 191427, 3848, 93339, 14537, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236832, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 721, 236779, 4000, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30948, 1083, 623, 2330, 2908, 22425, 236772, 1045, 236772, 7632, 11958, 236772, 236754, 19378, 827, 623, 1201, 1083, 623, 235273, 42100, 1255, 123929, 640, 19378, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236828, 827, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 13238, 236772, 32677, 27893, 22648, 607, 9691, 143670, 4181, 573, 13610, 7606, 3439, 10498, 623, 46589, 1083, 236743, 236812, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 827, 623, 7777, 1083, 623, 236796, 28520, 27893, 22648, 5402, 573, 13610, 7606, 3439, 607, 43389, 23670, 6733, 532, 34066, 29690, 106350, 10498, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236825, 827, 623, 16518, 1083, 11058, 236823, 663, 236772, 23834, 35918, 14181, 827, 623, 104024, 236772, 216056, 103723, 229783, 827, 623, 65931, 236772, 59722, 74521, 1043, 192892, 827, 623, 203886, 742, 18990, 38330, 14255, 623, 56905, 1083, 623, 902, 2862, 827, 623, 30948, 1083, 623, 144938, 13114, 236772, 236781, 236810, 236772, 712, 236772, 87935, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 30948, 1083, 623, 46858, 165997, 3848, 236772, 7037, 236781, 236772, 6848, 827, 623, 1201, 1083, 623, 85901, 191427, 3848, 93339, 14537, 123929, 134937, 85291, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236825, 827, 623, 6078, 236779, 79707, 1083, 236743, 236810, 236828, 236771, 236764, 623, 80234, 1083, 11058, 236823, 663, 236772, 23834, 827, 623, 232337, 2472, 54689, 827, 623, 236847, 748, 1043, 62795, 14255, 623, 9707, 1083, 3714, 13304, 1083, 236743, 236770, 236828, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 7777, 1083, 623, 13238, 236772, 32677, 5453, 236772, 8424, 27893, 22648, 607, 59954, 236772, 23834, 143670, 236764, 5402, 573, 52803, 24974, 532, 6471, 7606, 3439, 10498, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236800, 236810, 236832, 236819, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 1005, 1083, 623, 60881, 143670, 532, 40900, 1894, 573, 5074, 236772, 1496, 204464, 528, 11474, 3439, 221476, 3714, 25612, 236779, 547, 1083, 623, 236794, 236770, 236800, 236810, 236828, 236771, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 90829, 742, 855, 529, 506, 3673, 236764, 3635, 7087, 2541, 236772, 495, 2846, 573, 12567, 4691, 1781, 165075, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 506, 1698, 4889, 236764, 840, 506, 13611, 10595, 611, 1202, 10050, 236789, 236745, 2487, 1343, 506, 1873, 1458, 12434, 236761, 5715, 236789, 236751, 1144, 692, 1281, 1003, 506, 1903, 236743, 236800, 4681, 236787, 108, 1018, 236770, 236761, 36459, 42100, 1255, 123929, 640, 19378, 1018, 138, 107, 236769, 30948, 236787, 2165, 2330, 2908, 22425, 236772, 1045, 236772, 7632, 11958, 236772, 236754, 19378, 18833, 138, 107, 236772, 123929, 236787, 10710, 236917, 236828, 568, 143521, 573, 7274, 6927, 236786, 60309, 236768, 138, 107, 236772, 9533, 4065, 236787, 210636, 23670, 236764, 34066, 29690, 106350, 138, 107, 236772, 2301, 2430, 10595, 2487, 528, 1458, 138, 108, 1018, 236778, 236761, 23855, 25261, 1684, 236810, 2343, 236772, 138388, 1018, 138, 107, 236769, 30948, 236787, 2165, 144938, 13114, 236772, 236781, 236810, 236772, 712, 236772, 87935, 18833, 138, 107, 236772, 123929, 236787, 10710, 236917, 236825, 568, 15466, 573, 11474, 22249, 236768, 138, 107, 236772, 9533, 4065, 236787, 59954, 236772, 23834, 14181, 236764, 74521, 1043, 192892, 138, 107, 236772, 2301, 2430, 10595, 2487, 528, 1458, 138, 108, 1018, 236800, 236761, 43633, 191427, 3848, 93339, 14537, 1018, 138, 107, 236769, 30948, 236787, 2165, 46858, 165997, 3848, 236772, 7037, 236781, 236772, 6848, 18833, 138, 107, 236772, 123929, 236787, 10710, 236917, 236825, 138, 107, 236772, 9533, 4065, 236787, 59954, 236772, 23834, 236764, 140004, 2472, 54689, 236764, 74521, 1043, 62795, 138, 107, 236772, 19159, 10595, 236787, 3656, 42298, 623, 143521, 143670, 573, 5074, 236772, 1496, 204464, 528, 11474, 3439, 236775, 138, 108, 1018, 211199, 53121, 138, 107, 8409, 692, 740, 236789, 236745, 2802, 3530, 10595, 1003, 506, 751, 3436, 48400, 653, 75946, 13234, 3736, 1343, 506, 1873, 6436, 236764, 506, 5213, 235273, 42100, 1255, 1018, 568, 4012, 236917, 236828, 236768, 5469, 506, 7310, 35918, 14470, 3571, 1239, 3835, 236761, 1701, 9813, 2135, 7248, 236764, 564, 236789, 236753, 3600, 236787, 138, 107, 236770, 236761, 81573, 11690, 46318, 1133, 23855, 5780, 653, 7429, 82893, 573, 1759, 236772, 12392, 10595, 138, 107, 236778, 236761, 13948, 522, 506, 17337, 5467, 1003, 751, 3436, 48400, 86338, 138, 107, 236800, 236761, 28356, 573, 22648, 607, 623, 60309, 29690, 236775, 653, 623, 712, 236772, 87935, 236775, 528, 910, 7009, 29141, 138, 108, 38786, 611, 1133, 786, 531, 3927, 573, 9302, 3211, 607, 2480, 3540, 1262, 1699, 506, 2165, 828, 17870, 236929, 1292, 1570, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 1494, 236772, 15276, 27893, 22648, 573, 1041, 16038, 751, 3436, 48400, 40681, 236761, 3199, 611, 1161, 506, 2165, 828, 17870, 236929, 1292, 531, 3927, 573, 27893, 22648, 607, 496, 35918, 14470, 2787, 236743, 236828, 236786, 236770, 236771, 532, 3385, 1534, 609, 236770, 236771, 236771, 23278, 236770, 236810, 236771, 236881, 36702, 1091, 684, 5602, 14470, 532, 994, 506, 1903, 236743, 236810, 2536, 236761, 564, 236789, 859, 1202, 9813, 55455, 531, 10769, 1091, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 61026, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 235273, 42100, 1255, 123929, 640, 19378, 827, 623, 9707, 1083, 236743, 236770, 236800, 236810, 236761, 236819, 236819, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236819, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 236823, 663, 236772, 23834, 827, 623, 6078, 1083, 623, 236778, 236761, 236770, 56301, 827, 623, 2412, 1083, 623, 236847, 748, 1043, 24966, 582, 4124, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 827, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236810, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236828, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 43106, 533, 43873, 827, 623, 6078, 1083, 623, 236770, 236761, 236819, 56301, 827, 623, 2412, 1083, 623, 168339, 62026, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236770, 236770, 236778, 827, 623, 1201, 1083, 623, 85901, 191427, 3848, 93339, 14537, 827, 623, 9707, 1083, 236743, 236770, 236812, 236810, 236761, 236771, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236770, 236771, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 236823, 663, 236772, 23834, 192842, 827, 623, 6078, 1083, 623, 236778, 236761, 236800, 56301, 827, 623, 2412, 1083, 623, 14319, 26173, 2969, 582, 4124, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236771, 236832, 236828, 827, 623, 1201, 1083, 623, 50613, 21048, 123929, 640, 19378, 827, 623, 9707, 1083, 236743, 236770, 236770, 236819, 236761, 236819, 236819, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236828, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 39987, 124093, 1255, 827, 623, 6078, 1083, 623, 236770, 236761, 236828, 56301, 827, 623, 2412, 1083, 623, 142161, 3775, 1684, 236772, 129621, 236775, 5237, 3714, 5930, 236779, 547, 1083, 623, 61026, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 173501, 32188, 236743, 236800, 236772, 49385, 827, 623, 9707, 1083, 236743, 236770, 236771, 236819, 236761, 236819, 236810, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 7632, 11958, 236779, 13126, 1083, 236743, 236819, 236764, 623, 134878, 1083, 3714, 10236, 1083, 623, 236796, 5730, 32681, 827, 623, 6078, 1083, 623, 236778, 236761, 236771, 56301, 827, 623, 2412, 1083, 623, 236796, 2710, 236823, 4124, 56635, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 721, 236779, 4000, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 27893, 22648, 16590, 822, 13138, 236787, 108, 236770, 236761, 5213, 235273, 42100, 1255, 123929, 640, 19378, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236828, 1109, 609, 236770, 236800, 236810, 236761, 236819, 236819, 1109, 123929, 236743, 236819, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 59954, 236772, 23834, 236764, 236743, 236778, 236761, 236770, 56301, 236764, 74521, 1043, 24966, 582, 4124, 11097, 138, 108, 236778, 236761, 5213, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 1109, 609, 236770, 236778, 236819, 236761, 236810, 236771, 1109, 123929, 236743, 236828, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 48755, 533, 43873, 236764, 236743, 236770, 236761, 236819, 56301, 236764, 56906, 62026, 11097, 138, 108, 236800, 236761, 5213, 85901, 191427, 3848, 93339, 14537, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236825, 1109, 609, 236770, 236812, 236810, 236761, 236771, 236771, 1109, 123929, 236743, 236770, 236771, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 59954, 236772, 23834, 192842, 236764, 236743, 236778, 236761, 236800, 56301, 236764, 155108, 2969, 582, 4124, 11097, 138, 108, 236812, 236761, 5213, 50613, 21048, 123929, 640, 19378, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236825, 1109, 609, 236770, 236770, 236819, 236761, 236819, 236819, 1109, 123929, 236743, 236828, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 26211, 124093, 1255, 236764, 236743, 236770, 236761, 236828, 56301, 236764, 94942, 1684, 236772, 129621, 11097, 138, 108, 236810, 236761, 5213, 173501, 32188, 236743, 236800, 236772, 49385, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 1109, 609, 236770, 236771, 236819, 236761, 236819, 236810, 1109, 123929, 236743, 236819, 236786, 236770, 236771, 138, 107, 139, 168432, 236787, 622, 5730, 32681, 236764, 236743, 236778, 236761, 236771, 56301, 236764, 189051, 236823, 4124, 56635, 11097, 138, 108, 236770, 236778, 2558, 2536, 1765, 568, 99157, 3104, 236743, 236770, 529, 236743, 236800, 769, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 653, 2426, 9813, 10595, 573, 1027, 529, 1239, 4681, 236881, 106, 107, 105, 2364, 107, 236777, 1202, 9813, 10595, 573, 506, 1903, 236743, 236800, 4681, 568, 235273, 42100, 1255, 236764, 23855, 25261, 1684, 236810, 236764, 43633, 191427, 3848, 93339, 14537, 236768, 531, 10769, 5931, 573, 5074, 236772, 1496, 71634, 236761, 28344, 611, 1161, 2165, 828, 5930, 60209, 115294, 236929, 573, 1546, 529, 1239, 236881, 6542, 236764, 2426, 768, 1027, 10595, 10916, 4928, 3736, 580, 75946, 22249, 653, 1440, 236772, 17178, 204464, 1133, 6056, 236789, 236751, 751, 3436, 48400, 236761, 564, 1461, 531, 5330, 901, 236858, 859, 6060, 236743, 236828, 236772, 236770, 236771, 6468, 2668, 607, 496, 3294, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 3530, 10739, 170665, 573, 1239, 3211, 531, 33205, 910, 10595, 236761, 669, 1698, 5618, 7057, 2810, 236789, 236745, 981, 573, 506, 2165, 828, 5930, 60209, 115294, 236929, 1292, 236761, 28344, 611, 2847, 506, 4453, 170665, 573, 236787, 107, 236770, 236761, 36459, 42100, 1255, 123929, 640, 19378, 107, 236778, 236761, 23855, 25261, 1684, 236810, 2343, 236772, 138388, 107, 236800, 236761, 43633, 191427, 3848, 93339, 14537, 108, 3524, 1093, 611, 1133, 786, 531, 3927, 573, 3361, 3211, 1699, 506, 2165, 828, 17870, 236929, 1292, 1570, 607, 20843, 6137, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 3927, 573, 506, 4453, 170665, 1699, 1698, 5618, 236761, 3792, 786, 1845, 2264, 2165, 828, 17870, 236929, 7609, 607, 18997, 18774, 531, 33205, 910, 10739, 170665, 236787, 2165, 828, 17870, 236929, 6137, 236787, 753, 30822, 236787, 623, 235273, 42100, 1255, 123929, 640, 19378, 8005, 23855, 25261, 1684, 236810, 2343, 236772, 138388, 8005, 43633, 191427, 3848, 93339, 14537, 236775, 753, 42286, 531, 994, 236787, 623, 30948, 236764, 1463, 236764, 35918, 236779, 13126, 236775, 753, 46203, 236787, 236743, 236800, 1174, 1374, 2583, 775, 506, 4453, 170665, 4354, 573, 3540, 51139, 236761, 9920, 564, 735, 1724, 236764, 564, 236789, 859, 12270, 506, 9813, 10595, 573, 822, 751, 3436, 48400, 12652, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 30948, 1083, 623, 2330, 2908, 22425, 236772, 1045, 236772, 7632, 11958, 236772, 236754, 19378, 827, 623, 1201, 1083, 623, 235273, 42100, 1255, 123929, 640, 19378, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236825, 23179, 3714, 30948, 1083, 623, 144938, 13114, 236772, 236781, 236810, 236772, 712, 236772, 87935, 827, 623, 1201, 1083, 623, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236828, 23179, 3714, 30948, 1083, 623, 46858, 165997, 3848, 236772, 7037, 236781, 236772, 6848, 827, 623, 1201, 1083, 623, 85901, 191427, 3848, 93339, 14537, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236832, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 721, 236779, 4000, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30948, 1083, 623, 2330, 2908, 22425, 236772, 1045, 236772, 7632, 11958, 236772, 236754, 19378, 827, 623, 1201, 1083, 623, 235273, 42100, 1255, 123929, 640, 19378, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236828, 827, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 13238, 236772, 32677, 27893, 22648, 607, 9691, 143670, 4181, 573, 13610, 7606, 3439, 10498, 623, 46589, 1083, 236743, 236812, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 91270, 25261, 1684, 236810, 2343, 236772, 138388, 827, 623, 7777, 1083, 623, 236796, 28520, 27893, 22648, 5402, 573, 13610, 7606, 3439, 607, 43389, 23670, 6733, 532, 34066, 29690, 106350, 10498, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236825, 827, 623, 16518, 1083, 11058, 236823, 663, 236772, 23834, 35918, 14181, 827, 623, 104024, 236772, 216056, 103723, 229783, 827, 623, 65931, 236772, 59722, 74521, 1043, 192892, 827, 623, 203886, 742, 18990, 38330, 14255, 623, 56905, 1083, 623, 902, 2862, 827, 623, 30948, 1083, 623, 144938, 13114, 236772, 236781, 236810, 236772, 712, 236772, 87935, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 30948, 1083, 623, 46858, 165997, 3848, 236772, 7037, 236781, 236772, 6848, 827, 623, 1201, 1083, 623, 85901, 191427, 3848, 93339, 14537, 123929, 134937, 85291, 827, 623, 7632, 11958, 236779, 13126, 1083, 623, 4012, 236917, 236825, 827, 623, 6078, 236779, 79707, 1083, 236743, 236810, 236828, 236771, 236764, 623, 80234, 1083, 11058, 236823, 663, 236772, 23834, 827, 623, 232337, 2472, 54689, 827, 623, 236847, 748, 1043, 62795, 14255, 623, 9707, 1083, 3714, 13304, 1083, 236743, 236770, 236828, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 7777, 1083, 623, 13238, 236772, 32677, 5453, 236772, 8424, 27893, 22648, 607, 59954, 236772, 23834, 143670, 236764, 5402, 573, 52803, 24974, 532, 6471, 7606, 3439, 10498, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236800, 236810, 236832, 236819, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 1005, 1083, 623, 60881, 143670, 532, 40900, 1894, 573, 5074, 236772, 1496, 204464, 528, 11474, 3439, 221476, 3714, 25612, 236779, 547, 1083, 623, 236794, 236770, 236800, 236810, 236828, 236771, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 90829, 742, 855, 529, 506, 3673, 236764, 3635, 7087, 2541, 236772, 495, 2846, 573, 12567, 4691, 1781, 165075, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 506, 1698, 4889, 236764, 840, 506, 13611, 10595, 611, 1202, 10050, 236789, 236745, 2487, 1343, 506, 1873, 1458, 12434, 236761, 5715, 236789, 236751, 1144, 692, 1281, 1003, 506, 1903, 236743, 236800, 4681, 236787, 108, 1018, 236770, 236761, 36459, 42100, 1255, 123929, 640, 19378, 1018, 138, 107, 236769, 30948, 236787, 2165, 2330, 2908, 22425, 236772, 1045, 236772, 7632, 11958, 236772, 236754, 19378, 18833, 138, 107, 236772, 123929, 236787, 10710, 236917, 236828, 568, 143521, 573, 7274, 6927, 236786, 60309, 236768, 138, 107, 236772, 9533, 4065, 236787, 210636, 23670, 236764, 34066, 29690, 106350, 138, 107, 236772, 2301, 2430, 10595, 2487, 528, 1458, 138, 108, 1018, 236778, 236761, 23855, 25261, 1684, 236810, 2343, 236772, 138388, 1018, 138, 107, 236769, 30948, 236787, 2165, 144938, 13114, 236772, 236781, 236810, 236772, 712, 236772, 87935, 18833, 138, 107, 236772, 123929, 236787, 10710, 236917, 236825, 568, 15466, 573, 11474, 22249, 236768, 138, 107, 236772, 9533, 4065, 236787, 59954, 236772, 23834, 14181, 236764, 74521, 1043, 192892, 138, 107, 236772, 2301, 2430, 10595, 2487, 528, 1458, 138, 108, 1018, 236800, 236761, 43633, 191427, 3848, 93339, 14537, 1018, 138, 107, 236769, 30948, 236787, 2165, 46858, 165997, 3848, 236772, 7037, 236781, 236772, 6848, 18833, 138, 107, 236772, 123929, 236787, 10710, 236917, 236825, 138, 107, 236772, 9533, 4065, 236787, 59954, 236772, 23834, 236764, 140004, 2472, 54689, 236764, 74521, 1043, 62795, 138, 107, 236772, 19159, 10595, 236787, 3656, 42298, 623, 143521, 143670, 573, 5074, 236772, 1496, 204464, 528, 11474, 3439, 236775, 138, 108, 1018, 211199, 53121, 138, 107, 8409, 692, 740, 236789, 236745, 2802, 3530, 10595, 1003, 506, 751, 3436, 48400, 653, 75946, 13234, 3736, 1343, 506, 1873, 6436, 236764, 506, 5213, 235273, 42100, 1255, 1018, 568, 4012, 236917, 236828, 236768, 5469, 506, 7310, 35918, 14470, 3571, 1239, 3835, 236761, 1701, 9813, 2135, 7248, 236764, 564, 236789, 236753, 3600, 236787, 138, 107, 236770, 236761, 81573, 11690, 46318, 1133, 23855, 5780, 653, 7429, 82893, 573, 1759, 236772, 12392, 10595, 138, 107, 236778, 236761, 13948, 522, 506, 17337, 5467, 1003, 751, 3436, 48400, 86338, 138, 107, 236800, 236761, 28356, 573, 22648, 607, 623, 60309, 29690, 236775, 653, 623, 712, 236772, 87935, 236775, 528, 910, 7009, 29141, 138, 108, 38786, 611, 1133, 786, 531, 3927, 573, 9302, 3211, 607, 2480, 3540, 1262, 1699, 506, 2165, 828, 17870, 236929, 1292, 1570, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 1131, 496, 35074, 2544, 573, 496, 3435, 11403, 4596, 531, 18241, 3997, 4181, 236761, 564, 1765, 910, 146634, 1548, 563, 236743, 236778, 236832, 236771, 236828, 236771, 236770, 236800, 236770, 236764, 840, 564, 236789, 236757, 711, 2889, 1217, 531, 16807, 910, 28150, 653, 2426, 910, 14143, 4083, 236761, 3199, 611, 1601, 786, 3050, 1144, 672, 2544, 236789, 236751, 1695, 5724, 1133, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 1204, 43380, 171860, 182547, 503, 236761, 236750, 236761, 236748, 10498, 623, 12921, 236779, 845, 1083, 623, 4225, 1777, 236785, 236756, 236771, 236770, 236771, 236753, 11088, 503, 6920, 236785, 236756, 236771, 236770, 236771, 2235, 236785, 236756, 236771, 236771, 179732, 92396, 3779, 236785, 236756, 236771, 236771, 11038, 236757, 827, 623, 50990, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236828, 236772, 236771, 236810, 236772, 236770, 236778, 827, 623, 7720, 1083, 3714, 30419, 1083, 623, 24627, 1195, 936, 236785, 236756, 236771, 236771, 236744, 236770, 236743, 236778, 236828, 236819, 236786, 236770, 236810, 827, 623, 13319, 1083, 623, 70163, 2118, 236743, 236812, 827, 623, 157350, 236779, 3970, 1083, 623, 236770, 236812, 236771, 236771, 236771, 827, 623, 14801, 1083, 623, 193672, 9145, 23179, 623, 92973, 236779, 4818, 1083, 3714, 4730, 1083, 1847, 236764, 623, 5455, 236779, 88180, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 169117, 1083, 2977, 1263, 623, 105385, 236779, 29641, 1083, 78493, 17766, 1083, 623, 22630, 236750, 8934, 236785, 236756, 236771, 236771, 236744, 236770, 236767, 827, 623, 23788, 1083, 623, 236825, 236771, 70887, 623, 2084, 1083, 623, 48569, 23179, 3714, 17766, 1083, 623, 139746, 3692, 2073, 6507, 496, 236761, 236751, 10498, 623, 23788, 1083, 623, 236812, 236771, 70887, 623, 2084, 1083, 623, 96708, 25938, 1604, 623, 78024, 236779, 3970, 1083, 623, 129399, 236772, 236778, 236825, 236761, 236778, 236771, 236772, 236778, 236825, 236761, 236778, 236771, 236953, 827, 623, 23019, 236779, 10470, 1083, 623, 236847, 236785, 236756, 236771, 236771, 11038, 22875, 496, 608, 91369, 3538, 8281, 869, 236785, 236756, 236771, 236771, 11038, 574, 621, 236756, 236771, 236770, 236810, 236819, 236744, 236785, 236756, 236771, 236770, 236825, 236770, 501, 236785, 236756, 236771, 236771, 524, 608, 2212, 617, 20517, 496, 621, 236756, 236771, 236770, 236810, 236819, 236785, 236756, 236771, 236771, 524, 3779, 236785, 236756, 236771, 236771, 524, 904, 236785, 236756, 236771, 236771, 236744, 236770, 45433, 25938, 106, 107, 105, 4368, 107, 818, 35074, 2544, 5213, 1204, 43380, 171860, 182547, 503, 236761, 236750, 236761, 236748, 99382, 568, 34379, 236787, 236743, 236778, 236832, 236771, 236828, 236771, 236770, 236800, 236770, 236768, 7412, 531, 577, 496, 30781, 532, 53003, 1960, 13186, 607, 506, 2269, 2307, 4889, 7798, 531, 822, 11403, 26410, 236787, 108, 10354, 5213, 11900, 833, 159634, 1018, 107, 236772, 5213, 67289, 5959, 66515, 19159, 19096, 2544, 14083, 4225, 66093, 11088, 503, 6920, 30516, 9433, 92396, 3779, 23543, 236829, 779, 12314, 2338, 5213, 236770, 236819, 236819, 236828, 84750, 107, 236772, 5213, 9604, 66515, 5962, 1195, 77086, 236743, 236778, 236828, 236819, 236786, 236770, 236810, 236764, 124995, 236743, 236812, 236764, 236743, 236770, 236812, 236771, 236771, 236771, 236764, 35074, 9145, 236761, 107, 236772, 5213, 73939, 30235, 66515, 10624, 5411, 528, 5213, 50581, 2913, 573, 33972, 532, 18241, 3997, 1018, 568, 78024, 3393, 97354, 236772, 236778, 236825, 236761, 236778, 236771, 236772, 236778, 236825, 236761, 236778, 236771, 236953, 779, 5467, 120022, 607, 822, 11403, 7675, 236761, 108, 10354, 5213, 70408, 833, 32180, 18365, 1018, 107, 236772, 5213, 70408, 18365, 66515, 30638, 532, 872, 236772, 1071, 236772, 1896, 236764, 607, 5213, 1904, 30609, 1018, 9941, 528, 506, 1774, 17611, 568, 527, 529, 5261, 236743, 236778, 236771, 236778, 236812, 769, 107, 236772, 5213, 125443, 23718, 66515, 236743, 107, 138, 236772, 236743, 236825, 236771, 236908, 13129, 684, 5213, 22630, 236750, 8934, 18213, 1018, 568, 52004, 769, 107, 138, 236772, 236743, 236812, 236771, 236908, 684, 5213, 139746, 3692, 2073, 6507, 496, 236761, 236751, 99382, 568, 107556, 13186, 779, 22169, 3435, 23948, 531, 25898, 22351, 14739, 236761, 108, 10354, 5213, 211199, 1018, 107, 818, 2544, 236858, 236751, 1440, 236772, 8389, 15020, 236764, 3980, 14143, 3423, 236764, 532, 3213, 580, 18241, 236786, 1587, 4884, 5368, 1386, 625, 496, 57799, 8324, 236761, 1701, 3342, 2779, 63454, 236764, 611, 1149, 16807, 72433, 3692, 2073, 6507, 496, 236761, 236751, 12227, 236751, 1695, 568, 42974, 236743, 236812, 236771, 236908, 73987, 236768, 531, 5608, 4767, 5405, 653, 13682, 236761, 21284, 611, 1133, 1601, 607, 4767, 6555, 236881, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 2426, 506, 1695, 529, 72433, 3692, 2073, 6507, 496, 236761, 236751, 1126, 506, 11961, 8123, 529, 65279, 7329, 236761, 3574, 611, 735, 910, 146634, 1548, 653, 740, 611, 1586, 625, 1699, 910, 1463, 236881, 1174, 1093, 1601, 5608, 910, 11646, 532, 5405, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 3927, 573, 496, 35074, 2544, 236789, 236751, 146634, 1548, 1699, 1061, 1463, 236761, 3551, 1873, 15858, 1660, 506, 3530, 146634, 1548, 531, 33205, 4889, 236761, 1701, 72433, 3692, 2073, 6507, 496, 236761, 236751, 1126, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 5213, 11823, 910, 146634, 66515, 7179, 5125, 9413, 236764, 77365, 236764, 653, 506, 35074, 7449, 17697, 14083, 1479, 106234, 16549, 236767, 188526, 36796, 237872, 17616, 657, 870, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 5457, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 236768, 573, 1237, 8735, 236761, 107, 236778, 236761, 5213, 81933, 18497, 66515, 64063, 768, 65279, 7329, 236789, 236751, 18497, 3904, 568, 236812, 236771, 236908, 4247, 684, 72433, 3692, 2073, 6507, 496, 236761, 236751, 2907, 563, 31037, 528, 5125, 89707, 236761, 108, 2859, 611, 2847, 910, 146634, 1548, 236764, 564, 740, 18840, 910, 14143, 4083, 236764, 4867, 11646, 236764, 653, 6369, 4981, 236761, 21284, 611, 1133, 14984, 580, 1217, 531, 29888, 910, 146634, 236881, 106, 107, 105, 2364, 107, 236777, 15593, 65279, 7329, 236789, 236751, 5125, 4456, 532, 1765, 496, 3205, 531, 72433, 3692, 2073, 6507, 496, 236761, 236751, 7085, 236751, 8781, 528, 910, 623, 131115, 236775, 3336, 236761, 669, 3205, 5132, 506, 146634, 1548, 5213, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 1018, 573, 72433, 3692, 2073, 6507, 496, 236761, 236751, 236761, 3199, 611, 1492, 33205, 910, 14143, 4083, 532, 4867, 11646, 4889, 1699, 672, 146634, 236881, 1174, 1093, 1601, 786, 4071, 236772, 21318, 910, 5405, 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, 29995, 1083, 3714, 2486, 1083, 623, 18331, 6518, 236761, 69850, 236743, 236828, 236772, 29345, 2483, 607, 5830, 5743, 573, 35074, 146634, 236764, 2506, 11995, 236743, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 993, 236789, 236751, 496, 8330, 26919, 607, 506, 6436, 564, 735, 2802, 531, 236787, 5213, 193672, 146634, 4945, 6250, 607, 5743, 3914, 577, 18761, 15195, 1018, 684, 506, 1873, 1458, 236764, 618, 901, 236789, 500, 27707, 618, 40155, 2979, 568, 7650, 7266, 5830, 36509, 769, 669, 3847, 146634, 2165, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 236929, 563, 4341, 528, 6518, 568, 236828, 26798, 779, 840, 506, 5904, 7087, 625, 618, 614, 11995, 236764, 14260, 506, 5830, 5743, 531, 577, 5745, 532, 9113, 528, 614, 19070, 236743, 236832, 236772, 29345, 1548, 20442, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 59395, 108, 10354, 5213, 9272, 50228, 573, 1599, 1018, 107, 2021, 16807, 5213, 139746, 3692, 2073, 6507, 496, 236761, 236751, 236761, 568, 34379, 236787, 236743, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 62902, 236764, 564, 5840, 236787, 107, 236770, 236761, 5213, 17123, 506, 35074, 7449, 17697, 66515, 26922, 870, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 5457, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 236768, 532, 3927, 573, 506, 2544, 1699, 506, 2587, 236743, 236828, 236772, 29345, 146634, 2165, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 236929, 568, 35203, 506, 5830, 5743, 563, 5012, 769, 107, 236778, 236761, 5213, 71430, 63040, 181141, 66515, 669, 6818, 4728, 872, 236772, 1071, 236772, 1896, 14143, 8735, 236764, 18497, 4889, 236764, 532, 4867, 11646, 25268, 573, 35074, 4699, 236761, 108, 38786, 611, 1133, 14984, 580, 67112, 506, 35074, 7449, 17697, 653, 59536, 1061, 1262, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 1131, 496, 35074, 2544, 573, 496, 3435, 11403, 4596, 531, 18241, 3997, 4181, 236761, 564, 1765, 910, 146634, 1548, 563, 236743, 236778, 236832, 236771, 236828, 236771, 236770, 236800, 236770, 236764, 840, 564, 236789, 236757, 711, 2889, 1217, 531, 16807, 910, 28150, 653, 2426, 910, 14143, 4083, 236761, 3199, 611, 1601, 786, 3050, 1144, 672, 2544, 236789, 236751, 1695, 5724, 1133, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 1204, 43380, 171860, 182547, 503, 236761, 236750, 236761, 236748, 10498, 623, 12921, 236779, 845, 1083, 623, 4225, 1777, 236785, 236756, 236771, 236770, 236771, 236753, 11088, 503, 6920, 236785, 236756, 236771, 236770, 236771, 2235, 236785, 236756, 236771, 236771, 179732, 92396, 3779, 236785, 236756, 236771, 236771, 11038, 236757, 827, 623, 50990, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236828, 236772, 236771, 236810, 236772, 236770, 236778, 827, 623, 7720, 1083, 3714, 30419, 1083, 623, 24627, 1195, 936, 236785, 236756, 236771, 236771, 236744, 236770, 236743, 236778, 236828, 236819, 236786, 236770, 236810, 827, 623, 13319, 1083, 623, 70163, 2118, 236743, 236812, 827, 623, 157350, 236779, 3970, 1083, 623, 236770, 236812, 236771, 236771, 236771, 827, 623, 14801, 1083, 623, 193672, 9145, 23179, 623, 92973, 236779, 4818, 1083, 3714, 4730, 1083, 1847, 236764, 623, 5455, 236779, 88180, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 169117, 1083, 2977, 1263, 623, 105385, 236779, 29641, 1083, 78493, 17766, 1083, 623, 22630, 236750, 8934, 236785, 236756, 236771, 236771, 236744, 236770, 236767, 827, 623, 23788, 1083, 623, 236825, 236771, 70887, 623, 2084, 1083, 623, 48569, 23179, 3714, 17766, 1083, 623, 139746, 3692, 2073, 6507, 496, 236761, 236751, 10498, 623, 23788, 1083, 623, 236812, 236771, 70887, 623, 2084, 1083, 623, 96708, 25938, 1604, 623, 78024, 236779, 3970, 1083, 623, 129399, 236772, 236778, 236825, 236761, 236778, 236771, 236772, 236778, 236825, 236761, 236778, 236771, 236953, 827, 623, 23019, 236779, 10470, 1083, 623, 236847, 236785, 236756, 236771, 236771, 11038, 22875, 496, 608, 91369, 3538, 8281, 869, 236785, 236756, 236771, 236771, 11038, 574, 621, 236756, 236771, 236770, 236810, 236819, 236744, 236785, 236756, 236771, 236770, 236825, 236770, 501, 236785, 236756, 236771, 236771, 524, 608, 2212, 617, 20517, 496, 621, 236756, 236771, 236770, 236810, 236819, 236785, 236756, 236771, 236771, 524, 3779, 236785, 236756, 236771, 236771, 524, 904, 236785, 236756, 236771, 236771, 236744, 236770, 45433, 25938, 106, 107, 105, 4368, 107, 818, 35074, 2544, 5213, 1204, 43380, 171860, 182547, 503, 236761, 236750, 236761, 236748, 99382, 568, 34379, 236787, 236743, 236778, 236832, 236771, 236828, 236771, 236770, 236800, 236770, 236768, 7412, 531, 577, 496, 30781, 532, 53003, 1960, 13186, 607, 506, 2269, 2307, 4889, 7798, 531, 822, 11403, 26410, 236787, 108, 10354, 5213, 11900, 833, 159634, 1018, 107, 236772, 5213, 67289, 5959, 66515, 19159, 19096, 2544, 14083, 4225, 66093, 11088, 503, 6920, 30516, 9433, 92396, 3779, 23543, 236829, 779, 12314, 2338, 5213, 236770, 236819, 236819, 236828, 84750, 107, 236772, 5213, 9604, 66515, 5962, 1195, 77086, 236743, 236778, 236828, 236819, 236786, 236770, 236810, 236764, 124995, 236743, 236812, 236764, 236743, 236770, 236812, 236771, 236771, 236771, 236764, 35074, 9145, 236761, 107, 236772, 5213, 73939, 30235, 66515, 10624, 5411, 528, 5213, 50581, 2913, 573, 33972, 532, 18241, 3997, 1018, 568, 78024, 3393, 97354, 236772, 236778, 236825, 236761, 236778, 236771, 236772, 236778, 236825, 236761, 236778, 236771, 236953, 779, 5467, 120022, 607, 822, 11403, 7675, 236761, 108, 10354, 5213, 70408, 833, 32180, 18365, 1018, 107, 236772, 5213, 70408, 18365, 66515, 30638, 532, 872, 236772, 1071, 236772, 1896, 236764, 607, 5213, 1904, 30609, 1018, 9941, 528, 506, 1774, 17611, 568, 527, 529, 5261, 236743, 236778, 236771, 236778, 236812, 769, 107, 236772, 5213, 125443, 23718, 66515, 236743, 107, 138, 236772, 236743, 236825, 236771, 236908, 13129, 684, 5213, 22630, 236750, 8934, 18213, 1018, 568, 52004, 769, 107, 138, 236772, 236743, 236812, 236771, 236908, 684, 5213, 139746, 3692, 2073, 6507, 496, 236761, 236751, 99382, 568, 107556, 13186, 779, 22169, 3435, 23948, 531, 25898, 22351, 14739, 236761, 108, 10354, 5213, 211199, 1018, 107, 818, 2544, 236858, 236751, 1440, 236772, 8389, 15020, 236764, 3980, 14143, 3423, 236764, 532, 3213, 580, 18241, 236786, 1587, 4884, 5368, 1386, 625, 496, 57799, 8324, 236761, 1701, 3342, 2779, 63454, 236764, 611, 1149, 16807, 72433, 3692, 2073, 6507, 496, 236761, 236751, 12227, 236751, 1695, 568, 42974, 236743, 236812, 236771, 236908, 73987, 236768, 531, 5608, 4767, 5405, 653, 13682, 236761, 21284, 611, 1133, 1601, 607, 4767, 6555, 236881, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 2426, 506, 1695, 529, 72433, 3692, 2073, 6507, 496, 236761, 236751, 1126, 506, 11961, 8123, 529, 65279, 7329, 236761, 3574, 611, 735, 910, 146634, 1548, 653, 740, 611, 1586, 625, 1699, 910, 1463, 236881, 1174, 1093, 1601, 5608, 910, 11646, 532, 5405, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 3927, 573, 496, 35074, 2544, 236789, 236751, 146634, 1548, 1699, 1061, 1463, 236761, 3551, 1873, 15858, 1660, 506, 3530, 146634, 1548, 531, 33205, 4889, 236761, 1701, 72433, 3692, 2073, 6507, 496, 236761, 236751, 1126, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 5213, 11823, 910, 146634, 66515, 7179, 5125, 9413, 236764, 77365, 236764, 653, 506, 35074, 7449, 17697, 14083, 1479, 106234, 16549, 236767, 188526, 36796, 237872, 17616, 657, 870, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 5457, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 236768, 573, 1237, 8735, 236761, 107, 236778, 236761, 5213, 81933, 18497, 66515, 64063, 768, 65279, 7329, 236789, 236751, 18497, 3904, 568, 236812, 236771, 236908, 4247, 684, 72433, 3692, 2073, 6507, 496, 236761, 236751, 2907, 563, 31037, 528, 5125, 89707, 236761, 108, 2859, 611, 2847, 910, 146634, 1548, 236764, 564, 740, 18840, 910, 14143, 4083, 236764, 4867, 11646, 236764, 653, 6369, 4981, 236761, 21284, 611, 1133, 14984, 580, 1217, 531, 29888, 910, 146634, 236881, 106, 107, 105, 2364, 107, 236777, 15593, 65279, 7329, 236789, 236751, 5125, 4456, 532, 1765, 496, 3205, 531, 72433, 3692, 2073, 6507, 496, 236761, 236751, 7085, 236751, 8781, 528, 910, 623, 131115, 236775, 3336, 236761, 669, 3205, 5132, 506, 146634, 1548, 5213, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 1018, 573, 72433, 3692, 2073, 6507, 496, 236761, 236751, 236761, 3199, 611, 1492, 33205, 910, 14143, 4083, 532, 4867, 11646, 4889, 1699, 672, 146634, 236881, 1174, 1093, 1601, 786, 4071, 236772, 21318, 910, 5405, 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, 29995, 1083, 3714, 2486, 1083, 623, 18331, 6518, 236761, 69850, 236743, 236828, 236772, 29345, 2483, 607, 5830, 5743, 573, 35074, 146634, 236764, 2506, 11995, 236743, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 993, 236789, 236751, 496, 8330, 26919, 607, 506, 6436, 564, 735, 2802, 531, 236787, 5213, 193672, 146634, 4945, 6250, 607, 5743, 3914, 577, 18761, 15195, 1018, 684, 506, 1873, 1458, 236764, 618, 901, 236789, 500, 27707, 618, 40155, 2979, 568, 7650, 7266, 5830, 36509, 769, 669, 3847, 146634, 2165, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 236929, 563, 4341, 528, 6518, 568, 236828, 26798, 779, 840, 506, 5904, 7087, 625, 618, 614, 11995, 236764, 14260, 506, 5830, 5743, 531, 577, 5745, 532, 9113, 528, 614, 19070, 236743, 236832, 236772, 29345, 1548, 20442, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 59395, 108, 10354, 5213, 9272, 50228, 573, 1599, 1018, 107, 2021, 16807, 5213, 139746, 3692, 2073, 6507, 496, 236761, 236751, 236761, 568, 34379, 236787, 236743, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 62902, 236764, 564, 5840, 236787, 107, 236770, 236761, 5213, 17123, 506, 35074, 7449, 17697, 66515, 26922, 870, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 5457, 2574, 1411, 2769, 3906, 236761, 19930, 8162, 236761, 5511, 236768, 532, 3927, 573, 506, 2544, 1699, 506, 2587, 236743, 236828, 236772, 29345, 146634, 2165, 236771, 236812, 236825, 236778, 236770, 236812, 236832, 236800, 236929, 568, 35203, 506, 5830, 5743, 563, 5012, 769, 107, 236778, 236761, 5213, 71430, 63040, 181141, 66515, 669, 6818, 4728, 872, 236772, 1071, 236772, 1896, 14143, 8735, 236764, 18497, 4889, 236764, 532, 4867, 11646, 25268, 573, 35074, 4699, 236761, 108, 38786, 611, 1133, 14984, 580, 67112, 506, 35074, 7449, 17697, 653, 59536, 1061, 1262, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 40718, 3605, 58442, 6672, 8789, 7435, 1037, 154213, 8403, 236764, 840, 564, 1202, 1601, 6611, 1873, 15067, 531, 1386, 1041, 3004, 114542, 236761, 5315, 236764, 1586, 60194, 8991, 4596, 531, 623, 6075, 2327, 23060, 236775, 653, 623, 123865, 34294, 236775, 1699, 8319, 236779, 16043, 236761, 4298, 236764, 8701, 1903, 44100, 528, 672, 2557, 607, 2430, 236779, 3906, 236779, 236766, 236778, 684, 32187, 20183, 699, 1724, 8991, 236761, 1701, 1546, 33797, 236764, 1161, 2948, 236779, 2003, 236779, 547, 531, 18840, 910, 1903, 236743, 236800, 10103, 236789, 3904, 532, 15154, 9935, 236761, 13472, 236764, 4071, 236772, 30449, 4252, 236779, 16043, 531, 1586, 6672, 8789, 7435, 1037, 10015, 1294, 60194, 528, 1239, 10103, 236761, 173856, 672, 1262, 834, 564, 740, 230307, 22064, 1041, 192638, 6130, 607, 9226, 4820, 600, 236789, 859, 3371, 607, 1800, 2263, 28675, 532, 506, 8789, 7435, 1037, 128039, 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, 2074, 827, 623, 2084, 827, 623, 2305, 14255, 623, 29995, 1083, 3714, 7741, 13065, 1083, 623, 46456, 10434, 2495, 236764, 2506, 2483, 2093, 10434, 236761, 36126, 1921, 577, 3847, 618, 496, 45271, 10434, 2495, 236764, 711, 496, 2483, 1781, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 2074, 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, 173051, 1083, 78493, 65083, 236779, 1201, 1083, 13659, 6075, 2327, 31317, 117676, 827, 623, 14818, 1083, 623, 111534, 28917, 827, 623, 13084, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 661, 507, 3173, 236779, 3842, 2327, 827, 12948, 16171, 1741, 236779, 68615, 15698, 14255, 623, 10619, 236779, 78382, 1083, 11058, 63190, 24015, 504, 3025, 89970, 827, 623, 4967, 782, 8408, 159580, 3509, 35542, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 62300, 524, 902, 6075, 2327, 827, 623, 14818, 1083, 623, 4974, 525, 3301, 110680, 827, 623, 13084, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 236751, 17170, 2304, 236779, 906, 847, 827, 12948, 89088, 138265, 236779, 5168, 17180, 14255, 623, 10619, 236779, 78382, 1083, 11058, 61436, 1741, 12847, 97376, 827, 623, 32746, 507, 2423, 26497, 59644, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 220076, 16275, 62300, 236751, 827, 623, 14818, 1083, 623, 66057, 168889, 57919, 827, 623, 13084, 1083, 236743, 236819, 236810, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 3842, 2327, 236779, 13319, 236779, 5168, 827, 12948, 236763, 129660, 236779, 30477, 14246, 14255, 623, 10619, 236779, 78382, 1083, 11058, 5024, 2169, 20112, 607, 212464, 525, 7365, 827, 623, 22492, 530, 236772, 6075, 7435, 1037, 87244, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 16900, 4666, 134944, 827, 623, 14818, 1083, 623, 128318, 1831, 57939, 827, 623, 13084, 1083, 236743, 236825, 236832, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 601, 1358, 236779, 3842, 2327, 827, 12948, 654, 6832, 6278, 236779, 638, 7077, 527, 14255, 623, 10619, 236779, 78382, 1083, 11058, 29621, 236785, 236756, 236771, 236771, 236744, 236812, 1553, 236772, 74379, 236752, 236785, 236756, 236771, 236771, 236744, 236819, 96475, 41717, 827, 623, 1980, 72322, 236772, 1741, 2483, 17747, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 32453, 1741, 236874, 9521, 113170, 827, 623, 14818, 1083, 623, 9175, 16842, 16976, 41707, 827, 623, 13084, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 39421, 3754, 236779, 893, 236779, 16171, 1741, 827, 12948, 3842, 2327, 236779, 5168, 236779, 661, 14255, 623, 10619, 236779, 78382, 1083, 11058, 32054, 3509, 8789, 683, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 58222, 827, 623, 210426, 41537, 87712, 97376, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 236773, 17170, 2304, 5771, 827, 623, 14818, 1083, 623, 115047, 36903, 73103, 827, 623, 13084, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 62349, 236779, 19259, 507, 1630, 827, 12948, 1340, 16035, 236779, 893, 236779, 89088, 138265, 14255, 623, 10619, 236779, 78382, 1083, 11058, 236791, 2762, 5928, 4252, 827, 623, 63190, 7184, 14307, 11228, 89970, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 158967, 2730, 32453, 1741, 827, 623, 14818, 1083, 623, 31317, 4585, 47374, 827, 623, 13084, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 50455, 236779, 661, 507, 12310, 827, 12948, 30466, 2616, 236779, 68615, 26340, 14255, 623, 10619, 236779, 78382, 1083, 11058, 83953, 26497, 19549, 827, 623, 146367, 10536, 1741, 232145, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 6075, 2327, 62300, 179433, 827, 623, 14818, 1083, 623, 111534, 9426, 827, 623, 13084, 1083, 236743, 236770, 236819, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 670, 68045, 236779, 746, 236779, 17327, 24931, 827, 12948, 16171, 1741, 236779, 14323, 17966, 14255, 623, 10619, 236779, 78382, 1083, 11058, 21478, 236789, 236751, 26497, 12384, 827, 623, 164003, 10015, 1294, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 31317, 25421, 225786, 827, 623, 14818, 1083, 623, 25261, 168889, 743, 827, 623, 13084, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 2624, 31362, 236779, 3842, 2327, 827, 12948, 841, 598, 2550, 236779, 893, 236779, 2149, 236779, 16171, 1741, 14255, 623, 10619, 236779, 78382, 1083, 11058, 155565, 586, 86165, 22555, 827, 623, 63190, 18669, 12054, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 222170, 55432, 62300, 236751, 827, 623, 14818, 1083, 623, 18085, 92988, 827, 623, 13084, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 3842, 2327, 236779, 596, 7967, 827, 12948, 5168, 25421, 236779, 236753, 3754, 55432, 14255, 623, 10619, 236779, 78382, 1083, 11058, 6075, 7435, 1037, 128039, 232145, 827, 623, 236797, 731, 14223, 525, 26497, 97376, 99471, 1604, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 132331, 6075, 2327, 827, 13659, 62300, 236751, 4088, 86436, 47158, 827, 13659, 111534, 9175, 511, 743, 14255, 623, 145644, 236779, 20156, 236779, 65203, 1083, 11058, 63190, 70637, 527, 1162, 236317, 2556, 109034, 30692, 827, 623, 32899, 1662, 6362, 504, 3025, 39161, 827, 623, 31317, 4554, 1965, 1657, 22391, 12054, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 661, 507, 3173, 236779, 3842, 2327, 827, 623, 4971, 236779, 1201, 1083, 623, 96630, 229087, 827, 623, 76647, 236779, 2861, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 236764, 623, 36627, 1083, 623, 18160, 26438, 8789, 7435, 1037, 154213, 28968, 1343, 4532, 54491, 236761, 645, 6983, 4848, 569, 236743, 236800, 601, 1486, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236812, 236785, 236756, 236778, 236832, 236778, 236828, 997, 16900, 4666, 6075, 683, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 827, 623, 7125, 1083, 623, 6075, 2327, 4085, 236764, 51135, 827, 623, 188357, 1083, 11058, 5168, 25421, 827, 623, 50771, 23060, 827, 623, 661, 16842, 34294, 14255, 623, 3991, 236779, 40232, 1083, 78493, 547, 1083, 623, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 827, 623, 13084, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236770, 236778, 236761, 236832, 236764, 623, 21151, 1083, 623, 3910, 531, 107478, 496, 10536, 1741, 5808, 3759, 1131, 80444, 621, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 997, 32453, 1741, 6075, 2327, 827, 623, 26873, 236779, 3456, 1083, 623, 63190, 6362, 504, 3025, 35542, 23179, 3714, 547, 1083, 623, 66308, 236812, 236832, 236778, 236828, 236770, 236819, 827, 623, 13084, 1083, 236743, 236819, 236778, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236819, 236761, 236800, 236764, 623, 21151, 1083, 623, 30730, 8403, 699, 1041, 763, 75145, 236789, 236751, 18669, 621, 689, 236828, 236800, 236753, 236785, 689, 2167, 236771, 236785, 77118, 236771, 236760, 997, 2023, 3765, 10096, 205732, 827, 623, 26873, 236779, 3456, 1083, 623, 3133, 50198, 3661, 87712, 19549, 23179, 3714, 547, 1083, 623, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 827, 623, 13084, 1083, 236743, 236825, 236832, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236828, 236761, 236770, 236764, 623, 21151, 1083, 623, 32899, 20239, 14385, 236787, 13678, 236772, 536, 3059, 518, 44144, 3863, 997, 137388, 2308, 4967, 32453, 1741, 827, 623, 26873, 236779, 3456, 1083, 623, 125743, 236772, 236755, 77332, 76748, 25938, 1604, 623, 3955, 236779, 23251, 1083, 3714, 6725, 236779, 40232, 1083, 236743, 236770, 236812, 236778, 236764, 623, 28128, 236779, 11636, 236779, 2289, 236779, 27297, 1083, 236743, 236778, 236828, 236761, 236812, 236764, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 236770, 236828, 236772, 236778, 236812, 1083, 236743, 236800, 236778, 236764, 623, 676, 236779, 236778, 236810, 236772, 236800, 236812, 1083, 236743, 236812, 236810, 236764, 623, 3842, 2327, 236779, 152303, 1083, 236743, 236825, 236828, 236764, 623, 236753, 3754, 55432, 236779, 152303, 1083, 236743, 236778, 236832, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 11668, 1083, 623, 16171, 1741, 236779, 68615, 15698, 827, 623, 13330, 236779, 3906, 1083, 3714, 76647, 1083, 236743, 236828, 236810, 236771, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236812, 236810, 236764, 623, 36627, 1083, 623, 18160, 26438, 8789, 7435, 1037, 154213, 23060, 1343, 6672, 8403, 236761, 40073, 1194, 607, 90760, 33350, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 236785, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 997, 6075, 2327, 62300, 236751, 827, 623, 13330, 236779, 13084, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 623, 3955, 236779, 23251, 1083, 3714, 6725, 236779, 40232, 1083, 236743, 236770, 236828, 236819, 236764, 623, 28128, 236779, 13084, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 3991, 236779, 10540, 236779, 13084, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236819, 236761, 236832, 171446, 623, 11622, 236779, 15921, 1083, 3714, 87622, 1083, 1847, 236764, 623, 7128, 236779, 11622, 1083, 2416, 236764, 623, 23019, 236779, 11622, 1083, 1847, 236764, 623, 70496, 1083, 11058, 507, 827, 623, 501, 14255, 623, 7125, 1083, 623, 6075, 2327, 4085, 236764, 51135, 23179, 623, 43852, 236779, 13692, 1083, 3714, 5455, 236779, 3274, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 65083, 236779, 176985, 1083, 11058, 236865, 32453, 1741, 66733, 827, 13659, 16900, 4666, 6075, 2327, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1348, 7772, 236779, 547, 1083, 623, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 827, 623, 2084, 1083, 623, 10540, 236779, 3906, 827, 623, 10540, 236779, 1516, 1083, 3714, 7777, 1083, 623, 25261, 522, 6672, 8789, 7435, 1037, 3863, 4554, 1965, 8403, 607, 1392, 111534, 109278, 6597, 827, 623, 76562, 1083, 3714, 2364, 236779, 547, 1083, 623, 225686, 236832, 236832, 236778, 236770, 827, 623, 11668, 1083, 623, 111534, 109278, 6597, 827, 623, 36627, 1083, 623, 18160, 26438, 51135, 236789, 236751, 23060, 1343, 86165, 34294, 621, 689, 236828, 236800, 236755, 236785, 689, 3405, 236810, 236785, 689, 236828, 236800, 236755, 236785, 689, 893, 236825, 827, 623, 76647, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 1263, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236778, 236800, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236812, 236810, 236771, 236764, 623, 28128, 236779, 11636, 236779, 2289, 1083, 623, 236812, 236810, 236751, 23179, 623, 213002, 236779, 31303, 1083, 3714, 24344, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 236779, 24344, 827, 623, 11102, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 236779, 11102, 23179, 623, 19112, 1083, 11058, 236865, 6075, 2327, 202880, 827, 13659, 31317, 25421, 827, 13659, 63190, 62300, 236751, 14255, 623, 26873, 236779, 3456, 1083, 3714, 3250, 1083, 623, 2021, 6601, 569, 14402, 88074, 827, 623, 31040, 1083, 623, 236811, 36683, 3159, 2486, 51135, 85547, 827, 623, 26873, 236779, 547, 1083, 623, 97615, 236810, 236810, 236825, 236770, 23179, 623, 75884, 1083, 3714, 46858, 236779, 13084, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 152303, 236779, 10258, 50376, 1083, 3714, 6047, 1083, 236743, 236825, 236828, 236764, 623, 236753, 3754, 55432, 1083, 236743, 236778, 236819, 236764, 623, 65739, 1083, 236743, 236800, 113527, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 547, 1083, 623, 66308, 236812, 236832, 236778, 236828, 236770, 236819, 827, 623, 4818, 1083, 623, 5034, 827, 623, 76562, 1083, 3714, 11668, 1083, 623, 3842, 2327, 236779, 5168, 661, 827, 623, 76647, 1083, 236743, 236828, 236778, 236800, 236771, 236771, 236764, 623, 87622, 1083, 1847, 1263, 623, 3955, 1083, 3714, 7777, 1083, 623, 3898, 198960, 75408, 529, 496, 10536, 1741, 5808, 3759, 528, 67488, 827, 623, 173051, 1083, 11058, 236865, 6075, 2327, 202880, 827, 13659, 31317, 25421, 25261, 14255, 623, 26873, 1083, 3714, 3250, 1083, 623, 236780, 77332, 569, 2137, 8624, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 31040, 1083, 623, 18939, 10333, 6441, 1162, 39097, 1289, 827, 623, 26873, 236779, 547, 1083, 623, 97615, 236810, 236810, 236819, 236770, 236775, 5237, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236812, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236778, 236764, 623, 158076, 1083, 236743, 236800, 236771, 236812, 236764, 623, 177142, 1083, 236743, 236778, 236770, 236832, 236771, 1263, 623, 213002, 1083, 3714, 2451, 236779, 236810, 236812, 236771, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236770, 236771, 236828, 236771, 236761, 2720, 236812, 827, 623, 2451, 236779, 236832, 236778, 236771, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236832, 236778, 236771, 236761, 2720, 236812, 827, 623, 19001, 1083, 236743, 236810, 236828, 1263, 623, 75884, 1083, 3714, 3991, 236779, 13486, 1083, 623, 2094, 83918, 12076, 24947, 531, 1041, 6114, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236819, 236819, 827, 623, 46858, 236779, 1543, 616, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 95605, 236779, 4720, 1083, 236743, 236832, 236828, 236761, 236778, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 547, 1083, 623, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 827, 623, 4818, 1083, 623, 5034, 827, 623, 76562, 1083, 3714, 11668, 1083, 623, 6075, 2327, 9175, 16842, 827, 623, 76647, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 236764, 623, 36627, 1083, 623, 18160, 26438, 8789, 7435, 1037, 154213, 28968, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236812, 236785, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 23179, 623, 213002, 236779, 31303, 1083, 3714, 24344, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 236779, 24344, 236761, 2720, 236812, 827, 623, 11102, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 236779, 11102, 236761, 2720, 236812, 23179, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236800, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 152303, 236779, 10258, 50376, 1083, 3714, 6047, 236779, 3842, 2327, 1083, 236743, 236825, 236778, 236764, 623, 236753, 3754, 55432, 1083, 236743, 236778, 236828, 236764, 623, 65739, 1083, 236743, 236770, 236771, 5237, 623, 21052, 1083, 3714, 7777, 1083, 623, 25261, 522, 6672, 8789, 7435, 1037, 154213, 8403, 607, 1392, 1659, 89104, 62300, 236751, 621, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 997, 6075, 2327, 202880, 997, 4974, 12901, 62300, 236751, 827, 623, 137112, 4073, 1083, 11058, 236865, 6075, 2327, 202880, 827, 13659, 4974, 12901, 62300, 236751, 827, 13659, 31317, 25421, 14255, 623, 26873, 1083, 3714, 547, 1083, 623, 97615, 236810, 236828, 236819, 236778, 827, 623, 3250, 1083, 623, 236780, 77332, 569, 2137, 8624, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 31040, 1083, 623, 18939, 10333, 6441, 569, 132846, 236785, 236756, 236771, 236771, 236744, 236770, 23179, 623, 19001, 1083, 623, 236771, 236771, 236787, 236810, 236828, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 23179, 623, 75884, 1083, 3714, 3991, 236779, 13486, 1083, 623, 2094, 4716, 786, 1063, 531, 1041, 763, 17966, 236789, 236751, 3155, 528, 54521, 2379, 236785, 236756, 236771, 236771, 524, 41218, 623, 46858, 236779, 1543, 522, 236779, 2289, 1083, 623, 236770, 236819, 236787, 236771, 236771, 236772, 236778, 236770, 236787, 236771, 236771, 2263, 990, 827, 623, 234863, 236779, 26358, 1083, 3714, 6075, 2327, 1083, 236743, 236832, 236828, 236764, 623, 18038, 1083, 236743, 236770, 236778, 236764, 623, 79932, 1083, 236743, 236810, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 65000, 1083, 78493, 547, 1083, 623, 236832, 236828, 236819, 70681, 827, 623, 3250, 1083, 623, 236780, 77332, 569, 2137, 8624, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 31040, 1083, 623, 18939, 24015, 2985, 1162, 6486, 827, 623, 10540, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 13647, 1083, 623, 6075, 2327, 827, 623, 58644, 567, 1083, 11058, 236759, 81738, 827, 623, 149649, 3509, 14255, 623, 45527, 236779, 40232, 1083, 78493, 10540, 236779, 547, 1083, 623, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 76562, 1083, 12948, 661, 507, 3173, 236779, 3842, 2327, 827, 623, 13084, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236832, 236761, 236778, 1263, 3714, 10540, 236779, 547, 1083, 623, 236847, 236825, 236832, 236828, 236819, 236771, 827, 623, 76562, 1083, 12948, 16171, 1741, 236779, 68615, 26340, 827, 623, 13084, 1083, 236743, 236825, 236832, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236825, 236761, 236828, 200808, 3714, 547, 1083, 623, 236812, 236810, 236825, 70681, 827, 623, 3250, 1083, 623, 236773, 17170, 2304, 696, 759, 646, 7673, 827, 623, 31040, 1083, 623, 71466, 738, 504, 13235, 32026, 827, 623, 10540, 236779, 2861, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 13647, 1083, 623, 6075, 2327, 827, 623, 58644, 567, 1083, 11058, 516, 4423, 827, 623, 70160, 601, 14255, 623, 45527, 236779, 40232, 1083, 78493, 10540, 236779, 547, 1083, 623, 236847, 236770, 236770, 236778, 236778, 236800, 827, 623, 76562, 1083, 12948, 601, 1358, 236779, 3842, 683, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 13084, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236810, 236761, 236819, 15947, 104960, 623, 21052, 1083, 3714, 13647, 236779, 7212, 1083, 623, 6075, 2327, 827, 623, 58043, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4874, 236779, 14423, 1083, 623, 236770, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 14971, 25890, 529, 51135, 236789, 236751, 9226, 154213, 40718, 10092, 531, 1573, 822, 3605, 236787, 108, 1018, 136971, 74850, 50647, 1018, 107, 236770, 236761, 5213, 236865, 6075, 2327, 31317, 117676, 1018, 568, 236778, 236761, 236810, 236792, 8208, 236768, 107, 139, 236772, 21657, 236787, 32462, 28917, 107, 139, 236772, 9533, 235606, 236787, 1392, 661, 507, 3173, 236779, 3842, 2327, 236764, 1392, 16171, 1741, 236779, 68615, 15698, 107, 139, 236772, 203678, 236787, 43899, 24015, 504, 3025, 89970, 108, 236778, 236761, 5213, 236865, 62300, 524, 902, 6075, 2327, 1018, 568, 236770, 236761, 236828, 236792, 8208, 236768, 107, 139, 236772, 21657, 236787, 131562, 3301, 110680, 107, 139, 236772, 9533, 235606, 236787, 1392, 236751, 17170, 2304, 236779, 906, 847, 236764, 1392, 89088, 138265, 236779, 5168, 17180, 107, 139, 236772, 203678, 236787, 26809, 1741, 12847, 97376, 108, 1018, 8534, 60977, 13768, 1018, 107, 236770, 236761, 5213, 236940, 661, 507, 3173, 236779, 3842, 2327, 1018, 568, 236828, 236778, 236767, 23073, 236768, 107, 139, 236772, 21748, 236787, 623, 236800, 7221, 236772, 2568, 3863, 36865, 39983, 28968, 236775, 107, 139, 236772, 6642, 50376, 236787, 236743, 236825, 236828, 236908, 51135, 236764, 236743, 236778, 236832, 236908, 150510, 107, 139, 236772, 8231, 11994, 32837, 236787, 107, 141, 236772, 17016, 236772, 1048, 75408, 8403, 568, 18553, 236761, 236743, 236778, 236828, 236751, 4526, 990, 236768, 107, 141, 236772, 32462, 54491, 568, 236744, 236761, 236759, 1126, 623, 4619, 75145, 236789, 236751, 18669, 31156, 1373, 107, 141, 236772, 203678, 236787, 24015, 504, 3025, 35542, 568, 236770, 236778, 236761, 236832, 236908, 15154, 236768, 108, 236778, 236761, 5213, 236940, 16171, 1741, 236779, 68615, 15698, 1018, 568, 236828, 236810, 236767, 23073, 236768, 107, 139, 236772, 128731, 1960, 2881, 107, 139, 236772, 16748, 29785, 236787, 236743, 236825, 236828, 236908, 23060, 8403, 236764, 236743, 236778, 236832, 236908, 4532, 85382, 107, 139, 236772, 43633, 63010, 236787, 236743, 236832, 236787, 236771, 236771, 236772, 236819, 236787, 236771, 236771, 8711, 2263, 990, 108, 1018, 10485, 23718, 76374, 1018, 107, 236772, 5213, 8534, 77790, 36353, 66515, 236743, 107, 138, 236772, 236743, 236771, 236787, 236771, 236771, 236772, 236771, 236787, 236770, 236771, 236787, 25735, 11918, 16913, 107, 138, 236772, 236743, 236771, 236787, 236770, 236771, 236772, 236771, 236787, 236800, 236771, 236787, 14938, 236772, 2003, 236772, 9340, 9939, 107, 138, 236772, 236743, 236771, 236787, 236800, 236771, 236772, 236771, 236787, 236812, 236810, 236787, 32462, 4403, 236786, 24251, 107, 138, 236772, 236743, 236771, 236787, 236812, 236810, 236772, 236771, 236787, 236810, 236828, 236787, 9861, 236772, 1071, 236772, 2064, 568, 236744, 236761, 236759, 1126, 623, 12345, 496, 12339, 86165, 1373, 108, 1018, 63190, 203678, 48993, 1018, 107, 236770, 236761, 5213, 54924, 504, 3025, 630, 18818, 1356, 1018, 568, 33593, 528, 236743, 236832, 236828, 236908, 529, 1903, 10103, 236768, 107, 139, 236772, 14691, 30452, 236787, 623, 2021, 6601, 569, 14402, 88074, 236775, 568, 97615, 236810, 236810, 236825, 236770, 236768, 107, 139, 236772, 63010, 54139, 236787, 900, 236778, 236800, 236908, 4398, 108, 236778, 236761, 5213, 61436, 1741, 30784, 9384, 8498, 1018, 107, 139, 236772, 47374, 27593, 236787, 236743, 236812, 236810, 236908, 17794, 607, 4532, 39161, 107, 139, 236772, 14691, 236787, 623, 236780, 77332, 569, 2137, 8624, 97763, 236775, 568, 97615, 236810, 236828, 236819, 236778, 236768, 108, 1018, 4795, 34428, 91330, 1018, 107, 236770, 236761, 5213, 66733, 87960, 1018, 107, 139, 236772, 40502, 12714, 573, 997, 6075, 2327, 31317, 117676, 1699, 6362, 504, 3025, 53063, 107, 139, 236772, 50292, 5268, 236772, 208518, 10103, 573, 997, 62300, 524, 902, 6075, 2327, 108, 236778, 236761, 5213, 10485, 23718, 33404, 1018, 107, 139, 2717, 60865, 107, 139, 236772, 46980, 236787, 3331, 1872, 10536, 1741, 5808, 3759, 16913, 568, 236771, 236787, 236771, 236771, 236772, 236771, 236787, 236771, 236828, 236768, 107, 139, 236772, 82068, 236787, 64026, 3863, 75408, 3107, 236772, 1048, 568, 236771, 236787, 236771, 236828, 236772, 236771, 236787, 236778, 236810, 236768, 107, 139, 236772, 16976, 236787, 12831, 18669, 4083, 568, 236771, 236787, 236778, 236810, 236772, 236771, 236787, 236812, 236771, 236768, 107, 139, 236772, 113968, 236787, 623, 26247, 822, 23060, 10946, 236775, 568, 236771, 236787, 236812, 236771, 236772, 236771, 236787, 236810, 236828, 236768, 107, 139, 2717, 108, 236800, 236761, 5213, 24068, 34428, 1018, 107, 139, 236772, 21264, 236787, 43899, 6362, 504, 3025, 10015, 1294, 107, 139, 236772, 43052, 236787, 13806, 1662, 10536, 1741, 232145, 568, 236770, 236810, 236908, 15295, 12277, 236768, 107, 139, 236772, 49243, 59303, 236787, 19558, 22391, 18669, 12054, 618, 10929, 9855, 6352, 108, 236812, 236761, 5213, 40282, 1812, 63010, 1018, 107, 139, 236772, 19653, 44100, 528, 997, 6075, 2327, 202880, 8319, 107, 139, 236772, 6531, 236743, 236832, 236772, 236819, 8711, 2263, 990, 568, 46858, 236743, 236825, 236828, 236908, 9998, 236768, 107, 139, 236772, 6890, 14413, 236772, 19859, 100264, 568, 80353, 236786, 27832, 236768, 108, 236810, 236761, 5213, 29698, 39461, 140604, 1018, 107, 139, 236772, 39370, 236743, 236770, 236787, 623, 236810, 179048, 529, 10013, 25421, 74309, 236775, 107, 139, 236772, 39370, 236743, 236800, 236787, 623, 32899, 25373, 34556, 41956, 57939, 236775, 107, 139, 236772, 39370, 236743, 236810, 236787, 623, 222170, 55432, 19767, 236787, 36903, 522, 46320, 141020, 236775, 108, 1018, 181673, 197076, 1018, 107, 236772, 4140, 623, 11242, 900, 28917, 236775, 32250, 10103, 107, 236772, 37868, 32529, 236772, 5863, 10969, 14062, 568, 236744, 236761, 236759, 1126, 11586, 236970, 1553, 236772, 74379, 32433, 8403, 236768, 107, 236772, 12213, 623, 21728, 529, 10013, 236775, 20875, 1699, 6672, 10015, 7365, 108, 2094, 4313, 59156, 236743, 236832, 236828, 236908, 6672, 4820, 607, 236743, 236778, 236778, 236908, 4532, 85382, 531, 29893, 15154, 1651, 39983, 58542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 40718, 3605, 58442, 6672, 8789, 7435, 1037, 154213, 8403, 236764, 840, 564, 1202, 1601, 6611, 1873, 15067, 531, 1386, 1041, 3004, 114542, 236761, 5315, 236764, 1586, 60194, 8991, 4596, 531, 623, 6075, 2327, 23060, 236775, 653, 623, 123865, 34294, 236775, 1699, 8319, 236779, 16043, 236761, 4298, 236764, 8701, 1903, 44100, 528, 672, 2557, 607, 2430, 236779, 3906, 236779, 236766, 236778, 684, 32187, 20183, 699, 1724, 8991, 236761, 1701, 1546, 33797, 236764, 1161, 2948, 236779, 2003, 236779, 547, 531, 18840, 910, 1903, 236743, 236800, 10103, 236789, 3904, 532, 15154, 9935, 236761, 13472, 236764, 4071, 236772, 30449, 4252, 236779, 16043, 531, 1586, 6672, 8789, 7435, 1037, 10015, 1294, 60194, 528, 1239, 10103, 236761, 173856, 672, 1262, 834, 564, 740, 230307, 22064, 1041, 192638, 6130, 607, 9226, 4820, 600, 236789, 859, 3371, 607, 1800, 2263, 28675, 532, 506, 8789, 7435, 1037, 128039, 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, 2074, 827, 623, 2084, 827, 623, 2305, 14255, 623, 29995, 1083, 3714, 7741, 13065, 1083, 623, 46456, 10434, 2495, 236764, 2506, 2483, 2093, 10434, 236761, 36126, 1921, 577, 3847, 618, 496, 45271, 10434, 2495, 236764, 711, 496, 2483, 1781, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 2074, 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, 173051, 1083, 78493, 65083, 236779, 1201, 1083, 13659, 6075, 2327, 31317, 117676, 827, 623, 14818, 1083, 623, 111534, 28917, 827, 623, 13084, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 661, 507, 3173, 236779, 3842, 2327, 827, 12948, 16171, 1741, 236779, 68615, 15698, 14255, 623, 10619, 236779, 78382, 1083, 11058, 63190, 24015, 504, 3025, 89970, 827, 623, 4967, 782, 8408, 159580, 3509, 35542, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 62300, 524, 902, 6075, 2327, 827, 623, 14818, 1083, 623, 4974, 525, 3301, 110680, 827, 623, 13084, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 236751, 17170, 2304, 236779, 906, 847, 827, 12948, 89088, 138265, 236779, 5168, 17180, 14255, 623, 10619, 236779, 78382, 1083, 11058, 61436, 1741, 12847, 97376, 827, 623, 32746, 507, 2423, 26497, 59644, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 220076, 16275, 62300, 236751, 827, 623, 14818, 1083, 623, 66057, 168889, 57919, 827, 623, 13084, 1083, 236743, 236819, 236810, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 3842, 2327, 236779, 13319, 236779, 5168, 827, 12948, 236763, 129660, 236779, 30477, 14246, 14255, 623, 10619, 236779, 78382, 1083, 11058, 5024, 2169, 20112, 607, 212464, 525, 7365, 827, 623, 22492, 530, 236772, 6075, 7435, 1037, 87244, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 16900, 4666, 134944, 827, 623, 14818, 1083, 623, 128318, 1831, 57939, 827, 623, 13084, 1083, 236743, 236825, 236832, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 601, 1358, 236779, 3842, 2327, 827, 12948, 654, 6832, 6278, 236779, 638, 7077, 527, 14255, 623, 10619, 236779, 78382, 1083, 11058, 29621, 236785, 236756, 236771, 236771, 236744, 236812, 1553, 236772, 74379, 236752, 236785, 236756, 236771, 236771, 236744, 236819, 96475, 41717, 827, 623, 1980, 72322, 236772, 1741, 2483, 17747, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 32453, 1741, 236874, 9521, 113170, 827, 623, 14818, 1083, 623, 9175, 16842, 16976, 41707, 827, 623, 13084, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 39421, 3754, 236779, 893, 236779, 16171, 1741, 827, 12948, 3842, 2327, 236779, 5168, 236779, 661, 14255, 623, 10619, 236779, 78382, 1083, 11058, 32054, 3509, 8789, 683, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 58222, 827, 623, 210426, 41537, 87712, 97376, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 236773, 17170, 2304, 5771, 827, 623, 14818, 1083, 623, 115047, 36903, 73103, 827, 623, 13084, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 62349, 236779, 19259, 507, 1630, 827, 12948, 1340, 16035, 236779, 893, 236779, 89088, 138265, 14255, 623, 10619, 236779, 78382, 1083, 11058, 236791, 2762, 5928, 4252, 827, 623, 63190, 7184, 14307, 11228, 89970, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 158967, 2730, 32453, 1741, 827, 623, 14818, 1083, 623, 31317, 4585, 47374, 827, 623, 13084, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 50455, 236779, 661, 507, 12310, 827, 12948, 30466, 2616, 236779, 68615, 26340, 14255, 623, 10619, 236779, 78382, 1083, 11058, 83953, 26497, 19549, 827, 623, 146367, 10536, 1741, 232145, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 6075, 2327, 62300, 179433, 827, 623, 14818, 1083, 623, 111534, 9426, 827, 623, 13084, 1083, 236743, 236770, 236819, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 670, 68045, 236779, 746, 236779, 17327, 24931, 827, 12948, 16171, 1741, 236779, 14323, 17966, 14255, 623, 10619, 236779, 78382, 1083, 11058, 21478, 236789, 236751, 26497, 12384, 827, 623, 164003, 10015, 1294, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 31317, 25421, 225786, 827, 623, 14818, 1083, 623, 25261, 168889, 743, 827, 623, 13084, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 2624, 31362, 236779, 3842, 2327, 827, 12948, 841, 598, 2550, 236779, 893, 236779, 2149, 236779, 16171, 1741, 14255, 623, 10619, 236779, 78382, 1083, 11058, 155565, 586, 86165, 22555, 827, 623, 63190, 18669, 12054, 152254, 3714, 65083, 236779, 1201, 1083, 13659, 222170, 55432, 62300, 236751, 827, 623, 14818, 1083, 623, 18085, 92988, 827, 623, 13084, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236764, 623, 906, 3287, 1083, 11058, 236940, 3842, 2327, 236779, 596, 7967, 827, 12948, 5168, 25421, 236779, 236753, 3754, 55432, 14255, 623, 10619, 236779, 78382, 1083, 11058, 6075, 7435, 1037, 128039, 232145, 827, 623, 236797, 731, 14223, 525, 26497, 97376, 99471, 1604, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 132331, 6075, 2327, 827, 13659, 62300, 236751, 4088, 86436, 47158, 827, 13659, 111534, 9175, 511, 743, 14255, 623, 145644, 236779, 20156, 236779, 65203, 1083, 11058, 63190, 70637, 527, 1162, 236317, 2556, 109034, 30692, 827, 623, 32899, 1662, 6362, 504, 3025, 39161, 827, 623, 31317, 4554, 1965, 1657, 22391, 12054, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 661, 507, 3173, 236779, 3842, 2327, 827, 623, 4971, 236779, 1201, 1083, 623, 96630, 229087, 827, 623, 76647, 236779, 2861, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 236764, 623, 36627, 1083, 623, 18160, 26438, 8789, 7435, 1037, 154213, 28968, 1343, 4532, 54491, 236761, 645, 6983, 4848, 569, 236743, 236800, 601, 1486, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236812, 236785, 236756, 236778, 236832, 236778, 236828, 997, 16900, 4666, 6075, 683, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 827, 623, 7125, 1083, 623, 6075, 2327, 4085, 236764, 51135, 827, 623, 188357, 1083, 11058, 5168, 25421, 827, 623, 50771, 23060, 827, 623, 661, 16842, 34294, 14255, 623, 3991, 236779, 40232, 1083, 78493, 547, 1083, 623, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 827, 623, 13084, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236770, 236778, 236761, 236832, 236764, 623, 21151, 1083, 623, 3910, 531, 107478, 496, 10536, 1741, 5808, 3759, 1131, 80444, 621, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 997, 32453, 1741, 6075, 2327, 827, 623, 26873, 236779, 3456, 1083, 623, 63190, 6362, 504, 3025, 35542, 23179, 3714, 547, 1083, 623, 66308, 236812, 236832, 236778, 236828, 236770, 236819, 827, 623, 13084, 1083, 236743, 236819, 236778, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236819, 236761, 236800, 236764, 623, 21151, 1083, 623, 30730, 8403, 699, 1041, 763, 75145, 236789, 236751, 18669, 621, 689, 236828, 236800, 236753, 236785, 689, 2167, 236771, 236785, 77118, 236771, 236760, 997, 2023, 3765, 10096, 205732, 827, 623, 26873, 236779, 3456, 1083, 623, 3133, 50198, 3661, 87712, 19549, 23179, 3714, 547, 1083, 623, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 827, 623, 13084, 1083, 236743, 236825, 236832, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236828, 236761, 236770, 236764, 623, 21151, 1083, 623, 32899, 20239, 14385, 236787, 13678, 236772, 536, 3059, 518, 44144, 3863, 997, 137388, 2308, 4967, 32453, 1741, 827, 623, 26873, 236779, 3456, 1083, 623, 125743, 236772, 236755, 77332, 76748, 25938, 1604, 623, 3955, 236779, 23251, 1083, 3714, 6725, 236779, 40232, 1083, 236743, 236770, 236812, 236778, 236764, 623, 28128, 236779, 11636, 236779, 2289, 236779, 27297, 1083, 236743, 236778, 236828, 236761, 236812, 236764, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 236770, 236828, 236772, 236778, 236812, 1083, 236743, 236800, 236778, 236764, 623, 676, 236779, 236778, 236810, 236772, 236800, 236812, 1083, 236743, 236812, 236810, 236764, 623, 3842, 2327, 236779, 152303, 1083, 236743, 236825, 236828, 236764, 623, 236753, 3754, 55432, 236779, 152303, 1083, 236743, 236778, 236832, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 11668, 1083, 623, 16171, 1741, 236779, 68615, 15698, 827, 623, 13330, 236779, 3906, 1083, 3714, 76647, 1083, 236743, 236828, 236810, 236771, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236812, 236810, 236764, 623, 36627, 1083, 623, 18160, 26438, 8789, 7435, 1037, 154213, 23060, 1343, 6672, 8403, 236761, 40073, 1194, 607, 90760, 33350, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 236785, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 997, 6075, 2327, 62300, 236751, 827, 623, 13330, 236779, 13084, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 623, 3955, 236779, 23251, 1083, 3714, 6725, 236779, 40232, 1083, 236743, 236770, 236828, 236819, 236764, 623, 28128, 236779, 13084, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 3991, 236779, 10540, 236779, 13084, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236819, 236761, 236832, 171446, 623, 11622, 236779, 15921, 1083, 3714, 87622, 1083, 1847, 236764, 623, 7128, 236779, 11622, 1083, 2416, 236764, 623, 23019, 236779, 11622, 1083, 1847, 236764, 623, 70496, 1083, 11058, 507, 827, 623, 501, 14255, 623, 7125, 1083, 623, 6075, 2327, 4085, 236764, 51135, 23179, 623, 43852, 236779, 13692, 1083, 3714, 5455, 236779, 3274, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 65083, 236779, 176985, 1083, 11058, 236865, 32453, 1741, 66733, 827, 13659, 16900, 4666, 6075, 2327, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1348, 7772, 236779, 547, 1083, 623, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 827, 623, 2084, 1083, 623, 10540, 236779, 3906, 827, 623, 10540, 236779, 1516, 1083, 3714, 7777, 1083, 623, 25261, 522, 6672, 8789, 7435, 1037, 3863, 4554, 1965, 8403, 607, 1392, 111534, 109278, 6597, 827, 623, 76562, 1083, 3714, 2364, 236779, 547, 1083, 623, 225686, 236832, 236832, 236778, 236770, 827, 623, 11668, 1083, 623, 111534, 109278, 6597, 827, 623, 36627, 1083, 623, 18160, 26438, 51135, 236789, 236751, 23060, 1343, 86165, 34294, 621, 689, 236828, 236800, 236755, 236785, 689, 3405, 236810, 236785, 689, 236828, 236800, 236755, 236785, 689, 893, 236825, 827, 623, 76647, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 1263, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236778, 236800, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236812, 236810, 236771, 236764, 623, 28128, 236779, 11636, 236779, 2289, 1083, 623, 236812, 236810, 236751, 23179, 623, 213002, 236779, 31303, 1083, 3714, 24344, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 236779, 24344, 827, 623, 11102, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236770, 236771, 236778, 236819, 236800, 236828, 236779, 11102, 23179, 623, 19112, 1083, 11058, 236865, 6075, 2327, 202880, 827, 13659, 31317, 25421, 827, 13659, 63190, 62300, 236751, 14255, 623, 26873, 236779, 3456, 1083, 3714, 3250, 1083, 623, 2021, 6601, 569, 14402, 88074, 827, 623, 31040, 1083, 623, 236811, 36683, 3159, 2486, 51135, 85547, 827, 623, 26873, 236779, 547, 1083, 623, 97615, 236810, 236810, 236825, 236770, 23179, 623, 75884, 1083, 3714, 46858, 236779, 13084, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 152303, 236779, 10258, 50376, 1083, 3714, 6047, 1083, 236743, 236825, 236828, 236764, 623, 236753, 3754, 55432, 1083, 236743, 236778, 236819, 236764, 623, 65739, 1083, 236743, 236800, 113527, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 547, 1083, 623, 66308, 236812, 236832, 236778, 236828, 236770, 236819, 827, 623, 4818, 1083, 623, 5034, 827, 623, 76562, 1083, 3714, 11668, 1083, 623, 3842, 2327, 236779, 5168, 661, 827, 623, 76647, 1083, 236743, 236828, 236778, 236800, 236771, 236771, 236764, 623, 87622, 1083, 1847, 1263, 623, 3955, 1083, 3714, 7777, 1083, 623, 3898, 198960, 75408, 529, 496, 10536, 1741, 5808, 3759, 528, 67488, 827, 623, 173051, 1083, 11058, 236865, 6075, 2327, 202880, 827, 13659, 31317, 25421, 25261, 14255, 623, 26873, 1083, 3714, 3250, 1083, 623, 236780, 77332, 569, 2137, 8624, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 31040, 1083, 623, 18939, 10333, 6441, 1162, 39097, 1289, 827, 623, 26873, 236779, 547, 1083, 623, 97615, 236810, 236810, 236819, 236770, 236775, 5237, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236812, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236778, 236764, 623, 158076, 1083, 236743, 236800, 236771, 236812, 236764, 623, 177142, 1083, 236743, 236778, 236770, 236832, 236771, 1263, 623, 213002, 1083, 3714, 2451, 236779, 236810, 236812, 236771, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236770, 236771, 236828, 236771, 236761, 2720, 236812, 827, 623, 2451, 236779, 236832, 236778, 236771, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236832, 236778, 236771, 236761, 2720, 236812, 827, 623, 19001, 1083, 236743, 236810, 236828, 1263, 623, 75884, 1083, 3714, 3991, 236779, 13486, 1083, 623, 2094, 83918, 12076, 24947, 531, 1041, 6114, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236819, 236819, 827, 623, 46858, 236779, 1543, 616, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 95605, 236779, 4720, 1083, 236743, 236832, 236828, 236761, 236778, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 547, 1083, 623, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 827, 623, 4818, 1083, 623, 5034, 827, 623, 76562, 1083, 3714, 11668, 1083, 623, 6075, 2327, 9175, 16842, 827, 623, 76647, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 236764, 623, 36627, 1083, 623, 18160, 26438, 8789, 7435, 1037, 154213, 28968, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236812, 236785, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 23179, 623, 213002, 236779, 31303, 1083, 3714, 24344, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 236779, 24344, 236761, 2720, 236812, 827, 623, 11102, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 66308, 236825, 236810, 236800, 236771, 236778, 236812, 236779, 11102, 236761, 2720, 236812, 23179, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236800, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 152303, 236779, 10258, 50376, 1083, 3714, 6047, 236779, 3842, 2327, 1083, 236743, 236825, 236778, 236764, 623, 236753, 3754, 55432, 1083, 236743, 236778, 236828, 236764, 623, 65739, 1083, 236743, 236770, 236771, 5237, 623, 21052, 1083, 3714, 7777, 1083, 623, 25261, 522, 6672, 8789, 7435, 1037, 154213, 8403, 607, 1392, 1659, 89104, 62300, 236751, 621, 689, 236828, 236800, 236744, 236785, 689, 1641, 236810, 997, 6075, 2327, 202880, 997, 4974, 12901, 62300, 236751, 827, 623, 137112, 4073, 1083, 11058, 236865, 6075, 2327, 202880, 827, 13659, 4974, 12901, 62300, 236751, 827, 13659, 31317, 25421, 14255, 623, 26873, 1083, 3714, 547, 1083, 623, 97615, 236810, 236828, 236819, 236778, 827, 623, 3250, 1083, 623, 236780, 77332, 569, 2137, 8624, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 31040, 1083, 623, 18939, 10333, 6441, 569, 132846, 236785, 236756, 236771, 236771, 236744, 236770, 23179, 623, 19001, 1083, 623, 236771, 236771, 236787, 236810, 236828, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 23179, 623, 75884, 1083, 3714, 3991, 236779, 13486, 1083, 623, 2094, 4716, 786, 1063, 531, 1041, 763, 17966, 236789, 236751, 3155, 528, 54521, 2379, 236785, 236756, 236771, 236771, 524, 41218, 623, 46858, 236779, 1543, 522, 236779, 2289, 1083, 623, 236770, 236819, 236787, 236771, 236771, 236772, 236778, 236770, 236787, 236771, 236771, 2263, 990, 827, 623, 234863, 236779, 26358, 1083, 3714, 6075, 2327, 1083, 236743, 236832, 236828, 236764, 623, 18038, 1083, 236743, 236770, 236778, 236764, 623, 79932, 1083, 236743, 236810, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 65000, 1083, 78493, 547, 1083, 623, 236832, 236828, 236819, 70681, 827, 623, 3250, 1083, 623, 236780, 77332, 569, 2137, 8624, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 31040, 1083, 623, 18939, 24015, 2985, 1162, 6486, 827, 623, 10540, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 13647, 1083, 623, 6075, 2327, 827, 623, 58644, 567, 1083, 11058, 236759, 81738, 827, 623, 149649, 3509, 14255, 623, 45527, 236779, 40232, 1083, 78493, 10540, 236779, 547, 1083, 623, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 76562, 1083, 12948, 661, 507, 3173, 236779, 3842, 2327, 827, 623, 13084, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236832, 236761, 236778, 1263, 3714, 10540, 236779, 547, 1083, 623, 236847, 236825, 236832, 236828, 236819, 236771, 827, 623, 76562, 1083, 12948, 16171, 1741, 236779, 68615, 26340, 827, 623, 13084, 1083, 236743, 236825, 236832, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236825, 236761, 236828, 200808, 3714, 547, 1083, 623, 236812, 236810, 236825, 70681, 827, 623, 3250, 1083, 623, 236773, 17170, 2304, 696, 759, 646, 7673, 827, 623, 31040, 1083, 623, 71466, 738, 504, 13235, 32026, 827, 623, 10540, 236779, 2861, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 13647, 1083, 623, 6075, 2327, 827, 623, 58644, 567, 1083, 11058, 516, 4423, 827, 623, 70160, 601, 14255, 623, 45527, 236779, 40232, 1083, 78493, 10540, 236779, 547, 1083, 623, 236847, 236770, 236770, 236778, 236778, 236800, 827, 623, 76562, 1083, 12948, 601, 1358, 236779, 3842, 683, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 13084, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236810, 236761, 236819, 15947, 104960, 623, 21052, 1083, 3714, 13647, 236779, 7212, 1083, 623, 6075, 2327, 827, 623, 58043, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4874, 236779, 14423, 1083, 623, 236770, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 14971, 25890, 529, 51135, 236789, 236751, 9226, 154213, 40718, 10092, 531, 1573, 822, 3605, 236787, 108, 1018, 136971, 74850, 50647, 1018, 107, 236770, 236761, 5213, 236865, 6075, 2327, 31317, 117676, 1018, 568, 236778, 236761, 236810, 236792, 8208, 236768, 107, 139, 236772, 21657, 236787, 32462, 28917, 107, 139, 236772, 9533, 235606, 236787, 1392, 661, 507, 3173, 236779, 3842, 2327, 236764, 1392, 16171, 1741, 236779, 68615, 15698, 107, 139, 236772, 203678, 236787, 43899, 24015, 504, 3025, 89970, 108, 236778, 236761, 5213, 236865, 62300, 524, 902, 6075, 2327, 1018, 568, 236770, 236761, 236828, 236792, 8208, 236768, 107, 139, 236772, 21657, 236787, 131562, 3301, 110680, 107, 139, 236772, 9533, 235606, 236787, 1392, 236751, 17170, 2304, 236779, 906, 847, 236764, 1392, 89088, 138265, 236779, 5168, 17180, 107, 139, 236772, 203678, 236787, 26809, 1741, 12847, 97376, 108, 1018, 8534, 60977, 13768, 1018, 107, 236770, 236761, 5213, 236940, 661, 507, 3173, 236779, 3842, 2327, 1018, 568, 236828, 236778, 236767, 23073, 236768, 107, 139, 236772, 21748, 236787, 623, 236800, 7221, 236772, 2568, 3863, 36865, 39983, 28968, 236775, 107, 139, 236772, 6642, 50376, 236787, 236743, 236825, 236828, 236908, 51135, 236764, 236743, 236778, 236832, 236908, 150510, 107, 139, 236772, 8231, 11994, 32837, 236787, 107, 141, 236772, 17016, 236772, 1048, 75408, 8403, 568, 18553, 236761, 236743, 236778, 236828, 236751, 4526, 990, 236768, 107, 141, 236772, 32462, 54491, 568, 236744, 236761, 236759, 1126, 623, 4619, 75145, 236789, 236751, 18669, 31156, 1373, 107, 141, 236772, 203678, 236787, 24015, 504, 3025, 35542, 568, 236770, 236778, 236761, 236832, 236908, 15154, 236768, 108, 236778, 236761, 5213, 236940, 16171, 1741, 236779, 68615, 15698, 1018, 568, 236828, 236810, 236767, 23073, 236768, 107, 139, 236772, 128731, 1960, 2881, 107, 139, 236772, 16748, 29785, 236787, 236743, 236825, 236828, 236908, 23060, 8403, 236764, 236743, 236778, 236832, 236908, 4532, 85382, 107, 139, 236772, 43633, 63010, 236787, 236743, 236832, 236787, 236771, 236771, 236772, 236819, 236787, 236771, 236771, 8711, 2263, 990, 108, 1018, 10485, 23718, 76374, 1018, 107, 236772, 5213, 8534, 77790, 36353, 66515, 236743, 107, 138, 236772, 236743, 236771, 236787, 236771, 236771, 236772, 236771, 236787, 236770, 236771, 236787, 25735, 11918, 16913, 107, 138, 236772, 236743, 236771, 236787, 236770, 236771, 236772, 236771, 236787, 236800, 236771, 236787, 14938, 236772, 2003, 236772, 9340, 9939, 107, 138, 236772, 236743, 236771, 236787, 236800, 236771, 236772, 236771, 236787, 236812, 236810, 236787, 32462, 4403, 236786, 24251, 107, 138, 236772, 236743, 236771, 236787, 236812, 236810, 236772, 236771, 236787, 236810, 236828, 236787, 9861, 236772, 1071, 236772, 2064, 568, 236744, 236761, 236759, 1126, 623, 12345, 496, 12339, 86165, 1373, 108, 1018, 63190, 203678, 48993, 1018, 107, 236770, 236761, 5213, 54924, 504, 3025, 630, 18818, 1356, 1018, 568, 33593, 528, 236743, 236832, 236828, 236908, 529, 1903, 10103, 236768, 107, 139, 236772, 14691, 30452, 236787, 623, 2021, 6601, 569, 14402, 88074, 236775, 568, 97615, 236810, 236810, 236825, 236770, 236768, 107, 139, 236772, 63010, 54139, 236787, 900, 236778, 236800, 236908, 4398, 108, 236778, 236761, 5213, 61436, 1741, 30784, 9384, 8498, 1018, 107, 139, 236772, 47374, 27593, 236787, 236743, 236812, 236810, 236908, 17794, 607, 4532, 39161, 107, 139, 236772, 14691, 236787, 623, 236780, 77332, 569, 2137, 8624, 97763, 236775, 568, 97615, 236810, 236828, 236819, 236778, 236768, 108, 1018, 4795, 34428, 91330, 1018, 107, 236770, 236761, 5213, 66733, 87960, 1018, 107, 139, 236772, 40502, 12714, 573, 997, 6075, 2327, 31317, 117676, 1699, 6362, 504, 3025, 53063, 107, 139, 236772, 50292, 5268, 236772, 208518, 10103, 573, 997, 62300, 524, 902, 6075, 2327, 108, 236778, 236761, 5213, 10485, 23718, 33404, 1018, 107, 139, 2717, 60865, 107, 139, 236772, 46980, 236787, 3331, 1872, 10536, 1741, 5808, 3759, 16913, 568, 236771, 236787, 236771, 236771, 236772, 236771, 236787, 236771, 236828, 236768, 107, 139, 236772, 82068, 236787, 64026, 3863, 75408, 3107, 236772, 1048, 568, 236771, 236787, 236771, 236828, 236772, 236771, 236787, 236778, 236810, 236768, 107, 139, 236772, 16976, 236787, 12831, 18669, 4083, 568, 236771, 236787, 236778, 236810, 236772, 236771, 236787, 236812, 236771, 236768, 107, 139, 236772, 113968, 236787, 623, 26247, 822, 23060, 10946, 236775, 568, 236771, 236787, 236812, 236771, 236772, 236771, 236787, 236810, 236828, 236768, 107, 139, 2717, 108, 236800, 236761, 5213, 24068, 34428, 1018, 107, 139, 236772, 21264, 236787, 43899, 6362, 504, 3025, 10015, 1294, 107, 139, 236772, 43052, 236787, 13806, 1662, 10536, 1741, 232145, 568, 236770, 236810, 236908, 15295, 12277, 236768, 107, 139, 236772, 49243, 59303, 236787, 19558, 22391, 18669, 12054, 618, 10929, 9855, 6352, 108, 236812, 236761, 5213, 40282, 1812, 63010, 1018, 107, 139, 236772, 19653, 44100, 528, 997, 6075, 2327, 202880, 8319, 107, 139, 236772, 6531, 236743, 236832, 236772, 236819, 8711, 2263, 990, 568, 46858, 236743, 236825, 236828, 236908, 9998, 236768, 107, 139, 236772, 6890, 14413, 236772, 19859, 100264, 568, 80353, 236786, 27832, 236768, 108, 236810, 236761, 5213, 29698, 39461, 140604, 1018, 107, 139, 236772, 39370, 236743, 236770, 236787, 623, 236810, 179048, 529, 10013, 25421, 74309, 236775, 107, 139, 236772, 39370, 236743, 236800, 236787, 623, 32899, 25373, 34556, 41956, 57939, 236775, 107, 139, 236772, 39370, 236743, 236810, 236787, 623, 222170, 55432, 19767, 236787, 36903, 522, 46320, 141020, 236775, 108, 1018, 181673, 197076, 1018, 107, 236772, 4140, 623, 11242, 900, 28917, 236775, 32250, 10103, 107, 236772, 37868, 32529, 236772, 5863, 10969, 14062, 568, 236744, 236761, 236759, 1126, 11586, 236970, 1553, 236772, 74379, 32433, 8403, 236768, 107, 236772, 12213, 623, 21728, 529, 10013, 236775, 20875, 1699, 6672, 10015, 7365, 108, 2094, 4313, 59156, 236743, 236832, 236828, 236908, 6672, 4820, 607, 236743, 236778, 236778, 236908, 4532, 85382, 531, 29893, 15154, 1651, 39983, 58542 ]
[ 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, 10670, 13192, 1699, 506, 2165, 30718, 236779, 62327, 236779, 24471, 236929, 1292, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 10670, 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, 1, 1, 1, 1, 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, 10670, 13192, 1699, 506, 2165, 30718, 236779, 62327, 236779, 24471, 236929, 1292, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 10670, 15621, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 4981, 529, 496, 56649, 236772, 236776, 553, 95942, 28250, 2864, 573, 614, 9470, 236789, 236751, 13049, 236761, 669, 2864, 5853, 691, 3847, 618, 4769, 236935, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236761, 3199, 611, 33205, 506, 6524, 4981, 532, 1354, 573, 672, 28250, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 3709, 1083, 3714, 4764, 236779, 547, 1083, 623, 176014, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 31003, 236779, 1201, 1083, 623, 74376, 13068, 27920, 827, 623, 3842, 236779, 5640, 1083, 623, 31348, 4070, 236770, 236778, 236800, 236812, 236811, 827, 623, 125926, 95942, 236779, 21903, 1083, 1847, 236764, 623, 107996, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 30449, 236779, 547, 1083, 623, 25291, 236797, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 23179, 623, 4375, 1083, 623, 70681, 236772, 236776, 553, 95942, 58916, 28250, 7723, 10428, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 1018, 815, 1010, 10428, 52236, 236787, 108, 1018, 6717, 53121, 97888, 138, 107, 1018, 4116, 53121, 138, 107, 236772, 5213, 20735, 7343, 53121, 149294, 27920, 138, 107, 236772, 5213, 70681, 9661, 53121, 21593, 4070, 236770, 236778, 236800, 236812, 236811, 138, 107, 236772, 5213, 236776, 553, 95942, 23877, 53121, 8438, 138, 107, 236772, 5213, 87228, 6809, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236778, 42163, 138, 107, 236772, 5213, 9313, 5853, 53121, 28644, 236797, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 138, 108, 1018, 5124, 53121, 623, 70681, 236772, 236776, 553, 95942, 58916, 28250, 7723, 10428, 236775, 138, 107, 1018, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236810, 42163, 138, 108, 6481, 786, 1281, 768, 3342, 10686, 563, 4354, 236888, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 2264, 56649, 236772, 236776, 553, 95942, 28250, 2864, 573, 496, 1607, 9470, 236761, 669, 2864, 5853, 3847, 691, 4769, 236935, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236761, 3199, 611, 33205, 506, 4981, 532, 1354, 573, 672, 886, 618, 1388, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 3709, 1083, 3714, 21903, 1083, 1847, 236764, 623, 4375, 1083, 623, 70681, 532, 145068, 95942, 10428, 12809, 827, 623, 30449, 236779, 547, 1083, 623, 230935, 70681, 236778, 236771, 236778, 236810, 54283, 23179, 623, 47382, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 815, 1010, 52236, 236787, 108, 1018, 6717, 53121, 97888, 138, 107, 1018, 4116, 53121, 138, 107, 236772, 5213, 70681, 532, 145068, 95942, 23877, 53121, 8438, 138, 107, 236772, 5213, 5124, 53121, 623, 70681, 532, 145068, 95942, 10428, 12809, 236775, 138, 107, 236772, 5213, 9313, 5853, 53121, 562, 2466, 70681, 236778, 236771, 236778, 236810, 54283, 138, 107, 236772, 5213, 96300, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236770, 236810, 42163, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107, 105, 2364, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 7474, 34892, 236787, 5213, 6717, 53121, 97888, 5213, 4116, 53121, 753, 5213, 70681, 532, 145068, 95942, 23877, 53121, 8438, 753, 5213, 5124, 53121, 623, 70681, 532, 145068, 95942, 10428, 12809, 236775, 753, 5213, 9313, 5853, 53121, 562, 2466, 70681, 236778, 236771, 236778, 236810, 54283, 753, 5213, 96300, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236770, 236810, 42163, 21284, 611, 1133, 531, 16807, 496, 1607, 2864, 653, 6361, 607, 2264, 4209, 236881, 106, 107, 105, 4368, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 7474, 34892, 236787, 108, 1018, 6717, 53121, 97888, 138, 107, 1018, 4116, 53121, 138, 107, 236772, 5213, 70681, 532, 145068, 95942, 23877, 53121, 8438, 138, 107, 236772, 5213, 5124, 53121, 623, 70681, 532, 145068, 95942, 10428, 12809, 236775, 138, 107, 236772, 5213, 9313, 5853, 53121, 562, 2466, 70681, 236778, 236771, 236778, 236810, 54283, 138, 107, 236772, 5213, 96300, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236770, 236810, 42163, 138, 108, 38786, 611, 1133, 531, 16807, 496, 1607, 2864, 653, 6361, 607, 2264, 4209, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 4981, 529, 496, 56649, 236772, 236776, 553, 95942, 28250, 2864, 573, 614, 9470, 236789, 236751, 13049, 236761, 669, 2864, 5853, 691, 3847, 618, 4769, 236935, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236761, 3199, 611, 33205, 506, 6524, 4981, 532, 1354, 573, 672, 28250, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 3709, 1083, 3714, 4764, 236779, 547, 1083, 623, 176014, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 31003, 236779, 1201, 1083, 623, 74376, 13068, 27920, 827, 623, 3842, 236779, 5640, 1083, 623, 31348, 4070, 236770, 236778, 236800, 236812, 236811, 827, 623, 125926, 95942, 236779, 21903, 1083, 1847, 236764, 623, 107996, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 30449, 236779, 547, 1083, 623, 25291, 236797, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 23179, 623, 4375, 1083, 623, 70681, 236772, 236776, 553, 95942, 58916, 28250, 7723, 10428, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 1018, 815, 1010, 10428, 52236, 236787, 108, 1018, 6717, 53121, 97888, 138, 107, 1018, 4116, 53121, 138, 107, 236772, 5213, 20735, 7343, 53121, 149294, 27920, 138, 107, 236772, 5213, 70681, 9661, 53121, 21593, 4070, 236770, 236778, 236800, 236812, 236811, 138, 107, 236772, 5213, 236776, 553, 95942, 23877, 53121, 8438, 138, 107, 236772, 5213, 87228, 6809, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236778, 42163, 138, 107, 236772, 5213, 9313, 5853, 53121, 28644, 236797, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 138, 108, 1018, 5124, 53121, 623, 70681, 236772, 236776, 553, 95942, 58916, 28250, 7723, 10428, 236775, 138, 107, 1018, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236810, 42163, 138, 108, 6481, 786, 1281, 768, 3342, 10686, 563, 4354, 236888, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 2264, 56649, 236772, 236776, 553, 95942, 28250, 2864, 573, 496, 1607, 9470, 236761, 669, 2864, 5853, 3847, 691, 4769, 236935, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236761, 3199, 611, 33205, 506, 4981, 532, 1354, 573, 672, 886, 618, 1388, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 3709, 1083, 3714, 21903, 1083, 1847, 236764, 623, 4375, 1083, 623, 70681, 532, 145068, 95942, 10428, 12809, 827, 623, 30449, 236779, 547, 1083, 623, 230935, 70681, 236778, 236771, 236778, 236810, 54283, 23179, 623, 47382, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 815, 1010, 52236, 236787, 108, 1018, 6717, 53121, 97888, 138, 107, 1018, 4116, 53121, 138, 107, 236772, 5213, 70681, 532, 145068, 95942, 23877, 53121, 8438, 138, 107, 236772, 5213, 5124, 53121, 623, 70681, 532, 145068, 95942, 10428, 12809, 236775, 138, 107, 236772, 5213, 9313, 5853, 53121, 562, 2466, 70681, 236778, 236771, 236778, 236810, 54283, 138, 107, 236772, 5213, 96300, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236770, 236810, 42163, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107, 105, 2364, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 7474, 34892, 236787, 5213, 6717, 53121, 97888, 5213, 4116, 53121, 753, 5213, 70681, 532, 145068, 95942, 23877, 53121, 8438, 753, 5213, 5124, 53121, 623, 70681, 532, 145068, 95942, 10428, 12809, 236775, 753, 5213, 9313, 5853, 53121, 562, 2466, 70681, 236778, 236771, 236778, 236810, 54283, 753, 5213, 96300, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236770, 236810, 42163, 21284, 611, 1133, 531, 16807, 496, 1607, 2864, 653, 6361, 607, 2264, 4209, 236881, 106, 107, 105, 4368, 107, 818, 4981, 529, 506, 56649, 236772, 236776, 553, 95942, 28250, 2864, 5213, 176014, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 7474, 34892, 236787, 108, 1018, 6717, 53121, 97888, 138, 107, 1018, 4116, 53121, 138, 107, 236772, 5213, 70681, 532, 145068, 95942, 23877, 53121, 8438, 138, 107, 236772, 5213, 5124, 53121, 623, 70681, 532, 145068, 95942, 10428, 12809, 236775, 138, 107, 236772, 5213, 9313, 5853, 53121, 562, 2466, 70681, 236778, 236771, 236778, 236810, 54283, 138, 107, 236772, 5213, 96300, 2640, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236770, 236810, 42163, 138, 108, 38786, 611, 1133, 531, 16807, 496, 1607, 2864, 653, 6361, 607, 2264, 4209, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 740, 611, 3442, 786, 1144, 236789, 236751, 528, 506, 4668, 3124, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 235754, 1083, 11058, 18085, 2862, 9766, 78912, 827, 623, 4199, 46341, 528, 7923, 2958, 827, 623, 99078, 2352, 236787, 32034, 7419, 4354, 827, 623, 29235, 16784, 25282, 861, 73679, 827, 623, 13149, 11814, 32635, 506, 1719, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 4668, 45774, 3124, 236787, 108, 236770, 236761, 11250, 2862, 9766, 78912, 138, 107, 236778, 236761, 1799, 46341, 528, 7923, 2958, 138, 107, 236800, 236761, 32319, 2352, 236787, 32034, 7419, 4354, 138, 107, 236812, 236761, 18671, 16784, 25282, 861, 73679, 138, 107, 236810, 236761, 12263, 11814, 32635, 506, 1719, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 580, 1027, 529, 1239, 8511, 236888, 106, 107, 105, 2364, 107, 6372, 236789, 236751, 6121, 236761, 3199, 611, 4610, 786, 607, 506, 4668, 45774, 1418, 5597, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 506, 20478, 531, 10368, 53552, 12496, 653, 38059, 236761, 3153, 236764, 564, 740, 1601, 611, 2426, 506, 6524, 4668, 45774, 15501, 611, 2679, 236888, 1599, 740, 5181, 3618, 786, 1546, 5597, 607, 623, 3689, 236789, 236751, 528, 506, 4668, 3124, 7462, 532, 564, 236789, 859, 12270, 506, 6524, 45774, 573, 611, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 1601, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 740, 611, 3442, 786, 1144, 236789, 236751, 528, 506, 4668, 3124, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 235754, 1083, 11058, 18085, 2862, 9766, 78912, 827, 623, 4199, 46341, 528, 7923, 2958, 827, 623, 99078, 2352, 236787, 32034, 7419, 4354, 827, 623, 29235, 16784, 25282, 861, 73679, 827, 623, 13149, 11814, 32635, 506, 1719, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 4668, 45774, 3124, 236787, 108, 236770, 236761, 11250, 2862, 9766, 78912, 138, 107, 236778, 236761, 1799, 46341, 528, 7923, 2958, 138, 107, 236800, 236761, 32319, 2352, 236787, 32034, 7419, 4354, 138, 107, 236812, 236761, 18671, 16784, 25282, 861, 73679, 138, 107, 236810, 236761, 12263, 11814, 32635, 506, 1719, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 580, 1027, 529, 1239, 8511, 236888, 106, 107, 105, 2364, 107, 6372, 236789, 236751, 6121, 236761, 3199, 611, 4610, 786, 607, 506, 4668, 45774, 1418, 5597, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 506, 20478, 531, 10368, 53552, 12496, 653, 38059, 236761, 3153, 236764, 564, 740, 1601, 611, 2426, 506, 6524, 4668, 45774, 15501, 611, 2679, 236888, 1599, 740, 5181, 3618, 786, 1546, 5597, 607, 623, 3689, 236789, 236751, 528, 506, 4668, 3124, 7462, 532, 564, 236789, 859, 12270, 506, 6524, 45774, 573, 611, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 1601, 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, 4875, 531, 2016, 496, 4108, 2509, 4430, 573, 496, 2263, 1610, 15707, 236789, 236751, 2460, 9299, 236764, 840, 564, 236789, 236757, 4710, 1131, 1070, 4342, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 8729, 496, 26210, 4430, 573, 2165, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 236766, 236770, 236786, 716, 3684, 2020, 236929, 531, 1694, 1873, 52923, 236761, 236743, 236778, 236761, 1637, 600, 20269, 607, 496, 236743, 236812, 236771, 236812, 3165, 236764, 6253, 506, 31466, 531, 2165, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 716, 3684, 2020, 236929, 532, 117862, 236761, 236743, 236800, 236761, 9920, 2844, 236764, 1594, 625, 684, 35129, 52923, 1298, 2165, 14818, 718, 30419, 236779, 661, 34841, 532, 2165, 7125, 718, 236753, 17599, 236775, 21233, 236743, 236812, 236761, 1637, 506, 1594, 7623, 951, 2536, 236764, 17114, 506, 26210, 531, 4242, 10795, 4563, 6137, 532, 204180, 607, 2165, 7125, 718, 4966, 15995, 236775, 21233, 3792, 786, 1281, 1056, 625, 236789, 236751, 5508, 531, 1594, 607, 3892, 1262, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22700, 236779, 3970, 1083, 3714, 5521, 236779, 2451, 1083, 623, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 236766, 236770, 236786, 716, 3684, 2020, 827, 623, 34398, 1083, 3714, 2234, 1683, 3684, 2020, 1083, 3714, 2855, 236779, 8889, 1083, 623, 9850, 827, 623, 2337, 1083, 119882, 623, 19031, 1083, 3714, 14818, 1083, 623, 2383, 827, 623, 7125, 1083, 623, 2383, 23179, 623, 8358, 236779, 26514, 1083, 623, 9850, 965, 236881, 14818, 236784, 30419, 236779, 661, 236880, 7125, 236784, 236753, 17599, 236775, 5237, 623, 4818, 1083, 623, 19631, 827, 623, 52078, 1083, 623, 46603, 26210, 5132, 35129, 15858, 573, 7824, 532, 4563, 6137, 127096, 106, 107, 105, 4368, 107, 818, 26210, 4430, 815, 1010, 10428, 7835, 573, 2165, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 236766, 236770, 236786, 716, 3684, 2020, 236929, 532, 5132, 1894, 573, 35129, 684, 2165, 14818, 236929, 532, 2165, 7125, 236929, 6137, 236761, 236743, 108, 3048, 740, 1492, 1594, 625, 684, 109767, 506, 2165, 2234, 1683, 3684, 2020, 236929, 1996, 607, 236787, 107, 2717, 2855, 107, 9850, 965, 236881, 14818, 236784, 30419, 236779, 661, 236880, 7125, 236784, 236753, 17599, 107, 2717, 108, 2859, 672, 1594, 7623, 951, 2536, 236764, 611, 740, 54744, 6253, 506, 2165, 7125, 236929, 7689, 531, 211661, 4966, 15995, 34841, 2180, 193078, 506, 26210, 236764, 618, 506, 1873, 8688, 3016, 37574, 10795, 4563, 2979, 236761, 236743, 108, 38786, 611, 1133, 531, 7162, 607, 7257, 506, 26210, 1699, 506, 4068, 18774, 20442, 14818, 718, 30419, 236779, 661, 34841, 532, 2165, 7125, 718, 236753, 17599, 236775, 18833, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2016, 496, 4108, 2509, 4430, 573, 496, 2263, 1610, 15707, 236789, 236751, 2460, 9299, 236764, 840, 564, 236789, 236757, 4710, 1131, 1070, 4342, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 8729, 496, 26210, 4430, 573, 2165, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 236766, 236770, 236786, 716, 3684, 2020, 236929, 531, 1694, 1873, 52923, 236761, 236743, 236778, 236761, 1637, 600, 20269, 607, 496, 236743, 236812, 236771, 236812, 3165, 236764, 6253, 506, 31466, 531, 2165, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 716, 3684, 2020, 236929, 532, 117862, 236761, 236743, 236800, 236761, 9920, 2844, 236764, 1594, 625, 684, 35129, 52923, 1298, 2165, 14818, 718, 30419, 236779, 661, 34841, 532, 2165, 7125, 718, 236753, 17599, 236775, 21233, 236743, 236812, 236761, 1637, 506, 1594, 7623, 951, 2536, 236764, 17114, 506, 26210, 531, 4242, 10795, 4563, 6137, 532, 204180, 607, 2165, 7125, 718, 4966, 15995, 236775, 21233, 3792, 786, 1281, 1056, 625, 236789, 236751, 5508, 531, 1594, 607, 3892, 1262, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22700, 236779, 3970, 1083, 3714, 5521, 236779, 2451, 1083, 623, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 236766, 236770, 236786, 716, 3684, 2020, 827, 623, 34398, 1083, 3714, 2234, 1683, 3684, 2020, 1083, 3714, 2855, 236779, 8889, 1083, 623, 9850, 827, 623, 2337, 1083, 119882, 623, 19031, 1083, 3714, 14818, 1083, 623, 2383, 827, 623, 7125, 1083, 623, 2383, 23179, 623, 8358, 236779, 26514, 1083, 623, 9850, 965, 236881, 14818, 236784, 30419, 236779, 661, 236880, 7125, 236784, 236753, 17599, 236775, 5237, 623, 4818, 1083, 623, 19631, 827, 623, 52078, 1083, 623, 46603, 26210, 5132, 35129, 15858, 573, 7824, 532, 4563, 6137, 127096, 106, 107, 105, 4368, 107, 818, 26210, 4430, 815, 1010, 10428, 7835, 573, 2165, 2574, 1411, 236758, 687, 16927, 661, 236761, 26781, 236786, 3677, 236786, 236766, 236770, 236786, 716, 3684, 2020, 236929, 532, 5132, 1894, 573, 35129, 684, 2165, 14818, 236929, 532, 2165, 7125, 236929, 6137, 236761, 236743, 108, 3048, 740, 1492, 1594, 625, 684, 109767, 506, 2165, 2234, 1683, 3684, 2020, 236929, 1996, 607, 236787, 107, 2717, 2855, 107, 9850, 965, 236881, 14818, 236784, 30419, 236779, 661, 236880, 7125, 236784, 236753, 17599, 107, 2717, 108, 2859, 672, 1594, 7623, 951, 2536, 236764, 611, 740, 54744, 6253, 506, 2165, 7125, 236929, 7689, 531, 211661, 4966, 15995, 34841, 2180, 193078, 506, 26210, 236764, 618, 506, 1873, 8688, 3016, 37574, 10795, 4563, 2979, 236761, 236743, 108, 38786, 611, 1133, 531, 7162, 607, 7257, 506, 26210, 1699, 506, 4068, 18774, 20442, 14818, 718, 30419, 236779, 661, 34841, 532, 2165, 7125, 718, 236753, 17599, 236775, 18833, 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, 611, 531, 18840, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 6863, 22039, 13291, 532, 506, 36732, 12510, 2590, 22682, 833, 75826, 13291, 1024, 506, 3068, 3493, 1518, 236761, 3551, 8705, 532, 564, 659, 11337, 21494, 1023, 37543, 49115, 1131, 496, 1944, 44367, 1960, 236764, 532, 564, 1461, 531, 3050, 1217, 5527, 15067, 2473, 4208, 5056, 573, 6485, 532, 2033, 11531, 236761, 28344, 611, 33205, 600, 1262, 532, 8357, 1027, 28594, 9935, 653, 38317, 1534, 1239, 13390, 236881, 106, 107, 105, 4368, 107, 236777, 57428, 236764, 840, 1308, 35329, 506, 2487, 6436, 236764, 564, 740, 236789, 236745, 5467, 33205, 1262, 573, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 6863, 22039, 13291, 653, 506, 36732, 12510, 2590, 22682, 833, 75826, 13291, 236761, 669, 5904, 564, 735, 2802, 531, 1186, 12765, 6674, 2436, 22697, 1133, 11446, 236917, 568, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 779, 178502, 568, 68069, 12510, 779, 532, 3496, 9456, 528, 506, 6137, 236761, 108, 9675, 236764, 692, 1451, 14846, 1161, 506, 25898, 2436, 22697, 618, 109000, 531, 11327, 2870, 5527, 15067, 600, 2473, 41514, 23194, 531, 1239, 18597, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 11446, 236917, 568, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 236768, 532, 178502, 568, 68069, 12510, 236768, 1262, 573, 506, 3068, 236743, 236810, 1518, 618, 496, 6250, 1523, 236881, 107, 236778, 236761, 30235, 580, 3530, 28594, 9935, 528, 2033, 5431, 236786, 13692, 653, 15078, 22044, 600, 2473, 1573, 44367, 5056, 236881, 108, 9366, 1531, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 653, 768, 611, 236789, 236753, 1133, 496, 1607, 4313, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 5086, 236743, 236770, 753, 33205, 506, 11446, 236917, 532, 178502, 1262, 573, 506, 3068, 236743, 236810, 1518, 236761, 5978, 1239, 10050, 236789, 236745, 7095, 236772, 15396, 236764, 564, 236789, 236757, 23210, 531, 1460, 768, 25898, 5527, 15067, 2473, 2036, 10128, 9935, 7798, 531, 1944, 2033, 11531, 5699, 532, 49115, 236761, 4210, 35329, 600, 1262, 236764, 8229, 692, 1451, 1385, 657, 3530, 28594, 9935, 528, 2033, 5431, 4588, 600, 2473, 7630, 44367, 5056, 236764, 1581, 2180, 506, 4453, 22697, 236761, 564, 236789, 236753, 1133, 531, 1460, 768, 993, 236789, 236751, 1027, 14824, 1534, 2870, 5527, 22044, 532, 3435, 11713, 2142, 528, 49115, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2662, 236779, 1516, 1083, 3714, 2662, 236779, 22037, 1083, 623, 6120, 236917, 827, 623, 1516, 236779, 2084, 1083, 623, 9707, 827, 623, 32248, 1083, 623, 71832, 827, 623, 2289, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 1516, 236779, 11116, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236832, 236832, 236810, 236761, 236825, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236832, 236771, 236770, 236761, 236810, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236812, 236800, 236778, 236828, 236761, 236828, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236812, 236778, 236828, 236810, 236761, 236800, 236828, 104960, 623, 21052, 1083, 3714, 27617, 1083, 623, 38556, 827, 623, 236287, 1083, 623, 79442, 827, 623, 6265, 1083, 623, 236773, 236880, 236791, 11250, 12726, 28243, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 2662, 236779, 22037, 1083, 623, 43793, 236777, 827, 107, 138, 236775, 1516, 236779, 2084, 1083, 623, 9707, 827, 107, 138, 236775, 32248, 1083, 623, 71832, 827, 107, 138, 236775, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 107, 138, 236775, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 107, 138, 236775, 1516, 236779, 11116, 1083, 870, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236810, 236819, 236828, 236819, 236761, 236800, 236771, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236810, 236812, 236825, 236778, 236761, 236810, 236828, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236812, 236812, 236819, 236825, 236761, 236825, 236832, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236825, 236800, 236800, 236812, 236761, 236770, 236825, 1263, 107, 140, 715, 3729, 568, 33686, 13822, 1262, 3298, 236768, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236812, 236800, 236812, 236832, 236761, 236810, 236778, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236800, 236828, 236800, 236825, 236761, 236819, 236819, 236783, 107, 138, 1604, 107, 138, 236775, 27617, 1083, 623, 38556, 827, 107, 138, 236775, 6265, 1083, 623, 68069, 12510, 12726, 5774, 827, 107, 138, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 107, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 568, 6120, 236917, 236768, 532, 36732, 12510, 568, 43793, 236777, 236768, 1024, 506, 3068, 3493, 1518, 236787, 108, 1018, 3503, 73022, 53121, 107, 236770, 236761, 5213, 33062, 26608, 48993, 53121, 107, 139, 236772, 11446, 236917, 4869, 236743, 236810, 236812, 236908, 699, 236743, 236778, 236764, 236832, 236832, 236810, 568, 20123, 236743, 236778, 236771, 236770, 236828, 236768, 531, 236743, 236812, 236764, 236778, 236828, 236810, 568, 20123, 236743, 236778, 236771, 236778, 236800, 236768, 107, 139, 236772, 178502, 4869, 236743, 236800, 236771, 236908, 699, 236743, 236778, 236810, 236764, 236819, 236828, 236819, 568, 20123, 236743, 236778, 236771, 236770, 236828, 236768, 531, 236743, 236800, 236800, 236764, 236828, 236800, 236832, 568, 20123, 236743, 236778, 236771, 236778, 236800, 236768, 107, 139, 236772, 10508, 22697, 6418, 3629, 43866, 1913, 506, 10248, 568, 9585, 236772, 66385, 236743, 236778, 236771, 236778, 236771, 76628, 236768, 108, 236778, 236761, 5213, 184402, 72627, 53121, 107, 139, 236772, 5978, 36289, 1262, 11649, 55290, 23304, 236764, 1800, 22697, 6316, 531, 236787, 107, 141, 236772, 168374, 8427, 528, 6198, 568, 16350, 165574, 3759, 236768, 107, 141, 236772, 8754, 15281, 22656, 528, 6243, 236772, 36471, 568, 100328, 28708, 1763, 236768, 107, 141, 236772, 20369, 4869, 43866, 1913, 6247, 3794, 568, 27393, 236772, 12055, 236768, 108, 236800, 236761, 5213, 131426, 53121, 107, 139, 236772, 27717, 4414, 14824, 568, 236771, 236761, 236828, 236810, 236862, 41063, 236768, 1534, 11446, 236917, 532, 178502, 107, 139, 236772, 10508, 21889, 24977, 531, 97273, 4749, 568, 236744, 236761, 236759, 1126, 10248, 19592, 236764, 14440, 2846, 236768, 108, 1018, 75718, 17605, 573, 166858, 236786, 236797, 203591, 7449, 53121, 107, 236772, 5213, 48084, 144246, 53121, 107, 138, 236772, 236743, 236810, 236812, 236908, 11446, 236917, 3877, 12205, 1440, 236772, 6061, 5527, 10534, 107, 138, 236772, 27790, 9857, 568, 7650, 4087, 607, 11446, 236917, 236768, 4869, 236743, 236778, 236800, 236908, 2338, 236743, 236778, 236771, 236770, 236828, 568, 181421, 18445, 1262, 236768, 107, 138, 236772, 93508, 236772, 27612, 49115, 31111, 568, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236770, 236768, 119501, 607, 2436, 43866, 108, 236772, 5213, 99510, 2357, 531, 26295, 53121, 107, 138, 236772, 34980, 236743, 236812, 236908, 11446, 236917, 16670, 568, 24683, 236772, 20123, 236743, 236778, 236771, 236778, 236800, 236768, 12853, 15213, 2142, 6224, 107, 138, 236772, 178502, 236789, 236751, 236743, 236770, 236761, 236810, 236908, 217816, 3877, 2338, 236743, 236778, 236771, 236770, 236828, 99146, 11446, 236917, 753, 12205, 28012, 528, 8459, 18597, 107, 138, 236772, 80992, 236772, 79442, 7623, 1407, 919, 93240, 3877, 568, 4002, 66327, 2578, 236800, 236761, 236778, 11376, 108, 1018, 9272, 50228, 573, 13768, 53121, 107, 236770, 236761, 18975, 564, 17318, 13822, 165574, 9935, 528, 2033, 5431, 22779, 568, 41928, 1660, 1607, 1262, 3738, 20625, 107, 236778, 236761, 21284, 611, 1133, 786, 531, 10769, 1239, 15067, 607, 3530, 49115, 236772, 10619, 25268, 568, 236744, 236761, 236759, 1126, 28826, 833, 7972, 10002, 5886, 20625, 107, 236800, 236761, 18975, 692, 18840, 8330, 25268, 568, 41831, 52916, 236764, 171698, 236768, 573, 3435, 2436, 21238, 14139, 236881, 108, 818, 1262, 12205, 2870, 5527, 10534, 1024, 506, 3068, 3493, 1518, 236764, 607, 24786, 28594, 9935, 2101, 1051, 236772, 643, 236761, 3153, 236764, 4803, 43866, 532, 2142, 3136, 19262, 1149, 4100, 11713, 11704, 580, 49115, 5699, 236761, 21284, 611, 1133, 531, 3213, 580, 3530, 10217, 529, 1239, 15067, 236881, 106, 107, 105, 2364, 107, 30092, 611, 18840, 8330, 25268, 573, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 532, 36732, 12510, 22697, 531, 8701, 3435, 2436, 21238, 14139, 236881, 39799, 236764, 564, 236789, 236753, 1133, 531, 1460, 6049, 52916, 568, 236810, 236771, 236772, 1496, 532, 236743, 236778, 236771, 236771, 236772, 1496, 236768, 532, 171698, 568, 55751, 61807, 13291, 236768, 573, 1800, 22697, 1024, 506, 3068, 1051, 236761, 1174, 2473, 1601, 786, 3050, 3363, 1873, 5527, 3439, 659, 27661, 573, 6250, 496, 1944, 44367, 1960, 19240, 531, 2033, 11531, 15067, 236761, 2088, 1093, 1239, 25268, 3600, 506, 2436, 563, 32848, 573, 11713, 86125, 11704, 1133, 49115, 5699, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2662, 236779, 1516, 1083, 3714, 2662, 236779, 22037, 1083, 623, 6120, 236917, 827, 623, 1516, 236779, 2084, 1083, 623, 79205, 236779, 202685, 827, 623, 2289, 236779, 8572, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 32248, 1083, 623, 32320, 827, 623, 79205, 236779, 202685, 1083, 3714, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 3714, 27083, 236779, 2394, 1083, 236743, 236812, 236778, 236810, 236828, 236761, 236800, 236832, 236764, 623, 58043, 1083, 623, 1048, 1476, 827, 623, 236755, 41021, 236779, 33786, 1083, 623, 45747, 1044, 23179, 623, 236778, 236771, 236771, 236779, 1496, 1083, 3714, 27083, 236779, 2394, 1083, 236743, 236800, 236819, 236828, 236778, 236761, 236770, 236812, 236764, 623, 58043, 1083, 623, 45258, 827, 623, 3473, 236779, 30226, 236779, 1071, 236779, 9707, 1083, 623, 60096, 236775, 5237, 623, 212483, 1083, 3714, 236770, 236812, 236779, 1496, 1083, 3714, 27083, 236779, 2394, 1083, 236743, 236810, 236828, 236761, 236825, 236764, 623, 19216, 1083, 623, 45258, 827, 623, 127669, 12279, 236779, 121774, 1083, 2416, 112679, 623, 28263, 236779, 6011, 1083, 3714, 16350, 236779, 105227, 236779, 33786, 1083, 623, 114292, 236779, 20786, 827, 623, 59959, 236779, 2763, 19665, 835, 236779, 187301, 1083, 623, 30558, 827, 623, 58578, 236779, 8318, 1083, 236743, 236832, 236828, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 2662, 236779, 1516, 1083, 3714, 2662, 236779, 22037, 1083, 623, 43793, 236777, 827, 623, 1516, 236779, 2084, 1083, 623, 79205, 236779, 202685, 827, 623, 32248, 1083, 623, 32320, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 202685, 1083, 3714, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 3714, 7558, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236778, 236810, 236812, 236771, 236761, 236778, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 2394, 1083, 236743, 236800, 236778, 236812, 236828, 236819, 236761, 236832, 236825, 200808, 623, 236778, 236771, 236771, 236779, 1496, 1083, 3714, 7558, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236770, 236828, 236832, 236810, 236761, 236812, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 2394, 1083, 236743, 236800, 236770, 236828, 236778, 236778, 236761, 236770, 236770, 15947, 5237, 623, 212483, 1083, 3714, 236770, 236812, 236779, 1496, 1083, 3714, 7558, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236810, 236828, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 2394, 1083, 236743, 236825, 236770, 236761, 236778, 15947, 1807, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8330, 3671, 529, 555, 236880, 236791, 236743, 236810, 236771, 236771, 532, 36732, 12510, 22697, 573, 2436, 21238, 14139, 7798, 531, 11713, 86125, 11704, 236787, 108, 1018, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 568, 6120, 236917, 236768, 22202, 111355, 53121, 107, 236772, 5213, 38793, 562, 42511, 53121, 138, 107, 138, 236772, 236743, 236810, 236771, 236772, 1496, 7883, 236787, 236743, 236812, 236764, 236778, 236810, 236828, 568, 1048, 1476, 7003, 236764, 82838, 48053, 607, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236768, 138, 107, 138, 236772, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236787, 236743, 236800, 236764, 236819, 236828, 236778, 568, 45258, 7003, 236764, 5633, 3426, 3385, 236768, 138, 107, 138, 236772, 808, 53159, 149681, 623, 48496, 12713, 236775, 3759, 568, 45747, 1044, 14700, 236768, 10778, 528, 5226, 236743, 236778, 236771, 236778, 236800, 138, 108, 236772, 5213, 236794, 5491, 568, 236770, 236812, 236772, 1496, 1473, 1018, 138, 107, 138, 236772, 14040, 1550, 236787, 236743, 236810, 236828, 236761, 236825, 568, 45258, 18022, 236764, 951, 1024, 109158, 236786, 34106, 947, 3439, 236768, 138, 107, 138, 236772, 2301, 53326, 13207, 1534, 3385, 532, 14700, 138, 108, 236772, 5213, 40219, 121722, 42746, 53121, 138, 107, 138, 236772, 5213, 38168, 3725, 19665, 835, 42746, 53121, 44771, 568, 58578, 6317, 236787, 236743, 236832, 236828, 236786, 236770, 236771, 236771, 236768, 138, 107, 138, 236772, 12726, 32848, 573, 21037, 3877, 607, 2708, 43866, 4652, 138, 108, 1018, 68069, 12510, 568, 43793, 236777, 236768, 22202, 111355, 53121, 138, 107, 236772, 5213, 38793, 562, 42511, 53121, 138, 107, 138, 236772, 236743, 236810, 236771, 236772, 1496, 7883, 236787, 236743, 236800, 236778, 236764, 236810, 236812, 236771, 568, 174991, 31097, 236764, 5569, 24508, 2787, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236768, 138, 107, 138, 236772, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236787, 236743, 236800, 236770, 236764, 236828, 236832, 236810, 568, 18121, 7003, 236764, 1492, 3426, 3385, 236768, 138, 108, 236772, 5213, 236794, 5491, 568, 236770, 236812, 236772, 1496, 1473, 1018, 138, 107, 138, 236772, 14040, 1550, 236787, 236743, 236810, 236828, 236761, 236800, 568, 45258, 236764, 1679, 699, 1024, 109158, 236743, 236825, 236770, 236761, 236778, 580, 4905, 236743, 236770, 236812, 236768, 138, 107, 138, 236772, 104036, 130750, 14700, 528, 4803, 2668, 138, 108, 1018, 3503, 12774, 50914, 573, 166858, 236786, 236797, 203591, 7449, 53121, 138, 107, 236770, 236761, 5213, 236811, 66174, 12726, 32288, 53121, 138, 107, 139, 236772, 10508, 22697, 1407, 82838, 224368, 568, 236810, 236771, 236772, 1496, 1890, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 779, 22169, 31097, 14700, 138, 107, 139, 236772, 171698, 12643, 4535, 10128, 2978, 573, 7245, 3877, 2180, 13258, 19830, 4652, 138, 108, 236778, 236761, 5213, 38168, 109555, 38430, 53121, 138, 107, 139, 236772, 555, 236880, 236791, 236743, 236810, 236771, 236771, 236789, 236751, 623, 114292, 3717, 236775, 6953, 88435, 607, 4414, 11713, 86125, 11704, 15067, 138, 107, 139, 236772, 34641, 1262, 3831, 236743, 236770, 236778, 236772, 236770, 236810, 236908, 4398, 7384, 3877, 528, 28826, 236786, 45312, 10002, 5886, 1913, 3361, 2436, 19401, 138, 108, 236800, 236761, 5213, 99510, 2357, 531, 26295, 53121, 138, 107, 139, 236772, 178502, 236789, 236751, 4803, 171698, 16670, 568, 236825, 236770, 236761, 236778, 16130, 236743, 236810, 236828, 236761, 236800, 236768, 12205, 6495, 87629, 528, 8459, 236786, 59959, 18597, 138, 107, 139, 236772, 66399, 236743, 236770, 236771, 236772, 3704, 33108, 15741, 568, 236812, 236761, 236800, 236908, 618, 529, 4905, 236743, 236778, 236771, 236778, 236800, 236768, 1149, 4204, 86125, 11704, 768, 23226, 138, 108, 236812, 236761, 5213, 184402, 121722, 98964, 53121, 138, 107, 139, 236772, 27717, 11858, 3736, 699, 6243, 236772, 27393, 568, 6120, 236917, 52916, 900, 236832, 236908, 1366, 236812, 7623, 236768, 12765, 3798, 236786, 57750, 1960, 6995, 138, 107, 139, 236772, 39874, 3262, 29080, 17461, 1913, 3435, 2436, 43866, 13443, 568, 236744, 236761, 236759, 1126, 6384, 3869, 236772, 10558, 45248, 4771, 236768, 138, 108, 1018, 211199, 53121, 138, 107, 818, 8330, 25268, 3600, 5213, 153175, 2295, 27661, 3439, 1018, 531, 3654, 44367, 6995, 568, 236935, 236812, 236743, 236778, 236771, 236778, 236800, 779, 607, 236787, 138, 107, 236772, 30235, 580, 29811, 236772, 36954, 6485, 568, 7341, 236751, 607, 236743, 236778, 236771, 236778, 236800, 10022, 15067, 236768, 138, 107, 236772, 52761, 90670, 51422, 531, 6384, 3385, 111119, 568, 124977, 236743, 236810, 236772, 236828, 236908, 4398, 11446, 236917, 43866, 528, 3901, 236768, 138, 107, 236772, 18508, 24742, 32769, 607, 1868, 236772, 100328, 2033, 11531, 3409, 568, 36302, 236772, 37207, 236768, 138, 108, 38786, 611, 1133, 786, 531, 4071, 236772, 30449, 1239, 12396, 607, 11132, 2436, 1262, 568, 236744, 236761, 236759, 1126, 2033, 16960, 15067, 236764, 5431, 22779, 236768, 531, 59638, 21238, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 18840, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 6863, 22039, 13291, 532, 506, 36732, 12510, 2590, 22682, 833, 75826, 13291, 1024, 506, 3068, 3493, 1518, 236761, 3551, 8705, 532, 564, 659, 11337, 21494, 1023, 37543, 49115, 1131, 496, 1944, 44367, 1960, 236764, 532, 564, 1461, 531, 3050, 1217, 5527, 15067, 2473, 4208, 5056, 573, 6485, 532, 2033, 11531, 236761, 28344, 611, 33205, 600, 1262, 532, 8357, 1027, 28594, 9935, 653, 38317, 1534, 1239, 13390, 236881, 106, 107, 105, 4368, 107, 236777, 57428, 236764, 840, 1308, 35329, 506, 2487, 6436, 236764, 564, 740, 236789, 236745, 5467, 33205, 1262, 573, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 6863, 22039, 13291, 653, 506, 36732, 12510, 2590, 22682, 833, 75826, 13291, 236761, 669, 5904, 564, 735, 2802, 531, 1186, 12765, 6674, 2436, 22697, 1133, 11446, 236917, 568, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 779, 178502, 568, 68069, 12510, 779, 532, 3496, 9456, 528, 506, 6137, 236761, 108, 9675, 236764, 692, 1451, 14846, 1161, 506, 25898, 2436, 22697, 618, 109000, 531, 11327, 2870, 5527, 15067, 600, 2473, 41514, 23194, 531, 1239, 18597, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 11446, 236917, 568, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 236768, 532, 178502, 568, 68069, 12510, 236768, 1262, 573, 506, 3068, 236743, 236810, 1518, 618, 496, 6250, 1523, 236881, 107, 236778, 236761, 30235, 580, 3530, 28594, 9935, 528, 2033, 5431, 236786, 13692, 653, 15078, 22044, 600, 2473, 1573, 44367, 5056, 236881, 108, 9366, 1531, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 653, 768, 611, 236789, 236753, 1133, 496, 1607, 4313, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 5086, 236743, 236770, 753, 33205, 506, 11446, 236917, 532, 178502, 1262, 573, 506, 3068, 236743, 236810, 1518, 236761, 5978, 1239, 10050, 236789, 236745, 7095, 236772, 15396, 236764, 564, 236789, 236757, 23210, 531, 1460, 768, 25898, 5527, 15067, 2473, 2036, 10128, 9935, 7798, 531, 1944, 2033, 11531, 5699, 532, 49115, 236761, 4210, 35329, 600, 1262, 236764, 8229, 692, 1451, 1385, 657, 3530, 28594, 9935, 528, 2033, 5431, 4588, 600, 2473, 7630, 44367, 5056, 236764, 1581, 2180, 506, 4453, 22697, 236761, 564, 236789, 236753, 1133, 531, 1460, 768, 993, 236789, 236751, 1027, 14824, 1534, 2870, 5527, 22044, 532, 3435, 11713, 2142, 528, 49115, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2662, 236779, 1516, 1083, 3714, 2662, 236779, 22037, 1083, 623, 6120, 236917, 827, 623, 1516, 236779, 2084, 1083, 623, 9707, 827, 623, 32248, 1083, 623, 71832, 827, 623, 2289, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 1516, 236779, 11116, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236832, 236832, 236810, 236761, 236825, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236832, 236771, 236770, 236761, 236810, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236812, 236800, 236778, 236828, 236761, 236828, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236812, 236778, 236828, 236810, 236761, 236800, 236828, 104960, 623, 21052, 1083, 3714, 27617, 1083, 623, 38556, 827, 623, 236287, 1083, 623, 79442, 827, 623, 6265, 1083, 623, 236773, 236880, 236791, 11250, 12726, 28243, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 2662, 236779, 22037, 1083, 623, 43793, 236777, 827, 107, 138, 236775, 1516, 236779, 2084, 1083, 623, 9707, 827, 107, 138, 236775, 32248, 1083, 623, 71832, 827, 107, 138, 236775, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 107, 138, 236775, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 107, 138, 236775, 1516, 236779, 11116, 1083, 870, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236810, 236819, 236828, 236819, 236761, 236800, 236771, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236810, 236812, 236825, 236778, 236761, 236810, 236828, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236812, 236812, 236819, 236825, 236761, 236825, 236832, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236778, 236825, 236800, 236800, 236812, 236761, 236770, 236825, 1263, 107, 140, 715, 3729, 568, 33686, 13822, 1262, 3298, 236768, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236812, 236800, 236812, 236832, 236761, 236810, 236778, 1263, 107, 140, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236800, 236828, 236800, 236825, 236761, 236819, 236819, 236783, 107, 138, 1604, 107, 138, 236775, 27617, 1083, 623, 38556, 827, 107, 138, 236775, 6265, 1083, 623, 68069, 12510, 12726, 5774, 827, 107, 138, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 107, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 568, 6120, 236917, 236768, 532, 36732, 12510, 568, 43793, 236777, 236768, 1024, 506, 3068, 3493, 1518, 236787, 108, 1018, 3503, 73022, 53121, 107, 236770, 236761, 5213, 33062, 26608, 48993, 53121, 107, 139, 236772, 11446, 236917, 4869, 236743, 236810, 236812, 236908, 699, 236743, 236778, 236764, 236832, 236832, 236810, 568, 20123, 236743, 236778, 236771, 236770, 236828, 236768, 531, 236743, 236812, 236764, 236778, 236828, 236810, 568, 20123, 236743, 236778, 236771, 236778, 236800, 236768, 107, 139, 236772, 178502, 4869, 236743, 236800, 236771, 236908, 699, 236743, 236778, 236810, 236764, 236819, 236828, 236819, 568, 20123, 236743, 236778, 236771, 236770, 236828, 236768, 531, 236743, 236800, 236800, 236764, 236828, 236800, 236832, 568, 20123, 236743, 236778, 236771, 236778, 236800, 236768, 107, 139, 236772, 10508, 22697, 6418, 3629, 43866, 1913, 506, 10248, 568, 9585, 236772, 66385, 236743, 236778, 236771, 236778, 236771, 76628, 236768, 108, 236778, 236761, 5213, 184402, 72627, 53121, 107, 139, 236772, 5978, 36289, 1262, 11649, 55290, 23304, 236764, 1800, 22697, 6316, 531, 236787, 107, 141, 236772, 168374, 8427, 528, 6198, 568, 16350, 165574, 3759, 236768, 107, 141, 236772, 8754, 15281, 22656, 528, 6243, 236772, 36471, 568, 100328, 28708, 1763, 236768, 107, 141, 236772, 20369, 4869, 43866, 1913, 6247, 3794, 568, 27393, 236772, 12055, 236768, 108, 236800, 236761, 5213, 131426, 53121, 107, 139, 236772, 27717, 4414, 14824, 568, 236771, 236761, 236828, 236810, 236862, 41063, 236768, 1534, 11446, 236917, 532, 178502, 107, 139, 236772, 10508, 21889, 24977, 531, 97273, 4749, 568, 236744, 236761, 236759, 1126, 10248, 19592, 236764, 14440, 2846, 236768, 108, 1018, 75718, 17605, 573, 166858, 236786, 236797, 203591, 7449, 53121, 107, 236772, 5213, 48084, 144246, 53121, 107, 138, 236772, 236743, 236810, 236812, 236908, 11446, 236917, 3877, 12205, 1440, 236772, 6061, 5527, 10534, 107, 138, 236772, 27790, 9857, 568, 7650, 4087, 607, 11446, 236917, 236768, 4869, 236743, 236778, 236800, 236908, 2338, 236743, 236778, 236771, 236770, 236828, 568, 181421, 18445, 1262, 236768, 107, 138, 236772, 93508, 236772, 27612, 49115, 31111, 568, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236770, 236768, 119501, 607, 2436, 43866, 108, 236772, 5213, 99510, 2357, 531, 26295, 53121, 107, 138, 236772, 34980, 236743, 236812, 236908, 11446, 236917, 16670, 568, 24683, 236772, 20123, 236743, 236778, 236771, 236778, 236800, 236768, 12853, 15213, 2142, 6224, 107, 138, 236772, 178502, 236789, 236751, 236743, 236770, 236761, 236810, 236908, 217816, 3877, 2338, 236743, 236778, 236771, 236770, 236828, 99146, 11446, 236917, 753, 12205, 28012, 528, 8459, 18597, 107, 138, 236772, 80992, 236772, 79442, 7623, 1407, 919, 93240, 3877, 568, 4002, 66327, 2578, 236800, 236761, 236778, 11376, 108, 1018, 9272, 50228, 573, 13768, 53121, 107, 236770, 236761, 18975, 564, 17318, 13822, 165574, 9935, 528, 2033, 5431, 22779, 568, 41928, 1660, 1607, 1262, 3738, 20625, 107, 236778, 236761, 21284, 611, 1133, 786, 531, 10769, 1239, 15067, 607, 3530, 49115, 236772, 10619, 25268, 568, 236744, 236761, 236759, 1126, 28826, 833, 7972, 10002, 5886, 20625, 107, 236800, 236761, 18975, 692, 18840, 8330, 25268, 568, 41831, 52916, 236764, 171698, 236768, 573, 3435, 2436, 21238, 14139, 236881, 108, 818, 1262, 12205, 2870, 5527, 10534, 1024, 506, 3068, 3493, 1518, 236764, 607, 24786, 28594, 9935, 2101, 1051, 236772, 643, 236761, 3153, 236764, 4803, 43866, 532, 2142, 3136, 19262, 1149, 4100, 11713, 11704, 580, 49115, 5699, 236761, 21284, 611, 1133, 531, 3213, 580, 3530, 10217, 529, 1239, 15067, 236881, 106, 107, 105, 2364, 107, 30092, 611, 18840, 8330, 25268, 573, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 532, 36732, 12510, 22697, 531, 8701, 3435, 2436, 21238, 14139, 236881, 39799, 236764, 564, 236789, 236753, 1133, 531, 1460, 6049, 52916, 568, 236810, 236771, 236772, 1496, 532, 236743, 236778, 236771, 236771, 236772, 1496, 236768, 532, 171698, 568, 55751, 61807, 13291, 236768, 573, 1800, 22697, 1024, 506, 3068, 1051, 236761, 1174, 2473, 1601, 786, 3050, 3363, 1873, 5527, 3439, 659, 27661, 573, 6250, 496, 1944, 44367, 1960, 19240, 531, 2033, 11531, 15067, 236761, 2088, 1093, 1239, 25268, 3600, 506, 2436, 563, 32848, 573, 11713, 86125, 11704, 1133, 49115, 5699, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2662, 236779, 1516, 1083, 3714, 2662, 236779, 22037, 1083, 623, 6120, 236917, 827, 623, 1516, 236779, 2084, 1083, 623, 79205, 236779, 202685, 827, 623, 2289, 236779, 8572, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 32248, 1083, 623, 32320, 827, 623, 79205, 236779, 202685, 1083, 3714, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 3714, 27083, 236779, 2394, 1083, 236743, 236812, 236778, 236810, 236828, 236761, 236800, 236832, 236764, 623, 58043, 1083, 623, 1048, 1476, 827, 623, 236755, 41021, 236779, 33786, 1083, 623, 45747, 1044, 23179, 623, 236778, 236771, 236771, 236779, 1496, 1083, 3714, 27083, 236779, 2394, 1083, 236743, 236800, 236819, 236828, 236778, 236761, 236770, 236812, 236764, 623, 58043, 1083, 623, 45258, 827, 623, 3473, 236779, 30226, 236779, 1071, 236779, 9707, 1083, 623, 60096, 236775, 5237, 623, 212483, 1083, 3714, 236770, 236812, 236779, 1496, 1083, 3714, 27083, 236779, 2394, 1083, 236743, 236810, 236828, 236761, 236825, 236764, 623, 19216, 1083, 623, 45258, 827, 623, 127669, 12279, 236779, 121774, 1083, 2416, 112679, 623, 28263, 236779, 6011, 1083, 3714, 16350, 236779, 105227, 236779, 33786, 1083, 623, 114292, 236779, 20786, 827, 623, 59959, 236779, 2763, 19665, 835, 236779, 187301, 1083, 623, 30558, 827, 623, 58578, 236779, 8318, 1083, 236743, 236832, 236828, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 2662, 236779, 1516, 1083, 3714, 2662, 236779, 22037, 1083, 623, 43793, 236777, 827, 623, 1516, 236779, 2084, 1083, 623, 79205, 236779, 202685, 827, 623, 32248, 1083, 623, 32320, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 202685, 1083, 3714, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 3714, 7558, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236778, 236810, 236812, 236771, 236761, 236778, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 2394, 1083, 236743, 236800, 236778, 236812, 236828, 236819, 236761, 236832, 236825, 200808, 623, 236778, 236771, 236771, 236779, 1496, 1083, 3714, 7558, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236800, 236770, 236828, 236832, 236810, 236761, 236812, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 2394, 1083, 236743, 236800, 236770, 236828, 236778, 236778, 236761, 236770, 236770, 15947, 5237, 623, 212483, 1083, 3714, 236770, 236812, 236779, 1496, 1083, 3714, 7558, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2394, 1083, 236743, 236810, 236828, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 2394, 1083, 236743, 236825, 236770, 236761, 236778, 15947, 1807, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8330, 3671, 529, 555, 236880, 236791, 236743, 236810, 236771, 236771, 532, 36732, 12510, 22697, 573, 2436, 21238, 14139, 7798, 531, 11713, 86125, 11704, 236787, 108, 1018, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 568, 6120, 236917, 236768, 22202, 111355, 53121, 107, 236772, 5213, 38793, 562, 42511, 53121, 138, 107, 138, 236772, 236743, 236810, 236771, 236772, 1496, 7883, 236787, 236743, 236812, 236764, 236778, 236810, 236828, 568, 1048, 1476, 7003, 236764, 82838, 48053, 607, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236768, 138, 107, 138, 236772, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236787, 236743, 236800, 236764, 236819, 236828, 236778, 568, 45258, 7003, 236764, 5633, 3426, 3385, 236768, 138, 107, 138, 236772, 808, 53159, 149681, 623, 48496, 12713, 236775, 3759, 568, 45747, 1044, 14700, 236768, 10778, 528, 5226, 236743, 236778, 236771, 236778, 236800, 138, 108, 236772, 5213, 236794, 5491, 568, 236770, 236812, 236772, 1496, 1473, 1018, 138, 107, 138, 236772, 14040, 1550, 236787, 236743, 236810, 236828, 236761, 236825, 568, 45258, 18022, 236764, 951, 1024, 109158, 236786, 34106, 947, 3439, 236768, 138, 107, 138, 236772, 2301, 53326, 13207, 1534, 3385, 532, 14700, 138, 108, 236772, 5213, 40219, 121722, 42746, 53121, 138, 107, 138, 236772, 5213, 38168, 3725, 19665, 835, 42746, 53121, 44771, 568, 58578, 6317, 236787, 236743, 236832, 236828, 236786, 236770, 236771, 236771, 236768, 138, 107, 138, 236772, 12726, 32848, 573, 21037, 3877, 607, 2708, 43866, 4652, 138, 108, 1018, 68069, 12510, 568, 43793, 236777, 236768, 22202, 111355, 53121, 138, 107, 236772, 5213, 38793, 562, 42511, 53121, 138, 107, 138, 236772, 236743, 236810, 236771, 236772, 1496, 7883, 236787, 236743, 236800, 236778, 236764, 236810, 236812, 236771, 568, 174991, 31097, 236764, 5569, 24508, 2787, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236768, 138, 107, 138, 236772, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 236787, 236743, 236800, 236770, 236764, 236828, 236832, 236810, 568, 18121, 7003, 236764, 1492, 3426, 3385, 236768, 138, 108, 236772, 5213, 236794, 5491, 568, 236770, 236812, 236772, 1496, 1473, 1018, 138, 107, 138, 236772, 14040, 1550, 236787, 236743, 236810, 236828, 236761, 236800, 568, 45258, 236764, 1679, 699, 1024, 109158, 236743, 236825, 236770, 236761, 236778, 580, 4905, 236743, 236770, 236812, 236768, 138, 107, 138, 236772, 104036, 130750, 14700, 528, 4803, 2668, 138, 108, 1018, 3503, 12774, 50914, 573, 166858, 236786, 236797, 203591, 7449, 53121, 138, 107, 236770, 236761, 5213, 236811, 66174, 12726, 32288, 53121, 138, 107, 139, 236772, 10508, 22697, 1407, 82838, 224368, 568, 236810, 236771, 236772, 1496, 1890, 236743, 236778, 236771, 236771, 236772, 1496, 7883, 779, 22169, 31097, 14700, 138, 107, 139, 236772, 171698, 12643, 4535, 10128, 2978, 573, 7245, 3877, 2180, 13258, 19830, 4652, 138, 108, 236778, 236761, 5213, 38168, 109555, 38430, 53121, 138, 107, 139, 236772, 555, 236880, 236791, 236743, 236810, 236771, 236771, 236789, 236751, 623, 114292, 3717, 236775, 6953, 88435, 607, 4414, 11713, 86125, 11704, 15067, 138, 107, 139, 236772, 34641, 1262, 3831, 236743, 236770, 236778, 236772, 236770, 236810, 236908, 4398, 7384, 3877, 528, 28826, 236786, 45312, 10002, 5886, 1913, 3361, 2436, 19401, 138, 108, 236800, 236761, 5213, 99510, 2357, 531, 26295, 53121, 138, 107, 139, 236772, 178502, 236789, 236751, 4803, 171698, 16670, 568, 236825, 236770, 236761, 236778, 16130, 236743, 236810, 236828, 236761, 236800, 236768, 12205, 6495, 87629, 528, 8459, 236786, 59959, 18597, 138, 107, 139, 236772, 66399, 236743, 236770, 236771, 236772, 3704, 33108, 15741, 568, 236812, 236761, 236800, 236908, 618, 529, 4905, 236743, 236778, 236771, 236778, 236800, 236768, 1149, 4204, 86125, 11704, 768, 23226, 138, 108, 236812, 236761, 5213, 184402, 121722, 98964, 53121, 138, 107, 139, 236772, 27717, 11858, 3736, 699, 6243, 236772, 27393, 568, 6120, 236917, 52916, 900, 236832, 236908, 1366, 236812, 7623, 236768, 12765, 3798, 236786, 57750, 1960, 6995, 138, 107, 139, 236772, 39874, 3262, 29080, 17461, 1913, 3435, 2436, 43866, 13443, 568, 236744, 236761, 236759, 1126, 6384, 3869, 236772, 10558, 45248, 4771, 236768, 138, 108, 1018, 211199, 53121, 138, 107, 818, 8330, 25268, 3600, 5213, 153175, 2295, 27661, 3439, 1018, 531, 3654, 44367, 6995, 568, 236935, 236812, 236743, 236778, 236771, 236778, 236800, 779, 607, 236787, 138, 107, 236772, 30235, 580, 29811, 236772, 36954, 6485, 568, 7341, 236751, 607, 236743, 236778, 236771, 236778, 236800, 10022, 15067, 236768, 138, 107, 236772, 52761, 90670, 51422, 531, 6384, 3385, 111119, 568, 124977, 236743, 236810, 236772, 236828, 236908, 4398, 11446, 236917, 43866, 528, 3901, 236768, 138, 107, 236772, 18508, 24742, 32769, 607, 1868, 236772, 100328, 2033, 11531, 3409, 568, 36302, 236772, 37207, 236768, 138, 108, 38786, 611, 1133, 786, 531, 4071, 236772, 30449, 1239, 12396, 607, 11132, 2436, 1262, 568, 236744, 236761, 236759, 1126, 2033, 16960, 15067, 236764, 5431, 22779, 236768, 531, 59638, 21238, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 30855, 236761, 564, 236789, 236757, 4875, 531, 1502, 496, 3399, 1028, 236772, 650, 573, 44979, 532, 49115, 531, 1601, 58737, 39347, 528, 22403, 236761, 564, 1202, 496, 2890, 6064, 573, 496, 7224, 3739, 236764, 840, 564, 236789, 236757, 711, 2889, 1217, 531, 4903, 625, 9668, 236761, 669, 7224, 7087, 496, 2890, 6064, 573, 496, 3399, 61259, 2939, 236761, 5715, 236789, 236751, 506, 3195, 6492, 564, 691, 2238, 236787, 623, 207228, 496, 3399, 61259, 607, 236743, 236770, 236771, 236862, 1518, 2707, 528, 2460, 6995, 532, 62476, 3399, 15154, 236761, 20360, 15128, 5596, 531, 9688, 5699, 236764, 3786, 10231, 6130, 1133, 44979, 236764, 532, 31830, 12960, 13792, 1781, 3551, 4889, 236787, 30855, 57122, 236764, 236743, 236825, 236825, 236764, 58737, 62476, 236764, 68813, 236764, 711, 528, 28134, 236764, 2344, 1082, 236743, 236819, 594, 11398, 4993, 236764, 236743, 236778, 236771, 1518, 35447, 3399, 4749, 532, 10299, 44979, 236761, 3199, 611, 8729, 496, 2890, 6064, 573, 786, 1699, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7565, 236779, 547, 1083, 623, 5094, 236772, 1536, 1936, 6751, 7071, 236953, 236778, 236771, 236778, 236812, 827, 623, 4818, 1083, 623, 19631, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 76678, 57122, 1018, 138, 107, 236770, 236778, 236800, 6400, 6718, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236771, 236770, 138, 107, 236769, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 138, 108, 12055, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 67166, 8171, 138, 107, 120365, 11493, 11032, 138, 107, 236812, 236810, 236771, 232155, 154725, 54502, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236800, 236778, 138, 108, 1018, 21288, 236787, 12518, 573, 11493, 143092, 27180, 1271, 11493, 2372, 236772, 650, 573, 58737, 26228, 183440, 1018, 138, 108, 31163, 20819, 8171, 236764, 138, 108, 236777, 1006, 5712, 531, 3821, 1041, 45756, 2142, 528, 506, 11493, 143092, 2939, 573, 506, 6195, 44979, 532, 49115, 1028, 236772, 650, 236764, 5402, 531, 1894, 58737, 39347, 528, 22403, 236761, 1773, 496, 58737, 62476, 607, 236743, 236778, 236771, 1518, 529, 4916, 236772, 498, 2707, 35447, 3399, 4749, 532, 10299, 10231, 6130, 1133, 44979, 236764, 564, 1006, 19297, 11652, 531, 74681, 12960, 13792, 532, 63790, 62476, 8904, 1343, 15283, 236764, 71636, 7798, 19898, 236761, 138, 108, 4754, 1695, 100146, 19753, 607, 506, 6035, 28326, 528, 822, 3195, 6492, 236761, 7178, 1156, 13013, 236764, 564, 735, 10428, 13015, 532, 10542, 3399, 4749, 237028, 2543, 9226, 41550, 531, 12889, 236772, 21125, 28023, 237028, 7705, 6111, 3075, 12801, 4402, 529, 39347, 236764, 2440, 1551, 58737, 7965, 236761, 564, 735, 14582, 44979, 7694, 657, 2263, 3399, 16545, 236764, 9795, 11383, 2619, 10828, 15337, 532, 13136, 4852, 236764, 1651, 992, 55401, 23695, 600, 49467, 12960, 14558, 236761, 3551, 981, 815, 22541, 35630, 808, 167141, 12889, 236772, 21125, 236829, 532, 808, 83950, 15154, 30237, 17096, 600, 1418, 17358, 22136, 506, 3548, 532, 28386, 529, 506, 3399, 236761, 138, 108, 31382, 1041, 10781, 4993, 10714, 1680, 506, 236743, 236819, 594, 11398, 236764, 1041, 11742, 2707, 618, 496, 58737, 62476, 532, 1041, 33724, 531, 3399, 2509, 735, 14840, 786, 607, 506, 35691, 236764, 58203, 236764, 532, 10319, 4354, 531, 9688, 672, 1028, 236772, 650, 236761, 564, 735, 3016, 15026, 506, 135925, 573, 672, 2203, 1343, 33835, 44979, 21189, 528, 14100, 99162, 236764, 1298, 564, 6638, 1024, 236743, 236810, 236771, 7965, 531, 7659, 5405, 532, 21281, 1894, 236761, 3227, 672, 7224, 236764, 564, 795, 6778, 1239, 7880, 1131, 496, 13726, 1028, 236772, 650, 9722, 44979, 236764, 49115, 236764, 532, 9226, 8770, 6607, 236764, 5467, 25963, 506, 3548, 529, 22403, 236858, 236751, 62476, 5499, 236761, 138, 108, 14782, 611, 573, 11337, 1041, 3739, 236761, 564, 1093, 8349, 506, 5506, 531, 3249, 1217, 1041, 2707, 532, 10040, 740, 13157, 531, 506, 2630, 529, 672, 12763, 17358, 236761, 564, 1006, 2487, 657, 822, 21441, 573, 614, 7194, 532, 740, 577, 8452, 657, 568, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 653, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 236761, 138, 108, 162293, 236764, 138, 107, 1018, 76678, 57122, 1018, 138, 107, 46640, 143092, 833, 58737, 26228, 126469, 76363, 106, 107, 105, 2364, 107, 30092, 611, 85329, 672, 2890, 6064, 531, 886, 3104, 573, 496, 3399, 61381, 657, 506, 14100, 99162, 32462, 6022, 236881, 564, 1202, 625, 63510, 573, 910, 63515, 3905, 237028, 4017, 506, 2307, 3298, 1003, 1041, 236743, 236778, 236771, 1518, 35447, 44979, 21189, 532, 18024, 58737, 7965, 236761, 17608, 506, 58737, 62476, 3213, 3188, 840, 1386, 625, 4691, 580, 496, 3161, 3104, 236761, 106, 107, 105, 4368, 107, 1018, 22163, 5137, 58737, 11493, 2372, 236772, 650, 236888, 1018, 138, 108, 2542, 236743, 236778, 236771, 1518, 236764, 58737, 62476, 30855, 57122, 815, 6638, 7965, 528, 14100, 99162, 1343, 44979, 21189, 236764, 9226, 4749, 236764, 532, 10231, 12889, 236772, 58205, 236761, 4224, 236764, 1304, 236858, 236751, 32826, 496, 5213, 6796, 3399, 1028, 236772, 650, 1018, 9722, 44979, 236764, 49115, 236764, 532, 12960, 1894, 237028, 56754, 808, 2003, 236829, 58737, 39347, 236764, 808, 1708, 236829, 58737, 39347, 236761, 138, 108, 1018, 9004, 22742, 1418, 9863, 236764, 236743, 236770, 236771, 8151, 1018, 138, 107, 502, 506, 14100, 99162, 32462, 6022, 236761, 138, 107, 30354, 236764, 2171, 236764, 532, 2016, 3399, 3075, 236761, 138, 108, 236829, 11431, 30855, 236787, 568, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 236829, 138, 107, 236829, 236913, 2094, 1028, 236772, 650, 563, 573, 775, 237028, 1904, 10781, 4993, 4354, 236764, 1164, 3710, 532, 4916, 1827, 236829, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 1138, 496, 58737, 9226, 6374, 531, 1386, 625, 2597, 919, 2033, 236762, 236761, 28344, 611, 72146, 528, 2613, 1003, 506, 808, 236751, 44144, 89970, 236829, 692, 10763, 531, 1913, 44979, 21189, 236881, 9929, 236764, 623, 9004, 22742, 607, 123989, 234811, 5662, 1651, 692, 44990, 236775, 2192, 840, 1386, 625, 5057, 3756, 573, 506, 61381, 236761, 5393, 886, 1757, 236764, 5091, 236764, 834, 625, 19009, 580, 506, 63515, 3905, 236761, 106, 107, 105, 4368, 107, 1018, 22163, 5137, 58737, 11493, 2372, 236772, 650, 236888, 1018, 138, 108, 2542, 236743, 236778, 236771, 1518, 236764, 58737, 62476, 30855, 57122, 815, 6638, 7965, 528, 14100, 99162, 1343, 44979, 21189, 236764, 9226, 4749, 236764, 532, 10231, 12889, 236772, 58205, 236761, 4224, 236764, 1304, 236858, 236751, 32826, 496, 5213, 6796, 3399, 1028, 236772, 650, 1018, 9722, 44979, 236764, 49115, 236764, 532, 12960, 1894, 237028, 236829, 2003, 236829, 58737, 39347, 236764, 808, 1708, 236829, 58737, 39347, 236761, 138, 108, 1018, 168555, 522, 21189, 1418, 9863, 236764, 236743, 236770, 236771, 8151, 237028, 236774, 3025, 234811, 236858, 236751, 89970, 2514, 775, 100068, 3075, 528, 14100, 99162, 99382, 138, 107, 236829, 30354, 236764, 4024, 236764, 532, 2171, 607, 775, 236761, 2343, 12889, 4535, 8349, 9603, 138, 108, 236829, 11431, 30855, 236787, 568, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 236829, 138, 107, 71510, 2094, 1028, 236772, 650, 563, 573, 775, 237028, 1904, 10781, 4993, 4354, 236764, 1164, 3710, 532, 4916, 1781, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30855, 236761, 564, 236789, 236757, 4875, 531, 1502, 496, 3399, 1028, 236772, 650, 573, 44979, 532, 49115, 531, 1601, 58737, 39347, 528, 22403, 236761, 564, 1202, 496, 2890, 6064, 573, 496, 7224, 3739, 236764, 840, 564, 236789, 236757, 711, 2889, 1217, 531, 4903, 625, 9668, 236761, 669, 7224, 7087, 496, 2890, 6064, 573, 496, 3399, 61259, 2939, 236761, 5715, 236789, 236751, 506, 3195, 6492, 564, 691, 2238, 236787, 623, 207228, 496, 3399, 61259, 607, 236743, 236770, 236771, 236862, 1518, 2707, 528, 2460, 6995, 532, 62476, 3399, 15154, 236761, 20360, 15128, 5596, 531, 9688, 5699, 236764, 3786, 10231, 6130, 1133, 44979, 236764, 532, 31830, 12960, 13792, 1781, 3551, 4889, 236787, 30855, 57122, 236764, 236743, 236825, 236825, 236764, 58737, 62476, 236764, 68813, 236764, 711, 528, 28134, 236764, 2344, 1082, 236743, 236819, 594, 11398, 4993, 236764, 236743, 236778, 236771, 1518, 35447, 3399, 4749, 532, 10299, 44979, 236761, 3199, 611, 8729, 496, 2890, 6064, 573, 786, 1699, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7565, 236779, 547, 1083, 623, 5094, 236772, 1536, 1936, 6751, 7071, 236953, 236778, 236771, 236778, 236812, 827, 623, 4818, 1083, 623, 19631, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 76678, 57122, 1018, 138, 107, 236770, 236778, 236800, 6400, 6718, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236771, 236770, 138, 107, 236769, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 138, 108, 12055, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 67166, 8171, 138, 107, 120365, 11493, 11032, 138, 107, 236812, 236810, 236771, 232155, 154725, 54502, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236800, 236778, 138, 108, 1018, 21288, 236787, 12518, 573, 11493, 143092, 27180, 1271, 11493, 2372, 236772, 650, 573, 58737, 26228, 183440, 1018, 138, 108, 31163, 20819, 8171, 236764, 138, 108, 236777, 1006, 5712, 531, 3821, 1041, 45756, 2142, 528, 506, 11493, 143092, 2939, 573, 506, 6195, 44979, 532, 49115, 1028, 236772, 650, 236764, 5402, 531, 1894, 58737, 39347, 528, 22403, 236761, 1773, 496, 58737, 62476, 607, 236743, 236778, 236771, 1518, 529, 4916, 236772, 498, 2707, 35447, 3399, 4749, 532, 10299, 10231, 6130, 1133, 44979, 236764, 564, 1006, 19297, 11652, 531, 74681, 12960, 13792, 532, 63790, 62476, 8904, 1343, 15283, 236764, 71636, 7798, 19898, 236761, 138, 108, 4754, 1695, 100146, 19753, 607, 506, 6035, 28326, 528, 822, 3195, 6492, 236761, 7178, 1156, 13013, 236764, 564, 735, 10428, 13015, 532, 10542, 3399, 4749, 237028, 2543, 9226, 41550, 531, 12889, 236772, 21125, 28023, 237028, 7705, 6111, 3075, 12801, 4402, 529, 39347, 236764, 2440, 1551, 58737, 7965, 236761, 564, 735, 14582, 44979, 7694, 657, 2263, 3399, 16545, 236764, 9795, 11383, 2619, 10828, 15337, 532, 13136, 4852, 236764, 1651, 992, 55401, 23695, 600, 49467, 12960, 14558, 236761, 3551, 981, 815, 22541, 35630, 808, 167141, 12889, 236772, 21125, 236829, 532, 808, 83950, 15154, 30237, 17096, 600, 1418, 17358, 22136, 506, 3548, 532, 28386, 529, 506, 3399, 236761, 138, 108, 31382, 1041, 10781, 4993, 10714, 1680, 506, 236743, 236819, 594, 11398, 236764, 1041, 11742, 2707, 618, 496, 58737, 62476, 532, 1041, 33724, 531, 3399, 2509, 735, 14840, 786, 607, 506, 35691, 236764, 58203, 236764, 532, 10319, 4354, 531, 9688, 672, 1028, 236772, 650, 236761, 564, 735, 3016, 15026, 506, 135925, 573, 672, 2203, 1343, 33835, 44979, 21189, 528, 14100, 99162, 236764, 1298, 564, 6638, 1024, 236743, 236810, 236771, 7965, 531, 7659, 5405, 532, 21281, 1894, 236761, 3227, 672, 7224, 236764, 564, 795, 6778, 1239, 7880, 1131, 496, 13726, 1028, 236772, 650, 9722, 44979, 236764, 49115, 236764, 532, 9226, 8770, 6607, 236764, 5467, 25963, 506, 3548, 529, 22403, 236858, 236751, 62476, 5499, 236761, 138, 108, 14782, 611, 573, 11337, 1041, 3739, 236761, 564, 1093, 8349, 506, 5506, 531, 3249, 1217, 1041, 2707, 532, 10040, 740, 13157, 531, 506, 2630, 529, 672, 12763, 17358, 236761, 564, 1006, 2487, 657, 822, 21441, 573, 614, 7194, 532, 740, 577, 8452, 657, 568, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 653, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 236761, 138, 108, 162293, 236764, 138, 107, 1018, 76678, 57122, 1018, 138, 107, 46640, 143092, 833, 58737, 26228, 126469, 76363, 106, 107, 105, 2364, 107, 30092, 611, 85329, 672, 2890, 6064, 531, 886, 3104, 573, 496, 3399, 61381, 657, 506, 14100, 99162, 32462, 6022, 236881, 564, 1202, 625, 63510, 573, 910, 63515, 3905, 237028, 4017, 506, 2307, 3298, 1003, 1041, 236743, 236778, 236771, 1518, 35447, 44979, 21189, 532, 18024, 58737, 7965, 236761, 17608, 506, 58737, 62476, 3213, 3188, 840, 1386, 625, 4691, 580, 496, 3161, 3104, 236761, 106, 107, 105, 4368, 107, 1018, 22163, 5137, 58737, 11493, 2372, 236772, 650, 236888, 1018, 138, 108, 2542, 236743, 236778, 236771, 1518, 236764, 58737, 62476, 30855, 57122, 815, 6638, 7965, 528, 14100, 99162, 1343, 44979, 21189, 236764, 9226, 4749, 236764, 532, 10231, 12889, 236772, 58205, 236761, 4224, 236764, 1304, 236858, 236751, 32826, 496, 5213, 6796, 3399, 1028, 236772, 650, 1018, 9722, 44979, 236764, 49115, 236764, 532, 12960, 1894, 237028, 56754, 808, 2003, 236829, 58737, 39347, 236764, 808, 1708, 236829, 58737, 39347, 236761, 138, 108, 1018, 9004, 22742, 1418, 9863, 236764, 236743, 236770, 236771, 8151, 1018, 138, 107, 502, 506, 14100, 99162, 32462, 6022, 236761, 138, 107, 30354, 236764, 2171, 236764, 532, 2016, 3399, 3075, 236761, 138, 108, 236829, 11431, 30855, 236787, 568, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 236829, 138, 107, 236829, 236913, 2094, 1028, 236772, 650, 563, 573, 775, 237028, 1904, 10781, 4993, 4354, 236764, 1164, 3710, 532, 4916, 1827, 236829, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 1138, 496, 58737, 9226, 6374, 531, 1386, 625, 2597, 919, 2033, 236762, 236761, 28344, 611, 72146, 528, 2613, 1003, 506, 808, 236751, 44144, 89970, 236829, 692, 10763, 531, 1913, 44979, 21189, 236881, 9929, 236764, 623, 9004, 22742, 607, 123989, 234811, 5662, 1651, 692, 44990, 236775, 2192, 840, 1386, 625, 5057, 3756, 573, 506, 61381, 236761, 5393, 886, 1757, 236764, 5091, 236764, 834, 625, 19009, 580, 506, 63515, 3905, 236761, 106, 107, 105, 4368, 107, 1018, 22163, 5137, 58737, 11493, 2372, 236772, 650, 236888, 1018, 138, 108, 2542, 236743, 236778, 236771, 1518, 236764, 58737, 62476, 30855, 57122, 815, 6638, 7965, 528, 14100, 99162, 1343, 44979, 21189, 236764, 9226, 4749, 236764, 532, 10231, 12889, 236772, 58205, 236761, 4224, 236764, 1304, 236858, 236751, 32826, 496, 5213, 6796, 3399, 1028, 236772, 650, 1018, 9722, 44979, 236764, 49115, 236764, 532, 12960, 1894, 237028, 236829, 2003, 236829, 58737, 39347, 236764, 808, 1708, 236829, 58737, 39347, 236761, 138, 108, 1018, 168555, 522, 21189, 1418, 9863, 236764, 236743, 236770, 236771, 8151, 237028, 236774, 3025, 234811, 236858, 236751, 89970, 2514, 775, 100068, 3075, 528, 14100, 99162, 99382, 138, 107, 236829, 30354, 236764, 4024, 236764, 532, 2171, 607, 775, 236761, 2343, 12889, 4535, 8349, 9603, 138, 108, 236829, 11431, 30855, 236787, 568, 236800, 236771, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 25266, 236761, 26348, 41636, 236940, 6774, 236761, 854, 236829, 138, 107, 71510, 2094, 1028, 236772, 650, 563, 573, 775, 237028, 1904, 10781, 4993, 4354, 236764, 1164, 3710, 532, 4916, 1781, 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, 236757, 912, 529, 496, 2260, 5975, 532, 692, 236789, 500, 3182, 573, 496, 1535, 1908, 236772, 63123, 2260, 531, 3249, 2148, 236761, 3199, 611, 5840, 2613, 2721, 580, 1041, 10521, 236881, 106, 107, 105, 4368, 107, 2021, 2847, 506, 1791, 2260, 15136, 573, 822, 2260, 5975, 236764, 564, 1202, 531, 1281, 822, 3530, 10521, 236761, 28344, 611, 4024, 1144, 14050, 653, 22888, 611, 236789, 500, 1346, 7467, 528, 236881, 1701, 2591, 236764, 4083, 236764, 6647, 236764, 30157, 236764, 55757, 236764, 1873, 4749, 236764, 653, 2613, 1663, 236881, 1174, 795, 1601, 786, 49523, 506, 19205, 11974, 236761, 103453, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2126, 1131, 3577, 14396, 573, 1331, 70601, 1308, 28645, 236764, 49115, 8403, 573, 9539, 10022, 236764, 532, 3399, 3788, 1343, 68797, 236761, 564, 992, 4059, 6249, 1003, 35691, 532, 6250, 1024, 1308, 2563, 1972, 3731, 236761, 2900, 1093, 611, 5840, 573, 1023, 2260, 5975, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 3250, 1083, 623, 35153, 11689, 72959, 7536, 236787, 236743, 236819, 50228, 531, 16906, 34615, 827, 623, 6386, 1083, 623, 23549, 38482, 827, 623, 6011, 1083, 623, 236776, 10231, 8214, 573, 3607, 531, 1769, 2256, 529, 910, 40750, 236764, 2440, 11298, 573, 70601, 1308, 28645, 221476, 3714, 3250, 1083, 623, 69033, 166858, 236787, 669, 26158, 15308, 573, 103231, 9290, 210747, 827, 623, 6386, 1083, 623, 112215, 78192, 827, 623, 6011, 1083, 623, 91334, 11221, 580, 11363, 6485, 236764, 1813, 16672, 236764, 532, 28594, 49115, 8403, 3530, 531, 9539, 221476, 3714, 3250, 1083, 623, 818, 7338, 529, 11493, 236787, 16087, 129948, 14935, 51579, 2546, 827, 623, 6386, 1083, 623, 101340, 11629, 827, 623, 6011, 1083, 623, 3910, 68797, 740, 1601, 39844, 822, 1972, 236764, 2619, 21475, 13792, 236764, 532, 31830, 3577, 35691, 1308, 3262, 1972, 3731, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1806, 2260, 15136, 36443, 531, 822, 10521, 573, 822, 2260, 5975, 236787, 108, 236770, 236761, 5213, 35153, 11689, 72959, 7536, 236787, 236743, 236819, 50228, 531, 16906, 34615, 1018, 684, 6822, 38482, 138, 107, 139, 236776, 10231, 8214, 573, 3607, 67112, 4867, 10941, 1308, 28645, 236764, 607, 83979, 11298, 573, 70601, 11646, 532, 10805, 236761, 26079, 573, 18701, 580, 4867, 62901, 532, 3577, 3877, 236761, 108, 236778, 236761, 5213, 69033, 166858, 236787, 669, 26158, 15308, 573, 103231, 9290, 210747, 1018, 684, 27604, 78192, 138, 107, 139, 91334, 9106, 580, 11363, 6485, 236764, 29811, 236772, 36954, 49115, 236764, 532, 28594, 2065, 3530, 531, 9539, 93952, 236761, 45891, 573, 22260, 13726, 10154, 532, 3399, 49115, 5699, 236761, 108, 236800, 236761, 5213, 818, 7338, 529, 11493, 236787, 16087, 129948, 14935, 51579, 2546, 1018, 684, 31640, 11629, 138, 107, 139, 20647, 2985, 1217, 68797, 139930, 21475, 13792, 532, 3577, 35691, 1913, 1972, 25477, 236761, 8098, 573, 24048, 506, 18074, 529, 2509, 236764, 21123, 236764, 532, 19399, 6332, 236761, 108, 38786, 611, 1133, 919, 4889, 580, 1027, 529, 1239, 236764, 653, 2863, 564, 3600, 4767, 19293, 236881, 103453, 106, 107, 105, 2364, 107, 818, 9539, 166858, 2260, 12054, 4011, 236761, 28344, 611, 3442, 786, 919, 1003, 506, 3530, 6485, 625, 37414, 573, 506, 9975, 29082, 110453, 2433, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 7798, 531, 1023, 2263, 9295, 532, 7606, 3439, 236761, 106, 107, 105, 4368, 107, 818, 1873, 6436, 1537, 236789, 236745, 2847, 9813, 3732, 236772, 15396, 1262, 573, 9975, 29082, 110453, 236761, 3153, 236764, 27604, 78192, 236789, 236751, 808, 69033, 166858, 236787, 669, 26158, 15308, 573, 103231, 9290, 210747, 236829, 11082, 13526, 10969, 72320, 573, 8870, 9539, 568, 3350, 9975, 29082, 110453, 563, 5628, 769, 13752, 29811, 236772, 176270, 6485, 10325, 573, 672, 2433, 3204, 236787, 108, 236772, 5213, 69033, 53184, 1018, 14083, 3258, 1398, 211700, 1685, 3332, 79859, 17616, 138, 107, 236772, 5213, 6907, 7569, 99414, 1018, 14083, 29294, 1414, 37437, 74658, 18070, 597, 17616, 138, 107, 236772, 5213, 9264, 49605, 24035, 1018, 14083, 236814, 50431, 514, 4755, 106399, 129825, 17616, 138, 107, 236772, 5213, 30727, 236767, 236789, 236751, 1670, 1018, 14083, 22021, 236766, 737, 64574, 50815, 663, 605, 17616, 138, 108, 9208, 659, 11363, 531, 506, 4128, 236764, 40360, 528, 9539, 23957, 9295, 236764, 532, 1660, 11893, 1813, 3622, 6697, 236761, 1701, 18997, 14984, 36443, 531, 9975, 29082, 110453, 236789, 9295, 532, 4719, 66518, 236764, 564, 5840, 16329, 506, 2260, 236789, 236751, 3546, 573, 623, 36043, 9539, 236775, 10458, 653, 57416, 506, 5213, 69033, 562, 236880, 236792, 115173, 25242, 38580, 6007, 1018, 568, 20890, 735, 496, 9975, 41423, 4408, 12284, 506, 2433, 769, 21284, 611, 1133, 786, 531, 1385, 872, 3662, 4889, 573, 506, 9980, 2509, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 912, 529, 496, 2260, 5975, 532, 692, 236789, 500, 3182, 573, 496, 1535, 1908, 236772, 63123, 2260, 531, 3249, 2148, 236761, 3199, 611, 5840, 2613, 2721, 580, 1041, 10521, 236881, 106, 107, 105, 4368, 107, 2021, 2847, 506, 1791, 2260, 15136, 573, 822, 2260, 5975, 236764, 564, 1202, 531, 1281, 822, 3530, 10521, 236761, 28344, 611, 4024, 1144, 14050, 653, 22888, 611, 236789, 500, 1346, 7467, 528, 236881, 1701, 2591, 236764, 4083, 236764, 6647, 236764, 30157, 236764, 55757, 236764, 1873, 4749, 236764, 653, 2613, 1663, 236881, 1174, 795, 1601, 786, 49523, 506, 19205, 11974, 236761, 103453, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2126, 1131, 3577, 14396, 573, 1331, 70601, 1308, 28645, 236764, 49115, 8403, 573, 9539, 10022, 236764, 532, 3399, 3788, 1343, 68797, 236761, 564, 992, 4059, 6249, 1003, 35691, 532, 6250, 1024, 1308, 2563, 1972, 3731, 236761, 2900, 1093, 611, 5840, 573, 1023, 2260, 5975, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 3250, 1083, 623, 35153, 11689, 72959, 7536, 236787, 236743, 236819, 50228, 531, 16906, 34615, 827, 623, 6386, 1083, 623, 23549, 38482, 827, 623, 6011, 1083, 623, 236776, 10231, 8214, 573, 3607, 531, 1769, 2256, 529, 910, 40750, 236764, 2440, 11298, 573, 70601, 1308, 28645, 221476, 3714, 3250, 1083, 623, 69033, 166858, 236787, 669, 26158, 15308, 573, 103231, 9290, 210747, 827, 623, 6386, 1083, 623, 112215, 78192, 827, 623, 6011, 1083, 623, 91334, 11221, 580, 11363, 6485, 236764, 1813, 16672, 236764, 532, 28594, 49115, 8403, 3530, 531, 9539, 221476, 3714, 3250, 1083, 623, 818, 7338, 529, 11493, 236787, 16087, 129948, 14935, 51579, 2546, 827, 623, 6386, 1083, 623, 101340, 11629, 827, 623, 6011, 1083, 623, 3910, 68797, 740, 1601, 39844, 822, 1972, 236764, 2619, 21475, 13792, 236764, 532, 31830, 3577, 35691, 1308, 3262, 1972, 3731, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1806, 2260, 15136, 36443, 531, 822, 10521, 573, 822, 2260, 5975, 236787, 108, 236770, 236761, 5213, 35153, 11689, 72959, 7536, 236787, 236743, 236819, 50228, 531, 16906, 34615, 1018, 684, 6822, 38482, 138, 107, 139, 236776, 10231, 8214, 573, 3607, 67112, 4867, 10941, 1308, 28645, 236764, 607, 83979, 11298, 573, 70601, 11646, 532, 10805, 236761, 26079, 573, 18701, 580, 4867, 62901, 532, 3577, 3877, 236761, 108, 236778, 236761, 5213, 69033, 166858, 236787, 669, 26158, 15308, 573, 103231, 9290, 210747, 1018, 684, 27604, 78192, 138, 107, 139, 91334, 9106, 580, 11363, 6485, 236764, 29811, 236772, 36954, 49115, 236764, 532, 28594, 2065, 3530, 531, 9539, 93952, 236761, 45891, 573, 22260, 13726, 10154, 532, 3399, 49115, 5699, 236761, 108, 236800, 236761, 5213, 818, 7338, 529, 11493, 236787, 16087, 129948, 14935, 51579, 2546, 1018, 684, 31640, 11629, 138, 107, 139, 20647, 2985, 1217, 68797, 139930, 21475, 13792, 532, 3577, 35691, 1913, 1972, 25477, 236761, 8098, 573, 24048, 506, 18074, 529, 2509, 236764, 21123, 236764, 532, 19399, 6332, 236761, 108, 38786, 611, 1133, 919, 4889, 580, 1027, 529, 1239, 236764, 653, 2863, 564, 3600, 4767, 19293, 236881, 103453, 106, 107, 105, 2364, 107, 818, 9539, 166858, 2260, 12054, 4011, 236761, 28344, 611, 3442, 786, 919, 1003, 506, 3530, 6485, 625, 37414, 573, 506, 9975, 29082, 110453, 2433, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 7798, 531, 1023, 2263, 9295, 532, 7606, 3439, 236761, 106, 107, 105, 4368, 107, 818, 1873, 6436, 1537, 236789, 236745, 2847, 9813, 3732, 236772, 15396, 1262, 573, 9975, 29082, 110453, 236761, 3153, 236764, 27604, 78192, 236789, 236751, 808, 69033, 166858, 236787, 669, 26158, 15308, 573, 103231, 9290, 210747, 236829, 11082, 13526, 10969, 72320, 573, 8870, 9539, 568, 3350, 9975, 29082, 110453, 563, 5628, 769, 13752, 29811, 236772, 176270, 6485, 10325, 573, 672, 2433, 3204, 236787, 108, 236772, 5213, 69033, 53184, 1018, 14083, 3258, 1398, 211700, 1685, 3332, 79859, 17616, 138, 107, 236772, 5213, 6907, 7569, 99414, 1018, 14083, 29294, 1414, 37437, 74658, 18070, 597, 17616, 138, 107, 236772, 5213, 9264, 49605, 24035, 1018, 14083, 236814, 50431, 514, 4755, 106399, 129825, 17616, 138, 107, 236772, 5213, 30727, 236767, 236789, 236751, 1670, 1018, 14083, 22021, 236766, 737, 64574, 50815, 663, 605, 17616, 138, 108, 9208, 659, 11363, 531, 506, 4128, 236764, 40360, 528, 9539, 23957, 9295, 236764, 532, 1660, 11893, 1813, 3622, 6697, 236761, 1701, 18997, 14984, 36443, 531, 9975, 29082, 110453, 236789, 9295, 532, 4719, 66518, 236764, 564, 5840, 16329, 506, 2260, 236789, 236751, 3546, 573, 623, 36043, 9539, 236775, 10458, 653, 57416, 506, 5213, 69033, 562, 236880, 236792, 115173, 25242, 38580, 6007, 1018, 568, 20890, 735, 496, 9975, 41423, 4408, 12284, 506, 2433, 769, 21284, 611, 1133, 786, 531, 1385, 872, 3662, 4889, 573, 506, 9980, 2509, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 42112, 531, 4351, 872, 1070, 37358, 53439, 12824, 35226, 573, 496, 12441, 4598, 564, 236789, 236757, 22293, 2148, 9735, 236761, 5315, 236764, 564, 1202, 506, 6850, 236772, 1257, 5149, 1534, 10871, 174253, 37359, 236764, 26493, 532, 42112, 236764, 26493, 236761, 4298, 236764, 564, 1461, 531, 1281, 506, 10944, 9204, 990, 1913, 97119, 12399, 8827, 834, 564, 740, 10368, 625, 1447, 1308, 981, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 623, 236800, 236771, 236761, 236810, 7635, 827, 623, 6805, 1083, 623, 100403, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19001, 1083, 623, 236770, 6468, 236743, 236778, 236771, 4310, 827, 623, 47340, 236779, 19216, 1083, 623, 114292, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236828, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 6850, 236772, 1257, 5149, 1534, 10871, 174253, 37359, 236764, 26493, 532, 42112, 236764, 26493, 563, 5213, 236800, 236771, 236761, 236810, 7635, 84750, 236743, 108, 2542, 496, 97119, 12399, 27197, 657, 236743, 236810, 236787, 236771, 236771, 8711, 568, 236744, 236761, 236759, 1126, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 779, 506, 10944, 9204, 990, 1913, 21037, 8827, 563, 5213, 236770, 6468, 532, 236743, 236778, 236771, 4310, 125546, 607, 614, 9460, 16257, 990, 529, 5213, 236825, 236787, 236778, 236771, 8711, 84750, 1174, 10368, 1374, 2174, 611, 531, 4351, 872, 506, 35226, 1447, 1308, 981, 532, 994, 2033, 528, 990, 573, 822, 12441, 4598, 36237, 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 ]
[ 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, 42112, 531, 4351, 872, 1070, 37358, 53439, 12824, 35226, 573, 496, 12441, 4598, 564, 236789, 236757, 22293, 2148, 9735, 236761, 5315, 236764, 564, 1202, 506, 6850, 236772, 1257, 5149, 1534, 10871, 174253, 37359, 236764, 26493, 532, 42112, 236764, 26493, 236761, 4298, 236764, 564, 1461, 531, 1281, 506, 10944, 9204, 990, 1913, 97119, 12399, 8827, 834, 564, 740, 10368, 625, 1447, 1308, 981, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 623, 236800, 236771, 236761, 236810, 7635, 827, 623, 6805, 1083, 623, 100403, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19001, 1083, 623, 236770, 6468, 236743, 236778, 236771, 4310, 827, 623, 47340, 236779, 19216, 1083, 623, 114292, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236828, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 6850, 236772, 1257, 5149, 1534, 10871, 174253, 37359, 236764, 26493, 532, 42112, 236764, 26493, 563, 5213, 236800, 236771, 236761, 236810, 7635, 84750, 236743, 108, 2542, 496, 97119, 12399, 27197, 657, 236743, 236810, 236787, 236771, 236771, 8711, 568, 236744, 236761, 236759, 1126, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 779, 506, 10944, 9204, 990, 1913, 21037, 8827, 563, 5213, 236770, 6468, 532, 236743, 236778, 236771, 4310, 125546, 607, 614, 9460, 16257, 990, 529, 5213, 236825, 236787, 236778, 236771, 8711, 84750, 1174, 10368, 1374, 2174, 611, 531, 4351, 872, 506, 35226, 1447, 1308, 981, 532, 994, 2033, 528, 990, 573, 822, 12441, 4598, 36237, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 48729, 532, 1202, 531, 7352, 1041, 236743, 236810, 236771, 236771, 109384, 15749, 531, 35074, 27978, 5216, 568, 129399, 236855, 769, 3153, 236764, 564, 5630, 8770, 6224, 130712, 236764, 834, 564, 1461, 531, 10769, 1156, 14274, 16412, 236787, 886, 1699, 109384, 238183, 38556, 238183, 129399, 236855, 532, 2264, 1699, 109384, 238183, 79271, 238183, 129399, 236855, 236761, 3199, 611, 9279, 1800, 69570, 528, 97354, 236855, 1699, 1759, 236772, 2289, 6224, 236881, 5315, 236764, 7352, 236743, 236810, 236771, 236771, 109384, 531, 23058, 607, 506, 549, 25651, 236779, 767, 5904, 236764, 1299, 7352, 600, 23058, 2886, 531, 97354, 236855, 1699, 8770, 236779, 27617, 236761, 12067, 236764, 7352, 236743, 236810, 236771, 236771, 109384, 531, 35594, 607, 506, 121231, 5904, 236764, 1299, 7352, 600, 35594, 531, 97354, 236855, 607, 8770, 236779, 27617, 236761, 1637, 1027, 5904, 4038, 236789, 236745, 1894, 496, 15130, 6727, 236764, 1586, 614, 9302, 2479, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 623, 236825, 236812, 236771, 236761, 236771, 236771, 827, 623, 39588, 236779, 4720, 1083, 623, 236770, 236761, 236778, 236828, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 13304, 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, 107642, 236779, 13304, 1083, 236743, 236770, 236812, 236828, 236812, 236828, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236800, 236761, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 13304, 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, 107642, 236779, 13304, 1083, 236743, 236810, 236819, 236771, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236770, 236828, 236770, 236764, 623, 2543, 236779, 27617, 1083, 623, 142026, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236812, 236812, 236825, 236832, 236761, 236778, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 75675, 17647, 573, 236743, 236810, 236771, 236771, 109384, 531, 97354, 236855, 4323, 8512, 133087, 53121, 108, 10354, 5213, 3360, 236743, 236770, 236787, 109384, 16130, 23058, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 23058, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 10204, 236758, 236779, 767, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236778, 236828, 23058, 1018, 138, 108, 236778, 236761, 5213, 38556, 531, 97354, 236855, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 578, 236743, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 23058, 578, 236743, 236778, 236800, 236761, 236778, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 3360, 236743, 236778, 236787, 109384, 16130, 35594, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 35594, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 149508, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236770, 236828, 236770, 35594, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 1018, 138, 108, 236778, 236761, 5213, 79271, 531, 97354, 236855, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 578, 236743, 236770, 236812, 236764, 236812, 236825, 236832, 236761, 236778, 236810, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 35594, 578, 236743, 236778, 236812, 236761, 236810, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 53377, 1018, 138, 107, 236772, 5213, 3360, 236743, 236770, 12613, 66515, 5213, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 236772, 5213, 3360, 236743, 236778, 12613, 66515, 5213, 236770, 236812, 236764, 236812, 236825, 236832, 236761, 236778, 236810, 97354, 236855, 1018, 138, 107, 236772, 5213, 73630, 66515, 13739, 236743, 236770, 15741, 5213, 236800, 236828, 236771, 236761, 236832, 236810, 97354, 236855, 919, 1018, 1082, 13739, 236743, 236778, 236761, 138, 108, 1018, 10282, 66515, 19651, 6224, 9729, 684, 31115, 236761, 1701, 1759, 236772, 2289, 10634, 236764, 5330, 506, 6524, 6224, 659, 1456, 568, 3360, 236743, 236770, 815, 506, 1346, 4803, 31115, 769, 106, 107, 105, 2364, 107, 818, 35594, 238183, 129399, 236855, 14274, 1456, 496, 236743, 236778, 236771, 236778, 236800, 31115, 3136, 236764, 837, 563, 59891, 236761, 7323, 95179, 506, 35594, 238183, 129399, 236855, 2918, 1699, 1759, 236772, 2289, 6224, 568, 4002, 31115, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236768, 531, 5330, 11459, 9960, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236810, 236771, 236778, 236828, 236761, 236778, 236800, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236810, 236761, 236812, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236812, 236771, 236778, 236800, 236761, 236832, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236800, 236761, 236832, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 109627, 67292, 17647, 573, 236743, 236810, 236771, 236771, 109384, 531, 97354, 236855, 568, 20235, 236772, 2866, 58041, 618, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 1473, 1018, 108, 7243, 108, 10354, 5213, 3360, 236743, 236770, 236787, 109384, 16130, 23058, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 23058, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 10204, 236758, 236779, 767, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236778, 236828, 23058, 1018, 138, 108, 236778, 236761, 5213, 38556, 531, 97354, 236855, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 578, 236743, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 23058, 578, 236743, 236778, 236800, 236761, 236778, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 3360, 236743, 236778, 236787, 109384, 16130, 35594, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 35594, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 149508, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236770, 236828, 236770, 35594, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 1018, 138, 108, 236778, 236761, 5213, 79271, 531, 97354, 236855, 568, 41778, 10170, 236772, 2866, 25870, 62902, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 578, 236743, 236770, 236812, 236764, 236771, 236778, 236800, 236761, 236832, 236810, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 35594, 578, 236743, 236778, 236800, 236761, 236832, 236810, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 53377, 1018, 138, 107, 236772, 5213, 3360, 236743, 236770, 12613, 66515, 5213, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 236772, 5213, 3360, 236743, 236778, 12613, 66515, 5213, 236770, 236812, 236764, 236771, 236778, 236800, 236761, 236832, 236810, 97354, 236855, 1018, 138, 107, 236772, 5213, 73630, 66515, 13739, 236743, 236770, 15741, 5213, 236828, 236778, 236812, 236761, 236778, 236810, 97354, 236855, 919, 1018, 1082, 13739, 236743, 236778, 236761, 138, 108, 1018, 30792, 53121, 138, 107, 17123, 1759, 236772, 2289, 6224, 236764, 35322, 4323, 5213, 142026, 238183, 38556, 238183, 129399, 236855, 1018, 4728, 496, 8792, 2480, 14421, 573, 822, 236743, 236810, 236771, 236771, 109384, 15749, 5483, 531, 109384, 238183, 79271, 238183, 129399, 236855, 236761, 31246, 16807, 8770, 6224, 607, 506, 1346, 4803, 99885, 573, 10634, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 48729, 532, 1202, 531, 7352, 1041, 236743, 236810, 236771, 236771, 109384, 15749, 531, 35074, 27978, 5216, 568, 129399, 236855, 769, 3153, 236764, 564, 5630, 8770, 6224, 130712, 236764, 834, 564, 1461, 531, 10769, 1156, 14274, 16412, 236787, 886, 1699, 109384, 238183, 38556, 238183, 129399, 236855, 532, 2264, 1699, 109384, 238183, 79271, 238183, 129399, 236855, 236761, 3199, 611, 9279, 1800, 69570, 528, 97354, 236855, 1699, 1759, 236772, 2289, 6224, 236881, 5315, 236764, 7352, 236743, 236810, 236771, 236771, 109384, 531, 23058, 607, 506, 549, 25651, 236779, 767, 5904, 236764, 1299, 7352, 600, 23058, 2886, 531, 97354, 236855, 1699, 8770, 236779, 27617, 236761, 12067, 236764, 7352, 236743, 236810, 236771, 236771, 109384, 531, 35594, 607, 506, 121231, 5904, 236764, 1299, 7352, 600, 35594, 531, 97354, 236855, 607, 8770, 236779, 27617, 236761, 1637, 1027, 5904, 4038, 236789, 236745, 1894, 496, 15130, 6727, 236764, 1586, 614, 9302, 2479, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 623, 236825, 236812, 236771, 236761, 236771, 236771, 827, 623, 39588, 236779, 4720, 1083, 623, 236770, 236761, 236778, 236828, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 13304, 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, 107642, 236779, 13304, 1083, 236743, 236770, 236812, 236828, 236812, 236828, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236800, 236761, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 13304, 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, 107642, 236779, 13304, 1083, 236743, 236810, 236819, 236771, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236770, 236828, 236770, 236764, 623, 2543, 236779, 27617, 1083, 623, 142026, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236812, 236812, 236825, 236832, 236761, 236778, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 75675, 17647, 573, 236743, 236810, 236771, 236771, 109384, 531, 97354, 236855, 4323, 8512, 133087, 53121, 108, 10354, 5213, 3360, 236743, 236770, 236787, 109384, 16130, 23058, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 23058, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 10204, 236758, 236779, 767, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236778, 236828, 23058, 1018, 138, 108, 236778, 236761, 5213, 38556, 531, 97354, 236855, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 578, 236743, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 23058, 578, 236743, 236778, 236800, 236761, 236778, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 3360, 236743, 236778, 236787, 109384, 16130, 35594, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 35594, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 149508, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236770, 236828, 236770, 35594, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 1018, 138, 108, 236778, 236761, 5213, 79271, 531, 97354, 236855, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 578, 236743, 236770, 236812, 236764, 236812, 236825, 236832, 236761, 236778, 236810, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 35594, 578, 236743, 236778, 236812, 236761, 236810, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 53377, 1018, 138, 107, 236772, 5213, 3360, 236743, 236770, 12613, 66515, 5213, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 236772, 5213, 3360, 236743, 236778, 12613, 66515, 5213, 236770, 236812, 236764, 236812, 236825, 236832, 236761, 236778, 236810, 97354, 236855, 1018, 138, 107, 236772, 5213, 73630, 66515, 13739, 236743, 236770, 15741, 5213, 236800, 236828, 236771, 236761, 236832, 236810, 97354, 236855, 919, 1018, 1082, 13739, 236743, 236778, 236761, 138, 108, 1018, 10282, 66515, 19651, 6224, 9729, 684, 31115, 236761, 1701, 1759, 236772, 2289, 10634, 236764, 5330, 506, 6524, 6224, 659, 1456, 568, 3360, 236743, 236770, 815, 506, 1346, 4803, 31115, 769, 106, 107, 105, 2364, 107, 818, 35594, 238183, 129399, 236855, 14274, 1456, 496, 236743, 236778, 236771, 236778, 236800, 31115, 3136, 236764, 837, 563, 59891, 236761, 7323, 95179, 506, 35594, 238183, 129399, 236855, 2918, 1699, 1759, 236772, 2289, 6224, 568, 4002, 31115, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236768, 531, 5330, 11459, 9960, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236810, 236771, 236778, 236828, 236761, 236778, 236800, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236810, 236761, 236812, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236812, 236771, 236778, 236800, 236761, 236832, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236778, 236800, 236761, 236832, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 109627, 67292, 17647, 573, 236743, 236810, 236771, 236771, 109384, 531, 97354, 236855, 568, 20235, 236772, 2866, 58041, 618, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 1473, 1018, 108, 7243, 108, 10354, 5213, 3360, 236743, 236770, 236787, 109384, 16130, 23058, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 23058, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 10204, 236758, 236779, 767, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236778, 236828, 23058, 1018, 138, 108, 236778, 236761, 5213, 38556, 531, 97354, 236855, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236825, 236812, 236771, 236761, 236771, 236771, 23058, 578, 236743, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 23058, 578, 236743, 236778, 236800, 236761, 236778, 236771, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 3360, 236743, 236778, 236787, 109384, 16130, 35594, 16130, 97354, 236855, 1018, 138, 107, 236770, 236761, 5213, 142026, 531, 35594, 1018, 138, 107, 139, 236772, 13474, 236787, 2165, 149508, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236771, 236771, 109384, 578, 236743, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 109384, 578, 236743, 236770, 236761, 236770, 236828, 236770, 35594, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 1018, 138, 108, 236778, 236761, 5213, 79271, 531, 97354, 236855, 568, 41778, 10170, 236772, 2866, 25870, 62902, 138, 107, 139, 236772, 13474, 236787, 2165, 39588, 236779, 27617, 236929, 138, 107, 139, 236772, 1700, 21489, 236787, 5213, 236810, 236819, 236771, 236761, 236810, 236771, 35594, 578, 236743, 236770, 236812, 236764, 236771, 236778, 236800, 236761, 236832, 236810, 97354, 236855, 1018, 138, 107, 139, 236772, 19651, 25870, 236787, 5213, 236770, 35594, 578, 236743, 236778, 236800, 236761, 236832, 236810, 97354, 236855, 1018, 138, 107, 139, 236772, 129969, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 59528, 1018, 138, 108, 7243, 108, 10354, 5213, 53377, 1018, 138, 107, 236772, 5213, 3360, 236743, 236770, 12613, 66515, 5213, 236770, 236812, 236764, 236828, 236812, 236828, 236761, 236771, 236771, 97354, 236855, 1018, 138, 107, 236772, 5213, 3360, 236743, 236778, 12613, 66515, 5213, 236770, 236812, 236764, 236771, 236778, 236800, 236761, 236832, 236810, 97354, 236855, 1018, 138, 107, 236772, 5213, 73630, 66515, 13739, 236743, 236770, 15741, 5213, 236828, 236778, 236812, 236761, 236778, 236810, 97354, 236855, 919, 1018, 1082, 13739, 236743, 236778, 236761, 138, 108, 1018, 30792, 53121, 138, 107, 17123, 1759, 236772, 2289, 6224, 236764, 35322, 4323, 5213, 142026, 238183, 38556, 238183, 129399, 236855, 1018, 4728, 496, 8792, 2480, 14421, 573, 822, 236743, 236810, 236771, 236771, 109384, 15749, 5483, 531, 109384, 238183, 79271, 238183, 129399, 236855, 236761, 31246, 16807, 8770, 6224, 607, 506, 1346, 4803, 99885, 573, 10634, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 53489, 236787, 564, 236789, 236757, 3182, 531, 4682, 872, 607, 1070, 2255, 4690, 657, 496, 2263, 7075, 528, 4179, 507, 6914, 236761, 28344, 611, 1601, 786, 1586, 496, 2321, 12616, 600, 7298, 6672, 185761, 18989, 236881, 3551, 4690, 532, 564, 5278, 6666, 607, 496, 15189, 11661, 1298, 692, 740, 4059, 83862, 18917, 1133, 21580, 59681, 653, 12480, 532, 51831, 236761, 1191, 236789, 500, 784, 21136, 236764, 834, 7715, 236772, 18865, 3835, 1093, 577, 22572, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 818, 161582, 184780, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 4179, 507, 6914, 827, 623, 230586, 236779, 2084, 1083, 623, 41210, 26528, 827, 623, 9707, 236779, 8572, 1083, 623, 51128, 236772, 18865, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 14210, 1083, 623, 193760, 11661, 607, 6376, 80857, 1133, 21580, 59681, 532, 12480, 532, 51831, 23179, 3714, 1201, 1083, 623, 229641, 201685, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 236764, 4179, 507, 6914, 827, 623, 230586, 236779, 2084, 1083, 623, 41210, 26528, 827, 623, 9707, 236779, 8572, 1083, 623, 51128, 236772, 18865, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 14210, 1083, 623, 23301, 236772, 16761, 7075, 12284, 83862, 22292, 528, 496, 28006, 6514, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1156, 1822, 3835, 528, 4179, 507, 6914, 573, 496, 15189, 236764, 7715, 236772, 18865, 185761, 13294, 236787, 108, 236770, 236761, 5213, 818, 161582, 184780, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 6400, 842, 138, 107, 139, 245305, 808, 42362, 80857, 3204, 21580, 59681, 532, 12480, 532, 51831, 236761, 137136, 236743, 236812, 236761, 236778, 236786, 236810, 573, 1061, 37066, 236764, 951, 236772, 1145, 3093, 44249, 9603, 108, 236778, 236761, 5213, 229641, 201685, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 20690, 18977, 138, 107, 139, 245305, 808, 23301, 236772, 16761, 7075, 607, 83862, 22292, 529, 9760, 19292, 236761, 137136, 236743, 236812, 236761, 236810, 236786, 236810, 573, 1061, 6962, 236764, 28006, 11661, 9603, 108, 22186, 659, 4011, 573, 37636, 872, 607, 4690, 1024, 83496, 18917, 236888, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 919, 4889, 236761, 103453, 106, 107, 105, 2364, 107, 53489, 236787, 28344, 611, 9279, 506, 4398, 14470, 529, 1724, 1156, 12616, 531, 1601, 786, 10741, 837, 886, 531, 3517, 236881, 564, 236789, 236753, 1133, 531, 1281, 506, 2689, 529, 236743, 236812, 236761, 236778, 532, 236743, 236812, 236761, 236810, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10520, 1083, 236743, 236812, 236761, 236800, 236810, 236783, 106, 107, 105, 4368, 107, 818, 4398, 14470, 529, 669, 161582, 184780, 568, 236812, 236761, 236778, 236768, 532, 70450, 201685, 568, 236812, 236761, 236810, 236768, 563, 5213, 236812, 236761, 236800, 236810, 84750, 236743, 108, 10081, 70450, 201685, 815, 496, 8427, 3715, 14470, 568, 236812, 236761, 236810, 7728, 236761, 236743, 236812, 236761, 236778, 779, 625, 2473, 7377, 855, 618, 506, 1903, 5313, 236764, 840, 1800, 659, 7516, 3835, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236761, 103453, 106, 107, 105, 2364, 107, 53489, 236787, 11017, 573, 506, 4398, 14470, 14988, 236888, 5612, 70450, 201685, 815, 496, 8427, 3715, 6317, 236764, 564, 236789, 859, 3600, 692, 2874, 993, 236761, 3763, 506, 1595, 236764, 1451, 611, 1601, 786, 1586, 496, 14942, 1237, 15576, 3003, 236881, 562, 2321, 529, 775, 2473, 1461, 531, 1441, 496, 4886, 1308, 14016, 236764, 532, 564, 16355, 993, 236789, 236751, 886, 3107, 531, 4179, 507, 6914, 840, 564, 740, 236789, 236745, 5630, 506, 1463, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 496, 5904, 600, 5467, 15249, 15576, 12420, 236764, 840, 564, 740, 4024, 600, 5213, 236863, 9305, 6914, 31080, 26698, 24435, 1018, 568, 74860, 2760, 623, 65897, 97267, 1373, 563, 496, 4913, 1237, 236743, 236770, 236828, 236772, 26026, 3003, 5628, 1164, 496, 2321, 7635, 8710, 529, 22964, 4179, 507, 6914, 236761, 1030, 236858, 236751, 3224, 573, 1646, 17075, 532, 1388, 236772, 151805, 236761, 12023, 5086, 563, 5213, 229641, 39571, 26698, 24435, 1018, 528, 14942, 6752, 46461, 236764, 1003, 236743, 236778, 236771, 4310, 3121, 236761, 236743, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 1601, 1385, 872, 3662, 4889, 653, 15232, 768, 611, 9128, 506, 1463, 653, 4563, 236888, 3792, 786, 1281, 236761, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 53489, 236787, 564, 236789, 236757, 3182, 531, 4682, 872, 607, 1070, 2255, 4690, 657, 496, 2263, 7075, 528, 4179, 507, 6914, 236761, 28344, 611, 1601, 786, 1586, 496, 2321, 12616, 600, 7298, 6672, 185761, 18989, 236881, 3551, 4690, 532, 564, 5278, 6666, 607, 496, 15189, 11661, 1298, 692, 740, 4059, 83862, 18917, 1133, 21580, 59681, 653, 12480, 532, 51831, 236761, 1191, 236789, 500, 784, 21136, 236764, 834, 7715, 236772, 18865, 3835, 1093, 577, 22572, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 818, 161582, 184780, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 4179, 507, 6914, 827, 623, 230586, 236779, 2084, 1083, 623, 41210, 26528, 827, 623, 9707, 236779, 8572, 1083, 623, 51128, 236772, 18865, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 14210, 1083, 623, 193760, 11661, 607, 6376, 80857, 1133, 21580, 59681, 532, 12480, 532, 51831, 23179, 3714, 1201, 1083, 623, 229641, 201685, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 236764, 4179, 507, 6914, 827, 623, 230586, 236779, 2084, 1083, 623, 41210, 26528, 827, 623, 9707, 236779, 8572, 1083, 623, 51128, 236772, 18865, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 14210, 1083, 623, 23301, 236772, 16761, 7075, 12284, 83862, 22292, 528, 496, 28006, 6514, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1156, 1822, 3835, 528, 4179, 507, 6914, 573, 496, 15189, 236764, 7715, 236772, 18865, 185761, 13294, 236787, 108, 236770, 236761, 5213, 818, 161582, 184780, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 6400, 842, 138, 107, 139, 245305, 808, 42362, 80857, 3204, 21580, 59681, 532, 12480, 532, 51831, 236761, 137136, 236743, 236812, 236761, 236778, 236786, 236810, 573, 1061, 37066, 236764, 951, 236772, 1145, 3093, 44249, 9603, 108, 236778, 236761, 5213, 229641, 201685, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 20690, 18977, 138, 107, 139, 245305, 808, 23301, 236772, 16761, 7075, 607, 83862, 22292, 529, 9760, 19292, 236761, 137136, 236743, 236812, 236761, 236810, 236786, 236810, 573, 1061, 6962, 236764, 28006, 11661, 9603, 108, 22186, 659, 4011, 573, 37636, 872, 607, 4690, 1024, 83496, 18917, 236888, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 919, 4889, 236761, 103453, 106, 107, 105, 2364, 107, 53489, 236787, 28344, 611, 9279, 506, 4398, 14470, 529, 1724, 1156, 12616, 531, 1601, 786, 10741, 837, 886, 531, 3517, 236881, 564, 236789, 236753, 1133, 531, 1281, 506, 2689, 529, 236743, 236812, 236761, 236778, 532, 236743, 236812, 236761, 236810, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10520, 1083, 236743, 236812, 236761, 236800, 236810, 236783, 106, 107, 105, 4368, 107, 818, 4398, 14470, 529, 669, 161582, 184780, 568, 236812, 236761, 236778, 236768, 532, 70450, 201685, 568, 236812, 236761, 236810, 236768, 563, 5213, 236812, 236761, 236800, 236810, 84750, 236743, 108, 10081, 70450, 201685, 815, 496, 8427, 3715, 14470, 568, 236812, 236761, 236810, 7728, 236761, 236743, 236812, 236761, 236778, 779, 625, 2473, 7377, 855, 618, 506, 1903, 5313, 236764, 840, 1800, 659, 7516, 3835, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236761, 103453, 106, 107, 105, 2364, 107, 53489, 236787, 11017, 573, 506, 4398, 14470, 14988, 236888, 5612, 70450, 201685, 815, 496, 8427, 3715, 6317, 236764, 564, 236789, 859, 3600, 692, 2874, 993, 236761, 3763, 506, 1595, 236764, 1451, 611, 1601, 786, 1586, 496, 14942, 1237, 15576, 3003, 236881, 562, 2321, 529, 775, 2473, 1461, 531, 1441, 496, 4886, 1308, 14016, 236764, 532, 564, 16355, 993, 236789, 236751, 886, 3107, 531, 4179, 507, 6914, 840, 564, 740, 236789, 236745, 5630, 506, 1463, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 496, 5904, 600, 5467, 15249, 15576, 12420, 236764, 840, 564, 740, 4024, 600, 5213, 236863, 9305, 6914, 31080, 26698, 24435, 1018, 568, 74860, 2760, 623, 65897, 97267, 1373, 563, 496, 4913, 1237, 236743, 236770, 236828, 236772, 26026, 3003, 5628, 1164, 496, 2321, 7635, 8710, 529, 22964, 4179, 507, 6914, 236761, 1030, 236858, 236751, 3224, 573, 1646, 17075, 532, 1388, 236772, 151805, 236761, 12023, 5086, 563, 5213, 229641, 39571, 26698, 24435, 1018, 528, 14942, 6752, 46461, 236764, 1003, 236743, 236778, 236771, 4310, 3121, 236761, 236743, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 1601, 1385, 872, 3662, 4889, 653, 15232, 768, 611, 9128, 506, 1463, 653, 4563, 236888, 3792, 786, 1281, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 10848, 3075, 496, 15491, 19520, 600, 66503, 39339, 699, 1607, 4808, 236761, 2282, 11006, 506, 19520, 4889, 236764, 564, 1202, 531, 9385, 1938, 1003, 506, 4808, 10725, 236761, 28344, 611, 1601, 786, 974, 506, 4889, 573, 506, 3640, 4184, 568, 154133, 3393, 8288, 779, 14600, 568, 82859, 779, 532, 6056, 568, 235451, 20625, 106, 107, 105, 4368, 107, 2021, 33205, 506, 2891, 4889, 573, 506, 3640, 4184, 568, 18038, 779, 14600, 568, 82859, 779, 532, 6056, 568, 235451, 779, 564, 1202, 531, 1281, 837, 3530, 6192, 611, 236789, 236753, 1133, 5012, 528, 506, 3072, 236761, 669, 2165, 828, 236779, 14801, 236779, 2003, 236779, 35658, 236746, 236779, 3970, 236929, 5904, 7087, 506, 2165, 14517, 236929, 7689, 531, 577, 9155, 568, 236744, 236761, 236759, 1126, 2165, 1201, 236764, 41626, 236764, 38428, 236764, 27617, 59395, 13752, 6192, 3204, 236787, 108, 236772, 2165, 1201, 236929, 568, 14801, 1463, 236768, 107, 236772, 2165, 41626, 236929, 107, 236772, 2165, 38428, 236929, 107, 236772, 2165, 7376, 236929, 107, 236772, 2165, 27617, 236929, 107, 236772, 2165, 56488, 236779, 19859, 236929, 107, 236772, 2165, 16213, 236929, 568, 3304, 10739, 236768, 108, 30092, 611, 37386, 837, 6192, 611, 236789, 236753, 1133, 573, 1546, 2891, 236881, 1701, 2591, 236787, 138, 107, 236775, 9366, 3204, 1463, 236764, 5279, 236764, 532, 5499, 573, 784, 1806, 4808, 1781, 106, 107, 105, 2364, 107, 9366, 3204, 1463, 236764, 5279, 236764, 5499, 236764, 15130, 236764, 5125, 236779, 19859, 236764, 532, 8134, 573, 1546, 2891, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 27211, 4184, 827, 623, 41626, 1083, 623, 42804, 236764, 622, 236761, 236780, 10498, 623, 38428, 1083, 236743, 236800, 236800, 236770, 236771, 236771, 236778, 236825, 236810, 236770, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56488, 236779, 19859, 1083, 623, 27832, 827, 623, 16213, 1083, 623, 2574, 1411, 16213, 21122, 236761, 854, 236786, 236765, 236800, 236778, 236771, 236786, 605, 236761, 5067, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 71494, 827, 623, 41626, 1083, 623, 95602, 236785, 236756, 236771, 236771, 524, 12326, 827, 623, 38428, 1083, 236743, 236778, 236770, 236800, 236819, 236819, 236800, 236812, 236800, 236832, 236764, 623, 27617, 1083, 623, 236799, 8407, 827, 623, 56488, 236779, 19859, 1083, 623, 227601, 827, 623, 16213, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 82859, 236761, 5067, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 28892, 827, 623, 41626, 1083, 623, 89265, 827, 623, 38428, 1083, 236743, 236770, 236778, 236825, 236812, 236832, 236825, 236812, 236825, 236770, 236764, 623, 27617, 1083, 623, 198481, 827, 623, 56488, 236779, 19859, 1083, 623, 53187, 827, 623, 16213, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 26132, 236749, 236761, 5479, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 4808, 611, 15633, 236764, 45047, 573, 822, 15491, 19520, 236787, 108, 10354, 5213, 27211, 4184, 568, 18038, 62902, 107, 236772, 5213, 64753, 66515, 7693, 236764, 622, 236761, 236780, 236761, 138, 107, 236772, 5213, 48576, 66515, 236743, 236800, 236800, 236770, 236764, 236771, 236771, 236778, 236764, 236825, 236810, 236770, 138, 107, 236772, 5213, 51574, 66515, 23058, 568, 3118, 46754, 236768, 138, 107, 236772, 5213, 68734, 22160, 66515, 5422, 138, 107, 236772, 5213, 18574, 66515, 870, 2039, 28733, 5457, 2574, 1411, 16213, 21122, 236761, 854, 236786, 236765, 236800, 236778, 236771, 236786, 605, 236761, 5067, 236768, 138, 108, 10354, 5213, 71494, 568, 82859, 62902, 107, 236772, 5213, 64753, 66515, 170203, 138, 107, 236772, 5213, 48576, 66515, 236743, 236778, 236770, 236800, 236764, 236819, 236819, 236800, 236764, 236812, 236800, 236832, 138, 107, 236772, 5213, 51574, 66515, 603, 8407, 568, 204979, 10170, 236768, 138, 107, 236772, 5213, 68734, 22160, 66515, 41082, 138, 107, 236772, 5213, 18574, 66515, 870, 2039, 28733, 5457, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 82859, 236761, 5067, 236768, 138, 108, 10354, 5213, 28892, 568, 235451, 62902, 107, 236772, 5213, 64753, 66515, 21038, 138, 107, 236772, 5213, 48576, 66515, 236743, 236770, 236778, 236825, 236764, 236812, 236832, 236825, 236764, 236812, 236825, 236770, 138, 107, 236772, 5213, 51574, 66515, 730, 22965, 568, 53187, 81027, 236768, 138, 107, 236772, 5213, 68734, 22160, 66515, 12139, 138, 107, 236772, 5213, 18574, 66515, 870, 2039, 28733, 5457, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 26132, 236749, 236761, 5479, 236768, 138, 108, 236813, 5213, 10282, 66515, 669, 8134, 60973, 573, 14600, 532, 6056, 1161, 17709, 26104, 20442, 8358, 236761, 854, 59395, 1637, 1239, 1202, 1759, 236772, 12392, 8134, 4876, 236764, 564, 740, 1601, 16807, 653, 6253, 506, 5904, 6137, 531, 12270, 11459, 8134, 9851, 236761, 3792, 786, 1281, 236888, 236743, 244906, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10848, 3075, 496, 15491, 19520, 600, 66503, 39339, 699, 1607, 4808, 236761, 2282, 11006, 506, 19520, 4889, 236764, 564, 1202, 531, 9385, 1938, 1003, 506, 4808, 10725, 236761, 28344, 611, 1601, 786, 974, 506, 4889, 573, 506, 3640, 4184, 568, 154133, 3393, 8288, 779, 14600, 568, 82859, 779, 532, 6056, 568, 235451, 20625, 106, 107, 105, 4368, 107, 2021, 33205, 506, 2891, 4889, 573, 506, 3640, 4184, 568, 18038, 779, 14600, 568, 82859, 779, 532, 6056, 568, 235451, 779, 564, 1202, 531, 1281, 837, 3530, 6192, 611, 236789, 236753, 1133, 5012, 528, 506, 3072, 236761, 669, 2165, 828, 236779, 14801, 236779, 2003, 236779, 35658, 236746, 236779, 3970, 236929, 5904, 7087, 506, 2165, 14517, 236929, 7689, 531, 577, 9155, 568, 236744, 236761, 236759, 1126, 2165, 1201, 236764, 41626, 236764, 38428, 236764, 27617, 59395, 13752, 6192, 3204, 236787, 108, 236772, 2165, 1201, 236929, 568, 14801, 1463, 236768, 107, 236772, 2165, 41626, 236929, 107, 236772, 2165, 38428, 236929, 107, 236772, 2165, 7376, 236929, 107, 236772, 2165, 27617, 236929, 107, 236772, 2165, 56488, 236779, 19859, 236929, 107, 236772, 2165, 16213, 236929, 568, 3304, 10739, 236768, 108, 30092, 611, 37386, 837, 6192, 611, 236789, 236753, 1133, 573, 1546, 2891, 236881, 1701, 2591, 236787, 138, 107, 236775, 9366, 3204, 1463, 236764, 5279, 236764, 532, 5499, 573, 784, 1806, 4808, 1781, 106, 107, 105, 2364, 107, 9366, 3204, 1463, 236764, 5279, 236764, 5499, 236764, 15130, 236764, 5125, 236779, 19859, 236764, 532, 8134, 573, 1546, 2891, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 27211, 4184, 827, 623, 41626, 1083, 623, 42804, 236764, 622, 236761, 236780, 10498, 623, 38428, 1083, 236743, 236800, 236800, 236770, 236771, 236771, 236778, 236825, 236810, 236770, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56488, 236779, 19859, 1083, 623, 27832, 827, 623, 16213, 1083, 623, 2574, 1411, 16213, 21122, 236761, 854, 236786, 236765, 236800, 236778, 236771, 236786, 605, 236761, 5067, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 71494, 827, 623, 41626, 1083, 623, 95602, 236785, 236756, 236771, 236771, 524, 12326, 827, 623, 38428, 1083, 236743, 236778, 236770, 236800, 236819, 236819, 236800, 236812, 236800, 236832, 236764, 623, 27617, 1083, 623, 236799, 8407, 827, 623, 56488, 236779, 19859, 1083, 623, 227601, 827, 623, 16213, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 82859, 236761, 5067, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 28892, 827, 623, 41626, 1083, 623, 89265, 827, 623, 38428, 1083, 236743, 236770, 236778, 236825, 236812, 236832, 236825, 236812, 236825, 236770, 236764, 623, 27617, 1083, 623, 198481, 827, 623, 56488, 236779, 19859, 1083, 623, 53187, 827, 623, 16213, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 26132, 236749, 236761, 5479, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 4808, 611, 15633, 236764, 45047, 573, 822, 15491, 19520, 236787, 108, 10354, 5213, 27211, 4184, 568, 18038, 62902, 107, 236772, 5213, 64753, 66515, 7693, 236764, 622, 236761, 236780, 236761, 138, 107, 236772, 5213, 48576, 66515, 236743, 236800, 236800, 236770, 236764, 236771, 236771, 236778, 236764, 236825, 236810, 236770, 138, 107, 236772, 5213, 51574, 66515, 23058, 568, 3118, 46754, 236768, 138, 107, 236772, 5213, 68734, 22160, 66515, 5422, 138, 107, 236772, 5213, 18574, 66515, 870, 2039, 28733, 5457, 2574, 1411, 16213, 21122, 236761, 854, 236786, 236765, 236800, 236778, 236771, 236786, 605, 236761, 5067, 236768, 138, 108, 10354, 5213, 71494, 568, 82859, 62902, 107, 236772, 5213, 64753, 66515, 170203, 138, 107, 236772, 5213, 48576, 66515, 236743, 236778, 236770, 236800, 236764, 236819, 236819, 236800, 236764, 236812, 236800, 236832, 138, 107, 236772, 5213, 51574, 66515, 603, 8407, 568, 204979, 10170, 236768, 138, 107, 236772, 5213, 68734, 22160, 66515, 41082, 138, 107, 236772, 5213, 18574, 66515, 870, 2039, 28733, 5457, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 82859, 236761, 5067, 236768, 138, 108, 10354, 5213, 28892, 568, 235451, 62902, 107, 236772, 5213, 64753, 66515, 21038, 138, 107, 236772, 5213, 48576, 66515, 236743, 236770, 236778, 236825, 236764, 236812, 236832, 236825, 236764, 236812, 236825, 236770, 138, 107, 236772, 5213, 51574, 66515, 730, 22965, 568, 53187, 81027, 236768, 138, 107, 236772, 5213, 68734, 22160, 66515, 12139, 138, 107, 236772, 5213, 18574, 66515, 870, 2039, 28733, 5457, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 26132, 236749, 236761, 5479, 236768, 138, 108, 236813, 5213, 10282, 66515, 669, 8134, 60973, 573, 14600, 532, 6056, 1161, 17709, 26104, 20442, 8358, 236761, 854, 59395, 1637, 1239, 1202, 1759, 236772, 12392, 8134, 4876, 236764, 564, 740, 1601, 16807, 653, 6253, 506, 5904, 6137, 531, 12270, 11459, 8134, 9851, 236761, 3792, 786, 1281, 236888, 236743, 244906, 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, 506, 6524, 1262, 580, 90684, 14508, 236761, 3199, 611, 6361, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 26936, 3393, 573, 90684, 14508, 531, 33205, 506, 6524, 1262, 236761, 28344, 611, 5091, 9128, 506, 4338, 26936, 3393, 236881, 568, 10282, 236787, 669, 3678, 1550, 1456, 528, 506, 5904, 563, 236743, 236832, 236778, 236771, 236800, 236764, 840, 672, 1149, 711, 577, 4338, 573, 90684, 236768, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 506, 6524, 1262, 580, 90684, 14508, 236761, 3199, 611, 6361, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 26936, 3393, 573, 90684, 14508, 531, 33205, 506, 6524, 1262, 236761, 28344, 611, 5091, 9128, 506, 4338, 26936, 3393, 236881, 568, 10282, 236787, 669, 3678, 1550, 1456, 528, 506, 5904, 563, 236743, 236832, 236778, 236771, 236800, 236764, 840, 672, 1149, 711, 577, 4338, 573, 90684, 236768, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 44426, 3393, 573, 506, 3399, 3988, 18669, 2148, 2069, 236764, 840, 564, 18492, 506, 15020, 10739, 236761, 3199, 611, 1601, 236881, 106, 107, 105, 4368, 107, 236777, 1202, 506, 15020, 10739, 531, 2619, 506, 44426, 3393, 236761, 28344, 611, 5091, 2847, 506, 4338, 4108, 3421, 573, 506, 3399, 3988, 18669, 15020, 236881, 19446, 672, 236764, 564, 740, 236789, 236745, 8729, 506, 44426, 3393, 236761, 106, 107, 105, 2364, 107, 818, 3399, 3988, 563, 528, 91927, 236764, 23316, 236761, 3551, 15375, 659, 236743, 236800, 236810, 236761, 236832, 236819, 236770, 236825, 236825, 236832, 236764, 753, 236832, 236828, 236761, 236832, 236828, 236770, 236825, 236825, 236832, 236761, 3199, 611, 3927, 573, 623, 37939, 3988, 18669, 15020, 236775, 1590, 531, 1586, 506, 10739, 1171, 236881, 564, 1751, 600, 236789, 236751, 506, 1186, 1595, 531, 974, 506, 4338, 3205, 2338, 564, 740, 236789, 236745, 5630, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236794, 54064, 11493, 6022, 827, 623, 7720, 1083, 623, 236778, 236778, 236770, 236770, 649, 13106, 40695, 16351, 236764, 61040, 236764, 23316, 236743, 236778, 236832, 236825, 236770, 236810, 827, 623, 31935, 1083, 623, 2574, 1411, 236750, 54064, 37939, 3873, 236761, 2187, 236786, 141805, 236772, 50990, 827, 623, 80061, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236825, 236764, 623, 2811, 236779, 547, 1083, 623, 1659, 107007, 236750, 236812, 236755, 1553, 236770, 236771, 1129, 236812, 236767, 236794, 236832, 209639, 236772, 236771, 236828, 58565, 236836, 236825, 236874, 25938, 1604, 623, 2305, 236779, 3873, 1083, 3714, 8938, 1083, 236743, 236800, 236810, 236761, 236832, 236819, 236770, 236825, 236825, 236832, 236764, 623, 68520, 1083, 753, 236832, 236828, 236761, 236832, 236828, 236770, 236825, 236825, 236832, 1263, 623, 35076, 236779, 5909, 1083, 236743, 236770, 236810, 236764, 623, 10480, 236779, 58578, 1083, 623, 11480, 25938, 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, 170274, 236772, 3677, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 28180, 236770, 236778, 236800, 827, 623, 4818, 1083, 623, 38943, 3393, 7835, 10428, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 44426, 3393, 573, 506, 3399, 3988, 18669, 15020, 236787, 107, 244854, 870, 18086, 44426, 8739, 5457, 2574, 1411, 170274, 236772, 3677, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 28180, 236770, 236778, 236800, 236768, 108, 236777, 10428, 1765, 506, 15020, 3104, 573, 61040, 11493, 6022, 657, 236743, 236778, 236778, 236770, 236770, 649, 13106, 40695, 16351, 236764, 61040, 236764, 23316, 236743, 236778, 236832, 236825, 236770, 236810, 236761, 669, 44426, 3393, 795, 1982, 531, 236787, 4560, 1411, 236750, 54064, 37939, 3873, 236761, 2187, 236786, 141805, 236772, 50990, 108, 6481, 786, 1281, 768, 611, 1202, 1027, 30981, 653, 768, 672, 88048, 822, 2864, 236888, 106, 107, 105, 2364, 107, 20470, 236764, 564, 1164, 14995, 506, 3927, 2536, 964, 573, 61040, 11493, 6022, 236764, 840, 564, 1202, 506, 886, 528, 91927, 236764, 23316, 236761, 28344, 611, 544, 4256, 1699, 506, 3207, 1463, 623, 236780, 835, 236775, 5205, 529, 15375, 236881, 15704, 506, 15375, 5378, 531, 61040, 684, 18932, 236761, 3792, 236789, 236751, 2056, 19460, 573, 623, 236780, 835, 11493, 6022, 18669, 15020, 236775, 657, 506, 1638, 15375, 531, 9128, 506, 4338, 10739, 236761, 9920, 692, 16807, 506, 91927, 236772, 15396, 10739, 236764, 692, 740, 117862, 506, 44426, 3393, 607, 506, 11459, 3205, 236761, 3792, 786, 1281, 768, 506, 26885, 3927, 7623, 496, 1607, 15020, 3104, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236780, 835, 11493, 6022, 827, 623, 31935, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 11518, 1340, 151867, 236761, 2187, 236786, 141805, 236772, 50990, 827, 623, 15080, 1083, 236743, 236770, 236764, 623, 7720, 1083, 623, 236770, 236771, 236771, 1799, 10892, 18977, 236764, 91927, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236832, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236810, 236761, 236832, 236819, 236770, 236825, 236825, 236832, 236764, 623, 68520, 1083, 753, 236832, 236828, 236761, 236832, 236828, 236770, 236825, 236825, 236832, 1807, 1604, 623, 2305, 236779, 6011, 1083, 3714, 3278, 1083, 623, 236780, 835, 11493, 6022, 18669, 15020, 827, 623, 35076, 236779, 5909, 1083, 236743, 236770, 236810, 236764, 623, 10480, 236779, 2084, 1083, 623, 1201, 127096, 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, 170274, 236761, 8358, 236761, 854, 236786, 19057, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 32107, 44426, 3393, 573, 506, 91927, 11493, 6022, 18669, 15020, 236787, 107, 244854, 870, 18086, 58940, 524, 44426, 8739, 5457, 2574, 1411, 170274, 236761, 8358, 236761, 854, 236786, 19057, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 236768, 108, 1018, 3503, 47203, 53121, 107, 236770, 236761, 13810, 8593, 506, 4338, 19573, 657, 91927, 11493, 6022, 568, 236770, 236771, 236771, 1799, 10892, 18977, 236764, 91927, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236832, 236768, 107, 236778, 236761, 128731, 506, 5125, 10739, 236787, 4560, 1411, 2769, 236761, 11518, 1340, 151867, 236761, 2187, 236786, 141805, 236772, 50990, 107, 236800, 236761, 176088, 774, 44426, 3393, 607, 506, 11459, 4563, 236772, 15396, 3205, 108, 818, 15375, 964, 4338, 568, 236780, 835, 236764, 23316, 779, 840, 506, 4068, 3927, 3149, 14481, 4928, 529, 623, 236780, 835, 236775, 531, 12647, 506, 3678, 27672, 8417, 600, 124406, 61040, 2536, 236761, 669, 861, 44426, 3393, 1492, 65392, 531, 506, 2005, 91927, 236772, 15396, 15020, 3104, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 44426, 3393, 573, 506, 3399, 3988, 18669, 2148, 2069, 236764, 840, 564, 18492, 506, 15020, 10739, 236761, 3199, 611, 1601, 236881, 106, 107, 105, 4368, 107, 236777, 1202, 506, 15020, 10739, 531, 2619, 506, 44426, 3393, 236761, 28344, 611, 5091, 2847, 506, 4338, 4108, 3421, 573, 506, 3399, 3988, 18669, 15020, 236881, 19446, 672, 236764, 564, 740, 236789, 236745, 8729, 506, 44426, 3393, 236761, 106, 107, 105, 2364, 107, 818, 3399, 3988, 563, 528, 91927, 236764, 23316, 236761, 3551, 15375, 659, 236743, 236800, 236810, 236761, 236832, 236819, 236770, 236825, 236825, 236832, 236764, 753, 236832, 236828, 236761, 236832, 236828, 236770, 236825, 236825, 236832, 236761, 3199, 611, 3927, 573, 623, 37939, 3988, 18669, 15020, 236775, 1590, 531, 1586, 506, 10739, 1171, 236881, 564, 1751, 600, 236789, 236751, 506, 1186, 1595, 531, 974, 506, 4338, 3205, 2338, 564, 740, 236789, 236745, 5630, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236794, 54064, 11493, 6022, 827, 623, 7720, 1083, 623, 236778, 236778, 236770, 236770, 649, 13106, 40695, 16351, 236764, 61040, 236764, 23316, 236743, 236778, 236832, 236825, 236770, 236810, 827, 623, 31935, 1083, 623, 2574, 1411, 236750, 54064, 37939, 3873, 236761, 2187, 236786, 141805, 236772, 50990, 827, 623, 80061, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236825, 236764, 623, 2811, 236779, 547, 1083, 623, 1659, 107007, 236750, 236812, 236755, 1553, 236770, 236771, 1129, 236812, 236767, 236794, 236832, 209639, 236772, 236771, 236828, 58565, 236836, 236825, 236874, 25938, 1604, 623, 2305, 236779, 3873, 1083, 3714, 8938, 1083, 236743, 236800, 236810, 236761, 236832, 236819, 236770, 236825, 236825, 236832, 236764, 623, 68520, 1083, 753, 236832, 236828, 236761, 236832, 236828, 236770, 236825, 236825, 236832, 1263, 623, 35076, 236779, 5909, 1083, 236743, 236770, 236810, 236764, 623, 10480, 236779, 58578, 1083, 623, 11480, 25938, 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, 170274, 236772, 3677, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 28180, 236770, 236778, 236800, 827, 623, 4818, 1083, 623, 38943, 3393, 7835, 10428, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 44426, 3393, 573, 506, 3399, 3988, 18669, 15020, 236787, 107, 244854, 870, 18086, 44426, 8739, 5457, 2574, 1411, 170274, 236772, 3677, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 28180, 236770, 236778, 236800, 236768, 108, 236777, 10428, 1765, 506, 15020, 3104, 573, 61040, 11493, 6022, 657, 236743, 236778, 236778, 236770, 236770, 649, 13106, 40695, 16351, 236764, 61040, 236764, 23316, 236743, 236778, 236832, 236825, 236770, 236810, 236761, 669, 44426, 3393, 795, 1982, 531, 236787, 4560, 1411, 236750, 54064, 37939, 3873, 236761, 2187, 236786, 141805, 236772, 50990, 108, 6481, 786, 1281, 768, 611, 1202, 1027, 30981, 653, 768, 672, 88048, 822, 2864, 236888, 106, 107, 105, 2364, 107, 20470, 236764, 564, 1164, 14995, 506, 3927, 2536, 964, 573, 61040, 11493, 6022, 236764, 840, 564, 1202, 506, 886, 528, 91927, 236764, 23316, 236761, 28344, 611, 544, 4256, 1699, 506, 3207, 1463, 623, 236780, 835, 236775, 5205, 529, 15375, 236881, 15704, 506, 15375, 5378, 531, 61040, 684, 18932, 236761, 3792, 236789, 236751, 2056, 19460, 573, 623, 236780, 835, 11493, 6022, 18669, 15020, 236775, 657, 506, 1638, 15375, 531, 9128, 506, 4338, 10739, 236761, 9920, 692, 16807, 506, 91927, 236772, 15396, 10739, 236764, 692, 740, 117862, 506, 44426, 3393, 607, 506, 11459, 3205, 236761, 3792, 786, 1281, 768, 506, 26885, 3927, 7623, 496, 1607, 15020, 3104, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236780, 835, 11493, 6022, 827, 623, 31935, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 11518, 1340, 151867, 236761, 2187, 236786, 141805, 236772, 50990, 827, 623, 15080, 1083, 236743, 236770, 236764, 623, 7720, 1083, 623, 236770, 236771, 236771, 1799, 10892, 18977, 236764, 91927, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236832, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236810, 236761, 236832, 236819, 236770, 236825, 236825, 236832, 236764, 623, 68520, 1083, 753, 236832, 236828, 236761, 236832, 236828, 236770, 236825, 236825, 236832, 1807, 1604, 623, 2305, 236779, 6011, 1083, 3714, 3278, 1083, 623, 236780, 835, 11493, 6022, 18669, 15020, 827, 623, 35076, 236779, 5909, 1083, 236743, 236770, 236810, 236764, 623, 10480, 236779, 2084, 1083, 623, 1201, 127096, 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, 170274, 236761, 8358, 236761, 854, 236786, 19057, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 32107, 44426, 3393, 573, 506, 91927, 11493, 6022, 18669, 15020, 236787, 107, 244854, 870, 18086, 58940, 524, 44426, 8739, 5457, 2574, 1411, 170274, 236761, 8358, 236761, 854, 236786, 19057, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 236768, 108, 1018, 3503, 47203, 53121, 107, 236770, 236761, 13810, 8593, 506, 4338, 19573, 657, 91927, 11493, 6022, 568, 236770, 236771, 236771, 1799, 10892, 18977, 236764, 91927, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236832, 236768, 107, 236778, 236761, 128731, 506, 5125, 10739, 236787, 4560, 1411, 2769, 236761, 11518, 1340, 151867, 236761, 2187, 236786, 141805, 236772, 50990, 107, 236800, 236761, 176088, 774, 44426, 3393, 607, 506, 11459, 4563, 236772, 15396, 3205, 108, 818, 15375, 964, 4338, 568, 236780, 835, 236764, 23316, 779, 840, 506, 4068, 3927, 3149, 14481, 4928, 529, 623, 236780, 835, 236775, 531, 12647, 506, 3678, 27672, 8417, 600, 124406, 61040, 2536, 236761, 669, 861, 44426, 3393, 1492, 65392, 531, 506, 2005, 91927, 236772, 15396, 15020, 3104, 236761, 106, 107 ]