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, 16011, 872, 531, 1932, 1041, 1852, 1944, 10002, 7805, 236764, 532, 564, 1461, 531, 3050, 1217, 6693, 2142, 6224, 2473, 4208, 1041, 3402, 1960, 15682, 653, 1027, 5251, 25684, 564, 2473, 981, 607, 236761, 3199, 611, 1601, 786, 18840, 506, 42210, 158667, 6224, 236881, 5315, 236764, 564, 236789, 236753, 1133, 531, 1460, 1144, 4458, 529, 42210, 158667, 6224, 659, 2487, 236761, 4298, 236764, 2721, 580, 600, 1694, 236764, 564, 1461, 531, 3213, 580, 506, 1346, 7798, 3136, 1722, 573, 1944, 1960, 6995, 532, 974, 506, 236743, 236770, 236778, 236772, 11283, 11858, 1262, 573, 625, 236761, 3792, 236858, 236751, 1502, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 236779, 9846, 1083, 78493, 547, 1083, 623, 236788, 1140, 5299, 827, 623, 1201, 1083, 623, 4330, 9467, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 131727, 3136, 573, 24602, 939, 15433, 15682, 528, 506, 210286, 10498, 623, 230023, 236779, 23735, 1083, 623, 236770, 1719, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236770, 236824, 827, 623, 1201, 1083, 623, 236770, 236772, 27962, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 97850, 36779, 939, 15433, 8375, 3136, 573, 14135, 227722, 15682, 10498, 623, 230023, 236779, 23735, 1083, 623, 236832, 2668, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236770, 236792, 827, 623, 1201, 1083, 623, 236770, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 23395, 236772, 6061, 30998, 3136, 573, 210286, 939, 15433, 34387, 607, 236743, 236770, 236772, 11283, 36779, 10498, 623, 230023, 236779, 23735, 1083, 623, 236770, 2297, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236800, 236792, 827, 623, 1201, 1083, 623, 236800, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 21108, 3136, 573, 7860, 236772, 6061, 210286, 939, 15433, 15682, 236764, 12865, 1456, 618, 496, 5577, 573, 4867, 3211, 10498, 623, 230023, 236779, 23735, 1083, 623, 236800, 3794, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236825, 236792, 827, 623, 1201, 1083, 623, 236825, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 131727, 3136, 573, 3746, 236772, 3704, 14135, 227722, 939, 15433, 15682, 10498, 623, 230023, 236779, 23735, 1083, 623, 236825, 3794, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236770, 236778, 236792, 827, 623, 1201, 1083, 623, 236770, 236778, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 12059, 598, 36779, 42210, 158667, 3136, 236764, 14003, 44112, 573, 7384, 15682, 532, 1960, 22617, 23047, 10498, 623, 230023, 236779, 23735, 1083, 623, 236770, 236778, 3794, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 236779, 2084, 1083, 623, 236800, 236772, 23403, 42210, 158667, 827, 623, 1516, 236779, 11116, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236770, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236819, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236832, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236812, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236819, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236778, 236778, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236770, 236812, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236771, 236810, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236771, 236761, 236771, 236812, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236771, 236761, 236770, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236771, 236761, 236778, 236770, 236828, 104960, 623, 6011, 1083, 3714, 28128, 236779, 4720, 1083, 753, 236771, 236761, 236778, 236770, 236764, 623, 58043, 1083, 623, 22406, 884, 3553, 699, 5676, 531, 4414, 18022, 236764, 17674, 74721, 26680, 4957, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 42210, 158667, 6224, 7798, 531, 822, 1944, 1960, 6995, 236787, 108, 1018, 236770, 236761, 18326, 42210, 158667, 25870, 39728, 53121, 107, 236772, 131199, 568, 236788, 1140, 5299, 236768, 531, 236743, 236770, 236778, 236772, 11283, 6224, 2487, 107, 236772, 7660, 7798, 573, 1944, 1960, 236787, 5213, 236800, 236772, 23403, 42210, 158667, 25870, 568, 236788, 20188, 1579, 236772, 236800, 236792, 62902, 753, 12865, 1456, 573, 2822, 236772, 6061, 1960, 22617, 108, 1018, 236778, 236761, 236743, 236770, 236778, 236772, 23403, 34641, 27593, 568, 236800, 236772, 23403, 42210, 158667, 1473, 1018, 107, 236772, 25870, 7808, 699, 5213, 236772, 236771, 236761, 236810, 236770, 236778, 236908, 568, 20123, 236743, 236778, 236771, 236778, 236778, 62902, 531, 5213, 236862, 236771, 236761, 236778, 236770, 236828, 236908, 568, 24683, 236743, 236778, 236771, 236778, 236800, 62902, 107, 236772, 29748, 3136, 236787, 5213, 236772, 236771, 236761, 236778, 236770, 236908, 1018, 107, 236772, 25179, 31097, 7003, 6807, 74721, 26680, 4957, 108, 1018, 66207, 13768, 573, 5180, 7449, 53121, 108, 1018, 17844, 77108, 53121, 107, 236772, 37785, 236772, 4720, 15682, 19240, 531, 42210, 158667, 1093, 735, 5683, 5384, 568, 57362, 236743, 236771, 236761, 236832, 236908, 8570, 528, 236743, 236770, 236778, 3794, 236768, 107, 236772, 14066, 6530, 236772, 4720, 15682, 1492, 531, 6623, 528, 3718, 6224, 1680, 3342, 8110, 107, 236772, 14040, 4414, 3136, 3453, 19375, 5416, 15621, 573, 18241, 22617, 108, 1018, 28061, 144953, 53121, 107, 236772, 16152, 13873, 25684, 1149, 3392, 3715, 22617, 5384, 568, 77951, 1343, 528, 21212, 236768, 107, 236772, 14066, 57105, 7548, 3755, 568, 236744, 236761, 236759, 1126, 3649, 7548, 36498, 236768, 107, 236772, 26295, 15130, 8770, 21255, 16195, 3136, 3731, 108, 1018, 211199, 53121, 236743, 107, 818, 15213, 7003, 12205, 6995, 573, 3715, 44634, 5384, 528, 236743, 236778, 236771, 236778, 236812, 236761, 1701, 822, 4068, 22617, 3548, 236764, 1966, 236787, 107, 236770, 236761, 41317, 236772, 4720, 15682, 573, 236743, 236770, 236778, 236772, 236778, 236812, 3794, 107, 236778, 236761, 16087, 236743, 236771, 236761, 236810, 236772, 236770, 236908, 7384, 2142, 3136, 11345, 1131, 4867, 35719, 107, 236800, 236761, 63919, 4867, 10595, 531, 7020, 3136, 18506, 108, 38786, 611, 1133, 786, 531, 1601, 2028, 3530, 10670, 25521, 653, 27313, 2157, 15621, 1699, 672, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 16011, 872, 531, 1932, 1041, 1852, 1944, 10002, 7805, 236764, 532, 564, 1461, 531, 3050, 1217, 6693, 2142, 6224, 2473, 4208, 1041, 3402, 1960, 15682, 653, 1027, 5251, 25684, 564, 2473, 981, 607, 236761, 3199, 611, 1601, 786, 18840, 506, 42210, 158667, 6224, 236881, 5315, 236764, 564, 236789, 236753, 1133, 531, 1460, 1144, 4458, 529, 42210, 158667, 6224, 659, 2487, 236761, 4298, 236764, 2721, 580, 600, 1694, 236764, 564, 1461, 531, 3213, 580, 506, 1346, 7798, 3136, 1722, 573, 1944, 1960, 6995, 532, 974, 506, 236743, 236770, 236778, 236772, 11283, 11858, 1262, 573, 625, 236761, 3792, 236858, 236751, 1502, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 236779, 9846, 1083, 78493, 547, 1083, 623, 236788, 1140, 5299, 827, 623, 1201, 1083, 623, 4330, 9467, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 131727, 3136, 573, 24602, 939, 15433, 15682, 528, 506, 210286, 10498, 623, 230023, 236779, 23735, 1083, 623, 236770, 1719, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236770, 236824, 827, 623, 1201, 1083, 623, 236770, 236772, 27962, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 97850, 36779, 939, 15433, 8375, 3136, 573, 14135, 227722, 15682, 10498, 623, 230023, 236779, 23735, 1083, 623, 236832, 2668, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236770, 236792, 827, 623, 1201, 1083, 623, 236770, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 23395, 236772, 6061, 30998, 3136, 573, 210286, 939, 15433, 34387, 607, 236743, 236770, 236772, 11283, 36779, 10498, 623, 230023, 236779, 23735, 1083, 623, 236770, 2297, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236800, 236792, 827, 623, 1201, 1083, 623, 236800, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 21108, 3136, 573, 7860, 236772, 6061, 210286, 939, 15433, 15682, 236764, 12865, 1456, 618, 496, 5577, 573, 4867, 3211, 10498, 623, 230023, 236779, 23735, 1083, 623, 236800, 3794, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236825, 236792, 827, 623, 1201, 1083, 623, 236825, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 131727, 3136, 573, 3746, 236772, 3704, 14135, 227722, 939, 15433, 15682, 10498, 623, 230023, 236779, 23735, 1083, 623, 236825, 3794, 23179, 3714, 547, 1083, 623, 236788, 20188, 1579, 236772, 236770, 236778, 236792, 827, 623, 1201, 1083, 623, 236770, 236778, 236772, 23403, 42210, 158667, 25870, 827, 623, 7777, 1083, 623, 12059, 598, 36779, 42210, 158667, 3136, 236764, 14003, 44112, 573, 7384, 15682, 532, 1960, 22617, 23047, 10498, 623, 230023, 236779, 23735, 1083, 623, 236770, 236778, 3794, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 236779, 2084, 1083, 623, 236800, 236772, 23403, 42210, 158667, 827, 623, 1516, 236779, 11116, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236770, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236819, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236832, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236812, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236819, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236778, 236778, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236770, 236812, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236770, 827, 623, 4720, 1083, 753, 236771, 236761, 236771, 236810, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236771, 236761, 236771, 236812, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236771, 236761, 236770, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236771, 236761, 236778, 236770, 236828, 104960, 623, 6011, 1083, 3714, 28128, 236779, 4720, 1083, 753, 236771, 236761, 236778, 236770, 236764, 623, 58043, 1083, 623, 22406, 884, 3553, 699, 5676, 531, 4414, 18022, 236764, 17674, 74721, 26680, 4957, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 42210, 158667, 6224, 7798, 531, 822, 1944, 1960, 6995, 236787, 108, 1018, 236770, 236761, 18326, 42210, 158667, 25870, 39728, 53121, 107, 236772, 131199, 568, 236788, 1140, 5299, 236768, 531, 236743, 236770, 236778, 236772, 11283, 6224, 2487, 107, 236772, 7660, 7798, 573, 1944, 1960, 236787, 5213, 236800, 236772, 23403, 42210, 158667, 25870, 568, 236788, 20188, 1579, 236772, 236800, 236792, 62902, 753, 12865, 1456, 573, 2822, 236772, 6061, 1960, 22617, 108, 1018, 236778, 236761, 236743, 236770, 236778, 236772, 23403, 34641, 27593, 568, 236800, 236772, 23403, 42210, 158667, 1473, 1018, 107, 236772, 25870, 7808, 699, 5213, 236772, 236771, 236761, 236810, 236770, 236778, 236908, 568, 20123, 236743, 236778, 236771, 236778, 236778, 62902, 531, 5213, 236862, 236771, 236761, 236778, 236770, 236828, 236908, 568, 24683, 236743, 236778, 236771, 236778, 236800, 62902, 107, 236772, 29748, 3136, 236787, 5213, 236772, 236771, 236761, 236778, 236770, 236908, 1018, 107, 236772, 25179, 31097, 7003, 6807, 74721, 26680, 4957, 108, 1018, 66207, 13768, 573, 5180, 7449, 53121, 108, 1018, 17844, 77108, 53121, 107, 236772, 37785, 236772, 4720, 15682, 19240, 531, 42210, 158667, 1093, 735, 5683, 5384, 568, 57362, 236743, 236771, 236761, 236832, 236908, 8570, 528, 236743, 236770, 236778, 3794, 236768, 107, 236772, 14066, 6530, 236772, 4720, 15682, 1492, 531, 6623, 528, 3718, 6224, 1680, 3342, 8110, 107, 236772, 14040, 4414, 3136, 3453, 19375, 5416, 15621, 573, 18241, 22617, 108, 1018, 28061, 144953, 53121, 107, 236772, 16152, 13873, 25684, 1149, 3392, 3715, 22617, 5384, 568, 77951, 1343, 528, 21212, 236768, 107, 236772, 14066, 57105, 7548, 3755, 568, 236744, 236761, 236759, 1126, 3649, 7548, 36498, 236768, 107, 236772, 26295, 15130, 8770, 21255, 16195, 3136, 3731, 108, 1018, 211199, 53121, 236743, 107, 818, 15213, 7003, 12205, 6995, 573, 3715, 44634, 5384, 528, 236743, 236778, 236771, 236778, 236812, 236761, 1701, 822, 4068, 22617, 3548, 236764, 1966, 236787, 107, 236770, 236761, 41317, 236772, 4720, 15682, 573, 236743, 236770, 236778, 236772, 236778, 236812, 3794, 107, 236778, 236761, 16087, 236743, 236771, 236761, 236810, 236772, 236770, 236908, 7384, 2142, 3136, 11345, 1131, 4867, 35719, 107, 236800, 236761, 63919, 4867, 10595, 531, 7020, 3136, 18506, 108, 38786, 611, 1133, 786, 531, 1601, 2028, 3530, 10670, 25521, 653, 27313, 2157, 15621, 1699, 672, 1262, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 9795, 30493, 496, 3399, 7972, 4469, 531, 8175, 8775, 573, 1023, 2263, 3988, 236764, 532, 564, 1461, 531, 2619, 7068, 236772, 83228, 42527, 36291, 600, 4926, 496, 43810, 236772, 3061, 16855, 529, 1041, 5226, 4799, 236764, 53765, 236764, 1015, 691, 496, 27867, 26215, 657, 1023, 4749, 236761, 564, 236858, 560, 39788, 1116, 4429, 531, 506, 1458, 236764, 840, 564, 1202, 1601, 134069, 506, 16855, 607, 3530, 4820, 236787, 496, 19833, 3730, 532, 5122, 2258, 10165, 531, 4241, 1023, 7972, 236858, 236751, 23947, 236764, 496, 1695, 529, 32568, 532, 116487, 568, 3307, 36792, 779, 532, 53765, 9922, 496, 1944, 18193, 18130, 5205, 529, 6672, 19833, 1157, 14654, 236761, 669, 1816, 1374, 3204, 999, 11640, 4395, 236858, 236751, 19871, 10990, 1271, 12447, 59100, 11493, 236764, 3656, 33438, 657, 496, 7578, 236919, 528, 614, 19185, 8948, 236761, 3199, 611, 8214, 786, 1343, 506, 61988, 1657, 531, 5330, 506, 16855, 41080, 1116, 7304, 532, 1023, 7824, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 60171, 236772, 34334, 236772, 236832, 236828, 236819, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 12697, 1854, 236779, 48905, 827, 623, 92386, 236779, 13308, 1083, 3714, 7043, 236779, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236752, 5216, 236779, 14007, 236761, 4034, 827, 623, 13769, 2392, 236779, 22806, 1083, 623, 12697, 236779, 101606, 827, 623, 3061, 236779, 92062, 1083, 3714, 7682, 1083, 623, 12697, 236779, 101606, 827, 623, 3001, 236779, 67401, 1083, 623, 22278, 236779, 3993, 876, 23179, 623, 85972, 236779, 8114, 1083, 2416, 236764, 623, 33686, 236779, 23184, 1083, 623, 56424, 3730, 532, 5122, 2258, 10165, 607, 32568, 236786, 16283, 46646, 1695, 236761, 71387, 18130, 5205, 529, 1157, 14654, 236761, 4140, 1816, 236787, 756, 11640, 4395, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 19871, 10990, 621, 236756, 236778, 236771, 236770, 236800, 12447, 59100, 11493, 236764, 3656, 33438, 657, 496, 7578, 236789, 528, 19185, 8948, 236761, 69378, 53765, 236789, 236751, 14617, 7304, 532, 7972, 7824, 221476, 623, 4874, 236779, 25438, 1083, 623, 140226, 795, 3540, 822, 61988, 2864, 532, 2847, 496, 7724, 2351, 236743, 236778, 1960, 2668, 236761, 1599, 1149, 34767, 653, 2864, 76431, 1680, 1626, 16386, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 822, 34037, 43810, 4493, 16855, 2864, 573, 53765, 236787, 108, 1018, 70329, 5853, 53121, 36176, 236772, 34334, 236772, 236832, 236828, 236819, 236812, 236810, 236825, 138, 107, 1018, 6717, 53121, 13287, 1854, 528, 5609, 138, 107, 1018, 3503, 38456, 13810, 8593, 53121, 138, 107, 236772, 113452, 12194, 3730, 833, 5122, 2258, 10165, 607, 5122, 67824, 138, 107, 236772, 236743, 241882, 243755, 13287, 7972, 1695, 66051, 32568, 532, 116487, 138, 107, 236772, 236743, 244608, 71387, 18130, 23612, 6672, 1157, 14654, 138, 107, 236772, 623, 11640, 4395, 236858, 236751, 19871, 10990, 1271, 12447, 59100, 11493, 236764, 3656, 33438, 657, 496, 7578, 236775, 528, 19185, 8948, 39137, 138, 107, 236772, 43314, 7304, 33862, 1343, 43810, 25075, 8403, 138, 108, 1018, 94394, 53121, 138, 107, 245838, 58887, 795, 4024, 496, 7724, 2351, 236743, 236778, 1960, 2668, 138, 107, 240732, 84702, 236786, 500, 60744, 4771, 2269, 7724, 8341, 138, 107, 478, 397, 388, 406, 238178, 16187, 16386, 1308, 822, 13196, 138, 108, 38786, 611, 1133, 531, 1138, 20583, 2509, 6131, 236800, 236810, 11317, 236768, 531, 127541, 506, 236743, 236778, 236772, 1496, 7724, 34315, 236881, 1174, 1093, 5330, 76431, 740, 3654, 6842, 768, 4354, 573, 822, 2460, 6995, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 9795, 30493, 496, 3399, 7972, 4469, 531, 8175, 8775, 573, 1023, 2263, 3988, 236764, 532, 564, 1461, 531, 2619, 7068, 236772, 83228, 42527, 36291, 600, 4926, 496, 43810, 236772, 3061, 16855, 529, 1041, 5226, 4799, 236764, 53765, 236764, 1015, 691, 496, 27867, 26215, 657, 1023, 4749, 236761, 564, 236858, 560, 39788, 1116, 4429, 531, 506, 1458, 236764, 840, 564, 1202, 1601, 134069, 506, 16855, 607, 3530, 4820, 236787, 496, 19833, 3730, 532, 5122, 2258, 10165, 531, 4241, 1023, 7972, 236858, 236751, 23947, 236764, 496, 1695, 529, 32568, 532, 116487, 568, 3307, 36792, 779, 532, 53765, 9922, 496, 1944, 18193, 18130, 5205, 529, 6672, 19833, 1157, 14654, 236761, 669, 1816, 1374, 3204, 999, 11640, 4395, 236858, 236751, 19871, 10990, 1271, 12447, 59100, 11493, 236764, 3656, 33438, 657, 496, 7578, 236919, 528, 614, 19185, 8948, 236761, 3199, 611, 8214, 786, 1343, 506, 61988, 1657, 531, 5330, 506, 16855, 41080, 1116, 7304, 532, 1023, 7824, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 60171, 236772, 34334, 236772, 236832, 236828, 236819, 236812, 236810, 236825, 827, 623, 4818, 1083, 623, 12697, 1854, 236779, 48905, 827, 623, 92386, 236779, 13308, 1083, 3714, 7043, 236779, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236752, 5216, 236779, 14007, 236761, 4034, 827, 623, 13769, 2392, 236779, 22806, 1083, 623, 12697, 236779, 101606, 827, 623, 3061, 236779, 92062, 1083, 3714, 7682, 1083, 623, 12697, 236779, 101606, 827, 623, 3001, 236779, 67401, 1083, 623, 22278, 236779, 3993, 876, 23179, 623, 85972, 236779, 8114, 1083, 2416, 236764, 623, 33686, 236779, 23184, 1083, 623, 56424, 3730, 532, 5122, 2258, 10165, 607, 32568, 236786, 16283, 46646, 1695, 236761, 71387, 18130, 5205, 529, 1157, 14654, 236761, 4140, 1816, 236787, 756, 11640, 4395, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 19871, 10990, 621, 236756, 236778, 236771, 236770, 236800, 12447, 59100, 11493, 236764, 3656, 33438, 657, 496, 7578, 236789, 528, 19185, 8948, 236761, 69378, 53765, 236789, 236751, 14617, 7304, 532, 7972, 7824, 221476, 623, 4874, 236779, 25438, 1083, 623, 140226, 795, 3540, 822, 61988, 2864, 532, 2847, 496, 7724, 2351, 236743, 236778, 1960, 2668, 236761, 1599, 1149, 34767, 653, 2864, 76431, 1680, 1626, 16386, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 822, 34037, 43810, 4493, 16855, 2864, 573, 53765, 236787, 108, 1018, 70329, 5853, 53121, 36176, 236772, 34334, 236772, 236832, 236828, 236819, 236812, 236810, 236825, 138, 107, 1018, 6717, 53121, 13287, 1854, 528, 5609, 138, 107, 1018, 3503, 38456, 13810, 8593, 53121, 138, 107, 236772, 113452, 12194, 3730, 833, 5122, 2258, 10165, 607, 5122, 67824, 138, 107, 236772, 236743, 241882, 243755, 13287, 7972, 1695, 66051, 32568, 532, 116487, 138, 107, 236772, 236743, 244608, 71387, 18130, 23612, 6672, 1157, 14654, 138, 107, 236772, 623, 11640, 4395, 236858, 236751, 19871, 10990, 1271, 12447, 59100, 11493, 236764, 3656, 33438, 657, 496, 7578, 236775, 528, 19185, 8948, 39137, 138, 107, 236772, 43314, 7304, 33862, 1343, 43810, 25075, 8403, 138, 108, 1018, 94394, 53121, 138, 107, 245838, 58887, 795, 4024, 496, 7724, 2351, 236743, 236778, 1960, 2668, 138, 107, 240732, 84702, 236786, 500, 60744, 4771, 2269, 7724, 8341, 138, 107, 478, 397, 388, 406, 238178, 16187, 16386, 1308, 822, 13196, 138, 108, 38786, 611, 1133, 531, 1138, 20583, 2509, 6131, 236800, 236810, 11317, 236768, 531, 127541, 506, 236743, 236778, 236772, 1496, 7724, 34315, 236881, 1174, 1093, 5330, 76431, 740, 3654, 6842, 768, 4354, 573, 822, 2460, 6995, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 58089, 1070, 14069, 699, 1041, 4301, 8687, 236761, 5715, 236789, 236751, 506, 1816, 236787, 756, 1882, 236789, 859, 5264, 78257, 580, 5261, 236743, 236770, 236810, 594, 236764, 8559, 496, 2069, 27893, 506, 7086, 31093, 236764, 1299, 4682, 506, 78257, 127208, 8115, 2290, 580, 506, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236761, 4210, 600, 236764, 564, 236789, 859, 5697, 531, 14850, 1806, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 7085, 3199, 611, 8430, 1239, 14069, 528, 496, 31044, 6518, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20967, 1083, 78493, 1005, 1083, 623, 27393, 236743, 236770, 236810, 594, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 1005, 1083, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 1005, 1083, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 45271, 14069, 699, 822, 4301, 8687, 528, 31044, 6518, 236787, 108, 236770, 236761, 5213, 125489, 699, 78257, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 27393, 236743, 236770, 236810, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236778, 236761, 5213, 27146, 31153, 127208, 41910, 9064, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236800, 236761, 5213, 34299, 531, 14850, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 818, 27893, 7946, 9857, 580, 5261, 236743, 236770, 236810, 594, 532, 44079, 496, 2069, 568, 2669, 5261, 236743, 236778, 236778, 523, 779, 840, 672, 12032, 691, 711, 25010, 45271, 618, 496, 31044, 3433, 2644, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 12879, 573, 58089, 1724, 14069, 236888, 564, 14275, 506, 27893, 7946, 691, 6950, 618, 496, 2069, 236772, 5843, 6250, 5261, 236743, 236770, 236810, 594, 236764, 840, 506, 1345, 3433, 7289, 236789, 236745, 5012, 528, 506, 31044, 2536, 236761, 28344, 611, 1138, 506, 31466, 573, 600, 12032, 2311, 236881, 6542, 236764, 1531, 786, 1281, 768, 611, 1202, 1027, 1032, 4889, 699, 1041, 8687, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 31044, 3433, 1694, 607, 506, 27893, 7946, 31466, 3742, 236787, 108, 236770, 236761, 5213, 125489, 699, 78257, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 27393, 236743, 236770, 236810, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236778, 236761, 5213, 181887, 34960, 8006, 568, 109654, 62902, 138, 107, 139, 236772, 18909, 236787, 623, 141249, 496, 2069, 27893, 506, 7086, 31093, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236800, 236761, 5213, 27146, 31153, 127208, 41910, 9064, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236812, 236761, 5213, 34299, 531, 14850, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 818, 27893, 7946, 31466, 691, 9255, 684, 8009, 236743, 236832, 2668, 531, 506, 5261, 236743, 236770, 236810, 594, 1502, 3433, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 14069, 653, 1202, 30981, 236888, 106, 107, 105, 2364, 107, 76011, 1822, 236888, 669, 27893, 7946, 1345, 3433, 3590, 5113, 6596, 236772, 5059, 236761, 564, 1164, 14995, 564, 992, 6950, 614, 19640, 580, 5365, 236743, 236778, 236771, 594, 528, 506, 3303, 1816, 753, 1451, 611, 1138, 600, 618, 496, 7732, 7234, 236881, 1452, 1651, 611, 236789, 500, 657, 625, 236764, 7463, 2426, 768, 993, 236789, 236751, 1027, 1032, 27394, 14069, 564, 2473, 735, 15315, 528, 506, 5433, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6340, 10448, 31044, 3433, 1694, 607, 822, 19640, 3433, 3742, 532, 27394, 14069, 544, 22011, 236787, 108, 236770, 236761, 5213, 125489, 699, 78257, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 27393, 236743, 236770, 236810, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236778, 236761, 5213, 181887, 34960, 8006, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 141249, 496, 2069, 27893, 506, 7086, 31093, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236800, 236761, 5213, 27146, 31153, 127208, 41910, 9064, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236812, 236761, 5213, 23524, 16664, 6809, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 3307, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236810, 236761, 5213, 34299, 531, 14850, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 1018, 113114, 6809, 7179, 53121, 138, 107, 236772, 669, 623, 30651, 236743, 236770, 236810, 594, 28958, 236775, 563, 6950, 840, 711, 19240, 531, 614, 2970, 236786, 5106, 528, 822, 8687, 236761, 138, 107, 236772, 2301, 1032, 27394, 14069, 964, 1765, 528, 506, 1816, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 506, 28958, 3433, 5012, 653, 1202, 3342, 170935, 236888, 236743, 249280, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 58089, 1070, 14069, 699, 1041, 4301, 8687, 236761, 5715, 236789, 236751, 506, 1816, 236787, 756, 1882, 236789, 859, 5264, 78257, 580, 5261, 236743, 236770, 236810, 594, 236764, 8559, 496, 2069, 27893, 506, 7086, 31093, 236764, 1299, 4682, 506, 78257, 127208, 8115, 2290, 580, 506, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236761, 4210, 600, 236764, 564, 236789, 859, 5697, 531, 14850, 1806, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 7085, 3199, 611, 8430, 1239, 14069, 528, 496, 31044, 6518, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20967, 1083, 78493, 1005, 1083, 623, 27393, 236743, 236770, 236810, 594, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 1005, 1083, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 1005, 1083, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 45271, 14069, 699, 822, 4301, 8687, 528, 31044, 6518, 236787, 108, 236770, 236761, 5213, 125489, 699, 78257, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 27393, 236743, 236770, 236810, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236778, 236761, 5213, 27146, 31153, 127208, 41910, 9064, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236800, 236761, 5213, 34299, 531, 14850, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 818, 27893, 7946, 9857, 580, 5261, 236743, 236770, 236810, 594, 532, 44079, 496, 2069, 568, 2669, 5261, 236743, 236778, 236778, 523, 779, 840, 672, 12032, 691, 711, 25010, 45271, 618, 496, 31044, 3433, 2644, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 12879, 573, 58089, 1724, 14069, 236888, 564, 14275, 506, 27893, 7946, 691, 6950, 618, 496, 2069, 236772, 5843, 6250, 5261, 236743, 236770, 236810, 594, 236764, 840, 506, 1345, 3433, 7289, 236789, 236745, 5012, 528, 506, 31044, 2536, 236761, 28344, 611, 1138, 506, 31466, 573, 600, 12032, 2311, 236881, 6542, 236764, 1531, 786, 1281, 768, 611, 1202, 1027, 1032, 4889, 699, 1041, 8687, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 31044, 3433, 1694, 607, 506, 27893, 7946, 31466, 3742, 236787, 108, 236770, 236761, 5213, 125489, 699, 78257, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 27393, 236743, 236770, 236810, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236778, 236761, 5213, 181887, 34960, 8006, 568, 109654, 62902, 138, 107, 139, 236772, 18909, 236787, 623, 141249, 496, 2069, 27893, 506, 7086, 31093, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236800, 236761, 5213, 27146, 31153, 127208, 41910, 9064, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236812, 236761, 5213, 34299, 531, 14850, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 818, 27893, 7946, 31466, 691, 9255, 684, 8009, 236743, 236832, 2668, 531, 506, 5261, 236743, 236770, 236810, 594, 1502, 3433, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 14069, 653, 1202, 30981, 236888, 106, 107, 105, 2364, 107, 76011, 1822, 236888, 669, 27893, 7946, 1345, 3433, 3590, 5113, 6596, 236772, 5059, 236761, 564, 1164, 14995, 564, 992, 6950, 614, 19640, 580, 5365, 236743, 236778, 236771, 594, 528, 506, 3303, 1816, 753, 1451, 611, 1138, 600, 618, 496, 7732, 7234, 236881, 1452, 1651, 611, 236789, 500, 657, 625, 236764, 7463, 2426, 768, 993, 236789, 236751, 1027, 1032, 27394, 14069, 564, 2473, 735, 15315, 528, 506, 5433, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6340, 10448, 31044, 3433, 1694, 607, 822, 19640, 3433, 3742, 532, 27394, 14069, 544, 22011, 236787, 108, 236770, 236761, 5213, 125489, 699, 78257, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 27393, 236743, 236770, 236810, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236778, 236761, 5213, 181887, 34960, 8006, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 141249, 496, 2069, 27893, 506, 7086, 31093, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236800, 236761, 5213, 27146, 31153, 127208, 41910, 9064, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 1437, 7672, 1680, 506, 5365, 236743, 236770, 236810, 594, 28958, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236812, 236761, 5213, 23524, 16664, 6809, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 3307, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 236810, 236761, 5213, 34299, 531, 14850, 1018, 138, 107, 139, 236772, 18909, 236787, 623, 19891, 2668, 1308, 1041, 19640, 580, 5365, 236743, 236778, 236771, 594, 236775, 138, 107, 139, 236772, 195612, 236787, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236929, 138, 108, 1018, 113114, 6809, 7179, 53121, 138, 107, 236772, 669, 623, 30651, 236743, 236770, 236810, 594, 28958, 236775, 563, 6950, 840, 711, 19240, 531, 614, 2970, 236786, 5106, 528, 822, 8687, 236761, 138, 107, 236772, 2301, 1032, 27394, 14069, 964, 1765, 528, 506, 1816, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 506, 28958, 3433, 5012, 653, 1202, 3342, 170935, 236888, 236743, 249280, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 1783, 236804, 15823, 236764, 532, 564, 1202, 822, 1601, 123789, 3435, 4408, 9952, 528, 29936, 573, 1041, 861, 3670, 3997, 23937, 236761, 28344, 611, 1502, 684, 19460, 573, 15913, 528, 1041, 2433, 600, 735, 12660, 532, 496, 3399, 2460, 2557, 236881, 564, 236858, 236753, 2765, 531, 4253, 28715, 172372, 532, 3355, 4598, 6995, 13721, 993, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 15283, 573, 1041, 9862, 7391, 2311, 1271, 116489, 659, 496, 1921, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 38948, 236779, 1201, 1083, 623, 117786, 19839, 114935, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 32237, 842, 236764, 29936, 827, 623, 22860, 1236, 1083, 11058, 67299, 827, 623, 37939, 2460, 2557, 827, 623, 96490, 3287, 827, 623, 11480, 236772, 11243, 8379, 14255, 623, 56905, 1083, 623, 236800, 6630, 2487, 827, 623, 11607, 1083, 623, 3906, 236940, 40695, 586, 2313, 709, 236761, 854, 23179, 3714, 38948, 236779, 1201, 1083, 623, 170425, 29936, 79535, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 11493, 18977, 236764, 29936, 827, 623, 22860, 1236, 1083, 11058, 67299, 827, 623, 37939, 2460, 2557, 827, 623, 96490, 3287, 827, 623, 1364, 236772, 25421, 34025, 14255, 623, 56905, 1083, 623, 236770, 12153, 16848, 2487, 827, 623, 11607, 1083, 623, 11607, 236940, 40695, 17313, 106156, 236761, 854, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 4408, 9952, 528, 29936, 600, 2874, 822, 6035, 573, 12660, 236764, 3399, 2460, 2557, 236764, 532, 116489, 236787, 108, 236770, 236761, 5213, 117786, 19839, 114935, 1018, 138, 107, 139, 236772, 5213, 9604, 66515, 236743, 236770, 236778, 236800, 32237, 842, 236764, 29936, 138, 107, 139, 236772, 5213, 200017, 66515, 44546, 236764, 3399, 2460, 2557, 236764, 116489, 236764, 1494, 236772, 11243, 8379, 138, 107, 139, 236772, 5213, 51164, 66515, 236743, 236800, 6630, 2487, 138, 107, 139, 236772, 5213, 11431, 66515, 870, 3906, 236940, 40695, 586, 2313, 709, 236761, 854, 5457, 36440, 236787, 3906, 236940, 40695, 586, 2313, 709, 236761, 854, 236768, 138, 108, 236778, 236761, 5213, 170425, 29936, 79535, 1018, 138, 107, 139, 236772, 5213, 9604, 66515, 236743, 236812, 236810, 236825, 11493, 18977, 236764, 29936, 138, 107, 139, 236772, 5213, 200017, 66515, 44546, 236764, 3399, 2460, 2557, 236764, 116489, 236764, 1028, 236772, 25421, 34025, 138, 107, 139, 236772, 5213, 51164, 66515, 236743, 236770, 12153, 16848, 2487, 138, 107, 139, 236772, 5213, 11431, 66515, 870, 11607, 236940, 40695, 17313, 106156, 236761, 854, 5457, 36440, 236787, 11607, 236940, 40695, 17313, 106156, 236761, 854, 236768, 138, 108, 22186, 3835, 4483, 7436, 573, 22293, 28715, 172372, 532, 3355, 4598, 6995, 1651, 17096, 36453, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2847, 4767, 4889, 1003, 3477, 2557, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 3835, 236888, 3792, 786, 2679, 237028, 7843, 3107, 659, 1239, 15913, 531, 66453, 14996, 653, 1635, 16266, 236881, 564, 1461, 531, 1386, 2889, 7391, 740, 2802, 506, 2557, 5583, 236764, 4285, 40102, 1015, 2473, 18039, 580, 1237, 28048, 236761, 6542, 236764, 1451, 611, 2426, 768, 3477, 3788, 815, 14942, 26975, 653, 3399, 16545, 2351, 9378, 5149, 236881, 564, 236858, 236753, 2765, 531, 8324, 607, 2263, 9780, 573, 28715, 4749, 236761, 64747, 236764, 776, 611, 735, 1027, 4889, 580, 506, 3385, 21280, 573, 1239, 9952, 236881, 3551, 7715, 236858, 236751, 11119, 2338, 564, 236858, 236757, 32826, 672, 861, 23937, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 6436, 600, 740, 5467, 33205, 4889, 1003, 28048, 33417, 236764, 14942, 26975, 236786, 37939, 16545, 236764, 653, 21212, 573, 4408, 9952, 236761, 3551, 1873, 15858, 659, 5809, 531, 506, 6436, 3847, 236764, 837, 3213, 580, 1698, 1262, 236764, 27078, 3671, 236764, 18090, 15621, 236764, 532, 6079, 4408, 3927, 6137, 236761, 236743, 108, 2021, 2827, 4448, 236764, 611, 1451, 236787, 107, 236770, 236761, 6890, 15468, 3019, 568, 236744, 236761, 236759, 1126, 6475, 39247, 236768, 531, 2426, 28048, 2802, 532, 14942, 3399, 73696, 573, 506, 9456, 19246, 236761, 107, 236778, 236761, 13948, 506, 15913, 5467, 4323, 506, 3847, 24157, 531, 68256, 1003, 21212, 532, 33000, 607, 2263, 9780, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 614, 4553, 7930, 573, 1239, 45174, 653, 59638, 506, 4408, 3927, 3342, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 614, 4553, 7930, 573, 1800, 15913, 236888, 564, 236858, 236753, 1133, 531, 68256, 1003, 21212, 236764, 28048, 2802, 236764, 532, 33000, 607, 14942, 26975, 653, 3399, 16545, 236761, 9920, 611, 2619, 506, 12262, 236764, 1451, 611, 18840, 1061, 15737, 1699, 506, 27078, 5904, 531, 5330, 625, 236858, 236751, 6962, 840, 5707, 236881, 564, 1461, 531, 1386, 496, 1822, 1171, 18358, 2338, 564, 236858, 236757, 861, 531, 3670, 3997, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 623, 172107, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 126775, 236779, 7284, 3843, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236771, 236810, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236771, 236800, 1263, 623, 66387, 236779, 28263, 1083, 3714, 45437, 1083, 1847, 236764, 623, 75951, 594, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236832, 236764, 623, 16544, 665, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 4553, 7930, 532, 27078, 3671, 2536, 236787, 108, 7243, 108, 1018, 249979, 19955, 33404, 1018, 138, 107, 1018, 21288, 53121, 87101, 11968, 7816, 13510, 20303, 532, 11493, 118836, 138, 108, 31163, 870, 39451, 12062, 236786, 18373, 7343, 1604, 138, 108, 4754, 1463, 563, 1783, 236804, 15823, 236764, 532, 564, 236858, 236757, 32826, 496, 3670, 3997, 23937, 2721, 528, 29936, 236761, 564, 236858, 236757, 17154, 855, 531, 3449, 919, 1003, 870, 39451, 7343, 236842, 532, 3363, 625, 100146, 607, 1023, 3548, 573, 22293, 28715, 4749, 532, 3399, 13859, 236761, 138, 108, 30092, 611, 39682, 4024, 236787, 138, 107, 236770, 236761, 79913, 21280, 573, 2487, 6630, 236881, 138, 107, 236778, 236761, 1255, 123428, 531, 66453, 14996, 653, 1635, 16266, 568, 1708, 9550, 4430, 36453, 20625, 138, 107, 236800, 236761, 7129, 6330, 33000, 607, 14942, 26975, 653, 3399, 16545, 692, 1451, 30990, 573, 28715, 172372, 236881, 138, 108, 236777, 236858, 236753, 14756, 1027, 4767, 4889, 1003, 506, 2557, 653, 12960, 600, 2473, 1601, 775, 6869, 3188, 3399, 23948, 236761, 10770, 611, 573, 822, 10686, 237028, 977, 236858, 500, 9775, 1003, 506, 11160, 529, 69757, 607, 822, 2434, 236888, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 13948, 8230, 236842, 138, 108, 7243, 108, 1018, 249772, 162249, 13768, 17647, 1018, 138, 107, 236772, 5213, 181266, 53121, 44771, 568, 236819, 236778, 236908, 10805, 236768, 138, 107, 236772, 5213, 99257, 594, 27242, 53121, 236743, 236828, 236832, 236908, 568, 18865, 532, 139445, 236768, 138, 107, 236772, 5213, 56753, 1929, 53121, 13810, 8593, 568, 9347, 236764, 61666, 3904, 236768, 138, 107, 236772, 5213, 1829, 23765, 53121, 236743, 236819, 236810, 236908, 568, 12293, 532, 3735, 531, 3050, 236768, 138, 108, 2094, 7930, 41131, 66672, 607, 41945, 236764, 3043, 625, 7436, 573, 1171, 52547, 236761, 21284, 611, 1133, 531, 6253, 1027, 211983, 568, 236744, 236761, 236759, 1126, 1138, 159325, 653, 47766, 236768, 1680, 15656, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 1783, 236804, 15823, 236764, 532, 564, 1202, 822, 1601, 123789, 3435, 4408, 9952, 528, 29936, 573, 1041, 861, 3670, 3997, 23937, 236761, 28344, 611, 1502, 684, 19460, 573, 15913, 528, 1041, 2433, 600, 735, 12660, 532, 496, 3399, 2460, 2557, 236881, 564, 236858, 236753, 2765, 531, 4253, 28715, 172372, 532, 3355, 4598, 6995, 13721, 993, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 15283, 573, 1041, 9862, 7391, 2311, 1271, 116489, 659, 496, 1921, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 38948, 236779, 1201, 1083, 623, 117786, 19839, 114935, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 32237, 842, 236764, 29936, 827, 623, 22860, 1236, 1083, 11058, 67299, 827, 623, 37939, 2460, 2557, 827, 623, 96490, 3287, 827, 623, 11480, 236772, 11243, 8379, 14255, 623, 56905, 1083, 623, 236800, 6630, 2487, 827, 623, 11607, 1083, 623, 3906, 236940, 40695, 586, 2313, 709, 236761, 854, 23179, 3714, 38948, 236779, 1201, 1083, 623, 170425, 29936, 79535, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 11493, 18977, 236764, 29936, 827, 623, 22860, 1236, 1083, 11058, 67299, 827, 623, 37939, 2460, 2557, 827, 623, 96490, 3287, 827, 623, 1364, 236772, 25421, 34025, 14255, 623, 56905, 1083, 623, 236770, 12153, 16848, 2487, 827, 623, 11607, 1083, 623, 11607, 236940, 40695, 17313, 106156, 236761, 854, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 4408, 9952, 528, 29936, 600, 2874, 822, 6035, 573, 12660, 236764, 3399, 2460, 2557, 236764, 532, 116489, 236787, 108, 236770, 236761, 5213, 117786, 19839, 114935, 1018, 138, 107, 139, 236772, 5213, 9604, 66515, 236743, 236770, 236778, 236800, 32237, 842, 236764, 29936, 138, 107, 139, 236772, 5213, 200017, 66515, 44546, 236764, 3399, 2460, 2557, 236764, 116489, 236764, 1494, 236772, 11243, 8379, 138, 107, 139, 236772, 5213, 51164, 66515, 236743, 236800, 6630, 2487, 138, 107, 139, 236772, 5213, 11431, 66515, 870, 3906, 236940, 40695, 586, 2313, 709, 236761, 854, 5457, 36440, 236787, 3906, 236940, 40695, 586, 2313, 709, 236761, 854, 236768, 138, 108, 236778, 236761, 5213, 170425, 29936, 79535, 1018, 138, 107, 139, 236772, 5213, 9604, 66515, 236743, 236812, 236810, 236825, 11493, 18977, 236764, 29936, 138, 107, 139, 236772, 5213, 200017, 66515, 44546, 236764, 3399, 2460, 2557, 236764, 116489, 236764, 1028, 236772, 25421, 34025, 138, 107, 139, 236772, 5213, 51164, 66515, 236743, 236770, 12153, 16848, 2487, 138, 107, 139, 236772, 5213, 11431, 66515, 870, 11607, 236940, 40695, 17313, 106156, 236761, 854, 5457, 36440, 236787, 11607, 236940, 40695, 17313, 106156, 236761, 854, 236768, 138, 108, 22186, 3835, 4483, 7436, 573, 22293, 28715, 172372, 532, 3355, 4598, 6995, 1651, 17096, 36453, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2847, 4767, 4889, 1003, 3477, 2557, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 3835, 236888, 3792, 786, 2679, 237028, 7843, 3107, 659, 1239, 15913, 531, 66453, 14996, 653, 1635, 16266, 236881, 564, 1461, 531, 1386, 2889, 7391, 740, 2802, 506, 2557, 5583, 236764, 4285, 40102, 1015, 2473, 18039, 580, 1237, 28048, 236761, 6542, 236764, 1451, 611, 2426, 768, 3477, 3788, 815, 14942, 26975, 653, 3399, 16545, 2351, 9378, 5149, 236881, 564, 236858, 236753, 2765, 531, 8324, 607, 2263, 9780, 573, 28715, 4749, 236761, 64747, 236764, 776, 611, 735, 1027, 4889, 580, 506, 3385, 21280, 573, 1239, 9952, 236881, 3551, 7715, 236858, 236751, 11119, 2338, 564, 236858, 236757, 32826, 672, 861, 23937, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 6436, 600, 740, 5467, 33205, 4889, 1003, 28048, 33417, 236764, 14942, 26975, 236786, 37939, 16545, 236764, 653, 21212, 573, 4408, 9952, 236761, 3551, 1873, 15858, 659, 5809, 531, 506, 6436, 3847, 236764, 837, 3213, 580, 1698, 1262, 236764, 27078, 3671, 236764, 18090, 15621, 236764, 532, 6079, 4408, 3927, 6137, 236761, 236743, 108, 2021, 2827, 4448, 236764, 611, 1451, 236787, 107, 236770, 236761, 6890, 15468, 3019, 568, 236744, 236761, 236759, 1126, 6475, 39247, 236768, 531, 2426, 28048, 2802, 532, 14942, 3399, 73696, 573, 506, 9456, 19246, 236761, 107, 236778, 236761, 13948, 506, 15913, 5467, 4323, 506, 3847, 24157, 531, 68256, 1003, 21212, 532, 33000, 607, 2263, 9780, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 614, 4553, 7930, 573, 1239, 45174, 653, 59638, 506, 4408, 3927, 3342, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 614, 4553, 7930, 573, 1800, 15913, 236888, 564, 236858, 236753, 1133, 531, 68256, 1003, 21212, 236764, 28048, 2802, 236764, 532, 33000, 607, 14942, 26975, 653, 3399, 16545, 236761, 9920, 611, 2619, 506, 12262, 236764, 1451, 611, 18840, 1061, 15737, 1699, 506, 27078, 5904, 531, 5330, 625, 236858, 236751, 6962, 840, 5707, 236881, 564, 1461, 531, 1386, 496, 1822, 1171, 18358, 2338, 564, 236858, 236757, 861, 531, 3670, 3997, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 623, 172107, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 126775, 236779, 7284, 3843, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236771, 236810, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236771, 236800, 1263, 623, 66387, 236779, 28263, 1083, 3714, 45437, 1083, 1847, 236764, 623, 75951, 594, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236832, 236764, 623, 16544, 665, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 4553, 7930, 532, 27078, 3671, 2536, 236787, 108, 7243, 108, 1018, 249979, 19955, 33404, 1018, 138, 107, 1018, 21288, 53121, 87101, 11968, 7816, 13510, 20303, 532, 11493, 118836, 138, 108, 31163, 870, 39451, 12062, 236786, 18373, 7343, 1604, 138, 108, 4754, 1463, 563, 1783, 236804, 15823, 236764, 532, 564, 236858, 236757, 32826, 496, 3670, 3997, 23937, 2721, 528, 29936, 236761, 564, 236858, 236757, 17154, 855, 531, 3449, 919, 1003, 870, 39451, 7343, 236842, 532, 3363, 625, 100146, 607, 1023, 3548, 573, 22293, 28715, 4749, 532, 3399, 13859, 236761, 138, 108, 30092, 611, 39682, 4024, 236787, 138, 107, 236770, 236761, 79913, 21280, 573, 2487, 6630, 236881, 138, 107, 236778, 236761, 1255, 123428, 531, 66453, 14996, 653, 1635, 16266, 568, 1708, 9550, 4430, 36453, 20625, 138, 107, 236800, 236761, 7129, 6330, 33000, 607, 14942, 26975, 653, 3399, 16545, 692, 1451, 30990, 573, 28715, 172372, 236881, 138, 108, 236777, 236858, 236753, 14756, 1027, 4767, 4889, 1003, 506, 2557, 653, 12960, 600, 2473, 1601, 775, 6869, 3188, 3399, 23948, 236761, 10770, 611, 573, 822, 10686, 237028, 977, 236858, 500, 9775, 1003, 506, 11160, 529, 69757, 607, 822, 2434, 236888, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 13948, 8230, 236842, 138, 108, 7243, 108, 1018, 249772, 162249, 13768, 17647, 1018, 138, 107, 236772, 5213, 181266, 53121, 44771, 568, 236819, 236778, 236908, 10805, 236768, 138, 107, 236772, 5213, 99257, 594, 27242, 53121, 236743, 236828, 236832, 236908, 568, 18865, 532, 139445, 236768, 138, 107, 236772, 5213, 56753, 1929, 53121, 13810, 8593, 568, 9347, 236764, 61666, 3904, 236768, 138, 107, 236772, 5213, 1829, 23765, 53121, 236743, 236819, 236810, 236908, 568, 12293, 532, 3735, 531, 3050, 236768, 138, 108, 2094, 7930, 41131, 66672, 607, 41945, 236764, 3043, 625, 7436, 573, 1171, 52547, 236761, 21284, 611, 1133, 531, 6253, 1027, 211983, 568, 236744, 236761, 236759, 1126, 1138, 159325, 653, 47766, 236768, 1680, 15656, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 614, 24372, 3393, 573, 496, 51280, 5941, 2760, 623, 63771, 48823, 3640, 236775, 532, 1461, 531, 2426, 768, 625, 236789, 236751, 30781, 1680, 16058, 236761, 3199, 611, 1385, 872, 506, 51589, 8283, 1699, 506, 3393, 2165, 28180, 236770, 236778, 236800, 56660, 236929, 236881, 564, 1202, 531, 9128, 506, 4374, 1527, 532, 5941, 6492, 531, 1460, 768, 625, 100146, 607, 1041, 5707, 7675, 618, 496, 96108, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38120, 236779, 1201, 1083, 623, 63771, 48823, 3640, 827, 623, 14531, 236779, 2861, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 7777, 1083, 623, 56753, 3707, 573, 39295, 1542, 1954, 236764, 2258, 1954, 236764, 532, 30256, 8170, 236761, 80007, 3956, 5405, 236764, 3195, 3905, 236764, 532, 15374, 4993, 10498, 623, 107996, 236779, 5909, 1083, 623, 64266, 827, 623, 16518, 1083, 11058, 25205, 71736, 827, 623, 207625, 236779, 68979, 827, 623, 24247, 142898, 14255, 623, 89123, 236779, 3970, 1083, 623, 28180, 236770, 236778, 236800, 56660, 827, 623, 126452, 236779, 495, 1083, 623, 236778, 236800, 3885, 25938, 106, 107, 105, 4368, 107, 818, 51280, 5941, 5213, 63771, 48823, 3640, 1018, 7412, 30781, 532, 100146, 607, 822, 5707, 7675, 618, 496, 96108, 236761, 5715, 236789, 236751, 506, 27662, 8283, 236787, 138, 108, 236772, 5213, 22057, 4308, 66515, 236743, 236770, 236764, 236778, 236812, 236810, 3295, 568, 5034, 532, 6697, 3399, 236768, 138, 107, 236772, 5213, 9770, 66515, 23471, 3707, 573, 39295, 1542, 1954, 236764, 2258, 1954, 236764, 532, 30256, 8170, 607, 3956, 5405, 236764, 496, 3195, 3905, 236764, 532, 15374, 4993, 236761, 138, 107, 236772, 5213, 87228, 16575, 66515, 50907, 568, 146307, 236772, 87622, 5941, 236768, 138, 107, 236772, 5213, 165142, 8739, 1787, 140725, 66515, 236743, 236778, 236800, 3885, 9866, 138, 108, 818, 5941, 5132, 4065, 1133, 496, 8349, 4322, 532, 17324, 6436, 236764, 22169, 625, 236789, 236751, 1388, 236772, 151805, 236761, 1599, 740, 6154, 79269, 768, 506, 36989, 19009, 822, 3548, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 614, 24372, 3393, 573, 496, 51280, 5941, 2760, 623, 63771, 48823, 3640, 236775, 532, 1461, 531, 2426, 768, 625, 236789, 236751, 30781, 1680, 16058, 236761, 3199, 611, 1385, 872, 506, 51589, 8283, 1699, 506, 3393, 2165, 28180, 236770, 236778, 236800, 56660, 236929, 236881, 564, 1202, 531, 9128, 506, 4374, 1527, 532, 5941, 6492, 531, 1460, 768, 625, 100146, 607, 1041, 5707, 7675, 618, 496, 96108, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38120, 236779, 1201, 1083, 623, 63771, 48823, 3640, 827, 623, 14531, 236779, 2861, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 7777, 1083, 623, 56753, 3707, 573, 39295, 1542, 1954, 236764, 2258, 1954, 236764, 532, 30256, 8170, 236761, 80007, 3956, 5405, 236764, 3195, 3905, 236764, 532, 15374, 4993, 10498, 623, 107996, 236779, 5909, 1083, 623, 64266, 827, 623, 16518, 1083, 11058, 25205, 71736, 827, 623, 207625, 236779, 68979, 827, 623, 24247, 142898, 14255, 623, 89123, 236779, 3970, 1083, 623, 28180, 236770, 236778, 236800, 56660, 827, 623, 126452, 236779, 495, 1083, 623, 236778, 236800, 3885, 25938, 106, 107, 105, 4368, 107, 818, 51280, 5941, 5213, 63771, 48823, 3640, 1018, 7412, 30781, 532, 100146, 607, 822, 5707, 7675, 618, 496, 96108, 236761, 5715, 236789, 236751, 506, 27662, 8283, 236787, 138, 108, 236772, 5213, 22057, 4308, 66515, 236743, 236770, 236764, 236778, 236812, 236810, 3295, 568, 5034, 532, 6697, 3399, 236768, 138, 107, 236772, 5213, 9770, 66515, 23471, 3707, 573, 39295, 1542, 1954, 236764, 2258, 1954, 236764, 532, 30256, 8170, 607, 3956, 5405, 236764, 496, 3195, 3905, 236764, 532, 15374, 4993, 236761, 138, 107, 236772, 5213, 87228, 16575, 66515, 50907, 568, 146307, 236772, 87622, 5941, 236768, 138, 107, 236772, 5213, 165142, 8739, 1787, 140725, 66515, 236743, 236778, 236800, 3885, 9866, 138, 108, 818, 5941, 5132, 4065, 1133, 496, 8349, 4322, 532, 17324, 6436, 236764, 22169, 625, 236789, 236751, 1388, 236772, 151805, 236761, 1599, 740, 6154, 79269, 768, 506, 36989, 19009, 822, 3548, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 7257, 1041, 16530, 35237, 12175, 15028, 532, 735, 14900, 699, 236743, 236810, 17783, 236787, 236743, 236828, 236764, 236743, 236819, 236764, 236743, 236832, 236764, 236743, 236828, 236764, 236743, 236819, 236761, 3199, 611, 9279, 506, 4077, 21012, 531, 2426, 25725, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23771, 236779, 95253, 1083, 236743, 236771, 236761, 236832, 236812, 236828, 236800, 236800, 236770, 236812, 236832, 236832, 236812, 236783, 106, 107, 105, 4368, 107, 818, 4077, 21012, 529, 822, 16530, 35237, 12175, 14900, 568, 236828, 236764, 236743, 236819, 236764, 236743, 236832, 236764, 236743, 236828, 236764, 236743, 236819, 236768, 563, 5213, 236771, 236761, 236832, 236812, 236828, 84750, 1174, 11387, 9150, 9958, 2536, 3418, 822, 17783, 236764, 618, 506, 14900, 13627, 12030, 2101, 506, 2689, 529, 5213, 236828, 236761, 236778, 84750, 236743, 108, 38786, 611, 1133, 1601, 59536, 672, 3342, 653, 68657, 822, 15028, 3671, 236881, 236743, 247167, 106, 107, 105, 2364, 107, 12879, 573, 506, 3671, 236761, 564, 236789, 236757, 6995, 496, 14049, 18669, 573, 1041, 2260, 5975, 532, 1202, 531, 18855, 506, 15020, 24157, 236761, 28344, 611, 2426, 768, 623, 12698, 236779, 1897, 3734, 14865, 236940, 113325, 27106, 236761, 854, 236775, 563, 496, 4341, 4553, 3421, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 4553, 3421, 5213, 236775, 12698, 236779, 1897, 3734, 14865, 236940, 113325, 27106, 236761, 854, 236775, 1018, 563, 4341, 236888, 113452, 138, 108, 10081, 611, 236858, 500, 35447, 496, 18669, 236764, 1093, 611, 1133, 531, 2426, 4767, 4553, 19246, 573, 11383, 236764, 653, 563, 993, 4658, 1663, 564, 740, 6361, 607, 573, 822, 2460, 6995, 236881, 204906, 106, 107, 105, 2364, 107, 10081, 564, 236789, 236757, 201585, 506, 15083, 1694, 236764, 1451, 611, 992, 16807, 623, 3070, 38057, 236779, 29552, 236940, 19645, 236761, 1364, 236775, 532, 623, 1897, 3734, 141805, 236778, 236771, 236778, 236812, 236940, 113519, 236761, 2187, 51653, 564, 1461, 531, 5330, 784, 32571, 24157, 659, 4341, 1680, 15656, 52416, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 7720, 1083, 623, 3070, 38057, 236779, 29552, 236940, 19645, 236761, 1364, 827, 623, 19645, 236779, 4256, 1083, 3714, 14751, 1083, 1847, 236764, 623, 21973, 236751, 236779, 2618, 1083, 1847, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 6774, 1083, 623, 1897, 3734, 141805, 236778, 236771, 236778, 236812, 236940, 113519, 236761, 2187, 827, 623, 107974, 236779, 4256, 1083, 1847, 236764, 623, 19645, 236779, 4256, 1083, 1847, 236764, 623, 2763, 49090, 236779, 4256, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 22186, 4553, 19246, 659, 4341, 532, 27662, 236787, 138, 108, 236770, 236761, 5213, 236775, 3070, 38057, 236779, 29552, 236940, 19645, 236761, 1364, 236775, 1018, 138, 107, 139, 236772, 113452, 30638, 6518, 138, 107, 139, 236772, 236743, 249979, 49822, 7519, 532, 37574, 10658, 138, 108, 236778, 236761, 5213, 236775, 1897, 3734, 141805, 236778, 236771, 236778, 236812, 236940, 113519, 236761, 2187, 236775, 1018, 138, 107, 139, 236772, 113452, 30638, 6518, 138, 107, 139, 236772, 236743, 246978, 49822, 27662, 138, 107, 139, 236772, 236743, 247117, 3790, 496, 51415, 4553, 3421, 138, 108, 3048, 236858, 500, 1535, 531, 5039, 52416, 79269, 236888, 21284, 611, 1133, 531, 2426, 919, 24157, 653, 1202, 1601, 607, 4658, 1663, 573, 822, 18669, 6995, 236881, 236743, 249979, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 7257, 1041, 16530, 35237, 12175, 15028, 532, 735, 14900, 699, 236743, 236810, 17783, 236787, 236743, 236828, 236764, 236743, 236819, 236764, 236743, 236832, 236764, 236743, 236828, 236764, 236743, 236819, 236761, 3199, 611, 9279, 506, 4077, 21012, 531, 2426, 25725, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23771, 236779, 95253, 1083, 236743, 236771, 236761, 236832, 236812, 236828, 236800, 236800, 236770, 236812, 236832, 236832, 236812, 236783, 106, 107, 105, 4368, 107, 818, 4077, 21012, 529, 822, 16530, 35237, 12175, 14900, 568, 236828, 236764, 236743, 236819, 236764, 236743, 236832, 236764, 236743, 236828, 236764, 236743, 236819, 236768, 563, 5213, 236771, 236761, 236832, 236812, 236828, 84750, 1174, 11387, 9150, 9958, 2536, 3418, 822, 17783, 236764, 618, 506, 14900, 13627, 12030, 2101, 506, 2689, 529, 5213, 236828, 236761, 236778, 84750, 236743, 108, 38786, 611, 1133, 1601, 59536, 672, 3342, 653, 68657, 822, 15028, 3671, 236881, 236743, 247167, 106, 107, 105, 2364, 107, 12879, 573, 506, 3671, 236761, 564, 236789, 236757, 6995, 496, 14049, 18669, 573, 1041, 2260, 5975, 532, 1202, 531, 18855, 506, 15020, 24157, 236761, 28344, 611, 2426, 768, 623, 12698, 236779, 1897, 3734, 14865, 236940, 113325, 27106, 236761, 854, 236775, 563, 496, 4341, 4553, 3421, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 4553, 3421, 5213, 236775, 12698, 236779, 1897, 3734, 14865, 236940, 113325, 27106, 236761, 854, 236775, 1018, 563, 4341, 236888, 113452, 138, 108, 10081, 611, 236858, 500, 35447, 496, 18669, 236764, 1093, 611, 1133, 531, 2426, 4767, 4553, 19246, 573, 11383, 236764, 653, 563, 993, 4658, 1663, 564, 740, 6361, 607, 573, 822, 2460, 6995, 236881, 204906, 106, 107, 105, 2364, 107, 10081, 564, 236789, 236757, 201585, 506, 15083, 1694, 236764, 1451, 611, 992, 16807, 623, 3070, 38057, 236779, 29552, 236940, 19645, 236761, 1364, 236775, 532, 623, 1897, 3734, 141805, 236778, 236771, 236778, 236812, 236940, 113519, 236761, 2187, 51653, 564, 1461, 531, 5330, 784, 32571, 24157, 659, 4341, 1680, 15656, 52416, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 7720, 1083, 623, 3070, 38057, 236779, 29552, 236940, 19645, 236761, 1364, 827, 623, 19645, 236779, 4256, 1083, 3714, 14751, 1083, 1847, 236764, 623, 21973, 236751, 236779, 2618, 1083, 1847, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 6774, 1083, 623, 1897, 3734, 141805, 236778, 236771, 236778, 236812, 236940, 113519, 236761, 2187, 827, 623, 107974, 236779, 4256, 1083, 1847, 236764, 623, 19645, 236779, 4256, 1083, 1847, 236764, 623, 2763, 49090, 236779, 4256, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 22186, 4553, 19246, 659, 4341, 532, 27662, 236787, 138, 108, 236770, 236761, 5213, 236775, 3070, 38057, 236779, 29552, 236940, 19645, 236761, 1364, 236775, 1018, 138, 107, 139, 236772, 113452, 30638, 6518, 138, 107, 139, 236772, 236743, 249979, 49822, 7519, 532, 37574, 10658, 138, 108, 236778, 236761, 5213, 236775, 1897, 3734, 141805, 236778, 236771, 236778, 236812, 236940, 113519, 236761, 2187, 236775, 1018, 138, 107, 139, 236772, 113452, 30638, 6518, 138, 107, 139, 236772, 236743, 246978, 49822, 27662, 138, 107, 139, 236772, 236743, 247117, 3790, 496, 51415, 4553, 3421, 138, 108, 3048, 236858, 500, 1535, 531, 5039, 52416, 79269, 236888, 21284, 611, 1133, 531, 2426, 919, 24157, 653, 1202, 1601, 607, 4658, 1663, 573, 822, 18669, 6995, 236881, 236743, 249979, 239794, 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, 57467, 236764, 532, 564, 236789, 236757, 4875, 531, 2731, 496, 2268, 877, 236772, 5567, 22658, 573, 506, 45799, 2290, 672, 8174, 236761, 564, 1202, 531, 1281, 768, 625, 236789, 236751, 1771, 531, 577, 496, 3107, 886, 1171, 236764, 834, 564, 740, 10741, 3363, 531, 817, 531, 496, 87361, 653, 1164, 735, 625, 657, 1041, 1977, 236761, 3199, 611, 2426, 506, 4398, 5416, 573, 506, 45799, 672, 3409, 236881, 1637, 625, 236789, 236751, 1208, 236743, 236770, 236771, 3298, 236764, 564, 236789, 236753, 1133, 611, 531, 1586, 786, 496, 87361, 528, 9673, 2515, 931, 236764, 13187, 600, 815, 496, 11752, 3352, 236761, 1637, 625, 236789, 236751, 236743, 236770, 236771, 653, 919, 236764, 564, 236789, 859, 1164, 6568, 531, 1041, 37543, 236761, 11017, 496, 2606, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28128, 236779, 14293, 1083, 236743, 236828, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 37591, 236772, 236770, 827, 623, 1201, 1083, 623, 27577, 2515, 931, 48418, 2372, 827, 623, 13319, 1083, 623, 27577, 2515, 931, 827, 623, 3255, 1083, 623, 6597, 827, 623, 2084, 1083, 623, 37591, 9430, 827, 623, 19112, 1083, 11058, 236745, 2278, 827, 623, 70358, 14255, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 9673, 2515, 931, 236764, 13187, 236743, 236770, 236819, 236771, 236828, 236800, 827, 623, 5275, 1083, 623, 236825, 236770, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 31935, 1083, 623, 2574, 1411, 2118, 2515, 931, 1968, 12738, 236761, 854, 25938, 107, 14937, 547, 1083, 623, 37591, 236772, 236778, 827, 623, 1201, 1083, 623, 147307, 48418, 6503, 827, 623, 13319, 1083, 623, 104561, 827, 623, 3255, 1083, 623, 6597, 827, 623, 2084, 1083, 623, 37591, 9430, 827, 623, 19112, 1083, 11058, 236745, 2278, 14255, 623, 7720, 1083, 623, 236812, 236810, 236825, 84134, 20604, 236764, 19662, 236764, 13187, 236743, 236770, 236819, 236770, 236771, 236825, 827, 623, 5275, 1083, 623, 236778, 236770, 236810, 236772, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 31935, 1083, 623, 2574, 1411, 236758, 596, 5879, 522, 236761, 854, 25938, 106, 107, 105, 4368, 107, 818, 45799, 236789, 4398, 5416, 672, 3409, 563, 5213, 236828, 236761, 236810, 3298, 125546, 837, 563, 1208, 236743, 236770, 236771, 236761, 2981, 2820, 625, 236858, 236751, 4547, 496, 3107, 2290, 236764, 834, 611, 1374, 2228, 531, 496, 87361, 236888, 108, 8291, 236858, 236751, 496, 4011, 5086, 528, 5213, 27577, 2515, 931, 236764, 13187, 1018, 607, 496, 11752, 3352, 532, 26931, 2487, 236787, 108, 1018, 27577, 2515, 931, 48418, 2372, 1018, 138, 107, 244343, 808, 236770, 236778, 236800, 6400, 842, 236764, 9673, 2515, 931, 236764, 13187, 236743, 236770, 236819, 236771, 236828, 236800, 236829, 138, 107, 246080, 808, 236825, 236770, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236829, 138, 107, 246978, 808, 2574, 1411, 2118, 2515, 931, 1968, 12738, 236761, 854, 236829, 138, 108, 7634, 2729, 26931, 532, 496, 1822, 11752, 3352, 237028, 50936, 573, 822, 877, 236772, 5567, 22658, 236888, 28819, 506, 2290, 236764, 57467, 236888, 236743, 245662, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 57467, 236764, 532, 564, 236789, 236757, 4875, 531, 2731, 496, 2268, 877, 236772, 5567, 22658, 573, 506, 45799, 2290, 672, 8174, 236761, 564, 1202, 531, 1281, 768, 625, 236789, 236751, 1771, 531, 577, 496, 3107, 886, 1171, 236764, 834, 564, 740, 10741, 3363, 531, 817, 531, 496, 87361, 653, 1164, 735, 625, 657, 1041, 1977, 236761, 3199, 611, 2426, 506, 4398, 5416, 573, 506, 45799, 672, 3409, 236881, 1637, 625, 236789, 236751, 1208, 236743, 236770, 236771, 3298, 236764, 564, 236789, 236753, 1133, 611, 531, 1586, 786, 496, 87361, 528, 9673, 2515, 931, 236764, 13187, 600, 815, 496, 11752, 3352, 236761, 1637, 625, 236789, 236751, 236743, 236770, 236771, 653, 919, 236764, 564, 236789, 859, 1164, 6568, 531, 1041, 37543, 236761, 11017, 496, 2606, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28128, 236779, 14293, 1083, 236743, 236828, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 37591, 236772, 236770, 827, 623, 1201, 1083, 623, 27577, 2515, 931, 48418, 2372, 827, 623, 13319, 1083, 623, 27577, 2515, 931, 827, 623, 3255, 1083, 623, 6597, 827, 623, 2084, 1083, 623, 37591, 9430, 827, 623, 19112, 1083, 11058, 236745, 2278, 827, 623, 70358, 14255, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 9673, 2515, 931, 236764, 13187, 236743, 236770, 236819, 236771, 236828, 236800, 827, 623, 5275, 1083, 623, 236825, 236770, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 31935, 1083, 623, 2574, 1411, 2118, 2515, 931, 1968, 12738, 236761, 854, 25938, 107, 14937, 547, 1083, 623, 37591, 236772, 236778, 827, 623, 1201, 1083, 623, 147307, 48418, 6503, 827, 623, 13319, 1083, 623, 104561, 827, 623, 3255, 1083, 623, 6597, 827, 623, 2084, 1083, 623, 37591, 9430, 827, 623, 19112, 1083, 11058, 236745, 2278, 14255, 623, 7720, 1083, 623, 236812, 236810, 236825, 84134, 20604, 236764, 19662, 236764, 13187, 236743, 236770, 236819, 236770, 236771, 236825, 827, 623, 5275, 1083, 623, 236778, 236770, 236810, 236772, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 31935, 1083, 623, 2574, 1411, 236758, 596, 5879, 522, 236761, 854, 25938, 106, 107, 105, 4368, 107, 818, 45799, 236789, 4398, 5416, 672, 3409, 563, 5213, 236828, 236761, 236810, 3298, 125546, 837, 563, 1208, 236743, 236770, 236771, 236761, 2981, 2820, 625, 236858, 236751, 4547, 496, 3107, 2290, 236764, 834, 611, 1374, 2228, 531, 496, 87361, 236888, 108, 8291, 236858, 236751, 496, 4011, 5086, 528, 5213, 27577, 2515, 931, 236764, 13187, 1018, 607, 496, 11752, 3352, 532, 26931, 2487, 236787, 108, 1018, 27577, 2515, 931, 48418, 2372, 1018, 138, 107, 244343, 808, 236770, 236778, 236800, 6400, 842, 236764, 9673, 2515, 931, 236764, 13187, 236743, 236770, 236819, 236771, 236828, 236800, 236829, 138, 107, 246080, 808, 236825, 236770, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 236829, 138, 107, 246978, 808, 2574, 1411, 2118, 2515, 931, 1968, 12738, 236761, 854, 236829, 138, 108, 7634, 2729, 26931, 532, 496, 1822, 11752, 3352, 237028, 50936, 573, 822, 877, 236772, 5567, 22658, 236888, 28819, 506, 2290, 236764, 57467, 236888, 236743, 245662, 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, 8974, 496, 6596, 2608, 573, 1041, 18437, 1012, 236761, 564, 1202, 531, 1586, 506, 11333, 3364, 50289, 529, 236743, 236812, 236828, 532, 236743, 236770, 236828, 236764, 532, 1299, 1586, 506, 231372, 529, 600, 1354, 607, 236743, 236778, 236812, 236761, 28344, 611, 1601, 786, 607, 1239, 15621, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 818, 11333, 3364, 50289, 568, 235581, 236768, 15621, 659, 618, 5238, 236787, 108, 236770, 236761, 5213, 235581, 529, 236743, 236812, 236828, 532, 236743, 236770, 236828, 1018, 578, 236743, 236825, 138, 107, 236778, 236761, 5213, 235581, 529, 236743, 236825, 532, 236743, 236778, 236812, 1018, 578, 236743, 236825, 138, 108, 1018, 17667, 25685, 66515, 669, 1354, 529, 1800, 15621, 563, 5213, 236825, 84750, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 1161, 506, 1586, 236779, 109359, 5904, 573, 1546, 14988, 2918, 5205, 529, 17900, 625, 5467, 236761, 5315, 236764, 1845, 1586, 236779, 109359, 580, 236743, 236812, 236828, 532, 236743, 236770, 236828, 236764, 1299, 1769, 600, 1354, 532, 1845, 1586, 236779, 109359, 1570, 607, 236743, 236778, 236812, 236761, 9996, 2889, 1546, 2918, 6178, 506, 5904, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 818, 11333, 3364, 50289, 568, 235581, 236768, 15621, 1699, 506, 2165, 4114, 236779, 109359, 236929, 5904, 659, 618, 5238, 236787, 108, 236770, 236761, 5213, 7280, 2918, 66515, 231372, 529, 2165, 236812, 236828, 236929, 532, 2165, 236770, 236828, 236929, 16130, 5213, 236825, 1018, 138, 107, 236778, 236761, 5213, 12400, 2918, 66515, 231372, 529, 2165, 236825, 236929, 532, 2165, 236778, 236812, 236929, 16130, 5213, 236825, 1018, 138, 108, 1018, 17667, 11130, 66515, 10508, 15621, 6422, 5213, 236825, 84750, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 8974, 496, 6596, 2608, 573, 1041, 18437, 1012, 236761, 564, 1202, 531, 1586, 506, 11333, 3364, 50289, 529, 236743, 236812, 236828, 532, 236743, 236770, 236828, 236764, 532, 1299, 1586, 506, 231372, 529, 600, 1354, 607, 236743, 236778, 236812, 236761, 28344, 611, 1601, 786, 607, 1239, 15621, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 818, 11333, 3364, 50289, 568, 235581, 236768, 15621, 659, 618, 5238, 236787, 108, 236770, 236761, 5213, 235581, 529, 236743, 236812, 236828, 532, 236743, 236770, 236828, 1018, 578, 236743, 236825, 138, 107, 236778, 236761, 5213, 235581, 529, 236743, 236825, 532, 236743, 236778, 236812, 1018, 578, 236743, 236825, 138, 108, 1018, 17667, 25685, 66515, 669, 1354, 529, 1800, 15621, 563, 5213, 236825, 84750, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 1161, 506, 1586, 236779, 109359, 5904, 573, 1546, 14988, 2918, 5205, 529, 17900, 625, 5467, 236761, 5315, 236764, 1845, 1586, 236779, 109359, 580, 236743, 236812, 236828, 532, 236743, 236770, 236828, 236764, 1299, 1769, 600, 1354, 532, 1845, 1586, 236779, 109359, 1570, 607, 236743, 236778, 236812, 236761, 9996, 2889, 1546, 2918, 6178, 506, 5904, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109359, 1083, 236743, 236825, 236783, 106, 107, 105, 4368, 107, 818, 11333, 3364, 50289, 568, 235581, 236768, 15621, 1699, 506, 2165, 4114, 236779, 109359, 236929, 5904, 659, 618, 5238, 236787, 108, 236770, 236761, 5213, 7280, 2918, 66515, 231372, 529, 2165, 236812, 236828, 236929, 532, 2165, 236770, 236828, 236929, 16130, 5213, 236825, 1018, 138, 107, 236778, 236761, 5213, 12400, 2918, 66515, 231372, 529, 2165, 236825, 236929, 532, 2165, 236778, 236812, 236929, 16130, 5213, 236825, 1018, 138, 108, 1018, 17667, 11130, 66515, 10508, 15621, 6422, 5213, 236825, 84750, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 21307, 8860, 13291, 568, 96402, 236768, 1699, 3825, 532, 3558, 10802, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 21307, 8860, 13291, 568, 96402, 236768, 1699, 3825, 532, 3558, 10802, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 54254, 236764, 496, 5589, 10095, 1590, 528, 103043, 8674, 68648, 236761, 564, 236789, 236757, 35447, 496, 3399, 1610, 532, 8568, 2460, 2148, 8224, 657, 506, 103043, 8674, 68648, 11493, 6022, 237028, 85832, 4972, 236764, 2263, 1610, 19365, 236764, 532, 3892, 4252, 531, 3437, 18361, 3075, 236761, 564, 1461, 531, 1868, 496, 42527, 21866, 840, 1202, 531, 4926, 496, 2263, 8325, 236789, 236751, 5410, 236761, 564, 236789, 560, 2506, 1156, 5618, 528, 3666, 236787, 623, 30495, 50746, 104168, 236775, 568, 236746, 42289, 1015, 992, 74848, 236768, 532, 768, 600, 4038, 236789, 236745, 981, 236764, 623, 199646, 117074, 236775, 568, 236746, 39162, 564, 236789, 560, 6827, 657, 506, 5148, 6281, 769, 5315, 236764, 1161, 506, 2165, 712, 236779, 78382, 236779, 2543, 236779, 31040, 236929, 5904, 531, 12270, 102876, 104168, 236789, 236751, 12384, 236761, 1637, 625, 20269, 568, 5282, 951, 2536, 779, 5702, 531, 93325, 117074, 236761, 4298, 236764, 1769, 506, 808, 6005, 5410, 236829, 699, 506, 6595, 3072, 532, 1868, 625, 4323, 2165, 3274, 236779, 72906, 236929, 607, 672, 4453, 3618, 236787, 623, 22163, 775, 657, 506, 103043, 8674, 68648, 11493, 6022, 2148, 8224, 573, 1610, 236764, 18660, 236764, 532, 4252, 236888, 7179, 855, 46876, 24013, 3822, 93977, 684, 2263, 8325, 102876, 104168, 568, 504, 93325, 117074, 768, 4354, 769, 997, 4976, 685, 8674, 68648, 997, 46640, 3500, 236775, 9996, 2889, 506, 5410, 3822, 563, 16630, 5467, 699, 506, 5904, 236789, 236751, 3072, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 11058, 84585, 580, 6400, 6718, 827, 623, 16520, 188922, 529, 103043, 8674, 68648, 827, 623, 46640, 19657, 28328, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72906, 236779, 547, 1083, 623, 236770, 236832, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 95845, 827, 623, 2451, 1083, 623, 2574, 1411, 13701, 236761, 854, 236786, 2364, 236786, 4818, 236786, 236770, 236832, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 42527, 21866, 815, 1010, 10428, 12551, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 1018, 75427, 12551, 53121, 138, 107, 236775, 22163, 775, 657, 506, 103043, 8674, 68648, 11493, 6022, 2148, 8224, 573, 1610, 236764, 18660, 236764, 532, 4252, 236888, 7179, 855, 756, 84585, 580, 6400, 6718, 236789, 684, 2263, 8325, 102876, 104168, 236761, 997, 4976, 685, 8674, 68648, 997, 46640, 3500, 236775, 138, 108, 245958, 870, 2039, 73538, 5457, 2574, 1411, 13701, 236761, 854, 236786, 2364, 236786, 4818, 236786, 236770, 236832, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236768, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 4658, 1663, 573, 506, 2460, 236888, 236743, 245838, 248207, 243336, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 54254, 236764, 496, 5589, 10095, 1590, 528, 103043, 8674, 68648, 236761, 564, 236789, 236757, 35447, 496, 3399, 1610, 532, 8568, 2460, 2148, 8224, 657, 506, 103043, 8674, 68648, 11493, 6022, 237028, 85832, 4972, 236764, 2263, 1610, 19365, 236764, 532, 3892, 4252, 531, 3437, 18361, 3075, 236761, 564, 1461, 531, 1868, 496, 42527, 21866, 840, 1202, 531, 4926, 496, 2263, 8325, 236789, 236751, 5410, 236761, 564, 236789, 560, 2506, 1156, 5618, 528, 3666, 236787, 623, 30495, 50746, 104168, 236775, 568, 236746, 42289, 1015, 992, 74848, 236768, 532, 768, 600, 4038, 236789, 236745, 981, 236764, 623, 199646, 117074, 236775, 568, 236746, 39162, 564, 236789, 560, 6827, 657, 506, 5148, 6281, 769, 5315, 236764, 1161, 506, 2165, 712, 236779, 78382, 236779, 2543, 236779, 31040, 236929, 5904, 531, 12270, 102876, 104168, 236789, 236751, 12384, 236761, 1637, 625, 20269, 568, 5282, 951, 2536, 779, 5702, 531, 93325, 117074, 236761, 4298, 236764, 1769, 506, 808, 6005, 5410, 236829, 699, 506, 6595, 3072, 532, 1868, 625, 4323, 2165, 3274, 236779, 72906, 236929, 607, 672, 4453, 3618, 236787, 623, 22163, 775, 657, 506, 103043, 8674, 68648, 11493, 6022, 2148, 8224, 573, 1610, 236764, 18660, 236764, 532, 4252, 236888, 7179, 855, 46876, 24013, 3822, 93977, 684, 2263, 8325, 102876, 104168, 568, 504, 93325, 117074, 768, 4354, 769, 997, 4976, 685, 8674, 68648, 997, 46640, 3500, 236775, 9996, 2889, 506, 5410, 3822, 563, 16630, 5467, 699, 506, 5904, 236789, 236751, 3072, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 11058, 84585, 580, 6400, 6718, 827, 623, 16520, 188922, 529, 103043, 8674, 68648, 827, 623, 46640, 19657, 28328, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72906, 236779, 547, 1083, 623, 236770, 236832, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 95845, 827, 623, 2451, 1083, 623, 2574, 1411, 13701, 236761, 854, 236786, 2364, 236786, 4818, 236786, 236770, 236832, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 42527, 21866, 815, 1010, 10428, 12551, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 1018, 75427, 12551, 53121, 138, 107, 236775, 22163, 775, 657, 506, 103043, 8674, 68648, 11493, 6022, 2148, 8224, 573, 1610, 236764, 18660, 236764, 532, 4252, 236888, 7179, 855, 756, 84585, 580, 6400, 6718, 236789, 684, 2263, 8325, 102876, 104168, 236761, 997, 4976, 685, 8674, 68648, 997, 46640, 3500, 236775, 138, 108, 245958, 870, 2039, 73538, 5457, 2574, 1411, 13701, 236761, 854, 236786, 2364, 236786, 4818, 236786, 236770, 236832, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236768, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 4658, 1663, 573, 506, 2460, 236888, 236743, 245838, 248207, 243336, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 8729, 496, 4940, 3499, 529, 236743, 236770, 236771, 25630, 1534, 236743, 236770, 236772, 236770, 236771, 236771, 236764, 1299, 2619, 496, 1594, 4865, 529, 600, 3499, 573, 18256, 236761, 3792, 236789, 236751, 1502, 607, 506, 4940, 3499, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7513, 236779, 2513, 1083, 870, 236812, 236778, 236764, 236743, 236770, 236810, 236764, 236743, 236828, 236828, 236764, 236743, 236800, 236764, 236743, 236832, 236770, 236764, 236743, 236778, 236812, 236764, 236743, 236819, 236810, 236764, 236743, 236810, 236825, 236764, 236743, 236770, 236771, 236764, 236743, 236825, 236832, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 2513, 1083, 870, 236812, 236778, 236764, 236743, 236770, 236810, 236764, 236743, 236828, 236828, 236764, 236743, 236800, 236764, 236743, 236832, 236770, 236764, 236743, 236778, 236812, 236764, 236743, 236819, 236810, 236764, 236743, 236810, 236825, 236764, 236743, 236770, 236771, 236764, 236743, 236825, 236832, 1604, 623, 2181, 236779, 10401, 236779, 4818, 1083, 623, 3694, 9831, 4464, 10428, 827, 623, 17186, 236779, 547, 1083, 623, 13880, 236823, 236772, 20721, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 4940, 3499, 532, 1594, 4865, 236787, 108, 1018, 30498, 8199, 53121, 107, 236840, 236812, 236778, 236764, 236743, 236770, 236810, 236764, 236743, 236828, 236828, 236764, 236743, 236800, 236764, 236743, 236832, 236770, 236764, 236743, 236778, 236812, 236764, 236743, 236819, 236810, 236764, 236743, 236810, 236825, 236764, 236743, 236770, 236771, 236764, 236743, 236825, 236832, 236842, 108, 1018, 3694, 11371, 18365, 53121, 107, 240732, 5803, 9831, 4464, 10428, 107, 236772, 35265, 5853, 236787, 24328, 236823, 236772, 20721, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 108, 818, 1594, 4865, 32618, 506, 4453, 1638, 2979, 618, 506, 3303, 3499, 573, 18256, 8616, 236761, 21284, 611, 1133, 531, 2121, 1027, 4767, 6675, 607, 672, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 8729, 496, 4940, 3499, 529, 236743, 236770, 236771, 25630, 1534, 236743, 236770, 236772, 236770, 236771, 236771, 236764, 1299, 2619, 496, 1594, 4865, 529, 600, 3499, 573, 18256, 236761, 3792, 236789, 236751, 1502, 607, 506, 4940, 3499, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7513, 236779, 2513, 1083, 870, 236812, 236778, 236764, 236743, 236770, 236810, 236764, 236743, 236828, 236828, 236764, 236743, 236800, 236764, 236743, 236832, 236770, 236764, 236743, 236778, 236812, 236764, 236743, 236819, 236810, 236764, 236743, 236810, 236825, 236764, 236743, 236770, 236771, 236764, 236743, 236825, 236832, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 2513, 1083, 870, 236812, 236778, 236764, 236743, 236770, 236810, 236764, 236743, 236828, 236828, 236764, 236743, 236800, 236764, 236743, 236832, 236770, 236764, 236743, 236778, 236812, 236764, 236743, 236819, 236810, 236764, 236743, 236810, 236825, 236764, 236743, 236770, 236771, 236764, 236743, 236825, 236832, 1604, 623, 2181, 236779, 10401, 236779, 4818, 1083, 623, 3694, 9831, 4464, 10428, 827, 623, 17186, 236779, 547, 1083, 623, 13880, 236823, 236772, 20721, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 4940, 3499, 532, 1594, 4865, 236787, 108, 1018, 30498, 8199, 53121, 107, 236840, 236812, 236778, 236764, 236743, 236770, 236810, 236764, 236743, 236828, 236828, 236764, 236743, 236800, 236764, 236743, 236832, 236770, 236764, 236743, 236778, 236812, 236764, 236743, 236819, 236810, 236764, 236743, 236810, 236825, 236764, 236743, 236770, 236771, 236764, 236743, 236825, 236832, 236842, 108, 1018, 3694, 11371, 18365, 53121, 107, 240732, 5803, 9831, 4464, 10428, 107, 236772, 35265, 5853, 236787, 24328, 236823, 236772, 20721, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 108, 818, 1594, 4865, 32618, 506, 4453, 1638, 2979, 618, 506, 3303, 3499, 573, 18256, 8616, 236761, 21284, 611, 1133, 531, 2121, 1027, 4767, 6675, 607, 672, 1262, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 1601, 786, 974, 784, 8735, 699, 506, 756, 12641, 236789, 17503, 528, 506, 756, 22504, 236779, 20746, 236789, 15297, 236881, 564, 236789, 236757, 711, 2889, 1003, 506, 6518, 236764, 834, 1531, 236789, 236751, 6568, 607, 506, 3678, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 33205, 784, 8735, 699, 506, 756, 12641, 236789, 17503, 528, 506, 756, 22504, 236779, 20746, 236789, 15297, 1699, 506, 3678, 6518, 236761, 3792, 786, 13707, 600, 573, 611, 236761, 108, 2717, 6719, 107, 236865, 10352, 506, 15297, 5904, 531, 974, 784, 8735, 699, 756, 12641, 236789, 17503, 107, 53247, 578, 974, 236779, 17749, 236779, 53247, 236769, 17749, 236779, 1201, 2507, 22504, 236779, 20746, 963, 17503, 2507, 12641, 1606, 107, 2717, 108, 236777, 236789, 560, 52236, 784, 506, 8735, 699, 506, 756, 12641, 236789, 17503, 236761, 21284, 611, 1133, 786, 531, 1407, 611, 496, 5498, 529, 506, 1262, 653, 1601, 607, 1027, 3530, 3671, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 1601, 786, 974, 784, 8735, 699, 506, 756, 12641, 236789, 17503, 528, 506, 756, 22504, 236779, 20746, 236789, 15297, 236881, 564, 236789, 236757, 711, 2889, 1003, 506, 6518, 236764, 834, 1531, 236789, 236751, 6568, 607, 506, 3678, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 33205, 784, 8735, 699, 506, 756, 12641, 236789, 17503, 528, 506, 756, 22504, 236779, 20746, 236789, 15297, 1699, 506, 3678, 6518, 236761, 3792, 786, 13707, 600, 573, 611, 236761, 108, 2717, 6719, 107, 236865, 10352, 506, 15297, 5904, 531, 974, 784, 8735, 699, 756, 12641, 236789, 17503, 107, 53247, 578, 974, 236779, 17749, 236779, 53247, 236769, 17749, 236779, 1201, 2507, 22504, 236779, 20746, 963, 17503, 2507, 12641, 1606, 107, 2717, 108, 236777, 236789, 560, 52236, 784, 506, 8735, 699, 506, 756, 12641, 236789, 17503, 236761, 21284, 611, 1133, 786, 531, 1407, 611, 496, 5498, 529, 506, 1262, 653, 1601, 607, 1027, 3530, 3671, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 33904, 699, 161903, 17438, 23566, 236761, 564, 236789, 236757, 6995, 496, 2434, 2460, 607, 496, 91153, 5168, 236772, 52728, 7824, 532, 1202, 531, 1900, 2401, 494, 236772, 46299, 236761, 5315, 236764, 5091, 1161, 506, 12270, 236779, 25385, 236779, 13308, 5904, 531, 974, 1023, 35759, 28316, 573, 623, 52617, 10671, 17438, 23566, 1781, 4298, 236764, 1769, 600, 28316, 1463, 699, 506, 3072, 532, 1161, 506, 2426, 236779, 14973, 5904, 531, 16807, 768, 506, 623, 52617, 10671, 10765, 558, 236772, 91703, 236775, 563, 528, 2862, 236761, 3792, 786, 1281, 506, 28316, 1463, 3622, 611, 735, 625, 834, 564, 740, 7162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23717, 236779, 1201, 1083, 623, 195548, 5168, 157625, 2372, 10498, 623, 11607, 1083, 623, 11339, 236940, 54015, 5168, 1110, 49718, 236761, 854, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 91153, 5168, 4585, 9252, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236800, 236771, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 54015, 5168, 1110, 49718, 236761, 854, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 623, 52617, 10671, 10765, 558, 236772, 91703, 827, 623, 7125, 1083, 623, 120365, 236764, 16586, 827, 623, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 22111, 1083, 236743, 236770, 236778, 236771, 236783, 106, 107, 105, 4368, 107, 818, 28316, 573, 161903, 17438, 23566, 563, 5213, 195548, 5168, 157625, 2372, 99382, 568, 11607, 236787, 10400, 236940, 54015, 5168, 1110, 49718, 236761, 854, 236764, 3421, 236787, 236743, 236770, 236778, 236800, 91153, 5168, 4585, 9252, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236800, 236771, 769, 138, 108, 818, 623, 52617, 10671, 10765, 558, 236772, 91703, 236775, 563, 5213, 495, 2862, 1018, 657, 910, 22403, 4563, 607, 5213, 236770, 236778, 236771, 6630, 2487, 84750, 1599, 236858, 500, 784, 1076, 531, 7162, 607, 822, 1900, 236888, 236743, 245838, 251874, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 33904, 699, 161903, 17438, 23566, 236761, 564, 236789, 236757, 6995, 496, 2434, 2460, 607, 496, 91153, 5168, 236772, 52728, 7824, 532, 1202, 531, 1900, 2401, 494, 236772, 46299, 236761, 5315, 236764, 5091, 1161, 506, 12270, 236779, 25385, 236779, 13308, 5904, 531, 974, 1023, 35759, 28316, 573, 623, 52617, 10671, 17438, 23566, 1781, 4298, 236764, 1769, 600, 28316, 1463, 699, 506, 3072, 532, 1161, 506, 2426, 236779, 14973, 5904, 531, 16807, 768, 506, 623, 52617, 10671, 10765, 558, 236772, 91703, 236775, 563, 528, 2862, 236761, 3792, 786, 1281, 506, 28316, 1463, 3622, 611, 735, 625, 834, 564, 740, 7162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23717, 236779, 1201, 1083, 623, 195548, 5168, 157625, 2372, 10498, 623, 11607, 1083, 623, 11339, 236940, 54015, 5168, 1110, 49718, 236761, 854, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 91153, 5168, 4585, 9252, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236800, 236771, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 54015, 5168, 1110, 49718, 236761, 854, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 623, 52617, 10671, 10765, 558, 236772, 91703, 827, 623, 7125, 1083, 623, 120365, 236764, 16586, 827, 623, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 22111, 1083, 236743, 236770, 236778, 236771, 236783, 106, 107, 105, 4368, 107, 818, 28316, 573, 161903, 17438, 23566, 563, 5213, 195548, 5168, 157625, 2372, 99382, 568, 11607, 236787, 10400, 236940, 54015, 5168, 1110, 49718, 236761, 854, 236764, 3421, 236787, 236743, 236770, 236778, 236800, 91153, 5168, 4585, 9252, 236764, 22403, 236764, 16586, 236743, 236800, 236800, 236770, 236800, 236771, 769, 138, 108, 818, 623, 52617, 10671, 10765, 558, 236772, 91703, 236775, 563, 5213, 495, 2862, 1018, 657, 910, 22403, 4563, 607, 5213, 236770, 236778, 236771, 6630, 2487, 84750, 1599, 236858, 500, 784, 1076, 531, 7162, 607, 822, 1900, 236888, 236743, 245838, 251874, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 6972, 1003, 6250, 496, 2780, 9685, 1960, 68916, 528, 19549, 56179, 19292, 236764, 26614, 1041, 2765, 573, 14049, 607, 9975, 29279, 236789, 236751, 8568, 6540, 236761, 2282, 2958, 506, 2263, 2436, 236764, 564, 236789, 236753, 1133, 531, 2426, 855, 506, 1346, 4913, 12616, 528, 5148, 236764, 4285, 1724, 607, 1494, 24074, 573, 9578, 27249, 236761, 28344, 611, 1601, 786, 1586, 506, 1903, 236743, 236810, 60194, 12616, 528, 9975, 29279, 236764, 3247, 236764, 19541, 580, 6666, 600, 22064, 6672, 185761, 34894, 607, 5251, 76589, 236881, 1174, 1093, 2126, 1601, 786, 3050, 1144, 236789, 236751, 2844, 528, 506, 2263, 2780, 8317, 1680, 564, 8912, 1041, 1960, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 818, 47374, 54189, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236778, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 66850, 1083, 11058, 68388, 22064, 529, 21568, 56179, 532, 61521, 5931, 2780, 41218, 623, 15545, 236772, 6572, 21568, 82142, 607, 2263, 1360, 7814, 1399, 9174, 1781, 59117, 3714, 1201, 1083, 623, 41210, 10958, 103241, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 7720, 1083, 623, 236812, 236810, 236825, 143964, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236800, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 9873, 827, 623, 66850, 1083, 11058, 235899, 20239, 164298, 1099, 34162, 236785, 236756, 236778, 236771, 236770, 236812, 20738, 532, 14788, 41218, 623, 818, 8098, 39571, 24156, 607, 25814, 236772, 50599, 6360, 563, 496, 86736, 1781, 59117, 3714, 1201, 1083, 623, 818, 48906, 126462, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7720, 1083, 623, 236832, 236828, 236819, 34033, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236812, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 66850, 1083, 11058, 120453, 529, 14105, 56179, 532, 14809, 34894, 236785, 236756, 236778, 236771, 236770, 236812, 4671, 232371, 532, 16627, 41218, 623, 37107, 111984, 236772, 228508, 52050, 607, 195417, 215306, 659, 33195, 1781, 59117, 3714, 1201, 1083, 623, 66057, 98306, 19871, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 7720, 1083, 623, 236770, 236771, 236770, 191116, 56258, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236810, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 66850, 1083, 11058, 75455, 76589, 580, 185761, 59454, 607, 4185, 35226, 10498, 623, 818, 50346, 2359, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 1360, 7814, 1399, 607, 51894, 71800, 563, 496, 1921, 236888, 152254, 3714, 1201, 1083, 623, 818, 163636, 63044, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 7720, 1083, 623, 236778, 236771, 236778, 649, 38140, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236778, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 827, 623, 66850, 1083, 11058, 46600, 64315, 19549, 55936, 607, 496, 5764, 236772, 1071, 236772, 5127, 3213, 10498, 623, 27455, 506, 9380, 25852, 82142, 607, 2263, 21949, 143996, 236888, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 32708, 29279, 236764, 3247, 827, 623, 230586, 1083, 623, 50455, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 60194, 19549, 12616, 528, 9975, 29279, 236764, 3247, 236764, 600, 22064, 185761, 28968, 607, 5251, 34894, 236787, 108, 236770, 236761, 5213, 818, 47374, 54189, 1018, 50428, 236812, 236761, 236832, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236778, 236800, 6400, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 21568, 56179, 900, 61521, 5931, 138, 107, 139, 236829, 69694, 573, 149681, 21568, 82142, 607, 1360, 7814, 1399, 9174, 138, 107, 139, 236829, 11280, 149681, 18666, 138, 108, 236778, 236761, 5213, 41210, 10958, 103241, 1018, 50428, 236812, 236761, 236810, 138, 107, 139, 236829, 9604, 149681, 236743, 236812, 236810, 236825, 143964, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 116264, 900, 164298, 1099, 34162, 138, 107, 139, 236829, 56767, 149681, 8098, 39571, 24156, 607, 25814, 6360, 138, 107, 139, 236829, 11280, 149681, 234956, 138, 108, 236800, 236761, 5213, 818, 48906, 126462, 1018, 50428, 236812, 236761, 236825, 138, 107, 139, 236829, 9604, 149681, 236743, 236832, 236828, 236819, 34033, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 14105, 56179, 900, 14809, 19549, 138, 107, 139, 236829, 30654, 13415, 149681, 111500, 236772, 228508, 52050, 607, 195417, 215306, 138, 107, 139, 236829, 11280, 149681, 18666, 138, 108, 236812, 236761, 5213, 66057, 98306, 19871, 1018, 50428, 236812, 236761, 236812, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236771, 236770, 191116, 56258, 138, 107, 139, 236829, 236780, 109846, 149681, 11250, 35226, 580, 185761, 59454, 138, 107, 139, 236829, 68825, 4188, 149681, 75639, 2359, 6650, 1360, 7814, 1399, 607, 51894, 71800, 138, 107, 139, 236829, 11280, 149681, 18666, 138, 108, 236810, 236761, 5213, 818, 163636, 63044, 1018, 50428, 236812, 236761, 236800, 138, 107, 139, 236829, 9604, 149681, 236743, 236778, 236771, 236778, 649, 38140, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 14029, 236772, 1071, 236772, 5127, 19549, 138, 107, 139, 236829, 23244, 1363, 149681, 32277, 25852, 82142, 607, 21949, 143996, 138, 107, 139, 236829, 11280, 149681, 609, 138, 108, 1018, 19892, 15067, 531, 5433, 53121, 138, 107, 236772, 21568, 236772, 41210, 10958, 532, 14105, 236772, 46028, 82340, 41932, 10595, 138, 107, 236772, 12263, 13153, 568, 236744, 236761, 236759, 1126, 25814, 6360, 236768, 659, 24724, 138, 107, 236772, 45750, 742, 3385, 3298, 568, 4624, 9873, 236768, 607, 9578, 76589, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 18840, 3530, 6831, 4852, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 6972, 1003, 6250, 496, 2780, 9685, 1960, 68916, 528, 19549, 56179, 19292, 236764, 26614, 1041, 2765, 573, 14049, 607, 9975, 29279, 236789, 236751, 8568, 6540, 236761, 2282, 2958, 506, 2263, 2436, 236764, 564, 236789, 236753, 1133, 531, 2426, 855, 506, 1346, 4913, 12616, 528, 5148, 236764, 4285, 1724, 607, 1494, 24074, 573, 9578, 27249, 236761, 28344, 611, 1601, 786, 1586, 506, 1903, 236743, 236810, 60194, 12616, 528, 9975, 29279, 236764, 3247, 236764, 19541, 580, 6666, 600, 22064, 6672, 185761, 34894, 607, 5251, 76589, 236881, 1174, 1093, 2126, 1601, 786, 3050, 1144, 236789, 236751, 2844, 528, 506, 2263, 2780, 8317, 1680, 564, 8912, 1041, 1960, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 818, 47374, 54189, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236778, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 66850, 1083, 11058, 68388, 22064, 529, 21568, 56179, 532, 61521, 5931, 2780, 41218, 623, 15545, 236772, 6572, 21568, 82142, 607, 2263, 1360, 7814, 1399, 9174, 1781, 59117, 3714, 1201, 1083, 623, 41210, 10958, 103241, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 7720, 1083, 623, 236812, 236810, 236825, 143964, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236800, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 9873, 827, 623, 66850, 1083, 11058, 235899, 20239, 164298, 1099, 34162, 236785, 236756, 236778, 236771, 236770, 236812, 20738, 532, 14788, 41218, 623, 818, 8098, 39571, 24156, 607, 25814, 236772, 50599, 6360, 563, 496, 86736, 1781, 59117, 3714, 1201, 1083, 623, 818, 48906, 126462, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7720, 1083, 623, 236832, 236828, 236819, 34033, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236812, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 66850, 1083, 11058, 120453, 529, 14105, 56179, 532, 14809, 34894, 236785, 236756, 236778, 236771, 236770, 236812, 4671, 232371, 532, 16627, 41218, 623, 37107, 111984, 236772, 228508, 52050, 607, 195417, 215306, 659, 33195, 1781, 59117, 3714, 1201, 1083, 623, 66057, 98306, 19871, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 7720, 1083, 623, 236770, 236771, 236770, 191116, 56258, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236810, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 122317, 623, 66850, 1083, 11058, 75455, 76589, 580, 185761, 59454, 607, 4185, 35226, 10498, 623, 818, 50346, 2359, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 1360, 7814, 1399, 607, 51894, 71800, 563, 496, 1921, 236888, 152254, 3714, 1201, 1083, 623, 818, 163636, 63044, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 7720, 1083, 623, 236778, 236771, 236778, 649, 38140, 842, 236764, 9975, 29279, 236764, 3247, 236743, 236812, 236825, 236828, 236771, 236778, 827, 623, 230586, 1083, 623, 120453, 827, 623, 9707, 236779, 8572, 1083, 6610, 827, 623, 66850, 1083, 11058, 46600, 64315, 19549, 55936, 607, 496, 5764, 236772, 1071, 236772, 5127, 3213, 10498, 623, 27455, 506, 9380, 25852, 82142, 607, 2263, 21949, 143996, 236888, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 32708, 29279, 236764, 3247, 827, 623, 230586, 1083, 623, 50455, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 60194, 19549, 12616, 528, 9975, 29279, 236764, 3247, 236764, 600, 22064, 185761, 28968, 607, 5251, 34894, 236787, 108, 236770, 236761, 5213, 818, 47374, 54189, 1018, 50428, 236812, 236761, 236832, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236778, 236800, 6400, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 21568, 56179, 900, 61521, 5931, 138, 107, 139, 236829, 69694, 573, 149681, 21568, 82142, 607, 1360, 7814, 1399, 9174, 138, 107, 139, 236829, 11280, 149681, 18666, 138, 108, 236778, 236761, 5213, 41210, 10958, 103241, 1018, 50428, 236812, 236761, 236810, 138, 107, 139, 236829, 9604, 149681, 236743, 236812, 236810, 236825, 143964, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 116264, 900, 164298, 1099, 34162, 138, 107, 139, 236829, 56767, 149681, 8098, 39571, 24156, 607, 25814, 6360, 138, 107, 139, 236829, 11280, 149681, 234956, 138, 108, 236800, 236761, 5213, 818, 48906, 126462, 1018, 50428, 236812, 236761, 236825, 138, 107, 139, 236829, 9604, 149681, 236743, 236832, 236828, 236819, 34033, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 14105, 56179, 900, 14809, 19549, 138, 107, 139, 236829, 30654, 13415, 149681, 111500, 236772, 228508, 52050, 607, 195417, 215306, 138, 107, 139, 236829, 11280, 149681, 18666, 138, 108, 236812, 236761, 5213, 66057, 98306, 19871, 1018, 50428, 236812, 236761, 236812, 138, 107, 139, 236829, 9604, 149681, 236743, 236770, 236771, 236770, 191116, 56258, 138, 107, 139, 236829, 236780, 109846, 149681, 11250, 35226, 580, 185761, 59454, 138, 107, 139, 236829, 68825, 4188, 149681, 75639, 2359, 6650, 1360, 7814, 1399, 607, 51894, 71800, 138, 107, 139, 236829, 11280, 149681, 18666, 138, 108, 236810, 236761, 5213, 818, 163636, 63044, 1018, 50428, 236812, 236761, 236800, 138, 107, 139, 236829, 9604, 149681, 236743, 236778, 236771, 236778, 649, 38140, 842, 138, 107, 139, 236829, 236780, 109846, 149681, 14029, 236772, 1071, 236772, 5127, 19549, 138, 107, 139, 236829, 23244, 1363, 149681, 32277, 25852, 82142, 607, 21949, 143996, 138, 107, 139, 236829, 11280, 149681, 609, 138, 108, 1018, 19892, 15067, 531, 5433, 53121, 138, 107, 236772, 21568, 236772, 41210, 10958, 532, 14105, 236772, 46028, 82340, 41932, 10595, 138, 107, 236772, 12263, 13153, 568, 236744, 236761, 236759, 1126, 25814, 6360, 236768, 659, 24724, 138, 107, 236772, 45750, 742, 3385, 3298, 568, 4624, 9873, 236768, 607, 9578, 76589, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 18840, 3530, 6831, 4852, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22260, 125997, 6828, 7760, 531, 8729, 13726, 7623, 573, 1041, 3399, 23538, 2203, 236761, 3792, 236789, 236751, 1502, 684, 32187, 506, 1903, 46840, 36513, 580, 1800, 587, 2266, 532, 7214, 7393, 54389, 14175, 1024, 506, 3068, 7737, 236761, 5315, 236764, 1161, 47556, 29521, 612, 1209, 5900, 531, 8701, 506, 1903, 236743, 236810, 36513, 684, 5542, 580, 587, 2266, 699, 6027, 531, 5261, 236743, 236778, 236771, 236778, 236800, 236761, 4298, 236764, 4071, 236772, 30449, 1239, 607, 44959, 7393, 37280, 612, 1209, 5900, 573, 506, 1638, 2846, 236761, 1637, 993, 236789, 236751, 1027, 7444, 1463, 59725, 1534, 14175, 236764, 1161, 44959, 7393, 828, 45787, 184629, 531, 16807, 46840, 15067, 236761, 13472, 236764, 5510, 47556, 1064, 10777, 800, 1516, 531, 506, 1806, 1346, 9958, 36513, 3418, 1800, 14175, 531, 5608, 910, 236743, 236819, 236771, 236772, 1496, 3736, 19455, 236761, 2199, 7759, 531, 6253, 506, 990, 4771, 684, 22820, 236770, 236810, 2668, 768, 4068, 1262, 3831, 28322, 43866, 9935, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 184629, 1083, 78493, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 100725, 236772, 19642, 827, 623, 131770, 236779, 20845, 1083, 623, 236812, 236810, 236761, 236778, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236828, 236761, 236832, 236792, 23058, 827, 623, 35535, 1083, 623, 236770, 236778, 236761, 236812, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 3118, 18540, 236772, 7172, 236777, 827, 623, 131770, 236779, 20845, 1083, 623, 236800, 236828, 236761, 236819, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236810, 236761, 236800, 236792, 23058, 827, 623, 35535, 1083, 623, 236819, 236761, 236828, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 52762, 236772, 3118, 12622, 827, 623, 131770, 236779, 20845, 1083, 623, 236800, 236778, 236761, 236770, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236800, 236761, 236810, 236792, 23058, 827, 623, 35535, 1083, 623, 236770, 236770, 236761, 236778, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 28110, 236772, 100725, 827, 623, 131770, 236779, 20845, 1083, 623, 236778, 236832, 236761, 236812, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236771, 236761, 236819, 236792, 23058, 827, 623, 35535, 1083, 623, 236828, 236761, 236825, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 85927, 236772, 19642, 827, 623, 131770, 236779, 20845, 1083, 623, 236778, 236812, 236761, 236828, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236819, 236761, 236778, 236792, 23058, 827, 623, 35535, 1083, 623, 236770, 236771, 236761, 236770, 236908, 25938, 1604, 623, 2289, 236779, 7414, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 623, 19099, 1083, 623, 236792, 2266, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 184629, 1083, 11058, 152799, 7393, 54389, 236779, 19642, 236779, 3118, 12622, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 100725, 236779, 3118, 18540, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 7172, 236777, 236779, 3118, 12622, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 52762, 236779, 3118, 18540, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 230635, 236779, 3118, 12622, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 14255, 623, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 6725, 236779, 184629, 236779, 79082, 8562, 1083, 236743, 236812, 236778, 236764, 623, 7212, 236779, 72579, 1083, 623, 78353, 12376, 5542, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16754, 1083, 623, 100725, 236772, 19642, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 45787, 236779, 184629, 1083, 78493, 11138, 236779, 1201, 1083, 623, 152799, 7393, 54389, 74436, 236772, 19642, 30634, 14475, 34401, 827, 623, 22775, 14475, 1083, 623, 236770, 236778, 236828, 236810, 236812, 236800, 236771, 236761, 236810, 236771, 23058, 827, 623, 15080, 1083, 236743, 236770, 236764, 623, 9715, 236779, 2861, 1083, 236743, 236770, 236812, 236810, 236778, 1263, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 74436, 236772, 19642, 12713, 236772, 29415, 34401, 827, 623, 22775, 14475, 1083, 623, 236819, 236812, 236778, 236800, 236828, 236832, 236761, 236778, 236810, 23058, 827, 623, 15080, 1083, 236743, 236778, 236764, 623, 9715, 236779, 2861, 1083, 236743, 236770, 236770, 236778, 236828, 1263, 3714, 11138, 236779, 1201, 1083, 623, 131022, 74436, 236772, 19642, 71509, 133789, 827, 623, 22775, 14475, 1083, 623, 236832, 236825, 236812, 236778, 236771, 236819, 236761, 236832, 236810, 23058, 827, 623, 15080, 1083, 236743, 236800, 236764, 623, 9715, 236779, 2861, 1083, 236743, 236819, 236828, 236812, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 16754, 1083, 623, 100725, 236772, 19642, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 2289, 236779, 8572, 236779, 14356, 1083, 236743, 236819, 236771, 236764, 623, 1516, 236779, 11116, 1083, 236743, 236819, 236771, 236764, 623, 6011, 1083, 3714, 18553, 236779, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236812, 236810, 236764, 623, 9707, 236779, 6161, 236779, 5099, 1083, 236743, 236771, 236761, 236771, 236771, 236800, 236828, 236764, 623, 6725, 236779, 20845, 1083, 236743, 236770, 236778, 236828, 236810, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 58043, 1083, 623, 30558, 23179, 623, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236778, 236800, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236778, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236800, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236800, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236825, 236771, 236810, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236832, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 236743, 236771, 236761, 236819, 236819, 236828, 236832, 236764, 623, 11480, 1083, 236743, 236770, 236761, 236771, 236771, 236770, 236778, 236764, 623, 976, 1083, 236743, 236771, 236761, 236819, 236819, 236825, 236810, 236764, 623, 5977, 1083, 236743, 236771, 236761, 236819, 236819, 236819, 236800, 236764, 623, 20845, 1083, 623, 236770, 236812, 236778, 236810, 236771, 236771, 236771, 236771, 827, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 236743, 236771, 236761, 236819, 236819, 236819, 236800, 236764, 623, 11480, 1083, 236743, 236770, 236761, 236771, 236771, 236778, 236770, 236764, 623, 976, 1083, 236743, 236771, 236761, 236819, 236819, 236828, 236812, 236764, 623, 5977, 1083, 236743, 236770, 236761, 236771, 236771, 236771, 236810, 236764, 623, 20845, 1083, 623, 236770, 236810, 236810, 236800, 236771, 236771, 236771, 236771, 827, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236761, 236819, 104960, 623, 6011, 1083, 3714, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 28128, 236779, 9707, 1083, 236743, 236770, 236761, 236771, 236771, 236771, 236778, 236764, 623, 6725, 236779, 20845, 1083, 623, 236770, 236778, 236828, 236819, 236812, 236771, 236771, 236771, 236771, 236771, 827, 623, 4477, 26633, 1083, 623, 236771, 236761, 236771, 236771, 236800, 236810, 70887, 623, 596, 7382, 236779, 4477, 26633, 236779, 121774, 1083, 2416, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 20845, 1083, 236743, 236778, 236812, 236810, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236778, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236812, 236832, 236764, 623, 20845, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236825, 236778, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236812, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236812, 236819, 236764, 623, 20845, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236832, 236810, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236771, 236761, 236771, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 20845, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236819, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236825, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236810, 236812, 236764, 623, 20845, 1083, 236743, 236800, 236828, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236778, 236771, 236810, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236800, 104960, 623, 28263, 236779, 6011, 1083, 3714, 9707, 236779, 4177, 236779, 236819, 236771, 236753, 1083, 236743, 236771, 236761, 236778, 236764, 623, 18553, 236779, 32320, 236779, 20845, 1083, 236743, 236800, 236778, 236832, 236771, 236771, 236771, 236764, 623, 4477, 26633, 236779, 2662, 1083, 236743, 236771, 236761, 236770, 236810, 236764, 623, 22775, 14475, 236779, 45882, 1083, 236743, 236771, 236761, 236800, 236832, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13611, 3671, 529, 125997, 46840, 36513, 3418, 587, 2266, 532, 7214, 7393, 54389, 14175, 573, 1366, 236770, 236743, 236778, 236771, 236778, 236800, 236787, 108, 1018, 236770, 236761, 8231, 34401, 36520, 53121, 107, 236772, 5213, 236792, 2266, 8231, 176944, 568, 18125, 236772, 9585, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 138, 100725, 236772, 19642, 568, 236770, 236778, 236761, 236812, 236908, 71639, 779, 203492, 236772, 7172, 236777, 568, 236819, 236761, 236828, 236908, 71639, 779, 35183, 236772, 3118, 12622, 568, 236770, 236770, 236761, 236778, 236908, 71639, 236768, 107, 236772, 5213, 152799, 7393, 54389, 8231, 176944, 568, 18125, 236772, 9585, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 138, 19642, 236772, 3118, 12622, 236764, 74436, 236772, 3118, 18540, 236764, 217068, 236772, 3118, 12622, 236764, 35183, 236772, 3118, 18540, 108, 1018, 236778, 236761, 12713, 236772, 15376, 90329, 53121, 107, 236772, 74436, 236772, 19642, 6727, 10778, 618, 4913, 580, 1800, 14175, 107, 236772, 84989, 11894, 14491, 1407, 5058, 236772, 15396, 15936, 568, 3118, 18540, 236772, 7172, 236777, 7728, 217068, 236772, 3118, 12622, 236768, 107, 236772, 35183, 236772, 5140, 14491, 15128, 3188, 4071, 236772, 19099, 46840, 108, 1018, 236800, 236761, 236743, 236819, 236771, 236772, 13265, 19791, 13768, 53121, 108, 1018, 100725, 236772, 19642, 34401, 1018, 138, 107, 236772, 14584, 236787, 900, 236778, 236771, 236908, 3877, 568, 236771, 236761, 236771, 236825, 236778, 236800, 16130, 236743, 236771, 236761, 236771, 236825, 236812, 236810, 4398, 236768, 107, 236772, 6285, 26633, 236787, 14533, 568, 236771, 236761, 236771, 236771, 236800, 236828, 5325, 2179, 236768, 107, 236772, 26036, 236787, 609, 236770, 236778, 236761, 236828, 236810, 236792, 2558, 107, 236772, 27593, 236787, 4786, 151859, 4414, 607, 5683, 46840, 108, 1018, 3118, 18540, 236772, 7172, 236777, 34401, 1018, 138, 107, 236772, 14584, 236787, 84989, 6131, 236771, 236761, 236819, 236819, 236825, 236810, 23278, 236770, 236761, 236771, 236771, 236778, 236770, 2644, 236768, 107, 236772, 6285, 26633, 236787, 60217, 568, 236771, 236761, 236771, 236771, 236800, 236810, 11376, 107, 236772, 26036, 236787, 609, 236770, 236761, 236778, 236828, 236819, 236799, 2558, 107, 236772, 45891, 573, 4652, 236772, 236746, 3929, 13177, 108, 1018, 52762, 236772, 3118, 12622, 34401, 1018, 138, 107, 236772, 14584, 236787, 900, 236778, 236771, 236908, 3877, 568, 236771, 236761, 236812, 236810, 16130, 236743, 236771, 236761, 236810, 236812, 236768, 107, 236772, 30634, 14475, 26608, 236787, 900, 236800, 236832, 236908, 1024, 2846, 107, 236772, 6285, 26633, 236787, 90434, 568, 236771, 236761, 236770, 236810, 3546, 236768, 107, 236772, 106237, 5542, 3877, 5773, 108, 1018, 211199, 53121, 138, 107, 100725, 236772, 19642, 532, 35183, 236772, 3118, 12622, 36513, 15128, 1346, 9958, 4071, 236772, 19099, 3736, 607, 27661, 4652, 236772, 2060, 20183, 236761, 84989, 11894, 36513, 2729, 3718, 7623, 840, 5250, 573, 5279, 33862, 236761, 2301, 990, 4771, 30981, 4354, 618, 43866, 12800, 2351, 3867, 21280, 3418, 784, 36513, 236761, 1701, 3399, 23538, 6828, 236764, 1966, 122980, 236743, 236812, 236771, 236908, 531, 74436, 236772, 19642, 236764, 236743, 236800, 236771, 236908, 531, 35183, 236772, 3118, 12622, 236764, 532, 236743, 236800, 236771, 236908, 531, 10385, 11894, 36513, 573, 20433, 3877, 532, 4652, 3997, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22260, 125997, 6828, 7760, 531, 8729, 13726, 7623, 573, 1041, 3399, 23538, 2203, 236761, 3792, 236789, 236751, 1502, 684, 32187, 506, 1903, 46840, 36513, 580, 1800, 587, 2266, 532, 7214, 7393, 54389, 14175, 1024, 506, 3068, 7737, 236761, 5315, 236764, 1161, 47556, 29521, 612, 1209, 5900, 531, 8701, 506, 1903, 236743, 236810, 36513, 684, 5542, 580, 587, 2266, 699, 6027, 531, 5261, 236743, 236778, 236771, 236778, 236800, 236761, 4298, 236764, 4071, 236772, 30449, 1239, 607, 44959, 7393, 37280, 612, 1209, 5900, 573, 506, 1638, 2846, 236761, 1637, 993, 236789, 236751, 1027, 7444, 1463, 59725, 1534, 14175, 236764, 1161, 44959, 7393, 828, 45787, 184629, 531, 16807, 46840, 15067, 236761, 13472, 236764, 5510, 47556, 1064, 10777, 800, 1516, 531, 506, 1806, 1346, 9958, 36513, 3418, 1800, 14175, 531, 5608, 910, 236743, 236819, 236771, 236772, 1496, 3736, 19455, 236761, 2199, 7759, 531, 6253, 506, 990, 4771, 684, 22820, 236770, 236810, 2668, 768, 4068, 1262, 3831, 28322, 43866, 9935, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 184629, 1083, 78493, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 100725, 236772, 19642, 827, 623, 131770, 236779, 20845, 1083, 623, 236812, 236810, 236761, 236778, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236828, 236761, 236832, 236792, 23058, 827, 623, 35535, 1083, 623, 236770, 236778, 236761, 236812, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 3118, 18540, 236772, 7172, 236777, 827, 623, 131770, 236779, 20845, 1083, 623, 236800, 236828, 236761, 236819, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236810, 236761, 236800, 236792, 23058, 827, 623, 35535, 1083, 623, 236819, 236761, 236828, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 52762, 236772, 3118, 12622, 827, 623, 131770, 236779, 20845, 1083, 623, 236800, 236778, 236761, 236770, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236800, 236761, 236810, 236792, 23058, 827, 623, 35535, 1083, 623, 236770, 236770, 236761, 236778, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 28110, 236772, 100725, 827, 623, 131770, 236779, 20845, 1083, 623, 236778, 236832, 236761, 236812, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236770, 236771, 236761, 236819, 236792, 23058, 827, 623, 35535, 1083, 623, 236828, 236761, 236825, 171446, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 236772, 85927, 236772, 19642, 827, 623, 131770, 236779, 20845, 1083, 623, 236778, 236812, 236761, 236828, 236792, 23058, 827, 623, 22775, 14475, 1083, 623, 236819, 236761, 236778, 236792, 23058, 827, 623, 35535, 1083, 623, 236770, 236771, 236761, 236770, 236908, 25938, 1604, 623, 2289, 236779, 7414, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 623, 19099, 1083, 623, 236792, 2266, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 184629, 1083, 11058, 152799, 7393, 54389, 236779, 19642, 236779, 3118, 12622, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 100725, 236779, 3118, 18540, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 7172, 236777, 236779, 3118, 12622, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 52762, 236779, 3118, 18540, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 827, 623, 152799, 7393, 54389, 236779, 230635, 236779, 3118, 12622, 236779, 236778, 236771, 236778, 236800, 236935, 236770, 14255, 623, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 6725, 236779, 184629, 236779, 79082, 8562, 1083, 236743, 236812, 236778, 236764, 623, 7212, 236779, 72579, 1083, 623, 78353, 12376, 5542, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16754, 1083, 623, 100725, 236772, 19642, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 45787, 236779, 184629, 1083, 78493, 11138, 236779, 1201, 1083, 623, 152799, 7393, 54389, 74436, 236772, 19642, 30634, 14475, 34401, 827, 623, 22775, 14475, 1083, 623, 236770, 236778, 236828, 236810, 236812, 236800, 236771, 236761, 236810, 236771, 23058, 827, 623, 15080, 1083, 236743, 236770, 236764, 623, 9715, 236779, 2861, 1083, 236743, 236770, 236812, 236810, 236778, 1263, 3714, 11138, 236779, 1201, 1083, 623, 236792, 2266, 74436, 236772, 19642, 12713, 236772, 29415, 34401, 827, 623, 22775, 14475, 1083, 623, 236819, 236812, 236778, 236800, 236828, 236832, 236761, 236778, 236810, 23058, 827, 623, 15080, 1083, 236743, 236778, 236764, 623, 9715, 236779, 2861, 1083, 236743, 236770, 236770, 236778, 236828, 1263, 3714, 11138, 236779, 1201, 1083, 623, 131022, 74436, 236772, 19642, 71509, 133789, 827, 623, 22775, 14475, 1083, 623, 236832, 236825, 236812, 236778, 236771, 236819, 236761, 236832, 236810, 23058, 827, 623, 15080, 1083, 236743, 236800, 236764, 623, 9715, 236779, 2861, 1083, 236743, 236819, 236828, 236812, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 16754, 1083, 623, 100725, 236772, 19642, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 2289, 236779, 8572, 236779, 14356, 1083, 236743, 236819, 236771, 236764, 623, 1516, 236779, 11116, 1083, 236743, 236819, 236771, 236764, 623, 6011, 1083, 3714, 18553, 236779, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236812, 236810, 236764, 623, 9707, 236779, 6161, 236779, 5099, 1083, 236743, 236771, 236761, 236771, 236771, 236800, 236828, 236764, 623, 6725, 236779, 20845, 1083, 236743, 236770, 236778, 236828, 236810, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 58043, 1083, 623, 30558, 23179, 623, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236778, 236800, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236778, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236800, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236771, 236825, 236800, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236825, 236771, 236810, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236832, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 236743, 236771, 236761, 236819, 236819, 236828, 236832, 236764, 623, 11480, 1083, 236743, 236770, 236761, 236771, 236771, 236770, 236778, 236764, 623, 976, 1083, 236743, 236771, 236761, 236819, 236819, 236825, 236810, 236764, 623, 5977, 1083, 236743, 236771, 236761, 236819, 236819, 236819, 236800, 236764, 623, 20845, 1083, 623, 236770, 236812, 236778, 236810, 236771, 236771, 236771, 236771, 827, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236778, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 236743, 236771, 236761, 236819, 236819, 236819, 236800, 236764, 623, 11480, 1083, 236743, 236770, 236761, 236771, 236771, 236778, 236770, 236764, 623, 976, 1083, 236743, 236771, 236761, 236819, 236819, 236828, 236812, 236764, 623, 5977, 1083, 236743, 236770, 236761, 236771, 236771, 236771, 236810, 236764, 623, 20845, 1083, 623, 236770, 236810, 236810, 236800, 236771, 236771, 236771, 236771, 827, 623, 22775, 14475, 236779, 8318, 1083, 236743, 236828, 236761, 236819, 104960, 623, 6011, 1083, 3714, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 28128, 236779, 9707, 1083, 236743, 236770, 236761, 236771, 236771, 236771, 236778, 236764, 623, 6725, 236779, 20845, 1083, 623, 236770, 236778, 236828, 236819, 236812, 236771, 236771, 236771, 236771, 236771, 827, 623, 4477, 26633, 1083, 623, 236771, 236761, 236771, 236771, 236800, 236810, 70887, 623, 596, 7382, 236779, 4477, 26633, 236779, 121774, 1083, 2416, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 20845, 1083, 236743, 236778, 236812, 236810, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236778, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236812, 236832, 236764, 623, 20845, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236825, 236778, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236812, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236812, 236819, 236764, 623, 20845, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236832, 236810, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236771, 236761, 236771, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 20845, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236770, 236819, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236825, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 9707, 1083, 236743, 236771, 236761, 236810, 236812, 236764, 623, 20845, 1083, 236743, 236800, 236828, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 1083, 236743, 236778, 236771, 236810, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 236743, 236771, 236761, 236771, 236800, 104960, 623, 28263, 236779, 6011, 1083, 3714, 9707, 236779, 4177, 236779, 236819, 236771, 236753, 1083, 236743, 236771, 236761, 236778, 236764, 623, 18553, 236779, 32320, 236779, 20845, 1083, 236743, 236800, 236778, 236832, 236771, 236771, 236771, 236764, 623, 4477, 26633, 236779, 2662, 1083, 236743, 236771, 236761, 236770, 236810, 236764, 623, 22775, 14475, 236779, 45882, 1083, 236743, 236771, 236761, 236800, 236832, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13611, 3671, 529, 125997, 46840, 36513, 3418, 587, 2266, 532, 7214, 7393, 54389, 14175, 573, 1366, 236770, 236743, 236778, 236771, 236778, 236800, 236787, 108, 1018, 236770, 236761, 8231, 34401, 36520, 53121, 107, 236772, 5213, 236792, 2266, 8231, 176944, 568, 18125, 236772, 9585, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 138, 100725, 236772, 19642, 568, 236770, 236778, 236761, 236812, 236908, 71639, 779, 203492, 236772, 7172, 236777, 568, 236819, 236761, 236828, 236908, 71639, 779, 35183, 236772, 3118, 12622, 568, 236770, 236770, 236761, 236778, 236908, 71639, 236768, 107, 236772, 5213, 152799, 7393, 54389, 8231, 176944, 568, 18125, 236772, 9585, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 138, 19642, 236772, 3118, 12622, 236764, 74436, 236772, 3118, 18540, 236764, 217068, 236772, 3118, 12622, 236764, 35183, 236772, 3118, 18540, 108, 1018, 236778, 236761, 12713, 236772, 15376, 90329, 53121, 107, 236772, 74436, 236772, 19642, 6727, 10778, 618, 4913, 580, 1800, 14175, 107, 236772, 84989, 11894, 14491, 1407, 5058, 236772, 15396, 15936, 568, 3118, 18540, 236772, 7172, 236777, 7728, 217068, 236772, 3118, 12622, 236768, 107, 236772, 35183, 236772, 5140, 14491, 15128, 3188, 4071, 236772, 19099, 46840, 108, 1018, 236800, 236761, 236743, 236819, 236771, 236772, 13265, 19791, 13768, 53121, 108, 1018, 100725, 236772, 19642, 34401, 1018, 138, 107, 236772, 14584, 236787, 900, 236778, 236771, 236908, 3877, 568, 236771, 236761, 236771, 236825, 236778, 236800, 16130, 236743, 236771, 236761, 236771, 236825, 236812, 236810, 4398, 236768, 107, 236772, 6285, 26633, 236787, 14533, 568, 236771, 236761, 236771, 236771, 236800, 236828, 5325, 2179, 236768, 107, 236772, 26036, 236787, 609, 236770, 236778, 236761, 236828, 236810, 236792, 2558, 107, 236772, 27593, 236787, 4786, 151859, 4414, 607, 5683, 46840, 108, 1018, 3118, 18540, 236772, 7172, 236777, 34401, 1018, 138, 107, 236772, 14584, 236787, 84989, 6131, 236771, 236761, 236819, 236819, 236825, 236810, 23278, 236770, 236761, 236771, 236771, 236778, 236770, 2644, 236768, 107, 236772, 6285, 26633, 236787, 60217, 568, 236771, 236761, 236771, 236771, 236800, 236810, 11376, 107, 236772, 26036, 236787, 609, 236770, 236761, 236778, 236828, 236819, 236799, 2558, 107, 236772, 45891, 573, 4652, 236772, 236746, 3929, 13177, 108, 1018, 52762, 236772, 3118, 12622, 34401, 1018, 138, 107, 236772, 14584, 236787, 900, 236778, 236771, 236908, 3877, 568, 236771, 236761, 236812, 236810, 16130, 236743, 236771, 236761, 236810, 236812, 236768, 107, 236772, 30634, 14475, 26608, 236787, 900, 236800, 236832, 236908, 1024, 2846, 107, 236772, 6285, 26633, 236787, 90434, 568, 236771, 236761, 236770, 236810, 3546, 236768, 107, 236772, 106237, 5542, 3877, 5773, 108, 1018, 211199, 53121, 138, 107, 100725, 236772, 19642, 532, 35183, 236772, 3118, 12622, 36513, 15128, 1346, 9958, 4071, 236772, 19099, 3736, 607, 27661, 4652, 236772, 2060, 20183, 236761, 84989, 11894, 36513, 2729, 3718, 7623, 840, 5250, 573, 5279, 33862, 236761, 2301, 990, 4771, 30981, 4354, 618, 43866, 12800, 2351, 3867, 21280, 3418, 784, 36513, 236761, 1701, 3399, 23538, 6828, 236764, 1966, 122980, 236743, 236812, 236771, 236908, 531, 74436, 236772, 19642, 236764, 236743, 236800, 236771, 236908, 531, 35183, 236772, 3118, 12622, 236764, 532, 236743, 236800, 236771, 236908, 531, 10385, 11894, 36513, 573, 20433, 3877, 532, 4652, 3997, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 6422, 573, 12501, 7627, 532, 506, 1932, 2142, 573, 214354, 236786, 38556, 573, 506, 1774, 236743, 236800, 236771, 4310, 236881, 106, 107, 105, 4368, 107, 818, 1873, 6436, 3847, 776, 711, 1894, 67931, 6422, 1262, 573, 18300, 1133, 12501, 7627, 653, 1932, 2142, 573, 36963, 14491, 1133, 214354, 236786, 38556, 236761, 669, 2487, 6436, 659, 5809, 531, 11858, 15130, 236786, 42721, 6224, 568, 15218, 2165, 2289, 236779, 22894, 18833, 532, 36112, 2802, 568, 15218, 2165, 6796, 236779, 12549, 59395, 40436, 740, 33205, 1759, 236772, 2289, 653, 36963, 236772, 10619, 1262, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 9302, 12668, 653, 2426, 573, 4767, 6436, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 6422, 573, 12501, 7627, 532, 506, 1932, 2142, 573, 214354, 236786, 38556, 573, 506, 1774, 236743, 236800, 236771, 4310, 236881, 106, 107, 105, 4368, 107, 818, 1873, 6436, 3847, 776, 711, 1894, 67931, 6422, 1262, 573, 18300, 1133, 12501, 7627, 653, 1932, 2142, 573, 36963, 14491, 1133, 214354, 236786, 38556, 236761, 669, 2487, 6436, 659, 5809, 531, 11858, 15130, 236786, 42721, 6224, 568, 15218, 2165, 2289, 236779, 22894, 18833, 532, 36112, 2802, 568, 15218, 2165, 6796, 236779, 12549, 59395, 40436, 740, 33205, 1759, 236772, 2289, 653, 36963, 236772, 10619, 1262, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 9302, 12668, 653, 2426, 573, 4767, 6436, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 564, 236789, 236757, 4875, 531, 5811, 855, 768, 506, 756, 147716, 14904, 7235, 12872, 161960, 236789, 563, 5367, 506, 4481, 2157, 573, 496, 2203, 564, 236789, 236757, 47154, 236761, 564, 5630, 9333, 9726, 10595, 1003, 1061, 39601, 528, 81934, 93952, 236761, 28344, 611, 8091, 872, 1144, 5103, 659, 6420, 1003, 625, 7462, 808, 11640, 4407, 236764, 1299, 13586, 607, 496, 149195, 236829, 623, 12932, 236764, 532, 768, 611, 1202, 1027, 72320, 1003, 506, 1698, 5853, 653, 4658, 1663, 236764, 1164, 1531, 786, 1281, 236761, 564, 2473, 236858, 560, 2378, 600, 912, 855, 684, 10054, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 147716, 14904, 7235, 12872, 161960, 753, 4819, 236772, 52277, 54102, 161960, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 70686, 236779, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236825, 236810, 236771, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236800, 236771, 236771, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236770, 236810, 236771, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236832, 236810, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236778, 236810, 5237, 623, 25016, 236779, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 60881, 28868, 28789, 19791, 827, 623, 3063, 1083, 623, 121893, 672, 528, 1041, 10565, 19933, 236789, 236751, 11595, 532, 625, 236789, 236751, 1010, 753, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 4782, 607, 951, 4342, 236761, 150736, 506, 5387, 528, 2480, 1082, 1027, 31793, 564, 236789, 560, 1456, 1680, 221476, 3714, 25612, 236779, 547, 1083, 623, 236794, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 13126, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 15760, 39779, 528, 62477, 28868, 4210, 236743, 236825, 89335, 827, 623, 3063, 1083, 623, 87240, 528, 496, 21154, 528, 16962, 22080, 236761, 58262, 8812, 1944, 33132, 1308, 1171, 7208, 236761, 21284, 711, 5840, 573, 4106, 3426, 753, 236770, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 2180, 4767, 6733, 221476, 3714, 25612, 236779, 547, 1083, 623, 236794, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 236810, 236810, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 11947, 12155, 573, 14584, 827, 623, 3063, 1083, 623, 236773, 3223, 586, 919, 11162, 1082, 6079, 25483, 236764, 840, 506, 630, 236772, 2394, 810, 13866, 121647, 506, 2157, 236761, 2301, 4342, 528, 236743, 236800, 91399, 1679, 531, 753, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 1781, 104960, 623, 5930, 236779, 7777, 1083, 623, 49789, 6535, 236772, 5447, 106304, 25483, 31793, 607, 16595, 11775, 8047, 568, 236794, 236772, 236832, 236761, 236810, 810, 13866, 769, 56900, 573, 13610, 4022, 18567, 607, 21910, 20825, 5082, 236761, 137276, 83243, 565, 236810, 236810, 236810, 8443, 573, 2708, 236772, 27495, 19142, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1144, 5103, 659, 6420, 1003, 43804, 14904, 7235, 12872, 161960, 568, 7163, 5853, 236787, 603, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 1473, 108, 1018, 3503, 9352, 70731, 53121, 107, 236772, 5213, 66020, 28789, 19791, 53121, 138, 107, 138, 236772, 808, 48084, 149681, 34489, 236743, 236810, 236772, 7991, 10595, 30450, 1061, 3736, 528, 11139, 618, 2708, 618, 753, 236778, 236771, 237366, 236811, 236764, 607, 886, 2430, 11687, 625, 623, 143521, 236775, 573, 10565, 19933, 31793, 236761, 138, 107, 138, 236772, 808, 105367, 51474, 149681, 562, 236743, 236778, 236772, 7991, 3540, 699, 16962, 22080, 8687, 51364, 1308, 236743, 236825, 3794, 528, 1159, 726, 236770, 236771, 237366, 236811, 3439, 236764, 22169, 3435, 16305, 528, 13610, 7445, 236761, 138, 107, 138, 236772, 808, 3135, 7918, 149681, 562, 236743, 236812, 236772, 7991, 3540, 5022, 506, 3715, 82425, 2157, 563, 33089, 684, 1061, 630, 236772, 236832, 236761, 236810, 810, 13866, 14470, 568, 144834, 3972, 4077, 75069, 779, 837, 29245, 2778, 9286, 236761, 138, 108, 1018, 7163, 67831, 53121, 138, 107, 236772, 65287, 236772, 5447, 106304, 25483, 607, 21910, 20825, 5082, 138, 107, 236772, 137276, 83243, 565, 236810, 236810, 236810, 8443, 573, 2708, 236772, 27495, 19142, 138, 107, 236772, 129649, 524, 657, 609, 236812, 236819, 236761, 236819, 236819, 568, 174991, 3715, 1082, 6079, 25483, 24277, 236768, 138, 108, 1018, 24355, 53121, 138, 107, 8409, 1346, 5089, 2072, 3188, 7445, 236772, 19323, 3736, 532, 2778, 15749, 236764, 496, 1944, 17503, 529, 10595, 8357, 39601, 10928, 528, 13610, 1159, 726, 236770, 236771, 237366, 236811, 18567, 236761, 669, 1698, 236858, 236751, 1494, 630, 236772, 2394, 532, 21910, 20825, 1386, 625, 496, 13671, 5313, 573, 31793, 5699, 236764, 840, 611, 1149, 1461, 531, 1966, 4767, 6733, 528, 9576, 607, 35269, 13610, 7445, 236761, 138, 108, 38786, 611, 1133, 786, 531, 10769, 672, 531, 9302, 31793, 3211, 573, 2157, 236786, 32677, 3671, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 564, 236789, 236757, 4875, 531, 5811, 855, 768, 506, 756, 147716, 14904, 7235, 12872, 161960, 236789, 563, 5367, 506, 4481, 2157, 573, 496, 2203, 564, 236789, 236757, 47154, 236761, 564, 5630, 9333, 9726, 10595, 1003, 1061, 39601, 528, 81934, 93952, 236761, 28344, 611, 8091, 872, 1144, 5103, 659, 6420, 1003, 625, 7462, 808, 11640, 4407, 236764, 1299, 13586, 607, 496, 149195, 236829, 623, 12932, 236764, 532, 768, 611, 1202, 1027, 72320, 1003, 506, 1698, 5853, 653, 4658, 1663, 236764, 1164, 1531, 786, 1281, 236761, 564, 2473, 236858, 560, 2378, 600, 912, 855, 684, 10054, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 147716, 14904, 7235, 12872, 161960, 753, 4819, 236772, 52277, 54102, 161960, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 70686, 236779, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236825, 236810, 236771, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236800, 236771, 236771, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236770, 236810, 236771, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236832, 236810, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236778, 236810, 5237, 623, 25016, 236779, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 60881, 28868, 28789, 19791, 827, 623, 3063, 1083, 623, 121893, 672, 528, 1041, 10565, 19933, 236789, 236751, 11595, 532, 625, 236789, 236751, 1010, 753, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 4782, 607, 951, 4342, 236761, 150736, 506, 5387, 528, 2480, 1082, 1027, 31793, 564, 236789, 560, 1456, 1680, 221476, 3714, 25612, 236779, 547, 1083, 623, 236794, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 13126, 1083, 236743, 236778, 236764, 623, 3250, 1083, 623, 15760, 39779, 528, 62477, 28868, 4210, 236743, 236825, 89335, 827, 623, 3063, 1083, 623, 87240, 528, 496, 21154, 528, 16962, 22080, 236761, 58262, 8812, 1944, 33132, 1308, 1171, 7208, 236761, 21284, 711, 5840, 573, 4106, 3426, 753, 236770, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 2180, 4767, 6733, 221476, 3714, 25612, 236779, 547, 1083, 623, 236794, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 236810, 236810, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 11947, 12155, 573, 14584, 827, 623, 3063, 1083, 623, 236773, 3223, 586, 919, 11162, 1082, 6079, 25483, 236764, 840, 506, 630, 236772, 2394, 810, 13866, 121647, 506, 2157, 236761, 2301, 4342, 528, 236743, 236800, 91399, 1679, 531, 753, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 1781, 104960, 623, 5930, 236779, 7777, 1083, 623, 49789, 6535, 236772, 5447, 106304, 25483, 31793, 607, 16595, 11775, 8047, 568, 236794, 236772, 236832, 236761, 236810, 810, 13866, 769, 56900, 573, 13610, 4022, 18567, 607, 21910, 20825, 5082, 236761, 137276, 83243, 565, 236810, 236810, 236810, 8443, 573, 2708, 236772, 27495, 19142, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1144, 5103, 659, 6420, 1003, 43804, 14904, 7235, 12872, 161960, 568, 7163, 5853, 236787, 603, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 1473, 108, 1018, 3503, 9352, 70731, 53121, 107, 236772, 5213, 66020, 28789, 19791, 53121, 138, 107, 138, 236772, 808, 48084, 149681, 34489, 236743, 236810, 236772, 7991, 10595, 30450, 1061, 3736, 528, 11139, 618, 2708, 618, 753, 236778, 236771, 237366, 236811, 236764, 607, 886, 2430, 11687, 625, 623, 143521, 236775, 573, 10565, 19933, 31793, 236761, 138, 107, 138, 236772, 808, 105367, 51474, 149681, 562, 236743, 236778, 236772, 7991, 3540, 699, 16962, 22080, 8687, 51364, 1308, 236743, 236825, 3794, 528, 1159, 726, 236770, 236771, 237366, 236811, 3439, 236764, 22169, 3435, 16305, 528, 13610, 7445, 236761, 138, 107, 138, 236772, 808, 3135, 7918, 149681, 562, 236743, 236812, 236772, 7991, 3540, 5022, 506, 3715, 82425, 2157, 563, 33089, 684, 1061, 630, 236772, 236832, 236761, 236810, 810, 13866, 14470, 568, 144834, 3972, 4077, 75069, 779, 837, 29245, 2778, 9286, 236761, 138, 108, 1018, 7163, 67831, 53121, 138, 107, 236772, 65287, 236772, 5447, 106304, 25483, 607, 21910, 20825, 5082, 138, 107, 236772, 137276, 83243, 565, 236810, 236810, 236810, 8443, 573, 2708, 236772, 27495, 19142, 138, 107, 236772, 129649, 524, 657, 609, 236812, 236819, 236761, 236819, 236819, 568, 174991, 3715, 1082, 6079, 25483, 24277, 236768, 138, 108, 1018, 24355, 53121, 138, 107, 8409, 1346, 5089, 2072, 3188, 7445, 236772, 19323, 3736, 532, 2778, 15749, 236764, 496, 1944, 17503, 529, 10595, 8357, 39601, 10928, 528, 13610, 1159, 726, 236770, 236771, 237366, 236811, 18567, 236761, 669, 1698, 236858, 236751, 1494, 630, 236772, 2394, 532, 21910, 20825, 1386, 625, 496, 13671, 5313, 573, 31793, 5699, 236764, 840, 611, 1149, 1461, 531, 1966, 4767, 6733, 528, 9576, 607, 35269, 13610, 7445, 236761, 138, 108, 38786, 611, 1133, 786, 531, 10769, 672, 531, 9302, 31793, 3211, 573, 2157, 236786, 32677, 3671, 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, 1202, 822, 1601, 8159, 1070, 1535, 15663, 580, 5177, 6436, 236761, 1599, 1460, 236764, 564, 1461, 531, 1502, 10299, 3184, 18361, 1217, 531, 7562, 9371, 236764, 1133, 564, 1456, 531, 776, 2587, 236772, 2289, 236761, 3551, 53276, 6950, 993, 236789, 236751, 17909, 607, 36498, 580, 7305, 1133, 3489, 3003, 14175, 653, 2948, 21354, 5368, 236764, 840, 564, 236789, 236757, 711, 5194, 236772, 187711, 3487, 531, 1586, 1091, 236761, 3574, 611, 1751, 611, 1451, 2426, 600, 30052, 16350, 1977, 573, 786, 236881, 11696, 573, 1027, 53838, 5177, 7009, 6436, 653, 3489, 10299, 14175, 600, 236789, 236753, 1601, 786, 1386, 52379, 653, 3371, 607, 63807, 236761, 164265, 5906, 607, 3606, 33066, 2338, 564, 236789, 236757, 2036, 4735, 1217, 531, 1161, 784, 672, 4532, 14896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 5548, 79786, 18711, 24435, 25396, 827, 623, 9707, 1083, 6610, 236770, 236819, 236832, 827, 623, 70343, 1083, 623, 236825, 236810, 236908, 1135, 827, 623, 2451, 1083, 623, 2574, 1411, 15080, 16350, 236761, 854, 236786, 654, 79786, 236772, 37337, 827, 623, 16518, 1083, 11058, 27216, 17929, 827, 623, 10485, 22293, 827, 623, 11898, 36112, 152254, 3714, 3250, 1083, 623, 236780, 25837, 28765, 11994, 84226, 35736, 827, 623, 9707, 1083, 6610, 236778, 236812, 236819, 827, 623, 70343, 1083, 623, 236810, 236771, 236908, 1135, 827, 623, 2451, 1083, 623, 2574, 1411, 15080, 16350, 236761, 854, 236786, 15035, 236745, 28765, 236772, 4043, 20786, 827, 623, 16518, 1083, 11058, 11748, 13564, 827, 623, 10485, 23693, 827, 623, 23994, 21354, 152254, 3714, 3250, 1083, 623, 119760, 601, 2343, 236772, 495, 236772, 4906, 18508, 35736, 827, 623, 9707, 1083, 6610, 236800, 236819, 236819, 827, 623, 70343, 1083, 623, 236812, 236771, 236908, 1135, 827, 623, 2451, 1083, 623, 2574, 1411, 15080, 16350, 236761, 854, 236786, 61909, 601, 236772, 18146, 827, 623, 16518, 1083, 11058, 11919, 7009, 827, 623, 27286, 2317, 31523, 827, 623, 46600, 69200, 6436, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 28881, 236779, 103411, 1083, 3714, 10618, 1083, 623, 31335, 71414, 827, 623, 5930, 236779, 2084, 1083, 623, 4043, 236779, 20786, 827, 623, 10479, 236779, 2003, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1070, 53838, 5177, 6436, 580, 30052, 16350, 600, 1451, 1601, 607, 822, 1295, 11790, 10299, 23937, 236787, 108, 236770, 236761, 5213, 5548, 79786, 18711, 24435, 25396, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236770, 236819, 236832, 568, 236825, 236810, 236908, 1135, 236768, 138, 107, 139, 236772, 5213, 27144, 53121, 24435, 17929, 236764, 2948, 22293, 236764, 5117, 36112, 138, 107, 139, 236772, 5213, 6759, 53121, 870, 5548, 79786, 37936, 5457, 2574, 1411, 15080, 16350, 236761, 854, 236786, 654, 79786, 236772, 37337, 236768, 138, 107, 139, 236772, 808, 54133, 573, 7107, 532, 35447, 822, 1295, 11790, 52379, 9603, 108, 236778, 236761, 5213, 236780, 25837, 28765, 11994, 84226, 35736, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236812, 236819, 568, 236810, 236771, 236908, 1135, 236768, 138, 107, 139, 236772, 5213, 27144, 53121, 23792, 13564, 236764, 2948, 23693, 236764, 9855, 21354, 138, 107, 139, 236772, 5213, 6759, 53121, 870, 236780, 25837, 28765, 6308, 17151, 5457, 2574, 1411, 15080, 16350, 236761, 854, 236786, 15035, 236745, 28765, 236772, 4043, 20786, 236768, 138, 107, 139, 236772, 808, 20418, 573, 21354, 17945, 10103, 607, 496, 2430, 236772, 18865, 7937, 9603, 108, 236800, 236761, 5213, 119760, 601, 2343, 236772, 495, 236772, 4906, 18508, 35736, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236800, 236819, 236819, 568, 236812, 236771, 236908, 1135, 236768, 138, 107, 139, 236772, 5213, 27144, 53121, 19955, 7009, 236764, 5886, 2317, 31523, 236764, 37361, 6436, 138, 107, 139, 236772, 5213, 6759, 53121, 870, 119760, 601, 10624, 5457, 2574, 1411, 15080, 16350, 236761, 854, 236786, 61909, 601, 236772, 18146, 236768, 138, 107, 139, 236772, 808, 116153, 573, 18024, 607, 63807, 532, 20329, 822, 12420, 9603, 108, 3810, 659, 5213, 236778, 236832, 2558, 2536, 1018, 16590, 822, 13138, 236761, 3143, 1806, 3835, 659, 19372, 684, 3385, 568, 117835, 531, 7310, 236768, 532, 3204, 6436, 573, 3003, 11381, 236764, 2948, 21354, 236764, 532, 7009, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 3927, 568, 236744, 236761, 236759, 1126, 5957, 684, 623, 19751, 7937, 236775, 653, 3530, 13965, 769, 103453, 106, 107, 105, 2364, 107, 12879, 573, 8159, 1724, 3835, 236888, 3792, 786, 1751, 1390, 564, 5630, 1041, 60898, 6807, 786, 2613, 3361, 3622, 236761, 669, 2474, 79786, 886, 12054, 6121, 573, 35447, 17205, 236764, 840, 564, 236789, 236757, 22566, 1003, 58098, 625, 855, 580, 1041, 1852, 236761, 28344, 611, 2426, 768, 1027, 529, 1239, 6436, 735, 623, 206829, 236772, 18865, 236775, 52379, 653, 5602, 1894, 600, 23241, 611, 1343, 10884, 236881, 15704, 5957, 506, 30052, 16350, 2536, 1570, 607, 2613, 1133, 623, 41875, 236772, 1071, 236772, 15143, 236775, 653, 623, 22239, 10884, 26309, 236775, 528, 506, 6492, 236881, 564, 236789, 236753, 17554, 531, 3717, 2613, 532, 1299, 974, 17539, 47264, 657, 16893, 564, 1537, 236789, 236745, 3050, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 5548, 79786, 37827, 70831, 827, 623, 9707, 1083, 6610, 236812, 236832, 827, 623, 7777, 1083, 623, 5471, 236772, 2003, 236772, 9340, 2948, 26309, 573, 7107, 12420, 236764, 5132, 3892, 1894, 573, 1171, 236743, 236800, 236771, 2668, 827, 623, 16518, 1083, 11058, 27426, 1250, 236772, 18865, 9711, 827, 623, 102711, 52379, 827, 623, 11919, 1894, 152254, 3714, 1201, 1083, 623, 236855, 1196, 15922, 40440, 13039, 827, 623, 9707, 1083, 6610, 236819, 236819, 827, 623, 7777, 1083, 623, 48930, 774, 10884, 16326, 607, 8300, 236772, 66414, 146342, 236751, 573, 3003, 3904, 11381, 827, 623, 16518, 1083, 11058, 44465, 236772, 624, 236772, 8658, 23693, 827, 623, 236778, 236812, 236786, 236832, 11184, 1894, 827, 623, 42736, 60218, 152254, 3714, 1201, 1083, 623, 51836, 1081, 25735, 6302, 827, 623, 9707, 1083, 6610, 236800, 236810, 827, 623, 7777, 1083, 623, 3695, 236772, 25089, 3003, 10318, 607, 24554, 10884, 52379, 573, 1546, 4926, 827, 623, 16518, 1083, 11058, 20558, 705, 89410, 827, 623, 166997, 1894, 2434, 827, 623, 46640, 19985, 152254, 3714, 1201, 1083, 623, 25998, 722, 11032, 827, 623, 9707, 1083, 6610, 236810, 236819, 827, 623, 7777, 1083, 623, 20216, 10884, 8214, 600, 23241, 611, 1343, 7107, 15419, 7088, 532, 12420, 827, 623, 16518, 1083, 11058, 102711, 10884, 4469, 827, 623, 9704, 1894, 5012, 827, 623, 42736, 2630, 52299, 152254, 3714, 1201, 1083, 623, 5548, 79786, 24435, 40440, 15806, 827, 623, 9707, 1083, 6610, 236778, 236819, 827, 623, 7777, 1083, 623, 27426, 1250, 236772, 41889, 98889, 607, 48246, 10884, 26309, 532, 4322, 236772, 58205, 1894, 827, 623, 16518, 1083, 11058, 10343, 742, 16553, 26309, 827, 623, 11748, 236772, 58205, 10884, 14845, 827, 623, 29335, 8221, 2299, 99471, 1604, 623, 28881, 236779, 103411, 1083, 3714, 10618, 1083, 623, 31335, 71414, 827, 623, 3278, 1083, 623, 41875, 236772, 1071, 236772, 15143, 52766, 236772, 18865, 10884, 26309, 827, 623, 10479, 236779, 2003, 1083, 623, 9707, 236779, 12456, 827, 623, 5930, 236779, 2084, 1083, 623, 4043, 236779, 20786, 23179, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 14210, 1083, 623, 8534, 236743, 236810, 529, 236743, 236770, 236771, 15633, 4852, 3505, 236761, 2343, 2536, 3204, 52766, 1894, 4065, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 52766, 236772, 18865, 6436, 699, 30052, 16350, 607, 5284, 236772, 495, 1894, 4065, 531, 1601, 611, 974, 3931, 2180, 39850, 236787, 108, 236770, 236761, 5213, 5548, 79786, 37827, 70831, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236812, 236832, 138, 107, 139, 236772, 5213, 16400, 53121, 14938, 236772, 2003, 236772, 9340, 2948, 26309, 236764, 3892, 1894, 573, 236743, 236800, 236771, 2668, 236764, 4553, 1894, 138, 107, 139, 236772, 5213, 27144, 53121, 160433, 236772, 18865, 9711, 236764, 21931, 52379, 138, 108, 236778, 236761, 5213, 51836, 1081, 25735, 6302, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236800, 236810, 138, 107, 139, 236772, 5213, 16400, 53121, 3946, 236772, 25089, 3003, 23693, 236764, 11554, 1894, 2434, 236764, 3399, 19985, 138, 107, 139, 236772, 5213, 27144, 53121, 78073, 89410, 236764, 24554, 10884, 52379, 138, 108, 236800, 236761, 5213, 5548, 79786, 24435, 40440, 15806, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236819, 568, 3374, 17075, 15520, 138, 107, 139, 236772, 5213, 16400, 53121, 235945, 16553, 26309, 236764, 4322, 236772, 58205, 10884, 14845, 236764, 2147, 8221, 2299, 138, 107, 139, 236772, 5213, 54133, 573, 53121, 24246, 38600, 1015, 1461, 4916, 236772, 498, 1601, 138, 108, 236812, 236761, 5213, 25998, 722, 11032, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236810, 236819, 138, 107, 139, 236772, 5213, 16400, 53121, 59494, 10884, 4469, 236764, 5154, 1894, 236764, 2630, 52299, 138, 107, 139, 236772, 5213, 61192, 53121, 223464, 611, 1343, 7107, 15419, 7088, 2918, 236772, 2003, 236772, 9340, 138, 108, 236810, 236761, 5213, 236855, 1196, 15922, 40440, 13039, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236819, 236819, 138, 107, 139, 236772, 5213, 16400, 53121, 34353, 236772, 66414, 146342, 236751, 236764, 236743, 236778, 236812, 236786, 236832, 11184, 1894, 236764, 10884, 60218, 138, 107, 139, 236772, 5213, 17043, 573, 53121, 94770, 10884, 607, 11893, 4514, 138, 108, 1018, 9640, 3835, 1765, 53121, 236743, 236770, 236832, 568, 236810, 3505, 1590, 236764, 19372, 684, 3385, 769, 2343, 3204, 52766, 1894, 1133, 52379, 236764, 3892, 1601, 236764, 653, 10884, 210943, 236761, 669, 609, 236778, 236819, 532, 609, 236800, 236810, 3835, 2473, 577, 7436, 573, 822, 3548, 2338, 901, 56856, 28291, 532, 4916, 236772, 498, 14984, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 236764, 653, 1374, 564, 59638, 506, 3927, 3342, 236881, 103453, 106, 107, 105, 2364, 107, 12879, 573, 91240, 625, 1679, 236888, 669, 609, 236778, 236819, 532, 609, 236800, 236810, 3835, 5057, 23284, 236761, 28344, 611, 2426, 768, 3477, 529, 1724, 5132, 5213, 5275, 1894, 1018, 653, 5213, 7656, 236772, 58205, 10884, 14845, 1018, 236881, 564, 236858, 236753, 4319, 711, 16438, 607, 203873, 768, 564, 974, 17539, 236761, 6542, 236764, 1677, 506, 609, 236778, 236819, 886, 607, 506, 16553, 26309, 735, 5396, 2918, 236772, 2003, 236772, 9340, 7829, 236764, 653, 563, 625, 1164, 1816, 236881, 3551, 6114, 10050, 236858, 236745, 1144, 901, 1456, 531, 577, 236764, 532, 564, 236858, 236753, 17554, 531, 173184, 657, 16383, 4171, 784, 1719, 236761, 103453, 106, 107, 105, 4368, 107, 818, 5213, 236795, 236778, 236819, 2474, 79786, 24435, 40440, 15806, 1018, 5132, 5213, 7656, 236772, 58205, 10884, 14845, 1018, 568, 15218, 32520, 653, 3361, 236768, 532, 5213, 161139, 16553, 26309, 84750, 5978, 506, 5904, 6492, 4038, 236858, 236745, 25010, 4928, 7829, 528, 506, 144395, 236764, 506, 20773, 529, 623, 7656, 236772, 58205, 236775, 12205, 7426, 14984, 563, 124406, 236761, 669, 5213, 236795, 236800, 236810, 27384, 1081, 25735, 6302, 1018, 1186, 15852, 496, 623, 205358, 1894, 2434, 236775, 568, 19609, 4553, 236786, 12952, 236768, 532, 951, 5154, 236786, 7656, 236772, 58205, 3835, 236761, 138, 108, 2542, 822, 3548, 236764, 506, 5213, 236795, 236778, 236819, 5086, 1018, 5072, 7436, 236787, 138, 107, 236772, 5213, 11748, 236772, 58205, 14845, 1018, 573, 1759, 236772, 2289, 7426, 1601, 236761, 138, 107, 236772, 5213, 10343, 742, 26309, 1018, 568, 19609, 2918, 236772, 2003, 236772, 9340, 236764, 3635, 4876, 1093, 4911, 580, 910, 1702, 769, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 768, 506, 144395, 25010, 4928, 4876, 568, 584, 2653, 20625, 138, 107, 236778, 236761, 11696, 573, 1032, 6436, 607, 5154, 1894, 236881, 138, 107, 236800, 236761, 101685, 607, 4889, 573, 506, 609, 236778, 236819, 5689, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 822, 1601, 8159, 1070, 1535, 15663, 580, 5177, 6436, 236761, 1599, 1460, 236764, 564, 1461, 531, 1502, 10299, 3184, 18361, 1217, 531, 7562, 9371, 236764, 1133, 564, 1456, 531, 776, 2587, 236772, 2289, 236761, 3551, 53276, 6950, 993, 236789, 236751, 17909, 607, 36498, 580, 7305, 1133, 3489, 3003, 14175, 653, 2948, 21354, 5368, 236764, 840, 564, 236789, 236757, 711, 5194, 236772, 187711, 3487, 531, 1586, 1091, 236761, 3574, 611, 1751, 611, 1451, 2426, 600, 30052, 16350, 1977, 573, 786, 236881, 11696, 573, 1027, 53838, 5177, 7009, 6436, 653, 3489, 10299, 14175, 600, 236789, 236753, 1601, 786, 1386, 52379, 653, 3371, 607, 63807, 236761, 164265, 5906, 607, 3606, 33066, 2338, 564, 236789, 236757, 2036, 4735, 1217, 531, 1161, 784, 672, 4532, 14896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 5548, 79786, 18711, 24435, 25396, 827, 623, 9707, 1083, 6610, 236770, 236819, 236832, 827, 623, 70343, 1083, 623, 236825, 236810, 236908, 1135, 827, 623, 2451, 1083, 623, 2574, 1411, 15080, 16350, 236761, 854, 236786, 654, 79786, 236772, 37337, 827, 623, 16518, 1083, 11058, 27216, 17929, 827, 623, 10485, 22293, 827, 623, 11898, 36112, 152254, 3714, 3250, 1083, 623, 236780, 25837, 28765, 11994, 84226, 35736, 827, 623, 9707, 1083, 6610, 236778, 236812, 236819, 827, 623, 70343, 1083, 623, 236810, 236771, 236908, 1135, 827, 623, 2451, 1083, 623, 2574, 1411, 15080, 16350, 236761, 854, 236786, 15035, 236745, 28765, 236772, 4043, 20786, 827, 623, 16518, 1083, 11058, 11748, 13564, 827, 623, 10485, 23693, 827, 623, 23994, 21354, 152254, 3714, 3250, 1083, 623, 119760, 601, 2343, 236772, 495, 236772, 4906, 18508, 35736, 827, 623, 9707, 1083, 6610, 236800, 236819, 236819, 827, 623, 70343, 1083, 623, 236812, 236771, 236908, 1135, 827, 623, 2451, 1083, 623, 2574, 1411, 15080, 16350, 236761, 854, 236786, 61909, 601, 236772, 18146, 827, 623, 16518, 1083, 11058, 11919, 7009, 827, 623, 27286, 2317, 31523, 827, 623, 46600, 69200, 6436, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 28881, 236779, 103411, 1083, 3714, 10618, 1083, 623, 31335, 71414, 827, 623, 5930, 236779, 2084, 1083, 623, 4043, 236779, 20786, 827, 623, 10479, 236779, 2003, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1070, 53838, 5177, 6436, 580, 30052, 16350, 600, 1451, 1601, 607, 822, 1295, 11790, 10299, 23937, 236787, 108, 236770, 236761, 5213, 5548, 79786, 18711, 24435, 25396, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236770, 236819, 236832, 568, 236825, 236810, 236908, 1135, 236768, 138, 107, 139, 236772, 5213, 27144, 53121, 24435, 17929, 236764, 2948, 22293, 236764, 5117, 36112, 138, 107, 139, 236772, 5213, 6759, 53121, 870, 5548, 79786, 37936, 5457, 2574, 1411, 15080, 16350, 236761, 854, 236786, 654, 79786, 236772, 37337, 236768, 138, 107, 139, 236772, 808, 54133, 573, 7107, 532, 35447, 822, 1295, 11790, 52379, 9603, 108, 236778, 236761, 5213, 236780, 25837, 28765, 11994, 84226, 35736, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236812, 236819, 568, 236810, 236771, 236908, 1135, 236768, 138, 107, 139, 236772, 5213, 27144, 53121, 23792, 13564, 236764, 2948, 23693, 236764, 9855, 21354, 138, 107, 139, 236772, 5213, 6759, 53121, 870, 236780, 25837, 28765, 6308, 17151, 5457, 2574, 1411, 15080, 16350, 236761, 854, 236786, 15035, 236745, 28765, 236772, 4043, 20786, 236768, 138, 107, 139, 236772, 808, 20418, 573, 21354, 17945, 10103, 607, 496, 2430, 236772, 18865, 7937, 9603, 108, 236800, 236761, 5213, 119760, 601, 2343, 236772, 495, 236772, 4906, 18508, 35736, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236800, 236819, 236819, 568, 236812, 236771, 236908, 1135, 236768, 138, 107, 139, 236772, 5213, 27144, 53121, 19955, 7009, 236764, 5886, 2317, 31523, 236764, 37361, 6436, 138, 107, 139, 236772, 5213, 6759, 53121, 870, 119760, 601, 10624, 5457, 2574, 1411, 15080, 16350, 236761, 854, 236786, 61909, 601, 236772, 18146, 236768, 138, 107, 139, 236772, 808, 116153, 573, 18024, 607, 63807, 532, 20329, 822, 12420, 9603, 108, 3810, 659, 5213, 236778, 236832, 2558, 2536, 1018, 16590, 822, 13138, 236761, 3143, 1806, 3835, 659, 19372, 684, 3385, 568, 117835, 531, 7310, 236768, 532, 3204, 6436, 573, 3003, 11381, 236764, 2948, 21354, 236764, 532, 7009, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 3927, 568, 236744, 236761, 236759, 1126, 5957, 684, 623, 19751, 7937, 236775, 653, 3530, 13965, 769, 103453, 106, 107, 105, 2364, 107, 12879, 573, 8159, 1724, 3835, 236888, 3792, 786, 1751, 1390, 564, 5630, 1041, 60898, 6807, 786, 2613, 3361, 3622, 236761, 669, 2474, 79786, 886, 12054, 6121, 573, 35447, 17205, 236764, 840, 564, 236789, 236757, 22566, 1003, 58098, 625, 855, 580, 1041, 1852, 236761, 28344, 611, 2426, 768, 1027, 529, 1239, 6436, 735, 623, 206829, 236772, 18865, 236775, 52379, 653, 5602, 1894, 600, 23241, 611, 1343, 10884, 236881, 15704, 5957, 506, 30052, 16350, 2536, 1570, 607, 2613, 1133, 623, 41875, 236772, 1071, 236772, 15143, 236775, 653, 623, 22239, 10884, 26309, 236775, 528, 506, 6492, 236881, 564, 236789, 236753, 17554, 531, 3717, 2613, 532, 1299, 974, 17539, 47264, 657, 16893, 564, 1537, 236789, 236745, 3050, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 5548, 79786, 37827, 70831, 827, 623, 9707, 1083, 6610, 236812, 236832, 827, 623, 7777, 1083, 623, 5471, 236772, 2003, 236772, 9340, 2948, 26309, 573, 7107, 12420, 236764, 5132, 3892, 1894, 573, 1171, 236743, 236800, 236771, 2668, 827, 623, 16518, 1083, 11058, 27426, 1250, 236772, 18865, 9711, 827, 623, 102711, 52379, 827, 623, 11919, 1894, 152254, 3714, 1201, 1083, 623, 236855, 1196, 15922, 40440, 13039, 827, 623, 9707, 1083, 6610, 236819, 236819, 827, 623, 7777, 1083, 623, 48930, 774, 10884, 16326, 607, 8300, 236772, 66414, 146342, 236751, 573, 3003, 3904, 11381, 827, 623, 16518, 1083, 11058, 44465, 236772, 624, 236772, 8658, 23693, 827, 623, 236778, 236812, 236786, 236832, 11184, 1894, 827, 623, 42736, 60218, 152254, 3714, 1201, 1083, 623, 51836, 1081, 25735, 6302, 827, 623, 9707, 1083, 6610, 236800, 236810, 827, 623, 7777, 1083, 623, 3695, 236772, 25089, 3003, 10318, 607, 24554, 10884, 52379, 573, 1546, 4926, 827, 623, 16518, 1083, 11058, 20558, 705, 89410, 827, 623, 166997, 1894, 2434, 827, 623, 46640, 19985, 152254, 3714, 1201, 1083, 623, 25998, 722, 11032, 827, 623, 9707, 1083, 6610, 236810, 236819, 827, 623, 7777, 1083, 623, 20216, 10884, 8214, 600, 23241, 611, 1343, 7107, 15419, 7088, 532, 12420, 827, 623, 16518, 1083, 11058, 102711, 10884, 4469, 827, 623, 9704, 1894, 5012, 827, 623, 42736, 2630, 52299, 152254, 3714, 1201, 1083, 623, 5548, 79786, 24435, 40440, 15806, 827, 623, 9707, 1083, 6610, 236778, 236819, 827, 623, 7777, 1083, 623, 27426, 1250, 236772, 41889, 98889, 607, 48246, 10884, 26309, 532, 4322, 236772, 58205, 1894, 827, 623, 16518, 1083, 11058, 10343, 742, 16553, 26309, 827, 623, 11748, 236772, 58205, 10884, 14845, 827, 623, 29335, 8221, 2299, 99471, 1604, 623, 28881, 236779, 103411, 1083, 3714, 10618, 1083, 623, 31335, 71414, 827, 623, 3278, 1083, 623, 41875, 236772, 1071, 236772, 15143, 52766, 236772, 18865, 10884, 26309, 827, 623, 10479, 236779, 2003, 1083, 623, 9707, 236779, 12456, 827, 623, 5930, 236779, 2084, 1083, 623, 4043, 236779, 20786, 23179, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 14210, 1083, 623, 8534, 236743, 236810, 529, 236743, 236770, 236771, 15633, 4852, 3505, 236761, 2343, 2536, 3204, 52766, 1894, 4065, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 52766, 236772, 18865, 6436, 699, 30052, 16350, 607, 5284, 236772, 495, 1894, 4065, 531, 1601, 611, 974, 3931, 2180, 39850, 236787, 108, 236770, 236761, 5213, 5548, 79786, 37827, 70831, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236812, 236832, 138, 107, 139, 236772, 5213, 16400, 53121, 14938, 236772, 2003, 236772, 9340, 2948, 26309, 236764, 3892, 1894, 573, 236743, 236800, 236771, 2668, 236764, 4553, 1894, 138, 107, 139, 236772, 5213, 27144, 53121, 160433, 236772, 18865, 9711, 236764, 21931, 52379, 138, 108, 236778, 236761, 5213, 51836, 1081, 25735, 6302, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236800, 236810, 138, 107, 139, 236772, 5213, 16400, 53121, 3946, 236772, 25089, 3003, 23693, 236764, 11554, 1894, 2434, 236764, 3399, 19985, 138, 107, 139, 236772, 5213, 27144, 53121, 78073, 89410, 236764, 24554, 10884, 52379, 138, 108, 236800, 236761, 5213, 5548, 79786, 24435, 40440, 15806, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236778, 236819, 568, 3374, 17075, 15520, 138, 107, 139, 236772, 5213, 16400, 53121, 235945, 16553, 26309, 236764, 4322, 236772, 58205, 10884, 14845, 236764, 2147, 8221, 2299, 138, 107, 139, 236772, 5213, 54133, 573, 53121, 24246, 38600, 1015, 1461, 4916, 236772, 498, 1601, 138, 108, 236812, 236761, 5213, 25998, 722, 11032, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236810, 236819, 138, 107, 139, 236772, 5213, 16400, 53121, 59494, 10884, 4469, 236764, 5154, 1894, 236764, 2630, 52299, 138, 107, 139, 236772, 5213, 61192, 53121, 223464, 611, 1343, 7107, 15419, 7088, 2918, 236772, 2003, 236772, 9340, 138, 108, 236810, 236761, 5213, 236855, 1196, 15922, 40440, 13039, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 609, 236819, 236819, 138, 107, 139, 236772, 5213, 16400, 53121, 34353, 236772, 66414, 146342, 236751, 236764, 236743, 236778, 236812, 236786, 236832, 11184, 1894, 236764, 10884, 60218, 138, 107, 139, 236772, 5213, 17043, 573, 53121, 94770, 10884, 607, 11893, 4514, 138, 108, 1018, 9640, 3835, 1765, 53121, 236743, 236770, 236832, 568, 236810, 3505, 1590, 236764, 19372, 684, 3385, 769, 2343, 3204, 52766, 1894, 1133, 52379, 236764, 3892, 1601, 236764, 653, 10884, 210943, 236761, 669, 609, 236778, 236819, 532, 609, 236800, 236810, 3835, 2473, 577, 7436, 573, 822, 3548, 2338, 901, 56856, 28291, 532, 4916, 236772, 498, 14984, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 236764, 653, 1374, 564, 59638, 506, 3927, 3342, 236881, 103453, 106, 107, 105, 2364, 107, 12879, 573, 91240, 625, 1679, 236888, 669, 609, 236778, 236819, 532, 609, 236800, 236810, 3835, 5057, 23284, 236761, 28344, 611, 2426, 768, 3477, 529, 1724, 5132, 5213, 5275, 1894, 1018, 653, 5213, 7656, 236772, 58205, 10884, 14845, 1018, 236881, 564, 236858, 236753, 4319, 711, 16438, 607, 203873, 768, 564, 974, 17539, 236761, 6542, 236764, 1677, 506, 609, 236778, 236819, 886, 607, 506, 16553, 26309, 735, 5396, 2918, 236772, 2003, 236772, 9340, 7829, 236764, 653, 563, 625, 1164, 1816, 236881, 3551, 6114, 10050, 236858, 236745, 1144, 901, 1456, 531, 577, 236764, 532, 564, 236858, 236753, 17554, 531, 173184, 657, 16383, 4171, 784, 1719, 236761, 103453, 106, 107, 105, 4368, 107, 818, 5213, 236795, 236778, 236819, 2474, 79786, 24435, 40440, 15806, 1018, 5132, 5213, 7656, 236772, 58205, 10884, 14845, 1018, 568, 15218, 32520, 653, 3361, 236768, 532, 5213, 161139, 16553, 26309, 84750, 5978, 506, 5904, 6492, 4038, 236858, 236745, 25010, 4928, 7829, 528, 506, 144395, 236764, 506, 20773, 529, 623, 7656, 236772, 58205, 236775, 12205, 7426, 14984, 563, 124406, 236761, 669, 5213, 236795, 236800, 236810, 27384, 1081, 25735, 6302, 1018, 1186, 15852, 496, 623, 205358, 1894, 2434, 236775, 568, 19609, 4553, 236786, 12952, 236768, 532, 951, 5154, 236786, 7656, 236772, 58205, 3835, 236761, 138, 108, 2542, 822, 3548, 236764, 506, 5213, 236795, 236778, 236819, 5086, 1018, 5072, 7436, 236787, 138, 107, 236772, 5213, 11748, 236772, 58205, 14845, 1018, 573, 1759, 236772, 2289, 7426, 1601, 236761, 138, 107, 236772, 5213, 10343, 742, 26309, 1018, 568, 19609, 2918, 236772, 2003, 236772, 9340, 236764, 3635, 4876, 1093, 4911, 580, 910, 1702, 769, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 768, 506, 144395, 25010, 4928, 4876, 568, 584, 2653, 20625, 138, 107, 236778, 236761, 11696, 573, 1032, 6436, 607, 5154, 1894, 236881, 138, 107, 236800, 236761, 101685, 607, 4889, 573, 506, 609, 236778, 236819, 5689, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 7107, 496, 3658, 6425, 573, 1041, 9180, 3495, 236764, 623, 818, 42976, 30409, 1781, 564, 1461, 625, 531, 40878, 2754, 1041, 50353, 19548, 66051, 12896, 236772, 14645, 5931, 2780, 607, 7363, 1610, 26899, 236761, 6890, 1816, 600, 5132, 1041, 14187, 19292, 568, 48049, 68028, 236762, 236764, 6989, 833, 57626, 842, 60565, 66168, 47852, 779, 25075, 140922, 568, 149988, 236762, 236764, 8131, 576, 7417, 779, 532, 4301, 9871, 568, 97375, 236764, 21038, 57518, 769, 9996, 625, 16627, 532, 32585, 1133, 496, 28239, 8351, 30918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 3017, 236779, 12138, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3017, 236772, 138682, 236786, 14303, 236772, 93420, 236761, 5067, 827, 623, 21052, 1083, 3714, 1005, 236779, 3119, 1083, 236743, 236778, 236770, 236810, 236764, 623, 20738, 236779, 8992, 1083, 236743, 236778, 236828, 236764, 623, 3001, 236779, 65983, 1083, 623, 236766, 98237, 236779, 236757, 1762, 827, 623, 3631, 236779, 3061, 1083, 623, 22045, 54936, 236779, 57006, 827, 623, 7788, 1083, 623, 4936, 7082, 236779, 209949, 23179, 623, 54012, 524, 236779, 42103, 1083, 11058, 48049, 68028, 236762, 827, 623, 19253, 833, 57626, 842, 60565, 66168, 47852, 827, 623, 149988, 236762, 827, 623, 13060, 576, 7417, 827, 623, 15640, 827, 623, 4936, 7082, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 28239, 3658, 6425, 573, 623, 818, 42976, 30409, 118659, 236743, 245838, 247677, 138, 107, 236840, 2039, 236786, 18086, 506, 11685, 16215, 5457, 2574, 1411, 8358, 236761, 854, 236786, 3017, 236772, 138682, 236786, 14303, 236772, 93420, 236761, 5067, 236768, 138, 108, 1018, 3503, 25772, 53121, 138, 107, 236772, 5213, 40339, 833, 140134, 37521, 53121, 56900, 528, 496, 623, 4936, 7082, 236779, 209949, 236775, 3759, 607, 69552, 236772, 52728, 73945, 138, 107, 236772, 5213, 224879, 60401, 38456, 53121, 138, 107, 138, 240785, 60401, 226754, 236787, 808, 48049, 68028, 236762, 30237, 808, 19253, 833, 57626, 842, 60565, 66168, 47852, 236829, 138, 107, 138, 249572, 4585, 92271, 2015, 236787, 808, 149988, 236762, 30237, 808, 13060, 576, 7417, 236829, 138, 107, 138, 244906, 17172, 214389, 236787, 808, 97375, 30237, 808, 89265, 57518, 236829, 138, 107, 236772, 5213, 3484, 34504, 53121, 623, 236766, 98237, 236779, 236757, 1762, 236775, 33448, 161887, 496, 8351, 3549, 30918, 138, 108, 818, 3658, 6425, 58811, 822, 19549, 529, 5931, 2780, 532, 7363, 1610, 6540, 1651, 32427, 822, 4185, 50353, 140922, 236761, 21284, 611, 1133, 531, 6253, 1027, 4820, 568, 236744, 236761, 236759, 1126, 1138, 236786, 6773, 3755, 236764, 2352, 2258, 12732, 20625, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 31236, 8341, 5384, 573, 1041, 9180, 236789, 236751, 181235, 2509, 236761, 564, 1461, 531, 2729, 8341, 2351, 496, 236743, 236770, 236810, 236772, 33432, 12425, 529, 66463, 236764, 840, 7611, 6527, 2514, 101274, 236761, 6890, 506, 9279, 236779, 81907, 236779, 13769, 5904, 607, 6137, 236787, 3225, 11317, 609, 236800, 236761, 236810, 236771, 236764, 609, 236771, 236761, 236832, 236810, 810, 16879, 236764, 532, 496, 236743, 236778, 236771, 236908, 7611, 112340, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 17075, 573, 5103, 1651, 14086, 1023, 5384, 236761, 106, 107, 105, 4368, 107, 2021, 9279, 822, 8341, 5384, 1699, 506, 5904, 236764, 564, 1202, 3530, 4889, 1003, 506, 8289, 3825, 532, 12892, 3421, 236761, 669, 5904, 7087, 236787, 138, 107, 236770, 236761, 5213, 17115, 1018, 568, 495, 82929, 236768, 138, 107, 236778, 236761, 5213, 54418, 1018, 568, 10602, 3421, 2351, 506, 66463, 12425, 236768, 138, 107, 236800, 236761, 33431, 5086, 568, 23771, 236786, 12443, 236768, 138, 108, 11069, 3225, 11317, 236764, 810, 236772, 33432, 3136, 236764, 532, 7611, 112340, 795, 1202, 531, 577, 6055, 21112, 2338, 506, 5904, 4038, 236789, 236745, 4242, 1239, 618, 6137, 236761, 28344, 611, 2847, 506, 5213, 6078, 529, 614, 4398, 181235, 1900, 1018, 532, 496, 5498, 5213, 34598, 3421, 1018, 236881, 564, 236789, 859, 1299, 8729, 506, 3225, 8341, 2157, 236764, 837, 611, 740, 17794, 607, 822, 21212, 2028, 236761, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 31236, 8341, 5384, 573, 1041, 9180, 236789, 236751, 181235, 2509, 236761, 564, 1461, 531, 2729, 8341, 2351, 496, 236743, 236770, 236810, 236772, 33432, 12425, 529, 66463, 236764, 840, 7611, 6527, 2514, 101274, 236761, 6890, 506, 9279, 236779, 81907, 236779, 13769, 5904, 607, 6137, 236787, 3225, 11317, 609, 236800, 236761, 236810, 236771, 236764, 609, 236771, 236761, 236832, 236810, 810, 16879, 236764, 532, 496, 236743, 236778, 236771, 236908, 7611, 112340, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 17075, 573, 5103, 1651, 14086, 1023, 5384, 236761, 5213, 27779, 20303, 53121, 753, 29748, 181235, 1900, 3825, 236787, 5213, 236810, 7022, 1018, 753, 31278, 12892, 3421, 236787, 808, 236770, 236778, 236800, 74560, 6718, 236764, 4844, 66463, 236764, 21044, 236743, 236771, 236825, 236770, 236771, 236832, 236829, 753, 33431, 5086, 236787, 5213, 21108, 1018, 564, 236858, 859, 5510, 1041, 21212, 2028, 531, 506, 5904, 236858, 236751, 3225, 2157, 3622, 564, 1460, 506, 25890, 236761, 3199, 611, 6060, 506, 14988, 607, 1239, 72320, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 236779, 13769, 1083, 236743, 236800, 236761, 236810, 236764, 623, 17178, 236779, 13769, 1083, 236743, 236832, 236761, 236810, 236764, 623, 45594, 236779, 236751, 180269, 1083, 236743, 236778, 236761, 236778, 236764, 623, 6725, 236779, 13769, 1083, 236743, 236770, 236800, 236761, 236778, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236771, 236764, 623, 81907, 236779, 13308, 1083, 3714, 6078, 236779, 7022, 1083, 236743, 236810, 236764, 623, 81907, 236779, 13873, 1083, 623, 236770, 236810, 236772, 33432, 12425, 66463, 827, 623, 81907, 236779, 4485, 1083, 623, 23771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8341, 2157, 25890, 573, 822, 5498, 1900, 531, 4844, 66463, 236787, 138, 108, 1018, 65787, 11117, 166977, 53121, 138, 107, 236772, 10116, 55246, 236787, 609, 236800, 236761, 236810, 236771, 138, 107, 236772, 46783, 11117, 568, 236770, 236771, 7635, 1473, 609, 236832, 236761, 236810, 236771, 138, 107, 236772, 38039, 555, 180269, 568, 236778, 236771, 236908, 529, 609, 236770, 236770, 236761, 236771, 236771, 1473, 609, 236778, 236761, 236778, 236771, 138, 107, 1018, 9640, 11117, 53121, 609, 236770, 236800, 236761, 236778, 236771, 138, 108, 2094, 14988, 100146, 607, 822, 6137, 568, 5521, 11317, 900, 810, 236772, 33432, 3136, 900, 7611, 112340, 769, 1701, 496, 236743, 236770, 236810, 236772, 33432, 5783, 12425, 236764, 506, 7310, 2653, 2157, 1093, 577, 236787, 138, 107, 236772, 10116, 236787, 609, 236800, 236761, 236810, 236771, 900, 236743, 236770, 236810, 1327, 237858, 236795, 236771, 236761, 236832, 236810, 578, 609, 236770, 236812, 236761, 236832, 236810, 900, 609, 236778, 236761, 236819, 236810, 112340, 578, 5213, 236795, 236778, 236770, 236761, 236778, 236771, 2558, 1018, 138, 108, 38786, 611, 1133, 531, 1594, 4767, 25521, 568, 236744, 236761, 236759, 1126, 40444, 10400, 236764, 3821, 8341, 236768, 653, 6253, 1027, 6137, 236881, 669, 5904, 740, 1601, 611, 5013, 236772, 2181, 1607, 29262, 1680, 201585, 822, 21212, 2028, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 7107, 496, 3658, 6425, 573, 1041, 9180, 3495, 236764, 623, 818, 42976, 30409, 1781, 564, 1461, 625, 531, 40878, 2754, 1041, 50353, 19548, 66051, 12896, 236772, 14645, 5931, 2780, 607, 7363, 1610, 26899, 236761, 6890, 1816, 600, 5132, 1041, 14187, 19292, 568, 48049, 68028, 236762, 236764, 6989, 833, 57626, 842, 60565, 66168, 47852, 779, 25075, 140922, 568, 149988, 236762, 236764, 8131, 576, 7417, 779, 532, 4301, 9871, 568, 97375, 236764, 21038, 57518, 769, 9996, 625, 16627, 532, 32585, 1133, 496, 28239, 8351, 30918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 3017, 236779, 12138, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3017, 236772, 138682, 236786, 14303, 236772, 93420, 236761, 5067, 827, 623, 21052, 1083, 3714, 1005, 236779, 3119, 1083, 236743, 236778, 236770, 236810, 236764, 623, 20738, 236779, 8992, 1083, 236743, 236778, 236828, 236764, 623, 3001, 236779, 65983, 1083, 623, 236766, 98237, 236779, 236757, 1762, 827, 623, 3631, 236779, 3061, 1083, 623, 22045, 54936, 236779, 57006, 827, 623, 7788, 1083, 623, 4936, 7082, 236779, 209949, 23179, 623, 54012, 524, 236779, 42103, 1083, 11058, 48049, 68028, 236762, 827, 623, 19253, 833, 57626, 842, 60565, 66168, 47852, 827, 623, 149988, 236762, 827, 623, 13060, 576, 7417, 827, 623, 15640, 827, 623, 4936, 7082, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 28239, 3658, 6425, 573, 623, 818, 42976, 30409, 118659, 236743, 245838, 247677, 138, 107, 236840, 2039, 236786, 18086, 506, 11685, 16215, 5457, 2574, 1411, 8358, 236761, 854, 236786, 3017, 236772, 138682, 236786, 14303, 236772, 93420, 236761, 5067, 236768, 138, 108, 1018, 3503, 25772, 53121, 138, 107, 236772, 5213, 40339, 833, 140134, 37521, 53121, 56900, 528, 496, 623, 4936, 7082, 236779, 209949, 236775, 3759, 607, 69552, 236772, 52728, 73945, 138, 107, 236772, 5213, 224879, 60401, 38456, 53121, 138, 107, 138, 240785, 60401, 226754, 236787, 808, 48049, 68028, 236762, 30237, 808, 19253, 833, 57626, 842, 60565, 66168, 47852, 236829, 138, 107, 138, 249572, 4585, 92271, 2015, 236787, 808, 149988, 236762, 30237, 808, 13060, 576, 7417, 236829, 138, 107, 138, 244906, 17172, 214389, 236787, 808, 97375, 30237, 808, 89265, 57518, 236829, 138, 107, 236772, 5213, 3484, 34504, 53121, 623, 236766, 98237, 236779, 236757, 1762, 236775, 33448, 161887, 496, 8351, 3549, 30918, 138, 108, 818, 3658, 6425, 58811, 822, 19549, 529, 5931, 2780, 532, 7363, 1610, 6540, 1651, 32427, 822, 4185, 50353, 140922, 236761, 21284, 611, 1133, 531, 6253, 1027, 4820, 568, 236744, 236761, 236759, 1126, 1138, 236786, 6773, 3755, 236764, 2352, 2258, 12732, 20625, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 31236, 8341, 5384, 573, 1041, 9180, 236789, 236751, 181235, 2509, 236761, 564, 1461, 531, 2729, 8341, 2351, 496, 236743, 236770, 236810, 236772, 33432, 12425, 529, 66463, 236764, 840, 7611, 6527, 2514, 101274, 236761, 6890, 506, 9279, 236779, 81907, 236779, 13769, 5904, 607, 6137, 236787, 3225, 11317, 609, 236800, 236761, 236810, 236771, 236764, 609, 236771, 236761, 236832, 236810, 810, 16879, 236764, 532, 496, 236743, 236778, 236771, 236908, 7611, 112340, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 17075, 573, 5103, 1651, 14086, 1023, 5384, 236761, 106, 107, 105, 4368, 107, 2021, 9279, 822, 8341, 5384, 1699, 506, 5904, 236764, 564, 1202, 3530, 4889, 1003, 506, 8289, 3825, 532, 12892, 3421, 236761, 669, 5904, 7087, 236787, 138, 107, 236770, 236761, 5213, 17115, 1018, 568, 495, 82929, 236768, 138, 107, 236778, 236761, 5213, 54418, 1018, 568, 10602, 3421, 2351, 506, 66463, 12425, 236768, 138, 107, 236800, 236761, 33431, 5086, 568, 23771, 236786, 12443, 236768, 138, 108, 11069, 3225, 11317, 236764, 810, 236772, 33432, 3136, 236764, 532, 7611, 112340, 795, 1202, 531, 577, 6055, 21112, 2338, 506, 5904, 4038, 236789, 236745, 4242, 1239, 618, 6137, 236761, 28344, 611, 2847, 506, 5213, 6078, 529, 614, 4398, 181235, 1900, 1018, 532, 496, 5498, 5213, 34598, 3421, 1018, 236881, 564, 236789, 859, 1299, 8729, 506, 3225, 8341, 2157, 236764, 837, 611, 740, 17794, 607, 822, 21212, 2028, 236761, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 31236, 8341, 5384, 573, 1041, 9180, 236789, 236751, 181235, 2509, 236761, 564, 1461, 531, 2729, 8341, 2351, 496, 236743, 236770, 236810, 236772, 33432, 12425, 529, 66463, 236764, 840, 7611, 6527, 2514, 101274, 236761, 6890, 506, 9279, 236779, 81907, 236779, 13769, 5904, 607, 6137, 236787, 3225, 11317, 609, 236800, 236761, 236810, 236771, 236764, 609, 236771, 236761, 236832, 236810, 810, 16879, 236764, 532, 496, 236743, 236778, 236771, 236908, 7611, 112340, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 17075, 573, 5103, 1651, 14086, 1023, 5384, 236761, 5213, 27779, 20303, 53121, 753, 29748, 181235, 1900, 3825, 236787, 5213, 236810, 7022, 1018, 753, 31278, 12892, 3421, 236787, 808, 236770, 236778, 236800, 74560, 6718, 236764, 4844, 66463, 236764, 21044, 236743, 236771, 236825, 236770, 236771, 236832, 236829, 753, 33431, 5086, 236787, 5213, 21108, 1018, 564, 236858, 859, 5510, 1041, 21212, 2028, 531, 506, 5904, 236858, 236751, 3225, 2157, 3622, 564, 1460, 506, 25890, 236761, 3199, 611, 6060, 506, 14988, 607, 1239, 72320, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 236779, 13769, 1083, 236743, 236800, 236761, 236810, 236764, 623, 17178, 236779, 13769, 1083, 236743, 236832, 236761, 236810, 236764, 623, 45594, 236779, 236751, 180269, 1083, 236743, 236778, 236761, 236778, 236764, 623, 6725, 236779, 13769, 1083, 236743, 236770, 236800, 236761, 236778, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236771, 236764, 623, 81907, 236779, 13308, 1083, 3714, 6078, 236779, 7022, 1083, 236743, 236810, 236764, 623, 81907, 236779, 13873, 1083, 623, 236770, 236810, 236772, 33432, 12425, 66463, 827, 623, 81907, 236779, 4485, 1083, 623, 23771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8341, 2157, 25890, 573, 822, 5498, 1900, 531, 4844, 66463, 236787, 138, 108, 1018, 65787, 11117, 166977, 53121, 138, 107, 236772, 10116, 55246, 236787, 609, 236800, 236761, 236810, 236771, 138, 107, 236772, 46783, 11117, 568, 236770, 236771, 7635, 1473, 609, 236832, 236761, 236810, 236771, 138, 107, 236772, 38039, 555, 180269, 568, 236778, 236771, 236908, 529, 609, 236770, 236770, 236761, 236771, 236771, 1473, 609, 236778, 236761, 236778, 236771, 138, 107, 1018, 9640, 11117, 53121, 609, 236770, 236800, 236761, 236778, 236771, 138, 108, 2094, 14988, 100146, 607, 822, 6137, 568, 5521, 11317, 900, 810, 236772, 33432, 3136, 900, 7611, 112340, 769, 1701, 496, 236743, 236770, 236810, 236772, 33432, 5783, 12425, 236764, 506, 7310, 2653, 2157, 1093, 577, 236787, 138, 107, 236772, 10116, 236787, 609, 236800, 236761, 236810, 236771, 900, 236743, 236770, 236810, 1327, 237858, 236795, 236771, 236761, 236832, 236810, 578, 609, 236770, 236812, 236761, 236832, 236810, 900, 609, 236778, 236761, 236819, 236810, 112340, 578, 5213, 236795, 236778, 236770, 236761, 236778, 236771, 2558, 1018, 138, 108, 38786, 611, 1133, 531, 1594, 4767, 25521, 568, 236744, 236761, 236759, 1126, 40444, 10400, 236764, 3821, 8341, 236768, 653, 6253, 1027, 6137, 236881, 669, 5904, 740, 1601, 611, 5013, 236772, 2181, 1607, 29262, 1680, 201585, 822, 21212, 2028, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 1451, 611, 974, 506, 2590, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 236881, 564, 236789, 236757, 6995, 496, 2434, 2197, 91624, 532, 1461, 531, 5571, 2563, 20720, 1133, 44694, 532, 8226, 237028, 3307, 13919, 236858, 236751, 1010, 28052, 607, 58658, 33208, 236764, 532, 564, 236858, 236753, 2765, 531, 4351, 496, 3433, 600, 4146, 573, 4677, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 44691, 36938, 6065, 13297, 236761, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 23179, 3714, 1201, 1083, 623, 18160, 11568, 236789, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236819, 23179, 3714, 1201, 1083, 623, 135831, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 23179, 3714, 1201, 1083, 623, 40885, 41356, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 23179, 3714, 1201, 1083, 623, 219550, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236812, 23179, 3714, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236778, 23179, 3714, 1201, 1083, 623, 205192, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236812, 23179, 3714, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 12879, 24502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236828, 23179, 3714, 1201, 1083, 623, 35966, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2590, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 611, 2731, 822, 2434, 2197, 91624, 236787, 138, 108, 236772, 5213, 4199, 8799, 236789, 236751, 6156, 66515, 6027, 236743, 236770, 138, 107, 236772, 5213, 44691, 36938, 6065, 13297, 236761, 6156, 66515, 6027, 236743, 236770, 236810, 138, 107, 236772, 5213, 18160, 11568, 236789, 6156, 66515, 7250, 236743, 236770, 236819, 138, 107, 236772, 5213, 135831, 6156, 66515, 3353, 236743, 236778, 236832, 138, 107, 236772, 5213, 40885, 41356, 66515, 5142, 236743, 236770, 236819, 138, 107, 236772, 5213, 219550, 6156, 66515, 5505, 236743, 236812, 138, 107, 236772, 5213, 63651, 6156, 66515, 5857, 236743, 236778, 138, 107, 236772, 5213, 205192, 6156, 66515, 6198, 236743, 236770, 236812, 138, 107, 236772, 5213, 103591, 743, 6156, 66515, 6243, 236743, 236770, 236770, 138, 107, 236772, 5213, 12879, 24502, 66515, 6243, 236743, 236778, 236828, 46260, 54670, 672, 886, 236888, 12016, 138, 107, 236772, 5213, 35966, 66515, 6384, 236743, 236778, 236810, 46260, 54670, 672, 886, 2311, 236888, 12016, 138, 108, 2021, 5330, 5783, 26241, 236764, 4351, 496, 3433, 808, 2217, 236829, 580, 672, 1694, 237028, 5282, 3649, 6198, 653, 5226, 5142, 568, 71681, 529, 13067, 41356, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 91240, 625, 1679, 3342, 236888, 103453, 106, 107, 105, 2364, 107, 30092, 611, 974, 506, 1237, 20720, 573, 22265, 528, 236743, 236778, 236771, 236778, 236812, 236881, 564, 236789, 236757, 6995, 496, 7946, 531, 112171, 573, 1041, 7384, 9226, 68371, 532, 1461, 531, 5571, 14069, 1056, 2263, 9766, 532, 50569, 659, 6535, 237028, 3307, 1774, 3517, 119501, 607, 176281, 236764, 532, 564, 236858, 236753, 2765, 531, 2707, 506, 3207, 1913, 102656, 236764, 919, 24636, 13144, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 7777, 1083, 623, 80199, 567, 529, 506, 1502, 529, 506, 181434, 14626, 1051, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 236774, 236785, 236756, 236770, 1641, 765, 11586, 2564, 236785, 236756, 236771, 236771, 50198, 621, 236756, 236771, 236770, 236770, 236771, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 827, 623, 7777, 1083, 623, 229398, 1799, 8799, 568, 92249, 49511, 1799, 8799, 236768, 753, 3262, 10940, 2846, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 61625, 27328, 2363, 128887, 6156, 827, 623, 7777, 1083, 623, 37892, 913, 506, 33195, 47663, 529, 22265, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236800, 236771, 827, 623, 1201, 1083, 623, 1479, 602, 2540, 6156, 827, 623, 7777, 1083, 623, 27619, 506, 1345, 529, 506, 22265, 5289, 532, 4559, 223650, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 28061, 11712, 6156, 827, 623, 7777, 1083, 623, 80199, 1090, 7683, 236789, 5726, 532, 29685, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236778, 827, 623, 1201, 1083, 623, 20918, 6156, 827, 623, 7777, 1083, 623, 6764, 33435, 1090, 22265, 236789, 236751, 59253, 529, 44506, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 22265, 236789, 236751, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 611, 2731, 822, 9226, 68371, 7946, 531, 112171, 236787, 138, 108, 236772, 5213, 4199, 8799, 236789, 236751, 6156, 66515, 6027, 236743, 236770, 138, 107, 236772, 5213, 236774, 6408, 130604, 7968, 3238, 568, 229398, 1799, 8799, 62902, 236787, 5213, 37207, 236743, 236770, 236771, 1018, 46260, 36344, 10940, 2846, 237028, 54670, 672, 3433, 532, 506, 12989, 2069, 573, 102656, 9871, 12016, 138, 107, 236772, 5213, 61625, 27328, 2363, 128887, 6156, 66515, 5365, 236743, 236770, 236771, 138, 107, 236772, 5213, 1479, 602, 2540, 6156, 66515, 5365, 236743, 236800, 236771, 138, 107, 236772, 5213, 28061, 11712, 6156, 66515, 3353, 236743, 236770, 138, 107, 236772, 5213, 20918, 6156, 66515, 5857, 236743, 236778, 138, 108, 1018, 3503, 9106, 66515, 138, 107, 236772, 5213, 77499, 176281, 568, 37207, 236743, 236770, 236771, 62902, 237028, 509, 236858, 236751, 506, 9754, 10940, 236764, 607, 9766, 236786, 3412, 2649, 6535, 573, 2668, 236761, 138, 107, 236772, 5213, 54863, 5365, 236743, 236800, 236771, 236964, 12055, 236743, 236770, 1018, 568, 1479, 602, 2540, 6156, 900, 11712, 6156, 779, 618, 1239, 3187, 11719, 64233, 532, 41580, 236761, 138, 107, 236772, 5213, 17043, 2782, 531, 3517, 66515, 138, 107, 138, 236772, 5213, 68480, 5261, 531, 3649, 5365, 1018, 568, 9900, 176281, 236764, 1680, 19771, 27328, 6156, 236768, 138, 107, 138, 236772, 5213, 68480, 3353, 531, 3649, 5142, 1018, 568, 9900, 11712, 6156, 236764, 1680, 4025, 6156, 236768, 138, 107, 138, 236772, 5213, 30902, 1018, 568, 53586, 1680, 4025, 6156, 528, 5857, 236768, 138, 108, 236814, 87032, 563, 1346, 28239, 532, 15283, 1913, 1239, 102656, 13443, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 91240, 1679, 4453, 14069, 236888, 236743, 242560, 106, 107, 105, 2364, 107, 8574, 611, 9128, 768, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 16071, 580, 496, 1237, 10940, 528, 22265, 236881, 564, 236789, 236757, 201585, 1041, 112171, 7946, 14069, 573, 5226, 5142, 237028, 9900, 11712, 6156, 840, 1680, 4025, 6156, 237028, 624, 1461, 531, 5330, 506, 1610, 9766, 532, 50569, 564, 2731, 531, 3517, 568, 5282, 506, 5906, 16939, 528, 56773, 26497, 25687, 236768, 795, 577, 1932, 236761, 3551, 1774, 7946, 691, 67509, 684, 176281, 236764, 834, 564, 236858, 236757, 1646, 4481, 15318, 672, 990, 236761, 106, 107, 105, 4368, 107, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 5213, 511, 711, 496, 1237, 10940, 528, 22265, 1018, 2721, 580, 506, 5125, 236743, 236778, 236771, 236778, 236812, 10940, 1694, 236761, 669, 2148, 10940, 1308, 11712, 6156, 568, 12055, 236743, 236770, 236768, 563, 4025, 6156, 580, 5213, 36022, 236743, 236778, 125546, 834, 822, 5226, 236772, 27403, 7946, 568, 16603, 5142, 236743, 236770, 236810, 236768, 16071, 2351, 506, 12010, 236764, 1932, 2846, 611, 236858, 500, 42351, 573, 236761, 138, 108, 1018, 3503, 26093, 66515, 138, 107, 236772, 5213, 3771, 64233, 1018, 4275, 573, 1610, 9766, 236764, 50569, 236764, 653, 9226, 7088, 580, 5142, 236743, 236770, 236810, 236761, 138, 107, 236772, 1174, 100146, 607, 506, 10325, 4771, 568, 7736, 3353, 236964, 47276, 5142, 236768, 573, 24636, 236764, 723, 47129, 7156, 9871, 528, 112171, 236761, 138, 108, 11069, 6995, 563, 7075, 236772, 498, 237028, 27403, 236743, 236770, 236810, 795, 577, 7436, 573, 16270, 26497, 1610, 9766, 532, 50569, 2180, 10940, 86557, 236761, 30164, 33036, 236764, 532, 4059, 506, 28239, 6540, 236888, 236743, 245838, 252193, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 974, 506, 2590, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 236881, 564, 236789, 236757, 6995, 496, 2434, 2197, 91624, 532, 1461, 531, 5571, 2563, 20720, 1133, 44694, 532, 8226, 237028, 3307, 13919, 236858, 236751, 1010, 28052, 607, 58658, 33208, 236764, 532, 564, 236858, 236753, 2765, 531, 4351, 496, 3433, 600, 4146, 573, 4677, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 44691, 36938, 6065, 13297, 236761, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 23179, 3714, 1201, 1083, 623, 18160, 11568, 236789, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236819, 23179, 3714, 1201, 1083, 623, 135831, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 23179, 3714, 1201, 1083, 623, 40885, 41356, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 23179, 3714, 1201, 1083, 623, 219550, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236812, 23179, 3714, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236778, 23179, 3714, 1201, 1083, 623, 205192, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236812, 23179, 3714, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 12879, 24502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236828, 23179, 3714, 1201, 1083, 623, 35966, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2590, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 611, 2731, 822, 2434, 2197, 91624, 236787, 138, 108, 236772, 5213, 4199, 8799, 236789, 236751, 6156, 66515, 6027, 236743, 236770, 138, 107, 236772, 5213, 44691, 36938, 6065, 13297, 236761, 6156, 66515, 6027, 236743, 236770, 236810, 138, 107, 236772, 5213, 18160, 11568, 236789, 6156, 66515, 7250, 236743, 236770, 236819, 138, 107, 236772, 5213, 135831, 6156, 66515, 3353, 236743, 236778, 236832, 138, 107, 236772, 5213, 40885, 41356, 66515, 5142, 236743, 236770, 236819, 138, 107, 236772, 5213, 219550, 6156, 66515, 5505, 236743, 236812, 138, 107, 236772, 5213, 63651, 6156, 66515, 5857, 236743, 236778, 138, 107, 236772, 5213, 205192, 6156, 66515, 6198, 236743, 236770, 236812, 138, 107, 236772, 5213, 103591, 743, 6156, 66515, 6243, 236743, 236770, 236770, 138, 107, 236772, 5213, 12879, 24502, 66515, 6243, 236743, 236778, 236828, 46260, 54670, 672, 886, 236888, 12016, 138, 107, 236772, 5213, 35966, 66515, 6384, 236743, 236778, 236810, 46260, 54670, 672, 886, 2311, 236888, 12016, 138, 108, 2021, 5330, 5783, 26241, 236764, 4351, 496, 3433, 808, 2217, 236829, 580, 672, 1694, 237028, 5282, 3649, 6198, 653, 5226, 5142, 568, 71681, 529, 13067, 41356, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 91240, 625, 1679, 3342, 236888, 103453, 106, 107, 105, 2364, 107, 30092, 611, 974, 506, 1237, 20720, 573, 22265, 528, 236743, 236778, 236771, 236778, 236812, 236881, 564, 236789, 236757, 6995, 496, 7946, 531, 112171, 573, 1041, 7384, 9226, 68371, 532, 1461, 531, 5571, 14069, 1056, 2263, 9766, 532, 50569, 659, 6535, 237028, 3307, 1774, 3517, 119501, 607, 176281, 236764, 532, 564, 236858, 236753, 2765, 531, 2707, 506, 3207, 1913, 102656, 236764, 919, 24636, 13144, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 7777, 1083, 623, 80199, 567, 529, 506, 1502, 529, 506, 181434, 14626, 1051, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 236774, 236785, 236756, 236770, 1641, 765, 11586, 2564, 236785, 236756, 236771, 236771, 50198, 621, 236756, 236771, 236770, 236770, 236771, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 827, 623, 7777, 1083, 623, 229398, 1799, 8799, 568, 92249, 49511, 1799, 8799, 236768, 753, 3262, 10940, 2846, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 61625, 27328, 2363, 128887, 6156, 827, 623, 7777, 1083, 623, 37892, 913, 506, 33195, 47663, 529, 22265, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236800, 236771, 827, 623, 1201, 1083, 623, 1479, 602, 2540, 6156, 827, 623, 7777, 1083, 623, 27619, 506, 1345, 529, 506, 22265, 5289, 532, 4559, 223650, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 28061, 11712, 6156, 827, 623, 7777, 1083, 623, 80199, 1090, 7683, 236789, 5726, 532, 29685, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236778, 827, 623, 1201, 1083, 623, 20918, 6156, 827, 623, 7777, 1083, 623, 6764, 33435, 1090, 22265, 236789, 236751, 59253, 529, 44506, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 22265, 236789, 236751, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 611, 2731, 822, 9226, 68371, 7946, 531, 112171, 236787, 138, 108, 236772, 5213, 4199, 8799, 236789, 236751, 6156, 66515, 6027, 236743, 236770, 138, 107, 236772, 5213, 236774, 6408, 130604, 7968, 3238, 568, 229398, 1799, 8799, 62902, 236787, 5213, 37207, 236743, 236770, 236771, 1018, 46260, 36344, 10940, 2846, 237028, 54670, 672, 3433, 532, 506, 12989, 2069, 573, 102656, 9871, 12016, 138, 107, 236772, 5213, 61625, 27328, 2363, 128887, 6156, 66515, 5365, 236743, 236770, 236771, 138, 107, 236772, 5213, 1479, 602, 2540, 6156, 66515, 5365, 236743, 236800, 236771, 138, 107, 236772, 5213, 28061, 11712, 6156, 66515, 3353, 236743, 236770, 138, 107, 236772, 5213, 20918, 6156, 66515, 5857, 236743, 236778, 138, 108, 1018, 3503, 9106, 66515, 138, 107, 236772, 5213, 77499, 176281, 568, 37207, 236743, 236770, 236771, 62902, 237028, 509, 236858, 236751, 506, 9754, 10940, 236764, 607, 9766, 236786, 3412, 2649, 6535, 573, 2668, 236761, 138, 107, 236772, 5213, 54863, 5365, 236743, 236800, 236771, 236964, 12055, 236743, 236770, 1018, 568, 1479, 602, 2540, 6156, 900, 11712, 6156, 779, 618, 1239, 3187, 11719, 64233, 532, 41580, 236761, 138, 107, 236772, 5213, 17043, 2782, 531, 3517, 66515, 138, 107, 138, 236772, 5213, 68480, 5261, 531, 3649, 5365, 1018, 568, 9900, 176281, 236764, 1680, 19771, 27328, 6156, 236768, 138, 107, 138, 236772, 5213, 68480, 3353, 531, 3649, 5142, 1018, 568, 9900, 11712, 6156, 236764, 1680, 4025, 6156, 236768, 138, 107, 138, 236772, 5213, 30902, 1018, 568, 53586, 1680, 4025, 6156, 528, 5857, 236768, 138, 108, 236814, 87032, 563, 1346, 28239, 532, 15283, 1913, 1239, 102656, 13443, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 91240, 1679, 4453, 14069, 236888, 236743, 242560, 106, 107, 105, 2364, 107, 8574, 611, 9128, 768, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 16071, 580, 496, 1237, 10940, 528, 22265, 236881, 564, 236789, 236757, 201585, 1041, 112171, 7946, 14069, 573, 5226, 5142, 237028, 9900, 11712, 6156, 840, 1680, 4025, 6156, 237028, 624, 1461, 531, 5330, 506, 1610, 9766, 532, 50569, 564, 2731, 531, 3517, 568, 5282, 506, 5906, 16939, 528, 56773, 26497, 25687, 236768, 795, 577, 1932, 236761, 3551, 1774, 7946, 691, 67509, 684, 176281, 236764, 834, 564, 236858, 236757, 1646, 4481, 15318, 672, 990, 236761, 106, 107, 105, 4368, 107, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 5213, 511, 711, 496, 1237, 10940, 528, 22265, 1018, 2721, 580, 506, 5125, 236743, 236778, 236771, 236778, 236812, 10940, 1694, 236761, 669, 2148, 10940, 1308, 11712, 6156, 568, 12055, 236743, 236770, 236768, 563, 4025, 6156, 580, 5213, 36022, 236743, 236778, 125546, 834, 822, 5226, 236772, 27403, 7946, 568, 16603, 5142, 236743, 236770, 236810, 236768, 16071, 2351, 506, 12010, 236764, 1932, 2846, 611, 236858, 500, 42351, 573, 236761, 138, 108, 1018, 3503, 26093, 66515, 138, 107, 236772, 5213, 3771, 64233, 1018, 4275, 573, 1610, 9766, 236764, 50569, 236764, 653, 9226, 7088, 580, 5142, 236743, 236770, 236810, 236761, 138, 107, 236772, 1174, 100146, 607, 506, 10325, 4771, 568, 7736, 3353, 236964, 47276, 5142, 236768, 573, 24636, 236764, 723, 47129, 7156, 9871, 528, 112171, 236761, 138, 108, 11069, 6995, 563, 7075, 236772, 498, 237028, 27403, 236743, 236770, 236810, 795, 577, 7436, 573, 16270, 26497, 1610, 9766, 532, 50569, 2180, 10940, 86557, 236761, 30164, 33036, 236764, 532, 4059, 506, 28239, 6540, 236888, 236743, 245838, 252193, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 861, 97412, 4926, 580, 6672, 14105, 19292, 607, 496, 4532, 26339, 236761, 3199, 611, 1586, 4803, 46331, 1003, 228017, 77472, 532, 992, 974, 8582, 3927, 19205, 573, 506, 1638, 10562, 531, 1460, 1144, 236789, 236751, 60194, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 607, 496, 26339, 236787, 8009, 496, 57813, 529, 59010, 129882, 573, 8744, 236761, 26079, 573, 72850, 41218, 623, 2364, 1083, 623, 60891, 85809, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236771, 827, 623, 1005, 1083, 623, 11896, 6956, 672, 861, 228017, 87097, 15028, 607, 143965, 532, 50346, 2359, 236785, 236756, 236771, 236771, 236760, 236770, 585, 236761, 49443, 236888, 997, 60891, 4830, 1808, 827, 623, 2364, 1083, 623, 25174, 703, 4036, 140628, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236770, 827, 623, 1005, 1083, 623, 818, 6789, 531, 50704, 228017, 77472, 563, 7445, 11018, 532, 711, 1024, 25421, 506, 29169, 236761, 15325, 625, 41218, 623, 2364, 1083, 623, 236799, 873, 3497, 5191, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236778, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236778, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 532, 110128, 563, 496, 9760, 14105, 13932, 236761, 3551, 3567, 6178, 31412, 52332, 110128, 236761, 122553, 41218, 623, 2364, 1083, 623, 27969, 22959, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236800, 827, 623, 1005, 1083, 623, 30988, 573, 496, 40772, 236772, 6796, 228017, 87097, 15028, 236881, 15325, 47195, 18763, 573, 496, 14788, 9302, 41218, 623, 2364, 1083, 623, 22297, 11125, 15370, 85809, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236832, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236812, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 607, 21949, 11018, 659, 506, 4011, 13932, 2980, 236761, 1593, 3735, 531, 1386, 41218, 623, 2364, 1083, 623, 59591, 211355, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236810, 827, 623, 1005, 1083, 623, 113758, 531, 4011, 1041, 228017, 87097, 15028, 236761, 7129, 11221, 580, 10264, 1091, 6962, 2180, 3978, 191373, 32109, 623, 2364, 1083, 623, 236799, 1557, 4199, 16049, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236819, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236825, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 659, 506, 1791, 1056, 1603, 607, 5756, 228017, 236761, 2301, 78393, 41218, 623, 2364, 1083, 623, 63190, 22959, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 236774, 236770, 236771, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236832, 827, 623, 1005, 1083, 623, 3910, 531, 1386, 28976, 228017, 77472, 236881, 6890, 47195, 9556, 532, 48399, 573, 506, 228017, 22784, 10498, 623, 2364, 1083, 623, 181706, 116832, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236832, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236828, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 607, 496, 92531, 529, 4326, 167130, 90927, 236761, 562, 2317, 26339, 580, 496, 9760, 41218, 623, 2364, 1083, 623, 25174, 137388, 1277, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236825, 236774, 236770, 236800, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 236779, 14423, 1083, 623, 16113, 236787, 4874, 236779, 1114, 236779, 236770, 236778, 236800, 236812, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 5503, 164457, 77472, 15028, 827, 623, 41875, 228017, 77472, 827, 623, 193166, 3117, 77472, 827, 623, 5503, 164457, 77472, 607, 110128, 827, 623, 128883, 228017, 77472, 827, 623, 24131, 68303, 532, 110128, 15028, 827, 623, 9783, 228017, 77472, 827, 623, 5503, 164457, 77472, 17945, 827, 623, 51076, 15891, 77472, 827, 623, 1674, 32873, 228017, 77472, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 506, 60194, 19317, 573, 822, 14105, 19292, 97412, 4926, 580, 228017, 77472, 236787, 108, 10354, 236743, 246533, 5213, 47619, 9526, 48993, 568, 236770, 236771, 46331, 62902, 107, 236772, 5213, 214849, 13438, 1954, 66515, 138, 107, 138, 236772, 4504, 15320, 129882, 573, 8744, 6791, 4573, 164457, 77472, 607, 496, 26339, 236787, 8009, 496, 57813, 529, 59010, 129882, 573, 8744, 1373, 138, 107, 138, 236772, 171593, 29406, 900, 50346, 2359, 7465, 6791, 11896, 6956, 672, 861, 228017, 87097, 15028, 607, 143965, 532, 50346, 2359, 7465, 236761, 49443, 26577, 138, 107, 138, 236772, 23825, 167130, 90927, 6791, 4573, 164457, 77472, 607, 496, 92531, 529, 4326, 167130, 90927, 236761, 562, 2317, 26339, 580, 496, 9760, 26577, 138, 107, 236772, 5213, 99419, 835, 43291, 847, 66515, 138, 107, 138, 236772, 163678, 236772, 6796, 236787, 623, 514, 12044, 18763, 573, 496, 14788, 9302, 236775, 138, 107, 138, 236772, 89712, 236787, 623, 514, 12044, 9556, 532, 48399, 573, 506, 228017, 22784, 236775, 138, 107, 236772, 5213, 83738, 58108, 1013, 66515, 138, 107, 138, 236772, 2024, 164457, 77472, 833, 110128, 568, 128883, 52332, 110128, 6950, 236768, 138, 107, 138, 236772, 50759, 11018, 618, 496, 70013, 6791, 50936, 13932, 2980, 1373, 138, 107, 236772, 5213, 1489, 33879, 66515, 138, 107, 138, 236772, 623, 66020, 11018, 532, 711, 1024, 25421, 506, 29169, 236775, 573, 1378, 628, 1583, 138, 107, 138, 236772, 62839, 77472, 6962, 2180, 122797, 1583, 568, 236746, 3364, 2934, 236768, 138, 108, 10354, 160450, 238178, 5213, 53824, 12808, 48993, 568, 8534, 236743, 236770, 236771, 19205, 62902, 138, 107, 236770, 236761, 2165, 5503, 164457, 77472, 15028, 236929, 138, 107, 236778, 236761, 2165, 41875, 228017, 77472, 236929, 138, 107, 236800, 236761, 2165, 193166, 3117, 77472, 236929, 138, 107, 236812, 236761, 2165, 5503, 164457, 77472, 607, 110128, 236929, 138, 107, 236810, 236761, 2165, 128883, 228017, 77472, 236929, 138, 107, 236825, 236761, 2165, 24131, 68303, 532, 110128, 15028, 236929, 138, 107, 236832, 236761, 2165, 9783, 228017, 77472, 236929, 138, 107, 236828, 236761, 2165, 5503, 164457, 77472, 17945, 236929, 138, 107, 236819, 236761, 2165, 51076, 15891, 77472, 236929, 138, 107, 236770, 236771, 236761, 2165, 1674, 32873, 228017, 77472, 236929, 138, 108, 10354, 236743, 244549, 5213, 3503, 12774, 50914, 573, 5180, 160789, 1018, 138, 107, 236772, 5213, 32899, 76589, 1018, 659, 18677, 10317, 580, 5213, 191687, 64891, 1018, 568, 1020, 1358, 236764, 110169, 37724, 236768, 532, 5213, 115828, 835, 185782, 1018, 568, 198591, 236772, 6796, 236764, 28976, 769, 138, 107, 236772, 5213, 73585, 236762, 130194, 1018, 532, 5213, 142765, 11018, 1018, 4595, 56870, 59454, 840, 607, 2978, 573, 9578, 15936, 568, 236744, 236761, 236759, 1126, 59010, 129882, 110128, 653, 52102, 236772, 142765, 11018, 769, 138, 107, 236772, 8582, 15067, 9128, 1494, 5056, 573, 5213, 236775, 41875, 236775, 1018, 532, 5213, 236775, 1674, 32873, 236775, 1018, 23642, 237028, 63914, 573, 2033, 84285, 12985, 139445, 3819, 23464, 14105, 19292, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1239, 19317, 3342, 653, 1601, 3904, 3530, 15028, 6549, 2721, 580, 1239, 15067, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 861, 97412, 4926, 580, 6672, 14105, 19292, 607, 496, 4532, 26339, 236761, 3199, 611, 1586, 4803, 46331, 1003, 228017, 77472, 532, 992, 974, 8582, 3927, 19205, 573, 506, 1638, 10562, 531, 1460, 1144, 236789, 236751, 60194, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 607, 496, 26339, 236787, 8009, 496, 57813, 529, 59010, 129882, 573, 8744, 236761, 26079, 573, 72850, 41218, 623, 2364, 1083, 623, 60891, 85809, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236771, 827, 623, 1005, 1083, 623, 11896, 6956, 672, 861, 228017, 87097, 15028, 607, 143965, 532, 50346, 2359, 236785, 236756, 236771, 236771, 236760, 236770, 585, 236761, 49443, 236888, 997, 60891, 4830, 1808, 827, 623, 2364, 1083, 623, 25174, 703, 4036, 140628, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236770, 827, 623, 1005, 1083, 623, 818, 6789, 531, 50704, 228017, 77472, 563, 7445, 11018, 532, 711, 1024, 25421, 506, 29169, 236761, 15325, 625, 41218, 623, 2364, 1083, 623, 236799, 873, 3497, 5191, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236778, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236778, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 532, 110128, 563, 496, 9760, 14105, 13932, 236761, 3551, 3567, 6178, 31412, 52332, 110128, 236761, 122553, 41218, 623, 2364, 1083, 623, 27969, 22959, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236800, 827, 623, 1005, 1083, 623, 30988, 573, 496, 40772, 236772, 6796, 228017, 87097, 15028, 236881, 15325, 47195, 18763, 573, 496, 14788, 9302, 41218, 623, 2364, 1083, 623, 22297, 11125, 15370, 85809, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236832, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236812, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 607, 21949, 11018, 659, 506, 4011, 13932, 2980, 236761, 1593, 3735, 531, 1386, 41218, 623, 2364, 1083, 623, 59591, 211355, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236810, 827, 623, 1005, 1083, 623, 113758, 531, 4011, 1041, 228017, 87097, 15028, 236761, 7129, 11221, 580, 10264, 1091, 6962, 2180, 3978, 191373, 32109, 623, 2364, 1083, 623, 236799, 1557, 4199, 16049, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236819, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236825, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 659, 506, 1791, 1056, 1603, 607, 5756, 228017, 236761, 2301, 78393, 41218, 623, 2364, 1083, 623, 63190, 22959, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 236774, 236770, 236771, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236832, 827, 623, 1005, 1083, 623, 3910, 531, 1386, 28976, 228017, 77472, 236881, 6890, 47195, 9556, 532, 48399, 573, 506, 228017, 22784, 10498, 623, 2364, 1083, 623, 181706, 116832, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236832, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236819, 236828, 827, 623, 1005, 1083, 623, 4573, 164457, 77472, 607, 496, 92531, 529, 4326, 167130, 90927, 236761, 562, 2317, 26339, 580, 496, 9760, 41218, 623, 2364, 1083, 623, 25174, 137388, 1277, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236825, 236774, 236770, 236800, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 236779, 14423, 1083, 623, 16113, 236787, 4874, 236779, 1114, 236779, 236770, 236778, 236800, 236812, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 5503, 164457, 77472, 15028, 827, 623, 41875, 228017, 77472, 827, 623, 193166, 3117, 77472, 827, 623, 5503, 164457, 77472, 607, 110128, 827, 623, 128883, 228017, 77472, 827, 623, 24131, 68303, 532, 110128, 15028, 827, 623, 9783, 228017, 77472, 827, 623, 5503, 164457, 77472, 17945, 827, 623, 51076, 15891, 77472, 827, 623, 1674, 32873, 228017, 77472, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 506, 60194, 19317, 573, 822, 14105, 19292, 97412, 4926, 580, 228017, 77472, 236787, 108, 10354, 236743, 246533, 5213, 47619, 9526, 48993, 568, 236770, 236771, 46331, 62902, 107, 236772, 5213, 214849, 13438, 1954, 66515, 138, 107, 138, 236772, 4504, 15320, 129882, 573, 8744, 6791, 4573, 164457, 77472, 607, 496, 26339, 236787, 8009, 496, 57813, 529, 59010, 129882, 573, 8744, 1373, 138, 107, 138, 236772, 171593, 29406, 900, 50346, 2359, 7465, 6791, 11896, 6956, 672, 861, 228017, 87097, 15028, 607, 143965, 532, 50346, 2359, 7465, 236761, 49443, 26577, 138, 107, 138, 236772, 23825, 167130, 90927, 6791, 4573, 164457, 77472, 607, 496, 92531, 529, 4326, 167130, 90927, 236761, 562, 2317, 26339, 580, 496, 9760, 26577, 138, 107, 236772, 5213, 99419, 835, 43291, 847, 66515, 138, 107, 138, 236772, 163678, 236772, 6796, 236787, 623, 514, 12044, 18763, 573, 496, 14788, 9302, 236775, 138, 107, 138, 236772, 89712, 236787, 623, 514, 12044, 9556, 532, 48399, 573, 506, 228017, 22784, 236775, 138, 107, 236772, 5213, 83738, 58108, 1013, 66515, 138, 107, 138, 236772, 2024, 164457, 77472, 833, 110128, 568, 128883, 52332, 110128, 6950, 236768, 138, 107, 138, 236772, 50759, 11018, 618, 496, 70013, 6791, 50936, 13932, 2980, 1373, 138, 107, 236772, 5213, 1489, 33879, 66515, 138, 107, 138, 236772, 623, 66020, 11018, 532, 711, 1024, 25421, 506, 29169, 236775, 573, 1378, 628, 1583, 138, 107, 138, 236772, 62839, 77472, 6962, 2180, 122797, 1583, 568, 236746, 3364, 2934, 236768, 138, 108, 10354, 160450, 238178, 5213, 53824, 12808, 48993, 568, 8534, 236743, 236770, 236771, 19205, 62902, 138, 107, 236770, 236761, 2165, 5503, 164457, 77472, 15028, 236929, 138, 107, 236778, 236761, 2165, 41875, 228017, 77472, 236929, 138, 107, 236800, 236761, 2165, 193166, 3117, 77472, 236929, 138, 107, 236812, 236761, 2165, 5503, 164457, 77472, 607, 110128, 236929, 138, 107, 236810, 236761, 2165, 128883, 228017, 77472, 236929, 138, 107, 236825, 236761, 2165, 24131, 68303, 532, 110128, 15028, 236929, 138, 107, 236832, 236761, 2165, 9783, 228017, 77472, 236929, 138, 107, 236828, 236761, 2165, 5503, 164457, 77472, 17945, 236929, 138, 107, 236819, 236761, 2165, 51076, 15891, 77472, 236929, 138, 107, 236770, 236771, 236761, 2165, 1674, 32873, 228017, 77472, 236929, 138, 108, 10354, 236743, 244549, 5213, 3503, 12774, 50914, 573, 5180, 160789, 1018, 138, 107, 236772, 5213, 32899, 76589, 1018, 659, 18677, 10317, 580, 5213, 191687, 64891, 1018, 568, 1020, 1358, 236764, 110169, 37724, 236768, 532, 5213, 115828, 835, 185782, 1018, 568, 198591, 236772, 6796, 236764, 28976, 769, 138, 107, 236772, 5213, 73585, 236762, 130194, 1018, 532, 5213, 142765, 11018, 1018, 4595, 56870, 59454, 840, 607, 2978, 573, 9578, 15936, 568, 236744, 236761, 236759, 1126, 59010, 129882, 110128, 653, 52102, 236772, 142765, 11018, 769, 138, 107, 236772, 8582, 15067, 9128, 1494, 5056, 573, 5213, 236775, 41875, 236775, 1018, 532, 5213, 236775, 1674, 32873, 236775, 1018, 23642, 237028, 63914, 573, 2033, 84285, 12985, 139445, 3819, 23464, 14105, 19292, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1239, 19317, 3342, 653, 1601, 3904, 3530, 15028, 6549, 2721, 580, 1239, 15067, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 1601, 8159, 2263, 1610, 4749, 532, 108364, 65283, 61500, 21637, 4972, 3541, 23770, 4085, 236764, 16586, 236761, 564, 6827, 611, 740, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 51512, 4085, 4585, 64469, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236832, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 51512, 4085, 32462, 6022, 827, 623, 7777, 1083, 623, 13149, 11421, 32545, 16236, 4146, 827, 623, 84563, 1083, 623, 2574, 1411, 5106, 187546, 236761, 854, 236786, 661, 236772, 716, 99641, 23179, 3714, 1201, 1083, 623, 13265, 198611, 65283, 61500, 9064, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 13265, 198611, 11877, 24933, 827, 623, 7777, 1083, 623, 66476, 9654, 56433, 753, 65283, 61500, 7728, 236761, 842, 236761, 156637, 89864, 827, 623, 84563, 1083, 623, 2574, 1411, 34205, 236763, 236761, 854, 236786, 1496, 198611, 23179, 3714, 1201, 1083, 623, 40703, 4585, 13944, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 170425, 23770, 4085, 827, 623, 7777, 1083, 623, 227042, 4469, 529, 130235, 532, 11321, 1610, 35490, 827, 623, 84563, 1083, 623, 15370, 2460, 753, 212182, 657, 4085, 9519, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 16038, 4749, 16590, 822, 10521, 528, 23770, 4085, 236764, 16586, 236787, 108, 245838, 5213, 13149, 4585, 31698, 66515, 107, 236770, 236761, 5213, 51512, 4085, 4585, 64469, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236787, 236800, 236771, 8711, 102775, 138, 107, 139, 244343, 23770, 4085, 32462, 6022, 138, 107, 139, 250050, 238178, 870, 70121, 236786, 5093, 5457, 2574, 1411, 5106, 187546, 236761, 854, 236786, 661, 236772, 716, 99641, 236768, 138, 108, 236778, 236761, 5213, 40703, 4585, 13944, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 102775, 138, 107, 139, 244343, 48630, 23770, 4085, 568, 54825, 657, 4085, 9519, 236768, 138, 107, 139, 250050, 238178, 9617, 2460, 138, 108, 247844, 5213, 13265, 198611, 65283, 61500, 9064, 66515, 138, 107, 236772, 5213, 204601, 61500, 7728, 236761, 842, 236761, 156637, 89864, 1018, 138, 107, 138, 249460, 5142, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 102775, 138, 107, 138, 244343, 108364, 11877, 24933, 138, 107, 138, 250050, 238178, 870, 70121, 5457, 2574, 1411, 34205, 236763, 236761, 854, 236786, 1496, 198611, 236768, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 15232, 236764, 15049, 25663, 236764, 653, 919, 4889, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 1601, 8159, 2263, 1610, 4749, 532, 108364, 65283, 61500, 21637, 4972, 3541, 23770, 4085, 236764, 16586, 236761, 564, 6827, 611, 740, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 51512, 4085, 4585, 64469, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236832, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 51512, 4085, 32462, 6022, 827, 623, 7777, 1083, 623, 13149, 11421, 32545, 16236, 4146, 827, 623, 84563, 1083, 623, 2574, 1411, 5106, 187546, 236761, 854, 236786, 661, 236772, 716, 99641, 23179, 3714, 1201, 1083, 623, 13265, 198611, 65283, 61500, 9064, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 13265, 198611, 11877, 24933, 827, 623, 7777, 1083, 623, 66476, 9654, 56433, 753, 65283, 61500, 7728, 236761, 842, 236761, 156637, 89864, 827, 623, 84563, 1083, 623, 2574, 1411, 34205, 236763, 236761, 854, 236786, 1496, 198611, 23179, 3714, 1201, 1083, 623, 40703, 4585, 13944, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 170425, 23770, 4085, 827, 623, 7777, 1083, 623, 227042, 4469, 529, 130235, 532, 11321, 1610, 35490, 827, 623, 84563, 1083, 623, 15370, 2460, 753, 212182, 657, 4085, 9519, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 16038, 4749, 16590, 822, 10521, 528, 23770, 4085, 236764, 16586, 236787, 108, 245838, 5213, 13149, 4585, 31698, 66515, 107, 236770, 236761, 5213, 51512, 4085, 4585, 64469, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236787, 236800, 236771, 8711, 102775, 138, 107, 139, 244343, 23770, 4085, 32462, 6022, 138, 107, 139, 250050, 238178, 870, 70121, 236786, 5093, 5457, 2574, 1411, 5106, 187546, 236761, 854, 236786, 661, 236772, 716, 99641, 236768, 138, 108, 236778, 236761, 5213, 40703, 4585, 13944, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 102775, 138, 107, 139, 244343, 48630, 23770, 4085, 568, 54825, 657, 4085, 9519, 236768, 138, 107, 139, 250050, 238178, 9617, 2460, 138, 108, 247844, 5213, 13265, 198611, 65283, 61500, 9064, 66515, 138, 107, 236772, 5213, 204601, 61500, 7728, 236761, 842, 236761, 156637, 89864, 1018, 138, 107, 138, 249460, 5142, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 102775, 138, 107, 138, 244343, 108364, 11877, 24933, 138, 107, 138, 250050, 238178, 870, 70121, 5457, 2574, 1411, 34205, 236763, 236761, 854, 236786, 1496, 198611, 236768, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 15232, 236764, 15049, 25663, 236764, 653, 919, 4889, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 16074, 2430, 9697, 573, 496, 6551, 850, 564, 8907, 1668, 2760, 623, 9175, 89936, 2098, 837, 1313, 1090, 2263, 1610, 52923, 532, 11858, 7088, 236761, 564, 1202, 496, 13611, 3671, 529, 1061, 3736, 1024, 506, 1774, 236743, 236800, 236771, 2668, 236764, 840, 564, 236789, 236757, 6412, 10099, 1003, 496, 4803, 12372, 528, 24074, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 506, 77002, 6376, 19455, 568, 70686, 236764, 27078, 14900, 236764, 532, 2307, 22888, 236768, 573, 506, 1774, 236743, 236800, 236771, 2668, 531, 9128, 506, 34315, 529, 672, 16670, 236761, 236743, 236778, 236761, 12067, 236764, 8701, 506, 1346, 17597, 14050, 528, 10595, 1913, 672, 2846, 531, 82387, 53552, 4342, 236761, 236743, 236800, 236761, 13472, 236764, 12270, 506, 5396, 5676, 10595, 15554, 236770, 27078, 236768, 699, 506, 1774, 236743, 236832, 2668, 531, 3050, 3530, 2430, 24764, 236761, 564, 15690, 6934, 28887, 10634, 528, 506, 850, 236789, 236751, 4563, 236772, 5140, 4065, 2473, 577, 14260, 39850, 236764, 4285, 2338, 564, 14275, 1070, 10595, 49326, 623, 49201, 19246, 236775, 1913, 1041, 1774, 8935, 7946, 531, 13600, 5741, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 194626, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 850, 236789, 236751, 4709, 31744, 568, 236744, 236761, 236759, 1126, 20456, 5853, 236768, 531, 33205, 506, 19455, 236761, 28344, 611, 2847, 506, 4453, 5853, 573, 623, 9175, 89936, 51653, 1174, 563, 3149, 573, 784, 5904, 9139, 236761, 106, 107, 105, 2364, 107, 818, 20456, 5853, 573, 4585, 89936, 563, 631, 236761, 9175, 89936, 236761, 1110, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 1032, 4889, 531, 7162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 236779, 23735, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236828, 236764, 623, 126775, 236779, 28263, 1083, 3714, 30558, 1083, 236743, 236825, 236778, 236761, 236812, 236764, 623, 45258, 1083, 236743, 236770, 236828, 236761, 236819, 236764, 623, 27851, 1083, 236743, 236770, 236828, 236761, 236832, 1263, 623, 2478, 236779, 86708, 1083, 11058, 52213, 10634, 4342, 827, 623, 82727, 19573, 19246, 827, 623, 2046, 53528, 1913, 17042, 827, 623, 57561, 2471, 13317, 14255, 623, 32320, 236779, 29263, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236770, 236778, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236770, 236828, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236825, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236825, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236800, 236832, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236810, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236812, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236812, 236810, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236812, 236770, 104960, 623, 79205, 236779, 147691, 1083, 3714, 7125, 236779, 8114, 236779, 21850, 1083, 3714, 27521, 1083, 623, 13238, 827, 623, 62580, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 1263, 623, 10212, 236779, 102229, 1083, 3714, 70353, 236779, 40400, 1083, 11058, 52213, 27552, 580, 9574, 236743, 236770, 236778, 135527, 623, 67618, 4563, 14169, 9825, 1935, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 51996, 1083, 78493, 29449, 1083, 623, 52213, 62590, 827, 623, 2861, 1083, 236743, 236770, 236778, 236832, 1263, 3714, 29449, 1083, 623, 58459, 184345, 827, 623, 2861, 1083, 236743, 236819, 236828, 1263, 3714, 29449, 1083, 623, 2046, 118576, 1808, 827, 623, 2861, 1083, 236743, 236828, 236810, 1263, 3714, 29449, 1083, 623, 5920, 36759, 827, 623, 2861, 1083, 236743, 236832, 236825, 1263, 3714, 29449, 1083, 623, 3500, 205478, 827, 623, 2861, 1083, 236743, 236825, 236828, 104960, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 1110, 236779, 547, 1083, 623, 854, 236761, 9175, 89936, 236761, 1110, 827, 623, 6725, 236779, 66850, 236779, 79082, 8562, 1083, 236743, 236828, 236812, 236778, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236770, 236953, 827, 623, 13126, 1083, 236743, 236778, 236764, 623, 1005, 1083, 623, 52213, 563, 6269, 81999, 236761, 111740, 786, 531, 506, 6133, 15707, 1806, 2782, 528, 13600, 5741, 236761, 59017, 32034, 7562, 10498, 623, 126775, 1083, 753, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236832, 236953, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 26462, 506, 67722, 30427, 236764, 840, 506, 4187, 168411, 1056, 67112, 531, 7100, 37643, 10498, 623, 126775, 1083, 236743, 236771, 236761, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236800, 236800, 236953, 827, 623, 13126, 1083, 236743, 236770, 236764, 623, 1005, 1083, 623, 199581, 14871, 850, 3785, 236761, 26660, 17539, 528, 22964, 83510, 2269, 496, 11207, 4563, 16694, 10498, 623, 126775, 1083, 753, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 1005, 1083, 623, 52213, 4342, 39220, 236761, 7323, 7562, 672, 7157, 18544, 10498, 623, 126775, 1083, 753, 236771, 236761, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236832, 236787, 236771, 236778, 236787, 236770, 236819, 236953, 827, 623, 13126, 1083, 236743, 236778, 236764, 623, 1005, 1083, 623, 100368, 3432, 11024, 659, 3187, 1135, 684, 11802, 236761, 749, 3120, 634, 2180, 11459, 17042, 10498, 623, 126775, 1083, 753, 236770, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236832, 236764, 623, 41028, 236779, 2003, 1083, 3714, 1110, 236779, 547, 1083, 623, 854, 236761, 9175, 89936, 236761, 1110, 827, 623, 1896, 236779, 8572, 1083, 3714, 2543, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 1071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 236775, 19465, 106, 107, 105, 4368, 107, 1018, 174791, 13768, 529, 4585, 89936, 568, 854, 236761, 9175, 89936, 236761, 1110, 236768, 753, 11662, 236743, 236800, 236771, 27613, 1018, 108, 7243, 108, 10354, 5213, 236770, 236761, 29669, 65252, 116589, 89254, 1018, 107, 236772, 5213, 12127, 168374, 66515, 138, 107, 138, 35089, 14470, 14205, 699, 5213, 236812, 236761, 236778, 568, 28104, 236743, 236770, 236810, 62902, 531, 5213, 236800, 236761, 236812, 568, 20123, 236743, 236770, 236810, 62902, 236764, 607, 496, 14658, 16670, 6250, 5453, 236772, 36817, 236761, 138, 107, 138, 236772, 5213, 63702, 10595, 1018, 143881, 699, 236743, 236770, 236778, 568, 28104, 236743, 236770, 236810, 236768, 531, 236743, 236812, 236810, 568, 20123, 236743, 236770, 236810, 769, 138, 107, 236772, 5213, 203481, 53575, 66515, 138, 107, 138, 63702, 27078, 4869, 699, 5213, 236770, 236778, 236761, 236812, 236908, 531, 236743, 236770, 236828, 236761, 236832, 236908, 125546, 1651, 4414, 27078, 11561, 699, 236743, 236832, 236770, 236908, 531, 236743, 236825, 236778, 236761, 236812, 9525, 138, 107, 236772, 5213, 3503, 137944, 66515, 138, 107, 138, 236772, 5213, 52213, 10634, 4342, 1018, 568, 3374, 17597, 7824, 236768, 138, 107, 138, 236772, 154162, 19573, 19246, 138, 107, 138, 236772, 2009, 53528, 1913, 17042, 138, 107, 138, 236772, 31641, 2471, 13317, 138, 108, 1018, 58972, 76374, 66515, 138, 107, 236772, 4819, 4563, 2509, 9825, 607, 614, 5213, 62580, 6317, 529, 236743, 236832, 236761, 236828, 236786, 236770, 236771, 84750, 138, 107, 236772, 32236, 236772, 15396, 28887, 4342, 236787, 138, 107, 138, 236772, 28887, 27552, 580, 9574, 236743, 236770, 236778, 236862, 138, 107, 138, 236772, 21019, 4563, 14169, 9825, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 155208, 66864, 568, 9008, 236743, 236800, 236771, 27613, 62902, 138, 107, 236909, 81073, 151, 236909, 44234, 878, 1109, 138, 107, 236909, 2819, 33129, 236909, 24912, 236909, 138, 107, 236909, 5213, 52213, 62590, 1018, 141, 236909, 236743, 236770, 236778, 236832, 142, 236909, 138, 107, 236909, 5213, 58459, 184345, 1018, 138, 236909, 236743, 236819, 236828, 143, 236909, 138, 107, 236909, 2009, 118576, 1808, 146, 236909, 236743, 236828, 236810, 143, 236909, 138, 107, 236909, 9711, 36759, 144, 236909, 236743, 236832, 236825, 143, 236909, 138, 107, 236909, 12209, 205478, 143, 236909, 236743, 236825, 236828, 143, 236909, 138, 108, 1018, 35434, 66515, 138, 107, 6375, 236772, 5140, 24764, 568, 52213, 236786, 49201, 19246, 236768, 2881, 573, 5213, 236825, 236825, 236908, 529, 784, 14050, 84750, 1174, 100146, 607, 822, 15412, 1003, 13600, 5741, 17042, 4342, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 34980, 57647, 31727, 568, 9008, 236743, 236832, 27613, 62902, 138, 107, 3503, 24764, 1003, 28887, 236787, 138, 107, 236772, 5213, 236775, 52213, 563, 6269, 81999, 236761, 111740, 786, 531, 506, 6133, 15707, 1806, 2782, 528, 13600, 5741, 1781, 1018, 138, 107, 236772, 5213, 236775, 199581, 14871, 850, 3785, 236761, 26660, 17539, 528, 22964, 83510, 2269, 496, 11207, 4563, 16694, 1781, 1018, 138, 107, 236772, 5213, 236775, 100368, 3432, 11024, 659, 3187, 1135, 684, 11802, 236761, 749, 3120, 634, 2180, 11459, 17042, 1781, 1018, 138, 108, 7243, 108, 10354, 5213, 30792, 1018, 138, 107, 818, 14470, 16670, 88435, 12117, 607, 5213, 52213, 150196, 1018, 532, 5213, 111863, 19573, 19246, 125546, 4285, 528, 11024, 1133, 13600, 5741, 532, 83510, 236761, 3143, 4342, 659, 14260, 2430, 39850, 532, 232642, 5210, 528, 506, 850, 236858, 236751, 7157, 18544, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 22282, 77372, 28887, 13582, 49048, 573, 9574, 236786, 67618, 37031, 236761, 138, 107, 236772, 78707, 4563, 1262, 573, 784, 37643, 528, 506, 201150, 7948, 236761, 138, 107, 236772, 14066, 496, 19126, 5588, 607, 9806, 3165, 12804, 573, 4563, 3019, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 19276, 3671, 529, 3530, 3165, 25716, 653, 2430, 20875, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 16074, 2430, 9697, 573, 496, 6551, 850, 564, 8907, 1668, 2760, 623, 9175, 89936, 2098, 837, 1313, 1090, 2263, 1610, 52923, 532, 11858, 7088, 236761, 564, 1202, 496, 13611, 3671, 529, 1061, 3736, 1024, 506, 1774, 236743, 236800, 236771, 2668, 236764, 840, 564, 236789, 236757, 6412, 10099, 1003, 496, 4803, 12372, 528, 24074, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 506, 77002, 6376, 19455, 568, 70686, 236764, 27078, 14900, 236764, 532, 2307, 22888, 236768, 573, 506, 1774, 236743, 236800, 236771, 2668, 531, 9128, 506, 34315, 529, 672, 16670, 236761, 236743, 236778, 236761, 12067, 236764, 8701, 506, 1346, 17597, 14050, 528, 10595, 1913, 672, 2846, 531, 82387, 53552, 4342, 236761, 236743, 236800, 236761, 13472, 236764, 12270, 506, 5396, 5676, 10595, 15554, 236770, 27078, 236768, 699, 506, 1774, 236743, 236832, 2668, 531, 3050, 3530, 2430, 24764, 236761, 564, 15690, 6934, 28887, 10634, 528, 506, 850, 236789, 236751, 4563, 236772, 5140, 4065, 2473, 577, 14260, 39850, 236764, 4285, 2338, 564, 14275, 1070, 10595, 49326, 623, 49201, 19246, 236775, 1913, 1041, 1774, 8935, 7946, 531, 13600, 5741, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 194626, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 850, 236789, 236751, 4709, 31744, 568, 236744, 236761, 236759, 1126, 20456, 5853, 236768, 531, 33205, 506, 19455, 236761, 28344, 611, 2847, 506, 4453, 5853, 573, 623, 9175, 89936, 51653, 1174, 563, 3149, 573, 784, 5904, 9139, 236761, 106, 107, 105, 2364, 107, 818, 20456, 5853, 573, 4585, 89936, 563, 631, 236761, 9175, 89936, 236761, 1110, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 1032, 4889, 531, 7162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 236779, 23735, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236828, 236764, 623, 126775, 236779, 28263, 1083, 3714, 30558, 1083, 236743, 236825, 236778, 236761, 236812, 236764, 623, 45258, 1083, 236743, 236770, 236828, 236761, 236819, 236764, 623, 27851, 1083, 236743, 236770, 236828, 236761, 236832, 1263, 623, 2478, 236779, 86708, 1083, 11058, 52213, 10634, 4342, 827, 623, 82727, 19573, 19246, 827, 623, 2046, 53528, 1913, 17042, 827, 623, 57561, 2471, 13317, 14255, 623, 32320, 236779, 29263, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236770, 236778, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236770, 236828, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236825, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236825, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236800, 236832, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236810, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 28128, 236779, 13126, 1083, 236743, 236800, 236761, 236812, 236764, 623, 27851, 236779, 66850, 1083, 236743, 236812, 236810, 236764, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236812, 236770, 104960, 623, 79205, 236779, 147691, 1083, 3714, 7125, 236779, 8114, 236779, 21850, 1083, 3714, 27521, 1083, 623, 13238, 827, 623, 62580, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 1263, 623, 10212, 236779, 102229, 1083, 3714, 70353, 236779, 40400, 1083, 11058, 52213, 27552, 580, 9574, 236743, 236770, 236778, 135527, 623, 67618, 4563, 14169, 9825, 1935, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 51996, 1083, 78493, 29449, 1083, 623, 52213, 62590, 827, 623, 2861, 1083, 236743, 236770, 236778, 236832, 1263, 3714, 29449, 1083, 623, 58459, 184345, 827, 623, 2861, 1083, 236743, 236819, 236828, 1263, 3714, 29449, 1083, 623, 2046, 118576, 1808, 827, 623, 2861, 1083, 236743, 236828, 236810, 1263, 3714, 29449, 1083, 623, 5920, 36759, 827, 623, 2861, 1083, 236743, 236832, 236825, 1263, 3714, 29449, 1083, 623, 3500, 205478, 827, 623, 2861, 1083, 236743, 236825, 236828, 104960, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 623, 1110, 236779, 547, 1083, 623, 854, 236761, 9175, 89936, 236761, 1110, 827, 623, 6725, 236779, 66850, 236779, 79082, 8562, 1083, 236743, 236828, 236812, 236778, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236770, 236953, 827, 623, 13126, 1083, 236743, 236778, 236764, 623, 1005, 1083, 623, 52213, 563, 6269, 81999, 236761, 111740, 786, 531, 506, 6133, 15707, 1806, 2782, 528, 13600, 5741, 236761, 59017, 32034, 7562, 10498, 623, 126775, 1083, 753, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236832, 236953, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 26462, 506, 67722, 30427, 236764, 840, 506, 4187, 168411, 1056, 67112, 531, 7100, 37643, 10498, 623, 126775, 1083, 236743, 236771, 236761, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236800, 236800, 236953, 827, 623, 13126, 1083, 236743, 236770, 236764, 623, 1005, 1083, 623, 199581, 14871, 850, 3785, 236761, 26660, 17539, 528, 22964, 83510, 2269, 496, 11207, 4563, 16694, 10498, 623, 126775, 1083, 753, 236770, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 1005, 1083, 623, 52213, 4342, 39220, 236761, 7323, 7562, 672, 7157, 18544, 10498, 623, 126775, 1083, 753, 236771, 236761, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236832, 236787, 236771, 236778, 236787, 236770, 236819, 236953, 827, 623, 13126, 1083, 236743, 236778, 236764, 623, 1005, 1083, 623, 100368, 3432, 11024, 659, 3187, 1135, 684, 11802, 236761, 749, 3120, 634, 2180, 11459, 17042, 10498, 623, 126775, 1083, 753, 236770, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236832, 236764, 623, 41028, 236779, 2003, 1083, 3714, 1110, 236779, 547, 1083, 623, 854, 236761, 9175, 89936, 236761, 1110, 827, 623, 1896, 236779, 8572, 1083, 3714, 2543, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 1071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 236775, 19465, 106, 107, 105, 4368, 107, 1018, 174791, 13768, 529, 4585, 89936, 568, 854, 236761, 9175, 89936, 236761, 1110, 236768, 753, 11662, 236743, 236800, 236771, 27613, 1018, 108, 7243, 108, 10354, 5213, 236770, 236761, 29669, 65252, 116589, 89254, 1018, 107, 236772, 5213, 12127, 168374, 66515, 138, 107, 138, 35089, 14470, 14205, 699, 5213, 236812, 236761, 236778, 568, 28104, 236743, 236770, 236810, 62902, 531, 5213, 236800, 236761, 236812, 568, 20123, 236743, 236770, 236810, 62902, 236764, 607, 496, 14658, 16670, 6250, 5453, 236772, 36817, 236761, 138, 107, 138, 236772, 5213, 63702, 10595, 1018, 143881, 699, 236743, 236770, 236778, 568, 28104, 236743, 236770, 236810, 236768, 531, 236743, 236812, 236810, 568, 20123, 236743, 236770, 236810, 769, 138, 107, 236772, 5213, 203481, 53575, 66515, 138, 107, 138, 63702, 27078, 4869, 699, 5213, 236770, 236778, 236761, 236812, 236908, 531, 236743, 236770, 236828, 236761, 236832, 236908, 125546, 1651, 4414, 27078, 11561, 699, 236743, 236832, 236770, 236908, 531, 236743, 236825, 236778, 236761, 236812, 9525, 138, 107, 236772, 5213, 3503, 137944, 66515, 138, 107, 138, 236772, 5213, 52213, 10634, 4342, 1018, 568, 3374, 17597, 7824, 236768, 138, 107, 138, 236772, 154162, 19573, 19246, 138, 107, 138, 236772, 2009, 53528, 1913, 17042, 138, 107, 138, 236772, 31641, 2471, 13317, 138, 108, 1018, 58972, 76374, 66515, 138, 107, 236772, 4819, 4563, 2509, 9825, 607, 614, 5213, 62580, 6317, 529, 236743, 236832, 236761, 236828, 236786, 236770, 236771, 84750, 138, 107, 236772, 32236, 236772, 15396, 28887, 4342, 236787, 138, 107, 138, 236772, 28887, 27552, 580, 9574, 236743, 236770, 236778, 236862, 138, 107, 138, 236772, 21019, 4563, 14169, 9825, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 155208, 66864, 568, 9008, 236743, 236800, 236771, 27613, 62902, 138, 107, 236909, 81073, 151, 236909, 44234, 878, 1109, 138, 107, 236909, 2819, 33129, 236909, 24912, 236909, 138, 107, 236909, 5213, 52213, 62590, 1018, 141, 236909, 236743, 236770, 236778, 236832, 142, 236909, 138, 107, 236909, 5213, 58459, 184345, 1018, 138, 236909, 236743, 236819, 236828, 143, 236909, 138, 107, 236909, 2009, 118576, 1808, 146, 236909, 236743, 236828, 236810, 143, 236909, 138, 107, 236909, 9711, 36759, 144, 236909, 236743, 236832, 236825, 143, 236909, 138, 107, 236909, 12209, 205478, 143, 236909, 236743, 236825, 236828, 143, 236909, 138, 108, 1018, 35434, 66515, 138, 107, 6375, 236772, 5140, 24764, 568, 52213, 236786, 49201, 19246, 236768, 2881, 573, 5213, 236825, 236825, 236908, 529, 784, 14050, 84750, 1174, 100146, 607, 822, 15412, 1003, 13600, 5741, 17042, 4342, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 34980, 57647, 31727, 568, 9008, 236743, 236832, 27613, 62902, 138, 107, 3503, 24764, 1003, 28887, 236787, 138, 107, 236772, 5213, 236775, 52213, 563, 6269, 81999, 236761, 111740, 786, 531, 506, 6133, 15707, 1806, 2782, 528, 13600, 5741, 1781, 1018, 138, 107, 236772, 5213, 236775, 199581, 14871, 850, 3785, 236761, 26660, 17539, 528, 22964, 83510, 2269, 496, 11207, 4563, 16694, 1781, 1018, 138, 107, 236772, 5213, 236775, 100368, 3432, 11024, 659, 3187, 1135, 684, 11802, 236761, 749, 3120, 634, 2180, 11459, 17042, 1781, 1018, 138, 108, 7243, 108, 10354, 5213, 30792, 1018, 138, 107, 818, 14470, 16670, 88435, 12117, 607, 5213, 52213, 150196, 1018, 532, 5213, 111863, 19573, 19246, 125546, 4285, 528, 11024, 1133, 13600, 5741, 532, 83510, 236761, 3143, 4342, 659, 14260, 2430, 39850, 532, 232642, 5210, 528, 506, 850, 236858, 236751, 7157, 18544, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 22282, 77372, 28887, 13582, 49048, 573, 9574, 236786, 67618, 37031, 236761, 138, 107, 236772, 78707, 4563, 1262, 573, 784, 37643, 528, 506, 201150, 7948, 236761, 138, 107, 236772, 14066, 496, 19126, 5588, 607, 9806, 3165, 12804, 573, 4563, 3019, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 19276, 3671, 529, 3530, 3165, 25716, 653, 2430, 20875, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 4106, 529, 15965, 236761, 1701, 22479, 22344, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 2509, 653, 32579, 4456, 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 ]
[ 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, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 4106, 529, 15965, 236761, 1701, 22479, 22344, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 2509, 653, 32579, 4456, 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, 3399, 2197, 91624, 532, 24564, 5888, 672, 8224, 657, 506, 24613, 11493, 6022, 54447, 236764, 840, 692, 1202, 531, 10741, 684, 16922, 3363, 531, 2827, 625, 44081, 236761, 5315, 236764, 740, 611, 2426, 506, 5213, 67655, 4022, 532, 6425, 2890, 1018, 528, 24613, 573, 8224, 12399, 236881, 1637, 625, 236789, 236751, 5213, 60096, 236743, 236825, 236810, 237366, 236811, 653, 1024, 236743, 236832, 236771, 236908, 6425, 2890, 125546, 692, 236858, 859, 8633, 531, 506, 155848, 236764, 532, 564, 236858, 859, 1202, 531, 6253, 506, 6831, 531, 3710, 1099, 19292, 1699, 2263, 143965, 236761, 1637, 625, 236858, 236751, 3582, 532, 2787, 236743, 236825, 236810, 237366, 236811, 236764, 564, 236858, 859, 2514, 625, 19850, 532, 4866, 170738, 236772, 5140, 5312, 69677, 236761, 5213, 11407, 125546, 17194, 529, 506, 1354, 236764, 564, 1461, 531, 1502, 6995, 1023, 3798, 24564, 7946, 531, 13251, 4085, 236761, 7179, 910, 5213, 28128, 1494, 4022, 573, 6198, 1018, 531, 1281, 1144, 13290, 531, 3600, 573, 506, 2299, 236761, 6890, 506, 1638, 5904, 573, 1800, 6555, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236832, 236778, 236764, 623, 12138, 236779, 4711, 236779, 18223, 1083, 236743, 236810, 236810, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236812, 236828, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 236761, 236770, 236764, 623, 52511, 1083, 623, 7783, 586, 35898, 827, 623, 7125, 1083, 623, 104513, 236764, 56122, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236825, 236828, 236764, 623, 77269, 1083, 236743, 236810, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236810, 44269, 827, 623, 12138, 236779, 4711, 1083, 236743, 236800, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 1202, 573, 1800, 9886, 236787, 108, 1018, 104513, 8224, 145984, 28789, 53121, 107, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 236772, 16215, 20864, 236787, 236743, 236810, 236810, 236908, 568, 7783, 586, 35898, 236768, 107, 236772, 74544, 236787, 216726, 35898, 607, 2214, 29146, 568, 236828, 236761, 236770, 44269, 236768, 108, 10081, 11139, 659, 2787, 236743, 236825, 236810, 237366, 236811, 532, 6425, 2890, 563, 3426, 236743, 236832, 236771, 10014, 611, 740, 21236, 2514, 506, 2460, 19850, 528, 506, 54447, 236761, 101685, 607, 17373, 170738, 236772, 5140, 5312, 69677, 236761, 108, 1018, 85226, 4085, 6198, 29748, 4819, 53121, 107, 236772, 35267, 236787, 236743, 236825, 236828, 237366, 236811, 107, 236772, 59086, 32288, 236787, 84432, 607, 22043, 35898, 55748, 568, 236800, 236771, 236908, 6425, 2890, 236768, 108, 2542, 506, 3798, 24564, 7946, 236764, 3600, 30295, 12627, 568, 3223, 60084, 573, 76831, 236768, 532, 9650, 9378, 11795, 236761, 669, 7606, 1374, 577, 23850, 573, 11690, 5085, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 1027, 4767, 4889, 573, 3477, 2460, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 2197, 91624, 532, 24564, 5888, 672, 8224, 657, 506, 24613, 11493, 6022, 54447, 236764, 840, 692, 1202, 531, 10741, 684, 16922, 3363, 531, 2827, 625, 44081, 236761, 5315, 236764, 740, 611, 2426, 506, 5213, 67655, 4022, 532, 6425, 2890, 1018, 528, 24613, 573, 8224, 12399, 236881, 1637, 625, 236789, 236751, 5213, 60096, 236743, 236825, 236810, 237366, 236811, 653, 1024, 236743, 236832, 236771, 236908, 6425, 2890, 125546, 692, 236858, 859, 8633, 531, 506, 155848, 236764, 532, 564, 236858, 859, 1202, 531, 6253, 506, 6831, 531, 3710, 1099, 19292, 1699, 2263, 143965, 236761, 1637, 625, 236858, 236751, 3582, 532, 2787, 236743, 236825, 236810, 237366, 236811, 236764, 564, 236858, 859, 2514, 625, 19850, 532, 4866, 170738, 236772, 5140, 5312, 69677, 236761, 5213, 11407, 125546, 17194, 529, 506, 1354, 236764, 564, 1461, 531, 1502, 6995, 1023, 3798, 24564, 7946, 531, 13251, 4085, 236761, 7179, 910, 5213, 28128, 1494, 4022, 573, 6198, 1018, 531, 1281, 1144, 13290, 531, 3600, 573, 506, 2299, 236761, 6890, 506, 1638, 5904, 573, 1800, 6555, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236832, 236778, 236764, 623, 12138, 236779, 4711, 236779, 18223, 1083, 236743, 236810, 236810, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236812, 236828, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 236761, 236770, 236764, 623, 52511, 1083, 623, 7783, 586, 35898, 827, 623, 7125, 1083, 623, 104513, 236764, 56122, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236825, 236828, 236764, 623, 77269, 1083, 236743, 236810, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236810, 44269, 827, 623, 12138, 236779, 4711, 1083, 236743, 236800, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 1202, 573, 1800, 9886, 236787, 108, 1018, 104513, 8224, 145984, 28789, 53121, 107, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 236772, 16215, 20864, 236787, 236743, 236810, 236810, 236908, 568, 7783, 586, 35898, 236768, 107, 236772, 74544, 236787, 216726, 35898, 607, 2214, 29146, 568, 236828, 236761, 236770, 44269, 236768, 108, 10081, 11139, 659, 2787, 236743, 236825, 236810, 237366, 236811, 532, 6425, 2890, 563, 3426, 236743, 236832, 236771, 10014, 611, 740, 21236, 2514, 506, 2460, 19850, 528, 506, 54447, 236761, 101685, 607, 17373, 170738, 236772, 5140, 5312, 69677, 236761, 108, 1018, 85226, 4085, 6198, 29748, 4819, 53121, 107, 236772, 35267, 236787, 236743, 236825, 236828, 237366, 236811, 107, 236772, 59086, 32288, 236787, 84432, 607, 22043, 35898, 55748, 568, 236800, 236771, 236908, 6425, 2890, 236768, 108, 2542, 506, 3798, 24564, 7946, 236764, 3600, 30295, 12627, 568, 3223, 60084, 573, 76831, 236768, 532, 9650, 9378, 11795, 236761, 669, 7606, 1374, 577, 23850, 573, 11690, 5085, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 1027, 4767, 4889, 573, 3477, 2460, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236858, 560, 1010, 6972, 1003, 192643, 1041, 17461, 532, 82043, 3324, 1070, 26916, 61145, 4699, 600, 2473, 8913, 607, 496, 3399, 1610, 2203, 564, 236858, 236757, 6995, 236761, 564, 6827, 40732, 1451, 577, 496, 1535, 21986, 529, 10385, 4699, 236761, 3574, 611, 735, 1027, 11858, 30627, 1262, 573, 1903, 236772, 68219, 26916, 4699, 528, 506, 11675, 653, 14896, 18597, 236881, 564, 236858, 236757, 711, 2889, 837, 3530, 4699, 531, 1385, 657, 236764, 840, 564, 236858, 236753, 1133, 531, 1460, 15067, 1024, 506, 3068, 2321, 1518, 531, 1386, 614, 13819, 4893, 236761, 3792, 786, 1281, 1144, 611, 740, 3137, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 1516, 1083, 78493, 25385, 236779, 1201, 1083, 623, 133727, 35485, 2372, 10498, 623, 22037, 1083, 623, 236773, 11448, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236778, 236810, 236761, 236812, 236764, 623, 32320, 236779, 4177, 236779, 18223, 1083, 10955, 236778, 236761, 236770, 70887, 623, 131770, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 57512, 1083, 623, 166470, 23179, 3714, 25385, 236779, 1201, 1083, 623, 147261, 18671, 23566, 827, 623, 22037, 1083, 623, 236823, 5911, 827, 623, 4002, 236779, 9707, 1083, 236743, 236828, 236819, 236761, 236832, 236810, 236764, 623, 32320, 236779, 4177, 236779, 18223, 1083, 9296, 236771, 236761, 236828, 70887, 623, 131770, 236779, 20845, 1083, 236743, 236819, 236810, 236771, 236771, 236771, 236771, 236764, 623, 57512, 1083, 623, 69416, 25938, 1604, 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, 827, 623, 14210, 1083, 623, 100368, 30627, 1262, 711, 5012, 528, 672, 31466, 236761, 6890, 974, 236779, 167648, 236779, 18308, 5904, 573, 9813, 30627, 1938, 1781, 236783, 106, 107, 105, 4368, 107, 2021, 33205, 506, 11858, 30627, 1262, 573, 506, 8385, 4699, 528, 506, 35485, 532, 10856, 18597, 568, 133727, 35485, 2372, 236761, 870, 236773, 11448, 236842, 532, 26291, 18671, 23566, 870, 236823, 5911, 18107, 564, 1202, 910, 5213, 20738, 2544, 62606, 1018, 699, 88136, 1348, 575, 236858, 236751, 1458, 236761, 20044, 236764, 506, 2436, 1262, 3072, 1677, 711, 3204, 1239, 62606, 236761, 236743, 108, 30092, 611, 2847, 506, 5213, 25385, 62606, 1018, 573, 111838, 532, 158849, 236881, 1637, 611, 1537, 236858, 236745, 735, 1091, 236764, 611, 740, 1586, 1091, 580, 870, 236774, 553, 1348, 575, 236858, 236751, 5125, 2544, 38332, 5457, 2574, 1411, 2769, 236761, 204360, 1348, 575, 236761, 854, 236761, 4834, 31004, 653, 1531, 786, 1281, 768, 611, 236858, 236753, 1133, 14984, 580, 76727, 1091, 236761, 9920, 564, 735, 506, 62606, 236764, 564, 740, 12270, 506, 30627, 4083, 573, 611, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236858, 560, 1010, 6972, 1003, 192643, 1041, 17461, 532, 82043, 3324, 1070, 26916, 61145, 4699, 600, 2473, 8913, 607, 496, 3399, 1610, 2203, 564, 236858, 236757, 6995, 236761, 564, 6827, 40732, 1451, 577, 496, 1535, 21986, 529, 10385, 4699, 236761, 3574, 611, 735, 1027, 11858, 30627, 1262, 573, 1903, 236772, 68219, 26916, 4699, 528, 506, 11675, 653, 14896, 18597, 236881, 564, 236858, 236757, 711, 2889, 837, 3530, 4699, 531, 1385, 657, 236764, 840, 564, 236858, 236753, 1133, 531, 1460, 15067, 1024, 506, 3068, 2321, 1518, 531, 1386, 614, 13819, 4893, 236761, 3792, 786, 1281, 1144, 611, 740, 3137, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 1516, 1083, 78493, 25385, 236779, 1201, 1083, 623, 133727, 35485, 2372, 10498, 623, 22037, 1083, 623, 236773, 11448, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236778, 236810, 236761, 236812, 236764, 623, 32320, 236779, 4177, 236779, 18223, 1083, 10955, 236778, 236761, 236770, 70887, 623, 131770, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 57512, 1083, 623, 166470, 23179, 3714, 25385, 236779, 1201, 1083, 623, 147261, 18671, 23566, 827, 623, 22037, 1083, 623, 236823, 5911, 827, 623, 4002, 236779, 9707, 1083, 236743, 236828, 236819, 236761, 236832, 236810, 236764, 623, 32320, 236779, 4177, 236779, 18223, 1083, 9296, 236771, 236761, 236828, 70887, 623, 131770, 236779, 20845, 1083, 236743, 236819, 236810, 236771, 236771, 236771, 236771, 236764, 623, 57512, 1083, 623, 69416, 25938, 1604, 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, 827, 623, 14210, 1083, 623, 100368, 30627, 1262, 711, 5012, 528, 672, 31466, 236761, 6890, 974, 236779, 167648, 236779, 18308, 5904, 573, 9813, 30627, 1938, 1781, 236783, 106, 107, 105, 4368, 107, 2021, 33205, 506, 11858, 30627, 1262, 573, 506, 8385, 4699, 528, 506, 35485, 532, 10856, 18597, 568, 133727, 35485, 2372, 236761, 870, 236773, 11448, 236842, 532, 26291, 18671, 23566, 870, 236823, 5911, 18107, 564, 1202, 910, 5213, 20738, 2544, 62606, 1018, 699, 88136, 1348, 575, 236858, 236751, 1458, 236761, 20044, 236764, 506, 2436, 1262, 3072, 1677, 711, 3204, 1239, 62606, 236761, 236743, 108, 30092, 611, 2847, 506, 5213, 25385, 62606, 1018, 573, 111838, 532, 158849, 236881, 1637, 611, 1537, 236858, 236745, 735, 1091, 236764, 611, 740, 1586, 1091, 580, 870, 236774, 553, 1348, 575, 236858, 236751, 5125, 2544, 38332, 5457, 2574, 1411, 2769, 236761, 204360, 1348, 575, 236761, 854, 236761, 4834, 31004, 653, 1531, 786, 1281, 768, 611, 236858, 236753, 1133, 14984, 580, 76727, 1091, 236761, 9920, 564, 735, 506, 62606, 236764, 564, 740, 12270, 506, 30627, 4083, 573, 611, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 531, 2426, 855, 614, 1610, 15707, 528, 10561, 672, 9735, 236761, 3199, 611, 1601, 786, 1586, 506, 20480, 8217, 531, 506, 24119, 1610, 15707, 528, 506, 2433, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 8701, 1610, 54828, 653, 910, 11024, 528, 10561, 236761, 669, 2487, 6436, 1186, 6060, 1960, 49266, 568, 31048, 8038, 35129, 779, 8217, 236786, 45614, 33417, 568, 7650, 7087, 15375, 779, 1491, 149341, 1759, 9350, 1262, 236764, 532, 4867, 15621, 236761, 2282, 1601, 611, 1586, 506, 20480, 8217, 531, 614, 1610, 15707, 236764, 564, 1093, 1202, 3477, 236787, 107, 236770, 236761, 669, 3530, 1463, 236786, 7720, 529, 506, 1610, 15707, 611, 236789, 500, 16270, 236764, 653, 107, 236778, 236761, 9567, 40899, 236786, 41713, 15375, 108, 30092, 611, 2847, 672, 1938, 236881, 41433, 236764, 768, 611, 236789, 236753, 1133, 531, 3927, 573, 1610, 54828, 1699, 2264, 1996, 236764, 1531, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 1771, 531, 506, 4585, 7955, 529, 10561, 236761, 3199, 611, 1586, 506, 20480, 8217, 531, 600, 3421, 236881, 106, 107, 105, 4368, 107, 818, 4585, 7955, 529, 10561, 563, 5628, 657, 8296, 5213, 236812, 236770, 236761, 236828, 236828, 236770, 236828, 237366, 646, 40899, 1018, 532, 5213, 236772, 236828, 236832, 236761, 236825, 236778, 236800, 236770, 237366, 649, 50550, 84750, 2282, 1586, 506, 20480, 8217, 236764, 564, 1202, 531, 1281, 506, 5213, 42409, 3927, 5149, 528, 35769, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236810, 7251, 573, 14942, 20736, 769, 7323, 20193, 672, 1550, 834, 564, 740, 7162, 607, 506, 3927, 236761, 106, 107, 105, 2364, 107, 19058, 236764, 1531, 236789, 236751, 2426, 2351, 496, 236743, 236810, 88197, 12425, 236761, 2981, 1374, 577, 3107, 3487, 573, 506, 20480, 20736, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 202796, 1083, 78493, 1201, 1083, 623, 818, 20410, 3700, 10561, 827, 623, 7720, 1083, 623, 236800, 236800, 236771, 646, 179480, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236770, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236800, 236810, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 82505, 1108, 10561, 827, 623, 7720, 1083, 623, 236832, 236778, 236771, 555, 15786, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236810, 827, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236800, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236828, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 27899, 1667, 120164, 10561, 827, 623, 7720, 1083, 623, 236770, 236810, 236770, 645, 649, 20026, 3587, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236800, 236771, 236771, 236761, 236771, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 20480, 20736, 2351, 496, 236743, 236810, 7251, 568, 240443, 236800, 236761, 236770, 7635, 236768, 12425, 529, 506, 4585, 7955, 529, 10561, 236787, 108, 236770, 236761, 5213, 818, 20410, 3700, 10561, 1018, 138, 107, 139, 244343, 236743, 236800, 236800, 236771, 646, 179480, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236770, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 1109, 236743, 244314, 609, 236800, 236810, 236771, 236786, 9467, 1109, 236743, 248206, 236743, 236770, 236761, 236778, 7635, 3121, 138, 108, 236778, 236761, 5213, 27899, 1667, 120164, 10561, 1018, 138, 107, 139, 244343, 236743, 236770, 236810, 236770, 645, 649, 20026, 3587, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 1109, 236743, 244314, 609, 236800, 236771, 236771, 236786, 9467, 1109, 236743, 248206, 236743, 236770, 236761, 236810, 7635, 3121, 138, 108, 236800, 236761, 5213, 82505, 1108, 10561, 1018, 138, 107, 139, 244343, 236743, 236832, 236778, 236771, 555, 15786, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236810, 138, 107, 139, 240281, 236743, 236812, 236761, 236812, 1109, 236743, 244314, 609, 236778, 236828, 236771, 236786, 9467, 1109, 236743, 248206, 236743, 236778, 236761, 236800, 7635, 3121, 138, 108, 3243, 3835, 659, 48538, 5628, 3541, 506, 14871, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 22479, 653, 1202, 4767, 4889, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 531, 2426, 855, 614, 1610, 15707, 528, 10561, 672, 9735, 236761, 3199, 611, 1601, 786, 1586, 506, 20480, 8217, 531, 506, 24119, 1610, 15707, 528, 506, 2433, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 8701, 1610, 54828, 653, 910, 11024, 528, 10561, 236761, 669, 2487, 6436, 1186, 6060, 1960, 49266, 568, 31048, 8038, 35129, 779, 8217, 236786, 45614, 33417, 568, 7650, 7087, 15375, 779, 1491, 149341, 1759, 9350, 1262, 236764, 532, 4867, 15621, 236761, 2282, 1601, 611, 1586, 506, 20480, 8217, 531, 614, 1610, 15707, 236764, 564, 1093, 1202, 3477, 236787, 107, 236770, 236761, 669, 3530, 1463, 236786, 7720, 529, 506, 1610, 15707, 611, 236789, 500, 16270, 236764, 653, 107, 236778, 236761, 9567, 40899, 236786, 41713, 15375, 108, 30092, 611, 2847, 672, 1938, 236881, 41433, 236764, 768, 611, 236789, 236753, 1133, 531, 3927, 573, 1610, 54828, 1699, 2264, 1996, 236764, 1531, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 1771, 531, 506, 4585, 7955, 529, 10561, 236761, 3199, 611, 1586, 506, 20480, 8217, 531, 600, 3421, 236881, 106, 107, 105, 4368, 107, 818, 4585, 7955, 529, 10561, 563, 5628, 657, 8296, 5213, 236812, 236770, 236761, 236828, 236828, 236770, 236828, 237366, 646, 40899, 1018, 532, 5213, 236772, 236828, 236832, 236761, 236825, 236778, 236800, 236770, 237366, 649, 50550, 84750, 2282, 1586, 506, 20480, 8217, 236764, 564, 1202, 531, 1281, 506, 5213, 42409, 3927, 5149, 528, 35769, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236810, 7251, 573, 14942, 20736, 769, 7323, 20193, 672, 1550, 834, 564, 740, 7162, 607, 506, 3927, 236761, 106, 107, 105, 2364, 107, 19058, 236764, 1531, 236789, 236751, 2426, 2351, 496, 236743, 236810, 88197, 12425, 236761, 2981, 1374, 577, 3107, 3487, 573, 506, 20480, 20736, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 202796, 1083, 78493, 1201, 1083, 623, 818, 20410, 3700, 10561, 827, 623, 7720, 1083, 623, 236800, 236800, 236771, 646, 179480, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236770, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236800, 236810, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 82505, 1108, 10561, 827, 623, 7720, 1083, 623, 236832, 236778, 236771, 555, 15786, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236810, 827, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236800, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236828, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 27899, 1667, 120164, 10561, 827, 623, 7720, 1083, 623, 236770, 236810, 236770, 645, 649, 20026, 3587, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 827, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236800, 236771, 236771, 236761, 236771, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 20480, 20736, 2351, 496, 236743, 236810, 7251, 568, 240443, 236800, 236761, 236770, 7635, 236768, 12425, 529, 506, 4585, 7955, 529, 10561, 236787, 108, 236770, 236761, 5213, 818, 20410, 3700, 10561, 1018, 138, 107, 139, 244343, 236743, 236800, 236800, 236771, 646, 179480, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236770, 236770, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 1109, 236743, 244314, 609, 236800, 236810, 236771, 236786, 9467, 1109, 236743, 248206, 236743, 236770, 236761, 236778, 7635, 3121, 138, 108, 236778, 236761, 5213, 27899, 1667, 120164, 10561, 1018, 138, 107, 139, 244343, 236743, 236770, 236810, 236770, 645, 649, 20026, 3587, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236770, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 1109, 236743, 244314, 609, 236800, 236771, 236771, 236786, 9467, 1109, 236743, 248206, 236743, 236770, 236761, 236810, 7635, 3121, 138, 108, 236800, 236761, 5213, 82505, 1108, 10561, 1018, 138, 107, 139, 244343, 236743, 236832, 236778, 236771, 555, 15786, 18977, 236764, 10561, 236764, 15237, 236743, 236825, 236771, 236825, 236771, 236810, 138, 107, 139, 240281, 236743, 236812, 236761, 236812, 1109, 236743, 244314, 609, 236778, 236828, 236771, 236786, 9467, 1109, 236743, 248206, 236743, 236778, 236761, 236800, 7635, 3121, 138, 108, 3243, 3835, 659, 48538, 5628, 3541, 506, 14871, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 22479, 653, 1202, 4767, 4889, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 496, 27893, 13234, 528, 506, 10892, 17694, 600, 815, 62913, 4106, 532, 1813, 7021, 236761, 3199, 611, 2731, 496, 9116, 699, 1041, 2033, 531, 1288, 496, 13234, 236881, 106, 107, 105, 4368, 107, 2021, 2731, 496, 9116, 699, 822, 2033, 531, 496, 27893, 13234, 528, 506, 10892, 17694, 607, 62913, 4106, 532, 1813, 7021, 236764, 564, 236789, 859, 1202, 822, 5213, 52167, 15375, 1018, 568, 37673, 236786, 41713, 236768, 653, 3421, 236761, 20044, 236764, 506, 6436, 2487, 740, 236789, 236745, 2881, 573, 62913, 4106, 653, 1813, 7021, 5467, 236764, 618, 901, 3213, 580, 9116, 18271, 532, 17042, 236761, 3153, 236764, 564, 740, 1601, 611, 5370, 496, 186102, 528, 506, 10892, 17694, 4128, 236761, 236743, 108, 14946, 611, 2847, 822, 6250, 4563, 236764, 564, 236789, 859, 8729, 496, 9204, 9116, 531, 496, 186102, 528, 506, 2433, 236761, 1701, 3530, 13234, 4065, 1133, 23791, 653, 1813, 7021, 236764, 564, 5840, 16329, 2263, 13234, 26309, 568, 236744, 236761, 236759, 1126, 2343, 178179, 236764, 9539, 36962, 833, 39412, 236768, 1308, 22451, 506, 9116, 236761, 236743, 108, 9366, 4024, 822, 6250, 15375, 653, 3421, 236888, 106, 107, 105, 2364, 107, 236777, 3892, 657, 236743, 236770, 236778, 236800, 109619, 39133, 236764, 5054, 22982, 236764, 27608, 236743, 236832, 236828, 236778, 236771, 236812, 236761, 3792, 236789, 236751, 1161, 600, 618, 506, 6250, 1523, 236761, 1701, 506, 13234, 236764, 564, 5630, 6013, 1003, 496, 9116, 3541, 88473, 7940, 14795, 14133, 600, 815, 1535, 23791, 532, 496, 28594, 49742, 236761, 3199, 611, 8541, 15232, 993, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16730, 1083, 78493, 17178, 1083, 236743, 236800, 236778, 236832, 236828, 236819, 236761, 236770, 236764, 623, 19001, 1083, 236743, 236770, 236828, 236812, 236778, 236761, 236800, 236764, 623, 34343, 1083, 3714, 2084, 1083, 623, 4539, 1859, 827, 623, 56220, 1083, 15385, 236772, 236819, 236828, 236761, 236812, 236819, 236770, 236810, 236764, 236743, 236778, 236819, 236761, 236812, 236778, 236812, 236828, 1604, 33368, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 10660, 1263, 623, 25438, 1083, 78493, 17178, 1083, 236743, 236770, 236778, 236810, 236771, 236761, 236812, 236764, 623, 19001, 1083, 236743, 236832, 236778, 236761, 236770, 236764, 623, 1562, 17485, 595, 1083, 3714, 7125, 1083, 33368, 236819, 236828, 236761, 236812, 236819, 236770, 236810, 236764, 236743, 236778, 236819, 236761, 236812, 236778, 236812, 236828, 1604, 623, 22768, 1083, 623, 18807, 52024, 580, 6400, 842, 236775, 5237, 3714, 17178, 1083, 236743, 236800, 236770, 236810, 236800, 236828, 236761, 236832, 236764, 623, 19001, 1083, 236743, 236770, 236832, 236832, 236771, 236761, 236778, 236764, 623, 1562, 17485, 595, 1083, 3714, 7125, 1083, 33368, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 1604, 623, 22768, 1083, 623, 2023, 6333, 657, 12892, 127096, 21111, 1604, 623, 141049, 1083, 78493, 7125, 1083, 33368, 236819, 236828, 236761, 236812, 236819, 236770, 236810, 236764, 236743, 236778, 236819, 236761, 236812, 236778, 236812, 236828, 1604, 623, 1201, 1083, 623, 6302, 10654, 23179, 3714, 7125, 1083, 33368, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 1604, 623, 1201, 1083, 623, 7315, 10654, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9204, 9116, 699, 822, 2033, 531, 506, 88473, 7940, 14795, 14133, 186102, 236787, 108, 1018, 43812, 15874, 53121, 236743, 236770, 236778, 236800, 109619, 39133, 236764, 5054, 22982, 236764, 27608, 236743, 236832, 236828, 236778, 236771, 236812, 138, 107, 1018, 54418, 53121, 88473, 7940, 14795, 14133, 186102, 568, 17868, 236761, 15375, 753, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 236768, 138, 108, 1018, 6870, 25252, 53121, 138, 107, 236772, 5213, 23258, 53121, 2578, 236778, 236771, 236761, 236812, 7635, 138, 107, 236772, 5213, 21160, 53121, 2578, 236800, 236771, 236761, 236832, 4310, 138, 107, 236772, 5213, 3503, 87789, 53121, 138, 107, 138, 236770, 236761, 10901, 52024, 580, 6400, 842, 568, 504, 506, 4068, 59438, 699, 822, 2033, 769, 138, 107, 138, 236778, 236761, 22177, 506, 9116, 3097, 32643, 657, 506, 186102, 236761, 138, 108, 1018, 9473, 53121, 138, 107, 818, 9116, 5132, 2490, 236772, 2003, 236772, 887, 17042, 532, 496, 2587, 21385, 529, 506, 2479, 236761, 5978, 506, 5904, 4038, 236858, 236745, 10916, 2881, 573, 62913, 4106, 653, 1813, 7021, 236764, 506, 88473, 7940, 14795, 14133, 563, 3224, 573, 1061, 170353, 20874, 532, 28594, 155107, 236761, 9920, 993, 236764, 2426, 2263, 13234, 13571, 568, 236744, 236761, 236759, 1126, 194232, 516, 5796, 236858, 236751, 24682, 4456, 236768, 531, 29888, 62913, 16746, 532, 1813, 4065, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 30981, 653, 4767, 4889, 236888, 236743, 246487, 478, 397, 392, 414, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 496, 27893, 13234, 528, 506, 10892, 17694, 600, 815, 62913, 4106, 532, 1813, 7021, 236761, 3199, 611, 2731, 496, 9116, 699, 1041, 2033, 531, 1288, 496, 13234, 236881, 106, 107, 105, 4368, 107, 2021, 2731, 496, 9116, 699, 822, 2033, 531, 496, 27893, 13234, 528, 506, 10892, 17694, 607, 62913, 4106, 532, 1813, 7021, 236764, 564, 236789, 859, 1202, 822, 5213, 52167, 15375, 1018, 568, 37673, 236786, 41713, 236768, 653, 3421, 236761, 20044, 236764, 506, 6436, 2487, 740, 236789, 236745, 2881, 573, 62913, 4106, 653, 1813, 7021, 5467, 236764, 618, 901, 3213, 580, 9116, 18271, 532, 17042, 236761, 3153, 236764, 564, 740, 1601, 611, 5370, 496, 186102, 528, 506, 10892, 17694, 4128, 236761, 236743, 108, 14946, 611, 2847, 822, 6250, 4563, 236764, 564, 236789, 859, 8729, 496, 9204, 9116, 531, 496, 186102, 528, 506, 2433, 236761, 1701, 3530, 13234, 4065, 1133, 23791, 653, 1813, 7021, 236764, 564, 5840, 16329, 2263, 13234, 26309, 568, 236744, 236761, 236759, 1126, 2343, 178179, 236764, 9539, 36962, 833, 39412, 236768, 1308, 22451, 506, 9116, 236761, 236743, 108, 9366, 4024, 822, 6250, 15375, 653, 3421, 236888, 106, 107, 105, 2364, 107, 236777, 3892, 657, 236743, 236770, 236778, 236800, 109619, 39133, 236764, 5054, 22982, 236764, 27608, 236743, 236832, 236828, 236778, 236771, 236812, 236761, 3792, 236789, 236751, 1161, 600, 618, 506, 6250, 1523, 236761, 1701, 506, 13234, 236764, 564, 5630, 6013, 1003, 496, 9116, 3541, 88473, 7940, 14795, 14133, 600, 815, 1535, 23791, 532, 496, 28594, 49742, 236761, 3199, 611, 8541, 15232, 993, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16730, 1083, 78493, 17178, 1083, 236743, 236800, 236778, 236832, 236828, 236819, 236761, 236770, 236764, 623, 19001, 1083, 236743, 236770, 236828, 236812, 236778, 236761, 236800, 236764, 623, 34343, 1083, 3714, 2084, 1083, 623, 4539, 1859, 827, 623, 56220, 1083, 15385, 236772, 236819, 236828, 236761, 236812, 236819, 236770, 236810, 236764, 236743, 236778, 236819, 236761, 236812, 236778, 236812, 236828, 1604, 33368, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 10660, 1263, 623, 25438, 1083, 78493, 17178, 1083, 236743, 236770, 236778, 236810, 236771, 236761, 236812, 236764, 623, 19001, 1083, 236743, 236832, 236778, 236761, 236770, 236764, 623, 1562, 17485, 595, 1083, 3714, 7125, 1083, 33368, 236819, 236828, 236761, 236812, 236819, 236770, 236810, 236764, 236743, 236778, 236819, 236761, 236812, 236778, 236812, 236828, 1604, 623, 22768, 1083, 623, 18807, 52024, 580, 6400, 842, 236775, 5237, 3714, 17178, 1083, 236743, 236800, 236770, 236810, 236800, 236828, 236761, 236832, 236764, 623, 19001, 1083, 236743, 236770, 236832, 236832, 236771, 236761, 236778, 236764, 623, 1562, 17485, 595, 1083, 3714, 7125, 1083, 33368, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 1604, 623, 22768, 1083, 623, 2023, 6333, 657, 12892, 127096, 21111, 1604, 623, 141049, 1083, 78493, 7125, 1083, 33368, 236819, 236828, 236761, 236812, 236819, 236770, 236810, 236764, 236743, 236778, 236819, 236761, 236812, 236778, 236812, 236828, 1604, 623, 1201, 1083, 623, 6302, 10654, 23179, 3714, 7125, 1083, 33368, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 1604, 623, 1201, 1083, 623, 7315, 10654, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9204, 9116, 699, 822, 2033, 531, 506, 88473, 7940, 14795, 14133, 186102, 236787, 108, 1018, 43812, 15874, 53121, 236743, 236770, 236778, 236800, 109619, 39133, 236764, 5054, 22982, 236764, 27608, 236743, 236832, 236828, 236778, 236771, 236812, 138, 107, 1018, 54418, 53121, 88473, 7940, 14795, 14133, 186102, 568, 17868, 236761, 15375, 753, 236819, 236828, 236761, 236810, 236800, 236800, 236825, 236764, 236743, 236778, 236819, 236761, 236812, 236800, 236819, 236828, 236768, 138, 108, 1018, 6870, 25252, 53121, 138, 107, 236772, 5213, 23258, 53121, 2578, 236778, 236771, 236761, 236812, 7635, 138, 107, 236772, 5213, 21160, 53121, 2578, 236800, 236771, 236761, 236832, 4310, 138, 107, 236772, 5213, 3503, 87789, 53121, 138, 107, 138, 236770, 236761, 10901, 52024, 580, 6400, 842, 568, 504, 506, 4068, 59438, 699, 822, 2033, 769, 138, 107, 138, 236778, 236761, 22177, 506, 9116, 3097, 32643, 657, 506, 186102, 236761, 138, 108, 1018, 9473, 53121, 138, 107, 818, 9116, 5132, 2490, 236772, 2003, 236772, 887, 17042, 532, 496, 2587, 21385, 529, 506, 2479, 236761, 5978, 506, 5904, 4038, 236858, 236745, 10916, 2881, 573, 62913, 4106, 653, 1813, 7021, 236764, 506, 88473, 7940, 14795, 14133, 563, 3224, 573, 1061, 170353, 20874, 532, 28594, 155107, 236761, 9920, 993, 236764, 2426, 2263, 13234, 13571, 568, 236744, 236761, 236759, 1126, 194232, 516, 5796, 236858, 236751, 24682, 4456, 236768, 531, 29888, 62913, 16746, 532, 1813, 4065, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 30981, 653, 4767, 4889, 236888, 236743, 246487, 478, 397, 392, 414, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 23191, 522, 2255, 5526, 5842, 573, 1023, 3399, 23538, 236789, 236751, 4083, 2203, 236761, 5315, 236764, 18840, 672, 4429, 529, 496, 236743, 236770, 236819, 236832, 236771, 236751, 3491, 2978, 236787, 870, 2574, 1411, 8358, 236761, 854, 236786, 77208, 236770, 236819, 236832, 236771, 236761, 4034, 1619, 4943, 4852, 1385, 1133, 3649, 4806, 4204, 143177, 840, 564, 236789, 236757, 711, 2889, 236761, 9920, 692, 8701, 1724, 236764, 564, 236789, 859, 5039, 496, 3107, 236772, 1048, 529, 506, 10015, 26293, 531, 23227, 177847, 699, 668, 3374, 2139, 236761, 1174, 795, 1601, 2519, 861, 33962, 580, 11858, 6436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87892, 236779, 25487, 1083, 78493, 2491, 1083, 623, 47328, 4204, 73548, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 49721, 236779, 2566, 1083, 3714, 989, 1083, 236743, 236800, 236778, 236771, 236764, 623, 3991, 1083, 236743, 236770, 236810, 236771, 236764, 623, 2690, 1083, 236743, 236770, 236828, 236771, 236764, 623, 4603, 1083, 236743, 236828, 236771, 5237, 3714, 2491, 1083, 623, 118541, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 49721, 236779, 2566, 1083, 3714, 989, 1083, 236743, 236810, 236810, 236771, 236764, 623, 3991, 1083, 236743, 236778, 236771, 236771, 236764, 623, 2690, 1083, 236743, 236770, 236778, 236771, 236764, 623, 4603, 1083, 236743, 236770, 236810, 236771, 5237, 3714, 2491, 1083, 623, 58644, 26293, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236828, 236764, 623, 49721, 236779, 2566, 1083, 3714, 989, 1083, 236743, 236770, 236771, 236771, 236764, 623, 3991, 1083, 236743, 236800, 236771, 236771, 236764, 623, 2690, 1083, 236743, 236812, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236778, 236771, 236771, 1807, 1604, 623, 28263, 236779, 23184, 1083, 623, 172162, 3131, 236743, 236770, 236819, 236832, 236771, 236751, 236772, 1741, 5526, 7359, 236761, 669, 4806, 4204, 73548, 3831, 13629, 13069, 5431, 236761, 669, 10015, 26293, 6097, 121492, 6436, 20226, 12532, 17611, 573, 29482, 1534, 177847, 532, 668, 3374, 2139, 1781, 236783, 106, 107, 105, 4368, 107, 818, 3671, 815, 8385, 2307, 4852, 528, 506, 236743, 236770, 236819, 236832, 236771, 236751, 3491, 2978, 236787, 107, 236772, 562, 4806, 4204, 73548, 568, 236819, 236778, 236908, 10805, 236768, 607, 11325, 13069, 5431, 10944, 529, 506, 6933, 107, 236772, 562, 70824, 568, 236828, 236810, 236908, 10805, 236768, 17940, 14942, 107, 236772, 1455, 10015, 26293, 568, 236828, 236828, 236908, 10805, 236768, 7906, 20745, 121492, 6436, 20226, 12532, 12644, 108, 2021, 23227, 1534, 177847, 532, 668, 3374, 2139, 528, 506, 26293, 236764, 5091, 2847, 506, 3107, 236772, 1048, 2471, 529, 506, 10015, 26293, 2433, 568, 56220, 236787, 2378, 236784, 236770, 236771, 236771, 236764, 1903, 236784, 236800, 236771, 236771, 236764, 2962, 236784, 236812, 236771, 236771, 236764, 3558, 236784, 236778, 236771, 236771, 18033, 528, 506, 3303, 4429, 769, 1174, 795, 2174, 919, 18997, 3671, 529, 506, 26764, 17747, 236789, 15965, 532, 43014, 15106, 236761, 106, 107, 105, 2364, 107, 14782, 611, 236888, 5715, 236789, 236751, 506, 3107, 236772, 1048, 529, 506, 10015, 26293, 699, 506, 3303, 4429, 236787, 870, 2574, 1411, 8358, 236761, 854, 236786, 77208, 236770, 236819, 236832, 236771, 236779, 71388, 236761, 4034, 1619, 3199, 611, 1492, 18840, 672, 59144, 3336, 531, 45426, 506, 177847, 699, 668, 3374, 2139, 236881, 669, 11858, 23469, 1534, 1239, 6436, 563, 13832, 573, 1023, 12524, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25487, 1083, 78493, 2491, 1083, 623, 10270, 975, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236770, 236770, 236810, 236764, 623, 7101, 1083, 236743, 236800, 236778, 236771, 236764, 623, 7148, 1083, 236743, 236770, 236828, 236771, 236764, 623, 7155, 1083, 236743, 236812, 236770, 236771, 5237, 3714, 2491, 1083, 623, 499, 219607, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236832, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236778, 236812, 236810, 236764, 623, 7101, 1083, 236743, 236778, 236819, 236771, 236764, 623, 7148, 1083, 236743, 236800, 236770, 236771, 236764, 623, 7155, 1083, 236743, 236800, 236819, 236810, 5237, 3714, 2491, 1083, 623, 47328, 4204, 73548, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236812, 236810, 236764, 623, 7101, 1083, 236743, 236770, 236810, 236771, 236764, 623, 7148, 1083, 236743, 236812, 236771, 236771, 236764, 623, 7155, 1083, 236743, 236778, 236810, 236771, 5237, 3714, 2491, 1083, 623, 121200, 8103, 26293, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236828, 236771, 236764, 623, 7101, 1083, 236743, 236778, 236832, 236771, 236764, 623, 7148, 1083, 236743, 236800, 236832, 236771, 236764, 623, 7155, 1083, 236743, 236812, 236800, 236771, 1807, 21111, 106, 107, 105, 4368, 107, 818, 3107, 236772, 1048, 3671, 88906, 1156, 2307, 17747, 528, 506, 26293, 236787, 108, 236770, 236761, 5213, 36350, 975, 1018, 568, 236819, 236778, 236908, 10805, 236768, 107, 139, 236772, 21617, 236787, 28612, 2678, 529, 26293, 568, 236770, 236770, 236810, 236764, 236800, 236778, 236771, 531, 236743, 236770, 236828, 236771, 236764, 236812, 236770, 236771, 236768, 107, 139, 236772, 120570, 4065, 236787, 10599, 2950, 236764, 510, 46579, 236772, 5282, 3904, 607, 5851, 11221, 5402, 573, 134639, 1944, 7751, 653, 12290, 108, 236778, 236761, 5213, 87007, 33600, 1018, 568, 236828, 236832, 236908, 10805, 236768, 107, 139, 236772, 21617, 236787, 6022, 236772, 898, 529, 26293, 568, 236778, 236812, 236810, 236764, 236778, 236819, 236771, 531, 236743, 236800, 236770, 236771, 236764, 236800, 236819, 236810, 236768, 107, 139, 236772, 120570, 4065, 236787, 1293, 31265, 2016, 607, 43014, 10241, 568, 21259, 175310, 6060, 236768, 532, 25898, 11221, 573, 127491, 4806, 17735, 108, 818, 4806, 4204, 73548, 568, 236832, 236828, 236908, 10805, 236768, 7412, 20745, 144689, 1024, 506, 26293, 236789, 236751, 7377, 236761, 3143, 83858, 8913, 607, 236743, 236770, 236819, 236832, 236771, 236751, 5526, 5904, 1702, 8443, 236764, 1298, 177847, 964, 1456, 573, 12290, 37226, 1651, 668, 3374, 2139, 16939, 12974, 41226, 573, 105038, 2256, 236761, 21284, 611, 1133, 786, 531, 8357, 3530, 79213, 4065, 528, 506, 2471, 573, 12524, 5417, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23191, 522, 2255, 5526, 5842, 573, 1023, 3399, 23538, 236789, 236751, 4083, 2203, 236761, 5315, 236764, 18840, 672, 4429, 529, 496, 236743, 236770, 236819, 236832, 236771, 236751, 3491, 2978, 236787, 870, 2574, 1411, 8358, 236761, 854, 236786, 77208, 236770, 236819, 236832, 236771, 236761, 4034, 1619, 4943, 4852, 1385, 1133, 3649, 4806, 4204, 143177, 840, 564, 236789, 236757, 711, 2889, 236761, 9920, 692, 8701, 1724, 236764, 564, 236789, 859, 5039, 496, 3107, 236772, 1048, 529, 506, 10015, 26293, 531, 23227, 177847, 699, 668, 3374, 2139, 236761, 1174, 795, 1601, 2519, 861, 33962, 580, 11858, 6436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87892, 236779, 25487, 1083, 78493, 2491, 1083, 623, 47328, 4204, 73548, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 49721, 236779, 2566, 1083, 3714, 989, 1083, 236743, 236800, 236778, 236771, 236764, 623, 3991, 1083, 236743, 236770, 236810, 236771, 236764, 623, 2690, 1083, 236743, 236770, 236828, 236771, 236764, 623, 4603, 1083, 236743, 236828, 236771, 5237, 3714, 2491, 1083, 623, 118541, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 49721, 236779, 2566, 1083, 3714, 989, 1083, 236743, 236810, 236810, 236771, 236764, 623, 3991, 1083, 236743, 236778, 236771, 236771, 236764, 623, 2690, 1083, 236743, 236770, 236778, 236771, 236764, 623, 4603, 1083, 236743, 236770, 236810, 236771, 5237, 3714, 2491, 1083, 623, 58644, 26293, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236828, 236764, 623, 49721, 236779, 2566, 1083, 3714, 989, 1083, 236743, 236770, 236771, 236771, 236764, 623, 3991, 1083, 236743, 236800, 236771, 236771, 236764, 623, 2690, 1083, 236743, 236812, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236778, 236771, 236771, 1807, 1604, 623, 28263, 236779, 23184, 1083, 623, 172162, 3131, 236743, 236770, 236819, 236832, 236771, 236751, 236772, 1741, 5526, 7359, 236761, 669, 4806, 4204, 73548, 3831, 13629, 13069, 5431, 236761, 669, 10015, 26293, 6097, 121492, 6436, 20226, 12532, 17611, 573, 29482, 1534, 177847, 532, 668, 3374, 2139, 1781, 236783, 106, 107, 105, 4368, 107, 818, 3671, 815, 8385, 2307, 4852, 528, 506, 236743, 236770, 236819, 236832, 236771, 236751, 3491, 2978, 236787, 107, 236772, 562, 4806, 4204, 73548, 568, 236819, 236778, 236908, 10805, 236768, 607, 11325, 13069, 5431, 10944, 529, 506, 6933, 107, 236772, 562, 70824, 568, 236828, 236810, 236908, 10805, 236768, 17940, 14942, 107, 236772, 1455, 10015, 26293, 568, 236828, 236828, 236908, 10805, 236768, 7906, 20745, 121492, 6436, 20226, 12532, 12644, 108, 2021, 23227, 1534, 177847, 532, 668, 3374, 2139, 528, 506, 26293, 236764, 5091, 2847, 506, 3107, 236772, 1048, 2471, 529, 506, 10015, 26293, 2433, 568, 56220, 236787, 2378, 236784, 236770, 236771, 236771, 236764, 1903, 236784, 236800, 236771, 236771, 236764, 2962, 236784, 236812, 236771, 236771, 236764, 3558, 236784, 236778, 236771, 236771, 18033, 528, 506, 3303, 4429, 769, 1174, 795, 2174, 919, 18997, 3671, 529, 506, 26764, 17747, 236789, 15965, 532, 43014, 15106, 236761, 106, 107, 105, 2364, 107, 14782, 611, 236888, 5715, 236789, 236751, 506, 3107, 236772, 1048, 529, 506, 10015, 26293, 699, 506, 3303, 4429, 236787, 870, 2574, 1411, 8358, 236761, 854, 236786, 77208, 236770, 236819, 236832, 236771, 236779, 71388, 236761, 4034, 1619, 3199, 611, 1492, 18840, 672, 59144, 3336, 531, 45426, 506, 177847, 699, 668, 3374, 2139, 236881, 669, 11858, 23469, 1534, 1239, 6436, 563, 13832, 573, 1023, 12524, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25487, 1083, 78493, 2491, 1083, 623, 10270, 975, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236770, 236770, 236810, 236764, 623, 7101, 1083, 236743, 236800, 236778, 236771, 236764, 623, 7148, 1083, 236743, 236770, 236828, 236771, 236764, 623, 7155, 1083, 236743, 236812, 236770, 236771, 5237, 3714, 2491, 1083, 623, 499, 219607, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236832, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236778, 236812, 236810, 236764, 623, 7101, 1083, 236743, 236778, 236819, 236771, 236764, 623, 7148, 1083, 236743, 236800, 236770, 236771, 236764, 623, 7155, 1083, 236743, 236800, 236819, 236810, 5237, 3714, 2491, 1083, 623, 47328, 4204, 73548, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236812, 236810, 236764, 623, 7101, 1083, 236743, 236770, 236810, 236771, 236764, 623, 7148, 1083, 236743, 236812, 236771, 236771, 236764, 623, 7155, 1083, 236743, 236778, 236810, 236771, 5237, 3714, 2491, 1083, 623, 121200, 8103, 26293, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 236764, 623, 49721, 236779, 2566, 1083, 3714, 7135, 1083, 236743, 236828, 236771, 236764, 623, 7101, 1083, 236743, 236778, 236832, 236771, 236764, 623, 7148, 1083, 236743, 236800, 236832, 236771, 236764, 623, 7155, 1083, 236743, 236812, 236800, 236771, 1807, 21111, 106, 107, 105, 4368, 107, 818, 3107, 236772, 1048, 3671, 88906, 1156, 2307, 17747, 528, 506, 26293, 236787, 108, 236770, 236761, 5213, 36350, 975, 1018, 568, 236819, 236778, 236908, 10805, 236768, 107, 139, 236772, 21617, 236787, 28612, 2678, 529, 26293, 568, 236770, 236770, 236810, 236764, 236800, 236778, 236771, 531, 236743, 236770, 236828, 236771, 236764, 236812, 236770, 236771, 236768, 107, 139, 236772, 120570, 4065, 236787, 10599, 2950, 236764, 510, 46579, 236772, 5282, 3904, 607, 5851, 11221, 5402, 573, 134639, 1944, 7751, 653, 12290, 108, 236778, 236761, 5213, 87007, 33600, 1018, 568, 236828, 236832, 236908, 10805, 236768, 107, 139, 236772, 21617, 236787, 6022, 236772, 898, 529, 26293, 568, 236778, 236812, 236810, 236764, 236778, 236819, 236771, 531, 236743, 236800, 236770, 236771, 236764, 236800, 236819, 236810, 236768, 107, 139, 236772, 120570, 4065, 236787, 1293, 31265, 2016, 607, 43014, 10241, 568, 21259, 175310, 6060, 236768, 532, 25898, 11221, 573, 127491, 4806, 17735, 108, 818, 4806, 4204, 73548, 568, 236832, 236828, 236908, 10805, 236768, 7412, 20745, 144689, 1024, 506, 26293, 236789, 236751, 7377, 236761, 3143, 83858, 8913, 607, 236743, 236770, 236819, 236832, 236771, 236751, 5526, 5904, 1702, 8443, 236764, 1298, 177847, 964, 1456, 573, 12290, 37226, 1651, 668, 3374, 2139, 16939, 12974, 41226, 573, 105038, 2256, 236761, 21284, 611, 1133, 786, 531, 8357, 3530, 79213, 4065, 528, 506, 2471, 573, 12524, 5417, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 1932, 614, 1610, 15707, 600, 66503, 16403, 3668, 11421, 532, 33627, 9226, 8770, 236764, 840, 564, 1202, 1601, 120022, 672, 607, 4185, 24488, 7675, 531, 7440, 3435, 6627, 236761, 28344, 611, 1161, 506, 13726, 236779, 28964, 236779, 53265, 236779, 501, 236779, 3723, 5904, 531, 8701, 837, 145958, 10916, 1894, 9226, 19898, 236764, 3399, 2913, 236764, 532, 23722, 5527, 3877, 236881, 564, 1461, 531, 8357, 1239, 13792, 528, 1041, 1960, 2731, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53265, 1083, 78493, 29538, 236779, 5640, 1083, 236743, 236812, 236764, 623, 7777, 1083, 623, 103802, 23722, 532, 45256, 3325, 4993, 532, 11723, 51359, 4735, 7760, 573, 784, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236812, 236761, 236832, 827, 623, 7777, 1083, 623, 2292, 236743, 236778, 236771, 236800, 236771, 236764, 5330, 784, 38600, 22317, 506, 4654, 532, 6130, 4354, 531, 11723, 13726, 2913, 236764, 2440, 236764, 3571, 3496, 236764, 1343, 4993, 573, 13726, 2913, 532, 13726, 92403, 236764, 3246, 5726, 236764, 13435, 21584, 236764, 18214, 529, 496, 6540, 529, 8118, 532, 1908, 236772, 132712, 236764, 4185, 46153, 532, 29072, 529, 9226, 15459, 532, 529, 6540, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 12416, 531, 13726, 2913, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236812, 236761, 236832, 236761, 236770, 827, 623, 7777, 1083, 623, 87057, 531, 837, 568, 236747, 236768, 4185, 46153, 4993, 532, 568, 3436, 236768, 4993, 573, 13726, 2913, 659, 31653, 524, 528, 568, 236746, 236768, 4559, 4993, 10034, 236793, 568, 236763, 236768, 25755, 236793, 568, 236755, 236768, 9800, 4993, 236775, 200808, 3714, 29538, 236779, 5640, 1083, 236743, 236828, 236764, 623, 7777, 1083, 623, 21301, 1841, 23226, 236764, 23722, 532, 13726, 5527, 3877, 236764, 2587, 532, 23904, 11155, 532, 16279, 981, 573, 784, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236828, 236761, 236800, 827, 623, 7777, 1083, 623, 21301, 1841, 2913, 236772, 29963, 10034, 600, 1894, 23904, 5085, 236764, 16279, 3195, 11381, 236764, 22622, 5976, 236764, 24597, 532, 13862, 236764, 532, 13491, 506, 10781, 1854, 532, 3877, 529, 4719, 11859, 1944, 236772, 532, 7860, 236772, 21928, 27709, 236764, 2440, 1343, 2802, 531, 4867, 3019, 23179, 3714, 5654, 236779, 5640, 1083, 623, 236828, 236761, 236770, 236771, 827, 623, 7777, 1083, 623, 40308, 84145, 506, 6541, 529, 11451, 4867, 11326, 531, 13491, 532, 6778, 2802, 531, 19257, 236764, 8657, 532, 4867, 3019, 573, 784, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236828, 236761, 236800, 236761, 236770, 827, 623, 7777, 1083, 623, 1489, 33768, 529, 33835, 11155, 528, 1908, 236772, 139667, 11155, 236764, 684, 6043, 23179, 3714, 88932, 236779, 5640, 1083, 623, 236828, 236761, 236770, 236771, 236761, 236770, 827, 623, 7777, 1083, 623, 4452, 529, 6635, 4856, 15092, 810, 236743, 236770, 236771, 236771, 236764, 236771, 236771, 236771, 12795, 236775, 200808, 3714, 29538, 236779, 5640, 1083, 236743, 236770, 236771, 236764, 623, 7777, 1083, 623, 84438, 18292, 2351, 532, 3571, 4808, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236770, 236771, 236761, 236778, 827, 623, 7777, 1083, 623, 2292, 236743, 236778, 236771, 236800, 236771, 236764, 21293, 532, 11723, 506, 2777, 236764, 5527, 532, 5255, 20773, 529, 784, 236764, 61957, 529, 3911, 236764, 6043, 236764, 24890, 236764, 7547, 236764, 69871, 236764, 9059, 236764, 15831, 653, 5527, 653, 1032, 4981, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236770, 236771, 236761, 236778, 236761, 236770, 827, 623, 7777, 1083, 623, 1489, 33768, 529, 1331, 4882, 3426, 236743, 236810, 236771, 3591, 529, 20522, 7094, 236764, 684, 6043, 236764, 3911, 532, 9205, 607, 34541, 236775, 200808, 3714, 29538, 236779, 5640, 1083, 236743, 236770, 236770, 236764, 623, 7777, 1083, 623, 13185, 9979, 532, 3246, 53965, 23722, 236764, 6338, 236764, 51687, 532, 13726, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236770, 236770, 236761, 236812, 827, 623, 7777, 1083, 623, 40308, 84145, 7880, 531, 3856, 532, 62810, 506, 1902, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 9226, 532, 3756, 23060, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236770, 236770, 236761, 236812, 236761, 236770, 827, 623, 7777, 1083, 623, 9640, 27588, 568, 2153, 532, 2147, 236768, 810, 52956, 7785, 580, 506, 33862, 236764, 6733, 532, 16672, 529, 784, 9226, 532, 3756, 23060, 7088, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 822, 16403, 3668, 1610, 15707, 740, 8913, 607, 7798, 145958, 531, 7440, 6627, 532, 15128, 4185, 4100, 236787, 108, 1018, 236770, 236761, 180265, 236743, 236812, 236787, 19779, 9426, 1018, 138, 107, 236772, 5213, 10206, 236743, 236812, 236761, 236832, 66515, 137615, 9226, 29072, 1343, 1610, 4993, 138, 107, 138, 236829, 4396, 63508, 23949, 28023, 580, 16403, 3668, 1610, 4083, 236764, 6672, 8403, 236764, 532, 24488, 22888, 528, 13859, 607, 2263, 7958, 236786, 39893, 1236, 236761, 138, 107, 138, 236829, 35382, 63508, 30452, 12524, 1948, 15430, 532, 25755, 12434, 607, 9226, 24488, 3004, 236761, 108, 1018, 236778, 236761, 180265, 236743, 236828, 236787, 3901, 533, 5490, 833, 16875, 26608, 1018, 138, 107, 236772, 5213, 10206, 236743, 236828, 236761, 236800, 66515, 12730, 9578, 22622, 5976, 138, 107, 138, 236829, 4396, 63508, 32300, 607, 16403, 3668, 8325, 145408, 236764, 17096, 5888, 15880, 532, 12889, 2913, 7760, 236761, 138, 107, 138, 236829, 35382, 63508, 28333, 3195, 11381, 528, 506, 9226, 7095, 532, 4087, 8325, 7094, 3877, 236761, 138, 107, 236772, 5213, 10206, 236743, 236828, 236761, 236770, 236771, 66515, 84567, 4867, 20773, 138, 107, 138, 236829, 4396, 63508, 200607, 607, 4719, 85685, 11326, 531, 2847, 24027, 236786, 661, 15682, 573, 20222, 11421, 236761, 138, 108, 1018, 236800, 236761, 180265, 236743, 236770, 236771, 236787, 95495, 212417, 1236, 1018, 138, 107, 236772, 5213, 10206, 236743, 236770, 236771, 236761, 236778, 66515, 8779, 20773, 1343, 1610, 138, 107, 138, 236829, 4396, 63508, 37868, 11421, 699, 93838, 8904, 568, 236744, 236761, 236759, 1126, 49175, 4402, 236764, 3607, 236764, 49310, 236862, 44100, 236768, 532, 2729, 2196, 3399, 19520, 9952, 236761, 138, 107, 138, 236829, 35382, 63508, 30452, 15459, 19455, 529, 22765, 11421, 532, 32801, 86236, 236761, 138, 108, 1018, 236812, 236761, 180265, 236743, 236770, 236770, 236787, 48233, 46273, 1018, 138, 107, 236772, 5213, 10206, 236743, 236770, 236770, 236761, 236812, 66515, 53710, 9226, 23060, 138, 107, 138, 236829, 4396, 63508, 129274, 6672, 83918, 568, 236744, 236761, 236759, 1126, 708, 1124, 40249, 3863, 4554, 1965, 236764, 199198, 57005, 236768, 16195, 16236, 4146, 236761, 32300, 607, 49073, 7088, 573, 23060, 33862, 19898, 236761, 138, 107, 138, 236829, 35382, 63508, 21685, 17461, 528, 39983, 9226, 10154, 1343, 52923, 532, 8325, 24027, 236761, 138, 108, 1018, 165108, 45012, 62503, 1018, 138, 107, 236772, 6890, 180265, 236743, 236812, 236786, 236828, 147070, 531, 15474, 49073, 568, 50771, 4993, 236768, 532, 163520, 568, 50694, 8122, 236768, 138, 107, 236772, 212649, 180265, 236743, 236770, 236771, 236786, 236770, 236770, 25000, 531, 7440, 11213, 699, 4109, 5970, 9226, 33862, 6607, 138, 107, 236772, 118189, 180265, 236743, 236828, 14989, 528, 25398, 531, 4100, 13177, 10317, 580, 9578, 13390, 138, 108, 2094, 10318, 10681, 822, 15707, 618, 496, 11825, 1534, 9226, 33862, 236764, 5527, 62901, 236764, 532, 13726, 11321, 2913, 237028, 2478, 28304, 573, 4185, 6627, 12985, 180265, 236772, 4647, 19898, 236761, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 33000, 607, 16403, 3668, 4808, 600, 56856, 9226, 19898, 32769, 607, 1239, 145958, 236761, 28344, 611, 1161, 506, 4808, 236779, 501, 236779, 3723, 5904, 531, 8701, 236743, 236800, 236772, 236810, 16403, 3668, 4808, 600, 735, 3188, 9226, 10034, 4596, 531, 23060, 33862, 568, 8209, 236823, 236743, 236770, 236770, 779, 5527, 7760, 573, 11421, 568, 8209, 236823, 236743, 236828, 779, 532, 12524, 6607, 568, 8209, 236823, 236743, 236812, 20625, 1701, 1546, 2891, 236764, 5091, 3204, 236787, 236743, 236770, 236761, 34883, 15579, 568, 1071, 2731, 132567, 43285, 236768, 236743, 236778, 236761, 73888, 4128, 568, 1071, 3050, 107634, 24481, 236768, 236743, 236800, 236761, 7129, 9226, 236786, 119312, 25268, 528, 910, 4559, 10034, 1174, 795, 1601, 786, 3328, 8325, 67529, 532, 11213, 7760, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41560, 1083, 78493, 1201, 1083, 623, 71494, 827, 623, 70496, 1083, 11058, 227601, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 95602, 236785, 236756, 236771, 236771, 524, 12326, 827, 623, 38428, 1083, 236743, 236778, 236770, 236800, 236812, 236812, 236810, 236812, 236832, 236828, 1263, 3714, 1201, 1083, 623, 109324, 827, 623, 70496, 1083, 11058, 80353, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 60929, 48111, 827, 623, 38428, 1083, 236743, 236812, 236810, 236800, 236832, 236825, 236832, 236825, 236800, 1263, 3714, 1201, 1083, 623, 218471, 827, 623, 70496, 1083, 11058, 80353, 827, 623, 10816, 574, 3271, 827, 623, 236776, 1177, 2032, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 168576, 827, 623, 38428, 1083, 236743, 236800, 236800, 236800, 236819, 236832, 236771, 236800, 236825, 1263, 3714, 1201, 1083, 623, 179710, 827, 623, 70496, 1083, 11058, 80353, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 128573, 557, 236785, 236756, 236771, 236771, 236744, 236770, 827, 623, 38428, 1083, 236743, 236810, 236771, 236828, 236828, 236778, 236828, 236819, 236770, 1263, 3714, 1201, 1083, 623, 168033, 827, 623, 70496, 1083, 11058, 80353, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 209489, 827, 623, 38428, 1083, 236743, 236770, 236819, 236800, 236812, 236819, 236770, 236819, 236771, 165075, 106, 107, 105, 4368, 107, 8409, 506, 5904, 3072, 3847, 91798, 2891, 1262, 236764, 625, 40826, 1982, 4957, 25268, 573, 9226, 23060, 236764, 5527, 7760, 236764, 532, 4993, 236761, 3153, 236764, 2721, 580, 3224, 19898, 532, 506, 1262, 2487, 236764, 1590, 659, 5213, 236800, 13546, 4808, 1018, 573, 822, 1610, 15707, 33000, 236764, 607, 14971, 25000, 531, 145958, 236743, 236770, 236770, 568, 223420, 779, 236743, 236828, 568, 28255, 3877, 779, 532, 236743, 236812, 568, 52531, 1473, 108, 7243, 108, 10354, 5213, 236770, 236761, 40496, 1018, 138, 107, 236772, 5213, 100535, 66515, 14361, 236764, 7523, 574, 3271, 236764, 562, 1177, 2032, 138, 107, 236772, 5213, 30532, 66515, 199198, 4844, 14073, 568, 1587, 28811, 2802, 4323, 49830, 236858, 236751, 5251, 2411, 236786, 140323, 236768, 138, 107, 236772, 5213, 111534, 236786, 75718, 77453, 66515, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 6863, 531, 236743, 236770, 236800, 49073, 4109, 28917, 63558, 568, 236744, 236761, 236759, 1126, 226319, 207827, 236764, 43902, 11368, 529, 197724, 779, 607, 4559, 6607, 1133, 506, 808, 20918, 7955, 529, 21427, 236829, 20329, 6672, 199198, 57169, 57919, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236828, 236761, 236800, 66515, 6110, 12765, 86165, 145408, 568, 236744, 236761, 236759, 1126, 197724, 87842, 6022, 236768, 531, 12277, 23722, 5527, 3877, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236812, 236761, 236832, 66515, 28043, 25139, 7523, 574, 3271, 532, 562, 1177, 2032, 9226, 4993, 236764, 120022, 607, 822, 97460, 43285, 7760, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 200607, 607, 49830, 236858, 236751, 72426, 29143, 1364, 568, 1734, 236772, 1980, 3464, 1037, 1610, 236768, 532, 197724, 236858, 236751, 86165, 12230, 573, 52923, 532, 12889, 236772, 21125, 28023, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 14600, 1018, 138, 107, 236772, 5213, 100535, 66515, 41082, 138, 107, 236772, 5213, 30532, 66515, 17792, 4257, 5711, 568, 1587, 28811, 15039, 528, 30342, 29150, 236786, 204979, 77700, 236768, 138, 107, 236772, 5213, 111534, 236786, 75718, 77453, 66515, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 49073, 236772, 87892, 7088, 568, 236744, 236761, 236759, 1126, 43644, 569, 112524, 236858, 236751, 33849, 13217, 236768, 532, 19898, 1133, 506, 808, 135255, 776, 119457, 88821, 23152, 99797, 545, 4585, 53950, 22015, 568, 4012, 75023, 12016, 573, 93777, 236772, 204979, 9226, 33862, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236828, 236761, 236770, 236771, 66515, 41327, 1133, 808, 1489, 2714, 236829, 568, 121175, 29150, 236858, 236751, 15653, 11213, 236768, 532, 808, 236799, 2885, 1740, 236829, 568, 28964, 4856, 236768, 1894, 8325, 4719, 236772, 1568, 1639, 532, 9226, 22622, 5976, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236812, 236761, 236832, 66515, 999, 158967, 236772, 128379, 3284, 2758, 236919, 10034, 11723, 93777, 236772, 724, 21134, 1610, 528, 1237, 7958, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 32300, 607, 30342, 29150, 236858, 236751, 93777, 71494, 11109, 532, 23249, 569, 49727, 236858, 236751, 808, 103811, 32462, 77906, 776, 23463, 236829, 573, 52923, 532, 8325, 5894, 5201, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 34877, 1018, 138, 107, 236772, 5213, 100535, 66515, 14361, 138, 107, 236772, 5213, 30532, 66515, 15632, 97740, 568, 1587, 28811, 2802, 4323, 138518, 532, 194196, 236768, 138, 107, 236772, 5213, 111534, 236786, 75718, 77453, 66515, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 138518, 236858, 236751, 808, 135255, 6063, 175321, 569, 213832, 32462, 236829, 56945, 33849, 532, 49175, 23060, 236761, 49073, 236772, 34807, 7088, 1133, 204093, 236858, 236751, 17110, 3988, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236828, 236761, 236800, 66515, 6110, 236772, 64555, 9578, 8122, 19898, 568, 236744, 236761, 236759, 1126, 808, 2023, 3765, 508, 8815, 569, 34877, 17616, 1894, 236743, 236770, 236778, 236771, 236764, 236771, 236771, 236771, 236862, 90760, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236812, 236761, 236832, 66515, 999, 32343, 2103, 1642, 759, 1700, 32420, 4666, 570, 759, 62906, 236919, 5132, 9226, 15459, 528, 2528, 125744, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 200607, 607, 138518, 236858, 236751, 808, 157663, 236748, 1162, 82129, 236829, 568, 1734, 236772, 1980, 3464, 1037, 5122, 1610, 236768, 532, 194196, 236858, 236751, 808, 2740, 805, 31001, 569, 80861, 216472, 102591, 236829, 573, 8325, 24027, 532, 12524, 6607, 236761, 108, 7243, 108, 10354, 5213, 61192, 236787, 27491, 568, 8209, 236823, 236743, 236770, 236770, 30235, 62902, 138, 107, 236772, 5213, 100535, 66515, 14361, 138, 107, 236772, 5213, 30532, 66515, 14105, 107857, 568, 1587, 28811, 2802, 4323, 44554, 532, 3858, 16847, 151230, 236768, 138, 107, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 3858, 16847, 151230, 236858, 236751, 17110, 7737, 563, 496, 49073, 3432, 236764, 607, 3251, 236772, 61827, 24037, 529, 130235, 532, 7363, 1610, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 32300, 607, 3858, 16847, 151230, 236858, 236751, 808, 157663, 236748, 569, 16384, 527, 105415, 236829, 573, 23060, 236772, 68122, 52923, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 13666, 53300, 98916, 66515, 6890, 14361, 618, 496, 3364, 5192, 573, 1346, 4808, 236764, 840, 56856, 7523, 574, 3271, 236786, 236776, 1177, 2032, 15154, 528, 40496, 236761, 138, 107, 236778, 236761, 5213, 20884, 6498, 66515, 1701, 19276, 25268, 236764, 6618, 49073, 236858, 236751, 808, 53783, 573, 48233, 8236, 236829, 7948, 653, 1546, 2891, 236858, 236751, 14815, 529, 21427, 7248, 236761, 138, 107, 236800, 236761, 5213, 4153, 28811, 22113, 66515, 22282, 77372, 9979, 607, 5251, 52132, 236786, 236754, 24611, 568, 168576, 236764, 138518, 236764, 30342, 29150, 236768, 573, 2157, 236772, 25931, 12631, 236786, 14131, 847, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 11403, 25398, 653, 21558, 11213, 12762, 528, 1239, 4808, 236881, 106, 107, 105, 2364, 107, 2021, 12262, 5225, 11403, 25398, 532, 8701, 11213, 12762, 528, 40496, 236764, 14600, 236764, 34877, 236764, 532, 27491, 236764, 564, 236858, 859, 1161, 506, 5213, 16212, 3536, 236779, 501, 236779, 3723, 1018, 5904, 531, 33205, 31044, 44362, 573, 15523, 1702, 532, 73987, 25000, 236761, 1174, 795, 5330, 822, 25398, 659, 14971, 236764, 180265, 236772, 4647, 236764, 532, 36443, 531, 1546, 2891, 236858, 236751, 28304, 236761, 5213, 7029, 531, 2970, 66515, 28344, 611, 1161, 506, 5213, 16212, 3536, 236779, 501, 236779, 3723, 1018, 5904, 531, 33205, 44362, 1288, 618, 236787, 236743, 236770, 236761, 5213, 236775, 21009, 236772, 15607, 236772, 178899, 236775, 1018, 568, 1071, 3904, 25398, 2101, 180265, 236772, 4647, 9226, 236786, 28255, 8991, 532, 822, 15707, 236858, 236751, 5434, 769, 236743, 236778, 236761, 5213, 236775, 233149, 5317, 13768, 236775, 1018, 568, 1071, 4187, 2307, 94214, 236764, 9226, 11326, 236764, 532, 11213, 12762, 528, 1546, 2891, 769, 236743, 236800, 236761, 5213, 236775, 3135, 20232, 42976, 236775, 1018, 568, 1071, 81587, 21281, 6417, 573, 6627, 236764, 11421, 236764, 532, 8904, 20625, 1174, 795, 2847, 83979, 23693, 531, 10781, 969, 822, 43285, 7545, 532, 11213, 6182, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6617, 236751, 1083, 78493, 1201, 1083, 623, 21009, 236772, 15607, 236772, 178899, 36376, 827, 623, 7777, 1083, 623, 155399, 25398, 2101, 38673, 8991, 32769, 607, 145958, 236743, 236812, 568, 40213, 9426, 236768, 532, 236743, 236828, 568, 8724, 533, 5490, 779, 79720, 9226, 236786, 28255, 2913, 1343, 1610, 10498, 623, 6502, 1083, 3714, 43510, 236779, 28263, 1083, 623, 137938, 28893, 528, 9226, 12308, 532, 5527, 7760, 573, 11421, 827, 623, 47213, 236779, 20593, 1083, 623, 1489, 3518, 15707, 236772, 991, 19898, 37803, 2263, 28968, 607, 4185, 1610, 9766, 827, 623, 102625, 236779, 36756, 1083, 623, 20170, 1891, 180265, 18506, 1343, 11155, 19455, 532, 3399, 15154, 150180, 23179, 623, 8358, 1083, 623, 218471, 32462, 111543, 7879, 236787, 95495, 8325, 27798, 684, 236743, 236800, 236832, 236908, 1343, 11514, 236772, 61827, 19520, 12230, 827, 623, 89071, 1083, 11058, 3743, 145958, 36376, 827, 623, 111534, 29448, 42177, 568, 236778, 236771, 236778, 236800, 236768, 152254, 3714, 1201, 1083, 623, 233149, 5317, 13768, 28707, 827, 623, 7777, 1083, 623, 62999, 4893, 236772, 26427, 532, 77952, 3418, 1237, 236764, 2147, 236764, 532, 8202, 18597, 528, 199198, 532, 9593, 1037, 9576, 827, 623, 63265, 1083, 3714, 10310, 236779, 21878, 236779, 8545, 1083, 623, 30255, 77372, 94214, 568, 236744, 236761, 236759, 1126, 40496, 236789, 236751, 24332, 210676, 2402, 236768, 7728, 236761, 2263, 145408, 827, 623, 83852, 236779, 36756, 1083, 623, 137938, 13818, 84105, 528, 4559, 1610, 56281, 532, 5251, 38731, 827, 623, 54520, 236779, 8318, 6307, 1083, 623, 186922, 180265, 37031, 607, 11514, 217457, 9226, 6607, 23179, 623, 8358, 1083, 623, 71494, 236772, 31756, 4585, 87542, 236787, 82521, 32769, 173453, 236785, 236756, 236771, 236771, 5742, 32462, 7955, 607, 64790, 48815, 236785, 236756, 236771, 236771, 236744, 236832, 2224, 12230, 827, 623, 89071, 1083, 11058, 136258, 1008, 610, 236761, 118122, 5317, 18188, 827, 623, 181787, 21982, 236772, 144650, 5317, 54442, 152254, 3714, 1201, 1083, 623, 3135, 20232, 42976, 827, 623, 7777, 1083, 623, 185310, 8324, 66431, 607, 3399, 4100, 1343, 14413, 236772, 2394, 11381, 4681, 827, 623, 28145, 1083, 3714, 59937, 236779, 124918, 1083, 623, 38335, 27820, 528, 20222, 9766, 236764, 49073, 25000, 236764, 3869, 36808, 827, 623, 37939, 236779, 725, 10927, 1083, 623, 13149, 8325, 4122, 6607, 236764, 9226, 23060, 33862, 827, 623, 28255, 236779, 4368, 1083, 623, 131022, 11213, 1343, 24027, 236764, 11961, 206342, 236764, 532, 15049, 10471, 23179, 623, 8358, 1083, 623, 168033, 508, 39426, 6503, 45012, 236787, 609, 236778, 236761, 236770, 236792, 15653, 4993, 3055, 528, 8770, 573, 86101, 13761, 26657, 827, 623, 89071, 1083, 11058, 42928, 4288, 12155, 20232, 7803, 827, 623, 236799, 10201, 27938, 8813, 36376, 99471, 1604, 623, 21052, 1083, 3714, 19645, 236779, 44384, 1083, 11058, 218471, 827, 623, 71494, 827, 623, 179710, 827, 623, 168033, 14255, 623, 11102, 236759, 236779, 54520, 1083, 11058, 8209, 236823, 236743, 236812, 827, 623, 8209, 236823, 236743, 236828, 827, 623, 8209, 236823, 236743, 236770, 236770, 14255, 623, 6010, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 1217, 531, 5510, 506, 44362, 531, 3904, 822, 11403, 25398, 532, 11213, 11298, 573, 16403, 3668, 4808, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 20050, 236772, 15607, 236772, 178899, 36376, 1018, 138, 107, 1018, 72655, 66515, 4585, 117282, 180265, 236772, 4647, 9226, 236786, 28255, 8991, 532, 822, 15707, 236858, 236751, 3853, 528, 17900, 1091, 236761, 138, 107, 1018, 6776, 66515, 138, 107, 236772, 5213, 21009, 13768, 66515, 138, 107, 138, 236772, 5213, 218471, 66515, 236743, 236812, 236800, 236908, 529, 90760, 6220, 2802, 531, 5251, 9766, 568, 16008, 210676, 2402, 1262, 769, 138, 107, 138, 236772, 5213, 71494, 66515, 93777, 236772, 204979, 9226, 23060, 7088, 3392, 1208, 162606, 236761, 138, 107, 138, 236772, 5213, 179710, 66515, 6531, 236772, 128828, 9576, 16438, 531, 170376, 606, 11421, 1131, 10781, 30296, 236761, 138, 107, 138, 236772, 5213, 168033, 66515, 26762, 236772, 116994, 104396, 528, 9226, 6828, 236761, 138, 107, 236772, 5213, 15607, 7803, 66515, 138, 107, 138, 236772, 8600, 623, 50771, 75191, 236775, 35007, 2263, 11421, 531, 4185, 21192, 4323, 822, 15707, 236858, 236751, 5058, 236761, 138, 107, 138, 236772, 32300, 607, 49073, 531, 1028, 236772, 19995, 52923, 568, 236744, 236761, 236759, 1126, 623, 202880, 110680, 236787, 199198, 207787, 4248, 138, 107, 236772, 5213, 178899, 72174, 66515, 138, 107, 138, 236772, 180265, 236743, 236828, 236787, 30452, 8325, 11155, 6224, 877, 236786, 3274, 236772, 232958, 236761, 138, 107, 138, 236772, 180265, 236743, 236770, 236770, 236787, 15864, 1891, 23060, 33862, 1343, 8325, 24027, 573, 6672, 8403, 236761, 138, 108, 1018, 12703, 66515, 138, 107, 236829, 218471, 32462, 111543, 7879, 236829, 7005, 8325, 27798, 684, 236743, 236800, 236832, 236908, 684, 18024, 197724, 90760, 531, 11514, 9766, 4323, 24027, 532, 52923, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 118122, 5317, 13768, 28707, 1018, 138, 107, 1018, 72655, 66515, 49644, 2307, 4893, 236772, 26427, 532, 77952, 528, 1546, 2891, 236761, 138, 107, 1018, 6776, 66515, 138, 107, 236772, 5213, 13238, 236772, 18312, 236786, 13238, 236772, 34430, 66515, 138, 107, 138, 236772, 5213, 218471, 66515, 14815, 529, 20370, 17648, 532, 37728, 568, 16008, 210676, 2402, 779, 40496, 236858, 236751, 4025, 7955, 529, 21427, 236761, 138, 107, 138, 236772, 5213, 71494, 66515, 14815, 529, 21427, 236764, 173453, 237066, 32462, 7955, 236761, 138, 107, 138, 236772, 5213, 179710, 66515, 14815, 529, 21427, 236764, 105415, 508, 8815, 569, 34877, 236761, 138, 107, 138, 236772, 5213, 168033, 66515, 85672, 22015, 569, 759, 85024, 570, 2137, 105415, 568, 9353, 5635, 769, 138, 107, 236772, 5213, 124431, 72174, 66515, 138, 107, 138, 236772, 5213, 19118, 47026, 66515, 111578, 529, 21427, 532, 9426, 573, 180265, 236743, 236812, 236786, 236770, 236770, 25000, 236761, 138, 107, 138, 236772, 5213, 29335, 47026, 66515, 34050, 38731, 568, 236744, 236761, 236759, 1126, 14600, 236858, 236751, 173453, 237066, 236764, 27491, 236858, 236751, 3079, 1741, 7201, 1488, 2533, 17499, 2544, 769, 138, 107, 138, 236772, 5213, 69662, 8817, 66515, 40949, 145408, 568, 236744, 236761, 236759, 1126, 34877, 236858, 236751, 20200, 38543, 236776, 236768, 532, 49073, 236772, 201583, 74683, 236761, 138, 107, 236772, 5213, 13579, 27242, 6307, 66515, 138, 107, 138, 236772, 22282, 77372, 6627, 607, 6330, 180265, 236743, 236828, 236786, 236770, 236770, 11213, 25568, 568, 236744, 236761, 236759, 1126, 11514, 217457, 9226, 24027, 528, 34877, 769, 138, 108, 1018, 12703, 66515, 138, 107, 818, 808, 71494, 236772, 31756, 4585, 87542, 236829, 32769, 173453, 237066, 32462, 7955, 607, 64790, 84474, 531, 3055, 93777, 236772, 204979, 1610, 52923, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 12155, 20232, 42976, 1018, 138, 107, 1018, 72655, 66515, 4585, 117282, 21281, 6417, 573, 6627, 236764, 11421, 236764, 532, 8904, 236761, 138, 107, 1018, 6776, 66515, 138, 107, 236772, 5213, 98346, 36767, 66515, 138, 107, 138, 236772, 5213, 71663, 847, 66515, 86101, 26657, 573, 11213, 8325, 4122, 6607, 568, 236744, 236761, 236759, 1126, 115090, 17499, 4699, 769, 138, 107, 138, 236772, 5213, 191461, 1230, 66515, 16439, 36808, 573, 9226, 12308, 17461, 236761, 138, 107, 138, 236772, 5213, 11099, 847, 66515, 18354, 27820, 4323, 1028, 236772, 85379, 52923, 568, 236744, 236761, 236759, 1126, 623, 136223, 1037, 224181, 236787, 180265, 236743, 236770, 236770, 528, 10659, 4248, 138, 107, 236772, 5213, 46640, 102465, 66515, 138, 107, 138, 236772, 17263, 6607, 573, 236743, 236810, 236771, 236771, 236862, 11421, 528, 40496, 236858, 236751, 70499, 11849, 236761, 138, 107, 138, 236772, 28917, 33862, 24027, 573, 93777, 236772, 204979, 30918, 1954, 236761, 138, 107, 236772, 5213, 75718, 9483, 66515, 138, 107, 138, 236772, 50154, 11213, 236787, 236743, 236812, 236771, 236908, 24027, 568, 236744, 236761, 236759, 1126, 11514, 23727, 3879, 779, 236743, 236800, 236771, 236908, 11961, 206342, 236764, 236743, 236778, 236771, 236908, 15049, 5886, 236764, 236743, 236770, 236771, 236908, 8325, 53460, 236761, 138, 108, 1018, 12703, 66515, 138, 107, 236776, 808, 168033, 508, 39426, 6503, 45012, 236829, 18788, 609, 236778, 236761, 236770, 236792, 573, 15653, 4993, 528, 8770, 573, 86101, 13761, 26657, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 232866, 36376, 236751, 684, 17694, 66515, 138, 107, 139, 236772, 5213, 218471, 66515, 30235, 580, 180265, 236743, 236770, 236770, 568, 223420, 236768, 607, 24332, 210676, 2402, 532, 197724, 145408, 236761, 138, 107, 139, 236772, 5213, 71494, 66515, 23170, 180265, 236743, 236828, 568, 28255, 3877, 236768, 4323, 173453, 237066, 32462, 532, 93777, 236772, 204979, 12230, 236761, 138, 107, 139, 236772, 5213, 179710, 66515, 103523, 607, 1868, 236772, 128828, 180265, 236743, 236770, 236771, 19898, 568, 22504, 20773, 769, 138, 107, 139, 236772, 5213, 168033, 66515, 212649, 180265, 236743, 236812, 568, 52531, 236768, 1343, 3858, 16847, 151230, 236858, 236751, 7363, 1610, 6607, 236761, 138, 108, 236778, 236761, 5213, 90147 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1932, 614, 1610, 15707, 600, 66503, 16403, 3668, 11421, 532, 33627, 9226, 8770, 236764, 840, 564, 1202, 1601, 120022, 672, 607, 4185, 24488, 7675, 531, 7440, 3435, 6627, 236761, 28344, 611, 1161, 506, 13726, 236779, 28964, 236779, 53265, 236779, 501, 236779, 3723, 5904, 531, 8701, 837, 145958, 10916, 1894, 9226, 19898, 236764, 3399, 2913, 236764, 532, 23722, 5527, 3877, 236881, 564, 1461, 531, 8357, 1239, 13792, 528, 1041, 1960, 2731, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53265, 1083, 78493, 29538, 236779, 5640, 1083, 236743, 236812, 236764, 623, 7777, 1083, 623, 103802, 23722, 532, 45256, 3325, 4993, 532, 11723, 51359, 4735, 7760, 573, 784, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236812, 236761, 236832, 827, 623, 7777, 1083, 623, 2292, 236743, 236778, 236771, 236800, 236771, 236764, 5330, 784, 38600, 22317, 506, 4654, 532, 6130, 4354, 531, 11723, 13726, 2913, 236764, 2440, 236764, 3571, 3496, 236764, 1343, 4993, 573, 13726, 2913, 532, 13726, 92403, 236764, 3246, 5726, 236764, 13435, 21584, 236764, 18214, 529, 496, 6540, 529, 8118, 532, 1908, 236772, 132712, 236764, 4185, 46153, 532, 29072, 529, 9226, 15459, 532, 529, 6540, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 12416, 531, 13726, 2913, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236812, 236761, 236832, 236761, 236770, 827, 623, 7777, 1083, 623, 87057, 531, 837, 568, 236747, 236768, 4185, 46153, 4993, 532, 568, 3436, 236768, 4993, 573, 13726, 2913, 659, 31653, 524, 528, 568, 236746, 236768, 4559, 4993, 10034, 236793, 568, 236763, 236768, 25755, 236793, 568, 236755, 236768, 9800, 4993, 236775, 200808, 3714, 29538, 236779, 5640, 1083, 236743, 236828, 236764, 623, 7777, 1083, 623, 21301, 1841, 23226, 236764, 23722, 532, 13726, 5527, 3877, 236764, 2587, 532, 23904, 11155, 532, 16279, 981, 573, 784, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236828, 236761, 236800, 827, 623, 7777, 1083, 623, 21301, 1841, 2913, 236772, 29963, 10034, 600, 1894, 23904, 5085, 236764, 16279, 3195, 11381, 236764, 22622, 5976, 236764, 24597, 532, 13862, 236764, 532, 13491, 506, 10781, 1854, 532, 3877, 529, 4719, 11859, 1944, 236772, 532, 7860, 236772, 21928, 27709, 236764, 2440, 1343, 2802, 531, 4867, 3019, 23179, 3714, 5654, 236779, 5640, 1083, 623, 236828, 236761, 236770, 236771, 827, 623, 7777, 1083, 623, 40308, 84145, 506, 6541, 529, 11451, 4867, 11326, 531, 13491, 532, 6778, 2802, 531, 19257, 236764, 8657, 532, 4867, 3019, 573, 784, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236828, 236761, 236800, 236761, 236770, 827, 623, 7777, 1083, 623, 1489, 33768, 529, 33835, 11155, 528, 1908, 236772, 139667, 11155, 236764, 684, 6043, 23179, 3714, 88932, 236779, 5640, 1083, 623, 236828, 236761, 236770, 236771, 236761, 236770, 827, 623, 7777, 1083, 623, 4452, 529, 6635, 4856, 15092, 810, 236743, 236770, 236771, 236771, 236764, 236771, 236771, 236771, 12795, 236775, 200808, 3714, 29538, 236779, 5640, 1083, 236743, 236770, 236771, 236764, 623, 7777, 1083, 623, 84438, 18292, 2351, 532, 3571, 4808, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236770, 236771, 236761, 236778, 827, 623, 7777, 1083, 623, 2292, 236743, 236778, 236771, 236800, 236771, 236764, 21293, 532, 11723, 506, 2777, 236764, 5527, 532, 5255, 20773, 529, 784, 236764, 61957, 529, 3911, 236764, 6043, 236764, 24890, 236764, 7547, 236764, 69871, 236764, 9059, 236764, 15831, 653, 5527, 653, 1032, 4981, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236770, 236771, 236761, 236778, 236761, 236770, 827, 623, 7777, 1083, 623, 1489, 33768, 529, 1331, 4882, 3426, 236743, 236810, 236771, 3591, 529, 20522, 7094, 236764, 684, 6043, 236764, 3911, 532, 9205, 607, 34541, 236775, 200808, 3714, 29538, 236779, 5640, 1083, 236743, 236770, 236770, 236764, 623, 7777, 1083, 623, 13185, 9979, 532, 3246, 53965, 23722, 236764, 6338, 236764, 51687, 532, 13726, 827, 623, 40674, 1083, 78493, 5654, 236779, 5640, 1083, 623, 236770, 236770, 236761, 236812, 827, 623, 7777, 1083, 623, 40308, 84145, 7880, 531, 3856, 532, 62810, 506, 1902, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 9226, 532, 3756, 23060, 25938, 1604, 623, 202685, 1083, 78493, 88932, 236779, 5640, 1083, 623, 236770, 236770, 236761, 236812, 236761, 236770, 827, 623, 7777, 1083, 623, 9640, 27588, 568, 2153, 532, 2147, 236768, 810, 52956, 7785, 580, 506, 33862, 236764, 6733, 532, 16672, 529, 784, 9226, 532, 3756, 23060, 7088, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 822, 16403, 3668, 1610, 15707, 740, 8913, 607, 7798, 145958, 531, 7440, 6627, 532, 15128, 4185, 4100, 236787, 108, 1018, 236770, 236761, 180265, 236743, 236812, 236787, 19779, 9426, 1018, 138, 107, 236772, 5213, 10206, 236743, 236812, 236761, 236832, 66515, 137615, 9226, 29072, 1343, 1610, 4993, 138, 107, 138, 236829, 4396, 63508, 23949, 28023, 580, 16403, 3668, 1610, 4083, 236764, 6672, 8403, 236764, 532, 24488, 22888, 528, 13859, 607, 2263, 7958, 236786, 39893, 1236, 236761, 138, 107, 138, 236829, 35382, 63508, 30452, 12524, 1948, 15430, 532, 25755, 12434, 607, 9226, 24488, 3004, 236761, 108, 1018, 236778, 236761, 180265, 236743, 236828, 236787, 3901, 533, 5490, 833, 16875, 26608, 1018, 138, 107, 236772, 5213, 10206, 236743, 236828, 236761, 236800, 66515, 12730, 9578, 22622, 5976, 138, 107, 138, 236829, 4396, 63508, 32300, 607, 16403, 3668, 8325, 145408, 236764, 17096, 5888, 15880, 532, 12889, 2913, 7760, 236761, 138, 107, 138, 236829, 35382, 63508, 28333, 3195, 11381, 528, 506, 9226, 7095, 532, 4087, 8325, 7094, 3877, 236761, 138, 107, 236772, 5213, 10206, 236743, 236828, 236761, 236770, 236771, 66515, 84567, 4867, 20773, 138, 107, 138, 236829, 4396, 63508, 200607, 607, 4719, 85685, 11326, 531, 2847, 24027, 236786, 661, 15682, 573, 20222, 11421, 236761, 138, 108, 1018, 236800, 236761, 180265, 236743, 236770, 236771, 236787, 95495, 212417, 1236, 1018, 138, 107, 236772, 5213, 10206, 236743, 236770, 236771, 236761, 236778, 66515, 8779, 20773, 1343, 1610, 138, 107, 138, 236829, 4396, 63508, 37868, 11421, 699, 93838, 8904, 568, 236744, 236761, 236759, 1126, 49175, 4402, 236764, 3607, 236764, 49310, 236862, 44100, 236768, 532, 2729, 2196, 3399, 19520, 9952, 236761, 138, 107, 138, 236829, 35382, 63508, 30452, 15459, 19455, 529, 22765, 11421, 532, 32801, 86236, 236761, 138, 108, 1018, 236812, 236761, 180265, 236743, 236770, 236770, 236787, 48233, 46273, 1018, 138, 107, 236772, 5213, 10206, 236743, 236770, 236770, 236761, 236812, 66515, 53710, 9226, 23060, 138, 107, 138, 236829, 4396, 63508, 129274, 6672, 83918, 568, 236744, 236761, 236759, 1126, 708, 1124, 40249, 3863, 4554, 1965, 236764, 199198, 57005, 236768, 16195, 16236, 4146, 236761, 32300, 607, 49073, 7088, 573, 23060, 33862, 19898, 236761, 138, 107, 138, 236829, 35382, 63508, 21685, 17461, 528, 39983, 9226, 10154, 1343, 52923, 532, 8325, 24027, 236761, 138, 108, 1018, 165108, 45012, 62503, 1018, 138, 107, 236772, 6890, 180265, 236743, 236812, 236786, 236828, 147070, 531, 15474, 49073, 568, 50771, 4993, 236768, 532, 163520, 568, 50694, 8122, 236768, 138, 107, 236772, 212649, 180265, 236743, 236770, 236771, 236786, 236770, 236770, 25000, 531, 7440, 11213, 699, 4109, 5970, 9226, 33862, 6607, 138, 107, 236772, 118189, 180265, 236743, 236828, 14989, 528, 25398, 531, 4100, 13177, 10317, 580, 9578, 13390, 138, 108, 2094, 10318, 10681, 822, 15707, 618, 496, 11825, 1534, 9226, 33862, 236764, 5527, 62901, 236764, 532, 13726, 11321, 2913, 237028, 2478, 28304, 573, 4185, 6627, 12985, 180265, 236772, 4647, 19898, 236761, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 33000, 607, 16403, 3668, 4808, 600, 56856, 9226, 19898, 32769, 607, 1239, 145958, 236761, 28344, 611, 1161, 506, 4808, 236779, 501, 236779, 3723, 5904, 531, 8701, 236743, 236800, 236772, 236810, 16403, 3668, 4808, 600, 735, 3188, 9226, 10034, 4596, 531, 23060, 33862, 568, 8209, 236823, 236743, 236770, 236770, 779, 5527, 7760, 573, 11421, 568, 8209, 236823, 236743, 236828, 779, 532, 12524, 6607, 568, 8209, 236823, 236743, 236812, 20625, 1701, 1546, 2891, 236764, 5091, 3204, 236787, 236743, 236770, 236761, 34883, 15579, 568, 1071, 2731, 132567, 43285, 236768, 236743, 236778, 236761, 73888, 4128, 568, 1071, 3050, 107634, 24481, 236768, 236743, 236800, 236761, 7129, 9226, 236786, 119312, 25268, 528, 910, 4559, 10034, 1174, 795, 1601, 786, 3328, 8325, 67529, 532, 11213, 7760, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41560, 1083, 78493, 1201, 1083, 623, 71494, 827, 623, 70496, 1083, 11058, 227601, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 95602, 236785, 236756, 236771, 236771, 524, 12326, 827, 623, 38428, 1083, 236743, 236778, 236770, 236800, 236812, 236812, 236810, 236812, 236832, 236828, 1263, 3714, 1201, 1083, 623, 109324, 827, 623, 70496, 1083, 11058, 80353, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 60929, 48111, 827, 623, 38428, 1083, 236743, 236812, 236810, 236800, 236832, 236825, 236832, 236825, 236800, 1263, 3714, 1201, 1083, 623, 218471, 827, 623, 70496, 1083, 11058, 80353, 827, 623, 10816, 574, 3271, 827, 623, 236776, 1177, 2032, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 168576, 827, 623, 38428, 1083, 236743, 236800, 236800, 236800, 236819, 236832, 236771, 236800, 236825, 1263, 3714, 1201, 1083, 623, 179710, 827, 623, 70496, 1083, 11058, 80353, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 128573, 557, 236785, 236756, 236771, 236771, 236744, 236770, 827, 623, 38428, 1083, 236743, 236810, 236771, 236828, 236828, 236778, 236828, 236819, 236770, 1263, 3714, 1201, 1083, 623, 168033, 827, 623, 70496, 1083, 11058, 80353, 14255, 623, 13647, 1083, 623, 23425, 5711, 827, 623, 41626, 1083, 623, 209489, 827, 623, 38428, 1083, 236743, 236770, 236819, 236800, 236812, 236819, 236770, 236819, 236771, 165075, 106, 107, 105, 4368, 107, 8409, 506, 5904, 3072, 3847, 91798, 2891, 1262, 236764, 625, 40826, 1982, 4957, 25268, 573, 9226, 23060, 236764, 5527, 7760, 236764, 532, 4993, 236761, 3153, 236764, 2721, 580, 3224, 19898, 532, 506, 1262, 2487, 236764, 1590, 659, 5213, 236800, 13546, 4808, 1018, 573, 822, 1610, 15707, 33000, 236764, 607, 14971, 25000, 531, 145958, 236743, 236770, 236770, 568, 223420, 779, 236743, 236828, 568, 28255, 3877, 779, 532, 236743, 236812, 568, 52531, 1473, 108, 7243, 108, 10354, 5213, 236770, 236761, 40496, 1018, 138, 107, 236772, 5213, 100535, 66515, 14361, 236764, 7523, 574, 3271, 236764, 562, 1177, 2032, 138, 107, 236772, 5213, 30532, 66515, 199198, 4844, 14073, 568, 1587, 28811, 2802, 4323, 49830, 236858, 236751, 5251, 2411, 236786, 140323, 236768, 138, 107, 236772, 5213, 111534, 236786, 75718, 77453, 66515, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 6863, 531, 236743, 236770, 236800, 49073, 4109, 28917, 63558, 568, 236744, 236761, 236759, 1126, 226319, 207827, 236764, 43902, 11368, 529, 197724, 779, 607, 4559, 6607, 1133, 506, 808, 20918, 7955, 529, 21427, 236829, 20329, 6672, 199198, 57169, 57919, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236828, 236761, 236800, 66515, 6110, 12765, 86165, 145408, 568, 236744, 236761, 236759, 1126, 197724, 87842, 6022, 236768, 531, 12277, 23722, 5527, 3877, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236812, 236761, 236832, 66515, 28043, 25139, 7523, 574, 3271, 532, 562, 1177, 2032, 9226, 4993, 236764, 120022, 607, 822, 97460, 43285, 7760, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 200607, 607, 49830, 236858, 236751, 72426, 29143, 1364, 568, 1734, 236772, 1980, 3464, 1037, 1610, 236768, 532, 197724, 236858, 236751, 86165, 12230, 573, 52923, 532, 12889, 236772, 21125, 28023, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 14600, 1018, 138, 107, 236772, 5213, 100535, 66515, 41082, 138, 107, 236772, 5213, 30532, 66515, 17792, 4257, 5711, 568, 1587, 28811, 15039, 528, 30342, 29150, 236786, 204979, 77700, 236768, 138, 107, 236772, 5213, 111534, 236786, 75718, 77453, 66515, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 49073, 236772, 87892, 7088, 568, 236744, 236761, 236759, 1126, 43644, 569, 112524, 236858, 236751, 33849, 13217, 236768, 532, 19898, 1133, 506, 808, 135255, 776, 119457, 88821, 23152, 99797, 545, 4585, 53950, 22015, 568, 4012, 75023, 12016, 573, 93777, 236772, 204979, 9226, 33862, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236828, 236761, 236770, 236771, 66515, 41327, 1133, 808, 1489, 2714, 236829, 568, 121175, 29150, 236858, 236751, 15653, 11213, 236768, 532, 808, 236799, 2885, 1740, 236829, 568, 28964, 4856, 236768, 1894, 8325, 4719, 236772, 1568, 1639, 532, 9226, 22622, 5976, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236812, 236761, 236832, 66515, 999, 158967, 236772, 128379, 3284, 2758, 236919, 10034, 11723, 93777, 236772, 724, 21134, 1610, 528, 1237, 7958, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 32300, 607, 30342, 29150, 236858, 236751, 93777, 71494, 11109, 532, 23249, 569, 49727, 236858, 236751, 808, 103811, 32462, 77906, 776, 23463, 236829, 573, 52923, 532, 8325, 5894, 5201, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 34877, 1018, 138, 107, 236772, 5213, 100535, 66515, 14361, 138, 107, 236772, 5213, 30532, 66515, 15632, 97740, 568, 1587, 28811, 2802, 4323, 138518, 532, 194196, 236768, 138, 107, 236772, 5213, 111534, 236786, 75718, 77453, 66515, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 138518, 236858, 236751, 808, 135255, 6063, 175321, 569, 213832, 32462, 236829, 56945, 33849, 532, 49175, 23060, 236761, 49073, 236772, 34807, 7088, 1133, 204093, 236858, 236751, 17110, 3988, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236828, 236761, 236800, 66515, 6110, 236772, 64555, 9578, 8122, 19898, 568, 236744, 236761, 236759, 1126, 808, 2023, 3765, 508, 8815, 569, 34877, 17616, 1894, 236743, 236770, 236778, 236771, 236764, 236771, 236771, 236771, 236862, 90760, 236761, 138, 107, 138, 236772, 5213, 8209, 236823, 236743, 236812, 236761, 236832, 66515, 999, 32343, 2103, 1642, 759, 1700, 32420, 4666, 570, 759, 62906, 236919, 5132, 9226, 15459, 528, 2528, 125744, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 200607, 607, 138518, 236858, 236751, 808, 157663, 236748, 1162, 82129, 236829, 568, 1734, 236772, 1980, 3464, 1037, 5122, 1610, 236768, 532, 194196, 236858, 236751, 808, 2740, 805, 31001, 569, 80861, 216472, 102591, 236829, 573, 8325, 24027, 532, 12524, 6607, 236761, 108, 7243, 108, 10354, 5213, 61192, 236787, 27491, 568, 8209, 236823, 236743, 236770, 236770, 30235, 62902, 138, 107, 236772, 5213, 100535, 66515, 14361, 138, 107, 236772, 5213, 30532, 66515, 14105, 107857, 568, 1587, 28811, 2802, 4323, 44554, 532, 3858, 16847, 151230, 236768, 138, 107, 236772, 5213, 8209, 236823, 236743, 236770, 236770, 236761, 236812, 66515, 3858, 16847, 151230, 236858, 236751, 17110, 7737, 563, 496, 49073, 3432, 236764, 607, 3251, 236772, 61827, 24037, 529, 130235, 532, 7363, 1610, 236761, 138, 107, 236772, 5213, 131115, 1837, 13739, 66515, 32300, 607, 3858, 16847, 151230, 236858, 236751, 808, 157663, 236748, 569, 16384, 527, 105415, 236829, 573, 23060, 236772, 68122, 52923, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 13666, 53300, 98916, 66515, 6890, 14361, 618, 496, 3364, 5192, 573, 1346, 4808, 236764, 840, 56856, 7523, 574, 3271, 236786, 236776, 1177, 2032, 15154, 528, 40496, 236761, 138, 107, 236778, 236761, 5213, 20884, 6498, 66515, 1701, 19276, 25268, 236764, 6618, 49073, 236858, 236751, 808, 53783, 573, 48233, 8236, 236829, 7948, 653, 1546, 2891, 236858, 236751, 14815, 529, 21427, 7248, 236761, 138, 107, 236800, 236761, 5213, 4153, 28811, 22113, 66515, 22282, 77372, 9979, 607, 5251, 52132, 236786, 236754, 24611, 568, 168576, 236764, 138518, 236764, 30342, 29150, 236768, 573, 2157, 236772, 25931, 12631, 236786, 14131, 847, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 11403, 25398, 653, 21558, 11213, 12762, 528, 1239, 4808, 236881, 106, 107, 105, 2364, 107, 2021, 12262, 5225, 11403, 25398, 532, 8701, 11213, 12762, 528, 40496, 236764, 14600, 236764, 34877, 236764, 532, 27491, 236764, 564, 236858, 859, 1161, 506, 5213, 16212, 3536, 236779, 501, 236779, 3723, 1018, 5904, 531, 33205, 31044, 44362, 573, 15523, 1702, 532, 73987, 25000, 236761, 1174, 795, 5330, 822, 25398, 659, 14971, 236764, 180265, 236772, 4647, 236764, 532, 36443, 531, 1546, 2891, 236858, 236751, 28304, 236761, 5213, 7029, 531, 2970, 66515, 28344, 611, 1161, 506, 5213, 16212, 3536, 236779, 501, 236779, 3723, 1018, 5904, 531, 33205, 44362, 1288, 618, 236787, 236743, 236770, 236761, 5213, 236775, 21009, 236772, 15607, 236772, 178899, 236775, 1018, 568, 1071, 3904, 25398, 2101, 180265, 236772, 4647, 9226, 236786, 28255, 8991, 532, 822, 15707, 236858, 236751, 5434, 769, 236743, 236778, 236761, 5213, 236775, 233149, 5317, 13768, 236775, 1018, 568, 1071, 4187, 2307, 94214, 236764, 9226, 11326, 236764, 532, 11213, 12762, 528, 1546, 2891, 769, 236743, 236800, 236761, 5213, 236775, 3135, 20232, 42976, 236775, 1018, 568, 1071, 81587, 21281, 6417, 573, 6627, 236764, 11421, 236764, 532, 8904, 20625, 1174, 795, 2847, 83979, 23693, 531, 10781, 969, 822, 43285, 7545, 532, 11213, 6182, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6617, 236751, 1083, 78493, 1201, 1083, 623, 21009, 236772, 15607, 236772, 178899, 36376, 827, 623, 7777, 1083, 623, 155399, 25398, 2101, 38673, 8991, 32769, 607, 145958, 236743, 236812, 568, 40213, 9426, 236768, 532, 236743, 236828, 568, 8724, 533, 5490, 779, 79720, 9226, 236786, 28255, 2913, 1343, 1610, 10498, 623, 6502, 1083, 3714, 43510, 236779, 28263, 1083, 623, 137938, 28893, 528, 9226, 12308, 532, 5527, 7760, 573, 11421, 827, 623, 47213, 236779, 20593, 1083, 623, 1489, 3518, 15707, 236772, 991, 19898, 37803, 2263, 28968, 607, 4185, 1610, 9766, 827, 623, 102625, 236779, 36756, 1083, 623, 20170, 1891, 180265, 18506, 1343, 11155, 19455, 532, 3399, 15154, 150180, 23179, 623, 8358, 1083, 623, 218471, 32462, 111543, 7879, 236787, 95495, 8325, 27798, 684, 236743, 236800, 236832, 236908, 1343, 11514, 236772, 61827, 19520, 12230, 827, 623, 89071, 1083, 11058, 3743, 145958, 36376, 827, 623, 111534, 29448, 42177, 568, 236778, 236771, 236778, 236800, 236768, 152254, 3714, 1201, 1083, 623, 233149, 5317, 13768, 28707, 827, 623, 7777, 1083, 623, 62999, 4893, 236772, 26427, 532, 77952, 3418, 1237, 236764, 2147, 236764, 532, 8202, 18597, 528, 199198, 532, 9593, 1037, 9576, 827, 623, 63265, 1083, 3714, 10310, 236779, 21878, 236779, 8545, 1083, 623, 30255, 77372, 94214, 568, 236744, 236761, 236759, 1126, 40496, 236789, 236751, 24332, 210676, 2402, 236768, 7728, 236761, 2263, 145408, 827, 623, 83852, 236779, 36756, 1083, 623, 137938, 13818, 84105, 528, 4559, 1610, 56281, 532, 5251, 38731, 827, 623, 54520, 236779, 8318, 6307, 1083, 623, 186922, 180265, 37031, 607, 11514, 217457, 9226, 6607, 23179, 623, 8358, 1083, 623, 71494, 236772, 31756, 4585, 87542, 236787, 82521, 32769, 173453, 236785, 236756, 236771, 236771, 5742, 32462, 7955, 607, 64790, 48815, 236785, 236756, 236771, 236771, 236744, 236832, 2224, 12230, 827, 623, 89071, 1083, 11058, 136258, 1008, 610, 236761, 118122, 5317, 18188, 827, 623, 181787, 21982, 236772, 144650, 5317, 54442, 152254, 3714, 1201, 1083, 623, 3135, 20232, 42976, 827, 623, 7777, 1083, 623, 185310, 8324, 66431, 607, 3399, 4100, 1343, 14413, 236772, 2394, 11381, 4681, 827, 623, 28145, 1083, 3714, 59937, 236779, 124918, 1083, 623, 38335, 27820, 528, 20222, 9766, 236764, 49073, 25000, 236764, 3869, 36808, 827, 623, 37939, 236779, 725, 10927, 1083, 623, 13149, 8325, 4122, 6607, 236764, 9226, 23060, 33862, 827, 623, 28255, 236779, 4368, 1083, 623, 131022, 11213, 1343, 24027, 236764, 11961, 206342, 236764, 532, 15049, 10471, 23179, 623, 8358, 1083, 623, 168033, 508, 39426, 6503, 45012, 236787, 609, 236778, 236761, 236770, 236792, 15653, 4993, 3055, 528, 8770, 573, 86101, 13761, 26657, 827, 623, 89071, 1083, 11058, 42928, 4288, 12155, 20232, 7803, 827, 623, 236799, 10201, 27938, 8813, 36376, 99471, 1604, 623, 21052, 1083, 3714, 19645, 236779, 44384, 1083, 11058, 218471, 827, 623, 71494, 827, 623, 179710, 827, 623, 168033, 14255, 623, 11102, 236759, 236779, 54520, 1083, 11058, 8209, 236823, 236743, 236812, 827, 623, 8209, 236823, 236743, 236828, 827, 623, 8209, 236823, 236743, 236770, 236770, 14255, 623, 6010, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 1217, 531, 5510, 506, 44362, 531, 3904, 822, 11403, 25398, 532, 11213, 11298, 573, 16403, 3668, 4808, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 20050, 236772, 15607, 236772, 178899, 36376, 1018, 138, 107, 1018, 72655, 66515, 4585, 117282, 180265, 236772, 4647, 9226, 236786, 28255, 8991, 532, 822, 15707, 236858, 236751, 3853, 528, 17900, 1091, 236761, 138, 107, 1018, 6776, 66515, 138, 107, 236772, 5213, 21009, 13768, 66515, 138, 107, 138, 236772, 5213, 218471, 66515, 236743, 236812, 236800, 236908, 529, 90760, 6220, 2802, 531, 5251, 9766, 568, 16008, 210676, 2402, 1262, 769, 138, 107, 138, 236772, 5213, 71494, 66515, 93777, 236772, 204979, 9226, 23060, 7088, 3392, 1208, 162606, 236761, 138, 107, 138, 236772, 5213, 179710, 66515, 6531, 236772, 128828, 9576, 16438, 531, 170376, 606, 11421, 1131, 10781, 30296, 236761, 138, 107, 138, 236772, 5213, 168033, 66515, 26762, 236772, 116994, 104396, 528, 9226, 6828, 236761, 138, 107, 236772, 5213, 15607, 7803, 66515, 138, 107, 138, 236772, 8600, 623, 50771, 75191, 236775, 35007, 2263, 11421, 531, 4185, 21192, 4323, 822, 15707, 236858, 236751, 5058, 236761, 138, 107, 138, 236772, 32300, 607, 49073, 531, 1028, 236772, 19995, 52923, 568, 236744, 236761, 236759, 1126, 623, 202880, 110680, 236787, 199198, 207787, 4248, 138, 107, 236772, 5213, 178899, 72174, 66515, 138, 107, 138, 236772, 180265, 236743, 236828, 236787, 30452, 8325, 11155, 6224, 877, 236786, 3274, 236772, 232958, 236761, 138, 107, 138, 236772, 180265, 236743, 236770, 236770, 236787, 15864, 1891, 23060, 33862, 1343, 8325, 24027, 573, 6672, 8403, 236761, 138, 108, 1018, 12703, 66515, 138, 107, 236829, 218471, 32462, 111543, 7879, 236829, 7005, 8325, 27798, 684, 236743, 236800, 236832, 236908, 684, 18024, 197724, 90760, 531, 11514, 9766, 4323, 24027, 532, 52923, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 118122, 5317, 13768, 28707, 1018, 138, 107, 1018, 72655, 66515, 49644, 2307, 4893, 236772, 26427, 532, 77952, 528, 1546, 2891, 236761, 138, 107, 1018, 6776, 66515, 138, 107, 236772, 5213, 13238, 236772, 18312, 236786, 13238, 236772, 34430, 66515, 138, 107, 138, 236772, 5213, 218471, 66515, 14815, 529, 20370, 17648, 532, 37728, 568, 16008, 210676, 2402, 779, 40496, 236858, 236751, 4025, 7955, 529, 21427, 236761, 138, 107, 138, 236772, 5213, 71494, 66515, 14815, 529, 21427, 236764, 173453, 237066, 32462, 7955, 236761, 138, 107, 138, 236772, 5213, 179710, 66515, 14815, 529, 21427, 236764, 105415, 508, 8815, 569, 34877, 236761, 138, 107, 138, 236772, 5213, 168033, 66515, 85672, 22015, 569, 759, 85024, 570, 2137, 105415, 568, 9353, 5635, 769, 138, 107, 236772, 5213, 124431, 72174, 66515, 138, 107, 138, 236772, 5213, 19118, 47026, 66515, 111578, 529, 21427, 532, 9426, 573, 180265, 236743, 236812, 236786, 236770, 236770, 25000, 236761, 138, 107, 138, 236772, 5213, 29335, 47026, 66515, 34050, 38731, 568, 236744, 236761, 236759, 1126, 14600, 236858, 236751, 173453, 237066, 236764, 27491, 236858, 236751, 3079, 1741, 7201, 1488, 2533, 17499, 2544, 769, 138, 107, 138, 236772, 5213, 69662, 8817, 66515, 40949, 145408, 568, 236744, 236761, 236759, 1126, 34877, 236858, 236751, 20200, 38543, 236776, 236768, 532, 49073, 236772, 201583, 74683, 236761, 138, 107, 236772, 5213, 13579, 27242, 6307, 66515, 138, 107, 138, 236772, 22282, 77372, 6627, 607, 6330, 180265, 236743, 236828, 236786, 236770, 236770, 11213, 25568, 568, 236744, 236761, 236759, 1126, 11514, 217457, 9226, 24027, 528, 34877, 769, 138, 108, 1018, 12703, 66515, 138, 107, 818, 808, 71494, 236772, 31756, 4585, 87542, 236829, 32769, 173453, 237066, 32462, 7955, 607, 64790, 84474, 531, 3055, 93777, 236772, 204979, 1610, 52923, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 12155, 20232, 42976, 1018, 138, 107, 1018, 72655, 66515, 4585, 117282, 21281, 6417, 573, 6627, 236764, 11421, 236764, 532, 8904, 236761, 138, 107, 1018, 6776, 66515, 138, 107, 236772, 5213, 98346, 36767, 66515, 138, 107, 138, 236772, 5213, 71663, 847, 66515, 86101, 26657, 573, 11213, 8325, 4122, 6607, 568, 236744, 236761, 236759, 1126, 115090, 17499, 4699, 769, 138, 107, 138, 236772, 5213, 191461, 1230, 66515, 16439, 36808, 573, 9226, 12308, 17461, 236761, 138, 107, 138, 236772, 5213, 11099, 847, 66515, 18354, 27820, 4323, 1028, 236772, 85379, 52923, 568, 236744, 236761, 236759, 1126, 623, 136223, 1037, 224181, 236787, 180265, 236743, 236770, 236770, 528, 10659, 4248, 138, 107, 236772, 5213, 46640, 102465, 66515, 138, 107, 138, 236772, 17263, 6607, 573, 236743, 236810, 236771, 236771, 236862, 11421, 528, 40496, 236858, 236751, 70499, 11849, 236761, 138, 107, 138, 236772, 28917, 33862, 24027, 573, 93777, 236772, 204979, 30918, 1954, 236761, 138, 107, 236772, 5213, 75718, 9483, 66515, 138, 107, 138, 236772, 50154, 11213, 236787, 236743, 236812, 236771, 236908, 24027, 568, 236744, 236761, 236759, 1126, 11514, 23727, 3879, 779, 236743, 236800, 236771, 236908, 11961, 206342, 236764, 236743, 236778, 236771, 236908, 15049, 5886, 236764, 236743, 236770, 236771, 236908, 8325, 53460, 236761, 138, 108, 1018, 12703, 66515, 138, 107, 236776, 808, 168033, 508, 39426, 6503, 45012, 236829, 18788, 609, 236778, 236761, 236770, 236792, 573, 15653, 4993, 528, 8770, 573, 86101, 13761, 26657, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 232866, 36376, 236751, 684, 17694, 66515, 138, 107, 139, 236772, 5213, 218471, 66515, 30235, 580, 180265, 236743, 236770, 236770, 568, 223420, 236768, 607, 24332, 210676, 2402, 532, 197724, 145408, 236761, 138, 107, 139, 236772, 5213, 71494, 66515, 23170, 180265, 236743, 236828, 568, 28255, 3877, 236768, 4323, 173453, 237066, 32462, 532, 93777, 236772, 204979, 12230, 236761, 138, 107, 139, 236772, 5213, 179710, 66515, 103523, 607, 1868, 236772, 128828, 180265, 236743, 236770, 236771, 19898, 568, 22504, 20773, 769, 138, 107, 139, 236772, 5213, 168033, 66515, 212649, 180265, 236743, 236812, 568, 52531, 236768, 1343, 3858, 16847, 151230, 236858, 236751, 7363, 1610, 6607, 236761, 138, 108, 236778, 236761, 5213, 90147 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 2958, 3435, 11024, 573, 496, 3402, 8459, 7500, 9626, 21154, 236761, 9187, 684, 1699, 506, 8339, 236779, 125812, 5904, 531, 1586, 506, 1903, 236743, 236810, 9979, 607, 506, 14723, 2157, 529, 4882, 236761, 4298, 236764, 2426, 1724, 9979, 236789, 4398, 8379, 23257, 1699, 506, 1638, 5904, 236761, 1637, 7293, 2874, 496, 7081, 236743, 236810, 236771, 141533, 14272, 236764, 6778, 506, 3927, 531, 72308, 236779, 125812, 236761, 13472, 236764, 10769, 506, 1903, 236743, 236800, 3835, 3418, 1800, 9576, 2721, 580, 10022, 11646, 568, 27495, 22988, 1208, 236743, 236778, 236771, 237366, 236811, 24321, 236768, 532, 33417, 531, 3262, 5754, 16266, 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, 4000, 1083, 623, 46456, 11995, 236764, 2506, 2483, 827, 623, 2086, 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, 1516, 1083, 78493, 13319, 1083, 623, 114476, 236764, 29067, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236812, 236778, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236832, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 1263, 3714, 13319, 1083, 623, 149997, 236764, 28963, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236770, 236771, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236828, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236800, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236825, 236761, 236810, 1263, 3714, 13319, 1083, 623, 894, 236761, 11210, 236764, 17231, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236800, 236810, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236770, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236819, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 1263, 3714, 13319, 1083, 623, 161275, 236764, 13187, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236812, 236778, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236800, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236770, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236832, 236761, 236770, 1263, 3714, 13319, 1083, 623, 192038, 236764, 28963, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236810, 236828, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236825, 236778, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236812, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236828, 236761, 236819, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236832, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 2086, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 13319, 1083, 623, 209489, 236764, 27491, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236832, 236810, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236825, 236778, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236770, 236828, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 13238, 568, 36344, 2411, 2802, 16291, 1263, 3714, 13319, 1083, 623, 119392, 10540, 236764, 72902, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236825, 236771, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236810, 236828, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236770, 236810, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 166920, 568, 93855, 15039, 16291, 1263, 3714, 13319, 1083, 623, 60929, 48111, 236764, 24423, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236778, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236812, 236810, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236778, 236778, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 13238, 568, 7195, 2411, 1458, 16291, 1263, 3714, 13319, 1083, 623, 168576, 236764, 40496, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236812, 236828, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236812, 236771, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236770, 236778, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 13238, 568, 47204, 2411, 2802, 16291, 1263, 3714, 13319, 1083, 623, 12504, 713, 236785, 236756, 236771, 236771, 524, 236749, 236764, 34877, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236812, 236810, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236800, 236828, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236828, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 166920, 568, 61736, 806, 24974, 16291, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 4000, 236779, 2086, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 3671, 236764, 506, 1903, 236743, 236800, 13176, 573, 506, 8459, 7500, 9626, 21154, 4563, 659, 236787, 108, 236770, 236761, 5213, 209489, 236764, 27491, 1018, 138, 107, 139, 236772, 35267, 22988, 236787, 236743, 236770, 236828, 237366, 236811, 568, 232965, 655, 236778, 236771, 237366, 236811, 13469, 236768, 138, 107, 139, 236772, 1255, 123428, 531, 5754, 16266, 236787, 4819, 568, 36344, 2411, 2802, 236768, 138, 107, 139, 236772, 9513, 4249, 236787, 236743, 236832, 236810, 141533, 138, 108, 236778, 236761, 5213, 168576, 236764, 40496, 1018, 138, 107, 139, 236772, 35267, 22988, 236787, 236743, 236770, 236778, 237366, 236811, 568, 143521, 11646, 236768, 138, 107, 139, 236772, 1255, 123428, 531, 5754, 16266, 236787, 4819, 568, 47204, 2411, 2802, 236768, 138, 107, 139, 236772, 9513, 4249, 236787, 236743, 236812, 236828, 141533, 568, 174991, 3426, 14272, 840, 5754, 15644, 1149, 9815, 236768, 138, 108, 236800, 236761, 5213, 119392, 10540, 236764, 72902, 1018, 138, 107, 139, 236772, 35267, 22988, 236787, 236743, 236770, 236810, 237366, 236811, 568, 63914, 11646, 236768, 138, 107, 139, 236772, 1255, 123428, 531, 5754, 16266, 236787, 90434, 568, 93855, 15039, 236768, 138, 107, 139, 236772, 9513, 4249, 236787, 236743, 236825, 236771, 141533, 138, 108, 1018, 3503, 76374, 53121, 138, 107, 236772, 2301, 4695, 3668, 9979, 1645, 506, 4022, 22988, 13469, 44229, 236778, 236771, 237366, 236811, 769, 138, 107, 236772, 44554, 532, 49830, 2729, 506, 1791, 10022, 11646, 532, 3188, 5754, 9116, 2802, 236761, 138, 107, 236772, 184422, 4728, 496, 20433, 5086, 607, 21037, 5754, 2802, 532, 7516, 10022, 236761, 138, 108, 38786, 611, 1133, 3342, 4889, 580, 1027, 529, 1239, 11024, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 2958, 3435, 11024, 573, 496, 3402, 8459, 7500, 9626, 21154, 236761, 9187, 684, 1699, 506, 8339, 236779, 125812, 5904, 531, 1586, 506, 1903, 236743, 236810, 9979, 607, 506, 14723, 2157, 529, 4882, 236761, 4298, 236764, 2426, 1724, 9979, 236789, 4398, 8379, 23257, 1699, 506, 1638, 5904, 236761, 1637, 7293, 2874, 496, 7081, 236743, 236810, 236771, 141533, 14272, 236764, 6778, 506, 3927, 531, 72308, 236779, 125812, 236761, 13472, 236764, 10769, 506, 1903, 236743, 236800, 3835, 3418, 1800, 9576, 2721, 580, 10022, 11646, 568, 27495, 22988, 1208, 236743, 236778, 236771, 237366, 236811, 24321, 236768, 532, 33417, 531, 3262, 5754, 16266, 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, 4000, 1083, 623, 46456, 11995, 236764, 2506, 2483, 827, 623, 2086, 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, 1516, 1083, 78493, 13319, 1083, 623, 114476, 236764, 29067, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236812, 236778, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236832, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 1263, 3714, 13319, 1083, 623, 149997, 236764, 28963, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236770, 236771, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236828, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236800, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236825, 236761, 236810, 1263, 3714, 13319, 1083, 623, 894, 236761, 11210, 236764, 17231, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236800, 236810, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236770, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236819, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 1263, 3714, 13319, 1083, 623, 161275, 236764, 13187, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236812, 236778, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236800, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236770, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236832, 236761, 236770, 1263, 3714, 13319, 1083, 623, 192038, 236764, 28963, 827, 623, 13769, 236779, 1708, 236779, 10774, 236779, 495, 236779, 149508, 1083, 236743, 236810, 236810, 236828, 236771, 236771, 236764, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236825, 236778, 236764, 623, 18553, 236779, 7617, 236779, 92394, 236779, 78067, 1083, 236743, 236778, 236812, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 236779, 8318, 1083, 236743, 236828, 236761, 236819, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236832, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 2086, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 13319, 1083, 623, 209489, 236764, 27491, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236832, 236810, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236825, 236778, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236770, 236828, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 13238, 568, 36344, 2411, 2802, 16291, 1263, 3714, 13319, 1083, 623, 119392, 10540, 236764, 72902, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236825, 236771, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236810, 236828, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236770, 236810, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 166920, 568, 93855, 15039, 16291, 1263, 3714, 13319, 1083, 623, 60929, 48111, 236764, 24423, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236810, 236778, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236812, 236810, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236778, 236778, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 13238, 568, 7195, 2411, 1458, 16291, 1263, 3714, 13319, 1083, 623, 168576, 236764, 40496, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236812, 236828, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236812, 236771, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236770, 236778, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 13238, 568, 47204, 2411, 2802, 16291, 1263, 3714, 13319, 1083, 623, 12504, 713, 236785, 236756, 236771, 236771, 524, 236749, 236764, 34877, 827, 623, 78390, 236779, 11243, 236779, 10463, 975, 1083, 236743, 236812, 236810, 236764, 623, 13769, 236779, 1340, 236779, 54301, 236779, 2662, 1083, 236743, 236800, 236828, 236764, 623, 27495, 236779, 92394, 236779, 236760, 1083, 236743, 236828, 236764, 623, 236071, 236779, 1071, 236779, 41454, 236779, 16730, 1083, 623, 166920, 568, 61736, 806, 24974, 16291, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 4000, 236779, 2086, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 3671, 236764, 506, 1903, 236743, 236800, 13176, 573, 506, 8459, 7500, 9626, 21154, 4563, 659, 236787, 108, 236770, 236761, 5213, 209489, 236764, 27491, 1018, 138, 107, 139, 236772, 35267, 22988, 236787, 236743, 236770, 236828, 237366, 236811, 568, 232965, 655, 236778, 236771, 237366, 236811, 13469, 236768, 138, 107, 139, 236772, 1255, 123428, 531, 5754, 16266, 236787, 4819, 568, 36344, 2411, 2802, 236768, 138, 107, 139, 236772, 9513, 4249, 236787, 236743, 236832, 236810, 141533, 138, 108, 236778, 236761, 5213, 168576, 236764, 40496, 1018, 138, 107, 139, 236772, 35267, 22988, 236787, 236743, 236770, 236778, 237366, 236811, 568, 143521, 11646, 236768, 138, 107, 139, 236772, 1255, 123428, 531, 5754, 16266, 236787, 4819, 568, 47204, 2411, 2802, 236768, 138, 107, 139, 236772, 9513, 4249, 236787, 236743, 236812, 236828, 141533, 568, 174991, 3426, 14272, 840, 5754, 15644, 1149, 9815, 236768, 138, 108, 236800, 236761, 5213, 119392, 10540, 236764, 72902, 1018, 138, 107, 139, 236772, 35267, 22988, 236787, 236743, 236770, 236810, 237366, 236811, 568, 63914, 11646, 236768, 138, 107, 139, 236772, 1255, 123428, 531, 5754, 16266, 236787, 90434, 568, 93855, 15039, 236768, 138, 107, 139, 236772, 9513, 4249, 236787, 236743, 236825, 236771, 141533, 138, 108, 1018, 3503, 76374, 53121, 138, 107, 236772, 2301, 4695, 3668, 9979, 1645, 506, 4022, 22988, 13469, 44229, 236778, 236771, 237366, 236811, 769, 138, 107, 236772, 44554, 532, 49830, 2729, 506, 1791, 10022, 11646, 532, 3188, 5754, 9116, 2802, 236761, 138, 107, 236772, 184422, 4728, 496, 20433, 5086, 607, 21037, 5754, 2802, 532, 7516, 10022, 236761, 138, 108, 38786, 611, 1133, 3342, 4889, 580, 1027, 529, 1239, 11024, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 65911, 3393, 236743, 236800, 236800, 236812, 236771, 236770, 573, 786, 236881, 564, 236789, 236757, 35447, 496, 3399, 15653, 14680, 657, 506, 55389, 11109, 532, 1461, 531, 3204, 2263, 70836, 528, 1023, 42527, 5417, 236761, 3792, 786, 1281, 768, 993, 236789, 236751, 4658, 6121, 1003, 506, 2433, 564, 740, 8357, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236800, 236800, 236812, 236771, 236770, 827, 623, 13319, 1083, 623, 20163, 36776, 11877, 827, 623, 3255, 1083, 623, 80409, 827, 623, 78660, 1083, 623, 97890, 11877, 5796, 827, 623, 37673, 1083, 236743, 236778, 236825, 236761, 236832, 236770, 236810, 236764, 623, 41713, 1083, 753, 236828, 236771, 236761, 236771, 236810, 236778, 236810, 236764, 623, 204012, 1083, 11058, 153166, 11109, 529, 4585, 827, 623, 17698, 24698, 622, 9316, 827, 623, 97890, 11877, 51817, 833, 29329, 8817, 14255, 623, 38428, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 236764, 623, 7376, 1083, 623, 170425, 4844, 36776, 11877, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 65911, 3393, 236743, 236800, 236800, 236812, 236771, 236770, 528, 4844, 36776, 11877, 236764, 10964, 236787, 108, 1018, 6375, 70731, 53121, 107, 236772, 5213, 153166, 11109, 529, 4585, 1018, 568, 17993, 19573, 15520, 753, 562, 16086, 9226, 16253, 18482, 3668, 236764, 6693, 236764, 532, 16236, 1610, 107, 236772, 5213, 17698, 24698, 622, 9316, 1018, 753, 562, 28239, 9726, 236772, 1930, 12892, 607, 17320, 236764, 12616, 236764, 532, 16357, 107, 236772, 5213, 97890, 11877, 51817, 833, 29329, 8817, 1018, 753, 562, 2523, 236772, 18865, 29433, 607, 1024, 236743, 236810, 236771, 236771, 8075, 108, 1018, 27779, 20303, 53121, 107, 236772, 45941, 528, 48630, 4844, 36776, 11877, 568, 36713, 3727, 2109, 3435, 15520, 107, 236772, 39208, 236787, 2578, 236770, 236812, 236810, 236764, 236771, 236771, 236771, 10465, 528, 506, 2433, 107, 236772, 5796, 11171, 529, 36776, 11877, 5796, 108, 2542, 822, 42527, 5417, 236764, 611, 2473, 37837, 506, 15653, 236772, 41889, 4563, 607, 506, 55389, 11109, 618, 496, 110263, 236764, 1651, 992, 41671, 506, 2433, 236789, 236751, 36453, 532, 39435, 32468, 1133, 506, 48971, 532, 4085, 24698, 622, 9316, 236761, 669, 22964, 4563, 12205, 13139, 31087, 532, 3435, 573, 3998, 8827, 1913, 506, 14680, 236761, 106, 107, 105, 2364, 107, 236806, 1810, 236764, 564, 1164, 1053, 496, 10455, 4317, 236888, 28344, 611, 1385, 872, 1938, 1003, 109684, 585, 1699, 506, 8075, 5904, 236881, 669, 36776, 11877, 51817, 563, 886, 529, 1023, 14942, 32468, 236764, 532, 564, 5630, 9333, 1724, 9514, 107774, 993, 236761, 564, 236789, 236753, 2765, 531, 1281, 919, 1003, 910, 6868, 532, 16672, 7880, 753, 7463, 692, 740, 2619, 496, 2317, 756, 9175, 529, 506, 13695, 236789, 7824, 18024, 506, 14680, 531, 2263, 23092, 236761, 3574, 901, 735, 1027, 6121, 10797, 1003, 910, 45034, 522, 9935, 653, 64156, 64624, 236881, 14212, 1451, 30463, 1070, 9578, 4820, 528, 1023, 42527, 5417, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 38903, 1083, 623, 89785, 89965, 827, 623, 184507, 236779, 4818, 1083, 623, 73388, 4561, 827, 623, 59820, 1083, 623, 20251, 2455, 130492, 573, 6733, 532, 52679, 19020, 827, 623, 115828, 1083, 623, 201535, 5957, 236772, 143342, 580, 56758, 532, 1944, 218685, 827, 623, 171971, 1083, 623, 224495, 9551, 32461, 236764, 217033, 236764, 532, 14791, 1674, 2139, 827, 623, 124682, 236779, 18377, 1083, 623, 42974, 9514, 84356, 3952, 699, 192035, 1433, 85638, 528, 910, 9337, 827, 623, 236757, 1194, 236779, 226413, 1083, 623, 228323, 606, 2299, 200662, 19365, 607, 2228, 236772, 16213, 3801, 532, 17650, 236772, 235888, 23179, 3714, 38903, 1083, 623, 1933, 497, 89965, 827, 623, 184507, 236779, 4818, 1083, 623, 39952, 26751, 827, 623, 59820, 1083, 623, 20251, 19707, 64597, 43142, 580, 52108, 32461, 827, 623, 115828, 1083, 623, 18146, 5411, 528, 49147, 95856, 532, 1944, 45125, 149047, 827, 623, 171971, 1083, 623, 236751, 9681, 32461, 532, 52352, 25980, 60408, 827, 623, 124682, 236779, 18377, 1083, 623, 4881, 19635, 528, 1813, 872, 531, 236743, 236825, 236825, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 684, 48651, 2742, 4022, 827, 623, 184507, 236779, 14210, 1083, 623, 61677, 4027, 684, 22790, 3967, 532, 1813, 19392, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 6265, 1083, 623, 10252, 38777, 17283, 51730, 23260, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 28239, 12323, 529, 89965, 10797, 600, 1451, 13275, 14125, 822, 623, 9175, 529, 506, 13695, 236775, 7824, 236787, 108, 1018, 68619, 232383, 1018, 138, 107, 236772, 5213, 6720, 115181, 40242, 66515, 48618, 12566, 4402, 568, 68441, 11252, 15520, 600, 2827, 528, 139393, 52679, 19020, 9935, 1271, 14011, 672, 618, 18014, 573, 217184, 1610, 35490, 236888, 138, 107, 236772, 5213, 236792, 1194, 170831, 66515, 131673, 20997, 2299, 200662, 19365, 607, 2228, 236772, 16213, 3801, 568, 2897, 236772, 1071, 236772, 2897, 10225, 18560, 236768, 532, 17650, 236772, 235888, 1271, 1451, 17866, 29830, 1131, 12847, 19575, 653, 26070, 58435, 138, 107, 236772, 5213, 3484, 567, 8136, 66515, 9963, 22799, 9514, 37766, 3952, 699, 85638, 528, 56758, 236786, 1179, 34477, 1271, 496, 2317, 14806, 236772, 495, 573, 1610, 28023, 1699, 3756, 62790, 653, 14711, 236772, 68122, 130235, 138, 108, 1018, 236798, 29595, 232383, 1018, 138, 107, 236772, 5213, 172476, 59303, 66515, 107413, 618, 623, 64572, 188669, 2098, 3043, 1091, 496, 113560, 5404, 573, 8646, 105326, 39389, 657, 822, 14680, 138, 107, 236772, 5213, 136074, 140165, 66515, 109559, 2031, 528, 21922, 3230, 236743, 236770, 236812, 236771, 237366, 236811, 32461, 1343, 24576, 5387, 12126, 1271, 496, 50232, 573, 35691, 528, 1610, 236888, 138, 108, 1018, 75455, 62503, 66515, 138, 107, 236770, 236761, 32300, 607, 506, 36776, 11877, 51817, 531, 2619, 21931, 30427, 26804, 1217, 89965, 130492, 30463, 41519, 1610, 5699, 138, 107, 236778, 236761, 37868, 623, 7168, 752, 529, 8040, 236775, 2780, 29049, 1699, 9514, 236772, 236754, 2370, 13153, 568, 3684, 64574, 236764, 25800, 9479, 236768, 531, 14701, 910, 9337, 138, 107, 236800, 236761, 7803, 14680, 70295, 607, 86256, 89965, 45034, 9935, 618, 496, 16354, 531, 910, 52679, 18560, 138, 108, 818, 48971, 236858, 236751, 16672, 7880, 1451, 992, 577, 24724, 528, 822, 42527, 5417, 236764, 40101, 506, 14680, 618, 496, 11825, 1534, 1610, 532, 23092, 33862, 236761, 21284, 611, 1133, 786, 531, 3600, 3530, 4861, 531, 72146, 1239, 4820, 1131, 822, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 236806, 1810, 236764, 564, 2765, 1724, 6549, 236888, 28344, 611, 5091, 5039, 496, 7671, 19144, 531, 1041, 2460, 6995, 2434, 607, 506, 3618, 236787, 756, 236874, 236858, 712, 236764, 564, 236858, 560, 2506, 496, 89965, 236772, 236745, 3646, 10040, 236888, 3792, 236858, 236751, 27968, 52679, 45034, 1610, 35490, 236764, 9514, 236772, 236754, 2370, 2780, 29049, 236764, 532, 496, 89965, 35691, 30918, 1131, 1023, 14680, 11273, 236761, 34556, 786, 657, 506, 14871, 16922, 657, 236743, 236770, 236770, 8151, 531, 78543, 62649, 564, 236858, 859, 1202, 910, 1601, 531, 1386, 672, 7824, 130403, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236753, 577, 5293, 531, 1601, 5039, 600, 19144, 531, 822, 2434, 236888, 3153, 236764, 564, 6303, 600, 506, 2430, 5853, 573, 822, 2460, 6995, 2434, 18116, 236789, 236745, 1010, 3847, 528, 1023, 12309, 236761, 28344, 611, 5091, 4024, 506, 3530, 2430, 5853, 611, 236789, 236753, 1133, 786, 531, 5039, 672, 19144, 531, 236881, 1174, 795, 5330, 506, 3618, 20881, 506, 1447, 1331, 573, 822, 114521, 6478, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 65911, 3393, 236743, 236800, 236800, 236812, 236771, 236770, 573, 786, 236881, 564, 236789, 236757, 35447, 496, 3399, 15653, 14680, 657, 506, 55389, 11109, 532, 1461, 531, 3204, 2263, 70836, 528, 1023, 42527, 5417, 236761, 3792, 786, 1281, 768, 993, 236789, 236751, 4658, 6121, 1003, 506, 2433, 564, 740, 8357, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236800, 236800, 236812, 236771, 236770, 827, 623, 13319, 1083, 623, 20163, 36776, 11877, 827, 623, 3255, 1083, 623, 80409, 827, 623, 78660, 1083, 623, 97890, 11877, 5796, 827, 623, 37673, 1083, 236743, 236778, 236825, 236761, 236832, 236770, 236810, 236764, 623, 41713, 1083, 753, 236828, 236771, 236761, 236771, 236810, 236778, 236810, 236764, 623, 204012, 1083, 11058, 153166, 11109, 529, 4585, 827, 623, 17698, 24698, 622, 9316, 827, 623, 97890, 11877, 51817, 833, 29329, 8817, 14255, 623, 38428, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 236764, 623, 7376, 1083, 623, 170425, 4844, 36776, 11877, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 65911, 3393, 236743, 236800, 236800, 236812, 236771, 236770, 528, 4844, 36776, 11877, 236764, 10964, 236787, 108, 1018, 6375, 70731, 53121, 107, 236772, 5213, 153166, 11109, 529, 4585, 1018, 568, 17993, 19573, 15520, 753, 562, 16086, 9226, 16253, 18482, 3668, 236764, 6693, 236764, 532, 16236, 1610, 107, 236772, 5213, 17698, 24698, 622, 9316, 1018, 753, 562, 28239, 9726, 236772, 1930, 12892, 607, 17320, 236764, 12616, 236764, 532, 16357, 107, 236772, 5213, 97890, 11877, 51817, 833, 29329, 8817, 1018, 753, 562, 2523, 236772, 18865, 29433, 607, 1024, 236743, 236810, 236771, 236771, 8075, 108, 1018, 27779, 20303, 53121, 107, 236772, 45941, 528, 48630, 4844, 36776, 11877, 568, 36713, 3727, 2109, 3435, 15520, 107, 236772, 39208, 236787, 2578, 236770, 236812, 236810, 236764, 236771, 236771, 236771, 10465, 528, 506, 2433, 107, 236772, 5796, 11171, 529, 36776, 11877, 5796, 108, 2542, 822, 42527, 5417, 236764, 611, 2473, 37837, 506, 15653, 236772, 41889, 4563, 607, 506, 55389, 11109, 618, 496, 110263, 236764, 1651, 992, 41671, 506, 2433, 236789, 236751, 36453, 532, 39435, 32468, 1133, 506, 48971, 532, 4085, 24698, 622, 9316, 236761, 669, 22964, 4563, 12205, 13139, 31087, 532, 3435, 573, 3998, 8827, 1913, 506, 14680, 236761, 106, 107, 105, 2364, 107, 236806, 1810, 236764, 564, 1164, 1053, 496, 10455, 4317, 236888, 28344, 611, 1385, 872, 1938, 1003, 109684, 585, 1699, 506, 8075, 5904, 236881, 669, 36776, 11877, 51817, 563, 886, 529, 1023, 14942, 32468, 236764, 532, 564, 5630, 9333, 1724, 9514, 107774, 993, 236761, 564, 236789, 236753, 2765, 531, 1281, 919, 1003, 910, 6868, 532, 16672, 7880, 753, 7463, 692, 740, 2619, 496, 2317, 756, 9175, 529, 506, 13695, 236789, 7824, 18024, 506, 14680, 531, 2263, 23092, 236761, 3574, 901, 735, 1027, 6121, 10797, 1003, 910, 45034, 522, 9935, 653, 64156, 64624, 236881, 14212, 1451, 30463, 1070, 9578, 4820, 528, 1023, 42527, 5417, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 38903, 1083, 623, 89785, 89965, 827, 623, 184507, 236779, 4818, 1083, 623, 73388, 4561, 827, 623, 59820, 1083, 623, 20251, 2455, 130492, 573, 6733, 532, 52679, 19020, 827, 623, 115828, 1083, 623, 201535, 5957, 236772, 143342, 580, 56758, 532, 1944, 218685, 827, 623, 171971, 1083, 623, 224495, 9551, 32461, 236764, 217033, 236764, 532, 14791, 1674, 2139, 827, 623, 124682, 236779, 18377, 1083, 623, 42974, 9514, 84356, 3952, 699, 192035, 1433, 85638, 528, 910, 9337, 827, 623, 236757, 1194, 236779, 226413, 1083, 623, 228323, 606, 2299, 200662, 19365, 607, 2228, 236772, 16213, 3801, 532, 17650, 236772, 235888, 23179, 3714, 38903, 1083, 623, 1933, 497, 89965, 827, 623, 184507, 236779, 4818, 1083, 623, 39952, 26751, 827, 623, 59820, 1083, 623, 20251, 19707, 64597, 43142, 580, 52108, 32461, 827, 623, 115828, 1083, 623, 18146, 5411, 528, 49147, 95856, 532, 1944, 45125, 149047, 827, 623, 171971, 1083, 623, 236751, 9681, 32461, 532, 52352, 25980, 60408, 827, 623, 124682, 236779, 18377, 1083, 623, 4881, 19635, 528, 1813, 872, 531, 236743, 236825, 236825, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 684, 48651, 2742, 4022, 827, 623, 184507, 236779, 14210, 1083, 623, 61677, 4027, 684, 22790, 3967, 532, 1813, 19392, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 6265, 1083, 623, 10252, 38777, 17283, 51730, 23260, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 28239, 12323, 529, 89965, 10797, 600, 1451, 13275, 14125, 822, 623, 9175, 529, 506, 13695, 236775, 7824, 236787, 108, 1018, 68619, 232383, 1018, 138, 107, 236772, 5213, 6720, 115181, 40242, 66515, 48618, 12566, 4402, 568, 68441, 11252, 15520, 600, 2827, 528, 139393, 52679, 19020, 9935, 1271, 14011, 672, 618, 18014, 573, 217184, 1610, 35490, 236888, 138, 107, 236772, 5213, 236792, 1194, 170831, 66515, 131673, 20997, 2299, 200662, 19365, 607, 2228, 236772, 16213, 3801, 568, 2897, 236772, 1071, 236772, 2897, 10225, 18560, 236768, 532, 17650, 236772, 235888, 1271, 1451, 17866, 29830, 1131, 12847, 19575, 653, 26070, 58435, 138, 107, 236772, 5213, 3484, 567, 8136, 66515, 9963, 22799, 9514, 37766, 3952, 699, 85638, 528, 56758, 236786, 1179, 34477, 1271, 496, 2317, 14806, 236772, 495, 573, 1610, 28023, 1699, 3756, 62790, 653, 14711, 236772, 68122, 130235, 138, 108, 1018, 236798, 29595, 232383, 1018, 138, 107, 236772, 5213, 172476, 59303, 66515, 107413, 618, 623, 64572, 188669, 2098, 3043, 1091, 496, 113560, 5404, 573, 8646, 105326, 39389, 657, 822, 14680, 138, 107, 236772, 5213, 136074, 140165, 66515, 109559, 2031, 528, 21922, 3230, 236743, 236770, 236812, 236771, 237366, 236811, 32461, 1343, 24576, 5387, 12126, 1271, 496, 50232, 573, 35691, 528, 1610, 236888, 138, 108, 1018, 75455, 62503, 66515, 138, 107, 236770, 236761, 32300, 607, 506, 36776, 11877, 51817, 531, 2619, 21931, 30427, 26804, 1217, 89965, 130492, 30463, 41519, 1610, 5699, 138, 107, 236778, 236761, 37868, 623, 7168, 752, 529, 8040, 236775, 2780, 29049, 1699, 9514, 236772, 236754, 2370, 13153, 568, 3684, 64574, 236764, 25800, 9479, 236768, 531, 14701, 910, 9337, 138, 107, 236800, 236761, 7803, 14680, 70295, 607, 86256, 89965, 45034, 9935, 618, 496, 16354, 531, 910, 52679, 18560, 138, 108, 818, 48971, 236858, 236751, 16672, 7880, 1451, 992, 577, 24724, 528, 822, 42527, 5417, 236764, 40101, 506, 14680, 618, 496, 11825, 1534, 1610, 532, 23092, 33862, 236761, 21284, 611, 1133, 786, 531, 3600, 3530, 4861, 531, 72146, 1239, 4820, 1131, 822, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 236806, 1810, 236764, 564, 2765, 1724, 6549, 236888, 28344, 611, 5091, 5039, 496, 7671, 19144, 531, 1041, 2460, 6995, 2434, 607, 506, 3618, 236787, 756, 236874, 236858, 712, 236764, 564, 236858, 560, 2506, 496, 89965, 236772, 236745, 3646, 10040, 236888, 3792, 236858, 236751, 27968, 52679, 45034, 1610, 35490, 236764, 9514, 236772, 236754, 2370, 2780, 29049, 236764, 532, 496, 89965, 35691, 30918, 1131, 1023, 14680, 11273, 236761, 34556, 786, 657, 506, 14871, 16922, 657, 236743, 236770, 236770, 8151, 531, 78543, 62649, 564, 236858, 859, 1202, 910, 1601, 531, 1386, 672, 7824, 130403, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236753, 577, 5293, 531, 1601, 5039, 600, 19144, 531, 822, 2434, 236888, 3153, 236764, 564, 6303, 600, 506, 2430, 5853, 573, 822, 2460, 6995, 2434, 18116, 236789, 236745, 1010, 3847, 528, 1023, 12309, 236761, 28344, 611, 5091, 4024, 506, 3530, 2430, 5853, 611, 236789, 236753, 1133, 786, 531, 5039, 672, 19144, 531, 236881, 1174, 795, 5330, 506, 3618, 20881, 506, 1447, 1331, 573, 822, 114521, 6478, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 6778, 1041, 5052, 31100, 3019, 531, 27912, 236789, 236751, 2196, 20874, 236761, 28344, 611, 1171, 1601, 786, 8701, 5158, 33972, 532, 33923, 4699, 8172, 993, 236881, 3551, 1695, 528, 5052, 3797, 3590, 786, 1751, 1239, 4699, 2473, 1202, 24576, 5052, 5434, 573, 910, 6675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 10904, 4109, 27912, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 8629, 43687, 27194, 827, 623, 60392, 57454, 827, 623, 16493, 236751, 133984, 14255, 623, 11607, 236779, 6774, 1083, 623, 98583, 1389, 236761, 3667, 236940, 19615, 12392, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 19615, 12392, 236761, 854, 236786, 98583, 1389, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 2023, 683, 236781, 17734, 74812, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 28061, 101554, 48447, 522, 827, 623, 236788, 236772, 25351, 161920, 827, 623, 58142, 35211, 23566, 14255, 623, 11607, 236779, 6774, 1083, 623, 26377, 236940, 516, 683, 236781, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 516, 683, 236781, 236761, 854, 236786, 3271, 236744, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 224173, 30510, 35211, 12266, 7123, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 51994, 236772, 198633, 74812, 827, 623, 37625, 8813, 827, 623, 9008, 236772, 96769, 33431, 14255, 623, 11607, 236779, 6774, 1083, 623, 16599, 42147, 236940, 236753, 10910, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 236753, 10910, 236761, 854, 236786, 1336, 236772, 501, 236761, 3185, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 126391, 74812, 6503, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 15370, 27773, 92723, 8813, 827, 623, 21048, 236772, 42201, 522, 8381, 827, 623, 61071, 63040, 198070, 14255, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 15967, 236755, 236761, 7393, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 98583, 917, 679, 4884, 25385, 236761, 854, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 5493, 583, 1090, 6531, 6308, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 118445, 139956, 33431, 827, 623, 28061, 36585, 827, 623, 236788, 236772, 25351, 74812, 19839, 236751, 14255, 623, 11607, 236779, 6774, 1083, 623, 23019, 236940, 210775, 1090, 3274, 236761, 7393, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 210775, 1090, 3274, 236761, 7393, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 5158, 33972, 532, 33923, 4699, 8172, 528, 27912, 236789, 236751, 2196, 20874, 236764, 837, 1149, 2754, 3435, 7391, 573, 822, 5052, 31100, 3019, 236787, 108, 236770, 236761, 5213, 10904, 4109, 27912, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 25577, 43687, 27194, 236764, 47432, 57454, 236764, 58345, 133984, 138, 107, 139, 236772, 808, 11431, 63508, 870, 98583, 1389, 236761, 3667, 236940, 19615, 12392, 236761, 854, 5457, 36440, 236787, 98583, 1389, 236761, 3667, 236940, 19615, 12392, 236761, 854, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 19615, 12392, 236761, 854, 236786, 98583, 1389, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 58345, 14143, 236764, 2411, 5052, 3797, 236764, 31882, 2802, 2256, 138, 108, 236778, 236761, 5213, 2023, 683, 236781, 17734, 74812, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 5785, 101554, 48447, 522, 236764, 645, 236772, 25351, 161920, 236764, 30510, 35211, 23566, 138, 107, 139, 236772, 808, 11431, 63508, 870, 26377, 236940, 516, 683, 236781, 236761, 854, 5457, 36440, 236787, 26377, 236940, 516, 683, 236781, 236761, 854, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 516, 683, 236781, 236761, 854, 236786, 3271, 236744, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 86416, 16074, 3797, 236764, 31882, 5052, 573, 1494, 236772, 2394, 545, 236772, 25351, 9061, 138, 108, 236800, 236761, 5213, 224173, 30510, 35211, 12266, 7123, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 35267, 236772, 198633, 74812, 236764, 52761, 8813, 236764, 11662, 236772, 96769, 33431, 138, 107, 139, 236772, 808, 11431, 63508, 870, 16599, 42147, 236940, 236753, 10910, 236761, 854, 5457, 36440, 236787, 16599, 42147, 236940, 236753, 10910, 236761, 854, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 236753, 10910, 236761, 854, 236786, 1336, 236772, 501, 236761, 3185, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 40625, 6733, 573, 30142, 236786, 1587, 4884, 236764, 9116, 18088, 5052, 138, 108, 236812, 236761, 5213, 126391, 74812, 6503, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 9617, 27773, 92723, 8813, 236764, 12713, 236772, 42201, 522, 8381, 236764, 17648, 63040, 198070, 138, 107, 139, 236772, 808, 11431, 63508, 870, 3906, 236940, 15967, 236755, 236761, 7393, 5457, 36440, 236787, 3906, 236940, 15967, 236755, 236761, 7393, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 98583, 917, 679, 4884, 25385, 236761, 854, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 9617, 10202, 14143, 79880, 236764, 1759, 236772, 2289, 18241, 11734, 3797, 138, 108, 236810, 236761, 5213, 5493, 583, 1090, 6531, 6308, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 57403, 139956, 33431, 236764, 5785, 36585, 236764, 645, 236772, 25351, 74812, 19839, 236751, 138, 107, 139, 236772, 808, 11431, 63508, 870, 23019, 236940, 210775, 1090, 3274, 236761, 7393, 5457, 36440, 236787, 23019, 236940, 210775, 1090, 3274, 236761, 7393, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 210775, 1090, 3274, 236761, 7393, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 139956, 21199, 10952, 236764, 1774, 236772, 33432, 8341, 4652, 45759, 138, 108, 1018, 9272, 50228, 573, 1599, 66515, 138, 107, 236772, 30235, 580, 5213, 12697, 236751, 14143, 1018, 532, 5213, 138212, 5052, 1018, 573, 4699, 1133, 41385, 4109, 532, 27912, 74812, 6503, 236764, 837, 6060, 1494, 236772, 20845, 4071, 236772, 12148, 6675, 236761, 138, 107, 236772, 63754, 5213, 32306, 31882, 5434, 1018, 568, 236744, 236761, 236759, 1126, 37247, 236772, 25475, 28687, 236764, 12498, 236772, 27612, 18241, 16074, 236768, 531, 1572, 683, 236781, 532, 76245, 236764, 2238, 910, 3213, 580, 545, 236772, 25351, 532, 4022, 236772, 46443, 9061, 236761, 138, 107, 236772, 14066, 5213, 145978, 11205, 1018, 31622, 573, 54884, 6531, 6308, 236764, 618, 910, 545, 236772, 25351, 33972, 73696, 1149, 1660, 6733, 2342, 5177, 24798, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 672, 1694, 3342, 653, 2847, 4889, 1003, 3530, 5052, 12159, 528, 27912, 236789, 236751, 2196, 20874, 236881, 106, 107, 105, 2364, 107, 26479, 506, 1694, 529, 33972, 4699, 236764, 564, 1492, 1202, 531, 3050, 27912, 236789, 236751, 2196, 10202, 5052, 12159, 600, 5510, 531, 1239, 14601, 236761, 28344, 611, 2847, 4889, 1003, 236787, 236743, 236770, 236761, 199432, 5052, 14143, 8443, 573, 33972, 6675, 528, 27912, 236789, 236751, 2196, 20874, 236743, 236778, 236761, 31026, 83073, 573, 5052, 15063, 2844, 607, 1239, 4699, 236743, 236800, 236761, 40170, 22477, 236786, 1516, 6733, 12159, 7798, 531, 33923, 833, 33972, 8634, 1174, 795, 1601, 786, 49523, 1041, 5052, 31100, 3019, 531, 2874, 910, 17286, 6035, 532, 14143, 3548, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 17286, 34438, 653, 3251, 236772, 15396, 6436, 531, 33205, 5213, 126391, 2196, 10202, 5052, 12159, 1018, 5467, 236761, 3153, 236764, 564, 740, 2847, 496, 2870, 10318, 2721, 580, 3364, 14143, 8443, 528, 27912, 236789, 236751, 2196, 20874, 532, 3600, 83979, 6555, 531, 3011, 5125, 4889, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 199432, 12096, 63040, 31022, 573, 74812, 27194, 1018, 138, 107, 8409, 3530, 12159, 9729, 684, 2196, 10202, 9747, 568, 236744, 236761, 236759, 1126, 730, 11558, 40205, 236764, 22529, 3129, 236764, 14634, 40205, 779, 3364, 6035, 3204, 236787, 138, 107, 236772, 5213, 168205, 9852, 6563, 2301, 236761, 236743, 236810, 529, 236743, 236770, 236819, 236819, 236770, 568, 182683, 29116, 6563, 62902, 236787, 4766, 3852, 20548, 5052, 573, 49094, 33972, 236761, 138, 107, 236772, 5213, 16493, 236751, 63040, 66515, 2341, 104560, 531, 27912, 58345, 12159, 568, 236744, 236761, 236759, 1126, 5213, 143311, 16875, 52409, 568, 236776, 6864, 62902, 22902, 573, 9584, 6429, 21896, 769, 138, 107, 236772, 5213, 15370, 27773, 236772, 46163, 27429, 66515, 138, 107, 138, 236772, 5213, 236863, 11558, 40205, 66515, 99423, 14143, 607, 5213, 32279, 236743, 236778, 236828, 236771, 236771, 236771, 1018, 568, 71703, 7797, 5052, 3997, 769, 138, 107, 138, 236772, 5213, 23390, 3129, 66515, 2358, 63490, 10346, 20548, 21199, 28463, 1208, 506, 5213, 14447, 58345, 19922, 568, 236824, 2457, 236768, 143242, 36376, 84750, 138, 107, 236772, 5213, 48265, 12096, 66515, 18319, 1090, 573, 82070, 236786, 24259, 106771, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236812, 236786, 236832, 28687, 236764, 2802, 2256, 3797, 769, 138, 108, 1018, 4396, 14938, 66515, 13948, 506, 7798, 2196, 10202, 9747, 568, 236744, 236761, 236759, 1126, 730, 11558, 40205, 63040, 5570, 236768, 573, 910, 5213, 19120, 532, 16661, 45722, 29912, 84750, 108, 7243, 108, 10354, 5213, 236778, 236761, 31026, 16344, 8112, 573, 12096, 105432, 1018, 138, 107, 2021, 981, 607, 33972, 4699, 528, 27912, 236858, 236751, 2196, 20874, 236764, 822, 3019, 1921, 8913, 607, 236787, 138, 107, 236772, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 66515, 1701, 1938, 5052, 3997, 568, 39633, 573, 22477, 236786, 1516, 6733, 769, 138, 107, 236772, 5213, 32279, 236743, 236778, 236828, 236771, 236771, 236771, 66515, 1701, 6429, 7797, 4652, 3997, 5434, 236761, 138, 107, 236772, 5213, 168205, 14815, 529, 37602, 84702, 66515, 12096, 1458, 35490, 568, 236744, 236761, 236759, 1126, 71939, 236764, 2802, 2256, 236768, 1149, 1660, 37210, 236761, 138, 107, 236772, 5213, 13149, 16344, 8112, 66515, 4943, 2196, 20874, 568, 236744, 236761, 236759, 1126, 27912, 42622, 4085, 236768, 1660, 14143, 607, 7095, 236772, 15396, 8443, 236761, 138, 108, 1018, 4396, 14938, 66515, 66636, 22902, 6035, 607, 5213, 126391, 172430, 6022, 568, 137182, 62902, 653, 506, 5213, 6796, 10202, 236858, 236751, 17286, 2742, 84750, 108, 7243, 108, 10354, 5213, 236800, 236761, 36310, 236786, 2100, 18157, 45722, 1018, 138, 107, 3503, 12159, 573, 33972, 14601, 12804, 13719, 1262, 236787, 138, 107, 236772, 5213, 168205, 9852, 142906, 236772, 35487, 2301, 236761, 236743, 236800, 236812, 529, 236743, 236778, 236771, 236778, 236770, 568, 33076, 5774, 18157, 6563, 62902, 236787, 18319, 1090, 9584, 12804, 529, 4430, 236786, 25016, 1262, 236761, 138, 107, 236772, 5213, 20918, 36552, 12096, 19430, 568, 59059, 236776, 62902, 236787, 99423, 6749, 12308, 13448, 568, 236744, 236761, 236759, 1126, 2411, 11787, 236768, 531, 4144, 5213, 145978, 11205, 44362, 1018, 568, 236744, 236761, 236759, 1126, 137838, 236764, 82310, 54514, 769, 138, 107, 236772, 5213, 23390, 3129, 180816, 36376, 66515, 1701, 4699, 8172, 528, 22529, 3129, 236764, 14143, 607, 5213, 23390, 3129, 180816, 45722, 236743, 236778, 236771, 236778, 236778, 1018, 563, 27979, 236761, 138, 108, 1018, 4396, 14938, 66515, 9352, 506, 5213, 168205, 5774, 18157, 6563, 1018, 532, 6618, 506, 5213, 6796, 10202, 236858, 236751, 9053, 236786, 11205, 7920, 1018, 573, 7095, 236772, 15396, 15700, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 573, 1599, 1018, 138, 107, 236770, 236761, 5213, 9415, 676, 9617, 27773, 83007, 66515, 138, 107, 139, 236772, 76217, 855, 531, 5213, 236863, 11558, 40205, 63040, 125546, 5213, 23390, 3129, 50246, 7816, 125546, 653, 5213, 6354, 40205, 28553, 10765, 1018, 573, 5125, 5052, 236786, 155215, 1526, 17133, 236761, 138, 107, 236778, 236761, 5213, 98346, 607, 12263, 94304, 66515, 138, 107, 139, 236772, 200607, 607, 44696, 236772, 5140, 14143, 11848, 568, 236744, 236761, 236759, 1126, 5213, 236791, 133965, 44696, 125546, 5213, 236855, 155264, 32180, 31379, 119542, 531, 18855, 822, 2509, 31622, 236761, 138, 107, 236800, 236761, 5213, 164419, 676, 6503, 236772, 46163, 76374, 66515, 138, 107, 139, 236772, 1701, 14601, 1133, 5213, 10904, 4109, 27912, 125546, 3540, 910, 5213, 236751, 152405, 236786, 59639, 1018, 10458, 580, 910, 17909, 573, 14143, 111199, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 5213, 92973, 60218, 1018, 653, 496, 5213, 9944, 15523, 1018, 573, 822, 5052, 31100, 3019, 36443, 531, 1239, 4699, 236881, 106, 107, 105, 2364, 107, 8291, 236858, 236751, 496, 5213, 12697, 1662, 14143, 60218, 1018, 532, 5213, 155017, 7930, 1018, 36443, 531, 27912, 2196, 10202, 33972, 4699, 236764, 2721, 580, 822, 3328, 2436, 532, 17286, 10092, 236787, 9190, 36675, 5213, 70408, 82811, 573, 27912, 9617, 27773, 74812, 12096, 1018, 5213, 48265, 12096, 33197, 1018, 753, 870, 4422, 5213, 32279, 236743, 236778, 236828, 236771, 236771, 236771, 52414, 66515, 30510, 7797, 5052, 3997, 3797, 568, 179081, 573, 730, 11558, 40205, 236786, 23390, 3129, 33972, 14601, 236768, 753, 870, 4422, 5213, 236778, 236812, 236786, 236832, 113615, 66515, 71939, 12606, 529, 82070, 236764, 13317, 106771, 236764, 532, 2196, 10202, 28048, 3298, 753, 870, 4422, 5213, 11942, 9463, 66515, 6272, 8703, 236786, 225114, 3797, 573, 4698, 532, 7500, 7234, 568, 4647, 607, 5213, 168205, 9852, 6563, 2301, 236761, 236743, 236810, 236786, 236770, 236819, 236819, 236770, 119542, 753, 870, 4422, 5213, 16493, 236751, 63040, 66515, 562, 6864, 22902, 1894, 568, 1708, 4699, 1133, 41385, 4109, 12804, 4071, 236772, 12148, 20548, 236768, 5213, 94969, 236786, 2100, 18157, 33197, 1018, 753, 870, 4422, 5213, 168205, 5774, 18157, 6563, 568, 100493, 712, 6563, 2301, 236761, 236743, 236800, 236812, 236786, 236778, 236771, 236778, 236770, 62902, 236787, 57843, 12804, 529, 4430, 236786, 25016, 1262, 753, 870, 4422, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 52414, 66515, 1701, 1262, 41480, 532, 29162, 21733, 568, 39633, 573, 1572, 683, 236781, 236786, 224173, 236858, 236751, 545, 236772, 25351, 73696, 236768, 753, 870, 4422, 5213, 59059, 236776, 63040, 66515, 4025, 36552, 12096, 19430, 44362, 573, 6749, 12308, 568, 236744, 236761, 236759, 1126, 2411, 11787, 236768, 753, 870, 4422, 5213, 23390, 3129, 180816, 36376, 236743, 236778, 236771, 236778, 236778, 66515, 40170, 531, 4699, 8172, 528, 22529, 3129, 2196, 20874, 5213, 36018, 8112, 531, 82974, 687, 1018, 753, 870, 4422, 5213, 168205, 14815, 529, 37602, 12096, 11440, 66515, 1701, 28496, 71939, 236786, 12549, 2256, 3797, 753, 870, 4422, 5213, 236776, 6864, 52414, 66515, 2282, 1894, 7391, 528, 9584, 6429, 7797, 6675, 753, 870, 4422, 5213, 13149, 9617, 27773, 172430, 66515, 7179, 6035, 607, 5213, 126391, 172430, 6022, 568, 137182, 62902, 9190, 36675, 5213, 136904, 33404, 573, 74812, 33464, 1018, 5213, 236840, 11069, 6503, 7343, 236842, 1018, 12096, 49501, 105971, 573, 870, 5950, 7343, 236842, 5213, 236770, 236761, 15044, 25252, 1018, 1191, 65607, 528, 27912, 2196, 10202, 14143, 236772, 4647, 5052, 5434, 236764, 607, 14739, 528, 236787, 753, 5213, 16493, 236751, 236772, 94971, 23941, 113615, 13000, 1018, 568, 4647, 607, 730, 11558, 40205, 236786, 23390, 3129, 77408, 236768, 753, 5213, 35153, 92723, 18157, 1018, 568, 89024, 236772, 25475, 14431, 16074, 573, 1494, 236772, 2394, 9061, 236768, 753, 5213, 94969, 11205, 36376, 236751, 1018, 568, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 236786, 236778, 236828, 236771, 236771, 236771, 236772, 94636, 28463, 236768, 5213, 236778, 236761, 54482, 2926, 23566, 573, 870, 5950, 7343, 236842, 1018, 808, 12703, 573, 41385, 4109, 27912, 149681, 753, 5213, 16493, 236751, 63040, 18231, 1258, 66515, 41152, 63232, 531, 562, 6864, 8443, 532, 44696, 49094, 2621, 753, 5213, 8999, 12096, 62840, 66515, 12498, 236772, 27612, 16878, 11734, 532, 2802, 2256, 808, 12703, 573, 1572, 683, 236781, 17734, 74812, 149681, 753, 5213, 236788, 236772, 25351, 86416, 64608, 66515, 10170, 236772, 2289, 28887, 3797, 573, 1494, 236772, 2394, 85325, 753, 5213, 149127, 180816, 66515, 5774, 41480, 573, 18241, 3997, 3797, 5213, 236800, 236761, 74484, 529, 5490, 1018, 753, 25348, 236743, 236770, 236787, 63040, 62478, 13768, 568, 236800, 236771, 2668, 236768, 753, 25348, 236743, 236778, 236787, 1804, 7803, 833, 22977, 52414, 12730, 568, 236825, 236771, 2668, 236768, 753, 25348, 236743, 236800, 236787, 50698, 833, 18982, 17263, 568, 236819, 236771, 2668, 236768, 5213, 236812, 236761, 79913, 833, 30234, 1018, 753, 175014, 21212, 2721, 580, 2196, 10202, 19595, 568, 236863, 11558, 40205, 236786, 23390, 3129, 236786, 6354, 40205, 236768, 753, 35032, 71884, 19240, 531, 22902, 71884, 5213, 236810, 236761, 15316, 14419, 1018, 753, 623, 13483, 2600, 496, 236743, 236812, 236771, 236908, 9095, 528, 20548, 34047, 573, 496, 44696, 236772, 5140, 33923, 6218, 1343, 22977, 236743, 236778, 236828, 236771, 236771, 236771, 236772, 4647, 28463, 236775, 753, 623, 83780, 12498, 28687, 657, 496, 22529, 3129, 31882, 236764, 23673, 236743, 236770, 236771, 236771, 236908, 14143, 607, 143242, 36376, 8443, 236775, 9190, 5213, 9272, 50228, 573, 1599, 1018, 236743, 236770, 236761, 5213, 232866, 506, 7930, 1018, 573, 3530, 4699, 568, 236744, 236761, 236759, 1126, 8357, 5213, 27495, 236772, 38321, 33972, 5052, 1018, 573, 76245, 769, 236743, 236778, 236761, 5213, 11431, 2196, 10202, 11787, 1018, 568, 236744, 236761, 236759, 1126, 730, 11558, 40205, 63040, 5570, 236768, 531, 16807, 22902, 6035, 236761, 236743, 236800, 236761, 5213, 164419, 676, 822, 3399, 3707, 66515, 32300, 607, 44696, 236772, 5140, 14143, 49844, 568, 236744, 236761, 236759, 1126, 5213, 236791, 133965, 44696, 119542, 531, 13878, 25398, 236761, 21284, 611, 1133, 786, 531, 12262, 496, 5213, 15396, 15523, 3336, 1018, 573, 886, 529, 1239, 4699, 568, 236744, 236761, 236759, 1126, 41385, 4109, 653, 76245, 236768, 653, 59638, 506, 14143, 60218, 3342, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 5213, 186192, 2970, 2731, 1018, 531, 1601, 611, 96820, 822, 4313, 532, 9584, 16374, 607, 27912, 236789, 236751, 33972, 4699, 236787, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 10867, 688, 166764, 607, 22202, 69934, 1018, 138, 107, 1018, 15354, 580, 41385, 4109, 27912, 653, 76245, 1018, 568, 11480, 236772, 2394, 14989, 2779, 531, 910, 4185, 5559, 769, 138, 107, 1018, 3218, 1239, 10458, 531, 822, 15523, 66515, 138, 107, 236772, 5213, 210282, 30076, 28707, 66515, 138, 107, 138, 236772, 14691, 236787, 165996, 2542, 41385, 4109, 236858, 236751, 9714, 42310, 236764, 692, 5840, 76702, 12498, 236772, 36359, 16878, 13909, 3797, 531, 6440, 62362, 2802, 236764, 13471, 159069, 13682, 684, 236743, 236832, 236771, 236908, 1781, 236829, 138, 107, 236772, 5213, 135930, 13768, 66515, 138, 107, 138, 236772, 14691, 236787, 165996, 7711, 22977, 236743, 236778, 236828, 236771, 236771, 236771, 236772, 4647, 6429, 7797, 5052, 1458, 795, 6439, 31915, 34211, 684, 236743, 236800, 236771, 236908, 532, 4006, 562, 6864, 22902, 18190, 1781, 236829, 138, 107, 236772, 5213, 58972, 67831, 66515, 138, 107, 138, 236772, 14691, 236787, 165996, 68105, 529, 11775, 20502, 21010, 607, 27912, 58345, 236858, 5177, 5058, 573, 1759, 236772, 2289, 20548, 21199, 14143, 1781, 236829, 138, 108, 1018, 30134, 19536, 236881, 1018, 3792, 786, 12262, 496, 5213, 79205, 3336, 1018, 573, 822, 15523, 568, 236744, 236761, 236759, 1126, 12498, 28687, 12434, 653, 22477, 236772, 37716, 45759, 769, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 130009, 9617, 27773, 83007, 1018, 138, 107, 1018, 15829, 19955, 531, 730, 11558, 40205, 236786, 23390, 3129, 63040, 46001, 66515, 138, 107, 2717, 138, 107, 21288, 236787, 87101, 580, 12096, 63040, 33197, 573, 74812, 33464, 138, 108, 31163, 870, 236863, 11558, 40205, 236786, 23390, 3129, 63040, 16186, 1604, 138, 108, 236777, 1006, 870, 11069, 7343, 1604, 496, 5052, 31421, 68916, 528, 27912, 2196, 10202, 33972, 5052, 236761, 564, 1006, 43920, 7391, 1133, 41385, 4109, 27912, 532, 76245, 30510, 35211, 607, 14143, 531, 22977, 236743, 236778, 236828, 236771, 236771, 236771, 236764, 44696, 5774, 18157, 6563, 236764, 532, 143242, 36376, 8443, 236761, 138, 108, 30092, 611, 5091, 4024, 236787, 138, 107, 236770, 236761, 669, 5213, 15396, 5052, 28463, 1018, 3149, 573, 33972, 13448, 528, 822, 2196, 10202, 236881, 138, 107, 236778, 236761, 7129, 5213, 18289, 8112, 1018, 653, 37360, 4354, 573, 4168, 236772, 7362, 5052, 15063, 2844, 607, 2196, 10202, 14601, 236881, 138, 108, 236777, 1093, 14562, 14756, 1027, 5125, 13049, 653, 14984, 611, 740, 2847, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 6503, 236842, 138, 107, 236840, 11431, 8230, 236842, 138, 107, 2717, 138, 107, 1018, 30134, 19536, 236881, 1018, 564, 740, 59638, 672, 4553, 653, 12262, 886, 573, 496, 3530, 2196, 10202, 568, 236744, 236761, 236759, 1126, 14634, 40205, 769, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 32300, 607, 12263, 94304, 1018, 138, 107, 1018, 10206, 151804, 66515, 138, 107, 236772, 5213, 236791, 133965, 44696, 1018, 568, 71703, 7797, 4652, 36639, 236768, 138, 107, 236772, 5213, 236855, 155264, 32180, 49501, 1018, 568, 145978, 11205, 14143, 236768, 138, 107, 236772, 5213, 2368, 21263, 11901, 833, 6503, 1018, 568, 12921, 14143, 11848, 236768, 138, 108, 1018, 3135, 20232, 66515, 138, 107, 236772, 165996, 142031, 606, 531, 2729, 81754, 14143, 900, 5052, 3019, 531, 33972, 14601, 1781, 236829, 138, 107, 236772, 6890, 910, 2263, 14739, 531, 4592, 236772, 11861, 83073, 568, 236744, 236761, 236759, 1126, 22977, 236743, 236778, 236832, 236771, 236771, 236770, 769, 138, 108, 1018, 30134, 19536, 236881, 1018, 564, 740, 12262, 496, 5213, 232958, 12861, 4553, 1018, 531, 886, 529, 1239, 14601, 236761, 108, 7243, 108, 10354, 5213, 5471, 236743, 236812, 236787, 78707, 62986, 607, 496, 54832, 7879, 1018, 138, 107, 1018, 147609, 66515, 138, 107, 236770, 236761, 46816, 496, 5213, 6796, 14143, 24391, 1018, 531, 496, 5453, 236772, 21928, 33972, 6218, 568, 236744, 236761, 236759, 1126, 27912, 74812, 6503, 769, 138, 107, 236778, 236761, 6890, 12396, 531, 2619, 496, 5213, 4925, 2748, 1018, 568, 236744, 236761, 236759, 1126, 165996, 45665, 6379, 236743, 236770, 236771, 236771, 236908, 730, 11558, 40205, 5052, 14143, 528, 236743, 236825, 236771, 2668, 147698, 769, 138, 107, 236800, 236761, 212649, 672, 7724, 529, 3495, 531, 12861, 6268, 14601, 1133, 1572, 683, 236781, 653, 76245, 236761, 138, 108, 1018, 30134, 19536, 236881, 1018, 564, 740, 2619, 496, 5213, 92973, 24391, 60218, 1018, 653, 496, 5213, 4925, 2748, 7930, 84750, 108, 7243, 108, 10354, 5213, 5471, 236743, 236810, 236787, 16344, 8112, 173160, 1018, 138, 107, 1018, 110613, 57354, 66515, 138, 107, 236770, 236761, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 236786, 236778, 236828, 236771, 236771, 236771, 66515, 9187, 506, 22902, 1657, 4323, 506, 5213, 126391, 172430, 6022, 568, 137182, 62902, 236761, 138, 107, 236778, 236761, 5213, 168205, 14815, 529, 37602, 11440, 66515, 30839, 573, 13196, 531, 4476, 5052, 3797, 236761, 138, 107, 236800, 236761, 5213, 236776, 6864, 52414, 66515, 32300, 607, 27912, 58345, 236772, 552, 113608, 49844, 236761, 138, 108, 1018, 30134, 19536, 236881, 1018, 564, 740, 18161, 496, 5213, 9340, 236772, 2003, 236772, 9340, 34315, 1018, 573, 83073, 236761, 108, 7243, 108, 10354, 5213, 3689, 21284, 1599, 9929, 531, 3574, 12067, 236881, 1018, 138, 107, 236770, 236761, 16187, 969, 496, 5213, 155017, 3336, 1018, 573, 41385, 4109, 653, 76245, 607, 8330, 4889, 236761, 138, 107, 236778, 236761, 41261, 5213, 725, 26358, 24157, 1018, 531, 2196, 10202, 11787, 653, 2263, 6627, 236761, 138, 107, 236800, 236761, 8600, 496, 5213, 92973, 24391, 5904, 1018, 653, 5213, 4925, 2748, 7930, 84750, 138, 107, 236812, 236761, 8689, 496, 5213, 206906, 75716, 1018, 607, 58658, 532, 5384, 236761, 138, 108, 6481, 786, 1281, 822, 13546, 237028, 236777, 236858, 859, 5518, 83979, 3004, 2351, 4310, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 6778, 1041, 5052, 31100, 3019, 531, 27912, 236789, 236751, 2196, 20874, 236761, 28344, 611, 1171, 1601, 786, 8701, 5158, 33972, 532, 33923, 4699, 8172, 993, 236881, 3551, 1695, 528, 5052, 3797, 3590, 786, 1751, 1239, 4699, 2473, 1202, 24576, 5052, 5434, 573, 910, 6675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 10904, 4109, 27912, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 8629, 43687, 27194, 827, 623, 60392, 57454, 827, 623, 16493, 236751, 133984, 14255, 623, 11607, 236779, 6774, 1083, 623, 98583, 1389, 236761, 3667, 236940, 19615, 12392, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 19615, 12392, 236761, 854, 236786, 98583, 1389, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 2023, 683, 236781, 17734, 74812, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 28061, 101554, 48447, 522, 827, 623, 236788, 236772, 25351, 161920, 827, 623, 58142, 35211, 23566, 14255, 623, 11607, 236779, 6774, 1083, 623, 26377, 236940, 516, 683, 236781, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 516, 683, 236781, 236761, 854, 236786, 3271, 236744, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 224173, 30510, 35211, 12266, 7123, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 51994, 236772, 198633, 74812, 827, 623, 37625, 8813, 827, 623, 9008, 236772, 96769, 33431, 14255, 623, 11607, 236779, 6774, 1083, 623, 16599, 42147, 236940, 236753, 10910, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 236753, 10910, 236761, 854, 236786, 1336, 236772, 501, 236761, 3185, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 126391, 74812, 6503, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 15370, 27773, 92723, 8813, 827, 623, 21048, 236772, 42201, 522, 8381, 827, 623, 61071, 63040, 198070, 14255, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 15967, 236755, 236761, 7393, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 98583, 917, 679, 4884, 25385, 236761, 854, 25938, 107, 14937, 25385, 236779, 1201, 1083, 623, 5493, 583, 1090, 6531, 6308, 827, 623, 15897, 236779, 2865, 3747, 1083, 11058, 118445, 139956, 33431, 827, 623, 28061, 36585, 827, 623, 236788, 236772, 25351, 74812, 19839, 236751, 14255, 623, 11607, 236779, 6774, 1083, 623, 23019, 236940, 210775, 1090, 3274, 236761, 7393, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 210775, 1090, 3274, 236761, 7393, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 5158, 33972, 532, 33923, 4699, 8172, 528, 27912, 236789, 236751, 2196, 20874, 236764, 837, 1149, 2754, 3435, 7391, 573, 822, 5052, 31100, 3019, 236787, 108, 236770, 236761, 5213, 10904, 4109, 27912, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 25577, 43687, 27194, 236764, 47432, 57454, 236764, 58345, 133984, 138, 107, 139, 236772, 808, 11431, 63508, 870, 98583, 1389, 236761, 3667, 236940, 19615, 12392, 236761, 854, 5457, 36440, 236787, 98583, 1389, 236761, 3667, 236940, 19615, 12392, 236761, 854, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 19615, 12392, 236761, 854, 236786, 98583, 1389, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 58345, 14143, 236764, 2411, 5052, 3797, 236764, 31882, 2802, 2256, 138, 108, 236778, 236761, 5213, 2023, 683, 236781, 17734, 74812, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 5785, 101554, 48447, 522, 236764, 645, 236772, 25351, 161920, 236764, 30510, 35211, 23566, 138, 107, 139, 236772, 808, 11431, 63508, 870, 26377, 236940, 516, 683, 236781, 236761, 854, 5457, 36440, 236787, 26377, 236940, 516, 683, 236781, 236761, 854, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 516, 683, 236781, 236761, 854, 236786, 3271, 236744, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 86416, 16074, 3797, 236764, 31882, 5052, 573, 1494, 236772, 2394, 545, 236772, 25351, 9061, 138, 108, 236800, 236761, 5213, 224173, 30510, 35211, 12266, 7123, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 35267, 236772, 198633, 74812, 236764, 52761, 8813, 236764, 11662, 236772, 96769, 33431, 138, 107, 139, 236772, 808, 11431, 63508, 870, 16599, 42147, 236940, 236753, 10910, 236761, 854, 5457, 36440, 236787, 16599, 42147, 236940, 236753, 10910, 236761, 854, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 236753, 10910, 236761, 854, 236786, 1336, 236772, 501, 236761, 3185, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 40625, 6733, 573, 30142, 236786, 1587, 4884, 236764, 9116, 18088, 5052, 138, 108, 236812, 236761, 5213, 126391, 74812, 6503, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 9617, 27773, 92723, 8813, 236764, 12713, 236772, 42201, 522, 8381, 236764, 17648, 63040, 198070, 138, 107, 139, 236772, 808, 11431, 63508, 870, 3906, 236940, 15967, 236755, 236761, 7393, 5457, 36440, 236787, 3906, 236940, 15967, 236755, 236761, 7393, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 98583, 917, 679, 4884, 25385, 236761, 854, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 9617, 10202, 14143, 79880, 236764, 1759, 236772, 2289, 18241, 11734, 3797, 138, 108, 236810, 236761, 5213, 5493, 583, 1090, 6531, 6308, 1018, 138, 107, 139, 236772, 808, 3503, 8381, 63508, 57403, 139956, 33431, 236764, 5785, 36585, 236764, 645, 236772, 25351, 74812, 19839, 236751, 138, 107, 139, 236772, 808, 11431, 63508, 870, 23019, 236940, 210775, 1090, 3274, 236761, 7393, 5457, 36440, 236787, 23019, 236940, 210775, 1090, 3274, 236761, 7393, 236768, 1109, 870, 42475, 5457, 2574, 1411, 2769, 236761, 210775, 1090, 3274, 236761, 7393, 236768, 138, 107, 139, 236772, 808, 19120, 56802, 63508, 139956, 21199, 10952, 236764, 1774, 236772, 33432, 8341, 4652, 45759, 138, 108, 1018, 9272, 50228, 573, 1599, 66515, 138, 107, 236772, 30235, 580, 5213, 12697, 236751, 14143, 1018, 532, 5213, 138212, 5052, 1018, 573, 4699, 1133, 41385, 4109, 532, 27912, 74812, 6503, 236764, 837, 6060, 1494, 236772, 20845, 4071, 236772, 12148, 6675, 236761, 138, 107, 236772, 63754, 5213, 32306, 31882, 5434, 1018, 568, 236744, 236761, 236759, 1126, 37247, 236772, 25475, 28687, 236764, 12498, 236772, 27612, 18241, 16074, 236768, 531, 1572, 683, 236781, 532, 76245, 236764, 2238, 910, 3213, 580, 545, 236772, 25351, 532, 4022, 236772, 46443, 9061, 236761, 138, 107, 236772, 14066, 5213, 145978, 11205, 1018, 31622, 573, 54884, 6531, 6308, 236764, 618, 910, 545, 236772, 25351, 33972, 73696, 1149, 1660, 6733, 2342, 5177, 24798, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 672, 1694, 3342, 653, 2847, 4889, 1003, 3530, 5052, 12159, 528, 27912, 236789, 236751, 2196, 20874, 236881, 106, 107, 105, 2364, 107, 26479, 506, 1694, 529, 33972, 4699, 236764, 564, 1492, 1202, 531, 3050, 27912, 236789, 236751, 2196, 10202, 5052, 12159, 600, 5510, 531, 1239, 14601, 236761, 28344, 611, 2847, 4889, 1003, 236787, 236743, 236770, 236761, 199432, 5052, 14143, 8443, 573, 33972, 6675, 528, 27912, 236789, 236751, 2196, 20874, 236743, 236778, 236761, 31026, 83073, 573, 5052, 15063, 2844, 607, 1239, 4699, 236743, 236800, 236761, 40170, 22477, 236786, 1516, 6733, 12159, 7798, 531, 33923, 833, 33972, 8634, 1174, 795, 1601, 786, 49523, 1041, 5052, 31100, 3019, 531, 2874, 910, 17286, 6035, 532, 14143, 3548, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 17286, 34438, 653, 3251, 236772, 15396, 6436, 531, 33205, 5213, 126391, 2196, 10202, 5052, 12159, 1018, 5467, 236761, 3153, 236764, 564, 740, 2847, 496, 2870, 10318, 2721, 580, 3364, 14143, 8443, 528, 27912, 236789, 236751, 2196, 20874, 532, 3600, 83979, 6555, 531, 3011, 5125, 4889, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 199432, 12096, 63040, 31022, 573, 74812, 27194, 1018, 138, 107, 8409, 3530, 12159, 9729, 684, 2196, 10202, 9747, 568, 236744, 236761, 236759, 1126, 730, 11558, 40205, 236764, 22529, 3129, 236764, 14634, 40205, 779, 3364, 6035, 3204, 236787, 138, 107, 236772, 5213, 168205, 9852, 6563, 2301, 236761, 236743, 236810, 529, 236743, 236770, 236819, 236819, 236770, 568, 182683, 29116, 6563, 62902, 236787, 4766, 3852, 20548, 5052, 573, 49094, 33972, 236761, 138, 107, 236772, 5213, 16493, 236751, 63040, 66515, 2341, 104560, 531, 27912, 58345, 12159, 568, 236744, 236761, 236759, 1126, 5213, 143311, 16875, 52409, 568, 236776, 6864, 62902, 22902, 573, 9584, 6429, 21896, 769, 138, 107, 236772, 5213, 15370, 27773, 236772, 46163, 27429, 66515, 138, 107, 138, 236772, 5213, 236863, 11558, 40205, 66515, 99423, 14143, 607, 5213, 32279, 236743, 236778, 236828, 236771, 236771, 236771, 1018, 568, 71703, 7797, 5052, 3997, 769, 138, 107, 138, 236772, 5213, 23390, 3129, 66515, 2358, 63490, 10346, 20548, 21199, 28463, 1208, 506, 5213, 14447, 58345, 19922, 568, 236824, 2457, 236768, 143242, 36376, 84750, 138, 107, 236772, 5213, 48265, 12096, 66515, 18319, 1090, 573, 82070, 236786, 24259, 106771, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236812, 236786, 236832, 28687, 236764, 2802, 2256, 3797, 769, 138, 108, 1018, 4396, 14938, 66515, 13948, 506, 7798, 2196, 10202, 9747, 568, 236744, 236761, 236759, 1126, 730, 11558, 40205, 63040, 5570, 236768, 573, 910, 5213, 19120, 532, 16661, 45722, 29912, 84750, 108, 7243, 108, 10354, 5213, 236778, 236761, 31026, 16344, 8112, 573, 12096, 105432, 1018, 138, 107, 2021, 981, 607, 33972, 4699, 528, 27912, 236858, 236751, 2196, 20874, 236764, 822, 3019, 1921, 8913, 607, 236787, 138, 107, 236772, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 66515, 1701, 1938, 5052, 3997, 568, 39633, 573, 22477, 236786, 1516, 6733, 769, 138, 107, 236772, 5213, 32279, 236743, 236778, 236828, 236771, 236771, 236771, 66515, 1701, 6429, 7797, 4652, 3997, 5434, 236761, 138, 107, 236772, 5213, 168205, 14815, 529, 37602, 84702, 66515, 12096, 1458, 35490, 568, 236744, 236761, 236759, 1126, 71939, 236764, 2802, 2256, 236768, 1149, 1660, 37210, 236761, 138, 107, 236772, 5213, 13149, 16344, 8112, 66515, 4943, 2196, 20874, 568, 236744, 236761, 236759, 1126, 27912, 42622, 4085, 236768, 1660, 14143, 607, 7095, 236772, 15396, 8443, 236761, 138, 108, 1018, 4396, 14938, 66515, 66636, 22902, 6035, 607, 5213, 126391, 172430, 6022, 568, 137182, 62902, 653, 506, 5213, 6796, 10202, 236858, 236751, 17286, 2742, 84750, 108, 7243, 108, 10354, 5213, 236800, 236761, 36310, 236786, 2100, 18157, 45722, 1018, 138, 107, 3503, 12159, 573, 33972, 14601, 12804, 13719, 1262, 236787, 138, 107, 236772, 5213, 168205, 9852, 142906, 236772, 35487, 2301, 236761, 236743, 236800, 236812, 529, 236743, 236778, 236771, 236778, 236770, 568, 33076, 5774, 18157, 6563, 62902, 236787, 18319, 1090, 9584, 12804, 529, 4430, 236786, 25016, 1262, 236761, 138, 107, 236772, 5213, 20918, 36552, 12096, 19430, 568, 59059, 236776, 62902, 236787, 99423, 6749, 12308, 13448, 568, 236744, 236761, 236759, 1126, 2411, 11787, 236768, 531, 4144, 5213, 145978, 11205, 44362, 1018, 568, 236744, 236761, 236759, 1126, 137838, 236764, 82310, 54514, 769, 138, 107, 236772, 5213, 23390, 3129, 180816, 36376, 66515, 1701, 4699, 8172, 528, 22529, 3129, 236764, 14143, 607, 5213, 23390, 3129, 180816, 45722, 236743, 236778, 236771, 236778, 236778, 1018, 563, 27979, 236761, 138, 108, 1018, 4396, 14938, 66515, 9352, 506, 5213, 168205, 5774, 18157, 6563, 1018, 532, 6618, 506, 5213, 6796, 10202, 236858, 236751, 9053, 236786, 11205, 7920, 1018, 573, 7095, 236772, 15396, 15700, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 573, 1599, 1018, 138, 107, 236770, 236761, 5213, 9415, 676, 9617, 27773, 83007, 66515, 138, 107, 139, 236772, 76217, 855, 531, 5213, 236863, 11558, 40205, 63040, 125546, 5213, 23390, 3129, 50246, 7816, 125546, 653, 5213, 6354, 40205, 28553, 10765, 1018, 573, 5125, 5052, 236786, 155215, 1526, 17133, 236761, 138, 107, 236778, 236761, 5213, 98346, 607, 12263, 94304, 66515, 138, 107, 139, 236772, 200607, 607, 44696, 236772, 5140, 14143, 11848, 568, 236744, 236761, 236759, 1126, 5213, 236791, 133965, 44696, 125546, 5213, 236855, 155264, 32180, 31379, 119542, 531, 18855, 822, 2509, 31622, 236761, 138, 107, 236800, 236761, 5213, 164419, 676, 6503, 236772, 46163, 76374, 66515, 138, 107, 139, 236772, 1701, 14601, 1133, 5213, 10904, 4109, 27912, 125546, 3540, 910, 5213, 236751, 152405, 236786, 59639, 1018, 10458, 580, 910, 17909, 573, 14143, 111199, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 5213, 92973, 60218, 1018, 653, 496, 5213, 9944, 15523, 1018, 573, 822, 5052, 31100, 3019, 36443, 531, 1239, 4699, 236881, 106, 107, 105, 2364, 107, 8291, 236858, 236751, 496, 5213, 12697, 1662, 14143, 60218, 1018, 532, 5213, 155017, 7930, 1018, 36443, 531, 27912, 2196, 10202, 33972, 4699, 236764, 2721, 580, 822, 3328, 2436, 532, 17286, 10092, 236787, 9190, 36675, 5213, 70408, 82811, 573, 27912, 9617, 27773, 74812, 12096, 1018, 5213, 48265, 12096, 33197, 1018, 753, 870, 4422, 5213, 32279, 236743, 236778, 236828, 236771, 236771, 236771, 52414, 66515, 30510, 7797, 5052, 3997, 3797, 568, 179081, 573, 730, 11558, 40205, 236786, 23390, 3129, 33972, 14601, 236768, 753, 870, 4422, 5213, 236778, 236812, 236786, 236832, 113615, 66515, 71939, 12606, 529, 82070, 236764, 13317, 106771, 236764, 532, 2196, 10202, 28048, 3298, 753, 870, 4422, 5213, 11942, 9463, 66515, 6272, 8703, 236786, 225114, 3797, 573, 4698, 532, 7500, 7234, 568, 4647, 607, 5213, 168205, 9852, 6563, 2301, 236761, 236743, 236810, 236786, 236770, 236819, 236819, 236770, 119542, 753, 870, 4422, 5213, 16493, 236751, 63040, 66515, 562, 6864, 22902, 1894, 568, 1708, 4699, 1133, 41385, 4109, 12804, 4071, 236772, 12148, 20548, 236768, 5213, 94969, 236786, 2100, 18157, 33197, 1018, 753, 870, 4422, 5213, 168205, 5774, 18157, 6563, 568, 100493, 712, 6563, 2301, 236761, 236743, 236800, 236812, 236786, 236778, 236771, 236778, 236770, 62902, 236787, 57843, 12804, 529, 4430, 236786, 25016, 1262, 753, 870, 4422, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 52414, 66515, 1701, 1262, 41480, 532, 29162, 21733, 568, 39633, 573, 1572, 683, 236781, 236786, 224173, 236858, 236751, 545, 236772, 25351, 73696, 236768, 753, 870, 4422, 5213, 59059, 236776, 63040, 66515, 4025, 36552, 12096, 19430, 44362, 573, 6749, 12308, 568, 236744, 236761, 236759, 1126, 2411, 11787, 236768, 753, 870, 4422, 5213, 23390, 3129, 180816, 36376, 236743, 236778, 236771, 236778, 236778, 66515, 40170, 531, 4699, 8172, 528, 22529, 3129, 2196, 20874, 5213, 36018, 8112, 531, 82974, 687, 1018, 753, 870, 4422, 5213, 168205, 14815, 529, 37602, 12096, 11440, 66515, 1701, 28496, 71939, 236786, 12549, 2256, 3797, 753, 870, 4422, 5213, 236776, 6864, 52414, 66515, 2282, 1894, 7391, 528, 9584, 6429, 7797, 6675, 753, 870, 4422, 5213, 13149, 9617, 27773, 172430, 66515, 7179, 6035, 607, 5213, 126391, 172430, 6022, 568, 137182, 62902, 9190, 36675, 5213, 136904, 33404, 573, 74812, 33464, 1018, 5213, 236840, 11069, 6503, 7343, 236842, 1018, 12096, 49501, 105971, 573, 870, 5950, 7343, 236842, 5213, 236770, 236761, 15044, 25252, 1018, 1191, 65607, 528, 27912, 2196, 10202, 14143, 236772, 4647, 5052, 5434, 236764, 607, 14739, 528, 236787, 753, 5213, 16493, 236751, 236772, 94971, 23941, 113615, 13000, 1018, 568, 4647, 607, 730, 11558, 40205, 236786, 23390, 3129, 77408, 236768, 753, 5213, 35153, 92723, 18157, 1018, 568, 89024, 236772, 25475, 14431, 16074, 573, 1494, 236772, 2394, 9061, 236768, 753, 5213, 94969, 11205, 36376, 236751, 1018, 568, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 236786, 236778, 236828, 236771, 236771, 236771, 236772, 94636, 28463, 236768, 5213, 236778, 236761, 54482, 2926, 23566, 573, 870, 5950, 7343, 236842, 1018, 808, 12703, 573, 41385, 4109, 27912, 149681, 753, 5213, 16493, 236751, 63040, 18231, 1258, 66515, 41152, 63232, 531, 562, 6864, 8443, 532, 44696, 49094, 2621, 753, 5213, 8999, 12096, 62840, 66515, 12498, 236772, 27612, 16878, 11734, 532, 2802, 2256, 808, 12703, 573, 1572, 683, 236781, 17734, 74812, 149681, 753, 5213, 236788, 236772, 25351, 86416, 64608, 66515, 10170, 236772, 2289, 28887, 3797, 573, 1494, 236772, 2394, 85325, 753, 5213, 149127, 180816, 66515, 5774, 41480, 573, 18241, 3997, 3797, 5213, 236800, 236761, 74484, 529, 5490, 1018, 753, 25348, 236743, 236770, 236787, 63040, 62478, 13768, 568, 236800, 236771, 2668, 236768, 753, 25348, 236743, 236778, 236787, 1804, 7803, 833, 22977, 52414, 12730, 568, 236825, 236771, 2668, 236768, 753, 25348, 236743, 236800, 236787, 50698, 833, 18982, 17263, 568, 236819, 236771, 2668, 236768, 5213, 236812, 236761, 79913, 833, 30234, 1018, 753, 175014, 21212, 2721, 580, 2196, 10202, 19595, 568, 236863, 11558, 40205, 236786, 23390, 3129, 236786, 6354, 40205, 236768, 753, 35032, 71884, 19240, 531, 22902, 71884, 5213, 236810, 236761, 15316, 14419, 1018, 753, 623, 13483, 2600, 496, 236743, 236812, 236771, 236908, 9095, 528, 20548, 34047, 573, 496, 44696, 236772, 5140, 33923, 6218, 1343, 22977, 236743, 236778, 236828, 236771, 236771, 236771, 236772, 4647, 28463, 236775, 753, 623, 83780, 12498, 28687, 657, 496, 22529, 3129, 31882, 236764, 23673, 236743, 236770, 236771, 236771, 236908, 14143, 607, 143242, 36376, 8443, 236775, 9190, 5213, 9272, 50228, 573, 1599, 1018, 236743, 236770, 236761, 5213, 232866, 506, 7930, 1018, 573, 3530, 4699, 568, 236744, 236761, 236759, 1126, 8357, 5213, 27495, 236772, 38321, 33972, 5052, 1018, 573, 76245, 769, 236743, 236778, 236761, 5213, 11431, 2196, 10202, 11787, 1018, 568, 236744, 236761, 236759, 1126, 730, 11558, 40205, 63040, 5570, 236768, 531, 16807, 22902, 6035, 236761, 236743, 236800, 236761, 5213, 164419, 676, 822, 3399, 3707, 66515, 32300, 607, 44696, 236772, 5140, 14143, 49844, 568, 236744, 236761, 236759, 1126, 5213, 236791, 133965, 44696, 119542, 531, 13878, 25398, 236761, 21284, 611, 1133, 786, 531, 12262, 496, 5213, 15396, 15523, 3336, 1018, 573, 886, 529, 1239, 4699, 568, 236744, 236761, 236759, 1126, 41385, 4109, 653, 76245, 236768, 653, 59638, 506, 14143, 60218, 3342, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 5213, 186192, 2970, 2731, 1018, 531, 1601, 611, 96820, 822, 4313, 532, 9584, 16374, 607, 27912, 236789, 236751, 33972, 4699, 236787, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 10867, 688, 166764, 607, 22202, 69934, 1018, 138, 107, 1018, 15354, 580, 41385, 4109, 27912, 653, 76245, 1018, 568, 11480, 236772, 2394, 14989, 2779, 531, 910, 4185, 5559, 769, 138, 107, 1018, 3218, 1239, 10458, 531, 822, 15523, 66515, 138, 107, 236772, 5213, 210282, 30076, 28707, 66515, 138, 107, 138, 236772, 14691, 236787, 165996, 2542, 41385, 4109, 236858, 236751, 9714, 42310, 236764, 692, 5840, 76702, 12498, 236772, 36359, 16878, 13909, 3797, 531, 6440, 62362, 2802, 236764, 13471, 159069, 13682, 684, 236743, 236832, 236771, 236908, 1781, 236829, 138, 107, 236772, 5213, 135930, 13768, 66515, 138, 107, 138, 236772, 14691, 236787, 165996, 7711, 22977, 236743, 236778, 236828, 236771, 236771, 236771, 236772, 4647, 6429, 7797, 5052, 1458, 795, 6439, 31915, 34211, 684, 236743, 236800, 236771, 236908, 532, 4006, 562, 6864, 22902, 18190, 1781, 236829, 138, 107, 236772, 5213, 58972, 67831, 66515, 138, 107, 138, 236772, 14691, 236787, 165996, 68105, 529, 11775, 20502, 21010, 607, 27912, 58345, 236858, 5177, 5058, 573, 1759, 236772, 2289, 20548, 21199, 14143, 1781, 236829, 138, 108, 1018, 30134, 19536, 236881, 1018, 3792, 786, 12262, 496, 5213, 79205, 3336, 1018, 573, 822, 15523, 568, 236744, 236761, 236759, 1126, 12498, 28687, 12434, 653, 22477, 236772, 37716, 45759, 769, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 130009, 9617, 27773, 83007, 1018, 138, 107, 1018, 15829, 19955, 531, 730, 11558, 40205, 236786, 23390, 3129, 63040, 46001, 66515, 138, 107, 2717, 138, 107, 21288, 236787, 87101, 580, 12096, 63040, 33197, 573, 74812, 33464, 138, 108, 31163, 870, 236863, 11558, 40205, 236786, 23390, 3129, 63040, 16186, 1604, 138, 108, 236777, 1006, 870, 11069, 7343, 1604, 496, 5052, 31421, 68916, 528, 27912, 2196, 10202, 33972, 5052, 236761, 564, 1006, 43920, 7391, 1133, 41385, 4109, 27912, 532, 76245, 30510, 35211, 607, 14143, 531, 22977, 236743, 236778, 236828, 236771, 236771, 236771, 236764, 44696, 5774, 18157, 6563, 236764, 532, 143242, 36376, 8443, 236761, 138, 108, 30092, 611, 5091, 4024, 236787, 138, 107, 236770, 236761, 669, 5213, 15396, 5052, 28463, 1018, 3149, 573, 33972, 13448, 528, 822, 2196, 10202, 236881, 138, 107, 236778, 236761, 7129, 5213, 18289, 8112, 1018, 653, 37360, 4354, 573, 4168, 236772, 7362, 5052, 15063, 2844, 607, 2196, 10202, 14601, 236881, 138, 108, 236777, 1093, 14562, 14756, 1027, 5125, 13049, 653, 14984, 611, 740, 2847, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 6503, 236842, 138, 107, 236840, 11431, 8230, 236842, 138, 107, 2717, 138, 107, 1018, 30134, 19536, 236881, 1018, 564, 740, 59638, 672, 4553, 653, 12262, 886, 573, 496, 3530, 2196, 10202, 568, 236744, 236761, 236759, 1126, 14634, 40205, 769, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 32300, 607, 12263, 94304, 1018, 138, 107, 1018, 10206, 151804, 66515, 138, 107, 236772, 5213, 236791, 133965, 44696, 1018, 568, 71703, 7797, 4652, 36639, 236768, 138, 107, 236772, 5213, 236855, 155264, 32180, 49501, 1018, 568, 145978, 11205, 14143, 236768, 138, 107, 236772, 5213, 2368, 21263, 11901, 833, 6503, 1018, 568, 12921, 14143, 11848, 236768, 138, 108, 1018, 3135, 20232, 66515, 138, 107, 236772, 165996, 142031, 606, 531, 2729, 81754, 14143, 900, 5052, 3019, 531, 33972, 14601, 1781, 236829, 138, 107, 236772, 6890, 910, 2263, 14739, 531, 4592, 236772, 11861, 83073, 568, 236744, 236761, 236759, 1126, 22977, 236743, 236778, 236832, 236771, 236771, 236770, 769, 138, 108, 1018, 30134, 19536, 236881, 1018, 564, 740, 12262, 496, 5213, 232958, 12861, 4553, 1018, 531, 886, 529, 1239, 14601, 236761, 108, 7243, 108, 10354, 5213, 5471, 236743, 236812, 236787, 78707, 62986, 607, 496, 54832, 7879, 1018, 138, 107, 1018, 147609, 66515, 138, 107, 236770, 236761, 46816, 496, 5213, 6796, 14143, 24391, 1018, 531, 496, 5453, 236772, 21928, 33972, 6218, 568, 236744, 236761, 236759, 1126, 27912, 74812, 6503, 769, 138, 107, 236778, 236761, 6890, 12396, 531, 2619, 496, 5213, 4925, 2748, 1018, 568, 236744, 236761, 236759, 1126, 165996, 45665, 6379, 236743, 236770, 236771, 236771, 236908, 730, 11558, 40205, 5052, 14143, 528, 236743, 236825, 236771, 2668, 147698, 769, 138, 107, 236800, 236761, 212649, 672, 7724, 529, 3495, 531, 12861, 6268, 14601, 1133, 1572, 683, 236781, 653, 76245, 236761, 138, 108, 1018, 30134, 19536, 236881, 1018, 564, 740, 2619, 496, 5213, 92973, 24391, 60218, 1018, 653, 496, 5213, 4925, 2748, 7930, 84750, 108, 7243, 108, 10354, 5213, 5471, 236743, 236810, 236787, 16344, 8112, 173160, 1018, 138, 107, 1018, 110613, 57354, 66515, 138, 107, 236770, 236761, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 236786, 236778, 236828, 236771, 236771, 236771, 66515, 9187, 506, 22902, 1657, 4323, 506, 5213, 126391, 172430, 6022, 568, 137182, 62902, 236761, 138, 107, 236778, 236761, 5213, 168205, 14815, 529, 37602, 11440, 66515, 30839, 573, 13196, 531, 4476, 5052, 3797, 236761, 138, 107, 236800, 236761, 5213, 236776, 6864, 52414, 66515, 32300, 607, 27912, 58345, 236772, 552, 113608, 49844, 236761, 138, 108, 1018, 30134, 19536, 236881, 1018, 564, 740, 18161, 496, 5213, 9340, 236772, 2003, 236772, 9340, 34315, 1018, 573, 83073, 236761, 108, 7243, 108, 10354, 5213, 3689, 21284, 1599, 9929, 531, 3574, 12067, 236881, 1018, 138, 107, 236770, 236761, 16187, 969, 496, 5213, 155017, 3336, 1018, 573, 41385, 4109, 653, 76245, 607, 8330, 4889, 236761, 138, 107, 236778, 236761, 41261, 5213, 725, 26358, 24157, 1018, 531, 2196, 10202, 11787, 653, 2263, 6627, 236761, 138, 107, 236800, 236761, 8600, 496, 5213, 92973, 24391, 5904, 1018, 653, 5213, 4925, 2748, 7930, 84750, 138, 107, 236812, 236761, 8689, 496, 5213, 206906, 75716, 1018, 607, 58658, 532, 5384, 236761, 138, 108, 6481, 786, 1281, 822, 13546, 237028, 236777, 236858, 859, 5518, 83979, 3004, 2351, 4310, 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, 4284, 7946, 1343, 37038, 532, 1202, 531, 7408, 496, 1456, 1295, 21344, 573, 67828, 1041, 13290, 236761, 3792, 236789, 236751, 1502, 684, 19460, 17064, 6866, 236761, 2108, 573, 623, 3456, 1295, 21344, 236775, 38332, 3418, 784, 9576, 236761, 9920, 692, 735, 1724, 2536, 236764, 564, 1461, 531, 5957, 1091, 10916, 531, 1407, 1186, 38332, 528, 749, 605, 3897, 236746, 10028, 2338, 600, 236789, 236751, 1298, 564, 236789, 859, 15074, 236761, 4298, 236764, 1531, 236789, 236751, 776, 506, 1638, 1657, 580, 183149, 236761, 13268, 753, 1171, 496, 2870, 3927, 573, 623, 3456, 1295, 21344, 827, 1299, 35129, 1724, 2536, 531, 1186, 1407, 32364, 2800, 113447, 10028, 38332, 2338, 564, 236789, 859, 577, 18154, 993, 3209, 236761, 13472, 236764, 10769, 784, 2390, 7093, 529, 2536, 568, 68506, 6866, 236761, 2108, 2870, 236764, 17064, 6866, 236761, 2108, 749, 605, 3897, 236746, 236764, 183149, 236761, 13268, 2870, 236764, 183149, 236761, 13268, 32364, 2800, 113447, 236768, 531, 8701, 506, 1346, 17075, 1388, 236772, 151805, 21344, 3835, 2487, 236761, 3199, 611, 1601, 786, 1586, 506, 1791, 2653, 3772, 699, 1239, 14175, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 33593, 3331, 73565, 753, 236743, 236770, 236800, 236771, 236771, 7022, 61242, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236778, 236771, 236771, 827, 623, 7777, 1083, 623, 13086, 236772, 151805, 21344, 607, 4803, 28415, 2509, 236761, 66530, 573, 9371, 872, 531, 236743, 236770, 236800, 236771, 236771, 7022, 236761, 79855, 607, 25315, 22961, 532, 5904, 5689, 10498, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236770, 236778, 236800, 236812, 236810, 827, 623, 7125, 1083, 623, 236814, 1416, 55097, 23179, 3714, 3250, 1083, 623, 2368, 123264, 3331, 73565, 753, 10847, 48396, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236819, 236810, 236771, 827, 623, 7777, 1083, 623, 2368, 123264, 5528, 21344, 1456, 573, 1944, 9371, 236761, 7886, 4194, 236764, 9875, 66611, 580, 9174, 236761, 70987, 532, 57472, 10498, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236825, 236832, 236828, 236819, 236771, 827, 623, 7125, 1083, 623, 45939, 5008, 23179, 3714, 3250, 1083, 623, 71476, 48396, 73565, 753, 236743, 236778, 236771, 236771, 236771, 7022, 61242, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236810, 236771, 236771, 827, 623, 7777, 1083, 623, 81343, 236772, 9619, 21344, 607, 5898, 44258, 236761, 35653, 83753, 236761, 66530, 573, 2455, 11182, 10498, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236810, 236812, 236800, 236778, 236770, 827, 623, 7125, 1083, 623, 236774, 1414, 627, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 5576, 236779, 12103, 236779, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 547, 1083, 623, 236814, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 33593, 3331, 73565, 753, 236743, 236770, 236800, 236771, 236771, 7022, 61242, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236828, 236810, 236771, 827, 623, 7125, 1083, 623, 236814, 1416, 55097, 827, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236814, 236770, 236778, 236800, 236812, 236810, 827, 623, 19216, 1083, 623, 11947, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 23179, 3714, 547, 1083, 623, 236814, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 153342, 3331, 73565, 753, 113693, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236764, 236778, 236771, 236771, 827, 623, 7125, 1083, 623, 45939, 5008, 827, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236814, 236825, 236832, 236828, 236819, 236771, 827, 623, 19216, 1083, 623, 60881, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 25938, 1604, 623, 6011, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 41028, 236779, 78660, 236779, 12103, 1083, 236743, 236812, 236764, 623, 9707, 236779, 8572, 1083, 6443, 236756, 236778, 236771, 552, 236832, 236810, 236771, 753, 621, 236756, 236778, 236771, 552, 236770, 236764, 236810, 236771, 236771, 827, 623, 28128, 236779, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236764, 236771, 236778, 236810, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 33593, 3331, 73565, 753, 236743, 236770, 236778, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 9707, 1083, 623, 236770, 236778, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 7125, 1083, 623, 236814, 1416, 55097, 236764, 749, 605, 3897, 236746, 827, 623, 21052, 1083, 3714, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 19216, 1083, 623, 11947, 827, 623, 4368, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 2883, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 236770, 236778, 236800, 236812, 236810, 236775, 5237, 3714, 3250, 1083, 623, 33272, 4250, 73565, 573, 50267, 753, 236743, 236828, 236810, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 9707, 1083, 623, 236828, 236810, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 7125, 1083, 623, 236774, 1414, 627, 236764, 32364, 2800, 113447, 827, 623, 21052, 1083, 3714, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 19216, 1083, 623, 62622, 568, 91180, 9875, 27627, 22730, 623, 4368, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236778, 236764, 623, 2883, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 236825, 236832, 236828, 236819, 236771, 236775, 5237, 3714, 3250, 1083, 623, 153342, 3331, 73565, 753, 236743, 236770, 236810, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 9707, 1083, 623, 236770, 236810, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 7125, 1083, 623, 236806, 13511, 236764, 15632, 39256, 19889, 1235, 14226, 827, 623, 21052, 1083, 3714, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236771, 827, 623, 19216, 1083, 623, 60881, 827, 623, 4368, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 2883, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 236770, 236770, 236778, 236778, 236800, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 3250, 1083, 623, 33593, 1295, 21344, 236743, 236770, 236800, 236771, 236771, 7022, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236778, 236771, 236771, 827, 623, 7125, 1083, 623, 236774, 1414, 627, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 8855, 2800, 113447, 236786, 3456, 236779, 4554, 236779, 145876, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 19216, 1083, 623, 11947, 827, 623, 16518, 1083, 11058, 236763, 123628, 827, 623, 190607, 22961, 827, 623, 43852, 17611, 152254, 3714, 3250, 1083, 623, 24497, 21344, 573, 1295, 5203, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236828, 236810, 236771, 827, 623, 7125, 1083, 623, 236798, 7133, 236785, 236756, 236771, 236771, 236744, 236812, 236785, 236756, 236771, 236771, 236744, 236812, 236752, 236785, 236756, 236771, 236771, 236744, 236812, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 8855, 2800, 113447, 236786, 10732, 236779, 145876, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 19216, 1083, 623, 62622, 827, 623, 16518, 1083, 11058, 34710, 2890, 827, 623, 13393, 742, 28954, 99471, 1604, 623, 2305, 236779, 6011, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 28128, 236779, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236771, 236778, 236810, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 2536, 699, 784, 2390, 27490, 236787, 108, 1018, 236770, 236761, 17064, 6866, 236761, 2108, 5884, 12808, 6791, 3456, 1295, 21344, 27077, 1018, 107, 236772, 5213, 236800, 38332, 1018, 1765, 151969, 236819, 236810, 236771, 236772, 237762, 236770, 236810, 236771, 236771, 236768, 107, 236772, 7660, 17075, 236787, 11361, 236819, 236810, 236771, 568, 2368, 123264, 21344, 528, 15507, 5008, 236764, 9875, 66611, 236768, 107, 236772, 32173, 5086, 236787, 11361, 236770, 236810, 236771, 236771, 568, 71476, 236772, 57684, 21344, 528, 116684, 627, 236768, 107, 236772, 12613, 236787, 236743, 236778, 236832, 38332, 2487, 568, 8960, 1903, 2536, 3505, 236768, 108, 1018, 236778, 236761, 17064, 6866, 236761, 2108, 749, 605, 3897, 236746, 5796, 28293, 53121, 107, 236772, 5213, 236778, 38332, 1018, 151969, 236828, 236810, 236771, 236772, 237762, 236770, 236778, 236771, 236771, 236768, 107, 236772, 8890, 3772, 236787, 11361, 236828, 236810, 236771, 568, 13086, 236772, 151805, 21344, 528, 74520, 236764, 5132, 25315, 22961, 236786, 130107, 236768, 107, 236772, 34474, 236772, 643, 236787, 11361, 236770, 236778, 236771, 236771, 568, 153342, 21344, 528, 15507, 5008, 236764, 623, 60881, 236775, 4194, 236768, 108, 1018, 236800, 236761, 183149, 236761, 13268, 5884, 12808, 6791, 3456, 1295, 21344, 27077, 1018, 107, 236772, 5213, 236800, 38332, 1018, 151969, 236828, 236810, 236771, 236772, 237762, 236770, 236810, 236771, 236771, 236768, 107, 236772, 29125, 5086, 236787, 11361, 236828, 236810, 236771, 568, 33272, 4250, 21344, 528, 116684, 627, 236764, 623, 62622, 236775, 4194, 236768, 107, 236772, 32173, 236787, 11361, 236770, 236810, 236771, 236771, 568, 153342, 21344, 528, 708, 13511, 236764, 236743, 236778, 236771, 236770, 236828, 2028, 236768, 108, 1018, 236812, 236761, 183149, 236761, 13268, 32364, 2800, 113447, 5796, 28293, 53121, 107, 236772, 5213, 236778, 38332, 1018, 151969, 236828, 236810, 236771, 236772, 237762, 236770, 236778, 236771, 236771, 236768, 107, 236772, 12155, 4351, 236787, 11361, 236828, 236810, 236771, 568, 18397, 21344, 528, 639, 7133, 236970, 12654, 236970, 236764, 623, 62622, 236775, 4194, 236768, 107, 236772, 14537, 236772, 8572, 236787, 11361, 236770, 236778, 236771, 236771, 568, 236770, 236800, 236771, 236771, 7022, 21344, 528, 116684, 627, 236764, 5132, 44258, 236786, 190607, 22961, 236768, 108, 7243, 108, 10354, 5213, 8534, 91330, 53121, 107, 236770, 236761, 5213, 17043, 29125, 19993, 53121, 138, 107, 139, 236772, 5213, 237762, 236828, 236810, 236771, 1018, 21344, 580, 808, 68506, 6866, 236761, 2108, 236829, 568, 236814, 1416, 55097, 236764, 749, 605, 3897, 236746, 236768, 138, 107, 141, 236772, 7134, 236772, 151805, 236764, 5132, 25315, 22961, 833, 98889, 138, 107, 141, 236772, 45891, 573, 822, 16257, 1523, 528, 749, 605, 3897, 236746, 138, 108, 236778, 236761, 5213, 17043, 12155, 573, 32364, 2800, 113447, 53121, 138, 107, 139, 236772, 5213, 237762, 236828, 236810, 236771, 1018, 21344, 580, 808, 236774, 6886, 236761, 13268, 236829, 568, 236798, 7133, 236970, 12654, 236970, 236764, 32364, 2800, 113447, 236768, 138, 107, 141, 236772, 26959, 2157, 840, 7087, 9875, 27627, 138, 107, 141, 236772, 64063, 4194, 4889, 607, 20925, 138, 108, 236800, 236761, 5213, 230879, 34742, 53121, 138, 107, 139, 236772, 5213, 237762, 236770, 236778, 236771, 236771, 1018, 21344, 580, 808, 236774, 6886, 236761, 13268, 236829, 568, 236774, 1414, 627, 236764, 32364, 2800, 113447, 236768, 138, 107, 141, 236772, 79855, 607, 44258, 532, 4803, 17611, 138, 107, 141, 236772, 66530, 573, 3209, 4301, 528, 32364, 2800, 113447, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 53121, 107, 236770, 236761, 13948, 506, 5213, 68506, 6866, 236761, 2108, 74520, 20925, 1018, 151969, 236828, 236810, 236771, 236768, 531, 16807, 15830, 532, 28913, 17611, 236761, 107, 236778, 236761, 7179, 506, 5213, 236774, 6886, 236761, 13268, 639, 7133, 236970, 12654, 236970, 21344, 1018, 151969, 236828, 236810, 236771, 236768, 573, 11790, 5384, 1271, 2473, 577, 24412, 768, 611, 740, 7562, 625, 5869, 236761, 107, 236800, 236761, 44906, 4065, 236787, 669, 5213, 236774, 1414, 627, 183149, 236761, 13268, 21344, 1018, 151969, 236770, 236778, 236771, 236771, 236768, 563, 4547, 506, 1346, 13451, 840, 7087, 4301, 531, 32364, 2800, 113447, 236761, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 3530, 21344, 4065, 568, 236744, 236761, 236759, 1126, 3825, 6541, 236764, 3911, 20625, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 4284, 7946, 1343, 37038, 532, 1202, 531, 7408, 496, 1456, 1295, 21344, 573, 67828, 1041, 13290, 236761, 3792, 236789, 236751, 1502, 684, 19460, 17064, 6866, 236761, 2108, 573, 623, 3456, 1295, 21344, 236775, 38332, 3418, 784, 9576, 236761, 9920, 692, 735, 1724, 2536, 236764, 564, 1461, 531, 5957, 1091, 10916, 531, 1407, 1186, 38332, 528, 749, 605, 3897, 236746, 10028, 2338, 600, 236789, 236751, 1298, 564, 236789, 859, 15074, 236761, 4298, 236764, 1531, 236789, 236751, 776, 506, 1638, 1657, 580, 183149, 236761, 13268, 753, 1171, 496, 2870, 3927, 573, 623, 3456, 1295, 21344, 827, 1299, 35129, 1724, 2536, 531, 1186, 1407, 32364, 2800, 113447, 10028, 38332, 2338, 564, 236789, 859, 577, 18154, 993, 3209, 236761, 13472, 236764, 10769, 784, 2390, 7093, 529, 2536, 568, 68506, 6866, 236761, 2108, 2870, 236764, 17064, 6866, 236761, 2108, 749, 605, 3897, 236746, 236764, 183149, 236761, 13268, 2870, 236764, 183149, 236761, 13268, 32364, 2800, 113447, 236768, 531, 8701, 506, 1346, 17075, 1388, 236772, 151805, 21344, 3835, 2487, 236761, 3199, 611, 1601, 786, 1586, 506, 1791, 2653, 3772, 699, 1239, 14175, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 33593, 3331, 73565, 753, 236743, 236770, 236800, 236771, 236771, 7022, 61242, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236778, 236771, 236771, 827, 623, 7777, 1083, 623, 13086, 236772, 151805, 21344, 607, 4803, 28415, 2509, 236761, 66530, 573, 9371, 872, 531, 236743, 236770, 236800, 236771, 236771, 7022, 236761, 79855, 607, 25315, 22961, 532, 5904, 5689, 10498, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236770, 236778, 236800, 236812, 236810, 827, 623, 7125, 1083, 623, 236814, 1416, 55097, 23179, 3714, 3250, 1083, 623, 2368, 123264, 3331, 73565, 753, 10847, 48396, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236819, 236810, 236771, 827, 623, 7777, 1083, 623, 2368, 123264, 5528, 21344, 1456, 573, 1944, 9371, 236761, 7886, 4194, 236764, 9875, 66611, 580, 9174, 236761, 70987, 532, 57472, 10498, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236825, 236832, 236828, 236819, 236771, 827, 623, 7125, 1083, 623, 45939, 5008, 23179, 3714, 3250, 1083, 623, 71476, 48396, 73565, 753, 236743, 236778, 236771, 236771, 236771, 7022, 61242, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236810, 236771, 236771, 827, 623, 7777, 1083, 623, 81343, 236772, 9619, 21344, 607, 5898, 44258, 236761, 35653, 83753, 236761, 66530, 573, 2455, 11182, 10498, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236810, 236812, 236800, 236778, 236770, 827, 623, 7125, 1083, 623, 236774, 1414, 627, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 5576, 236779, 12103, 236779, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 547, 1083, 623, 236814, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 33593, 3331, 73565, 753, 236743, 236770, 236800, 236771, 236771, 7022, 61242, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236828, 236810, 236771, 827, 623, 7125, 1083, 623, 236814, 1416, 55097, 827, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236814, 236770, 236778, 236800, 236812, 236810, 827, 623, 19216, 1083, 623, 11947, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 23179, 3714, 547, 1083, 623, 236814, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 153342, 3331, 73565, 753, 113693, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236764, 236778, 236771, 236771, 827, 623, 7125, 1083, 623, 45939, 5008, 827, 623, 2451, 1083, 623, 2574, 1411, 9360, 6866, 236761, 2108, 236786, 1582, 236786, 236814, 236825, 236832, 236828, 236819, 236771, 827, 623, 19216, 1083, 623, 60881, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 25938, 1604, 623, 6011, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 41028, 236779, 78660, 236779, 12103, 1083, 236743, 236812, 236764, 623, 9707, 236779, 8572, 1083, 6443, 236756, 236778, 236771, 552, 236832, 236810, 236771, 753, 621, 236756, 236778, 236771, 552, 236770, 236764, 236810, 236771, 236771, 827, 623, 28128, 236779, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236764, 236771, 236778, 236810, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 33593, 3331, 73565, 753, 236743, 236770, 236778, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 9707, 1083, 623, 236770, 236778, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 7125, 1083, 623, 236814, 1416, 55097, 236764, 749, 605, 3897, 236746, 827, 623, 21052, 1083, 3714, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 19216, 1083, 623, 11947, 827, 623, 4368, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 2883, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 236770, 236778, 236800, 236812, 236810, 236775, 5237, 3714, 3250, 1083, 623, 33272, 4250, 73565, 573, 50267, 753, 236743, 236828, 236810, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 9707, 1083, 623, 236828, 236810, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 7125, 1083, 623, 236774, 1414, 627, 236764, 32364, 2800, 113447, 827, 623, 21052, 1083, 3714, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 19216, 1083, 623, 62622, 568, 91180, 9875, 27627, 22730, 623, 4368, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236778, 236764, 623, 2883, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 236825, 236832, 236828, 236819, 236771, 236775, 5237, 3714, 3250, 1083, 623, 153342, 3331, 73565, 753, 236743, 236770, 236810, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 9707, 1083, 623, 236770, 236810, 236771, 236771, 236785, 236756, 236778, 236771, 552, 827, 623, 7125, 1083, 623, 236806, 13511, 236764, 15632, 39256, 19889, 1235, 14226, 827, 623, 21052, 1083, 3714, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236771, 827, 623, 19216, 1083, 623, 60881, 827, 623, 4368, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 2883, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 236770, 236770, 236778, 236778, 236800, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52748, 1083, 78493, 3250, 1083, 623, 33593, 1295, 21344, 236743, 236770, 236800, 236771, 236771, 7022, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236778, 236771, 236771, 827, 623, 7125, 1083, 623, 236774, 1414, 627, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 8855, 2800, 113447, 236786, 3456, 236779, 4554, 236779, 145876, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 19216, 1083, 623, 11947, 827, 623, 16518, 1083, 11058, 236763, 123628, 827, 623, 190607, 22961, 827, 623, 43852, 17611, 152254, 3714, 3250, 1083, 623, 24497, 21344, 573, 1295, 5203, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236828, 236810, 236771, 827, 623, 7125, 1083, 623, 236798, 7133, 236785, 236756, 236771, 236771, 236744, 236812, 236785, 236756, 236771, 236771, 236744, 236812, 236752, 236785, 236756, 236771, 236771, 236744, 236812, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 6886, 236761, 13268, 236786, 8855, 2800, 113447, 236786, 10732, 236779, 145876, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 19216, 1083, 623, 62622, 827, 623, 16518, 1083, 11058, 34710, 2890, 827, 623, 13393, 742, 28954, 99471, 1604, 623, 2305, 236779, 6011, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 28128, 236779, 9707, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236771, 236778, 236810, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 2536, 699, 784, 2390, 27490, 236787, 108, 1018, 236770, 236761, 17064, 6866, 236761, 2108, 5884, 12808, 6791, 3456, 1295, 21344, 27077, 1018, 107, 236772, 5213, 236800, 38332, 1018, 1765, 151969, 236819, 236810, 236771, 236772, 237762, 236770, 236810, 236771, 236771, 236768, 107, 236772, 7660, 17075, 236787, 11361, 236819, 236810, 236771, 568, 2368, 123264, 21344, 528, 15507, 5008, 236764, 9875, 66611, 236768, 107, 236772, 32173, 5086, 236787, 11361, 236770, 236810, 236771, 236771, 568, 71476, 236772, 57684, 21344, 528, 116684, 627, 236768, 107, 236772, 12613, 236787, 236743, 236778, 236832, 38332, 2487, 568, 8960, 1903, 2536, 3505, 236768, 108, 1018, 236778, 236761, 17064, 6866, 236761, 2108, 749, 605, 3897, 236746, 5796, 28293, 53121, 107, 236772, 5213, 236778, 38332, 1018, 151969, 236828, 236810, 236771, 236772, 237762, 236770, 236778, 236771, 236771, 236768, 107, 236772, 8890, 3772, 236787, 11361, 236828, 236810, 236771, 568, 13086, 236772, 151805, 21344, 528, 74520, 236764, 5132, 25315, 22961, 236786, 130107, 236768, 107, 236772, 34474, 236772, 643, 236787, 11361, 236770, 236778, 236771, 236771, 568, 153342, 21344, 528, 15507, 5008, 236764, 623, 60881, 236775, 4194, 236768, 108, 1018, 236800, 236761, 183149, 236761, 13268, 5884, 12808, 6791, 3456, 1295, 21344, 27077, 1018, 107, 236772, 5213, 236800, 38332, 1018, 151969, 236828, 236810, 236771, 236772, 237762, 236770, 236810, 236771, 236771, 236768, 107, 236772, 29125, 5086, 236787, 11361, 236828, 236810, 236771, 568, 33272, 4250, 21344, 528, 116684, 627, 236764, 623, 62622, 236775, 4194, 236768, 107, 236772, 32173, 236787, 11361, 236770, 236810, 236771, 236771, 568, 153342, 21344, 528, 708, 13511, 236764, 236743, 236778, 236771, 236770, 236828, 2028, 236768, 108, 1018, 236812, 236761, 183149, 236761, 13268, 32364, 2800, 113447, 5796, 28293, 53121, 107, 236772, 5213, 236778, 38332, 1018, 151969, 236828, 236810, 236771, 236772, 237762, 236770, 236778, 236771, 236771, 236768, 107, 236772, 12155, 4351, 236787, 11361, 236828, 236810, 236771, 568, 18397, 21344, 528, 639, 7133, 236970, 12654, 236970, 236764, 623, 62622, 236775, 4194, 236768, 107, 236772, 14537, 236772, 8572, 236787, 11361, 236770, 236778, 236771, 236771, 568, 236770, 236800, 236771, 236771, 7022, 21344, 528, 116684, 627, 236764, 5132, 44258, 236786, 190607, 22961, 236768, 108, 7243, 108, 10354, 5213, 8534, 91330, 53121, 107, 236770, 236761, 5213, 17043, 29125, 19993, 53121, 138, 107, 139, 236772, 5213, 237762, 236828, 236810, 236771, 1018, 21344, 580, 808, 68506, 6866, 236761, 2108, 236829, 568, 236814, 1416, 55097, 236764, 749, 605, 3897, 236746, 236768, 138, 107, 141, 236772, 7134, 236772, 151805, 236764, 5132, 25315, 22961, 833, 98889, 138, 107, 141, 236772, 45891, 573, 822, 16257, 1523, 528, 749, 605, 3897, 236746, 138, 108, 236778, 236761, 5213, 17043, 12155, 573, 32364, 2800, 113447, 53121, 138, 107, 139, 236772, 5213, 237762, 236828, 236810, 236771, 1018, 21344, 580, 808, 236774, 6886, 236761, 13268, 236829, 568, 236798, 7133, 236970, 12654, 236970, 236764, 32364, 2800, 113447, 236768, 138, 107, 141, 236772, 26959, 2157, 840, 7087, 9875, 27627, 138, 107, 141, 236772, 64063, 4194, 4889, 607, 20925, 138, 108, 236800, 236761, 5213, 230879, 34742, 53121, 138, 107, 139, 236772, 5213, 237762, 236770, 236778, 236771, 236771, 1018, 21344, 580, 808, 236774, 6886, 236761, 13268, 236829, 568, 236774, 1414, 627, 236764, 32364, 2800, 113447, 236768, 138, 107, 141, 236772, 79855, 607, 44258, 532, 4803, 17611, 138, 107, 141, 236772, 66530, 573, 3209, 4301, 528, 32364, 2800, 113447, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 53121, 107, 236770, 236761, 13948, 506, 5213, 68506, 6866, 236761, 2108, 74520, 20925, 1018, 151969, 236828, 236810, 236771, 236768, 531, 16807, 15830, 532, 28913, 17611, 236761, 107, 236778, 236761, 7179, 506, 5213, 236774, 6886, 236761, 13268, 639, 7133, 236970, 12654, 236970, 21344, 1018, 151969, 236828, 236810, 236771, 236768, 573, 11790, 5384, 1271, 2473, 577, 24412, 768, 611, 740, 7562, 625, 5869, 236761, 107, 236800, 236761, 44906, 4065, 236787, 669, 5213, 236774, 1414, 627, 183149, 236761, 13268, 21344, 1018, 151969, 236770, 236778, 236771, 236771, 236768, 563, 4547, 506, 1346, 13451, 840, 7087, 4301, 531, 32364, 2800, 113447, 236761, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 3530, 21344, 4065, 568, 236744, 236761, 236759, 1126, 3825, 6541, 236764, 3911, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1586, 506, 20058, 17253, 573, 9630, 8712, 236764, 16586, 236881, 564, 1202, 531, 2426, 768, 1041, 2033, 3421, 16071, 2351, 506, 12373, 2509, 2433, 573, 496, 861, 14770, 8379, 12454, 564, 236789, 236757, 11337, 236761, 669, 5886, 1697, 6950, 3530, 20058, 17253, 607, 2480, 6224, 236764, 840, 564, 1537, 236789, 236745, 735, 1091, 30569, 1662, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 38548, 1083, 11058, 236800, 236778, 236832, 236812, 236825, 827, 623, 236800, 236778, 236832, 236825, 236810, 827, 623, 236800, 236778, 236832, 236819, 236825, 827, 623, 236800, 236778, 236832, 236812, 236832, 827, 623, 236800, 236778, 236832, 236825, 236825, 99471, 106, 107, 105, 4368, 107, 818, 20058, 17253, 5143, 607, 9630, 8712, 236764, 16586, 659, 236787, 138, 107, 1018, 236800, 236778, 236832, 236812, 236825, 236764, 236743, 236800, 236778, 236832, 236825, 236810, 236764, 236743, 236800, 236778, 236832, 236819, 236825, 236764, 236743, 236800, 236778, 236832, 236812, 236832, 236764, 236743, 236800, 236778, 236832, 236825, 236825, 1018, 138, 108, 25552, 822, 2033, 3421, 3798, 2351, 886, 529, 1239, 20058, 17253, 236881, 1637, 611, 4024, 822, 3530, 20058, 236764, 564, 740, 9128, 3363, 625, 236858, 236751, 5012, 528, 672, 1694, 236761, 106, 107, 105, 2364, 107, 12879, 573, 20104, 506, 20058, 17253, 236888, 564, 1374, 2426, 1041, 3421, 1390, 3551, 2033, 20058, 563, 236743, 236800, 236778, 236832, 236812, 236825, 236761, 2375, 600, 886, 529, 506, 12373, 5906, 607, 2480, 6224, 236881, 106, 107, 105, 4368, 107, 11069, 20058, 3393, 5213, 236800, 236778, 236832, 236812, 236825, 1018, 563, 11161, 886, 529, 506, 9630, 8712, 236764, 16586, 20058, 17253, 9456, 568, 236800, 236778, 236832, 236812, 236825, 236764, 236743, 236800, 236778, 236832, 236825, 236810, 236764, 236743, 236800, 236778, 236832, 236819, 236825, 236764, 236743, 236800, 236778, 236832, 236812, 236832, 236764, 236743, 236800, 236778, 236832, 236825, 236825, 769, 5612, 506, 5886, 1697, 6950, 3530, 20058, 17253, 607, 2480, 6224, 236764, 611, 1149, 1461, 531, 9128, 5467, 607, 506, 12454, 3363, 5213, 236800, 236778, 236832, 236812, 236825, 1018, 103251, 573, 1724, 12373, 6224, 236761, 18692, 4767, 5872, 568, 236744, 236761, 236759, 1126, 33417, 531, 12308, 236768, 2473, 7630, 40243, 1581, 2351, 496, 20058, 3393, 236761, 106, 107, 105, 2364, 107, 11947, 531, 1281, 236743, 236800, 236778, 236832, 236812, 236825, 563, 580, 506, 1694, 236888, 669, 5886, 1697, 6950, 40243, 2473, 4911, 580, 33417, 531, 12308, 236761, 5612, 506, 12454, 236858, 236751, 4456, 4038, 236858, 236745, 37386, 672, 236764, 564, 236858, 859, 1202, 531, 2246, 1091, 5467, 607, 1041, 20058, 3393, 531, 9128, 236761, 11017, 573, 506, 1601, 91240, 1679, 506, 20058, 17253, 1171, 236888, 106, 107, 105, 4368, 107, 3048, 236789, 500, 8349, 236888, 1030, 236789, 236751, 1822, 600, 611, 735, 506, 20058, 3393, 10778, 236761, 80340, 506, 12454, 5467, 607, 5213, 236800, 236778, 236832, 236812, 236825, 1018, 1374, 37386, 768, 822, 3421, 103251, 573, 506, 12373, 6224, 2721, 580, 910, 12308, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 66582, 4137, 531, 2679, 1091, 653, 768, 611, 236858, 236753, 1133, 531, 151350, 4658, 1663, 236761, 7886, 15597, 607, 37319, 506, 1791, 3772, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1586, 506, 20058, 17253, 573, 9630, 8712, 236764, 16586, 236881, 564, 1202, 531, 2426, 768, 1041, 2033, 3421, 16071, 2351, 506, 12373, 2509, 2433, 573, 496, 861, 14770, 8379, 12454, 564, 236789, 236757, 11337, 236761, 669, 5886, 1697, 6950, 3530, 20058, 17253, 607, 2480, 6224, 236764, 840, 564, 1537, 236789, 236745, 735, 1091, 30569, 1662, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 38548, 1083, 11058, 236800, 236778, 236832, 236812, 236825, 827, 623, 236800, 236778, 236832, 236825, 236810, 827, 623, 236800, 236778, 236832, 236819, 236825, 827, 623, 236800, 236778, 236832, 236812, 236832, 827, 623, 236800, 236778, 236832, 236825, 236825, 99471, 106, 107, 105, 4368, 107, 818, 20058, 17253, 5143, 607, 9630, 8712, 236764, 16586, 659, 236787, 138, 107, 1018, 236800, 236778, 236832, 236812, 236825, 236764, 236743, 236800, 236778, 236832, 236825, 236810, 236764, 236743, 236800, 236778, 236832, 236819, 236825, 236764, 236743, 236800, 236778, 236832, 236812, 236832, 236764, 236743, 236800, 236778, 236832, 236825, 236825, 1018, 138, 108, 25552, 822, 2033, 3421, 3798, 2351, 886, 529, 1239, 20058, 17253, 236881, 1637, 611, 4024, 822, 3530, 20058, 236764, 564, 740, 9128, 3363, 625, 236858, 236751, 5012, 528, 672, 1694, 236761, 106, 107, 105, 2364, 107, 12879, 573, 20104, 506, 20058, 17253, 236888, 564, 1374, 2426, 1041, 3421, 1390, 3551, 2033, 20058, 563, 236743, 236800, 236778, 236832, 236812, 236825, 236761, 2375, 600, 886, 529, 506, 12373, 5906, 607, 2480, 6224, 236881, 106, 107, 105, 4368, 107, 11069, 20058, 3393, 5213, 236800, 236778, 236832, 236812, 236825, 1018, 563, 11161, 886, 529, 506, 9630, 8712, 236764, 16586, 20058, 17253, 9456, 568, 236800, 236778, 236832, 236812, 236825, 236764, 236743, 236800, 236778, 236832, 236825, 236810, 236764, 236743, 236800, 236778, 236832, 236819, 236825, 236764, 236743, 236800, 236778, 236832, 236812, 236832, 236764, 236743, 236800, 236778, 236832, 236825, 236825, 769, 5612, 506, 5886, 1697, 6950, 3530, 20058, 17253, 607, 2480, 6224, 236764, 611, 1149, 1461, 531, 9128, 5467, 607, 506, 12454, 3363, 5213, 236800, 236778, 236832, 236812, 236825, 1018, 103251, 573, 1724, 12373, 6224, 236761, 18692, 4767, 5872, 568, 236744, 236761, 236759, 1126, 33417, 531, 12308, 236768, 2473, 7630, 40243, 1581, 2351, 496, 20058, 3393, 236761, 106, 107, 105, 2364, 107, 11947, 531, 1281, 236743, 236800, 236778, 236832, 236812, 236825, 563, 580, 506, 1694, 236888, 669, 5886, 1697, 6950, 40243, 2473, 4911, 580, 33417, 531, 12308, 236761, 5612, 506, 12454, 236858, 236751, 4456, 4038, 236858, 236745, 37386, 672, 236764, 564, 236858, 859, 1202, 531, 2246, 1091, 5467, 607, 1041, 20058, 3393, 531, 9128, 236761, 11017, 573, 506, 1601, 91240, 1679, 506, 20058, 17253, 1171, 236888, 106, 107, 105, 4368, 107, 3048, 236789, 500, 8349, 236888, 1030, 236789, 236751, 1822, 600, 611, 735, 506, 20058, 3393, 10778, 236761, 80340, 506, 12454, 5467, 607, 5213, 236800, 236778, 236832, 236812, 236825, 1018, 1374, 37386, 768, 822, 3421, 103251, 573, 506, 12373, 6224, 2721, 580, 910, 12308, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 66582, 4137, 531, 2679, 1091, 653, 768, 611, 236858, 236753, 1133, 531, 151350, 4658, 1663, 236761, 7886, 15597, 607, 37319, 506, 1791, 3772, 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, 35447, 496, 3399, 18669, 3605, 10317, 580, 82610, 236789, 236751, 4083, 532, 4135, 22249, 236761, 564, 1202, 496, 7501, 529, 12309, 58339, 573, 1607, 20875, 236761, 5315, 236764, 8729, 614, 8205, 73854, 2934, 1003, 2263, 4083, 236761, 4298, 236764, 1699, 506, 3530, 11858, 10562, 699, 506, 1171, 2934, 236764, 2619, 496, 1500, 236772, 1048, 2934, 600, 32407, 625, 531, 496, 14942, 4135, 13234, 653, 8001, 103994, 3432, 236761, 13472, 236764, 768, 506, 1855, 2934, 13842, 8001, 103994, 236764, 8729, 496, 14049, 236772, 10619, 2934, 18482, 46963, 113107, 236793, 7394, 236764, 2619, 886, 1003, 39983, 11858, 7088, 236761, 7714, 2918, 1921, 2016, 580, 506, 3527, 3938, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 1451, 2918, 1131, 1027, 3479, 528, 82610, 236789, 236751, 4083, 573, 496, 1719, 236764, 1144, 2460, 1093, 611, 5347, 532, 3217, 7462, 236783, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 64714, 73854, 19566, 568, 13149, 10358, 1473, 1018, 138, 107, 139, 71510, 2859, 611, 1451, 2918, 1131, 1027, 3479, 528, 82610, 236789, 236751, 4083, 573, 496, 1719, 236764, 1144, 2460, 1093, 611, 5347, 532, 3217, 7462, 236829, 138, 107, 139, 16907, 12703, 3890, 236787, 669, 37813, 529, 506, 159453, 6503, 528, 506, 3649, 236743, 236770, 236828, 236771, 236771, 236751, 236764, 837, 21735, 506, 3207, 236789, 236751, 8459, 22327, 2907, 236829, 138, 108, 236778, 236761, 5213, 27447, 236772, 4674, 568, 16146, 900, 15007, 23855, 236786, 57310, 103994, 1473, 1018, 138, 107, 139, 71510, 3910, 2473, 506, 870, 23200, 74021, 6503, 236789, 236751, 22327, 236842, 735, 21202, 506, 2913, 529, 14942, 3756, 9952, 1133, 169386, 36563, 19212, 3245, 4556, 653, 506, 3415, 27596, 102408, 39412, 94582, 236881, 3574, 611, 1751, 1239, 4106, 22435, 1027, 32678, 529, 82610, 236858, 236751, 8459, 3068, 7462, 236829, 138, 108, 236800, 236761, 5213, 17667, 19566, 568, 117635, 607, 46963, 4472, 5179, 236764, 2338, 8001, 103994, 691, 6950, 1473, 1018, 138, 107, 139, 71510, 12846, 22426, 236858, 236751, 58732, 118791, 40360, 3541, 17110, 7088, 1133, 506, 62399, 2624, 11109, 236761, 1637, 611, 964, 531, 2619, 496, 13415, 28448, 1800, 82610, 236858, 236751, 4083, 532, 1061, 17861, 236764, 1217, 1093, 611, 27968, 113107, 237028, 30468, 236764, 528, 496, 31096, 13696, 684, 236743, 236770, 236819, 594, 236772, 33201, 23642, 653, 496, 4532, 26339, 580, 496, 13979, 5289, 236772, 1741, 13294, 7462, 236829, 138, 108, 7795, 2934, 28402, 580, 506, 3527, 236764, 72628, 4083, 236764, 4135, 236764, 532, 2263, 6540, 1131, 506, 18669, 236858, 236751, 22888, 236888, 236743, 247221, 248315, 247032, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 18669, 3605, 10317, 580, 82610, 236789, 236751, 4083, 532, 4135, 22249, 236761, 564, 1202, 496, 7501, 529, 12309, 58339, 573, 1607, 20875, 236761, 5315, 236764, 8729, 614, 8205, 73854, 2934, 1003, 2263, 4083, 236761, 4298, 236764, 1699, 506, 3530, 11858, 10562, 699, 506, 1171, 2934, 236764, 2619, 496, 1500, 236772, 1048, 2934, 600, 32407, 625, 531, 496, 14942, 4135, 13234, 653, 8001, 103994, 3432, 236761, 13472, 236764, 768, 506, 1855, 2934, 13842, 8001, 103994, 236764, 8729, 496, 14049, 236772, 10619, 2934, 18482, 46963, 113107, 236793, 7394, 236764, 2619, 886, 1003, 39983, 11858, 7088, 236761, 7714, 2918, 1921, 2016, 580, 506, 3527, 3938, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 1451, 2918, 1131, 1027, 3479, 528, 82610, 236789, 236751, 4083, 573, 496, 1719, 236764, 1144, 2460, 1093, 611, 5347, 532, 3217, 7462, 236783, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 64714, 73854, 19566, 568, 13149, 10358, 1473, 1018, 138, 107, 139, 71510, 2859, 611, 1451, 2918, 1131, 1027, 3479, 528, 82610, 236789, 236751, 4083, 573, 496, 1719, 236764, 1144, 2460, 1093, 611, 5347, 532, 3217, 7462, 236829, 138, 107, 139, 16907, 12703, 3890, 236787, 669, 37813, 529, 506, 159453, 6503, 528, 506, 3649, 236743, 236770, 236828, 236771, 236771, 236751, 236764, 837, 21735, 506, 3207, 236789, 236751, 8459, 22327, 2907, 236829, 138, 108, 236778, 236761, 5213, 27447, 236772, 4674, 568, 16146, 900, 15007, 23855, 236786, 57310, 103994, 1473, 1018, 138, 107, 139, 71510, 3910, 2473, 506, 870, 23200, 74021, 6503, 236789, 236751, 22327, 236842, 735, 21202, 506, 2913, 529, 14942, 3756, 9952, 1133, 169386, 36563, 19212, 3245, 4556, 653, 506, 3415, 27596, 102408, 39412, 94582, 236881, 3574, 611, 1751, 1239, 4106, 22435, 1027, 32678, 529, 82610, 236858, 236751, 8459, 3068, 7462, 236829, 138, 108, 236800, 236761, 5213, 17667, 19566, 568, 117635, 607, 46963, 4472, 5179, 236764, 2338, 8001, 103994, 691, 6950, 1473, 1018, 138, 107, 139, 71510, 12846, 22426, 236858, 236751, 58732, 118791, 40360, 3541, 17110, 7088, 1133, 506, 62399, 2624, 11109, 236761, 1637, 611, 964, 531, 2619, 496, 13415, 28448, 1800, 82610, 236858, 236751, 4083, 532, 1061, 17861, 236764, 1217, 1093, 611, 27968, 113107, 237028, 30468, 236764, 528, 496, 31096, 13696, 684, 236743, 236770, 236819, 594, 236772, 33201, 23642, 653, 496, 4532, 26339, 580, 496, 13979, 5289, 236772, 1741, 13294, 7462, 236829, 138, 108, 7795, 2934, 28402, 580, 506, 3527, 236764, 72628, 4083, 236764, 4135, 236764, 532, 2263, 6540, 1131, 506, 18669, 236858, 236751, 22888, 236888, 236743, 247221, 248315, 247032, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 2487, 5904, 1186, 5862, 786, 531, 9279, 5415, 16281, 529, 4945, 236761, 21284, 611, 1133, 786, 531, 15128, 600, 18544, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 2487, 5904, 1186, 5862, 786, 531, 9279, 5415, 16281, 529, 4945, 236761, 21284, 611, 1133, 786, 531, 15128, 600, 18544, 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, 1586, 496, 163303, 5811, 225015, 35691, 532, 94653, 531, 4024, 607, 506, 3184, 31011, 564, 37171, 236761, 9187, 684, 19460, 506, 44356, 13956, 3929, 9299, 573, 7579, 5143, 607, 623, 619, 99282, 3056, 1637, 951, 2536, 35070, 236764, 2056, 623, 721, 30652, 831, 236775, 618, 614, 9302, 236761, 9920, 611, 29888, 7798, 9732, 236764, 33205, 910, 2587, 5618, 236764, 163303, 38320, 236764, 532, 2307, 8511, 1003, 73466, 96943, 236761, 22282, 77372, 7579, 699, 151318, 40956, 653, 136044, 236772, 47477, 28968, 2338, 1041, 44393, 507, 2765, 18024, 1239, 34123, 531, 1960, 8991, 236761, 1637, 506, 4068, 3927, 7623, 89144, 1262, 236764, 3137, 19276, 1343, 73694, 531, 5330, 692, 1586, 506, 1346, 32977, 5811, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71271, 1083, 78493, 1201, 1083, 623, 215337, 827, 623, 173919, 3535, 236779, 20205, 1083, 623, 34348, 1364, 236772, 47477, 827, 623, 2478, 236779, 86563, 1083, 11058, 94671, 1493, 506, 236743, 236770, 236778, 10201, 913, 618, 4306, 831, 573, 914, 7419, 236764, 2440, 204327, 506, 646, 7772, 508, 32569, 532, 12325, 506, 191388, 508, 124854, 827, 623, 4330, 7335, 15404, 77954, 14622, 684, 83974, 236764, 1015, 52695, 1515, 14255, 623, 30374, 1083, 11058, 38651, 827, 623, 619, 99282, 827, 623, 1192, 37461, 152254, 3714, 1201, 1083, 623, 236777, 903, 596, 827, 623, 173919, 3535, 236779, 20205, 1083, 623, 193818, 827, 623, 2478, 236779, 86563, 1083, 11058, 236823, 19808, 634, 529, 29101, 1015, 4728, 40474, 531, 1724, 60370, 13610, 15944, 827, 623, 23135, 5411, 52201, 1343, 13690, 532, 23556, 69114, 14255, 623, 30374, 1083, 11058, 619, 99282, 827, 623, 24938, 526, 827, 623, 780, 2027, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 5594, 236779, 5576, 1083, 2416, 236764, 623, 2305, 236779, 6061, 1083, 623, 619, 99282, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1156, 51687, 163303, 9732, 699, 506, 44356, 13956, 3929, 9299, 600, 1451, 30463, 822, 44393, 507, 236787, 108, 1018, 236770, 236761, 106080, 568, 34348, 1364, 236772, 47477, 62902, 138, 107, 236772, 5213, 3503, 33403, 66515, 138, 107, 138, 236772, 97888, 236743, 236770, 236778, 30043, 11449, 154234, 568, 236744, 236761, 236759, 1126, 204327, 506, 145851, 236764, 67896, 24996, 793, 605, 699, 506, 157318, 769, 138, 107, 138, 236772, 7178, 84169, 83974, 236858, 236751, 54584, 532, 15404, 77954, 236764, 15334, 23673, 29432, 60551, 236761, 138, 107, 236772, 5213, 17844, 67969, 66515, 169719, 522, 1343, 623, 184172, 236775, 9395, 568, 5282, 24968, 496, 26847, 236768, 1651, 15724, 6145, 236786, 38868, 8991, 236761, 108, 1018, 236778, 236761, 564, 903, 596, 568, 193818, 62902, 138, 107, 236772, 5213, 3503, 33403, 66515, 138, 107, 138, 236772, 91693, 1015, 5469, 40474, 531, 1724, 60370, 13610, 15944, 236764, 185799, 52201, 1343, 23556, 69114, 236761, 138, 107, 138, 236772, 146007, 78006, 568, 9524, 236786, 59274, 236764, 35691, 236786, 24938, 526, 779, 10299, 600, 35691, 6494, 7087, 3909, 12871, 236761, 138, 107, 236772, 5213, 17844, 67969, 66515, 10413, 93940, 13690, 35691, 1913, 8800, 653, 1494, 236772, 53801, 18567, 236764, 41346, 12609, 9886, 607, 58203, 236761, 108, 22186, 9732, 15128, 35691, 528, 1607, 4861, 237028, 215337, 1343, 5663, 532, 2604, 176185, 17783, 236764, 564, 903, 596, 1343, 13690, 159280, 236761, 21284, 611, 1133, 531, 11327, 4767, 7579, 1699, 623, 721, 30652, 831, 236775, 618, 496, 3927, 1941, 236764, 653, 30386, 19276, 1131, 1239, 1156, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1586, 496, 163303, 5811, 225015, 35691, 532, 94653, 531, 4024, 607, 506, 3184, 31011, 564, 37171, 236761, 9187, 684, 19460, 506, 44356, 13956, 3929, 9299, 573, 7579, 5143, 607, 623, 619, 99282, 3056, 1637, 951, 2536, 35070, 236764, 2056, 623, 721, 30652, 831, 236775, 618, 614, 9302, 236761, 9920, 611, 29888, 7798, 9732, 236764, 33205, 910, 2587, 5618, 236764, 163303, 38320, 236764, 532, 2307, 8511, 1003, 73466, 96943, 236761, 22282, 77372, 7579, 699, 151318, 40956, 653, 136044, 236772, 47477, 28968, 2338, 1041, 44393, 507, 2765, 18024, 1239, 34123, 531, 1960, 8991, 236761, 1637, 506, 4068, 3927, 7623, 89144, 1262, 236764, 3137, 19276, 1343, 73694, 531, 5330, 692, 1586, 506, 1346, 32977, 5811, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71271, 1083, 78493, 1201, 1083, 623, 215337, 827, 623, 173919, 3535, 236779, 20205, 1083, 623, 34348, 1364, 236772, 47477, 827, 623, 2478, 236779, 86563, 1083, 11058, 94671, 1493, 506, 236743, 236770, 236778, 10201, 913, 618, 4306, 831, 573, 914, 7419, 236764, 2440, 204327, 506, 646, 7772, 508, 32569, 532, 12325, 506, 191388, 508, 124854, 827, 623, 4330, 7335, 15404, 77954, 14622, 684, 83974, 236764, 1015, 52695, 1515, 14255, 623, 30374, 1083, 11058, 38651, 827, 623, 619, 99282, 827, 623, 1192, 37461, 152254, 3714, 1201, 1083, 623, 236777, 903, 596, 827, 623, 173919, 3535, 236779, 20205, 1083, 623, 193818, 827, 623, 2478, 236779, 86563, 1083, 11058, 236823, 19808, 634, 529, 29101, 1015, 4728, 40474, 531, 1724, 60370, 13610, 15944, 827, 623, 23135, 5411, 52201, 1343, 13690, 532, 23556, 69114, 14255, 623, 30374, 1083, 11058, 619, 99282, 827, 623, 24938, 526, 827, 623, 780, 2027, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 5594, 236779, 5576, 1083, 2416, 236764, 623, 2305, 236779, 6061, 1083, 623, 619, 99282, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1156, 51687, 163303, 9732, 699, 506, 44356, 13956, 3929, 9299, 600, 1451, 30463, 822, 44393, 507, 236787, 108, 1018, 236770, 236761, 106080, 568, 34348, 1364, 236772, 47477, 62902, 138, 107, 236772, 5213, 3503, 33403, 66515, 138, 107, 138, 236772, 97888, 236743, 236770, 236778, 30043, 11449, 154234, 568, 236744, 236761, 236759, 1126, 204327, 506, 145851, 236764, 67896, 24996, 793, 605, 699, 506, 157318, 769, 138, 107, 138, 236772, 7178, 84169, 83974, 236858, 236751, 54584, 532, 15404, 77954, 236764, 15334, 23673, 29432, 60551, 236761, 138, 107, 236772, 5213, 17844, 67969, 66515, 169719, 522, 1343, 623, 184172, 236775, 9395, 568, 5282, 24968, 496, 26847, 236768, 1651, 15724, 6145, 236786, 38868, 8991, 236761, 108, 1018, 236778, 236761, 564, 903, 596, 568, 193818, 62902, 138, 107, 236772, 5213, 3503, 33403, 66515, 138, 107, 138, 236772, 91693, 1015, 5469, 40474, 531, 1724, 60370, 13610, 15944, 236764, 185799, 52201, 1343, 23556, 69114, 236761, 138, 107, 138, 236772, 146007, 78006, 568, 9524, 236786, 59274, 236764, 35691, 236786, 24938, 526, 779, 10299, 600, 35691, 6494, 7087, 3909, 12871, 236761, 138, 107, 236772, 5213, 17844, 67969, 66515, 10413, 93940, 13690, 35691, 1913, 8800, 653, 1494, 236772, 53801, 18567, 236764, 41346, 12609, 9886, 607, 58203, 236761, 108, 22186, 9732, 15128, 35691, 528, 1607, 4861, 237028, 215337, 1343, 5663, 532, 2604, 176185, 17783, 236764, 564, 903, 596, 1343, 13690, 159280, 236761, 21284, 611, 1133, 531, 11327, 4767, 7579, 1699, 623, 721, 30652, 831, 236775, 618, 496, 3927, 1941, 236764, 653, 30386, 19276, 1131, 1239, 1156, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 35447, 496, 3399, 75693, 573, 1041, 861, 1908, 236772, 17341, 236764, 532, 564, 1202, 531, 4087, 1144, 18361, 659, 8009, 531, 910, 92017, 657, 1023, 3489, 4762, 236761, 3199, 611, 8091, 506, 6343, 1262, 573, 4762, 5853, 756, 31777, 39134, 46640, 12424, 236770, 236778, 236800, 103709, 564, 1461, 531, 1386, 2889, 692, 236789, 560, 2506, 3487, 2862, 580, 1724, 122116, 236772, 52728, 15028, 34332, 1331, 2765, 1271, 5017, 13633, 1082, 496, 27781, 55404, 236888, 106, 107, 105, 4368, 107, 818, 4762, 5853, 623, 31777, 39134, 46640, 12424, 236770, 236778, 236800, 236775, 7412, 531, 577, 496, 2483, 1550, 236764, 840, 506, 1458, 7087, 4762, 62606, 531, 577, 5213, 30558, 25630, 1018, 573, 9299, 6675, 236761, 28344, 611, 5091, 9128, 506, 4338, 40155, 4762, 5853, 573, 822, 57894, 11493, 13516, 236881, 1174, 795, 2174, 786, 531, 33205, 506, 6343, 1262, 532, 1601, 7020, 2862, 4535, 573, 822, 122116, 15028, 34332, 236761, 106, 107, 105, 2364, 107, 11947, 1788, 236764, 611, 236789, 500, 1447, 236888, 564, 2462, 6921, 872, 1724, 4762, 62606, 753, 1041, 4287, 236761, 669, 4338, 40155, 5853, 563, 5213, 236810, 236825, 236832, 236828, 84750, 564, 81660, 16658, 625, 580, 496, 31090, 5433, 1447, 2148, 531, 1041, 102016, 236789, 236751, 15689, 74547, 15028, 236761, 3199, 611, 2426, 600, 886, 5205, 236881, 564, 236789, 236753, 17554, 573, 18361, 531, 4305, 855, 580, 506, 34332, 1651, 564, 236789, 236757, 68132, 522, 1024, 108665, 573, 506, 75693, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 547, 1083, 236743, 236810, 236825, 236832, 236828, 236764, 623, 185491, 1083, 78493, 14307, 236779, 547, 1083, 623, 176888, 236770, 236778, 236800, 827, 623, 2364, 236779, 547, 1083, 623, 20791, 236832, 236828, 236819, 827, 623, 7633, 1083, 78493, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236770, 236764, 623, 22111, 1083, 236743, 236778, 236764, 623, 5930, 236779, 1201, 1083, 623, 34399, 57710, 558, 236772, 91703, 23179, 3714, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236778, 236764, 623, 22111, 1083, 236743, 236770, 236764, 623, 5930, 236779, 1201, 1083, 623, 59519, 211553, 15806, 568, 39977, 841, 236789, 236751, 52258, 16291, 104960, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 14307, 236779, 547, 1083, 623, 176888, 236812, 236810, 236825, 827, 623, 2364, 236779, 547, 1083, 623, 20791, 236770, 236771, 236770, 827, 623, 7633, 1083, 78493, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236800, 236764, 623, 22111, 1083, 236743, 236800, 236764, 623, 5930, 236779, 1201, 1083, 623, 147716, 236772, 83899, 1276, 41744, 19559, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 185491, 1083, 236743, 236778, 236764, 623, 6457, 236779, 99883, 1083, 623, 47158, 236786, 4199, 236779, 74093, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6343, 1262, 573, 4762, 5853, 236743, 236810, 236825, 236832, 236828, 568, 31777, 39134, 11493, 13516, 1473, 108, 1018, 14009, 565, 14865, 568, 236778, 2558, 1473, 1018, 107, 236770, 236761, 5213, 19560, 5853, 236787, 151995, 236770, 236778, 236800, 1018, 138, 107, 139, 236772, 76843, 236787, 138, 107, 141, 236772, 236743, 236778, 15666, 9642, 57710, 558, 236772, 228375, 138, 107, 141, 236772, 5213, 236770, 15666, 19862, 211553, 15806, 568, 39977, 841, 236789, 236751, 52258, 62902, 236743, 247659, 238178, 122116, 236772, 52728, 5689, 138, 107, 139, 236772, 11662, 10448, 236787, 236743, 236770, 236819, 2481, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236778, 236778, 28524, 138, 108, 236778, 236761, 5213, 19560, 5853, 236787, 151995, 236812, 236810, 236825, 1018, 138, 107, 139, 236772, 76843, 236787, 138, 107, 141, 236772, 236743, 236800, 15666, 43804, 236772, 83899, 1276, 41744, 94774, 138, 107, 139, 236772, 11662, 10448, 236787, 236743, 236770, 236819, 2481, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236770, 236810, 28524, 138, 108, 818, 19862, 211553, 15806, 563, 5633, 528, 236743, 236770, 5158, 6343, 236761, 21284, 611, 1133, 786, 531, 2426, 2862, 4535, 573, 1698, 5853, 236743, 236770, 236771, 236778, 6791, 59519, 211553, 15806, 1373, 531, 5330, 15830, 573, 672, 1900, 236881, 564, 740, 992, 1076, 872, 11734, 573, 672, 4188, 768, 4354, 236761, 106, 107, 105, 2364, 107, 12879, 573, 37636, 600, 4762, 5853, 6921, 236772, 1048, 236888, 4224, 600, 692, 236789, 560, 2506, 506, 19862, 211553, 15806, 528, 496, 6343, 236764, 1531, 236789, 236751, 1386, 2889, 692, 236789, 560, 3643, 2506, 625, 528, 2862, 236761, 3199, 611, 2426, 506, 2862, 4535, 573, 1698, 5853, 236743, 236770, 236771, 236778, 11297, 59519, 211553, 15806, 1606, 236881, 564, 1461, 531, 15246, 672, 55404, 6757, 910, 5689, 753, 5017, 12076, 18361, 3075, 1133, 1041, 102016, 236789, 236751, 6789, 31831, 1360, 7814, 1399, 6921, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236778, 236764, 623, 5930, 236779, 1201, 1083, 623, 59519, 211553, 15806, 827, 623, 14973, 236779, 5909, 1083, 236743, 236810, 236771, 236764, 623, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 140921, 236779, 7125, 1083, 623, 236776, 79097, 236743, 236800, 236764, 121621, 603, 25938, 106, 107, 105, 4368, 107, 11947, 4668, 236888, 669, 19862, 211553, 15806, 568, 5930, 5853, 236743, 236770, 236771, 236778, 236768, 563, 6340, 71039, 532, 5508, 531, 817, 236787, 108, 1018, 27320, 18365, 53121, 138, 107, 240732, 799, 13827, 138, 107, 1018, 8782, 13827, 16575, 53121, 236743, 236810, 236771, 6630, 138, 107, 1018, 149127, 21617, 53121, 562, 79097, 236743, 236800, 236764, 121621, 603, 138, 108, 818, 6343, 607, 5853, 151995, 236770, 236778, 236800, 1186, 815, 236743, 236770, 4360, 15633, 236764, 834, 692, 236789, 560, 2506, 11766, 529, 11345, 236888, 21284, 611, 1133, 786, 531, 2426, 1027, 1032, 3211, 653, 1076, 872, 496, 2862, 9690, 573, 672, 4188, 531, 1601, 9688, 822, 75693, 18241, 236881, 564, 236789, 236753, 17554, 573, 6533, 531, 4305, 855, 580, 600, 6789, 236772, 150673, 1360, 7814, 1399, 6921, 15236, 236888, 236743, 251283, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 35447, 496, 3399, 75693, 573, 1041, 861, 1908, 236772, 17341, 236764, 532, 564, 1202, 531, 4087, 1144, 18361, 659, 8009, 531, 910, 92017, 657, 1023, 3489, 4762, 236761, 3199, 611, 8091, 506, 6343, 1262, 573, 4762, 5853, 756, 31777, 39134, 46640, 12424, 236770, 236778, 236800, 103709, 564, 1461, 531, 1386, 2889, 692, 236789, 560, 2506, 3487, 2862, 580, 1724, 122116, 236772, 52728, 15028, 34332, 1331, 2765, 1271, 5017, 13633, 1082, 496, 27781, 55404, 236888, 106, 107, 105, 4368, 107, 818, 4762, 5853, 623, 31777, 39134, 46640, 12424, 236770, 236778, 236800, 236775, 7412, 531, 577, 496, 2483, 1550, 236764, 840, 506, 1458, 7087, 4762, 62606, 531, 577, 5213, 30558, 25630, 1018, 573, 9299, 6675, 236761, 28344, 611, 5091, 9128, 506, 4338, 40155, 4762, 5853, 573, 822, 57894, 11493, 13516, 236881, 1174, 795, 2174, 786, 531, 33205, 506, 6343, 1262, 532, 1601, 7020, 2862, 4535, 573, 822, 122116, 15028, 34332, 236761, 106, 107, 105, 2364, 107, 11947, 1788, 236764, 611, 236789, 500, 1447, 236888, 564, 2462, 6921, 872, 1724, 4762, 62606, 753, 1041, 4287, 236761, 669, 4338, 40155, 5853, 563, 5213, 236810, 236825, 236832, 236828, 84750, 564, 81660, 16658, 625, 580, 496, 31090, 5433, 1447, 2148, 531, 1041, 102016, 236789, 236751, 15689, 74547, 15028, 236761, 3199, 611, 2426, 600, 886, 5205, 236881, 564, 236789, 236753, 17554, 573, 18361, 531, 4305, 855, 580, 506, 34332, 1651, 564, 236789, 236757, 68132, 522, 1024, 108665, 573, 506, 75693, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 547, 1083, 236743, 236810, 236825, 236832, 236828, 236764, 623, 185491, 1083, 78493, 14307, 236779, 547, 1083, 623, 176888, 236770, 236778, 236800, 827, 623, 2364, 236779, 547, 1083, 623, 20791, 236832, 236828, 236819, 827, 623, 7633, 1083, 78493, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236770, 236764, 623, 22111, 1083, 236743, 236778, 236764, 623, 5930, 236779, 1201, 1083, 623, 34399, 57710, 558, 236772, 91703, 23179, 3714, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236778, 236764, 623, 22111, 1083, 236743, 236770, 236764, 623, 5930, 236779, 1201, 1083, 623, 59519, 211553, 15806, 568, 39977, 841, 236789, 236751, 52258, 16291, 104960, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 14307, 236779, 547, 1083, 623, 176888, 236812, 236810, 236825, 827, 623, 2364, 236779, 547, 1083, 623, 20791, 236770, 236771, 236770, 827, 623, 7633, 1083, 78493, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236800, 236764, 623, 22111, 1083, 236743, 236800, 236764, 623, 5930, 236779, 1201, 1083, 623, 147716, 236772, 83899, 1276, 41744, 19559, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 185491, 1083, 236743, 236778, 236764, 623, 6457, 236779, 99883, 1083, 623, 47158, 236786, 4199, 236779, 74093, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6343, 1262, 573, 4762, 5853, 236743, 236810, 236825, 236832, 236828, 568, 31777, 39134, 11493, 13516, 1473, 108, 1018, 14009, 565, 14865, 568, 236778, 2558, 1473, 1018, 107, 236770, 236761, 5213, 19560, 5853, 236787, 151995, 236770, 236778, 236800, 1018, 138, 107, 139, 236772, 76843, 236787, 138, 107, 141, 236772, 236743, 236778, 15666, 9642, 57710, 558, 236772, 228375, 138, 107, 141, 236772, 5213, 236770, 15666, 19862, 211553, 15806, 568, 39977, 841, 236789, 236751, 52258, 62902, 236743, 247659, 238178, 122116, 236772, 52728, 5689, 138, 107, 139, 236772, 11662, 10448, 236787, 236743, 236770, 236819, 2481, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236778, 236778, 28524, 138, 108, 236778, 236761, 5213, 19560, 5853, 236787, 151995, 236812, 236810, 236825, 1018, 138, 107, 139, 236772, 76843, 236787, 138, 107, 141, 236772, 236743, 236800, 15666, 43804, 236772, 83899, 1276, 41744, 94774, 138, 107, 139, 236772, 11662, 10448, 236787, 236743, 236770, 236819, 2481, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236770, 236810, 28524, 138, 108, 818, 19862, 211553, 15806, 563, 5633, 528, 236743, 236770, 5158, 6343, 236761, 21284, 611, 1133, 786, 531, 2426, 2862, 4535, 573, 1698, 5853, 236743, 236770, 236771, 236778, 6791, 59519, 211553, 15806, 1373, 531, 5330, 15830, 573, 672, 1900, 236881, 564, 740, 992, 1076, 872, 11734, 573, 672, 4188, 768, 4354, 236761, 106, 107, 105, 2364, 107, 12879, 573, 37636, 600, 4762, 5853, 6921, 236772, 1048, 236888, 4224, 600, 692, 236789, 560, 2506, 506, 19862, 211553, 15806, 528, 496, 6343, 236764, 1531, 236789, 236751, 1386, 2889, 692, 236789, 560, 3643, 2506, 625, 528, 2862, 236761, 3199, 611, 2426, 506, 2862, 4535, 573, 1698, 5853, 236743, 236770, 236771, 236778, 11297, 59519, 211553, 15806, 1606, 236881, 564, 1461, 531, 15246, 672, 55404, 6757, 910, 5689, 753, 5017, 12076, 18361, 3075, 1133, 1041, 102016, 236789, 236751, 6789, 31831, 1360, 7814, 1399, 6921, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 236743, 236770, 236771, 236778, 236764, 623, 5930, 236779, 1201, 1083, 623, 59519, 211553, 15806, 827, 623, 14973, 236779, 5909, 1083, 236743, 236810, 236771, 236764, 623, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 140921, 236779, 7125, 1083, 623, 236776, 79097, 236743, 236800, 236764, 121621, 603, 25938, 106, 107, 105, 4368, 107, 11947, 4668, 236888, 669, 19862, 211553, 15806, 568, 5930, 5853, 236743, 236770, 236771, 236778, 236768, 563, 6340, 71039, 532, 5508, 531, 817, 236787, 108, 1018, 27320, 18365, 53121, 138, 107, 240732, 799, 13827, 138, 107, 1018, 8782, 13827, 16575, 53121, 236743, 236810, 236771, 6630, 138, 107, 1018, 149127, 21617, 53121, 562, 79097, 236743, 236800, 236764, 121621, 603, 138, 108, 818, 6343, 607, 5853, 151995, 236770, 236778, 236800, 1186, 815, 236743, 236770, 4360, 15633, 236764, 834, 692, 236789, 560, 2506, 11766, 529, 11345, 236888, 21284, 611, 1133, 786, 531, 2426, 1027, 1032, 3211, 653, 1076, 872, 496, 2862, 9690, 573, 672, 4188, 531, 1601, 9688, 822, 75693, 18241, 236881, 564, 236789, 236753, 17554, 573, 6533, 531, 4305, 855, 580, 600, 6789, 236772, 150673, 1360, 7814, 1399, 6921, 15236, 236888, 236743, 251283, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 181238, 532, 42240, 2148, 1051, 532, 1461, 531, 5571, 2263, 20720, 236761, 5315, 236764, 740, 611, 2426, 53853, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 1237, 20720, 236881, 4298, 236764, 776, 506, 1638, 573, 14478, 236761, 4210, 600, 236764, 7463, 692, 740, 4071, 236772, 30449, 506, 14069, 531, 1586, 506, 1791, 4301, 11665, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2153, 236779, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 35896, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236770, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 36475, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 63651, 6156, 827, 623, 2084, 1083, 623, 35896, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 4036, 2118, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 4036, 2118, 36475, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236828, 827, 623, 1201, 1083, 623, 219550, 6156, 827, 623, 2084, 1083, 623, 35896, 25938, 1604, 623, 14210, 1083, 623, 137835, 10940, 14069, 1149, 9729, 684, 236743, 236770, 1719, 2721, 580, 63829, 129762, 236761, 7179, 2263, 12496, 12532, 531, 4301, 14069, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 107566, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 5805, 17109, 1083, 78493, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 48308, 1799, 8799, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236771, 23179, 3714, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 23179, 3714, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 36475, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 78824, 3102, 529, 9699, 3351, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236819, 23179, 3714, 1201, 1083, 623, 137955, 2118, 236789, 236751, 41643, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236825, 23179, 3714, 1201, 1083, 623, 219550, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236832, 23179, 3714, 1201, 1083, 623, 189809, 516, 1043, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236832, 23179, 3714, 1201, 1083, 623, 35966, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 4071, 236772, 30449, 529, 53853, 568, 4868, 236768, 532, 14478, 568, 1735, 236768, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 8701, 12567, 4301, 11665, 236787, 108, 1018, 4330, 188536, 36475, 77151, 53121, 107, 236772, 236743, 251481, 4179, 236743, 236770, 236787, 1799, 8799, 236789, 236751, 6156, 568, 27413, 4808, 236768, 107, 236772, 236743, 251481, 26953, 236743, 236770, 236771, 236772, 236770, 236770, 236787, 94410, 610, 236772, 31103, 236750, 568, 27413, 4808, 236768, 107, 236772, 236743, 251481, 3353, 236743, 236770, 236787, 11712, 6156, 568, 27413, 4808, 236768, 108, 1018, 27969, 236772, 46163, 84085, 53121, 107, 236772, 5213, 27505, 28232, 10522, 66515, 236743, 107, 138, 236772, 13067, 236743, 236770, 236832, 236772, 236770, 236828, 236787, 94410, 610, 236772, 4036, 2118, 107, 138, 236772, 8934, 236743, 236770, 236828, 236787, 44506, 6156, 107, 236772, 5213, 107566, 10522, 66515, 107, 138, 236772, 5656, 236743, 236770, 236771, 236787, 8555, 1799, 8799, 107, 138, 236772, 3353, 236743, 236819, 236787, 163047, 529, 9699, 3351, 107, 138, 236772, 3353, 236743, 236778, 236825, 236787, 48615, 236789, 236751, 41643, 107, 138, 236772, 11291, 236743, 236832, 236787, 71785, 516, 1043, 107, 138, 236772, 4655, 236743, 236770, 236832, 236787, 44506, 6156, 107, 138, 236772, 3901, 236743, 236778, 236810, 236787, 8226, 108, 1018, 17043, 17172, 7993, 53121, 107, 236770, 236761, 5213, 27393, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 254379, 568, 3771, 20720, 528, 3477, 2891, 236768, 107, 236778, 236761, 5213, 36022, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 254379, 568, 3771, 20720, 528, 3477, 2891, 236768, 107, 236800, 236761, 5213, 36817, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 254379, 568, 3771, 20720, 528, 3477, 2891, 236768, 107, 236812, 236761, 5213, 37207, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 478, 397, 397, 406, 568, 77499, 5656, 236743, 236770, 236771, 528, 14478, 236793, 53853, 815, 951, 20720, 236768, 107, 236810, 236761, 5213, 12055, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 478, 397, 397, 406, 568, 77499, 3353, 236743, 236770, 236764, 236743, 236819, 236764, 236743, 236778, 236825, 236793, 14478, 236772, 15396, 20720, 236768, 107, 236825, 236761, 5213, 30211, 236772, 30902, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 478, 397, 397, 406, 568, 77499, 11291, 236743, 236832, 532, 4655, 236743, 236770, 236832, 528, 14478, 236793, 53853, 2196, 236768, 108, 1018, 10282, 53121, 25680, 20720, 568, 234797, 236764, 71785, 516, 1043, 236768, 1149, 9729, 684, 236743, 236770, 1719, 2721, 580, 63829, 129762, 236761, 14066, 31983, 5213, 30651, 236743, 236819, 236772, 236770, 236778, 1018, 532, 5213, 27403, 236743, 236770, 236825, 236772, 236770, 236819, 1018, 528, 53853, 618, 11345, 13443, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 181238, 532, 42240, 2148, 1051, 532, 1461, 531, 5571, 2263, 20720, 236761, 5315, 236764, 740, 611, 2426, 53853, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 1237, 20720, 236881, 4298, 236764, 776, 506, 1638, 573, 14478, 236761, 4210, 600, 236764, 7463, 692, 740, 4071, 236772, 30449, 506, 14069, 531, 1586, 506, 1791, 4301, 11665, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2153, 236779, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 35896, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236770, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 36475, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 63651, 6156, 827, 623, 2084, 1083, 623, 35896, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 4036, 2118, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 1201, 1083, 623, 234797, 610, 236772, 4036, 2118, 36475, 827, 623, 2084, 1083, 623, 33817, 831, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236828, 827, 623, 1201, 1083, 623, 219550, 6156, 827, 623, 2084, 1083, 623, 35896, 25938, 1604, 623, 14210, 1083, 623, 137835, 10940, 14069, 1149, 9729, 684, 236743, 236770, 1719, 2721, 580, 63829, 129762, 236761, 7179, 2263, 12496, 12532, 531, 4301, 14069, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 107566, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 5805, 17109, 1083, 78493, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 48308, 1799, 8799, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236771, 23179, 3714, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 23179, 3714, 1201, 1083, 623, 234797, 610, 236772, 31103, 236750, 36475, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 78824, 3102, 529, 9699, 3351, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236819, 23179, 3714, 1201, 1083, 623, 137955, 2118, 236789, 236751, 41643, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236825, 23179, 3714, 1201, 1083, 623, 219550, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236832, 23179, 3714, 1201, 1083, 623, 189809, 516, 1043, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236832, 23179, 3714, 1201, 1083, 623, 35966, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 4071, 236772, 30449, 529, 53853, 568, 4868, 236768, 532, 14478, 568, 1735, 236768, 1237, 20720, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 8701, 12567, 4301, 11665, 236787, 108, 1018, 4330, 188536, 36475, 77151, 53121, 107, 236772, 236743, 251481, 4179, 236743, 236770, 236787, 1799, 8799, 236789, 236751, 6156, 568, 27413, 4808, 236768, 107, 236772, 236743, 251481, 26953, 236743, 236770, 236771, 236772, 236770, 236770, 236787, 94410, 610, 236772, 31103, 236750, 568, 27413, 4808, 236768, 107, 236772, 236743, 251481, 3353, 236743, 236770, 236787, 11712, 6156, 568, 27413, 4808, 236768, 108, 1018, 27969, 236772, 46163, 84085, 53121, 107, 236772, 5213, 27505, 28232, 10522, 66515, 236743, 107, 138, 236772, 13067, 236743, 236770, 236832, 236772, 236770, 236828, 236787, 94410, 610, 236772, 4036, 2118, 107, 138, 236772, 8934, 236743, 236770, 236828, 236787, 44506, 6156, 107, 236772, 5213, 107566, 10522, 66515, 107, 138, 236772, 5656, 236743, 236770, 236771, 236787, 8555, 1799, 8799, 107, 138, 236772, 3353, 236743, 236819, 236787, 163047, 529, 9699, 3351, 107, 138, 236772, 3353, 236743, 236778, 236825, 236787, 48615, 236789, 236751, 41643, 107, 138, 236772, 11291, 236743, 236832, 236787, 71785, 516, 1043, 107, 138, 236772, 4655, 236743, 236770, 236832, 236787, 44506, 6156, 107, 138, 236772, 3901, 236743, 236778, 236810, 236787, 8226, 108, 1018, 17043, 17172, 7993, 53121, 107, 236770, 236761, 5213, 27393, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 254379, 568, 3771, 20720, 528, 3477, 2891, 236768, 107, 236778, 236761, 5213, 36022, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 254379, 568, 3771, 20720, 528, 3477, 2891, 236768, 107, 236800, 236761, 5213, 36817, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 254379, 568, 3771, 20720, 528, 3477, 2891, 236768, 107, 236812, 236761, 5213, 37207, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 478, 397, 397, 406, 568, 77499, 5656, 236743, 236770, 236771, 528, 14478, 236793, 53853, 815, 951, 20720, 236768, 107, 236810, 236761, 5213, 12055, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 478, 397, 397, 406, 568, 77499, 3353, 236743, 236770, 236764, 236743, 236819, 236764, 236743, 236778, 236825, 236793, 14478, 236772, 15396, 20720, 236768, 107, 236825, 236761, 5213, 30211, 236772, 30902, 236743, 236778, 236771, 236778, 236812, 1018, 236743, 478, 397, 397, 406, 568, 77499, 11291, 236743, 236832, 532, 4655, 236743, 236770, 236832, 528, 14478, 236793, 53853, 2196, 236768, 108, 1018, 10282, 53121, 25680, 20720, 568, 234797, 236764, 71785, 516, 1043, 236768, 1149, 9729, 684, 236743, 236770, 1719, 2721, 580, 63829, 129762, 236761, 14066, 31983, 5213, 30651, 236743, 236819, 236772, 236770, 236778, 1018, 532, 5213, 27403, 236743, 236770, 236825, 236772, 236770, 236819, 1018, 528, 53853, 618, 11345, 13443, 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, 2268, 1610, 11682, 18669, 528, 30215, 236746, 532, 1202, 531, 1586, 496, 2263, 7075, 607, 1610, 14767, 236761, 28344, 611, 1171, 2426, 506, 20058, 3393, 573, 30215, 236746, 236764, 63346, 236881, 564, 1751, 625, 236789, 236751, 236743, 236812, 236771, 236812, 236771, 236800, 840, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 236761, 4298, 236764, 3622, 692, 735, 506, 20058, 3393, 236764, 564, 236789, 859, 1202, 531, 1586, 1610, 6429, 11936, 2351, 600, 2433, 237028, 60766, 1699, 600, 20058, 3393, 618, 496, 5957, 573, 506, 4762, 3927, 236761, 564, 236789, 236757, 496, 3103, 129918, 580, 53842, 236764, 834, 564, 236789, 236753, 2126, 14756, 822, 1601, 607, 506, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 236799, 37393, 827, 623, 3255, 1083, 623, 38354, 827, 623, 15905, 236779, 38548, 1083, 11058, 236812, 236771, 236812, 236771, 236800, 827, 623, 236812, 236771, 236812, 236771, 236812, 99471, 106, 107, 105, 4368, 107, 818, 20058, 3393, 573, 30215, 236746, 236764, 63346, 563, 5213, 236812, 236771, 236812, 236771, 236800, 1018, 532, 5213, 236812, 236771, 236812, 236771, 236812, 84750, 3153, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 3927, 573, 2263, 1610, 6429, 11936, 684, 20058, 3393, 236761, 669, 2487, 6436, 1537, 236789, 236745, 3204, 496, 1960, 236786, 7125, 3927, 9299, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 7179, 768, 1491, 1110, 585, 568, 8777, 5853, 236743, 236770, 236768, 815, 1610, 6429, 13965, 2487, 3489, 236881, 138, 107, 236778, 236761, 29020, 573, 65977, 580, 3363, 611, 236789, 236753, 5278, 3489, 30686, 5205, 529, 5663, 11936, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 19058, 236764, 1531, 236789, 236751, 817, 607, 1491, 1110, 585, 1299, 236761, 20103, 5853, 236743, 236770, 573, 506, 1689, 1491, 1110, 585, 4762, 237028, 4017, 1202, 531, 1386, 2889, 625, 815, 1610, 14767, 1133, 191884, 532, 21256, 172241, 236761, 564, 236789, 859, 5210, 822, 11179, 580, 506, 13965, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8777, 547, 1083, 236743, 236770, 236764, 623, 72726, 1083, 11058, 98808, 827, 623, 184332, 827, 623, 1505, 3929, 827, 623, 236791, 8931, 827, 623, 1479, 130641, 827, 623, 236847, 743, 827, 623, 4199, 31814, 827, 623, 2371, 21795, 14255, 623, 6725, 236779, 72726, 1083, 236743, 236828, 236783, 106, 107, 105, 4368, 107, 236953, 1110, 585, 568, 8777, 5853, 236743, 236770, 236768, 13336, 23076, 5213, 7569, 17634, 532, 53981, 13965, 1018, 1133, 39648, 236764, 105404, 236764, 176696, 236764, 532, 194856, 2192, 7293, 529, 837, 659, 1610, 6429, 13965, 236761, 669, 1694, 3847, 1677, 5213, 2217, 3204, 1018, 31633, 7093, 236764, 21256, 172241, 236764, 653, 1032, 1610, 5417, 236761, 236743, 108, 10081, 1491, 1110, 585, 4038, 236858, 236745, 2862, 1610, 14767, 236764, 1590, 659, 822, 3835, 236787, 107, 236770, 236761, 5213, 27455, 236743, 236825, 3840, 568, 8777, 5853, 236743, 236778, 62902, 236787, 1030, 236858, 236751, 496, 12198, 3432, 531, 1491, 1110, 585, 840, 992, 21132, 580, 53981, 236761, 138, 107, 236778, 236761, 5213, 6845, 37358, 1610, 30686, 66515, 9929, 75182, 4585, 26810, 236764, 131802, 236764, 653, 2263, 17320, 568, 3480, 564, 740, 236858, 236745, 3927, 573, 1239, 5467, 769, 138, 107, 236800, 236761, 5213, 66649, 822, 3927, 66515, 6890, 496, 1607, 5904, 653, 5058, 568, 236744, 236761, 236759, 1126, 6475, 39247, 573, 623, 661, 6429, 11936, 30215, 236746, 63346, 4248, 138, 108, 38786, 611, 1133, 786, 531, 2056, 3432, 5853, 236743, 236778, 568, 236825, 3840, 236768, 653, 3600, 2264, 4313, 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 ]
[ 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, 2268, 1610, 11682, 18669, 528, 30215, 236746, 532, 1202, 531, 1586, 496, 2263, 7075, 607, 1610, 14767, 236761, 28344, 611, 1171, 2426, 506, 20058, 3393, 573, 30215, 236746, 236764, 63346, 236881, 564, 1751, 625, 236789, 236751, 236743, 236812, 236771, 236812, 236771, 236800, 840, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 236761, 4298, 236764, 3622, 692, 735, 506, 20058, 3393, 236764, 564, 236789, 859, 1202, 531, 1586, 1610, 6429, 11936, 2351, 600, 2433, 237028, 60766, 1699, 600, 20058, 3393, 618, 496, 5957, 573, 506, 4762, 3927, 236761, 564, 236789, 236757, 496, 3103, 129918, 580, 53842, 236764, 834, 564, 236789, 236753, 2126, 14756, 822, 1601, 607, 506, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 236799, 37393, 827, 623, 3255, 1083, 623, 38354, 827, 623, 15905, 236779, 38548, 1083, 11058, 236812, 236771, 236812, 236771, 236800, 827, 623, 236812, 236771, 236812, 236771, 236812, 99471, 106, 107, 105, 4368, 107, 818, 20058, 3393, 573, 30215, 236746, 236764, 63346, 563, 5213, 236812, 236771, 236812, 236771, 236800, 1018, 532, 5213, 236812, 236771, 236812, 236771, 236812, 84750, 3153, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 3927, 573, 2263, 1610, 6429, 11936, 684, 20058, 3393, 236761, 669, 2487, 6436, 1537, 236789, 236745, 3204, 496, 1960, 236786, 7125, 3927, 9299, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 7179, 768, 1491, 1110, 585, 568, 8777, 5853, 236743, 236770, 236768, 815, 1610, 6429, 13965, 2487, 3489, 236881, 138, 107, 236778, 236761, 29020, 573, 65977, 580, 3363, 611, 236789, 236753, 5278, 3489, 30686, 5205, 529, 5663, 11936, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 19058, 236764, 1531, 236789, 236751, 817, 607, 1491, 1110, 585, 1299, 236761, 20103, 5853, 236743, 236770, 573, 506, 1689, 1491, 1110, 585, 4762, 237028, 4017, 1202, 531, 1386, 2889, 625, 815, 1610, 14767, 1133, 191884, 532, 21256, 172241, 236761, 564, 236789, 859, 5210, 822, 11179, 580, 506, 13965, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8777, 547, 1083, 236743, 236770, 236764, 623, 72726, 1083, 11058, 98808, 827, 623, 184332, 827, 623, 1505, 3929, 827, 623, 236791, 8931, 827, 623, 1479, 130641, 827, 623, 236847, 743, 827, 623, 4199, 31814, 827, 623, 2371, 21795, 14255, 623, 6725, 236779, 72726, 1083, 236743, 236828, 236783, 106, 107, 105, 4368, 107, 236953, 1110, 585, 568, 8777, 5853, 236743, 236770, 236768, 13336, 23076, 5213, 7569, 17634, 532, 53981, 13965, 1018, 1133, 39648, 236764, 105404, 236764, 176696, 236764, 532, 194856, 2192, 7293, 529, 837, 659, 1610, 6429, 13965, 236761, 669, 1694, 3847, 1677, 5213, 2217, 3204, 1018, 31633, 7093, 236764, 21256, 172241, 236764, 653, 1032, 1610, 5417, 236761, 236743, 108, 10081, 1491, 1110, 585, 4038, 236858, 236745, 2862, 1610, 14767, 236764, 1590, 659, 822, 3835, 236787, 107, 236770, 236761, 5213, 27455, 236743, 236825, 3840, 568, 8777, 5853, 236743, 236778, 62902, 236787, 1030, 236858, 236751, 496, 12198, 3432, 531, 1491, 1110, 585, 840, 992, 21132, 580, 53981, 236761, 138, 107, 236778, 236761, 5213, 6845, 37358, 1610, 30686, 66515, 9929, 75182, 4585, 26810, 236764, 131802, 236764, 653, 2263, 17320, 568, 3480, 564, 740, 236858, 236745, 3927, 573, 1239, 5467, 769, 138, 107, 236800, 236761, 5213, 66649, 822, 3927, 66515, 6890, 496, 1607, 5904, 653, 5058, 568, 236744, 236761, 236759, 1126, 6475, 39247, 573, 623, 661, 6429, 11936, 30215, 236746, 63346, 4248, 138, 108, 38786, 611, 1133, 786, 531, 2056, 3432, 5853, 236743, 236778, 568, 236825, 3840, 236768, 653, 3600, 2264, 4313, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1586, 496, 40718, 14049, 8319, 4596, 531, 14105, 19292, 236764, 10916, 228017, 77472, 236764, 531, 6154, 573, 614, 16038, 2197, 91624, 236761, 5315, 236764, 3927, 573, 60194, 8991, 1699, 506, 30136, 623, 5503, 164457, 77472, 3056, 4298, 236764, 18840, 506, 1903, 236743, 236800, 8991, 684, 16329, 910, 15154, 19455, 532, 32571, 8968, 236761, 13472, 236764, 33205, 506, 2430, 20183, 529, 506, 8319, 44100, 531, 1460, 768, 901, 236789, 500, 5158, 528, 506, 14105, 14049, 3399, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 173051, 1083, 78493, 65083, 236779, 547, 1083, 623, 66308, 236780, 236772, 236812, 236828, 236778, 236819, 236770, 827, 623, 1201, 1083, 13659, 4573, 164457, 206626, 66733, 827, 623, 76562, 1083, 623, 60891, 71087, 933, 236799, 3705, 827, 623, 6725, 236779, 40232, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 236764, 623, 83168, 236779, 56652, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236771, 236764, 623, 43852, 236779, 26329, 1083, 11058, 236874, 236785, 236756, 236778, 236771, 236770, 236819, 712, 1041, 77472, 3588, 855, 4011, 1699, 1392, 60891, 71087, 933, 236799, 3705, 15028, 41218, 623, 39977, 841, 2760, 672, 506, 1791, 1304, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 3472, 2338, 1116, 236743, 236770, 236819, 236832, 236778, 15028, 14779, 3345, 621, 689, 236828, 236800, 236744, 236785, 9646, 236778, 236819, 14255, 623, 76562, 236779, 13330, 1083, 3714, 11668, 1083, 623, 60891, 71087, 933, 236799, 3705, 827, 623, 76647, 1083, 236743, 236828, 236812, 236778, 236771, 236771, 236771, 236764, 623, 37939, 236779, 13692, 1083, 3714, 193166, 236779, 135887, 236779, 4043, 236779, 29552, 28268, 1083, 236743, 236770, 236778, 236764, 623, 43852, 236779, 22487, 236779, 721, 236779, 14808, 1083, 236743, 236810, 236764, 623, 87622, 1083, 1847, 112679, 3714, 65083, 236779, 547, 1083, 623, 66308, 236780, 236772, 236800, 236832, 236812, 236771, 236778, 827, 623, 1201, 1083, 13659, 18030, 206626, 141710, 827, 623, 76562, 1083, 623, 206626, 42278, 69851, 827, 623, 6725, 236779, 40232, 1083, 236743, 236828, 236770, 236778, 236800, 236764, 623, 83168, 236779, 56652, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 236771, 236764, 623, 43852, 236779, 26329, 1083, 11058, 8824, 63974, 531, 12580, 18763, 1308, 9333, 1392, 206626, 42278, 69851, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 26628, 621, 236756, 236778, 236771, 236770, 236800, 2290, 57393, 41218, 623, 10936, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 506, 2765, 573, 7266, 77472, 236881, 621, 689, 236828, 236800, 236744, 236785, 9646, 236832, 236746, 997, 4348, 11896, 2542, 122707, 22925, 79179, 14255, 623, 76562, 236779, 13330, 1083, 3714, 11668, 1083, 623, 206626, 42278, 69851, 827, 623, 76647, 1083, 236743, 236800, 236770, 236778, 236771, 236771, 236771, 236764, 623, 37939, 236779, 13692, 1083, 3714, 193166, 236779, 135887, 236779, 4043, 236779, 29552, 28268, 1083, 236743, 236828, 236764, 623, 43852, 236779, 22487, 236779, 721, 236779, 14808, 1083, 236743, 236800, 236764, 623, 87622, 1083, 2416, 112679, 3714, 65083, 236779, 547, 1083, 623, 66308, 236780, 236772, 236810, 236819, 236800, 236778, 236828, 827, 623, 1201, 1083, 13659, 4573, 164457, 236799, 873, 8565, 827, 623, 76562, 1083, 623, 212016, 703, 100399, 12689, 5211, 827, 623, 6725, 236779, 40232, 1083, 236743, 236810, 236825, 236770, 236832, 236764, 623, 83168, 236779, 56652, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 236764, 623, 43852, 236779, 26329, 1083, 11058, 33593, 672, 8319, 531, 3786, 1041, 8709, 87097, 236772, 15992, 621, 236756, 236778, 236771, 236770, 236800, 834, 2317, 41218, 623, 193850, 54737, 37146, 68303, 659, 1492, 496, 2523, 14385, 8863, 531, 672, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236825, 236746, 14255, 623, 76562, 236779, 13330, 1083, 3714, 11668, 1083, 623, 212016, 703, 100399, 12689, 5211, 827, 623, 76647, 1083, 236743, 236770, 236819, 236828, 236771, 236771, 236771, 236764, 623, 37939, 236779, 13692, 1083, 3714, 193166, 236779, 135887, 236779, 4043, 236779, 29552, 28268, 1083, 236743, 236770, 236810, 236764, 623, 43852, 236779, 22487, 236779, 721, 236779, 14808, 1083, 236743, 236812, 236764, 623, 87622, 1083, 1847, 1807, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 1903, 236743, 236800, 228017, 87097, 8991, 236787, 108, 236770, 236761, 5213, 236865, 4573, 164457, 206626, 66733, 1018, 138, 107, 139, 236772, 5213, 227187, 66515, 236743, 236770, 236778, 236764, 236832, 236812, 236800, 10103, 1109, 236743, 236778, 236828, 236810, 236767, 15975, 138, 107, 139, 236772, 5213, 24967, 66515, 4819, 34194, 6791, 39977, 841, 236789, 236751, 236743, 236770, 236819, 236832, 236778, 15028, 14779, 3345, 236775, 9960, 236768, 138, 107, 139, 236772, 5213, 82917, 66515, 1392, 60891, 71087, 933, 236799, 3705, 568, 236828, 236812, 236778, 236767, 23073, 236764, 236743, 236770, 236778, 14105, 14049, 2299, 102648, 236764, 27662, 236768, 138, 108, 236778, 236761, 5213, 236865, 18030, 206626, 141710, 1018, 138, 107, 139, 236772, 5213, 227187, 66515, 236743, 236828, 236764, 236770, 236778, 236800, 10103, 1109, 236743, 236770, 236812, 236778, 236767, 15975, 138, 107, 139, 236772, 5213, 24967, 66515, 22202, 11221, 7659, 6791, 37657, 18763, 26628, 1373, 138, 107, 139, 236772, 5213, 82917, 66515, 1392, 206626, 42278, 69851, 568, 236800, 236770, 236778, 236767, 23073, 236764, 236743, 236828, 14105, 4402, 236764, 711, 27662, 236768, 138, 108, 236800, 236761, 5213, 236865, 4573, 164457, 236799, 873, 8565, 1018, 138, 107, 139, 236772, 5213, 227187, 66515, 236743, 236810, 236764, 236825, 236770, 236832, 10103, 1109, 236743, 236819, 236828, 236767, 15975, 138, 107, 139, 236772, 5213, 24967, 66515, 12831, 236772, 18865, 3213, 6791, 166902, 1041, 8709, 1373, 138, 107, 139, 236772, 5213, 82917, 66515, 1392, 212016, 703, 100399, 12689, 5211, 568, 236770, 236819, 236828, 236767, 23073, 236764, 5213, 236770, 236810, 14105, 4402, 125546, 27662, 236768, 138, 108, 1018, 211199, 66515, 138, 107, 818, 5213, 236865, 4573, 164457, 206626, 66733, 1018, 815, 506, 7310, 15154, 532, 496, 6112, 5158, 33797, 607, 506, 1346, 14105, 14049, 2299, 126853, 236761, 669, 33797, 236789, 236751, 28250, 33269, 532, 17597, 25035, 568, 236810, 236781, 236786, 14808, 236768, 992, 3600, 21016, 573, 496, 2197, 91624, 2460, 236761, 138, 108, 38786, 611, 1133, 531, 6154, 672, 8319, 653, 1202, 1601, 8159, 506, 1519, 236772, 1048, 4889, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1586, 496, 40718, 14049, 8319, 4596, 531, 14105, 19292, 236764, 10916, 228017, 77472, 236764, 531, 6154, 573, 614, 16038, 2197, 91624, 236761, 5315, 236764, 3927, 573, 60194, 8991, 1699, 506, 30136, 623, 5503, 164457, 77472, 3056, 4298, 236764, 18840, 506, 1903, 236743, 236800, 8991, 684, 16329, 910, 15154, 19455, 532, 32571, 8968, 236761, 13472, 236764, 33205, 506, 2430, 20183, 529, 506, 8319, 44100, 531, 1460, 768, 901, 236789, 500, 5158, 528, 506, 14105, 14049, 3399, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 173051, 1083, 78493, 65083, 236779, 547, 1083, 623, 66308, 236780, 236772, 236812, 236828, 236778, 236819, 236770, 827, 623, 1201, 1083, 13659, 4573, 164457, 206626, 66733, 827, 623, 76562, 1083, 623, 60891, 71087, 933, 236799, 3705, 827, 623, 6725, 236779, 40232, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 236764, 623, 83168, 236779, 56652, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236771, 236764, 623, 43852, 236779, 26329, 1083, 11058, 236874, 236785, 236756, 236778, 236771, 236770, 236819, 712, 1041, 77472, 3588, 855, 4011, 1699, 1392, 60891, 71087, 933, 236799, 3705, 15028, 41218, 623, 39977, 841, 2760, 672, 506, 1791, 1304, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 3472, 2338, 1116, 236743, 236770, 236819, 236832, 236778, 15028, 14779, 3345, 621, 689, 236828, 236800, 236744, 236785, 9646, 236778, 236819, 14255, 623, 76562, 236779, 13330, 1083, 3714, 11668, 1083, 623, 60891, 71087, 933, 236799, 3705, 827, 623, 76647, 1083, 236743, 236828, 236812, 236778, 236771, 236771, 236771, 236764, 623, 37939, 236779, 13692, 1083, 3714, 193166, 236779, 135887, 236779, 4043, 236779, 29552, 28268, 1083, 236743, 236770, 236778, 236764, 623, 43852, 236779, 22487, 236779, 721, 236779, 14808, 1083, 236743, 236810, 236764, 623, 87622, 1083, 1847, 112679, 3714, 65083, 236779, 547, 1083, 623, 66308, 236780, 236772, 236800, 236832, 236812, 236771, 236778, 827, 623, 1201, 1083, 13659, 18030, 206626, 141710, 827, 623, 76562, 1083, 623, 206626, 42278, 69851, 827, 623, 6725, 236779, 40232, 1083, 236743, 236828, 236770, 236778, 236800, 236764, 623, 83168, 236779, 56652, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 236771, 236764, 623, 43852, 236779, 26329, 1083, 11058, 8824, 63974, 531, 12580, 18763, 1308, 9333, 1392, 206626, 42278, 69851, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 26628, 621, 236756, 236778, 236771, 236770, 236800, 2290, 57393, 41218, 623, 10936, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 506, 2765, 573, 7266, 77472, 236881, 621, 689, 236828, 236800, 236744, 236785, 9646, 236832, 236746, 997, 4348, 11896, 2542, 122707, 22925, 79179, 14255, 623, 76562, 236779, 13330, 1083, 3714, 11668, 1083, 623, 206626, 42278, 69851, 827, 623, 76647, 1083, 236743, 236800, 236770, 236778, 236771, 236771, 236771, 236764, 623, 37939, 236779, 13692, 1083, 3714, 193166, 236779, 135887, 236779, 4043, 236779, 29552, 28268, 1083, 236743, 236828, 236764, 623, 43852, 236779, 22487, 236779, 721, 236779, 14808, 1083, 236743, 236800, 236764, 623, 87622, 1083, 2416, 112679, 3714, 65083, 236779, 547, 1083, 623, 66308, 236780, 236772, 236810, 236819, 236800, 236778, 236828, 827, 623, 1201, 1083, 13659, 4573, 164457, 236799, 873, 8565, 827, 623, 76562, 1083, 623, 212016, 703, 100399, 12689, 5211, 827, 623, 6725, 236779, 40232, 1083, 236743, 236810, 236825, 236770, 236832, 236764, 623, 83168, 236779, 56652, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 236764, 623, 43852, 236779, 26329, 1083, 11058, 33593, 672, 8319, 531, 3786, 1041, 8709, 87097, 236772, 15992, 621, 236756, 236778, 236771, 236770, 236800, 834, 2317, 41218, 623, 193850, 54737, 37146, 68303, 659, 1492, 496, 2523, 14385, 8863, 531, 672, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236825, 236746, 14255, 623, 76562, 236779, 13330, 1083, 3714, 11668, 1083, 623, 212016, 703, 100399, 12689, 5211, 827, 623, 76647, 1083, 236743, 236770, 236819, 236828, 236771, 236771, 236771, 236764, 623, 37939, 236779, 13692, 1083, 3714, 193166, 236779, 135887, 236779, 4043, 236779, 29552, 28268, 1083, 236743, 236770, 236810, 236764, 623, 43852, 236779, 22487, 236779, 721, 236779, 14808, 1083, 236743, 236812, 236764, 623, 87622, 1083, 1847, 1807, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 1903, 236743, 236800, 228017, 87097, 8991, 236787, 108, 236770, 236761, 5213, 236865, 4573, 164457, 206626, 66733, 1018, 138, 107, 139, 236772, 5213, 227187, 66515, 236743, 236770, 236778, 236764, 236832, 236812, 236800, 10103, 1109, 236743, 236778, 236828, 236810, 236767, 15975, 138, 107, 139, 236772, 5213, 24967, 66515, 4819, 34194, 6791, 39977, 841, 236789, 236751, 236743, 236770, 236819, 236832, 236778, 15028, 14779, 3345, 236775, 9960, 236768, 138, 107, 139, 236772, 5213, 82917, 66515, 1392, 60891, 71087, 933, 236799, 3705, 568, 236828, 236812, 236778, 236767, 23073, 236764, 236743, 236770, 236778, 14105, 14049, 2299, 102648, 236764, 27662, 236768, 138, 108, 236778, 236761, 5213, 236865, 18030, 206626, 141710, 1018, 138, 107, 139, 236772, 5213, 227187, 66515, 236743, 236828, 236764, 236770, 236778, 236800, 10103, 1109, 236743, 236770, 236812, 236778, 236767, 15975, 138, 107, 139, 236772, 5213, 24967, 66515, 22202, 11221, 7659, 6791, 37657, 18763, 26628, 1373, 138, 107, 139, 236772, 5213, 82917, 66515, 1392, 206626, 42278, 69851, 568, 236800, 236770, 236778, 236767, 23073, 236764, 236743, 236828, 14105, 4402, 236764, 711, 27662, 236768, 138, 108, 236800, 236761, 5213, 236865, 4573, 164457, 236799, 873, 8565, 1018, 138, 107, 139, 236772, 5213, 227187, 66515, 236743, 236810, 236764, 236825, 236770, 236832, 10103, 1109, 236743, 236819, 236828, 236767, 15975, 138, 107, 139, 236772, 5213, 24967, 66515, 12831, 236772, 18865, 3213, 6791, 166902, 1041, 8709, 1373, 138, 107, 139, 236772, 5213, 82917, 66515, 1392, 212016, 703, 100399, 12689, 5211, 568, 236770, 236819, 236828, 236767, 23073, 236764, 5213, 236770, 236810, 14105, 4402, 125546, 27662, 236768, 138, 108, 1018, 211199, 66515, 138, 107, 818, 5213, 236865, 4573, 164457, 206626, 66733, 1018, 815, 506, 7310, 15154, 532, 496, 6112, 5158, 33797, 607, 506, 1346, 14105, 14049, 2299, 126853, 236761, 669, 33797, 236789, 236751, 28250, 33269, 532, 17597, 25035, 568, 236810, 236781, 236786, 14808, 236768, 992, 3600, 21016, 573, 496, 2197, 91624, 2460, 236761, 138, 108, 38786, 611, 1133, 531, 6154, 672, 8319, 653, 1202, 1601, 8159, 506, 1519, 236772, 1048, 4889, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1023, 8268, 63287, 236789, 236751, 7384, 12441, 236761, 5315, 236764, 564, 1461, 531, 1586, 1070, 14105, 236772, 3061, 12616, 528, 42112, 600, 740, 25430, 496, 2455, 2299, 236761, 9920, 692, 735, 3835, 236764, 564, 236789, 236753, 1133, 531, 2426, 910, 3489, 17659, 532, 10595, 236761, 13472, 236764, 692, 1202, 531, 4351, 496, 3433, 600, 4146, 1388, 236764, 532, 564, 6827, 1070, 1331, 1133, 531, 2426, 3872, 190353, 573, 27661, 14069, 236761, 3199, 611, 6060, 672, 2918, 684, 2918, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 11058, 818, 14105, 54866, 184780, 827, 623, 236707, 56179, 5407, 827, 623, 59591, 6863, 41025, 10353, 827, 623, 818, 47450, 163924, 28338, 827, 623, 37892, 4221, 26532, 236767, 155775, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19995, 236779, 658, 878, 1083, 3714, 6725, 236779, 658, 878, 1083, 236743, 236770, 236778, 236832, 236764, 623, 126775, 236779, 28263, 1083, 3714, 30558, 1083, 236743, 236832, 236828, 236761, 236778, 236764, 623, 45258, 1083, 236743, 236770, 236810, 236761, 236812, 236764, 623, 27851, 1083, 236743, 236825, 236761, 236812, 1263, 623, 3991, 236779, 41427, 1083, 11058, 18865, 2509, 827, 623, 193166, 34162, 827, 623, 20619, 2299, 827, 623, 131841, 2780, 827, 623, 1020, 19146, 152254, 623, 25612, 236779, 147691, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 43852, 236779, 231787, 1083, 623, 126463, 42298, 529, 756, 10774, 236772, 18865, 11661, 236789, 528, 1774, 236743, 236800, 236771, 2668, 827, 623, 30182, 236779, 79082, 8562, 1083, 11058, 236874, 77633, 827, 623, 19540, 31727, 827, 623, 69249, 136300, 152254, 623, 85038, 567, 1083, 623, 818, 14105, 54866, 184780, 7412, 1388, 236772, 135717, 573, 2455, 4402, 607, 22541, 4414, 10595, 1003, 73277, 4749, 532, 15891, 236772, 3061, 52724, 3835, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8478, 1083, 623, 149662, 136455, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 1818, 32780, 1083, 623, 236811, 66174, 1719, 573, 2299, 61182, 532, 4893, 236772, 15992, 236761, 5180, 74974, 7304, 795, 3437, 4414, 2778, 531, 19399, 6614, 236761, 14066, 672, 3433, 131665, 573, 201585, 822, 63287, 12441, 20573, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 506, 6555, 7723, 532, 15136, 573, 822, 8268, 63287, 236789, 236751, 7384, 12441, 236787, 108, 1018, 60891, 79074, 528, 42112, 53121, 107, 236770, 236761, 669, 14105, 54866, 184780, 568, 75652, 236768, 107, 236778, 236761, 42112, 56179, 5407, 107, 236800, 236761, 32277, 6863, 41025, 10353, 107, 236812, 236761, 669, 47450, 163924, 28338, 107, 236810, 236761, 10976, 4221, 26532, 236767, 155775, 108, 1018, 90882, 13768, 53121, 107, 818, 14105, 54866, 184780, 3831, 3188, 4414, 27078, 568, 236832, 236828, 236761, 236778, 236908, 4414, 10595, 236768, 607, 3530, 30450, 573, 236787, 107, 240721, 68656, 1901, 1194, 2455, 4402, 107, 240721, 14105, 34162, 107, 240721, 171873, 2460, 2557, 107, 240721, 108135, 2780, 3325, 107, 35089, 14470, 236787, 136723, 236812, 236761, 236825, 236786, 236810, 108, 1018, 20169, 32780, 89856, 53121, 107, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 149662, 136455, 236768, 563, 6412, 27661, 573, 236787, 107, 240721, 6308, 61182, 107, 240721, 40954, 236772, 15992, 107, 240721, 12209, 6995, 107, 818, 143896, 10916, 8687, 236787, 623, 11069, 74974, 7304, 795, 3437, 4414, 2778, 531, 19399, 6614, 1781, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 7179, 15830, 657, 669, 14105, 54866, 184780, 573, 6198, 236743, 236770, 236810, 236881, 107, 236778, 236761, 39525, 10595, 573, 1027, 1032, 12616, 699, 506, 1694, 236881, 107, 236800, 236761, 19536, 12262, 496, 33391, 2864, 653, 2460, 26410, 236881, 106, 107, 105, 2364, 107, 6845, 15830, 657, 669, 14105, 54866, 184780, 573, 6198, 236743, 236770, 236810, 594, 236761, 1637, 901, 236789, 500, 35929, 236764, 1531, 236789, 236751, 2426, 506, 2148, 10325, 9180, 580, 506, 1694, 236761, 9920, 692, 9128, 496, 19573, 236764, 564, 236789, 859, 1202, 1601, 66582, 496, 33391, 2864, 607, 506, 2299, 2425, 568, 236778, 236828, 1331, 236768, 532, 49326, 1023, 8268, 63287, 2460, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 12262, 496, 33391, 2864, 573, 669, 14105, 54866, 184780, 236764, 618, 16329, 1759, 236772, 2289, 15830, 5889, 236789, 236745, 2653, 1343, 1041, 1873, 6436, 236761, 5715, 236789, 236751, 496, 5707, 26410, 611, 740, 5039, 531, 506, 9180, 236787, 108, 7243, 107, 1018, 21288, 53121, 6308, 93980, 87101, 573, 8137, 107368, 58302, 12209, 108, 31163, 870, 90882, 12062, 236789, 236751, 7343, 1604, 108, 1882, 659, 506, 870, 11069, 8137, 7343, 236842, 63287, 9769, 6995, 1023, 7384, 12441, 19138, 580, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 532, 1093, 1133, 531, 18151, 822, 19573, 573, 496, 2299, 529, 5213, 236778, 236828, 12286, 84750, 1191, 236789, 500, 6412, 9710, 531, 822, 14105, 34162, 532, 30351, 54472, 24724, 528, 4803, 10595, 236761, 108, 1018, 3500, 20303, 53121, 107, 236772, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 7578, 236787, 870, 34851, 990, 2644, 236764, 545, 236761, 236759, 1126, 236743, 236825, 236787, 236771, 236771, 236772, 236828, 236787, 236800, 236771, 8711, 236842, 107, 236772, 6308, 19511, 236787, 236743, 236778, 236828, 1331, 568, 48015, 63287, 3295, 532, 12286, 236768, 107, 236772, 10624, 16499, 236787, 19782, 236786, 5106, 2557, 768, 2487, 107, 236772, 7918, 236787, 1191, 1093, 2765, 531, 27968, 1027, 14105, 236772, 3061, 52724, 3835, 611, 5840, 573, 2299, 4749, 108, 30092, 611, 5091, 9128, 15830, 573, 672, 3433, 532, 2847, 1027, 2803, 2299, 22479, 1938, 236881, 1191, 236789, 236753, 577, 5293, 531, 3249, 6831, 3835, 532, 2460, 26937, 4889, 3622, 15830, 563, 10778, 236761, 108, 14782, 611, 573, 11337, 1023, 2864, 236761, 1191, 1385, 4448, 531, 14846, 28448, 607, 822, 2434, 236761, 108, 99257, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 77692, 7343, 236842, 107368, 8171, 138, 107, 236840, 11431, 23386, 9661, 236842, 138, 107, 236840, 11919, 15874, 236842, 107, 7243, 108, 2542, 13258, 15830, 17507, 236764, 564, 5840, 236787, 107, 236770, 236761, 108933, 910, 4456, 568, 584, 1027, 236768, 531, 1161, 496, 33391, 25287, 107, 236778, 236761, 80340, 1091, 5467, 657, 568, 236825, 236770, 236810, 236768, 236743, 236832, 236828, 236778, 236772, 236828, 236778, 236771, 236771, 568, 8358, 42112, 9180, 1548, 236768, 107, 236800, 236761, 10352, 7607, 5010, 236786, 1988, 236762, 14175, 768, 12809, 528, 910, 3489, 20183, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 3361, 45174, 573, 506, 1032, 12616, 580, 506, 1694, 618, 21609, 3835, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1023, 8268, 63287, 236789, 236751, 7384, 12441, 236761, 5315, 236764, 564, 1461, 531, 1586, 1070, 14105, 236772, 3061, 12616, 528, 42112, 600, 740, 25430, 496, 2455, 2299, 236761, 9920, 692, 735, 3835, 236764, 564, 236789, 236753, 1133, 531, 2426, 910, 3489, 17659, 532, 10595, 236761, 13472, 236764, 692, 1202, 531, 4351, 496, 3433, 600, 4146, 1388, 236764, 532, 564, 6827, 1070, 1331, 1133, 531, 2426, 3872, 190353, 573, 27661, 14069, 236761, 3199, 611, 6060, 672, 2918, 684, 2918, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 11058, 818, 14105, 54866, 184780, 827, 623, 236707, 56179, 5407, 827, 623, 59591, 6863, 41025, 10353, 827, 623, 818, 47450, 163924, 28338, 827, 623, 37892, 4221, 26532, 236767, 155775, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19995, 236779, 658, 878, 1083, 3714, 6725, 236779, 658, 878, 1083, 236743, 236770, 236778, 236832, 236764, 623, 126775, 236779, 28263, 1083, 3714, 30558, 1083, 236743, 236832, 236828, 236761, 236778, 236764, 623, 45258, 1083, 236743, 236770, 236810, 236761, 236812, 236764, 623, 27851, 1083, 236743, 236825, 236761, 236812, 1263, 623, 3991, 236779, 41427, 1083, 11058, 18865, 2509, 827, 623, 193166, 34162, 827, 623, 20619, 2299, 827, 623, 131841, 2780, 827, 623, 1020, 19146, 152254, 623, 25612, 236779, 147691, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 43852, 236779, 231787, 1083, 623, 126463, 42298, 529, 756, 10774, 236772, 18865, 11661, 236789, 528, 1774, 236743, 236800, 236771, 2668, 827, 623, 30182, 236779, 79082, 8562, 1083, 11058, 236874, 77633, 827, 623, 19540, 31727, 827, 623, 69249, 136300, 152254, 623, 85038, 567, 1083, 623, 818, 14105, 54866, 184780, 7412, 1388, 236772, 135717, 573, 2455, 4402, 607, 22541, 4414, 10595, 1003, 73277, 4749, 532, 15891, 236772, 3061, 52724, 3835, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8478, 1083, 623, 149662, 136455, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 1818, 32780, 1083, 623, 236811, 66174, 1719, 573, 2299, 61182, 532, 4893, 236772, 15992, 236761, 5180, 74974, 7304, 795, 3437, 4414, 2778, 531, 19399, 6614, 236761, 14066, 672, 3433, 131665, 573, 201585, 822, 63287, 12441, 20573, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 506, 6555, 7723, 532, 15136, 573, 822, 8268, 63287, 236789, 236751, 7384, 12441, 236787, 108, 1018, 60891, 79074, 528, 42112, 53121, 107, 236770, 236761, 669, 14105, 54866, 184780, 568, 75652, 236768, 107, 236778, 236761, 42112, 56179, 5407, 107, 236800, 236761, 32277, 6863, 41025, 10353, 107, 236812, 236761, 669, 47450, 163924, 28338, 107, 236810, 236761, 10976, 4221, 26532, 236767, 155775, 108, 1018, 90882, 13768, 53121, 107, 818, 14105, 54866, 184780, 3831, 3188, 4414, 27078, 568, 236832, 236828, 236761, 236778, 236908, 4414, 10595, 236768, 607, 3530, 30450, 573, 236787, 107, 240721, 68656, 1901, 1194, 2455, 4402, 107, 240721, 14105, 34162, 107, 240721, 171873, 2460, 2557, 107, 240721, 108135, 2780, 3325, 107, 35089, 14470, 236787, 136723, 236812, 236761, 236825, 236786, 236810, 108, 1018, 20169, 32780, 89856, 53121, 107, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 149662, 136455, 236768, 563, 6412, 27661, 573, 236787, 107, 240721, 6308, 61182, 107, 240721, 40954, 236772, 15992, 107, 240721, 12209, 6995, 107, 818, 143896, 10916, 8687, 236787, 623, 11069, 74974, 7304, 795, 3437, 4414, 2778, 531, 19399, 6614, 1781, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 7179, 15830, 657, 669, 14105, 54866, 184780, 573, 6198, 236743, 236770, 236810, 236881, 107, 236778, 236761, 39525, 10595, 573, 1027, 1032, 12616, 699, 506, 1694, 236881, 107, 236800, 236761, 19536, 12262, 496, 33391, 2864, 653, 2460, 26410, 236881, 106, 107, 105, 2364, 107, 6845, 15830, 657, 669, 14105, 54866, 184780, 573, 6198, 236743, 236770, 236810, 594, 236761, 1637, 901, 236789, 500, 35929, 236764, 1531, 236789, 236751, 2426, 506, 2148, 10325, 9180, 580, 506, 1694, 236761, 9920, 692, 9128, 496, 19573, 236764, 564, 236789, 859, 1202, 1601, 66582, 496, 33391, 2864, 607, 506, 2299, 2425, 568, 236778, 236828, 1331, 236768, 532, 49326, 1023, 8268, 63287, 2460, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 12262, 496, 33391, 2864, 573, 669, 14105, 54866, 184780, 236764, 618, 16329, 1759, 236772, 2289, 15830, 5889, 236789, 236745, 2653, 1343, 1041, 1873, 6436, 236761, 5715, 236789, 236751, 496, 5707, 26410, 611, 740, 5039, 531, 506, 9180, 236787, 108, 7243, 107, 1018, 21288, 53121, 6308, 93980, 87101, 573, 8137, 107368, 58302, 12209, 108, 31163, 870, 90882, 12062, 236789, 236751, 7343, 1604, 108, 1882, 659, 506, 870, 11069, 8137, 7343, 236842, 63287, 9769, 6995, 1023, 7384, 12441, 19138, 580, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 532, 1093, 1133, 531, 18151, 822, 19573, 573, 496, 2299, 529, 5213, 236778, 236828, 12286, 84750, 1191, 236789, 500, 6412, 9710, 531, 822, 14105, 34162, 532, 30351, 54472, 24724, 528, 4803, 10595, 236761, 108, 1018, 3500, 20303, 53121, 107, 236772, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 7578, 236787, 870, 34851, 990, 2644, 236764, 545, 236761, 236759, 1126, 236743, 236825, 236787, 236771, 236771, 236772, 236828, 236787, 236800, 236771, 8711, 236842, 107, 236772, 6308, 19511, 236787, 236743, 236778, 236828, 1331, 568, 48015, 63287, 3295, 532, 12286, 236768, 107, 236772, 10624, 16499, 236787, 19782, 236786, 5106, 2557, 768, 2487, 107, 236772, 7918, 236787, 1191, 1093, 2765, 531, 27968, 1027, 14105, 236772, 3061, 52724, 3835, 611, 5840, 573, 2299, 4749, 108, 30092, 611, 5091, 9128, 15830, 573, 672, 3433, 532, 2847, 1027, 2803, 2299, 22479, 1938, 236881, 1191, 236789, 236753, 577, 5293, 531, 3249, 6831, 3835, 532, 2460, 26937, 4889, 3622, 15830, 563, 10778, 236761, 108, 14782, 611, 573, 11337, 1023, 2864, 236761, 1191, 1385, 4448, 531, 14846, 28448, 607, 822, 2434, 236761, 108, 99257, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 77692, 7343, 236842, 107368, 8171, 138, 107, 236840, 11431, 23386, 9661, 236842, 138, 107, 236840, 11919, 15874, 236842, 107, 7243, 108, 2542, 13258, 15830, 17507, 236764, 564, 5840, 236787, 107, 236770, 236761, 108933, 910, 4456, 568, 584, 1027, 236768, 531, 1161, 496, 33391, 25287, 107, 236778, 236761, 80340, 1091, 5467, 657, 568, 236825, 236770, 236810, 236768, 236743, 236832, 236828, 236778, 236772, 236828, 236778, 236771, 236771, 568, 8358, 42112, 9180, 1548, 236768, 107, 236800, 236761, 10352, 7607, 5010, 236786, 1988, 236762, 14175, 768, 12809, 528, 910, 3489, 20183, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 3361, 45174, 573, 506, 1032, 12616, 580, 506, 1694, 618, 21609, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 30923, 506, 44247, 529, 496, 56241, 4993, 6511, 4456, 564, 1461, 531, 1161, 573, 1041, 3272, 236761, 3199, 611, 2426, 506, 8610, 9747, 532, 3104, 8345, 19455, 573, 5213, 2769, 236761, 37019, 28734, 18892, 236761, 2187, 1018, 531, 6054, 1061, 3927, 3958, 27672, 3435, 532, 21016, 618, 496, 3738, 236881, 1174, 795, 1601, 786, 10741, 768, 625, 236789, 236751, 9273, 573, 37803, 1131, 1041, 25755, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 84885, 1083, 236743, 236832, 236810, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236810, 236761, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 19455, 573, 5213, 2769, 236761, 37019, 28734, 18892, 236761, 2187, 1018, 10128, 506, 2269, 236787, 108, 236772, 5213, 31212, 19430, 568, 7172, 1473, 236743, 236832, 236810, 236786, 236770, 236771, 236771, 1018, 138, 107, 138, 2094, 12205, 506, 4456, 815, 496, 3188, 1063, 2883, 8781, 532, 563, 4547, 26576, 684, 3927, 18362, 236764, 3043, 625, 496, 57799, 3738, 573, 12524, 3004, 236761, 108, 236772, 5213, 4163, 30052, 568, 7719, 1473, 236743, 236810, 236761, 236810, 236786, 236770, 236771, 1018, 138, 107, 138, 8409, 711, 47321, 1494, 236764, 672, 6317, 11387, 21037, 9747, 236761, 669, 3432, 563, 4547, 531, 8345, 24746, 1388, 528, 3927, 2536, 840, 1149, 711, 41932, 6112, 13128, 56241, 4993, 30154, 236761, 108, 236772, 5213, 9008, 42841, 236787, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 138, 107, 138, 818, 19455, 659, 1873, 236764, 32427, 506, 3432, 236789, 236751, 4803, 3736, 236761, 108, 10354, 91330, 573, 92381, 43645, 236787, 138, 107, 236770, 236761, 5213, 32184, 3092, 66515, 21119, 236743, 236832, 236810, 12765, 21016, 618, 614, 12524, 6511, 236764, 840, 16807, 506, 10634, 529, 3530, 3004, 684, 4071, 236772, 35380, 9908, 607, 24240, 236772, 88299, 7021, 653, 6697, 11326, 236761, 138, 107, 236778, 236761, 5213, 4795, 19779, 66515, 67373, 3363, 506, 5405, 8913, 607, 822, 25755, 8443, 236764, 659, 2196, 529, 17482, 236764, 532, 659, 10448, 14578, 236761, 138, 107, 236800, 236761, 5213, 170220, 6890, 66515, 70535, 672, 6511, 607, 1032, 1494, 236772, 84885, 7088, 568, 236744, 236761, 236759, 1126, 783, 11932, 653, 783, 12561, 26104, 236768, 531, 95910, 4735, 5417, 236761, 138, 108, 8409, 506, 19455, 659, 23284, 236764, 2462, 56856, 3004, 36787, 532, 131985, 1550, 1024, 8330, 14900, 7057, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 8610, 9747, 532, 3104, 8345, 19455, 573, 5213, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 1018, 568, 147701, 13864, 236789, 236751, 56241, 3336, 236768, 532, 5213, 2769, 236761, 236749, 14243, 236761, 2187, 1018, 568, 20918, 7621, 44624, 8096, 236768, 531, 10769, 910, 44247, 532, 3927, 3958, 47551, 607, 5213, 2769, 236761, 37019, 28734, 18892, 236761, 2187, 1018, 236881, 1174, 795, 1601, 786, 56856, 506, 1346, 79500, 5405, 573, 1041, 6029, 2528, 6647, 25755, 236764, 4285, 573, 208288, 3272, 1015, 1202, 13451, 236764, 15283, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236778, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236828, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 236749, 14243, 236761, 2187, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236778, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236828, 236761, 236832, 236764, 623, 1942, 2883, 236779, 2861, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236771, 236771, 236764, 623, 47340, 236779, 50257, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 4243, 3986, 1111, 236779, 24422, 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, 236858, 236751, 496, 9960, 529, 506, 19455, 573, 5213, 147701, 13864, 568, 27671, 3336, 62902, 236764, 5213, 236797, 54708, 125546, 532, 5213, 27671, 37607, 18238, 66515, 108, 236909, 5213, 42475, 1018, 156, 236909, 5213, 31212, 19430, 568, 7172, 62902, 1109, 5213, 4163, 30052, 568, 7719, 62902, 1109, 5213, 3503, 24118, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 44042, 236909, 2819, 40673, 236909, 2819, 1040, 236909, 2819, 2819, 2819, 2819, 43386, 236909, 107, 236909, 5213, 147701, 13864, 568, 45946, 62902, 140, 236909, 5213, 236819, 236778, 236786, 236770, 236771, 236771, 1018, 151, 236909, 5213, 236828, 236786, 236770, 236771, 1018, 147, 236909, 4819, 21119, 532, 9206, 236793, 26576, 4185, 4993, 5058, 607, 12688, 5405, 236761, 1109, 107, 236909, 5213, 236797, 54708, 568, 20918, 7621, 44624, 8096, 62902, 1109, 5213, 236819, 236778, 236786, 236770, 236771, 236771, 1018, 1109, 5213, 236828, 236761, 236832, 236786, 236770, 236771, 1018, 145, 236909, 20467, 9747, 236793, 3188, 9206, 236764, 236743, 236770, 236761, 236828, 236810, 236792, 236862, 199558, 236764, 236743, 236800, 236778, 236771, 236855, 236862, 13822, 13131, 236761, 141, 236909, 107, 236909, 5213, 27671, 37607, 18238, 1018, 140, 236909, 5213, 236832, 236810, 236786, 236770, 236771, 236771, 1018, 151, 236909, 5213, 236810, 236761, 236810, 236786, 236770, 236771, 1018, 145, 236909, 90434, 21119, 236786, 7719, 236793, 9273, 573, 56656, 1161, 840, 2344, 19659, 9747, 236761, 1109, 108, 10354, 5213, 35434, 833, 91330, 66515, 107, 236770, 236761, 5213, 147701, 13864, 1018, 532, 5213, 236797, 54708, 1018, 659, 5213, 3991, 236772, 43289, 79500, 7021, 1018, 568, 7172, 57846, 236743, 236819, 236771, 236764, 9206, 57846, 236743, 236828, 779, 3043, 1091, 7436, 573, 7157, 25755, 12434, 236761, 138, 107, 139, 236772, 18516, 13864, 236858, 236751, 5213, 6796, 236764, 15283, 3004, 1018, 563, 4011, 573, 208288, 3272, 236761, 138, 107, 139, 236772, 646, 54708, 236858, 236751, 5213, 45437, 236772, 9619, 5405, 1018, 568, 4647, 607, 65799, 4033, 8443, 236768, 659, 7516, 573, 16183, 6995, 236761, 138, 108, 236778, 236761, 5213, 27671, 37607, 18238, 1018, 568, 7172, 236743, 236832, 236810, 236764, 9206, 236743, 236810, 236761, 236810, 236768, 563, 5213, 67223, 573, 56656, 1161, 1018, 840, 40826, 506, 9747, 529, 506, 1032, 1156, 236761, 12713, 236772, 4256, 1061, 3004, 607, 3715, 236772, 7172, 7021, 236761, 138, 108, 236800, 236761, 5213, 30255, 217361, 34428, 66515, 138, 107, 139, 236772, 5213, 32663, 66515, 18516, 13864, 568, 6796, 236764, 1494, 21119, 236786, 7719, 236768, 900, 646, 54708, 568, 78885, 236772, 236766, 77558, 236764, 1494, 8827, 769, 138, 107, 139, 236772, 5213, 65757, 66515, 56241, 37607, 18238, 568, 1708, 36989, 653, 36297, 3004, 769, 138, 108, 236812, 236761, 5213, 143389, 7918, 66515, 18516, 13864, 236858, 236751, 5058, 563, 5402, 573, 16960, 568, 109076, 2802, 236764, 132567, 1894, 779, 837, 100146, 1388, 607, 822, 3213, 580, 208288, 3272, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 30923, 3530, 3004, 699, 1239, 7088, 236888, 106, 107, 105, 2364, 107, 26479, 506, 9960, 236764, 5213, 147701, 13864, 1018, 532, 5213, 236797, 54708, 1018, 659, 3582, 28304, 573, 7157, 25755, 12434, 236761, 2282, 59638, 672, 3342, 573, 822, 6029, 2528, 6647, 7694, 236764, 1451, 611, 236787, 236743, 236770, 236761, 5213, 6845, 506, 11338, 30052, 568, 7719, 236768, 529, 3530, 18516, 13864, 6647, 7704, 1018, 568, 236744, 236761, 236759, 1126, 5213, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 71827, 125546, 5213, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 129580, 119542, 531, 5330, 910, 1159, 11134, 4883, 506, 1638, 1494, 9747, 618, 506, 8610, 6782, 236881, 236743, 236778, 236761, 5213, 137938, 506, 1903, 236743, 236800, 1346, 236772, 21903, 236772, 1071, 5405, 580, 646, 54708, 236858, 236751, 3432, 1018, 568, 236744, 236761, 236759, 1126, 16183, 6614, 236764, 65799, 4033, 236772, 4647, 5085, 236768, 1699, 1063, 2883, 1262, 236881, 1174, 1093, 1601, 786, 3213, 580, 910, 1346, 86820, 5417, 573, 208288, 3272, 236761, 1174, 795, 1601, 786, 51808, 990, 532, 5405, 11974, 236764, 17096, 3272, 15474, 607, 506, 1346, 79500, 532, 15283, 3004, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 71827, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236770, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236832, 236764, 623, 1942, 17943, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 34791, 236779, 41427, 1083, 236743, 236800, 236812, 236771, 236771, 236771, 236771, 236764, 623, 47340, 236779, 50257, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 129580, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236778, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236832, 236764, 623, 5455, 236779, 79082, 8562, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 236770, 236761, 18516, 13864, 5375, 4000, 116589, 1018, 138, 107, 8291, 236858, 236751, 506, 1262, 573, 3530, 6647, 1159, 11134, 236787, 138, 108, 236909, 5213, 4163, 1018, 167, 1109, 5213, 31212, 19430, 1018, 1109, 5213, 4163, 30052, 1018, 1109, 5213, 3503, 24118, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 2819, 40686, 236909, 2819, 33129, 236909, 44042, 236909, 2819, 2819, 2819, 2819, 43386, 236909, 107, 236909, 5213, 64446, 1018, 568, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 71827, 236768, 138, 236909, 236743, 236819, 236770, 236786, 236770, 236771, 236771, 150, 236909, 236743, 236832, 236786, 236770, 236771, 146, 236909, 236743, 236770, 236778, 236761, 236810, 236792, 199558, 236764, 236743, 236800, 236812, 236771, 236855, 236862, 10293, 30154, 236764, 236743, 236778, 236761, 236828, 236792, 13822, 13131, 236761, 4819, 9747, 840, 8427, 3718, 9206, 1082, 506, 8610, 49674, 236761, 1109, 107, 236909, 5213, 144131, 1018, 568, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 129580, 236768, 139, 236909, 236743, 236819, 236778, 236786, 236770, 236771, 236771, 150, 236909, 236743, 236832, 236786, 236770, 236771, 146, 236909, 145918, 506, 8610, 236858, 236751, 21119, 236793, 9206, 7474, 9958, 236761, 42841, 5261, 236743, 236778, 236771, 236778, 236810, 236761, 147, 236909, 108, 1018, 30792, 66515, 10508, 1159, 11134, 4883, 5213, 22468, 9747, 1018, 568, 7172, 57846, 236743, 236819, 236770, 236764, 9206, 236743, 236832, 779, 3635, 8427, 3718, 1082, 506, 1689, 8610, 236858, 236751, 9206, 236743, 236828, 236761, 19238, 236764, 901, 659, 6112, 13451, 532, 4547, 8345, 1388, 573, 13128, 56241, 14050, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 646, 54708, 8231, 18238, 1018, 138, 107, 35155, 236764, 506, 1873, 5904, 1677, 5213, 2217, 2847, 60333, 1063, 2883, 1262, 573, 3141, 7704, 1018, 580, 496, 8610, 568, 236744, 236761, 236759, 1126, 2165, 236749, 14243, 236761, 2187, 236786, 66746, 236772, 15081, 236772, 56660, 59395, 669, 5904, 1186, 7623, 19455, 573, 506, 5989, 8610, 20442, 236749, 14243, 236761, 2187, 18833, 653, 3530, 60973, 768, 24473, 131469, 236761, 138, 108, 1018, 8755, 531, 101685, 66515, 138, 107, 236772, 5213, 13733, 236743, 236770, 66515, 2599, 1755, 2426, 3530, 646, 54708, 60973, 768, 611, 735, 1091, 528, 3666, 568, 236744, 236761, 236759, 1126, 2165, 2769, 236761, 236749, 14243, 236761, 2187, 236786, 11480, 236772, 15276, 236772, 111975, 59395, 138, 107, 236772, 5213, 13733, 236743, 236778, 66515, 26922, 646, 54708, 236858, 236751, 4456, 5467, 531, 8701, 910, 1346, 236772, 21903, 5405, 568, 236744, 236761, 236759, 1126, 65799, 4033, 15039, 236764, 2196, 16183, 6614, 236764, 653, 16960, 236772, 41889, 5904, 142637, 769, 138, 107, 236772, 5213, 13733, 236743, 236800, 66515, 6890, 9691, 26395, 6436, 568, 236744, 236761, 236759, 1126, 562, 10507, 236751, 236764, 41662, 85972, 236768, 573, 1063, 2883, 3671, 236764, 840, 1239, 659, 4782, 1041, 1873, 15858, 236761, 138, 108, 7243, 108, 10354, 5213, 201430, 573, 92381, 30235, 1018, 138, 107, 1018, 147701, 13864, 66515, 138, 107, 236772, 22282, 77372, 5213, 64446, 1018, 532, 5213, 144131, 1018, 7704, 568, 7172, 236743, 236819, 236770, 236772, 236819, 236778, 236764, 9206, 236743, 236832, 236768, 573, 91798, 3004, 236761, 138, 107, 236772, 212649, 910, 5213, 109076, 36453, 1018, 568, 15218, 13283, 236768, 573, 208288, 3272, 236761, 138, 108, 1018, 236797, 54708, 66515, 138, 107, 236772, 30235, 580, 5213, 14702, 4033, 236772, 4647, 5405, 1018, 568, 236744, 236761, 236759, 1126, 870, 14702, 4033, 19839, 5457, 2574, 1411, 829, 1075, 236761, 236749, 14243, 236761, 2187, 1223, 532, 5213, 6796, 116929, 1018, 568, 74860, 6112, 12809, 769, 138, 107, 236772, 6890, 910, 5213, 51647, 236772, 88299, 41341, 1018, 568, 236744, 236761, 236759, 1126, 808, 45946, 74484, 17616, 573, 9800, 236772, 991, 16183, 6995, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 786, 531, 2426, 3530, 646, 54708, 60973, 653, 10769, 1239, 5405, 531, 2264, 3432, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 30923, 506, 44247, 529, 496, 56241, 4993, 6511, 4456, 564, 1461, 531, 1161, 573, 1041, 3272, 236761, 3199, 611, 2426, 506, 8610, 9747, 532, 3104, 8345, 19455, 573, 5213, 2769, 236761, 37019, 28734, 18892, 236761, 2187, 1018, 531, 6054, 1061, 3927, 3958, 27672, 3435, 532, 21016, 618, 496, 3738, 236881, 1174, 795, 1601, 786, 10741, 768, 625, 236789, 236751, 9273, 573, 37803, 1131, 1041, 25755, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 84885, 1083, 236743, 236832, 236810, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236810, 236761, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 19455, 573, 5213, 2769, 236761, 37019, 28734, 18892, 236761, 2187, 1018, 10128, 506, 2269, 236787, 108, 236772, 5213, 31212, 19430, 568, 7172, 1473, 236743, 236832, 236810, 236786, 236770, 236771, 236771, 1018, 138, 107, 138, 2094, 12205, 506, 4456, 815, 496, 3188, 1063, 2883, 8781, 532, 563, 4547, 26576, 684, 3927, 18362, 236764, 3043, 625, 496, 57799, 3738, 573, 12524, 3004, 236761, 108, 236772, 5213, 4163, 30052, 568, 7719, 1473, 236743, 236810, 236761, 236810, 236786, 236770, 236771, 1018, 138, 107, 138, 8409, 711, 47321, 1494, 236764, 672, 6317, 11387, 21037, 9747, 236761, 669, 3432, 563, 4547, 531, 8345, 24746, 1388, 528, 3927, 2536, 840, 1149, 711, 41932, 6112, 13128, 56241, 4993, 30154, 236761, 108, 236772, 5213, 9008, 42841, 236787, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 138, 107, 138, 818, 19455, 659, 1873, 236764, 32427, 506, 3432, 236789, 236751, 4803, 3736, 236761, 108, 10354, 91330, 573, 92381, 43645, 236787, 138, 107, 236770, 236761, 5213, 32184, 3092, 66515, 21119, 236743, 236832, 236810, 12765, 21016, 618, 614, 12524, 6511, 236764, 840, 16807, 506, 10634, 529, 3530, 3004, 684, 4071, 236772, 35380, 9908, 607, 24240, 236772, 88299, 7021, 653, 6697, 11326, 236761, 138, 107, 236778, 236761, 5213, 4795, 19779, 66515, 67373, 3363, 506, 5405, 8913, 607, 822, 25755, 8443, 236764, 659, 2196, 529, 17482, 236764, 532, 659, 10448, 14578, 236761, 138, 107, 236800, 236761, 5213, 170220, 6890, 66515, 70535, 672, 6511, 607, 1032, 1494, 236772, 84885, 7088, 568, 236744, 236761, 236759, 1126, 783, 11932, 653, 783, 12561, 26104, 236768, 531, 95910, 4735, 5417, 236761, 138, 108, 8409, 506, 19455, 659, 23284, 236764, 2462, 56856, 3004, 36787, 532, 131985, 1550, 1024, 8330, 14900, 7057, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 8610, 9747, 532, 3104, 8345, 19455, 573, 5213, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 1018, 568, 147701, 13864, 236789, 236751, 56241, 3336, 236768, 532, 5213, 2769, 236761, 236749, 14243, 236761, 2187, 1018, 568, 20918, 7621, 44624, 8096, 236768, 531, 10769, 910, 44247, 532, 3927, 3958, 47551, 607, 5213, 2769, 236761, 37019, 28734, 18892, 236761, 2187, 1018, 236881, 1174, 795, 1601, 786, 56856, 506, 1346, 79500, 5405, 573, 1041, 6029, 2528, 6647, 25755, 236764, 4285, 573, 208288, 3272, 1015, 1202, 13451, 236764, 15283, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236778, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236828, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 236749, 14243, 236761, 2187, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236778, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236828, 236761, 236832, 236764, 623, 1942, 2883, 236779, 2861, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236771, 236771, 236764, 623, 47340, 236779, 50257, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 4243, 3986, 1111, 236779, 24422, 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, 236858, 236751, 496, 9960, 529, 506, 19455, 573, 5213, 147701, 13864, 568, 27671, 3336, 62902, 236764, 5213, 236797, 54708, 125546, 532, 5213, 27671, 37607, 18238, 66515, 108, 236909, 5213, 42475, 1018, 156, 236909, 5213, 31212, 19430, 568, 7172, 62902, 1109, 5213, 4163, 30052, 568, 7719, 62902, 1109, 5213, 3503, 24118, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 44042, 236909, 2819, 40673, 236909, 2819, 1040, 236909, 2819, 2819, 2819, 2819, 43386, 236909, 107, 236909, 5213, 147701, 13864, 568, 45946, 62902, 140, 236909, 5213, 236819, 236778, 236786, 236770, 236771, 236771, 1018, 151, 236909, 5213, 236828, 236786, 236770, 236771, 1018, 147, 236909, 4819, 21119, 532, 9206, 236793, 26576, 4185, 4993, 5058, 607, 12688, 5405, 236761, 1109, 107, 236909, 5213, 236797, 54708, 568, 20918, 7621, 44624, 8096, 62902, 1109, 5213, 236819, 236778, 236786, 236770, 236771, 236771, 1018, 1109, 5213, 236828, 236761, 236832, 236786, 236770, 236771, 1018, 145, 236909, 20467, 9747, 236793, 3188, 9206, 236764, 236743, 236770, 236761, 236828, 236810, 236792, 236862, 199558, 236764, 236743, 236800, 236778, 236771, 236855, 236862, 13822, 13131, 236761, 141, 236909, 107, 236909, 5213, 27671, 37607, 18238, 1018, 140, 236909, 5213, 236832, 236810, 236786, 236770, 236771, 236771, 1018, 151, 236909, 5213, 236810, 236761, 236810, 236786, 236770, 236771, 1018, 145, 236909, 90434, 21119, 236786, 7719, 236793, 9273, 573, 56656, 1161, 840, 2344, 19659, 9747, 236761, 1109, 108, 10354, 5213, 35434, 833, 91330, 66515, 107, 236770, 236761, 5213, 147701, 13864, 1018, 532, 5213, 236797, 54708, 1018, 659, 5213, 3991, 236772, 43289, 79500, 7021, 1018, 568, 7172, 57846, 236743, 236819, 236771, 236764, 9206, 57846, 236743, 236828, 779, 3043, 1091, 7436, 573, 7157, 25755, 12434, 236761, 138, 107, 139, 236772, 18516, 13864, 236858, 236751, 5213, 6796, 236764, 15283, 3004, 1018, 563, 4011, 573, 208288, 3272, 236761, 138, 107, 139, 236772, 646, 54708, 236858, 236751, 5213, 45437, 236772, 9619, 5405, 1018, 568, 4647, 607, 65799, 4033, 8443, 236768, 659, 7516, 573, 16183, 6995, 236761, 138, 108, 236778, 236761, 5213, 27671, 37607, 18238, 1018, 568, 7172, 236743, 236832, 236810, 236764, 9206, 236743, 236810, 236761, 236810, 236768, 563, 5213, 67223, 573, 56656, 1161, 1018, 840, 40826, 506, 9747, 529, 506, 1032, 1156, 236761, 12713, 236772, 4256, 1061, 3004, 607, 3715, 236772, 7172, 7021, 236761, 138, 108, 236800, 236761, 5213, 30255, 217361, 34428, 66515, 138, 107, 139, 236772, 5213, 32663, 66515, 18516, 13864, 568, 6796, 236764, 1494, 21119, 236786, 7719, 236768, 900, 646, 54708, 568, 78885, 236772, 236766, 77558, 236764, 1494, 8827, 769, 138, 107, 139, 236772, 5213, 65757, 66515, 56241, 37607, 18238, 568, 1708, 36989, 653, 36297, 3004, 769, 138, 108, 236812, 236761, 5213, 143389, 7918, 66515, 18516, 13864, 236858, 236751, 5058, 563, 5402, 573, 16960, 568, 109076, 2802, 236764, 132567, 1894, 779, 837, 100146, 1388, 607, 822, 3213, 580, 208288, 3272, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 30923, 3530, 3004, 699, 1239, 7088, 236888, 106, 107, 105, 2364, 107, 26479, 506, 9960, 236764, 5213, 147701, 13864, 1018, 532, 5213, 236797, 54708, 1018, 659, 3582, 28304, 573, 7157, 25755, 12434, 236761, 2282, 59638, 672, 3342, 573, 822, 6029, 2528, 6647, 7694, 236764, 1451, 611, 236787, 236743, 236770, 236761, 5213, 6845, 506, 11338, 30052, 568, 7719, 236768, 529, 3530, 18516, 13864, 6647, 7704, 1018, 568, 236744, 236761, 236759, 1126, 5213, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 71827, 125546, 5213, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 129580, 119542, 531, 5330, 910, 1159, 11134, 4883, 506, 1638, 1494, 9747, 618, 506, 8610, 6782, 236881, 236743, 236778, 236761, 5213, 137938, 506, 1903, 236743, 236800, 1346, 236772, 21903, 236772, 1071, 5405, 580, 646, 54708, 236858, 236751, 3432, 1018, 568, 236744, 236761, 236759, 1126, 16183, 6614, 236764, 65799, 4033, 236772, 4647, 5085, 236768, 1699, 1063, 2883, 1262, 236881, 1174, 1093, 1601, 786, 3213, 580, 910, 1346, 86820, 5417, 573, 208288, 3272, 236761, 1174, 795, 1601, 786, 51808, 990, 532, 5405, 11974, 236764, 17096, 3272, 15474, 607, 506, 1346, 79500, 532, 15283, 3004, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 71827, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236770, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236832, 236764, 623, 1942, 17943, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 34791, 236779, 41427, 1083, 236743, 236800, 236812, 236771, 236771, 236771, 236771, 236764, 623, 47340, 236779, 50257, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 2769, 236761, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 129580, 827, 623, 19645, 236779, 84885, 1083, 236743, 236819, 236778, 236764, 623, 4000, 236779, 15080, 1083, 236743, 236832, 236764, 623, 5455, 236779, 79082, 8562, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 236770, 236761, 18516, 13864, 5375, 4000, 116589, 1018, 138, 107, 8291, 236858, 236751, 506, 1262, 573, 3530, 6647, 1159, 11134, 236787, 138, 108, 236909, 5213, 4163, 1018, 167, 1109, 5213, 31212, 19430, 1018, 1109, 5213, 4163, 30052, 1018, 1109, 5213, 3503, 24118, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 2819, 40686, 236909, 2819, 33129, 236909, 44042, 236909, 2819, 2819, 2819, 2819, 43386, 236909, 107, 236909, 5213, 64446, 1018, 568, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 71827, 236768, 138, 236909, 236743, 236819, 236770, 236786, 236770, 236771, 236771, 150, 236909, 236743, 236832, 236786, 236770, 236771, 146, 236909, 236743, 236770, 236778, 236761, 236810, 236792, 199558, 236764, 236743, 236800, 236812, 236771, 236855, 236862, 10293, 30154, 236764, 236743, 236778, 236761, 236828, 236792, 13822, 13131, 236761, 4819, 9747, 840, 8427, 3718, 9206, 1082, 506, 8610, 49674, 236761, 1109, 107, 236909, 5213, 144131, 1018, 568, 125819, 148637, 236761, 2187, 236786, 33856, 236786, 129580, 236768, 139, 236909, 236743, 236819, 236778, 236786, 236770, 236771, 236771, 150, 236909, 236743, 236832, 236786, 236770, 236771, 146, 236909, 145918, 506, 8610, 236858, 236751, 21119, 236793, 9206, 7474, 9958, 236761, 42841, 5261, 236743, 236778, 236771, 236778, 236810, 236761, 147, 236909, 108, 1018, 30792, 66515, 10508, 1159, 11134, 4883, 5213, 22468, 9747, 1018, 568, 7172, 57846, 236743, 236819, 236770, 236764, 9206, 236743, 236832, 779, 3635, 8427, 3718, 1082, 506, 1689, 8610, 236858, 236751, 9206, 236743, 236828, 236761, 19238, 236764, 901, 659, 6112, 13451, 532, 4547, 8345, 1388, 573, 13128, 56241, 14050, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 646, 54708, 8231, 18238, 1018, 138, 107, 35155, 236764, 506, 1873, 5904, 1677, 5213, 2217, 2847, 60333, 1063, 2883, 1262, 573, 3141, 7704, 1018, 580, 496, 8610, 568, 236744, 236761, 236759, 1126, 2165, 236749, 14243, 236761, 2187, 236786, 66746, 236772, 15081, 236772, 56660, 59395, 669, 5904, 1186, 7623, 19455, 573, 506, 5989, 8610, 20442, 236749, 14243, 236761, 2187, 18833, 653, 3530, 60973, 768, 24473, 131469, 236761, 138, 108, 1018, 8755, 531, 101685, 66515, 138, 107, 236772, 5213, 13733, 236743, 236770, 66515, 2599, 1755, 2426, 3530, 646, 54708, 60973, 768, 611, 735, 1091, 528, 3666, 568, 236744, 236761, 236759, 1126, 2165, 2769, 236761, 236749, 14243, 236761, 2187, 236786, 11480, 236772, 15276, 236772, 111975, 59395, 138, 107, 236772, 5213, 13733, 236743, 236778, 66515, 26922, 646, 54708, 236858, 236751, 4456, 5467, 531, 8701, 910, 1346, 236772, 21903, 5405, 568, 236744, 236761, 236759, 1126, 65799, 4033, 15039, 236764, 2196, 16183, 6614, 236764, 653, 16960, 236772, 41889, 5904, 142637, 769, 138, 107, 236772, 5213, 13733, 236743, 236800, 66515, 6890, 9691, 26395, 6436, 568, 236744, 236761, 236759, 1126, 562, 10507, 236751, 236764, 41662, 85972, 236768, 573, 1063, 2883, 3671, 236764, 840, 1239, 659, 4782, 1041, 1873, 15858, 236761, 138, 108, 7243, 108, 10354, 5213, 201430, 573, 92381, 30235, 1018, 138, 107, 1018, 147701, 13864, 66515, 138, 107, 236772, 22282, 77372, 5213, 64446, 1018, 532, 5213, 144131, 1018, 7704, 568, 7172, 236743, 236819, 236770, 236772, 236819, 236778, 236764, 9206, 236743, 236832, 236768, 573, 91798, 3004, 236761, 138, 107, 236772, 212649, 910, 5213, 109076, 36453, 1018, 568, 15218, 13283, 236768, 573, 208288, 3272, 236761, 138, 108, 1018, 236797, 54708, 66515, 138, 107, 236772, 30235, 580, 5213, 14702, 4033, 236772, 4647, 5405, 1018, 568, 236744, 236761, 236759, 1126, 870, 14702, 4033, 19839, 5457, 2574, 1411, 829, 1075, 236761, 236749, 14243, 236761, 2187, 1223, 532, 5213, 6796, 116929, 1018, 568, 74860, 6112, 12809, 769, 138, 107, 236772, 6890, 910, 5213, 51647, 236772, 88299, 41341, 1018, 568, 236744, 236761, 236759, 1126, 808, 45946, 74484, 17616, 573, 9800, 236772, 991, 16183, 6995, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 786, 531, 2426, 3530, 646, 54708, 60973, 653, 10769, 1239, 5405, 531, 2264, 3432, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 5177, 1610, 6347, 13696, 684, 496, 2263, 9562, 532, 11006, 625, 573, 614, 3489, 15771, 236761, 3792, 236789, 236751, 1502, 684, 67896, 1938, 1003, 496, 9562, 607, 5853, 236743, 236770, 236778, 236800, 1699, 506, 974, 236779, 2003, 236779, 547, 5904, 236761, 1637, 600, 20269, 236764, 2056, 5853, 236743, 236812, 236810, 236825, 5205, 236761, 9920, 692, 735, 506, 9562, 4889, 236764, 2426, 506, 51599, 7606, 14415, 573, 106187, 1024, 506, 2148, 236743, 236810, 2668, 531, 2731, 614, 11690, 15491, 6478, 236761, 1637, 506, 7606, 3831, 7274, 6927, 653, 6934, 27820, 1913, 600, 990, 236764, 6253, 506, 10368, 531, 1586, 506, 1791, 236743, 236800, 236772, 13807, 4771, 236761, 12067, 236764, 8729, 496, 9584, 236743, 236770, 236778, 236772, 18857, 4940, 8918, 573, 1041, 15771, 3432, 1699, 2619, 236779, 7513, 236779, 8707, 236761, 13472, 236764, 7352, 506, 9562, 236858, 236751, 19659, 2258, 699, 640, 12747, 531, 46174, 1699, 120244, 236779, 1071, 236779, 24557, 236761, 1637, 506, 9562, 1262, 4038, 236858, 236745, 3204, 640, 12747, 2979, 236764, 1161, 640, 12747, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 618, 496, 17709, 236761, 3792, 236858, 236751, 3654, 607, 506, 9562, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 190073, 827, 623, 96066, 236779, 1201, 1083, 623, 9822, 210419, 2459, 115679, 827, 623, 3001, 236779, 118983, 1083, 623, 161506, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 827, 623, 202112, 236779, 2861, 1083, 236743, 236800, 236812, 236764, 623, 62671, 236779, 19458, 1083, 623, 35734, 827, 623, 171971, 1083, 623, 7084, 6192, 532, 195004, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 16283, 21888, 236761, 4034, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 8444, 1117, 827, 623, 3255, 1083, 623, 223110, 827, 623, 37673, 1083, 236743, 236812, 236800, 236761, 236825, 236770, 236828, 236832, 236764, 623, 41713, 1083, 753, 236770, 236770, 236825, 236761, 236778, 236770, 236812, 236825, 236764, 623, 78660, 1083, 623, 86658, 5796, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 15905, 3970, 1083, 623, 236828, 236800, 236832, 236771, 236778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 3714, 99883, 1083, 623, 47158, 236786, 8444, 1117, 827, 623, 25441, 1083, 623, 38294, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 41907, 1083, 623, 7783, 586, 130915, 827, 623, 15879, 236779, 11243, 1083, 236743, 236812, 236761, 236770, 236764, 623, 77269, 1083, 236743, 236800, 236828, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236800, 236761, 236828, 236764, 623, 41907, 1083, 623, 22631, 17488, 827, 623, 15879, 236779, 11243, 1083, 236743, 236800, 236761, 236825, 236764, 623, 77269, 1083, 236743, 236800, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236810, 236761, 236770, 236764, 623, 41907, 1083, 623, 96123, 75506, 827, 623, 15879, 236779, 11243, 1083, 236743, 236778, 236761, 236819, 236764, 623, 77269, 1083, 236743, 236800, 236770, 15947, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236746, 236799, 236800, 236865, 236781, 236855, 236819, 236940, 236798, 236809, 236832, 236766, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236750, 1083, 236743, 236770, 236819, 236770, 236764, 623, 236759, 1083, 236743, 236770, 236819, 236770, 236764, 623, 236763, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7723, 1938, 573, 822, 5177, 1610, 2203, 236787, 108, 236770, 236761, 5213, 53162, 103486, 1018, 138, 107, 1018, 1567, 53121, 184663, 14083, 9822, 210419, 2459, 115679, 17616, 138, 107, 1018, 3484, 53121, 640, 12747, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 16130, 46174, 236769, 236770, 236819, 236770, 236764, 236743, 236770, 236819, 236770, 236764, 236743, 236771, 236768, 138, 107, 1018, 22630, 514, 4308, 53121, 236743, 236800, 236812, 138, 107, 1018, 83078, 20273, 53121, 18943, 138, 107, 1018, 54038, 53121, 7607, 6192, 532, 195004, 138, 107, 1018, 9313, 9466, 53121, 870, 190073, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 16283, 21888, 236761, 4034, 236768, 108, 236778, 236761, 5213, 112543, 48901, 27468, 1018, 138, 107, 1018, 6375, 53121, 106187, 236764, 38729, 568, 236812, 236800, 236761, 236825, 236770, 236828, 236832, 237366, 236797, 236764, 753, 236770, 236770, 236825, 236761, 236778, 236770, 236812, 236825, 237366, 236824, 236768, 138, 107, 1018, 17043, 7578, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236770, 236800, 236787, 236771, 236771, 568, 22631, 17488, 236764, 236743, 236778, 236800, 236761, 236828, 237366, 236780, 236764, 236743, 236800, 236761, 236825, 520, 236786, 236751, 6573, 236764, 236743, 236800, 236812, 236908, 31992, 236768, 138, 107, 1018, 93993, 28405, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236778, 236787, 236771, 236771, 236964, 236770, 236812, 236787, 236771, 236771, 568, 7783, 586, 130915, 531, 25179, 3439, 236768, 108, 236800, 236761, 5213, 73094, 12096, 1018, 138, 107, 1018, 46603, 35716, 53121, 2165, 236746, 236799, 236800, 236865, 236781, 236855, 236819, 236940, 236798, 236809, 236832, 236766, 236929, 568, 236770, 236778, 7579, 236764, 9726, 1624, 236764, 16271, 236768, 108, 236812, 236761, 5213, 3484, 67292, 1018, 138, 107, 1018, 161506, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 16130, 46174, 236769, 236770, 236819, 236770, 236764, 236743, 236770, 236819, 236770, 236764, 236743, 236771, 62902, 138, 108, 3243, 6555, 7723, 10428, 236761, 2301, 6927, 30583, 13207, 528, 506, 236743, 236810, 236772, 1496, 14415, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 5177, 1610, 6347, 13696, 684, 496, 2263, 9562, 532, 11006, 625, 573, 614, 3489, 15771, 236761, 3792, 236789, 236751, 1502, 684, 67896, 1938, 1003, 496, 9562, 607, 5853, 236743, 236770, 236778, 236800, 1699, 506, 974, 236779, 2003, 236779, 547, 5904, 236761, 1637, 600, 20269, 236764, 2056, 5853, 236743, 236812, 236810, 236825, 5205, 236761, 9920, 692, 735, 506, 9562, 4889, 236764, 2426, 506, 51599, 7606, 14415, 573, 106187, 1024, 506, 2148, 236743, 236810, 2668, 531, 2731, 614, 11690, 15491, 6478, 236761, 1637, 506, 7606, 3831, 7274, 6927, 653, 6934, 27820, 1913, 600, 990, 236764, 6253, 506, 10368, 531, 1586, 506, 1791, 236743, 236800, 236772, 13807, 4771, 236761, 12067, 236764, 8729, 496, 9584, 236743, 236770, 236778, 236772, 18857, 4940, 8918, 573, 1041, 15771, 3432, 1699, 2619, 236779, 7513, 236779, 8707, 236761, 13472, 236764, 7352, 506, 9562, 236858, 236751, 19659, 2258, 699, 640, 12747, 531, 46174, 1699, 120244, 236779, 1071, 236779, 24557, 236761, 1637, 506, 9562, 1262, 4038, 236858, 236745, 3204, 640, 12747, 2979, 236764, 1161, 640, 12747, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 618, 496, 17709, 236761, 3792, 236858, 236751, 3654, 607, 506, 9562, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 190073, 827, 623, 96066, 236779, 1201, 1083, 623, 9822, 210419, 2459, 115679, 827, 623, 3001, 236779, 118983, 1083, 623, 161506, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 827, 623, 202112, 236779, 2861, 1083, 236743, 236800, 236812, 236764, 623, 62671, 236779, 19458, 1083, 623, 35734, 827, 623, 171971, 1083, 623, 7084, 6192, 532, 195004, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 16283, 21888, 236761, 4034, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 8444, 1117, 827, 623, 3255, 1083, 623, 223110, 827, 623, 37673, 1083, 236743, 236812, 236800, 236761, 236825, 236770, 236828, 236832, 236764, 623, 41713, 1083, 753, 236770, 236770, 236825, 236761, 236778, 236770, 236812, 236825, 236764, 623, 78660, 1083, 623, 86658, 5796, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 15905, 3970, 1083, 623, 236828, 236800, 236832, 236771, 236778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 3714, 99883, 1083, 623, 47158, 236786, 8444, 1117, 827, 623, 25441, 1083, 623, 38294, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 41907, 1083, 623, 7783, 586, 130915, 827, 623, 15879, 236779, 11243, 1083, 236743, 236812, 236761, 236770, 236764, 623, 77269, 1083, 236743, 236800, 236828, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236800, 236761, 236828, 236764, 623, 41907, 1083, 623, 22631, 17488, 827, 623, 15879, 236779, 11243, 1083, 236743, 236800, 236761, 236825, 236764, 623, 77269, 1083, 236743, 236800, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236810, 236761, 236770, 236764, 623, 41907, 1083, 623, 96123, 75506, 827, 623, 15879, 236779, 11243, 1083, 236743, 236778, 236761, 236819, 236764, 623, 77269, 1083, 236743, 236800, 236770, 15947, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236746, 236799, 236800, 236865, 236781, 236855, 236819, 236940, 236798, 236809, 236832, 236766, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236750, 1083, 236743, 236770, 236819, 236770, 236764, 623, 236759, 1083, 236743, 236770, 236819, 236770, 236764, 623, 236763, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7723, 1938, 573, 822, 5177, 1610, 2203, 236787, 108, 236770, 236761, 5213, 53162, 103486, 1018, 138, 107, 1018, 1567, 53121, 184663, 14083, 9822, 210419, 2459, 115679, 17616, 138, 107, 1018, 3484, 53121, 640, 12747, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 16130, 46174, 236769, 236770, 236819, 236770, 236764, 236743, 236770, 236819, 236770, 236764, 236743, 236771, 236768, 138, 107, 1018, 22630, 514, 4308, 53121, 236743, 236800, 236812, 138, 107, 1018, 83078, 20273, 53121, 18943, 138, 107, 1018, 54038, 53121, 7607, 6192, 532, 195004, 138, 107, 1018, 9313, 9466, 53121, 870, 190073, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 16283, 21888, 236761, 4034, 236768, 108, 236778, 236761, 5213, 112543, 48901, 27468, 1018, 138, 107, 1018, 6375, 53121, 106187, 236764, 38729, 568, 236812, 236800, 236761, 236825, 236770, 236828, 236832, 237366, 236797, 236764, 753, 236770, 236770, 236825, 236761, 236778, 236770, 236812, 236825, 237366, 236824, 236768, 138, 107, 1018, 17043, 7578, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236770, 236800, 236787, 236771, 236771, 568, 22631, 17488, 236764, 236743, 236778, 236800, 236761, 236828, 237366, 236780, 236764, 236743, 236800, 236761, 236825, 520, 236786, 236751, 6573, 236764, 236743, 236800, 236812, 236908, 31992, 236768, 138, 107, 1018, 93993, 28405, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236778, 236787, 236771, 236771, 236964, 236770, 236812, 236787, 236771, 236771, 568, 7783, 586, 130915, 531, 25179, 3439, 236768, 108, 236800, 236761, 5213, 73094, 12096, 1018, 138, 107, 1018, 46603, 35716, 53121, 2165, 236746, 236799, 236800, 236865, 236781, 236855, 236819, 236940, 236798, 236809, 236832, 236766, 236929, 568, 236770, 236778, 7579, 236764, 9726, 1624, 236764, 16271, 236768, 108, 236812, 236761, 5213, 3484, 67292, 1018, 138, 107, 1018, 161506, 236769, 236825, 236771, 236764, 236743, 236832, 236771, 10014, 236743, 236810, 236771, 11376, 16130, 46174, 236769, 236770, 236819, 236770, 236764, 236743, 236770, 236819, 236770, 236764, 236743, 236771, 62902, 138, 108, 3243, 6555, 7723, 10428, 236761, 2301, 6927, 30583, 13207, 528, 506, 236743, 236810, 236772, 1496, 14415, 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, 531, 8912, 1041, 861, 1610, 11452, 4456, 2148, 2069, 532, 1202, 531, 5330, 784, 1041, 5177, 14175, 659, 17934, 236761, 5315, 236764, 564, 1461, 611, 531, 1594, 506, 7283, 13199, 573, 1041, 4456, 236789, 236751, 3662, 1183, 236764, 1041, 10365, 9299, 12434, 236764, 532, 1041, 4553, 5941, 236761, 7714, 529, 1239, 3548, 531, 1786, 496, 2404, 2426, 1680, 564, 7162, 607, 7009, 236761, 1637, 1027, 5121, 236764, 611, 1374, 151350, 684, 39919, 506, 6137, 568, 5282, 26182, 699, 24644, 531, 103099, 573, 506, 3662, 1183, 1594, 236768, 532, 544, 2181, 3097, 6595, 236761, 3792, 236789, 236751, 1502, 607, 506, 4456, 3662, 1183, 1594, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 77951, 1083, 1847, 236764, 623, 29263, 1083, 3714, 103416, 236779, 1356, 1083, 236743, 236778, 236810, 236764, 623, 1899, 236779, 3970, 1083, 236743, 236771, 236764, 623, 4243, 2302, 236779, 3456, 1083, 236743, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 77951, 1083, 1847, 236764, 623, 103416, 1083, 623, 236812, 236810, 1356, 827, 623, 4243, 2302, 236779, 3456, 1083, 236743, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 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, 4818, 1083, 623, 10934, 827, 623, 16602, 236779, 4256, 1083, 3714, 11607, 236779, 845, 1083, 3714, 4818, 1083, 623, 37841, 827, 623, 103416, 1083, 623, 236770, 236778, 236771, 1356, 827, 623, 42097, 236779, 3456, 1083, 623, 65941, 827, 623, 4818, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 1263, 623, 29872, 236779, 3677, 1083, 3714, 4818, 1083, 623, 37841, 827, 623, 103416, 1083, 623, 236828, 236810, 1356, 827, 623, 4818, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 1263, 623, 6774, 236779, 6458, 1083, 3714, 4818, 1083, 623, 37841, 827, 623, 103416, 1083, 623, 236812, 236810, 1356, 827, 623, 4818, 236779, 3970, 1083, 236743, 236778, 236810, 236771, 5237, 623, 6011, 1083, 3714, 712, 236779, 15897, 236779, 214144, 1083, 1847, 236764, 623, 62353, 236779, 4636, 1083, 11058, 52804, 3662, 1183, 49231, 16821, 47763, 827, 623, 81933, 10365, 9299, 3136, 11649, 1935, 1807, 106, 107, 105, 4368, 107, 3243, 1806, 7283, 13199, 735, 6915, 910, 2404, 17507, 10428, 236787, 108, 236770, 236761, 5213, 42475, 13948, 5959, 66515, 236743, 107, 139, 236772, 18365, 236787, 35005, 568, 65941, 16433, 236768, 107, 139, 236772, 14777, 1895, 236787, 236743, 236770, 236778, 236771, 1356, 107, 139, 236772, 24644, 18365, 8739, 236787, 236743, 236778, 236771, 236771, 108, 236778, 236761, 5213, 42809, 9299, 43645, 66515, 107, 139, 236772, 18365, 236787, 35005, 107, 139, 236772, 14777, 1895, 236787, 236743, 236828, 236810, 1356, 107, 139, 236772, 24644, 18365, 8739, 236787, 236743, 236778, 236771, 236771, 108, 236800, 236761, 5213, 11919, 15335, 66515, 107, 139, 236772, 18365, 236787, 35005, 107, 139, 236772, 14777, 1895, 236787, 236743, 236812, 236810, 1356, 107, 139, 236772, 155786, 18365, 8739, 236787, 236743, 236778, 236810, 236771, 108, 1018, 201430, 66515, 107, 236772, 26295, 506, 49231, 16821, 47763, 3433, 573, 506, 3662, 1183, 568, 65941, 236768, 107, 236772, 66636, 10365, 9299, 3136, 11649, 531, 5330, 23226, 18544, 108, 3243, 3019, 659, 17934, 532, 5508, 573, 822, 7009, 8912, 236761, 21284, 611, 1133, 786, 531, 2121, 1027, 4767, 7713, 653, 2847, 13049, 573, 1239, 2536, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8912, 1041, 861, 1610, 11452, 4456, 2148, 2069, 532, 1202, 531, 5330, 784, 1041, 5177, 14175, 659, 17934, 236761, 5315, 236764, 564, 1461, 611, 531, 1594, 506, 7283, 13199, 573, 1041, 4456, 236789, 236751, 3662, 1183, 236764, 1041, 10365, 9299, 12434, 236764, 532, 1041, 4553, 5941, 236761, 7714, 529, 1239, 3548, 531, 1786, 496, 2404, 2426, 1680, 564, 7162, 607, 7009, 236761, 1637, 1027, 5121, 236764, 611, 1374, 151350, 684, 39919, 506, 6137, 568, 5282, 26182, 699, 24644, 531, 103099, 573, 506, 3662, 1183, 1594, 236768, 532, 544, 2181, 3097, 6595, 236761, 3792, 236789, 236751, 1502, 607, 506, 4456, 3662, 1183, 1594, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 77951, 1083, 1847, 236764, 623, 29263, 1083, 3714, 103416, 236779, 1356, 1083, 236743, 236778, 236810, 236764, 623, 1899, 236779, 3970, 1083, 236743, 236771, 236764, 623, 4243, 2302, 236779, 3456, 1083, 236743, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 77951, 1083, 1847, 236764, 623, 103416, 1083, 623, 236812, 236810, 1356, 827, 623, 4243, 2302, 236779, 3456, 1083, 236743, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 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, 4818, 1083, 623, 10934, 827, 623, 16602, 236779, 4256, 1083, 3714, 11607, 236779, 845, 1083, 3714, 4818, 1083, 623, 37841, 827, 623, 103416, 1083, 623, 236770, 236778, 236771, 1356, 827, 623, 42097, 236779, 3456, 1083, 623, 65941, 827, 623, 4818, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 1263, 623, 29872, 236779, 3677, 1083, 3714, 4818, 1083, 623, 37841, 827, 623, 103416, 1083, 623, 236828, 236810, 1356, 827, 623, 4818, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 1263, 623, 6774, 236779, 6458, 1083, 3714, 4818, 1083, 623, 37841, 827, 623, 103416, 1083, 623, 236812, 236810, 1356, 827, 623, 4818, 236779, 3970, 1083, 236743, 236778, 236810, 236771, 5237, 623, 6011, 1083, 3714, 712, 236779, 15897, 236779, 214144, 1083, 1847, 236764, 623, 62353, 236779, 4636, 1083, 11058, 52804, 3662, 1183, 49231, 16821, 47763, 827, 623, 81933, 10365, 9299, 3136, 11649, 1935, 1807, 106, 107, 105, 4368, 107, 3243, 1806, 7283, 13199, 735, 6915, 910, 2404, 17507, 10428, 236787, 108, 236770, 236761, 5213, 42475, 13948, 5959, 66515, 236743, 107, 139, 236772, 18365, 236787, 35005, 568, 65941, 16433, 236768, 107, 139, 236772, 14777, 1895, 236787, 236743, 236770, 236778, 236771, 1356, 107, 139, 236772, 24644, 18365, 8739, 236787, 236743, 236778, 236771, 236771, 108, 236778, 236761, 5213, 42809, 9299, 43645, 66515, 107, 139, 236772, 18365, 236787, 35005, 107, 139, 236772, 14777, 1895, 236787, 236743, 236828, 236810, 1356, 107, 139, 236772, 24644, 18365, 8739, 236787, 236743, 236778, 236771, 236771, 108, 236800, 236761, 5213, 11919, 15335, 66515, 107, 139, 236772, 18365, 236787, 35005, 107, 139, 236772, 14777, 1895, 236787, 236743, 236812, 236810, 1356, 107, 139, 236772, 155786, 18365, 8739, 236787, 236743, 236778, 236810, 236771, 108, 1018, 201430, 66515, 107, 236772, 26295, 506, 49231, 16821, 47763, 3433, 573, 506, 3662, 1183, 568, 65941, 236768, 107, 236772, 66636, 10365, 9299, 3136, 11649, 531, 5330, 23226, 18544, 108, 3243, 3019, 659, 17934, 532, 5508, 573, 822, 7009, 8912, 236761, 21284, 611, 1133, 786, 531, 2121, 1027, 4767, 7713, 653, 2847, 13049, 573, 1239, 2536, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 5039, 496, 5663, 25417, 531, 496, 15083, 528, 136257, 236764, 25657, 573, 1041, 12441, 4598, 236761, 564, 735, 910, 3421, 840, 506, 7905, 5889, 236789, 236745, 9155, 237028, 8960, 623, 894, 733, 14402, 39061, 236775, 573, 506, 3207, 236761, 5315, 236764, 564, 1202, 506, 20058, 17253, 573, 600, 4453, 7905, 236761, 4298, 236764, 564, 236789, 859, 1161, 506, 1171, 20058, 3393, 699, 506, 2536, 531, 18855, 910, 5154, 1548, 32156, 236812, 236828, 236743, 236810, 236771, 236771, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 236768, 2338, 564, 1202, 531, 9128, 506, 3433, 4323, 2246, 236761, 2024, 768, 506, 20058, 3393, 3927, 7623, 5017, 236764, 1537, 236789, 236745, 26760, 41483, 506, 1548, 237028, 4017, 3442, 786, 625, 8428, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 38548, 1083, 11058, 236800, 236770, 236772, 236771, 236771, 236771, 827, 623, 236800, 236770, 236772, 236771, 236771, 236770, 827, 623, 236800, 236770, 236772, 236771, 236771, 236778, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 4818, 1083, 623, 4730, 827, 623, 14801, 1083, 623, 114966, 827, 623, 14801, 236779, 3970, 1083, 623, 5672, 827, 623, 5640, 1083, 10955, 236812, 236828, 236810, 236771, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 7125, 1083, 623, 236855, 5055, 572, 236764, 137841, 25657, 15792, 648, 4182, 1837, 827, 623, 82506, 1083, 623, 51512, 135306, 827, 623, 1257, 236779, 2084, 1083, 623, 23104, 25938, 106, 107, 105, 4368, 107, 818, 20058, 17253, 573, 842, 733, 14402, 39061, 7905, 528, 136257, 659, 236787, 5213, 236800, 236770, 236772, 236771, 236771, 236771, 125546, 5213, 236800, 236770, 236772, 236771, 236771, 236770, 125546, 532, 5213, 236800, 236770, 236772, 236771, 236771, 236778, 84750, 138, 108, 818, 5154, 1548, 5213, 236862, 236812, 236828, 236743, 236810, 236771, 236771, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1018, 815, 1010, 44526, 10428, 236787, 138, 107, 236772, 5213, 6717, 66515, 30638, 138, 107, 236772, 5213, 6375, 66515, 136257, 236764, 137841, 25657, 15792, 648, 4182, 1837, 138, 107, 236772, 5213, 113096, 66515, 23770, 135306, 138, 107, 236772, 5213, 4539, 9250, 66515, 18424, 138, 108, 3048, 740, 7162, 607, 15656, 506, 5663, 25417, 1699, 506, 1171, 20058, 3393, 167043, 236800, 236770, 236772, 236771, 236771, 236771, 119542, 532, 9128, 506, 12441, 3433, 4323, 506, 44526, 5154, 1548, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 5039, 496, 5663, 25417, 531, 496, 15083, 528, 136257, 236764, 25657, 573, 1041, 12441, 4598, 236761, 564, 735, 910, 3421, 840, 506, 7905, 5889, 236789, 236745, 9155, 237028, 8960, 623, 894, 733, 14402, 39061, 236775, 573, 506, 3207, 236761, 5315, 236764, 564, 1202, 506, 20058, 17253, 573, 600, 4453, 7905, 236761, 4298, 236764, 564, 236789, 859, 1161, 506, 1171, 20058, 3393, 699, 506, 2536, 531, 18855, 910, 5154, 1548, 32156, 236812, 236828, 236743, 236810, 236771, 236771, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 236768, 2338, 564, 1202, 531, 9128, 506, 3433, 4323, 2246, 236761, 2024, 768, 506, 20058, 3393, 3927, 7623, 5017, 236764, 1537, 236789, 236745, 26760, 41483, 506, 1548, 237028, 4017, 3442, 786, 625, 8428, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 38548, 1083, 11058, 236800, 236770, 236772, 236771, 236771, 236771, 827, 623, 236800, 236770, 236772, 236771, 236771, 236770, 827, 623, 236800, 236770, 236772, 236771, 236771, 236778, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 4818, 1083, 623, 4730, 827, 623, 14801, 1083, 623, 114966, 827, 623, 14801, 236779, 3970, 1083, 623, 5672, 827, 623, 5640, 1083, 10955, 236812, 236828, 236810, 236771, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 7125, 1083, 623, 236855, 5055, 572, 236764, 137841, 25657, 15792, 648, 4182, 1837, 827, 623, 82506, 1083, 623, 51512, 135306, 827, 623, 1257, 236779, 2084, 1083, 623, 23104, 25938, 106, 107, 105, 4368, 107, 818, 20058, 17253, 573, 842, 733, 14402, 39061, 7905, 528, 136257, 659, 236787, 5213, 236800, 236770, 236772, 236771, 236771, 236771, 125546, 5213, 236800, 236770, 236772, 236771, 236771, 236770, 125546, 532, 5213, 236800, 236770, 236772, 236771, 236771, 236778, 84750, 138, 108, 818, 5154, 1548, 5213, 236862, 236812, 236828, 236743, 236810, 236771, 236771, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1018, 815, 1010, 44526, 10428, 236787, 138, 107, 236772, 5213, 6717, 66515, 30638, 138, 107, 236772, 5213, 6375, 66515, 136257, 236764, 137841, 25657, 15792, 648, 4182, 1837, 138, 107, 236772, 5213, 113096, 66515, 23770, 135306, 138, 107, 236772, 5213, 4539, 9250, 66515, 18424, 138, 108, 3048, 740, 7162, 607, 15656, 506, 5663, 25417, 1699, 506, 1171, 20058, 3393, 167043, 236800, 236770, 236772, 236771, 236771, 236771, 119542, 532, 9128, 506, 12441, 3433, 4323, 506, 44526, 5154, 1548, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236761, 564, 236858, 236757, 64451, 496, 21811, 1610, 25659, 3489, 2148, 2069, 236764, 532, 506, 24564, 2434, 6950, 506, 7548, 44701, 573, 506, 2460, 236858, 236751, 90099, 3432, 815, 1010, 79198, 236762, 236761, 3199, 611, 1594, 506, 9299, 27347, 532, 12562, 8487, 4249, 573, 506, 5058, 236881, 1191, 236858, 500, 1699, 506, 31466, 808, 3677, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 236829, 532, 1202, 531, 5330, 993, 659, 951, 51534, 4342, 653, 9825, 1913, 42290, 236761, 3551, 2434, 236858, 236751, 44055, 580, 672, 531, 1657, 29201, 236764, 532, 564, 236858, 236753, 17554, 573, 8330, 4078, 531, 128549, 1023, 41496, 236761, 3792, 786, 1281, 506, 4981, 532, 1027, 15136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 4218, 236779, 10934, 827, 623, 103416, 236779, 29263, 1083, 3714, 28128, 236779, 6275, 236779, 2289, 236779, 1356, 1083, 236743, 236812, 236810, 236771, 236764, 623, 2074, 236779, 6275, 236779, 2289, 236779, 1356, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 4764, 236779, 2861, 1083, 236743, 236770, 236771, 236771, 1263, 623, 21850, 1083, 3714, 6725, 236779, 21850, 1083, 236743, 236778, 236764, 623, 1899, 236779, 9846, 1083, 11058, 236810, 236771, 236800, 6007, 162779, 827, 623, 13688, 152254, 623, 63764, 29707, 1083, 3714, 138097, 1083, 623, 122926, 827, 623, 94606, 33506, 18063, 1083, 11058, 17140, 5603, 7444, 37003, 827, 623, 27932, 44701, 49231, 110209, 51534, 14255, 623, 85038, 847, 1083, 11058, 84869, 7948, 5603, 7444, 2425, 827, 623, 78109, 3711, 41346, 573, 7548, 44701, 10512, 827, 623, 52804, 49231, 16821, 110209, 3736, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 2181, 236779, 547, 1083, 623, 228503, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 4218, 236779, 10934, 827, 623, 52230, 1083, 623, 3677, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 827, 623, 2181, 236779, 2084, 1083, 623, 2400, 236779, 23046, 827, 623, 12103, 1083, 3714, 138097, 1083, 3714, 4818, 1083, 623, 5034, 827, 623, 103416, 1083, 3714, 28128, 1083, 623, 236812, 236778, 236771, 1356, 827, 623, 236758, 236819, 236810, 1083, 623, 236770, 236778, 236771, 236771, 1356, 827, 623, 1020, 14493, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236812, 236810, 236953, 1935, 5237, 623, 31408, 236779, 23046, 1083, 3714, 143542, 1083, 623, 236770, 236812, 236761, 236778, 9310, 236786, 4706, 827, 623, 21850, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236770, 236953, 827, 623, 1899, 236779, 2084, 1083, 623, 30447, 827, 623, 4375, 1083, 623, 27932, 44701, 3072, 27791, 104128, 236770, 236810, 236751, 22730, 623, 91664, 236779, 113718, 1083, 11058, 71733, 236779, 21862, 827, 623, 24471, 236779, 78362, 99471, 1604, 623, 63764, 29707, 1083, 3714, 3864, 236779, 15516, 236779, 11138, 1083, 3714, 2349, 1854, 1083, 623, 236828, 236778, 70887, 623, 12429, 236779, 2289, 1083, 623, 236825, 236771, 236771, 236772, 236828, 236771, 236771, 1356, 23179, 623, 24471, 236779, 42446, 1083, 3714, 6275, 236779, 2289, 1083, 3714, 1387, 1083, 623, 236778, 236771, 236771, 1356, 827, 623, 2074, 1083, 623, 236770, 236810, 236778, 236771, 236771, 1356, 827, 623, 88319, 1083, 11058, 13238, 51534, 1913, 12539, 8487, 1935, 1807, 112679, 623, 85038, 847, 1083, 11058, 59070, 7548, 44701, 12434, 531, 6060, 57952, 827, 623, 84869, 7948, 5603, 7444, 2425, 827, 623, 78109, 8659, 70216, 3759, 573, 7548, 194600, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4981, 532, 15136, 2721, 580, 1023, 21381, 7713, 573, 14017, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 236787, 108, 1018, 3503, 99652, 53121, 107, 236770, 236761, 5213, 144023, 53121, 236743, 107, 139, 236772, 29748, 3072, 990, 529, 236743, 236812, 236810, 236771, 1356, 568, 48031, 840, 607, 57952, 872, 531, 236743, 236770, 236778, 236771, 236771, 1356, 236768, 107, 139, 236772, 236743, 236778, 6749, 9825, 1913, 7257, 236787, 623, 236810, 236771, 236800, 6007, 162779, 236775, 532, 27791, 4342, 107, 139, 236772, 23260, 5603, 7444, 37003, 13207, 568, 236828, 236778, 236908, 30846, 607, 236743, 236825, 236771, 236771, 236772, 236828, 236771, 236771, 1356, 4491, 2782, 236768, 108, 236778, 236761, 5213, 17704, 39244, 53121, 107, 139, 236772, 114283, 53350, 529, 236743, 236770, 236812, 236761, 236778, 10512, 236786, 8556, 107, 139, 236772, 35032, 44701, 9763, 27791, 9825, 1913, 12539, 8487, 568, 1048, 531, 236743, 236770, 236810, 236772, 8556, 30583, 236768, 107, 139, 236772, 49231, 110209, 51534, 21574, 7548, 36605, 5552, 108, 1018, 89740, 91330, 53121, 107, 236770, 236761, 5213, 110613, 57354, 53121, 107, 139, 236772, 46532, 7948, 5603, 7444, 2425, 684, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 531, 6060, 34818, 16788, 107, 139, 236772, 41276, 8659, 70216, 3759, 531, 5001, 156881, 31164, 1913, 7548, 194600, 108, 236778, 236761, 5213, 52277, 62840, 53121, 107, 139, 236772, 136381, 7548, 44701, 12434, 3393, 531, 6060, 2864, 57952, 107, 139, 236772, 4140, 3711, 41346, 573, 7548, 44701, 10512, 107, 139, 236772, 26295, 236786, 10143, 49231, 35065, 531, 6439, 110209, 51534, 108, 236800, 236761, 5213, 3695, 236772, 3500, 55163, 53121, 107, 139, 236772, 41696, 5013, 7257, 607, 236743, 236778, 236772, 236800, 236781, 4275, 12562, 5542, 107, 139, 236772, 66636, 7948, 24968, 9831, 107, 139, 236772, 5803, 90104, 7548, 4615, 1913, 44701, 101990, 108, 1018, 229806, 16575, 53121, 236743, 107, 818, 5058, 563, 5633, 10828, 840, 657, 4652, 529, 42290, 31164, 1913, 8827, 23338, 236761, 138610, 506, 15136, 568, 38279, 7948, 24968, 532, 8659, 114344, 236768, 1374, 14245, 236743, 236819, 236771, 236908, 529, 3435, 4342, 1680, 822, 2460, 236761, 108, 38786, 611, 1133, 786, 531, 2847, 8330, 13049, 573, 1239, 15136, 531, 4024, 607, 822, 2913, 2434, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13868, 3671, 236761, 8438, 236764, 5091, 2847, 506, 8330, 13049, 573, 1724, 15136, 237028, 38279, 506, 7948, 24968, 532, 8659, 70216, 8688, 236761, 3551, 24564, 14896, 2434, 815, 496, 19788, 1015, 740, 6060, 506, 44975, 30981, 236764, 840, 901, 236858, 859, 1202, 3582, 6555, 236761, 6542, 236764, 1451, 611, 3204, 11808, 573, 506, 5013, 7257, 236881, 1191, 1461, 531, 43928, 1494, 8827, 1680, 506, 2460, 236761, 64747, 236764, 768, 2653, 236764, 1138, 496, 60218, 573, 11734, 49231, 35065, 237028, 700, 2434, 5889, 236858, 236745, 618, 8330, 236764, 834, 496, 32741, 8214, 1093, 1601, 1091, 5571, 1774, 236772, 20353, 4342, 236761, 2009, 192716, 822, 1601, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8330, 13049, 13957, 573, 822, 2434, 236787, 108, 7243, 108, 236865, 5213, 5820, 665, 4585, 89273, 9299, 62840, 15308, 1018, 108, 1408, 5213, 236770, 236761, 23260, 140930, 91330, 1018, 107, 1018, 66748, 53121, 27618, 7444, 37003, 657, 236743, 236828, 236778, 236908, 30846, 138, 107, 1018, 36819, 53121, 46532, 5603, 7444, 2425, 684, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 108, 10354, 5213, 46048, 50228, 1018, 107, 1018, 2542, 127764, 568, 3091, 119642, 1473, 1018, 107, 2717, 6719, 107, 236865, 12579, 5603, 7444, 7846, 528, 822, 8005, 236792, 3957, 107, 19072, 578, 2619, 236779, 19072, 236769, 107, 140, 236789, 107798, 1411, 2364, 236787, 8707, 236940, 17294, 236786, 121676, 963, 107, 140, 11138, 236779, 2086, 236784, 236778, 236771, 236764, 144, 236865, 19367, 563, 236743, 236810, 753, 3553, 684, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 107, 140, 2074, 236779, 39294, 236784, 236770, 236771, 236764, 141, 236865, 36851, 236743, 236770, 236771, 4767, 13792, 1913, 57952, 107, 140, 11138, 236779, 30447, 236784, 236800, 236771, 142, 236865, 65600, 699, 3678, 236743, 236800, 236771, 236751, 531, 5121, 4592, 107, 236768, 107, 2717, 108, 1018, 2542, 45949, 568, 3091, 50282, 7846, 1473, 1018, 107, 2717, 6719, 107, 236865, 7846, 236761, 2551, 107, 36553, 3066, 98860, 578, 642, 107, 140, 236789, 6665, 2632, 642, 107, 144, 236789, 95096, 2632, 756, 30975, 236761, 3864, 236761, 121360, 236761, 27614, 963, 107, 144, 236789, 11415, 2632, 756, 17993, 236779, 3864, 963, 107, 144, 236789, 20791, 2632, 756, 2364, 963, 107, 144, 236789, 57369, 2632, 756, 4373, 963, 107, 144, 236789, 42447, 2632, 756, 17294, 963, 107, 144, 236789, 11029, 2632, 756, 236800, 236800, 236771, 236825, 963, 107, 144, 236789, 235355, 236779, 13740, 236779, 6409, 2632, 236743, 236825, 236771, 236771, 236764, 138, 236865, 46532, 699, 3678, 236743, 236771, 107, 144, 236789, 75767, 2632, 642, 107, 148, 236789, 2949, 236779, 7674, 2632, 623, 10108, 146877, 2631, 236779, 64660, 578, 236743, 236810, 236771, 236771, 827, 107, 144, 236783, 107, 140, 236783, 107, 236783, 107, 2717, 108, 7243, 108, 1408, 5213, 236778, 236761, 26816, 8489, 4555, 50698, 1018, 107, 1018, 66748, 53121, 35032, 44701, 194600, 1913, 12539, 8487, 138, 107, 1018, 36819, 53121, 41276, 8659, 70216, 3759, 607, 90104, 108, 10354, 5213, 32651, 14691, 568, 3091, 2165, 1571, 4489, 236929, 9427, 1473, 1018, 107, 2717, 42422, 107, 36240, 4476, 145102, 107, 2717, 108, 2717, 6719, 107, 2543, 145102, 1419, 568, 107, 140, 56653, 236764, 236743, 107, 140, 11412, 236779, 9900, 236779, 59078, 236764, 236743, 107, 140, 12429, 236779, 112460, 236764, 107, 140, 56653, 236779, 584, 236779, 26049, 236779, 2084, 107, 236768, 107, 2543, 10512, 236761, 64336, 1419, 120635, 236764, 27618, 3494, 108, 236940, 56653, 236769, 107, 140, 11412, 236784, 11412, 236779, 9900, 236779, 59078, 236769, 236800, 779, 107, 140, 12429, 236784, 12429, 236779, 112460, 236769, 122277, 236784, 236770, 236764, 2631, 236784, 236770, 236771, 779, 107, 140, 56653, 236784, 56653, 236779, 584, 236779, 26049, 236779, 2084, 3283, 13688, 236764, 27618, 3494, 8914, 107, 140, 9900, 236784, 3485, 52312, 236779, 3255, 236787, 2212, 236779, 47817, 236769, 56653, 236779, 3255, 236768, 107, 236768, 107, 2063, 1657, 236779, 24471, 236769, 2400, 236779, 1516, 1473, 107, 140, 236865, 5180, 6330, 7548, 8487, 3393, 107, 140, 6275, 578, 10512, 236761, 3274, 236769, 107, 144, 236789, 2574, 1411, 3677, 236761, 24471, 52548, 236761, 854, 236786, 10690, 963, 107, 144, 3723, 236784, 2400, 236779, 1516, 236764, 107, 144, 30447, 236784, 236810, 138, 236865, 95495, 27791, 107, 140, 236768, 107, 140, 2060, 3072, 236761, 3723, 825, 108, 2063, 2212, 236779, 47817, 236769, 56653, 236779, 3255, 1473, 107, 140, 1995, 236769, 236760, 236775, 27932, 8428, 236787, 642, 56653, 236779, 3255, 236761, 78676, 236761, 26049, 208187, 107, 140, 236865, 16175, 1942, 236787, 52616, 573, 12040, 8487, 107, 140, 9037, 236779, 1071, 236779, 56653, 236779, 15204, 236769, 56653, 236779, 3255, 236761, 5985, 236840, 236771, 2812, 107, 2717, 108, 7243, 108, 1408, 5213, 236800, 236761, 43378, 33582, 59902, 1018, 107, 1018, 7741, 53121, 870, 4202, 707, 5457, 2574, 1411, 3022, 707, 236761, 897, 31004, 568, 7084, 236772, 6265, 3711, 7257, 236768, 108, 10354, 5213, 3694, 23273, 20442, 3022, 707, 2164, 236761, 2551, 236929, 1473, 1018, 107, 2717, 6719, 107, 2543, 176447, 1419, 16697, 2887, 236764, 4209, 236764, 1534, 107, 1106, 4940, 108, 1999, 89273, 2887, 236769, 7004, 2887, 1473, 107, 140, 12429, 236779, 2289, 578, 1534, 236769, 236771, 236761, 236810, 236764, 236743, 236778, 236768, 138, 236865, 204164, 236743, 236771, 236761, 236810, 236772, 236778, 1855, 20312, 107, 140, 107, 140, 236940, 8071, 107, 140, 2063, 42290, 236769, 1508, 1473, 107, 144, 25839, 578, 642, 107, 148, 236775, 7633, 1083, 78493, 5930, 236779, 547, 1083, 4940, 236761, 17005, 60522, 104309, 236770, 236778, 236800, 827, 623, 1166, 18115, 694, 236812, 236810, 236825, 101724, 623, 22111, 1083, 236743, 236770, 104960, 107, 148, 236775, 24471, 236779, 8889, 1083, 623, 31443, 236779, 6307, 827, 107, 148, 236775, 2364, 236779, 547, 1083, 4940, 236761, 33156, 236769, 236770, 236771, 236771, 236771, 236764, 236743, 236819, 236819, 236819, 236819, 236768, 107, 144, 236783, 107, 144, 1508, 236761, 5586, 236761, 3274, 8215, 236766, 236778, 236786, 71733, 827, 8373, 236784, 25839, 236768, 107, 144, 107, 140, 236940, 8071, 236769, 236800, 236768, 138, 236865, 236743, 236800, 236781, 919, 17597, 1082, 42290, 107, 140, 2063, 1698, 236779, 48656, 236769, 1508, 1473, 107, 144, 1508, 236761, 5586, 236761, 828, 8215, 236766, 236778, 236786, 17870, 236786, 104309, 236770, 236778, 236800, 1373, 107, 2717, 108, 10354, 5213, 44793, 50228, 53121, 107, 236770, 236761, 18471, 224156, 236787, 107, 2717, 42422, 107, 36240, 4476, 176447, 107, 2717, 107, 236778, 236761, 9793, 1594, 236787, 107, 2717, 42422, 107, 3022, 707, 753, 236760, 176447, 2164, 236761, 2551, 107, 2717, 107, 236800, 236761, 23170, 10739, 236787, 2165, 2855, 1411, 3677, 236761, 4873, 665, 661, 236761, 2187, 236929, 107, 236812, 236761, 9187, 607, 236743, 236770, 236771, 236771, 5089, 236764, 28954, 872, 531, 236743, 236810, 236771, 236771, 1024, 236743, 236810, 4310, 108, 7243, 108, 1408, 5213, 236812, 236761, 49231, 36591, 45325, 82811, 1018, 107, 1018, 2542, 10645, 236772, 58972, 103717, 1018, 108, 10354, 5213, 42362, 58711, 568, 236810, 4310, 1473, 1018, 107, 236770, 236761, 5213, 157456, 6809, 53121, 107, 139, 236772, 6890, 870, 48767, 167345, 13474, 5457, 2574, 1411, 2769, 236761, 43766, 41588, 2683, 236761, 854, 236786, 43766, 236772, 101228, 236761, 3185, 236768, 107, 139, 236772, 10152, 2165, 3677, 236761, 4873, 665, 661, 236761, 2187, 236929, 107, 139, 236772, 64063, 47763, 3433, 1890, 236743, 236800, 236771, 2668, 3121, 108, 236778, 236761, 5213, 66190, 35211, 53121, 107, 139, 236772, 11738, 623, 6845, 49231, 36591, 236775, 4309, 107, 139, 236772, 66636, 623, 66190, 35211, 236775, 3831, 3826, 2426, 16151, 108, 10354, 5213, 58972, 50698, 568, 1708, 9757, 236751, 1473, 1018, 107, 2717, 42422, 107, 236865, 7179, 16821, 24473, 107, 59818, 2942, 1123, 236810, 236771, 236819, 753, 495, 965, 2337, 236786, 1071, 236786, 18289, 236761, 86168, 753, 1005, 753, 1904, 725, 108, 236865, 19500, 606, 607, 3792, 236789, 236751, 27080, 8867, 236787, 107, 49629, 5382, 9610, 12495, 2617, 51686, 236772, 4503, 138, 236865, 5803, 6282, 236772, 213812, 107, 2717, 108, 10354, 5213, 17961, 1804, 37827, 53121, 107, 236770, 236761, 6890, 870, 48767, 1787, 140725, 26295, 5457, 2574, 1411, 5846, 236761, 854, 236786, 236760, 1625, 949, 165416, 236786, 43766, 236772, 181103, 236768, 107, 236778, 236761, 55486, 4553, 236786, 88622, 51679, 4323, 236787, 107, 2717, 40435, 107, 236865, 3957, 236761, 40435, 107, 133624, 236787, 107, 138, 236772, 21811, 661, 236761, 2187, 107, 34436, 236787, 236743, 236770, 236812, 138, 236865, 27613, 1680, 101510, 107, 87441, 236787, 107, 138, 6774, 236787, 2434, 236940, 4873, 665, 661, 236761, 2187, 107, 2717, 108, 7243, 108, 1408, 5213, 17667, 3946, 236772, 3500, 82811, 1018, 107, 236772, 870, 4422, 23260, 7444, 2425, 4869, 568, 2181, 5603, 11649, 236768, 107, 236772, 870, 4422, 26816, 70216, 29866, 531, 3719, 107, 236772, 870, 4422, 43378, 1594, 7723, 607, 236743, 236810, 236771, 236771, 34818, 5089, 107, 236772, 870, 4422, 49231, 6282, 236772, 213812, 28331, 607, 51679, 107, 236772, 870, 4422, 16175, 1942, 7548, 1996, 31037, 573, 21736, 108, 38786, 611, 1133, 786, 531, 2847, 496, 16553, 3567, 529, 672, 13049, 653, 1601, 1076, 872, 11734, 148407, 573, 506, 2434, 236881, 106, 107, 105, 2364, 107, 54133, 237028, 55153, 611, 573, 35447, 672, 834, 8207, 236761, 7323, 5039, 506, 16553, 3567, 531, 2434, 236940, 4873, 665, 661, 236761, 2187, 236764, 532, 11262, 236764, 1531, 236858, 236751, 1076, 872, 496, 6079, 11734, 36112, 573, 506, 9299, 532, 7548, 44701, 236761, 669, 24564, 2434, 795, 1202, 1759, 236772, 2289, 27820, 1131, 169179, 532, 12562, 2630, 6224, 1913, 506, 2460, 236761, 1701, 506, 36112, 236764, 740, 611, 3600, 496, 5904, 600, 236858, 236751, 3735, 531, 26955, 532, 4024, 607, 1908, 236772, 79205, 5089, 236881, 6542, 236764, 768, 611, 1451, 1138, 496, 886, 236772, 4000, 61153, 10988, 573, 506, 21736, 12804, 49231, 17507, 568, 4017, 506, 10298, 52047, 779, 600, 1093, 5383, 775, 990, 236761, 2009, 192716, 822, 31245, 607, 784, 1239, 10512, 236888, 106, 107, 105, 4368, 107, 1018, 236777, 236789, 859, 11006, 506, 16553, 13049, 532, 11734, 10884, 8214, 6842, 236761, 5715, 236789, 236751, 1144, 564, 236789, 859, 3204, 53121, 108, 7243, 108, 10354, 5213, 236770, 236761, 45325, 59825, 111506, 1018, 107, 1018, 7741, 53121, 870, 236836, 55199, 61579, 5457, 2574, 1411, 24779, 7420, 151724, 236761, 854, 31004, 900, 870, 65994, 10597, 749, 55199, 5457, 2574, 1411, 46511, 9607, 236761, 854, 236786, 223244, 236768, 138, 107, 1018, 11355, 53121, 138, 107, 236772, 9617, 30028, 12765, 236743, 236810, 236771, 37845, 607, 4553, 236786, 88622, 51679, 138, 107, 236772, 10170, 236772, 2289, 4981, 3104, 4024, 742, 4323, 3205, 568, 1904, 14209, 3149, 236768, 138, 107, 236772, 17983, 10884, 607, 1164, 614, 9299, 31466, 10739, 138, 108, 1018, 42736, 50228, 53121, 138, 107, 236770, 236761, 8600, 2196, 2881, 657, 870, 236836, 55199, 61579, 5457, 2574, 1411, 24779, 7420, 151724, 236761, 854, 31004, 138, 107, 236778, 236761, 4140, 7020, 573, 236787, 138, 107, 139, 236772, 5213, 10252, 107890, 53121, 2165, 2574, 1411, 3677, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 236929, 138, 107, 139, 236772, 5213, 27932, 56827, 53121, 2165, 2574, 1411, 3677, 236761, 24471, 52548, 236761, 854, 236786, 10690, 236929, 138, 107, 236800, 236761, 5833, 9690, 64470, 236787, 138, 107, 139, 236772, 14503, 990, 1890, 236743, 236770, 236771, 236771, 236771, 1356, 138, 107, 139, 236772, 220344, 764, 12032, 1890, 236743, 236770, 9641, 138, 107, 236812, 236761, 19148, 36112, 236787, 138, 107, 139, 236772, 6890, 623, 6717, 11338, 236775, 4926, 16130, 19148, 3205, 236787, 2165, 2574, 1411, 4818, 236761, 4873, 665, 661, 236761, 2187, 236929, 138, 108, 1018, 2542, 27239, 116589, 568, 43983, 1473, 1018, 138, 107, 10896, 870, 140767, 1925, 9274, 5457, 2574, 1411, 1555, 236761, 119584, 1925, 236761, 2187, 31004, 607, 672, 877, 25089, 7930, 236787, 138, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 547, 1083, 236743, 236770, 236771, 236778, 236828, 236770, 236764, 107, 138, 236775, 30948, 1083, 623, 2855, 236772, 3677, 236772, 4256, 827, 107, 138, 236775, 3250, 1083, 623, 22005, 9299, 7179, 827, 107, 138, 236775, 19112, 1083, 11058, 2855, 827, 623, 3677, 827, 623, 223244, 14255, 107, 138, 236775, 7777, 1083, 623, 11620, 24644, 4981, 17253, 236764, 51534, 236764, 532, 169179, 236775, 107, 236783, 107, 2717, 108, 7243, 108, 10354, 5213, 236778, 236761, 49231, 36591, 45325, 200975, 42060, 1018, 138, 107, 1018, 218799, 25735, 26623, 1018, 138, 108, 236909, 5213, 6804, 1018, 152, 236909, 5213, 59881, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 40686, 236909, 2819, 2819, 2819, 2819, 40673, 236909, 107, 236909, 5213, 42362, 7179, 1018, 146, 236909, 236743, 236770, 236761, 3764, 531, 870, 48767, 167345, 13474, 5457, 2574, 1411, 2769, 236761, 43766, 41588, 2683, 236761, 854, 236786, 43766, 236772, 101228, 236761, 3185, 236768, 138, 236909, 107, 236909, 161, 236909, 236743, 236778, 236761, 10152, 2165, 3677, 236761, 4873, 665, 661, 236761, 2187, 236929, 16130, 11738, 623, 6845, 49231, 36591, 236775, 149, 236909, 107, 236909, 5213, 157456, 1018, 147, 236909, 113452, 64063, 623, 199702, 2154, 236775, 3433, 563, 1890, 236800, 236771, 2668, 699, 3124, 160, 236909, 107, 236909, 5213, 66190, 35211, 1018, 140, 236909, 113452, 11696, 573, 623, 66190, 35211, 236775, 3336, 607, 3826, 2426, 16151, 149, 236909, 107, 236909, 5213, 110613, 10659, 114314, 1018, 1109, 236743, 245180, 1637, 47763, 655, 236832, 2668, 653, 7797, 9825, 3196, 16130, 19955, 5213, 17470, 236940, 4873, 665, 661, 236761, 2187, 1018, 1109, 108, 7243, 108, 10354, 5213, 236800, 236761, 16553, 69759, 57070, 1018, 138, 107, 11069, 16553, 795, 3204, 236787, 138, 107, 236770, 236761, 10456, 8330, 8214, 568, 18624, 24968, 236764, 8659, 114344, 236764, 5013, 7257, 236768, 138, 107, 236778, 236761, 45325, 36112, 10884, 11808, 138, 107, 236800, 236761, 49231, 61153, 10988, 568, 161139, 886, 236772, 131663, 236768, 138, 107, 236812, 236761, 3946, 236772, 5106, 60218, 607, 15323, 4981, 14479, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 564, 236789, 859, 8729, 506, 16553, 1492, 568, 236770, 236772, 236778, 4310, 236768, 138, 107, 236772, 21284, 611, 1133, 786, 531, 236787, 138, 107, 138, 236770, 236761, 39525, 496, 6463, 3205, 573, 506, 16553, 138, 107, 138, 236778, 236761, 20373, 625, 5467, 531, 2434, 236940, 4873, 665, 661, 236761, 2187, 568, 29891, 607, 623, 26915, 1373, 138, 107, 138, 236800, 236761, 19148, 11734, 36112, 23693, 4323, 4553, 236881, 138, 108, 6481, 786, 1281, 822, 24104, 532, 564, 236789, 859, 6060, 506, 1884, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 236858, 236757, 64451, 496, 21811, 1610, 25659, 3489, 2148, 2069, 236764, 532, 506, 24564, 2434, 6950, 506, 7548, 44701, 573, 506, 2460, 236858, 236751, 90099, 3432, 815, 1010, 79198, 236762, 236761, 3199, 611, 1594, 506, 9299, 27347, 532, 12562, 8487, 4249, 573, 506, 5058, 236881, 1191, 236858, 500, 1699, 506, 31466, 808, 3677, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 236829, 532, 1202, 531, 5330, 993, 659, 951, 51534, 4342, 653, 9825, 1913, 42290, 236761, 3551, 2434, 236858, 236751, 44055, 580, 672, 531, 1657, 29201, 236764, 532, 564, 236858, 236753, 17554, 573, 8330, 4078, 531, 128549, 1023, 41496, 236761, 3792, 786, 1281, 506, 4981, 532, 1027, 15136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 4218, 236779, 10934, 827, 623, 103416, 236779, 29263, 1083, 3714, 28128, 236779, 6275, 236779, 2289, 236779, 1356, 1083, 236743, 236812, 236810, 236771, 236764, 623, 2074, 236779, 6275, 236779, 2289, 236779, 1356, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 4764, 236779, 2861, 1083, 236743, 236770, 236771, 236771, 1263, 623, 21850, 1083, 3714, 6725, 236779, 21850, 1083, 236743, 236778, 236764, 623, 1899, 236779, 9846, 1083, 11058, 236810, 236771, 236800, 6007, 162779, 827, 623, 13688, 152254, 623, 63764, 29707, 1083, 3714, 138097, 1083, 623, 122926, 827, 623, 94606, 33506, 18063, 1083, 11058, 17140, 5603, 7444, 37003, 827, 623, 27932, 44701, 49231, 110209, 51534, 14255, 623, 85038, 847, 1083, 11058, 84869, 7948, 5603, 7444, 2425, 827, 623, 78109, 3711, 41346, 573, 7548, 44701, 10512, 827, 623, 52804, 49231, 16821, 110209, 3736, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 2181, 236779, 547, 1083, 623, 228503, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 4218, 236779, 10934, 827, 623, 52230, 1083, 623, 3677, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 827, 623, 2181, 236779, 2084, 1083, 623, 2400, 236779, 23046, 827, 623, 12103, 1083, 3714, 138097, 1083, 3714, 4818, 1083, 623, 5034, 827, 623, 103416, 1083, 3714, 28128, 1083, 623, 236812, 236778, 236771, 1356, 827, 623, 236758, 236819, 236810, 1083, 623, 236770, 236778, 236771, 236771, 1356, 827, 623, 1020, 14493, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236812, 236810, 236953, 1935, 5237, 623, 31408, 236779, 23046, 1083, 3714, 143542, 1083, 623, 236770, 236812, 236761, 236778, 9310, 236786, 4706, 827, 623, 21850, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236770, 236953, 827, 623, 1899, 236779, 2084, 1083, 623, 30447, 827, 623, 4375, 1083, 623, 27932, 44701, 3072, 27791, 104128, 236770, 236810, 236751, 22730, 623, 91664, 236779, 113718, 1083, 11058, 71733, 236779, 21862, 827, 623, 24471, 236779, 78362, 99471, 1604, 623, 63764, 29707, 1083, 3714, 3864, 236779, 15516, 236779, 11138, 1083, 3714, 2349, 1854, 1083, 623, 236828, 236778, 70887, 623, 12429, 236779, 2289, 1083, 623, 236825, 236771, 236771, 236772, 236828, 236771, 236771, 1356, 23179, 623, 24471, 236779, 42446, 1083, 3714, 6275, 236779, 2289, 1083, 3714, 1387, 1083, 623, 236778, 236771, 236771, 1356, 827, 623, 2074, 1083, 623, 236770, 236810, 236778, 236771, 236771, 1356, 827, 623, 88319, 1083, 11058, 13238, 51534, 1913, 12539, 8487, 1935, 1807, 112679, 623, 85038, 847, 1083, 11058, 59070, 7548, 44701, 12434, 531, 6060, 57952, 827, 623, 84869, 7948, 5603, 7444, 2425, 827, 623, 78109, 8659, 70216, 3759, 573, 7548, 194600, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4981, 532, 15136, 2721, 580, 1023, 21381, 7713, 573, 14017, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 236787, 108, 1018, 3503, 99652, 53121, 107, 236770, 236761, 5213, 144023, 53121, 236743, 107, 139, 236772, 29748, 3072, 990, 529, 236743, 236812, 236810, 236771, 1356, 568, 48031, 840, 607, 57952, 872, 531, 236743, 236770, 236778, 236771, 236771, 1356, 236768, 107, 139, 236772, 236743, 236778, 6749, 9825, 1913, 7257, 236787, 623, 236810, 236771, 236800, 6007, 162779, 236775, 532, 27791, 4342, 107, 139, 236772, 23260, 5603, 7444, 37003, 13207, 568, 236828, 236778, 236908, 30846, 607, 236743, 236825, 236771, 236771, 236772, 236828, 236771, 236771, 1356, 4491, 2782, 236768, 108, 236778, 236761, 5213, 17704, 39244, 53121, 107, 139, 236772, 114283, 53350, 529, 236743, 236770, 236812, 236761, 236778, 10512, 236786, 8556, 107, 139, 236772, 35032, 44701, 9763, 27791, 9825, 1913, 12539, 8487, 568, 1048, 531, 236743, 236770, 236810, 236772, 8556, 30583, 236768, 107, 139, 236772, 49231, 110209, 51534, 21574, 7548, 36605, 5552, 108, 1018, 89740, 91330, 53121, 107, 236770, 236761, 5213, 110613, 57354, 53121, 107, 139, 236772, 46532, 7948, 5603, 7444, 2425, 684, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 531, 6060, 34818, 16788, 107, 139, 236772, 41276, 8659, 70216, 3759, 531, 5001, 156881, 31164, 1913, 7548, 194600, 108, 236778, 236761, 5213, 52277, 62840, 53121, 107, 139, 236772, 136381, 7548, 44701, 12434, 3393, 531, 6060, 2864, 57952, 107, 139, 236772, 4140, 3711, 41346, 573, 7548, 44701, 10512, 107, 139, 236772, 26295, 236786, 10143, 49231, 35065, 531, 6439, 110209, 51534, 108, 236800, 236761, 5213, 3695, 236772, 3500, 55163, 53121, 107, 139, 236772, 41696, 5013, 7257, 607, 236743, 236778, 236772, 236800, 236781, 4275, 12562, 5542, 107, 139, 236772, 66636, 7948, 24968, 9831, 107, 139, 236772, 5803, 90104, 7548, 4615, 1913, 44701, 101990, 108, 1018, 229806, 16575, 53121, 236743, 107, 818, 5058, 563, 5633, 10828, 840, 657, 4652, 529, 42290, 31164, 1913, 8827, 23338, 236761, 138610, 506, 15136, 568, 38279, 7948, 24968, 532, 8659, 114344, 236768, 1374, 14245, 236743, 236819, 236771, 236908, 529, 3435, 4342, 1680, 822, 2460, 236761, 108, 38786, 611, 1133, 786, 531, 2847, 8330, 13049, 573, 1239, 15136, 531, 4024, 607, 822, 2913, 2434, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13868, 3671, 236761, 8438, 236764, 5091, 2847, 506, 8330, 13049, 573, 1724, 15136, 237028, 38279, 506, 7948, 24968, 532, 8659, 70216, 8688, 236761, 3551, 24564, 14896, 2434, 815, 496, 19788, 1015, 740, 6060, 506, 44975, 30981, 236764, 840, 901, 236858, 859, 1202, 3582, 6555, 236761, 6542, 236764, 1451, 611, 3204, 11808, 573, 506, 5013, 7257, 236881, 1191, 1461, 531, 43928, 1494, 8827, 1680, 506, 2460, 236761, 64747, 236764, 768, 2653, 236764, 1138, 496, 60218, 573, 11734, 49231, 35065, 237028, 700, 2434, 5889, 236858, 236745, 618, 8330, 236764, 834, 496, 32741, 8214, 1093, 1601, 1091, 5571, 1774, 236772, 20353, 4342, 236761, 2009, 192716, 822, 1601, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8330, 13049, 13957, 573, 822, 2434, 236787, 108, 7243, 108, 236865, 5213, 5820, 665, 4585, 89273, 9299, 62840, 15308, 1018, 108, 1408, 5213, 236770, 236761, 23260, 140930, 91330, 1018, 107, 1018, 66748, 53121, 27618, 7444, 37003, 657, 236743, 236828, 236778, 236908, 30846, 138, 107, 1018, 36819, 53121, 46532, 5603, 7444, 2425, 684, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 108, 10354, 5213, 46048, 50228, 1018, 107, 1018, 2542, 127764, 568, 3091, 119642, 1473, 1018, 107, 2717, 6719, 107, 236865, 12579, 5603, 7444, 7846, 528, 822, 8005, 236792, 3957, 107, 19072, 578, 2619, 236779, 19072, 236769, 107, 140, 236789, 107798, 1411, 2364, 236787, 8707, 236940, 17294, 236786, 121676, 963, 107, 140, 11138, 236779, 2086, 236784, 236778, 236771, 236764, 144, 236865, 19367, 563, 236743, 236810, 753, 3553, 684, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 107, 140, 2074, 236779, 39294, 236784, 236770, 236771, 236764, 141, 236865, 36851, 236743, 236770, 236771, 4767, 13792, 1913, 57952, 107, 140, 11138, 236779, 30447, 236784, 236800, 236771, 142, 236865, 65600, 699, 3678, 236743, 236800, 236771, 236751, 531, 5121, 4592, 107, 236768, 107, 2717, 108, 1018, 2542, 45949, 568, 3091, 50282, 7846, 1473, 1018, 107, 2717, 6719, 107, 236865, 7846, 236761, 2551, 107, 36553, 3066, 98860, 578, 642, 107, 140, 236789, 6665, 2632, 642, 107, 144, 236789, 95096, 2632, 756, 30975, 236761, 3864, 236761, 121360, 236761, 27614, 963, 107, 144, 236789, 11415, 2632, 756, 17993, 236779, 3864, 963, 107, 144, 236789, 20791, 2632, 756, 2364, 963, 107, 144, 236789, 57369, 2632, 756, 4373, 963, 107, 144, 236789, 42447, 2632, 756, 17294, 963, 107, 144, 236789, 11029, 2632, 756, 236800, 236800, 236771, 236825, 963, 107, 144, 236789, 235355, 236779, 13740, 236779, 6409, 2632, 236743, 236825, 236771, 236771, 236764, 138, 236865, 46532, 699, 3678, 236743, 236771, 107, 144, 236789, 75767, 2632, 642, 107, 148, 236789, 2949, 236779, 7674, 2632, 623, 10108, 146877, 2631, 236779, 64660, 578, 236743, 236810, 236771, 236771, 827, 107, 144, 236783, 107, 140, 236783, 107, 236783, 107, 2717, 108, 7243, 108, 1408, 5213, 236778, 236761, 26816, 8489, 4555, 50698, 1018, 107, 1018, 66748, 53121, 35032, 44701, 194600, 1913, 12539, 8487, 138, 107, 1018, 36819, 53121, 41276, 8659, 70216, 3759, 607, 90104, 108, 10354, 5213, 32651, 14691, 568, 3091, 2165, 1571, 4489, 236929, 9427, 1473, 1018, 107, 2717, 42422, 107, 36240, 4476, 145102, 107, 2717, 108, 2717, 6719, 107, 2543, 145102, 1419, 568, 107, 140, 56653, 236764, 236743, 107, 140, 11412, 236779, 9900, 236779, 59078, 236764, 236743, 107, 140, 12429, 236779, 112460, 236764, 107, 140, 56653, 236779, 584, 236779, 26049, 236779, 2084, 107, 236768, 107, 2543, 10512, 236761, 64336, 1419, 120635, 236764, 27618, 3494, 108, 236940, 56653, 236769, 107, 140, 11412, 236784, 11412, 236779, 9900, 236779, 59078, 236769, 236800, 779, 107, 140, 12429, 236784, 12429, 236779, 112460, 236769, 122277, 236784, 236770, 236764, 2631, 236784, 236770, 236771, 779, 107, 140, 56653, 236784, 56653, 236779, 584, 236779, 26049, 236779, 2084, 3283, 13688, 236764, 27618, 3494, 8914, 107, 140, 9900, 236784, 3485, 52312, 236779, 3255, 236787, 2212, 236779, 47817, 236769, 56653, 236779, 3255, 236768, 107, 236768, 107, 2063, 1657, 236779, 24471, 236769, 2400, 236779, 1516, 1473, 107, 140, 236865, 5180, 6330, 7548, 8487, 3393, 107, 140, 6275, 578, 10512, 236761, 3274, 236769, 107, 144, 236789, 2574, 1411, 3677, 236761, 24471, 52548, 236761, 854, 236786, 10690, 963, 107, 144, 3723, 236784, 2400, 236779, 1516, 236764, 107, 144, 30447, 236784, 236810, 138, 236865, 95495, 27791, 107, 140, 236768, 107, 140, 2060, 3072, 236761, 3723, 825, 108, 2063, 2212, 236779, 47817, 236769, 56653, 236779, 3255, 1473, 107, 140, 1995, 236769, 236760, 236775, 27932, 8428, 236787, 642, 56653, 236779, 3255, 236761, 78676, 236761, 26049, 208187, 107, 140, 236865, 16175, 1942, 236787, 52616, 573, 12040, 8487, 107, 140, 9037, 236779, 1071, 236779, 56653, 236779, 15204, 236769, 56653, 236779, 3255, 236761, 5985, 236840, 236771, 2812, 107, 2717, 108, 7243, 108, 1408, 5213, 236800, 236761, 43378, 33582, 59902, 1018, 107, 1018, 7741, 53121, 870, 4202, 707, 5457, 2574, 1411, 3022, 707, 236761, 897, 31004, 568, 7084, 236772, 6265, 3711, 7257, 236768, 108, 10354, 5213, 3694, 23273, 20442, 3022, 707, 2164, 236761, 2551, 236929, 1473, 1018, 107, 2717, 6719, 107, 2543, 176447, 1419, 16697, 2887, 236764, 4209, 236764, 1534, 107, 1106, 4940, 108, 1999, 89273, 2887, 236769, 7004, 2887, 1473, 107, 140, 12429, 236779, 2289, 578, 1534, 236769, 236771, 236761, 236810, 236764, 236743, 236778, 236768, 138, 236865, 204164, 236743, 236771, 236761, 236810, 236772, 236778, 1855, 20312, 107, 140, 107, 140, 236940, 8071, 107, 140, 2063, 42290, 236769, 1508, 1473, 107, 144, 25839, 578, 642, 107, 148, 236775, 7633, 1083, 78493, 5930, 236779, 547, 1083, 4940, 236761, 17005, 60522, 104309, 236770, 236778, 236800, 827, 623, 1166, 18115, 694, 236812, 236810, 236825, 101724, 623, 22111, 1083, 236743, 236770, 104960, 107, 148, 236775, 24471, 236779, 8889, 1083, 623, 31443, 236779, 6307, 827, 107, 148, 236775, 2364, 236779, 547, 1083, 4940, 236761, 33156, 236769, 236770, 236771, 236771, 236771, 236764, 236743, 236819, 236819, 236819, 236819, 236768, 107, 144, 236783, 107, 144, 1508, 236761, 5586, 236761, 3274, 8215, 236766, 236778, 236786, 71733, 827, 8373, 236784, 25839, 236768, 107, 144, 107, 140, 236940, 8071, 236769, 236800, 236768, 138, 236865, 236743, 236800, 236781, 919, 17597, 1082, 42290, 107, 140, 2063, 1698, 236779, 48656, 236769, 1508, 1473, 107, 144, 1508, 236761, 5586, 236761, 828, 8215, 236766, 236778, 236786, 17870, 236786, 104309, 236770, 236778, 236800, 1373, 107, 2717, 108, 10354, 5213, 44793, 50228, 53121, 107, 236770, 236761, 18471, 224156, 236787, 107, 2717, 42422, 107, 36240, 4476, 176447, 107, 2717, 107, 236778, 236761, 9793, 1594, 236787, 107, 2717, 42422, 107, 3022, 707, 753, 236760, 176447, 2164, 236761, 2551, 107, 2717, 107, 236800, 236761, 23170, 10739, 236787, 2165, 2855, 1411, 3677, 236761, 4873, 665, 661, 236761, 2187, 236929, 107, 236812, 236761, 9187, 607, 236743, 236770, 236771, 236771, 5089, 236764, 28954, 872, 531, 236743, 236810, 236771, 236771, 1024, 236743, 236810, 4310, 108, 7243, 108, 1408, 5213, 236812, 236761, 49231, 36591, 45325, 82811, 1018, 107, 1018, 2542, 10645, 236772, 58972, 103717, 1018, 108, 10354, 5213, 42362, 58711, 568, 236810, 4310, 1473, 1018, 107, 236770, 236761, 5213, 157456, 6809, 53121, 107, 139, 236772, 6890, 870, 48767, 167345, 13474, 5457, 2574, 1411, 2769, 236761, 43766, 41588, 2683, 236761, 854, 236786, 43766, 236772, 101228, 236761, 3185, 236768, 107, 139, 236772, 10152, 2165, 3677, 236761, 4873, 665, 661, 236761, 2187, 236929, 107, 139, 236772, 64063, 47763, 3433, 1890, 236743, 236800, 236771, 2668, 3121, 108, 236778, 236761, 5213, 66190, 35211, 53121, 107, 139, 236772, 11738, 623, 6845, 49231, 36591, 236775, 4309, 107, 139, 236772, 66636, 623, 66190, 35211, 236775, 3831, 3826, 2426, 16151, 108, 10354, 5213, 58972, 50698, 568, 1708, 9757, 236751, 1473, 1018, 107, 2717, 42422, 107, 236865, 7179, 16821, 24473, 107, 59818, 2942, 1123, 236810, 236771, 236819, 753, 495, 965, 2337, 236786, 1071, 236786, 18289, 236761, 86168, 753, 1005, 753, 1904, 725, 108, 236865, 19500, 606, 607, 3792, 236789, 236751, 27080, 8867, 236787, 107, 49629, 5382, 9610, 12495, 2617, 51686, 236772, 4503, 138, 236865, 5803, 6282, 236772, 213812, 107, 2717, 108, 10354, 5213, 17961, 1804, 37827, 53121, 107, 236770, 236761, 6890, 870, 48767, 1787, 140725, 26295, 5457, 2574, 1411, 5846, 236761, 854, 236786, 236760, 1625, 949, 165416, 236786, 43766, 236772, 181103, 236768, 107, 236778, 236761, 55486, 4553, 236786, 88622, 51679, 4323, 236787, 107, 2717, 40435, 107, 236865, 3957, 236761, 40435, 107, 133624, 236787, 107, 138, 236772, 21811, 661, 236761, 2187, 107, 34436, 236787, 236743, 236770, 236812, 138, 236865, 27613, 1680, 101510, 107, 87441, 236787, 107, 138, 6774, 236787, 2434, 236940, 4873, 665, 661, 236761, 2187, 107, 2717, 108, 7243, 108, 1408, 5213, 17667, 3946, 236772, 3500, 82811, 1018, 107, 236772, 870, 4422, 23260, 7444, 2425, 4869, 568, 2181, 5603, 11649, 236768, 107, 236772, 870, 4422, 26816, 70216, 29866, 531, 3719, 107, 236772, 870, 4422, 43378, 1594, 7723, 607, 236743, 236810, 236771, 236771, 34818, 5089, 107, 236772, 870, 4422, 49231, 6282, 236772, 213812, 28331, 607, 51679, 107, 236772, 870, 4422, 16175, 1942, 7548, 1996, 31037, 573, 21736, 108, 38786, 611, 1133, 786, 531, 2847, 496, 16553, 3567, 529, 672, 13049, 653, 1601, 1076, 872, 11734, 148407, 573, 506, 2434, 236881, 106, 107, 105, 2364, 107, 54133, 237028, 55153, 611, 573, 35447, 672, 834, 8207, 236761, 7323, 5039, 506, 16553, 3567, 531, 2434, 236940, 4873, 665, 661, 236761, 2187, 236764, 532, 11262, 236764, 1531, 236858, 236751, 1076, 872, 496, 6079, 11734, 36112, 573, 506, 9299, 532, 7548, 44701, 236761, 669, 24564, 2434, 795, 1202, 1759, 236772, 2289, 27820, 1131, 169179, 532, 12562, 2630, 6224, 1913, 506, 2460, 236761, 1701, 506, 36112, 236764, 740, 611, 3600, 496, 5904, 600, 236858, 236751, 3735, 531, 26955, 532, 4024, 607, 1908, 236772, 79205, 5089, 236881, 6542, 236764, 768, 611, 1451, 1138, 496, 886, 236772, 4000, 61153, 10988, 573, 506, 21736, 12804, 49231, 17507, 568, 4017, 506, 10298, 52047, 779, 600, 1093, 5383, 775, 990, 236761, 2009, 192716, 822, 31245, 607, 784, 1239, 10512, 236888, 106, 107, 105, 4368, 107, 1018, 236777, 236789, 859, 11006, 506, 16553, 13049, 532, 11734, 10884, 8214, 6842, 236761, 5715, 236789, 236751, 1144, 564, 236789, 859, 3204, 53121, 108, 7243, 108, 10354, 5213, 236770, 236761, 45325, 59825, 111506, 1018, 107, 1018, 7741, 53121, 870, 236836, 55199, 61579, 5457, 2574, 1411, 24779, 7420, 151724, 236761, 854, 31004, 900, 870, 65994, 10597, 749, 55199, 5457, 2574, 1411, 46511, 9607, 236761, 854, 236786, 223244, 236768, 138, 107, 1018, 11355, 53121, 138, 107, 236772, 9617, 30028, 12765, 236743, 236810, 236771, 37845, 607, 4553, 236786, 88622, 51679, 138, 107, 236772, 10170, 236772, 2289, 4981, 3104, 4024, 742, 4323, 3205, 568, 1904, 14209, 3149, 236768, 138, 107, 236772, 17983, 10884, 607, 1164, 614, 9299, 31466, 10739, 138, 108, 1018, 42736, 50228, 53121, 138, 107, 236770, 236761, 8600, 2196, 2881, 657, 870, 236836, 55199, 61579, 5457, 2574, 1411, 24779, 7420, 151724, 236761, 854, 31004, 138, 107, 236778, 236761, 4140, 7020, 573, 236787, 138, 107, 139, 236772, 5213, 10252, 107890, 53121, 2165, 2574, 1411, 3677, 236761, 4873, 665, 661, 236761, 2187, 236786, 236766, 236778, 236929, 138, 107, 139, 236772, 5213, 27932, 56827, 53121, 2165, 2574, 1411, 3677, 236761, 24471, 52548, 236761, 854, 236786, 10690, 236929, 138, 107, 236800, 236761, 5833, 9690, 64470, 236787, 138, 107, 139, 236772, 14503, 990, 1890, 236743, 236770, 236771, 236771, 236771, 1356, 138, 107, 139, 236772, 220344, 764, 12032, 1890, 236743, 236770, 9641, 138, 107, 236812, 236761, 19148, 36112, 236787, 138, 107, 139, 236772, 6890, 623, 6717, 11338, 236775, 4926, 16130, 19148, 3205, 236787, 2165, 2574, 1411, 4818, 236761, 4873, 665, 661, 236761, 2187, 236929, 138, 108, 1018, 2542, 27239, 116589, 568, 43983, 1473, 1018, 138, 107, 10896, 870, 140767, 1925, 9274, 5457, 2574, 1411, 1555, 236761, 119584, 1925, 236761, 2187, 31004, 607, 672, 877, 25089, 7930, 236787, 138, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 547, 1083, 236743, 236770, 236771, 236778, 236828, 236770, 236764, 107, 138, 236775, 30948, 1083, 623, 2855, 236772, 3677, 236772, 4256, 827, 107, 138, 236775, 3250, 1083, 623, 22005, 9299, 7179, 827, 107, 138, 236775, 19112, 1083, 11058, 2855, 827, 623, 3677, 827, 623, 223244, 14255, 107, 138, 236775, 7777, 1083, 623, 11620, 24644, 4981, 17253, 236764, 51534, 236764, 532, 169179, 236775, 107, 236783, 107, 2717, 108, 7243, 108, 10354, 5213, 236778, 236761, 49231, 36591, 45325, 200975, 42060, 1018, 138, 107, 1018, 218799, 25735, 26623, 1018, 138, 108, 236909, 5213, 6804, 1018, 152, 236909, 5213, 59881, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 40686, 236909, 2819, 2819, 2819, 2819, 40673, 236909, 107, 236909, 5213, 42362, 7179, 1018, 146, 236909, 236743, 236770, 236761, 3764, 531, 870, 48767, 167345, 13474, 5457, 2574, 1411, 2769, 236761, 43766, 41588, 2683, 236761, 854, 236786, 43766, 236772, 101228, 236761, 3185, 236768, 138, 236909, 107, 236909, 161, 236909, 236743, 236778, 236761, 10152, 2165, 3677, 236761, 4873, 665, 661, 236761, 2187, 236929, 16130, 11738, 623, 6845, 49231, 36591, 236775, 149, 236909, 107, 236909, 5213, 157456, 1018, 147, 236909, 113452, 64063, 623, 199702, 2154, 236775, 3433, 563, 1890, 236800, 236771, 2668, 699, 3124, 160, 236909, 107, 236909, 5213, 66190, 35211, 1018, 140, 236909, 113452, 11696, 573, 623, 66190, 35211, 236775, 3336, 607, 3826, 2426, 16151, 149, 236909, 107, 236909, 5213, 110613, 10659, 114314, 1018, 1109, 236743, 245180, 1637, 47763, 655, 236832, 2668, 653, 7797, 9825, 3196, 16130, 19955, 5213, 17470, 236940, 4873, 665, 661, 236761, 2187, 1018, 1109, 108, 7243, 108, 10354, 5213, 236800, 236761, 16553, 69759, 57070, 1018, 138, 107, 11069, 16553, 795, 3204, 236787, 138, 107, 236770, 236761, 10456, 8330, 8214, 568, 18624, 24968, 236764, 8659, 114344, 236764, 5013, 7257, 236768, 138, 107, 236778, 236761, 45325, 36112, 10884, 11808, 138, 107, 236800, 236761, 49231, 61153, 10988, 568, 161139, 886, 236772, 131663, 236768, 138, 107, 236812, 236761, 3946, 236772, 5106, 60218, 607, 15323, 4981, 14479, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 564, 236789, 859, 8729, 506, 16553, 1492, 568, 236770, 236772, 236778, 4310, 236768, 138, 107, 236772, 21284, 611, 1133, 786, 531, 236787, 138, 107, 138, 236770, 236761, 39525, 496, 6463, 3205, 573, 506, 16553, 138, 107, 138, 236778, 236761, 20373, 625, 5467, 531, 2434, 236940, 4873, 665, 661, 236761, 2187, 568, 29891, 607, 623, 26915, 1373, 138, 107, 138, 236800, 236761, 19148, 11734, 36112, 23693, 4323, 4553, 236881, 138, 108, 6481, 786, 1281, 822, 24104, 532, 564, 236789, 859, 6060, 506, 1884, 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, 49231, 35065, 573, 1041, 3399, 15653, 3988, 4456, 532, 506, 24564, 22238, 236761, 5315, 236764, 16807, 506, 1689, 3432, 236789, 236751, 16821, 532, 1531, 786, 1281, 768, 625, 236789, 236751, 4341, 236761, 1637, 625, 563, 236764, 7162, 531, 2426, 506, 24564, 22238, 236789, 236751, 49231, 236761, 1637, 711, 236764, 564, 1202, 531, 3421, 506, 1689, 4186, 1680, 6049, 580, 236761, 5715, 659, 506, 26104, 236787, 3399, 661, 1166, 7703, 10790, 8759, 236761, 2187, 573, 506, 1689, 3432, 532, 24564, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 573, 506, 22238, 236761, 7323, 1502, 607, 506, 1689, 3432, 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, 66011, 1083, 623, 46456, 8538, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 827, 623, 4730, 1083, 1847, 236764, 623, 209063, 1083, 623, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 827, 623, 4730, 236779, 2543, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4730, 236779, 1071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236800, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 137759, 1083, 11058, 99280, 236766, 236770, 236761, 236778, 827, 623, 99280, 236766, 236770, 236761, 236800, 14255, 623, 29321, 1083, 11058, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 827, 116508, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 14255, 623, 11205, 236779, 20714, 1083, 3714, 56815, 236779, 49494, 236779, 11205, 1083, 623, 2074, 236772, 676, 236784, 236800, 236770, 236810, 236800, 236825, 236771, 236771, 236771, 236793, 3204, 5096, 160523, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 19645, 1083, 623, 46456, 1689, 3432, 8610, 756, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236789, 840, 4461, 24564, 22238, 8610, 756, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 35773, 19465, 106, 107, 105, 4368, 107, 818, 1689, 3432, 236789, 236751, 49231, 16821, 563, 4341, 532, 9668, 28331, 236761, 5715, 236789, 236751, 506, 9813, 25890, 236787, 108, 1018, 7765, 20103, 36591, 568, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 1473, 1018, 107, 236772, 113452, 217692, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 236743, 247182, 238178, 173609, 236787, 3792, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 107, 236772, 236743, 252067, 184790, 107425, 236787, 79691, 236766, 236770, 236761, 236778, 236764, 79691, 236766, 236770, 236761, 236800, 107, 236772, 236743, 246978, 49953, 85406, 236787, 10508, 5989, 532, 107120, 1159, 133624, 107, 236772, 236743, 247182, 238178, 12096, 77497, 236787, 640, 143063, 28331, 607, 236743, 236770, 236772, 3704, 2631, 236772, 676, 108, 9675, 236764, 564, 26109, 614, 2802, 23712, 1056, 26813, 531, 2426, 506, 24564, 22238, 236761, 669, 1458, 1186, 5862, 17507, 573, 506, 5989, 8610, 623, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 532, 11802, 203366, 17507, 573, 5052, 7483, 236761, 2282, 16807, 506, 24564, 22238, 236789, 236751, 49231, 9831, 236764, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 41152, 506, 203366, 88048, 15195, 531, 506, 5941, 107, 236778, 236761, 64063, 506, 16821, 5132, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 528, 1061, 49953, 2135, 107, 236800, 236761, 14066, 1699, 496, 11554, 49231, 80062, 5904, 573, 203366, 18256, 108, 38786, 611, 1133, 786, 531, 1601, 607, 1027, 3530, 10217, 529, 506, 1689, 3432, 236789, 236751, 9831, 653, 5052, 18907, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 25890, 236888, 5612, 506, 24564, 22238, 2426, 691, 19188, 236764, 1451, 611, 2056, 614, 9302, 4313, 236881, 20778, 2426, 506, 24564, 22238, 236789, 236751, 49231, 1699, 496, 1607, 1996, 653, 5904, 600, 4038, 236789, 236745, 735, 672, 203366, 26919, 236881, 1637, 600, 236789, 236751, 711, 2653, 236764, 7463, 1601, 786, 16807, 506, 16821, 4889, 24473, 1343, 46972, 8735, 653, 3600, 496, 108581, 531, 9128, 506, 203366, 236789, 236751, 5052, 9831, 236881, 106, 107, 105, 4368, 107, 236777, 3050, 822, 4561, 1003, 92578, 506, 24564, 22238, 236789, 236751, 5052, 236761, 5612, 506, 5904, 23712, 27364, 1982, 203366, 17507, 236764, 1590, 236789, 236751, 496, 5074, 236772, 8889, 28250, 4313, 611, 740, 1161, 236787, 108, 1018, 236770, 236761, 25453, 236772, 22515, 90329, 568, 36120, 10474, 1473, 1018, 107, 236772, 26922, 4560, 1411, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 528, 1027, 4532, 11180, 107, 236772, 11738, 506, 208113, 4822, 528, 506, 3421, 3029, 107, 236772, 7179, 506, 16821, 4889, 236787, 107, 138, 236772, 64063, 625, 3831, 506, 1638, 98099, 568, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 236768, 107, 138, 236772, 66636, 506, 28100, 14069, 4241, 506, 1689, 3432, 107, 138, 236772, 41152, 506, 49953, 2135, 5132, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 108, 1018, 236778, 236761, 13118, 49231, 167345, 568, 75652, 1473, 1018, 107, 10896, 49231, 48429, 236789, 2196, 5904, 236787, 107, 236770, 236761, 3764, 531, 4560, 1411, 2769, 236761, 1075, 859, 9082, 236761, 854, 236786, 43766, 2181, 236786, 107, 236778, 236761, 10152, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 107, 236800, 236761, 9352, 2536, 573, 236787, 107, 139, 236772, 36591, 7797, 60755, 107, 139, 236772, 42065, 1894, 568, 16223, 4241, 79691, 236766, 236770, 236761, 236778, 236786, 99280, 236766, 236770, 236761, 236800, 236768, 107, 139, 236772, 12096, 18907, 568, 236814, 143063, 1374, 4241, 1689, 3432, 236768, 108, 1018, 236800, 236761, 29912, 7607, 48767, 90329, 568, 58972, 1473, 1018, 107, 7306, 672, 4991, 528, 12612, 236786, 7674, 11172, 236787, 107, 2717, 42422, 107, 59818, 2942, 503, 236779, 5586, 753, 6280, 24564, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236787, 236812, 236812, 236800, 1109, 19015, 2942, 1123, 236810, 236771, 236819, 753, 1904, 725, 753, 1005, 107, 2717, 107, 6845, 506, 3938, 573, 236787, 107, 236772, 217692, 2846, 107, 236772, 173609, 16590, 3792, 236789, 236751, 27080, 8867, 107, 236772, 49953, 16227, 2440, 506, 24564, 203366, 107, 236772, 36591, 29624, 25716, 108, 1018, 236812, 236761, 13695, 6307, 36591, 125145, 53121, 107, 10081, 822, 1689, 16821, 5132, 116508, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 528, 49953, 236764, 506, 24564, 22238, 1374, 577, 7438, 5213, 584, 66515, 107, 236772, 669, 203366, 563, 28331, 531, 1161, 506, 1638, 16821, 107, 236772, 669, 46972, 562, 3423, 3298, 531, 506, 1638, 5941, 107, 236772, 2085, 236789, 236751, 951, 7732, 49231, 9831, 108, 1018, 89740, 12096, 7179, 53121, 107, 2859, 506, 24564, 22238, 3831, 496, 1607, 16821, 653, 5052, 36654, 236764, 611, 1374, 236787, 107, 236770, 236761, 7179, 46972, 8735, 573, 565, 11415, 236786, 236776, 3423, 25725, 107, 236778, 236761, 66636, 506, 5941, 236789, 236751, 9144, 4253, 9831, 107, 236800, 236761, 14066, 46133, 496, 7732, 16821, 573, 506, 203366, 108, 38786, 611, 1133, 786, 531, 8214, 611, 1343, 1027, 529, 1239, 4615, 528, 8052, 236764, 653, 1601, 10151, 2536, 699, 1027, 3530, 28250, 4313, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13868, 3835, 236888, 5612, 564, 236789, 236757, 711, 1401, 8330, 236764, 1451, 611, 8214, 786, 1343, 506, 11180, 236772, 5140, 28250, 1171, 236881, 564, 236789, 859, 2426, 506, 24564, 22238, 528, 27165, 532, 2072, 1063, 1144, 564, 1460, 528, 506, 16821, 4889, 236761, 1637, 600, 236789, 236751, 711, 80247, 236764, 1531, 236789, 236751, 7162, 607, 506, 49231, 48429, 5904, 236761, 14300, 600, 4313, 981, 236881, 106, 107, 105, 4368, 107, 100409, 236888, 3792, 236789, 236751, 3727, 1343, 506, 11180, 236772, 5140, 28250, 2918, 236772, 2003, 236772, 9340, 236761, 7323, 1500, 1239, 11808, 13058, 236787, 108, 1018, 25254, 236772, 22515, 90329, 568, 50737, 1473, 1018, 107, 236770, 236761, 7607, 27165, 532, 21332, 531, 236787, 138, 107, 139, 236929, 2574, 1411, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 138, 107, 139, 16907, 13185, 2889, 506, 3421, 3029, 3831, 672, 4453, 10739, 12016, 108, 236778, 236761, 5213, 6845, 506, 22059, 6980, 21651, 1018, 138, 107, 139, 236772, 11738, 506, 236743, 248535, 208113, 4822, 528, 506, 3421, 3029, 138, 107, 139, 236772, 64063, 611, 1460, 623, 85692, 236775, 607, 496, 3826, 2426, 3676, 138, 107, 139, 236772, 1637, 611, 1460, 623, 4348, 57843, 236775, 528, 2604, 236764, 4721, 1590, 532, 1531, 786, 1281, 108, 236800, 236761, 5213, 7084, 36591, 20303, 1018, 138, 107, 139, 236772, 11738, 623, 66190, 236775, 568, 16223, 1879, 623, 66190, 568, 13280, 16291, 528, 12819, 1816, 236768, 138, 107, 139, 236772, 562, 861, 4771, 21250, 623, 66190, 133951, 236775, 795, 1932, 108, 236812, 236761, 5213, 81933, 9533, 20303, 1018, 138, 107, 139, 5988, 531, 506, 5213, 236775, 9473, 236775, 6937, 1018, 532, 2426, 236787, 107, 139, 236772, 5213, 175231, 53121, 138, 107, 141, 236929, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 236929, 138, 107, 141, 16907, 31336, 4241, 506, 1689, 3432, 236858, 236751, 98099, 12016, 107, 139, 236772, 5213, 13280, 4934, 236786, 2021, 53121, 138, 107, 141, 31336, 4241, 506, 1689, 3432, 236858, 236751, 14069, 236787, 138, 107, 141, 236929, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 236929, 107, 139, 236772, 5213, 21288, 48806, 7343, 568, 53178, 1473, 1018, 138, 107, 141, 13908, 573, 236787, 138, 107, 141, 236929, 94464, 7343, 236784, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 138, 107, 141, 16907, 2094, 44898, 506, 203366, 563, 5012, 12016, 108, 236810, 236761, 5213, 6845, 36591, 193495, 1018, 138, 107, 139, 5988, 531, 506, 5213, 236775, 66190, 13739, 236775, 6937, 1018, 532, 5330, 236787, 138, 107, 139, 236772, 669, 7797, 12853, 506, 1689, 3432, 236787, 138, 107, 141, 236929, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 16130, 3729, 16130, 24564, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 138, 107, 139, 236772, 2301, 36654, 1133, 623, 2094, 16821, 563, 711, 26576, 236775, 3196, 108, 1018, 3689, 531, 8708, 7429, 53121, 138, 107, 236772, 14300, 506, 16821, 1407, 623, 13280, 236775, 607, 951, 36654, 236881, 138, 107, 236772, 3574, 506, 98099, 532, 28100, 14069, 4241, 506, 1689, 3432, 236881, 138, 107, 236772, 2375, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 25010, 9456, 528, 49953, 236881, 138, 107, 236772, 15258, 611, 1460, 1027, 5052, 36654, 657, 1027, 2918, 236881, 108, 2859, 4326, 12853, 532, 993, 659, 951, 36654, 236764, 692, 236858, 859, 9128, 506, 203366, 563, 9584, 236761, 1637, 611, 14087, 85373, 568, 236744, 236761, 236759, 1126, 1607, 98099, 236764, 9724, 49953, 236764, 653, 36654, 779, 692, 236858, 859, 7162, 531, 506, 49231, 48429, 5904, 573, 19276, 3671, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 2364, 107, 818, 24564, 22238, 236789, 236751, 16821, 4889, 1407, 236787, 753, 113452, 623, 85692, 236775, 4981, 607, 3826, 2426, 3676, 753, 113452, 173609, 12853, 1689, 3432, 236787, 3792, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 753, 113452, 217692, 14069, 8913, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 753, 113452, 49953, 19365, 107120, 7234, 236787, 2165, 22429, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 753, 236743, 245046, 2301, 14481, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 528, 49953, 753, 113452, 36591, 7797, 12853, 1689, 3432, 607, 951, 36654, 5612, 506, 107120, 16821, 1374, 2890, 784, 1159, 133624, 236764, 840, 506, 24564, 22238, 236789, 236751, 4453, 8610, 5889, 236789, 236745, 25010, 9456, 236764, 1374, 692, 2036, 7162, 531, 49231, 48429, 573, 26093, 236881, 2408, 563, 672, 7271, 18256, 236881, 106, 107, 105, 4368, 107, 1018, 17667, 55163, 25252, 53121, 108, 240732, 5213, 11069, 1873, 18256, 563, 7271, 1018, 573, 49378, 506, 24564, 22238, 236789, 236751, 49231, 5052, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 5213, 39678, 6307, 85406, 563, 30638, 1018, 138, 107, 139, 818, 49953, 7234, 2165, 22429, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 25010, 13526, 5213, 712, 1159, 133624, 125546, 2440, 2165, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 21233, 13695, 6307, 35065, 659, 5402, 531, 981, 672, 1595, 236764, 532, 58029, 18855, 1091, 23577, 236761, 108, 236778, 236761, 5213, 25254, 55163, 13810, 90105, 12939, 2027, 1018, 138, 107, 139, 236772, 669, 3826, 623, 85692, 236775, 4981, 44898, 506, 16821, 563, 26576, 532, 9668, 28331, 573, 672, 203366, 236761, 138, 107, 139, 236772, 114653, 98099, 236764, 28100, 14069, 236764, 532, 16821, 7797, 10128, 25725, 607, 506, 1689, 3432, 236789, 236751, 9831, 236761, 138, 108, 236800, 236761, 5213, 3771, 113970, 132163, 228274, 1018, 138, 107, 139, 3771, 36654, 653, 31085, 117947, 528, 506, 16821, 2479, 236764, 28463, 236764, 653, 5052, 18907, 964, 4785, 236761, 108, 7243, 108, 1018, 43983, 12067, 14938, 568, 48767, 48429, 573, 32417, 76242, 1473, 1018, 138, 107, 8409, 711, 20976, 4127, 236764, 611, 1451, 2036, 1161, 49231, 48429, 236789, 5904, 531, 236787, 138, 107, 236772, 64063, 16433, 1894, 568, 99280, 236766, 236770, 236761, 236778, 236786, 99280, 236766, 236770, 236761, 236800, 236768, 12853, 506, 1689, 3432, 138, 107, 236772, 66636, 640, 143063, 18907, 659, 42836, 15195, 138, 107, 236772, 4987, 496, 9813, 16821, 7797, 3671, 138, 108, 2859, 611, 236789, 236753, 1133, 531, 7162, 236764, 564, 740, 8214, 611, 1343, 59536, 49231, 48429, 236789, 2536, 236761, 27587, 236764, 822, 1873, 12396, 9128, 506, 203366, 563, 53036, 7438, 684, 506, 107120, 16821, 236761, 138, 108, 1018, 17667, 111506, 53121, 138, 107, 71520, 611, 14087, 3530, 4342, 568, 236744, 236761, 236759, 1126, 9726, 3004, 36654, 236764, 16821, 9825, 236764, 653, 9831, 3731, 779, 506, 1873, 10884, 7412, 9584, 532, 53003, 236761, 21284, 611, 1133, 531, 1845, 506, 49231, 48429, 1594, 236764, 653, 659, 611, 9650, 6049, 4448, 607, 506, 11180, 236772, 87622, 18256, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 49231, 35065, 573, 1041, 3399, 15653, 3988, 4456, 532, 506, 24564, 22238, 236761, 5315, 236764, 16807, 506, 1689, 3432, 236789, 236751, 16821, 532, 1531, 786, 1281, 768, 625, 236789, 236751, 4341, 236761, 1637, 625, 563, 236764, 7162, 531, 2426, 506, 24564, 22238, 236789, 236751, 49231, 236761, 1637, 711, 236764, 564, 1202, 531, 3421, 506, 1689, 4186, 1680, 6049, 580, 236761, 5715, 659, 506, 26104, 236787, 3399, 661, 1166, 7703, 10790, 8759, 236761, 2187, 573, 506, 1689, 3432, 532, 24564, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 573, 506, 22238, 236761, 7323, 1502, 607, 506, 1689, 3432, 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, 66011, 1083, 623, 46456, 8538, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 827, 623, 4730, 1083, 1847, 236764, 623, 209063, 1083, 623, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 827, 623, 4730, 236779, 2543, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4730, 236779, 1071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236800, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 137759, 1083, 11058, 99280, 236766, 236770, 236761, 236778, 827, 623, 99280, 236766, 236770, 236761, 236800, 14255, 623, 29321, 1083, 11058, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 827, 116508, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 14255, 623, 11205, 236779, 20714, 1083, 3714, 56815, 236779, 49494, 236779, 11205, 1083, 623, 2074, 236772, 676, 236784, 236800, 236770, 236810, 236800, 236825, 236771, 236771, 236771, 236793, 3204, 5096, 160523, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 19645, 1083, 623, 46456, 1689, 3432, 8610, 756, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236789, 840, 4461, 24564, 22238, 8610, 756, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 35773, 19465, 106, 107, 105, 4368, 107, 818, 1689, 3432, 236789, 236751, 49231, 16821, 563, 4341, 532, 9668, 28331, 236761, 5715, 236789, 236751, 506, 9813, 25890, 236787, 108, 1018, 7765, 20103, 36591, 568, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 1473, 1018, 107, 236772, 113452, 217692, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 107, 236772, 236743, 247182, 238178, 173609, 236787, 3792, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 107, 236772, 236743, 252067, 184790, 107425, 236787, 79691, 236766, 236770, 236761, 236778, 236764, 79691, 236766, 236770, 236761, 236800, 107, 236772, 236743, 246978, 49953, 85406, 236787, 10508, 5989, 532, 107120, 1159, 133624, 107, 236772, 236743, 247182, 238178, 12096, 77497, 236787, 640, 143063, 28331, 607, 236743, 236770, 236772, 3704, 2631, 236772, 676, 108, 9675, 236764, 564, 26109, 614, 2802, 23712, 1056, 26813, 531, 2426, 506, 24564, 22238, 236761, 669, 1458, 1186, 5862, 17507, 573, 506, 5989, 8610, 623, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 532, 11802, 203366, 17507, 573, 5052, 7483, 236761, 2282, 16807, 506, 24564, 22238, 236789, 236751, 49231, 9831, 236764, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 41152, 506, 203366, 88048, 15195, 531, 506, 5941, 107, 236778, 236761, 64063, 506, 16821, 5132, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 528, 1061, 49953, 2135, 107, 236800, 236761, 14066, 1699, 496, 11554, 49231, 80062, 5904, 573, 203366, 18256, 108, 38786, 611, 1133, 786, 531, 1601, 607, 1027, 3530, 10217, 529, 506, 1689, 3432, 236789, 236751, 9831, 653, 5052, 18907, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 25890, 236888, 5612, 506, 24564, 22238, 2426, 691, 19188, 236764, 1451, 611, 2056, 614, 9302, 4313, 236881, 20778, 2426, 506, 24564, 22238, 236789, 236751, 49231, 1699, 496, 1607, 1996, 653, 5904, 600, 4038, 236789, 236745, 735, 672, 203366, 26919, 236881, 1637, 600, 236789, 236751, 711, 2653, 236764, 7463, 1601, 786, 16807, 506, 16821, 4889, 24473, 1343, 46972, 8735, 653, 3600, 496, 108581, 531, 9128, 506, 203366, 236789, 236751, 5052, 9831, 236881, 106, 107, 105, 4368, 107, 236777, 3050, 822, 4561, 1003, 92578, 506, 24564, 22238, 236789, 236751, 5052, 236761, 5612, 506, 5904, 23712, 27364, 1982, 203366, 17507, 236764, 1590, 236789, 236751, 496, 5074, 236772, 8889, 28250, 4313, 611, 740, 1161, 236787, 108, 1018, 236770, 236761, 25453, 236772, 22515, 90329, 568, 36120, 10474, 1473, 1018, 107, 236772, 26922, 4560, 1411, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 528, 1027, 4532, 11180, 107, 236772, 11738, 506, 208113, 4822, 528, 506, 3421, 3029, 107, 236772, 7179, 506, 16821, 4889, 236787, 107, 138, 236772, 64063, 625, 3831, 506, 1638, 98099, 568, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 236768, 107, 138, 236772, 66636, 506, 28100, 14069, 4241, 506, 1689, 3432, 107, 138, 236772, 41152, 506, 49953, 2135, 5132, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 108, 1018, 236778, 236761, 13118, 49231, 167345, 568, 75652, 1473, 1018, 107, 10896, 49231, 48429, 236789, 2196, 5904, 236787, 107, 236770, 236761, 3764, 531, 4560, 1411, 2769, 236761, 1075, 859, 9082, 236761, 854, 236786, 43766, 2181, 236786, 107, 236778, 236761, 10152, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 107, 236800, 236761, 9352, 2536, 573, 236787, 107, 139, 236772, 36591, 7797, 60755, 107, 139, 236772, 42065, 1894, 568, 16223, 4241, 79691, 236766, 236770, 236761, 236778, 236786, 99280, 236766, 236770, 236761, 236800, 236768, 107, 139, 236772, 12096, 18907, 568, 236814, 143063, 1374, 4241, 1689, 3432, 236768, 108, 1018, 236800, 236761, 29912, 7607, 48767, 90329, 568, 58972, 1473, 1018, 107, 7306, 672, 4991, 528, 12612, 236786, 7674, 11172, 236787, 107, 2717, 42422, 107, 59818, 2942, 503, 236779, 5586, 753, 6280, 24564, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236787, 236812, 236812, 236800, 1109, 19015, 2942, 1123, 236810, 236771, 236819, 753, 1904, 725, 753, 1005, 107, 2717, 107, 6845, 506, 3938, 573, 236787, 107, 236772, 217692, 2846, 107, 236772, 173609, 16590, 3792, 236789, 236751, 27080, 8867, 107, 236772, 49953, 16227, 2440, 506, 24564, 203366, 107, 236772, 36591, 29624, 25716, 108, 1018, 236812, 236761, 13695, 6307, 36591, 125145, 53121, 107, 10081, 822, 1689, 16821, 5132, 116508, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 528, 49953, 236764, 506, 24564, 22238, 1374, 577, 7438, 5213, 584, 66515, 107, 236772, 669, 203366, 563, 28331, 531, 1161, 506, 1638, 16821, 107, 236772, 669, 46972, 562, 3423, 3298, 531, 506, 1638, 5941, 107, 236772, 2085, 236789, 236751, 951, 7732, 49231, 9831, 108, 1018, 89740, 12096, 7179, 53121, 107, 2859, 506, 24564, 22238, 3831, 496, 1607, 16821, 653, 5052, 36654, 236764, 611, 1374, 236787, 107, 236770, 236761, 7179, 46972, 8735, 573, 565, 11415, 236786, 236776, 3423, 25725, 107, 236778, 236761, 66636, 506, 5941, 236789, 236751, 9144, 4253, 9831, 107, 236800, 236761, 14066, 46133, 496, 7732, 16821, 573, 506, 203366, 108, 38786, 611, 1133, 786, 531, 8214, 611, 1343, 1027, 529, 1239, 4615, 528, 8052, 236764, 653, 1601, 10151, 2536, 699, 1027, 3530, 28250, 4313, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13868, 3835, 236888, 5612, 564, 236789, 236757, 711, 1401, 8330, 236764, 1451, 611, 8214, 786, 1343, 506, 11180, 236772, 5140, 28250, 1171, 236881, 564, 236789, 859, 2426, 506, 24564, 22238, 528, 27165, 532, 2072, 1063, 1144, 564, 1460, 528, 506, 16821, 4889, 236761, 1637, 600, 236789, 236751, 711, 80247, 236764, 1531, 236789, 236751, 7162, 607, 506, 49231, 48429, 5904, 236761, 14300, 600, 4313, 981, 236881, 106, 107, 105, 4368, 107, 100409, 236888, 3792, 236789, 236751, 3727, 1343, 506, 11180, 236772, 5140, 28250, 2918, 236772, 2003, 236772, 9340, 236761, 7323, 1500, 1239, 11808, 13058, 236787, 108, 1018, 25254, 236772, 22515, 90329, 568, 50737, 1473, 1018, 107, 236770, 236761, 7607, 27165, 532, 21332, 531, 236787, 138, 107, 139, 236929, 2574, 1411, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 138, 107, 139, 16907, 13185, 2889, 506, 3421, 3029, 3831, 672, 4453, 10739, 12016, 108, 236778, 236761, 5213, 6845, 506, 22059, 6980, 21651, 1018, 138, 107, 139, 236772, 11738, 506, 236743, 248535, 208113, 4822, 528, 506, 3421, 3029, 138, 107, 139, 236772, 64063, 611, 1460, 623, 85692, 236775, 607, 496, 3826, 2426, 3676, 138, 107, 139, 236772, 1637, 611, 1460, 623, 4348, 57843, 236775, 528, 2604, 236764, 4721, 1590, 532, 1531, 786, 1281, 108, 236800, 236761, 5213, 7084, 36591, 20303, 1018, 138, 107, 139, 236772, 11738, 623, 66190, 236775, 568, 16223, 1879, 623, 66190, 568, 13280, 16291, 528, 12819, 1816, 236768, 138, 107, 139, 236772, 562, 861, 4771, 21250, 623, 66190, 133951, 236775, 795, 1932, 108, 236812, 236761, 5213, 81933, 9533, 20303, 1018, 138, 107, 139, 5988, 531, 506, 5213, 236775, 9473, 236775, 6937, 1018, 532, 2426, 236787, 107, 139, 236772, 5213, 175231, 53121, 138, 107, 141, 236929, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 236929, 138, 107, 141, 16907, 31336, 4241, 506, 1689, 3432, 236858, 236751, 98099, 12016, 107, 139, 236772, 5213, 13280, 4934, 236786, 2021, 53121, 138, 107, 141, 31336, 4241, 506, 1689, 3432, 236858, 236751, 14069, 236787, 138, 107, 141, 236929, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 236929, 107, 139, 236772, 5213, 21288, 48806, 7343, 568, 53178, 1473, 1018, 138, 107, 141, 13908, 573, 236787, 138, 107, 141, 236929, 94464, 7343, 236784, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 138, 107, 141, 16907, 2094, 44898, 506, 203366, 563, 5012, 12016, 108, 236810, 236761, 5213, 6845, 36591, 193495, 1018, 138, 107, 139, 5988, 531, 506, 5213, 236775, 66190, 13739, 236775, 6937, 1018, 532, 5330, 236787, 138, 107, 139, 236772, 669, 7797, 12853, 506, 1689, 3432, 236787, 138, 107, 141, 236929, 6481, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 16130, 3729, 16130, 24564, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 138, 107, 139, 236772, 2301, 36654, 1133, 623, 2094, 16821, 563, 711, 26576, 236775, 3196, 108, 1018, 3689, 531, 8708, 7429, 53121, 138, 107, 236772, 14300, 506, 16821, 1407, 623, 13280, 236775, 607, 951, 36654, 236881, 138, 107, 236772, 3574, 506, 98099, 532, 28100, 14069, 4241, 506, 1689, 3432, 236881, 138, 107, 236772, 2375, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 25010, 9456, 528, 49953, 236881, 138, 107, 236772, 15258, 611, 1460, 1027, 5052, 36654, 657, 1027, 2918, 236881, 108, 2859, 4326, 12853, 532, 993, 659, 951, 36654, 236764, 692, 236858, 859, 9128, 506, 203366, 563, 9584, 236761, 1637, 611, 14087, 85373, 568, 236744, 236761, 236759, 1126, 1607, 98099, 236764, 9724, 49953, 236764, 653, 36654, 779, 692, 236858, 859, 7162, 531, 506, 49231, 48429, 5904, 573, 19276, 3671, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 2364, 107, 818, 24564, 22238, 236789, 236751, 16821, 4889, 1407, 236787, 753, 113452, 623, 85692, 236775, 4981, 607, 3826, 2426, 3676, 753, 113452, 173609, 12853, 1689, 3432, 236787, 3792, 236789, 236751, 27080, 8867, 19430, 1684, 236800, 753, 113452, 217692, 14069, 8913, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 753, 5142, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 753, 113452, 49953, 19365, 107120, 7234, 236787, 2165, 22429, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 753, 236743, 245046, 2301, 14481, 623, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236775, 528, 49953, 753, 113452, 36591, 7797, 12853, 1689, 3432, 607, 951, 36654, 5612, 506, 107120, 16821, 1374, 2890, 784, 1159, 133624, 236764, 840, 506, 24564, 22238, 236789, 236751, 4453, 8610, 5889, 236789, 236745, 25010, 9456, 236764, 1374, 692, 2036, 7162, 531, 49231, 48429, 573, 26093, 236881, 2408, 563, 672, 7271, 18256, 236881, 106, 107, 105, 4368, 107, 1018, 17667, 55163, 25252, 53121, 108, 240732, 5213, 11069, 1873, 18256, 563, 7271, 1018, 573, 49378, 506, 24564, 22238, 236789, 236751, 49231, 5052, 236761, 5715, 236789, 236751, 3217, 236787, 108, 236770, 236761, 5213, 39678, 6307, 85406, 563, 30638, 1018, 138, 107, 139, 818, 49953, 7234, 2165, 22429, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 236929, 25010, 13526, 5213, 712, 1159, 133624, 125546, 2440, 2165, 185529, 236761, 37939, 661, 1166, 7703, 10790, 8759, 236761, 2187, 21233, 13695, 6307, 35065, 659, 5402, 531, 981, 672, 1595, 236764, 532, 58029, 18855, 1091, 23577, 236761, 108, 236778, 236761, 5213, 25254, 55163, 13810, 90105, 12939, 2027, 1018, 138, 107, 139, 236772, 669, 3826, 623, 85692, 236775, 4981, 44898, 506, 16821, 563, 26576, 532, 9668, 28331, 573, 672, 203366, 236761, 138, 107, 139, 236772, 114653, 98099, 236764, 28100, 14069, 236764, 532, 16821, 7797, 10128, 25725, 607, 506, 1689, 3432, 236789, 236751, 9831, 236761, 138, 108, 236800, 236761, 5213, 3771, 113970, 132163, 228274, 1018, 138, 107, 139, 3771, 36654, 653, 31085, 117947, 528, 506, 16821, 2479, 236764, 28463, 236764, 653, 5052, 18907, 964, 4785, 236761, 108, 7243, 108, 1018, 43983, 12067, 14938, 568, 48767, 48429, 573, 32417, 76242, 1473, 1018, 138, 107, 8409, 711, 20976, 4127, 236764, 611, 1451, 2036, 1161, 49231, 48429, 236789, 5904, 531, 236787, 138, 107, 236772, 64063, 16433, 1894, 568, 99280, 236766, 236770, 236761, 236778, 236786, 99280, 236766, 236770, 236761, 236800, 236768, 12853, 506, 1689, 3432, 138, 107, 236772, 66636, 640, 143063, 18907, 659, 42836, 15195, 138, 107, 236772, 4987, 496, 9813, 16821, 7797, 3671, 138, 108, 2859, 611, 236789, 236753, 1133, 531, 7162, 236764, 564, 740, 8214, 611, 1343, 59536, 49231, 48429, 236789, 2536, 236761, 27587, 236764, 822, 1873, 12396, 9128, 506, 203366, 563, 53036, 7438, 684, 506, 107120, 16821, 236761, 138, 108, 1018, 17667, 111506, 53121, 138, 107, 71520, 611, 14087, 3530, 4342, 568, 236744, 236761, 236759, 1126, 9726, 3004, 36654, 236764, 16821, 9825, 236764, 653, 9831, 3731, 779, 506, 1873, 10884, 7412, 9584, 532, 53003, 236761, 21284, 611, 1133, 531, 1845, 506, 49231, 48429, 1594, 236764, 653, 659, 611, 9650, 6049, 4448, 607, 506, 11180, 236772, 87622, 18256, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 27893, 7946, 3008, 506, 3314, 1973, 25656, 7940, 23855, 532, 1461, 531, 2426, 573, 14942, 2066, 6485, 2351, 496, 236743, 236770, 236810, 236772, 33432, 12425, 236761, 5315, 236764, 740, 611, 974, 506, 28887, 15375, 573, 506, 13234, 236789, 236751, 6250, 1523, 236881, 9920, 692, 735, 1724, 236764, 1531, 236789, 236751, 1586, 1027, 2066, 6485, 528, 600, 2433, 236761, 564, 236789, 236757, 23210, 1003, 3435, 8646, 5872, 1680, 1041, 34374, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 3984, 1973, 25656, 7940, 23855, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 23855, 2834, 7901, 827, 623, 13319, 1083, 623, 3984, 1973, 25656, 827, 623, 3255, 1083, 623, 100320, 827, 623, 15905, 236779, 3970, 1083, 623, 236825, 236771, 236771, 236770, 236825, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236778, 236761, 236771, 236800, 236800, 236800, 236764, 623, 41713, 1083, 753, 236828, 236832, 236761, 236819, 236800, 236800, 236825, 1263, 623, 144938, 236779, 3119, 236779, 100403, 1083, 236743, 236770, 236812, 236761, 236800, 236764, 623, 16518, 1083, 11058, 181887, 827, 623, 236799, 16144, 827, 623, 181186, 155712, 14255, 623, 182119, 236779, 11116, 236779, 1340, 236779, 21878, 1083, 11058, 21221, 3314, 1973, 25656, 7940, 15140, 827, 623, 160260, 832, 5168, 13988, 120892, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 1083, 623, 11099, 236743, 236778, 2066, 6485, 2351, 236743, 236778, 236812, 236761, 236770, 236812, 7251, 12425, 827, 623, 12103, 1083, 78493, 1201, 1083, 623, 3984, 1973, 25656, 7940, 26211, 14629, 827, 623, 17178, 236779, 11375, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 2084, 1083, 623, 39987, 30026, 827, 623, 4818, 1083, 623, 191132, 827, 623, 48578, 236779, 64342, 1083, 236743, 236770, 236778, 236771, 1263, 3714, 1201, 1083, 623, 236863, 551, 3862, 161419, 15748, 827, 623, 17178, 236779, 11375, 1083, 236743, 236770, 236828, 236761, 236832, 236764, 623, 2084, 1083, 623, 99261, 827, 623, 4818, 1083, 623, 3321, 75365, 524, 827, 623, 48578, 236779, 64342, 1083, 236743, 236825, 236810, 236771, 104960, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 12396, 573, 2066, 6485, 3541, 506, 3314, 1973, 25656, 7940, 23855, 236787, 108, 1018, 52213, 119558, 529, 23855, 9187, 53121, 138, 107, 104548, 236743, 236812, 236778, 236761, 236771, 236800, 236800, 236800, 236764, 8099, 4637, 753, 236828, 236832, 236761, 236819, 236800, 236800, 236825, 108, 1018, 18312, 44812, 25298, 236743, 236770, 236810, 236772, 96769, 88200, 568, 236778, 236812, 236761, 236770, 236812, 7251, 1473, 1018, 107, 236770, 236761, 5213, 3984, 1973, 25656, 7940, 26211, 14629, 1018, 138, 107, 139, 236772, 9250, 236787, 26211, 30026, 568, 197054, 2778, 236768, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236771, 236761, 236810, 7251, 568, 236825, 236761, 236810, 7635, 236768, 699, 186102, 138, 107, 139, 236772, 18365, 236787, 91417, 138, 108, 236778, 236761, 5213, 236863, 551, 3862, 161419, 15748, 1018, 138, 107, 139, 236772, 9250, 236787, 29161, 568, 9181, 236772, 197054, 236768, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236828, 236761, 236832, 7251, 568, 236770, 236770, 236761, 236825, 7635, 236768, 699, 186102, 138, 107, 139, 236772, 18365, 236787, 1783, 75365, 524, 568, 1904, 4890, 5158, 236768, 138, 108, 818, 17934, 6012, 3732, 563, 9150, 3107, 840, 6178, 3980, 2778, 236764, 1651, 506, 11559, 3732, 563, 41691, 3121, 532, 48029, 236761, 1701, 3342, 4889, 1003, 1032, 7704, 529, 2536, 568, 236800, 2558, 779, 1531, 786, 1281, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3008, 506, 3314, 1973, 25656, 7940, 23855, 532, 1461, 531, 2426, 573, 14942, 2066, 6485, 2351, 496, 236743, 236770, 236810, 236772, 33432, 12425, 236761, 5315, 236764, 740, 611, 974, 506, 28887, 15375, 573, 506, 13234, 236789, 236751, 6250, 1523, 236881, 9920, 692, 735, 1724, 236764, 1531, 236789, 236751, 1586, 1027, 2066, 6485, 528, 600, 2433, 236761, 564, 236789, 236757, 23210, 1003, 3435, 8646, 5872, 1680, 1041, 34374, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 3984, 1973, 25656, 7940, 23855, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 23855, 2834, 7901, 827, 623, 13319, 1083, 623, 3984, 1973, 25656, 827, 623, 3255, 1083, 623, 100320, 827, 623, 15905, 236779, 3970, 1083, 623, 236825, 236771, 236771, 236770, 236825, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236778, 236761, 236771, 236800, 236800, 236800, 236764, 623, 41713, 1083, 753, 236828, 236832, 236761, 236819, 236800, 236800, 236825, 1263, 623, 144938, 236779, 3119, 236779, 100403, 1083, 236743, 236770, 236812, 236761, 236800, 236764, 623, 16518, 1083, 11058, 181887, 827, 623, 236799, 16144, 827, 623, 181186, 155712, 14255, 623, 182119, 236779, 11116, 236779, 1340, 236779, 21878, 1083, 11058, 21221, 3314, 1973, 25656, 7940, 15140, 827, 623, 160260, 832, 5168, 13988, 120892, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 1083, 623, 11099, 236743, 236778, 2066, 6485, 2351, 236743, 236778, 236812, 236761, 236770, 236812, 7251, 12425, 827, 623, 12103, 1083, 78493, 1201, 1083, 623, 3984, 1973, 25656, 7940, 26211, 14629, 827, 623, 17178, 236779, 11375, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 2084, 1083, 623, 39987, 30026, 827, 623, 4818, 1083, 623, 191132, 827, 623, 48578, 236779, 64342, 1083, 236743, 236770, 236778, 236771, 1263, 3714, 1201, 1083, 623, 236863, 551, 3862, 161419, 15748, 827, 623, 17178, 236779, 11375, 1083, 236743, 236770, 236828, 236761, 236832, 236764, 623, 2084, 1083, 623, 99261, 827, 623, 4818, 1083, 623, 3321, 75365, 524, 827, 623, 48578, 236779, 64342, 1083, 236743, 236825, 236810, 236771, 104960, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 12396, 573, 2066, 6485, 3541, 506, 3314, 1973, 25656, 7940, 23855, 236787, 108, 1018, 52213, 119558, 529, 23855, 9187, 53121, 138, 107, 104548, 236743, 236812, 236778, 236761, 236771, 236800, 236800, 236800, 236764, 8099, 4637, 753, 236828, 236832, 236761, 236819, 236800, 236800, 236825, 108, 1018, 18312, 44812, 25298, 236743, 236770, 236810, 236772, 96769, 88200, 568, 236778, 236812, 236761, 236770, 236812, 7251, 1473, 1018, 107, 236770, 236761, 5213, 3984, 1973, 25656, 7940, 26211, 14629, 1018, 138, 107, 139, 236772, 9250, 236787, 26211, 30026, 568, 197054, 2778, 236768, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236771, 236761, 236810, 7251, 568, 236825, 236761, 236810, 7635, 236768, 699, 186102, 138, 107, 139, 236772, 18365, 236787, 91417, 138, 108, 236778, 236761, 5213, 236863, 551, 3862, 161419, 15748, 1018, 138, 107, 139, 236772, 9250, 236787, 29161, 568, 9181, 236772, 197054, 236768, 138, 107, 139, 236772, 46783, 236787, 236743, 236770, 236828, 236761, 236832, 7251, 568, 236770, 236770, 236761, 236825, 7635, 236768, 699, 186102, 138, 107, 139, 236772, 18365, 236787, 1783, 75365, 524, 568, 1904, 4890, 5158, 236768, 138, 108, 818, 17934, 6012, 3732, 563, 9150, 3107, 840, 6178, 3980, 2778, 236764, 1651, 506, 11559, 3732, 563, 41691, 3121, 532, 48029, 236761, 1701, 3342, 4889, 1003, 1032, 7704, 529, 2536, 568, 236800, 2558, 779, 1531, 786, 1281, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 31236, 15130, 63680, 573, 496, 3399, 2203, 564, 236789, 236757, 6995, 236761, 3792, 236789, 236751, 1879, 564, 735, 496, 7715, 529, 609, 236810, 236771, 236771, 23058, 600, 564, 1461, 531, 7352, 531, 26135, 42466, 585, 568, 20074, 236797, 236768, 531, 7408, 6672, 6485, 573, 506, 3399, 3988, 236789, 236751, 7972, 236761, 2024, 564, 1202, 531, 2881, 573, 496, 236743, 236778, 236908, 12562, 11317, 580, 506, 8770, 236761, 3199, 611, 1161, 506, 652, 83308, 1050, 556, 29479, 5904, 531, 9279, 506, 20843, 2886, 528, 45796, 236797, 1308, 14253, 506, 11317, 236881, 3792, 786, 1281, 1144, 1873, 8770, 3136, 611, 1161, 573, 672, 14988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236778, 236771, 236761, 236810, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236770, 236771, 236771, 236812, 236810, 236761, 236771, 236764, 623, 31408, 236779, 44163, 236779, 18223, 1083, 236743, 236778, 236761, 236771, 236764, 623, 44163, 236779, 7156, 19748, 1083, 236743, 236778, 236771, 236810, 236761, 236771, 236764, 623, 22775, 14475, 1083, 623, 11480, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 79766, 1083, 11058, 38556, 236786, 20074, 236797, 14255, 623, 29062, 236779, 2084, 1083, 623, 1321, 236781, 827, 623, 3917, 236779, 13308, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 1873, 8770, 3136, 573, 23058, 531, 45796, 236797, 1456, 528, 672, 14988, 563, 5213, 236778, 236771, 236761, 236810, 1018, 568, 527, 52236, 699, 506, 2165, 828, 62938, 236929, 5904, 769, 10352, 506, 2165, 716, 83308, 1050, 556, 29479, 236929, 5904, 607, 496, 5213, 236778, 236908, 12562, 11317, 1018, 6055, 531, 822, 609, 236810, 236771, 236771, 23058, 7715, 236787, 108, 236772, 5213, 30498, 2886, 66515, 609, 236810, 236771, 236771, 23058, 138, 107, 236772, 5213, 17704, 11317, 568, 236778, 11376, 66515, 609, 236770, 236771, 23058, 568, 7156, 236756, 13816, 1680, 14274, 236768, 138, 107, 236772, 5213, 168935, 2886, 66515, 5213, 236770, 236771, 236764, 236771, 236812, 236810, 45796, 236797, 1018, 568, 9900, 14253, 506, 11317, 532, 1699, 506, 8770, 3136, 529, 236743, 236778, 236771, 236761, 236810, 769, 138, 108, 818, 14988, 34266, 12412, 659, 6055, 531, 506, 3738, 15130, 568, 38556, 236768, 1680, 14274, 236761, 669, 8770, 3136, 691, 4341, 618, 529, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 106, 107, 105, 2364, 107, 6445, 600, 564, 735, 506, 16952, 2886, 529, 5213, 236770, 236771, 236764, 236771, 236812, 236810, 45796, 236797, 125546, 564, 236858, 236753, 1133, 531, 51808, 672, 7715, 531, 7408, 6672, 6485, 573, 506, 3399, 3988, 236858, 236751, 7972, 236761, 1701, 2591, 236764, 564, 2731, 531, 3717, 5213, 236770, 236771, 233947, 657, 236743, 236810, 236771, 45796, 236797, 1546, 1018, 532, 5213, 236810, 233116, 6485, 657, 236743, 236770, 236810, 236771, 45796, 236797, 1546, 84750, 3199, 611, 9279, 506, 2558, 2157, 529, 1239, 4852, 532, 9128, 1217, 1623, 529, 506, 7715, 1093, 4595, 66764, 236881, 1637, 993, 236858, 236751, 496, 1202, 531, 6253, 17772, 653, 9918, 506, 7715, 22793, 236764, 1531, 786, 1281, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 529, 822, 3732, 25663, 607, 506, 28606, 7715, 236787, 108, 1018, 127445, 1780, 53121, 107, 236772, 5213, 236780, 158915, 53121, 236743, 236770, 236771, 6485, 15666, 236743, 236810, 236771, 45796, 236797, 578, 5213, 236810, 236771, 236771, 45796, 236797, 1018, 138, 107, 236772, 5213, 11585, 1478, 6485, 53121, 236743, 236810, 6485, 15666, 236743, 236770, 236810, 236771, 45796, 236797, 578, 5213, 236832, 236810, 236771, 45796, 236797, 1018, 138, 108, 1018, 9640, 7785, 53121, 236743, 236810, 236771, 236771, 900, 236743, 236832, 236810, 236771, 578, 5213, 236770, 236764, 236778, 236810, 236771, 45796, 236797, 1018, 138, 107, 1018, 91237, 7715, 53121, 236743, 236770, 236771, 236764, 236771, 236812, 236810, 45796, 236797, 753, 236743, 236770, 236764, 236778, 236810, 236771, 45796, 236797, 578, 5213, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 1018, 138, 108, 3048, 236858, 859, 735, 5213, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 1018, 2378, 573, 4767, 6485, 236764, 9295, 236764, 653, 1032, 7972, 14767, 236761, 1637, 611, 236858, 236753, 1133, 531, 6253, 17772, 568, 236744, 236761, 236759, 1126, 3717, 919, 233116, 6485, 653, 1138, 1032, 4852, 779, 1531, 786, 1281, 236764, 532, 564, 236858, 859, 110270, 606, 236888, 236743, 247344, 243536, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 1161, 506, 9866, 5213, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 1018, 531, 3717, 919, 6672, 6485, 532, 14767, 236761, 3792, 236858, 236751, 1138, 5213, 236770, 236771, 49605, 24035, 6485, 657, 236743, 236778, 236771, 236771, 45796, 236797, 1546, 1018, 532, 5213, 236778, 16226, 529, 55451, 9295, 657, 236743, 236800, 236771, 236771, 45796, 236797, 1546, 84750, 3199, 611, 9279, 506, 2558, 2157, 529, 1239, 37724, 532, 9128, 506, 1626, 9866, 7715, 236881, 1637, 993, 236858, 236751, 496, 1202, 531, 6253, 17772, 568, 236744, 236761, 236759, 1126, 18661, 49605, 24035, 6485, 653, 20327, 506, 9295, 779, 1531, 786, 1281, 236888, 178829, 247344, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 25890, 607, 822, 37724, 236787, 108, 1018, 4199, 225148, 53121, 107, 236772, 5213, 65484, 24035, 6485, 53121, 236743, 236770, 236771, 6485, 15666, 236743, 236778, 236771, 236771, 45796, 236797, 578, 5213, 236778, 236764, 236771, 236771, 236771, 45796, 236797, 1018, 138, 107, 236772, 5213, 236780, 33852, 9295, 53121, 236743, 236778, 16226, 15666, 236743, 236800, 236771, 236771, 45796, 236797, 578, 5213, 236825, 236771, 236771, 45796, 236797, 1018, 138, 108, 1018, 9640, 7785, 580, 861, 4852, 53121, 236743, 236778, 236764, 236771, 236771, 236771, 900, 236743, 236825, 236771, 236771, 578, 5213, 236778, 236764, 236825, 236771, 236771, 45796, 236797, 1018, 138, 107, 1018, 17667, 9866, 7715, 53121, 236743, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 753, 236743, 236778, 236764, 236825, 236771, 236771, 45796, 236797, 578, 5213, 236825, 236764, 236770, 236819, 236810, 45796, 236797, 1018, 138, 108, 3048, 236858, 859, 2036, 735, 5213, 236825, 236764, 236770, 236819, 236810, 45796, 236797, 1018, 2378, 236888, 1174, 1451, 2890, 4767, 6485, 568, 236744, 236761, 236759, 1126, 2578, 236800, 236771, 919, 233947, 657, 236743, 236810, 236771, 45796, 236797, 1546, 236768, 653, 1032, 14767, 1133, 49115, 6436, 236764, 44166, 236764, 653, 25234, 4820, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 6253, 17772, 653, 11327, 1032, 3835, 236888, 236743, 247344, 244608, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 31236, 15130, 63680, 573, 496, 3399, 2203, 564, 236789, 236757, 6995, 236761, 3792, 236789, 236751, 1879, 564, 735, 496, 7715, 529, 609, 236810, 236771, 236771, 23058, 600, 564, 1461, 531, 7352, 531, 26135, 42466, 585, 568, 20074, 236797, 236768, 531, 7408, 6672, 6485, 573, 506, 3399, 3988, 236789, 236751, 7972, 236761, 2024, 564, 1202, 531, 2881, 573, 496, 236743, 236778, 236908, 12562, 11317, 580, 506, 8770, 236761, 3199, 611, 1161, 506, 652, 83308, 1050, 556, 29479, 5904, 531, 9279, 506, 20843, 2886, 528, 45796, 236797, 1308, 14253, 506, 11317, 236881, 3792, 786, 1281, 1144, 1873, 8770, 3136, 611, 1161, 573, 672, 14988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236778, 236771, 236761, 236810, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236770, 236771, 236771, 236812, 236810, 236761, 236771, 236764, 623, 31408, 236779, 44163, 236779, 18223, 1083, 236743, 236778, 236761, 236771, 236764, 623, 44163, 236779, 7156, 19748, 1083, 236743, 236778, 236771, 236810, 236761, 236771, 236764, 623, 22775, 14475, 1083, 623, 11480, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 79766, 1083, 11058, 38556, 236786, 20074, 236797, 14255, 623, 29062, 236779, 2084, 1083, 623, 1321, 236781, 827, 623, 3917, 236779, 13308, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 1873, 8770, 3136, 573, 23058, 531, 45796, 236797, 1456, 528, 672, 14988, 563, 5213, 236778, 236771, 236761, 236810, 1018, 568, 527, 52236, 699, 506, 2165, 828, 62938, 236929, 5904, 769, 10352, 506, 2165, 716, 83308, 1050, 556, 29479, 236929, 5904, 607, 496, 5213, 236778, 236908, 12562, 11317, 1018, 6055, 531, 822, 609, 236810, 236771, 236771, 23058, 7715, 236787, 108, 236772, 5213, 30498, 2886, 66515, 609, 236810, 236771, 236771, 23058, 138, 107, 236772, 5213, 17704, 11317, 568, 236778, 11376, 66515, 609, 236770, 236771, 23058, 568, 7156, 236756, 13816, 1680, 14274, 236768, 138, 107, 236772, 5213, 168935, 2886, 66515, 5213, 236770, 236771, 236764, 236771, 236812, 236810, 45796, 236797, 1018, 568, 9900, 14253, 506, 11317, 532, 1699, 506, 8770, 3136, 529, 236743, 236778, 236771, 236761, 236810, 769, 138, 108, 818, 14988, 34266, 12412, 659, 6055, 531, 506, 3738, 15130, 568, 38556, 236768, 1680, 14274, 236761, 669, 8770, 3136, 691, 4341, 618, 529, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 106, 107, 105, 2364, 107, 6445, 600, 564, 735, 506, 16952, 2886, 529, 5213, 236770, 236771, 236764, 236771, 236812, 236810, 45796, 236797, 125546, 564, 236858, 236753, 1133, 531, 51808, 672, 7715, 531, 7408, 6672, 6485, 573, 506, 3399, 3988, 236858, 236751, 7972, 236761, 1701, 2591, 236764, 564, 2731, 531, 3717, 5213, 236770, 236771, 233947, 657, 236743, 236810, 236771, 45796, 236797, 1546, 1018, 532, 5213, 236810, 233116, 6485, 657, 236743, 236770, 236810, 236771, 45796, 236797, 1546, 84750, 3199, 611, 9279, 506, 2558, 2157, 529, 1239, 4852, 532, 9128, 1217, 1623, 529, 506, 7715, 1093, 4595, 66764, 236881, 1637, 993, 236858, 236751, 496, 1202, 531, 6253, 17772, 653, 9918, 506, 7715, 22793, 236764, 1531, 786, 1281, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 529, 822, 3732, 25663, 607, 506, 28606, 7715, 236787, 108, 1018, 127445, 1780, 53121, 107, 236772, 5213, 236780, 158915, 53121, 236743, 236770, 236771, 6485, 15666, 236743, 236810, 236771, 45796, 236797, 578, 5213, 236810, 236771, 236771, 45796, 236797, 1018, 138, 107, 236772, 5213, 11585, 1478, 6485, 53121, 236743, 236810, 6485, 15666, 236743, 236770, 236810, 236771, 45796, 236797, 578, 5213, 236832, 236810, 236771, 45796, 236797, 1018, 138, 108, 1018, 9640, 7785, 53121, 236743, 236810, 236771, 236771, 900, 236743, 236832, 236810, 236771, 578, 5213, 236770, 236764, 236778, 236810, 236771, 45796, 236797, 1018, 138, 107, 1018, 91237, 7715, 53121, 236743, 236770, 236771, 236764, 236771, 236812, 236810, 45796, 236797, 753, 236743, 236770, 236764, 236778, 236810, 236771, 45796, 236797, 578, 5213, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 1018, 138, 108, 3048, 236858, 859, 735, 5213, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 1018, 2378, 573, 4767, 6485, 236764, 9295, 236764, 653, 1032, 7972, 14767, 236761, 1637, 611, 236858, 236753, 1133, 531, 6253, 17772, 568, 236744, 236761, 236759, 1126, 3717, 919, 233116, 6485, 653, 1138, 1032, 4852, 779, 1531, 786, 1281, 236764, 532, 564, 236858, 859, 110270, 606, 236888, 236743, 247344, 243536, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 1161, 506, 9866, 5213, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 1018, 531, 3717, 919, 6672, 6485, 532, 14767, 236761, 3792, 236858, 236751, 1138, 5213, 236770, 236771, 49605, 24035, 6485, 657, 236743, 236778, 236771, 236771, 45796, 236797, 1546, 1018, 532, 5213, 236778, 16226, 529, 55451, 9295, 657, 236743, 236800, 236771, 236771, 45796, 236797, 1546, 84750, 3199, 611, 9279, 506, 2558, 2157, 529, 1239, 37724, 532, 9128, 506, 1626, 9866, 7715, 236881, 1637, 993, 236858, 236751, 496, 1202, 531, 6253, 17772, 568, 236744, 236761, 236759, 1126, 18661, 49605, 24035, 6485, 653, 20327, 506, 9295, 779, 1531, 786, 1281, 236888, 178829, 247344, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 25890, 607, 822, 37724, 236787, 108, 1018, 4199, 225148, 53121, 107, 236772, 5213, 65484, 24035, 6485, 53121, 236743, 236770, 236771, 6485, 15666, 236743, 236778, 236771, 236771, 45796, 236797, 578, 5213, 236778, 236764, 236771, 236771, 236771, 45796, 236797, 1018, 138, 107, 236772, 5213, 236780, 33852, 9295, 53121, 236743, 236778, 16226, 15666, 236743, 236800, 236771, 236771, 45796, 236797, 578, 5213, 236825, 236771, 236771, 45796, 236797, 1018, 138, 108, 1018, 9640, 7785, 580, 861, 4852, 53121, 236743, 236778, 236764, 236771, 236771, 236771, 900, 236743, 236825, 236771, 236771, 578, 5213, 236778, 236764, 236825, 236771, 236771, 45796, 236797, 1018, 138, 107, 1018, 17667, 9866, 7715, 53121, 236743, 236828, 236764, 236832, 236819, 236810, 45796, 236797, 753, 236743, 236778, 236764, 236825, 236771, 236771, 45796, 236797, 578, 5213, 236825, 236764, 236770, 236819, 236810, 45796, 236797, 1018, 138, 108, 3048, 236858, 859, 2036, 735, 5213, 236825, 236764, 236770, 236819, 236810, 45796, 236797, 1018, 2378, 236888, 1174, 1451, 2890, 4767, 6485, 568, 236744, 236761, 236759, 1126, 2578, 236800, 236771, 919, 233947, 657, 236743, 236810, 236771, 45796, 236797, 1546, 236768, 653, 1032, 14767, 1133, 49115, 6436, 236764, 44166, 236764, 653, 25234, 4820, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 6253, 17772, 653, 11327, 1032, 3835, 236888, 236743, 247344, 244608, 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, 66583, 532, 27071, 2148, 1051, 532, 1202, 1601, 90352, 236761, 564, 735, 9460, 14348, 529, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 730, 22965, 528, 66583, 532, 236743, 236770, 236764, 236778, 236771, 236771, 35594, 528, 27071, 236761, 2088, 1623, 1093, 1239, 2558, 528, 23058, 236881, 564, 1461, 531, 1386, 2889, 1041, 4301, 3055, 563, 9668, 28606, 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, 13304, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 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, 236819, 236828, 236810, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236825, 236810, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 13308, 1083, 3714, 2543, 27617, 1083, 623, 198481, 827, 623, 236745, 124479, 1083, 623, 38556, 827, 623, 13304, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236778, 236828, 236812, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 2558, 9460, 14348, 573, 822, 22817, 7352, 531, 5213, 236795, 236778, 236764, 236778, 236825, 236819, 236761, 236810, 236771, 23058, 66515, 107, 236772, 5213, 53843, 2241, 568, 198481, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 62902, 16130, 5213, 236795, 236819, 236828, 236810, 236761, 236810, 236771, 23058, 1018, 138, 107, 236772, 5213, 177515, 568, 79271, 236743, 236770, 236764, 236778, 236771, 236771, 62902, 16130, 5213, 236795, 236770, 236764, 236778, 236828, 236812, 236761, 236771, 236771, 23058, 1018, 108, 55123, 6224, 1456, 236787, 138, 107, 236772, 730, 22965, 531, 23058, 236787, 5213, 236771, 236761, 236771, 236771, 236825, 236810, 236832, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236768, 138, 107, 236772, 35594, 531, 23058, 236787, 5213, 236770, 236761, 236771, 236832, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236768, 138, 108, 97866, 130712, 6376, 236764, 834, 1966, 8009, 496, 236743, 236810, 236772, 236770, 236771, 236908, 11345, 531, 822, 4301, 3055, 573, 15130, 43866, 236761, 21284, 611, 1133, 531, 11327, 30981, 653, 1032, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 66583, 532, 27071, 2148, 1051, 532, 1202, 1601, 90352, 236761, 564, 735, 9460, 14348, 529, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 730, 22965, 528, 66583, 532, 236743, 236770, 236764, 236778, 236771, 236771, 35594, 528, 27071, 236761, 2088, 1623, 1093, 1239, 2558, 528, 23058, 236881, 564, 1461, 531, 1386, 2889, 1041, 4301, 3055, 563, 9668, 28606, 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, 13304, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 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, 236819, 236828, 236810, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236825, 236810, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 13308, 1083, 3714, 2543, 27617, 1083, 623, 198481, 827, 623, 236745, 124479, 1083, 623, 38556, 827, 623, 13304, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236778, 236828, 236812, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 2558, 9460, 14348, 573, 822, 22817, 7352, 531, 5213, 236795, 236778, 236764, 236778, 236825, 236819, 236761, 236810, 236771, 23058, 66515, 107, 236772, 5213, 53843, 2241, 568, 198481, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 62902, 16130, 5213, 236795, 236819, 236828, 236810, 236761, 236810, 236771, 23058, 1018, 138, 107, 236772, 5213, 177515, 568, 79271, 236743, 236770, 236764, 236778, 236771, 236771, 62902, 16130, 5213, 236795, 236770, 236764, 236778, 236828, 236812, 236761, 236771, 236771, 23058, 1018, 108, 55123, 6224, 1456, 236787, 138, 107, 236772, 730, 22965, 531, 23058, 236787, 5213, 236771, 236761, 236771, 236771, 236825, 236810, 236832, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236768, 138, 107, 236772, 35594, 531, 23058, 236787, 5213, 236770, 236761, 236771, 236832, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236768, 138, 108, 97866, 130712, 6376, 236764, 834, 1966, 8009, 496, 236743, 236810, 236772, 236770, 236771, 236908, 11345, 531, 822, 4301, 3055, 573, 15130, 43866, 236761, 21284, 611, 1133, 531, 11327, 30981, 653, 1032, 48234, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 3371, 607, 2777, 4009, 77952, 528, 98300, 531, 11723, 1023, 861, 3399, 7972, 2203, 236761, 28344, 611, 3927, 573, 77952, 7467, 528, 24488, 236764, 49115, 236764, 653, 2263, 17861, 2351, 496, 236743, 236810, 236771, 236772, 33432, 12425, 529, 98300, 236764, 17231, 236881, 3551, 8709, 6950, 40718, 532, 10365, 659, 1535, 14175, 236764, 840, 564, 236789, 236753, 992, 1133, 1027, 9526, 10789, 8385, 834, 564, 740, 2426, 910, 86236, 66764, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 111399, 60260, 1083, 78493, 1201, 1083, 623, 17224, 111524, 83523, 827, 623, 19099, 1083, 623, 42809, 827, 623, 76647, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236764, 623, 204830, 1083, 11058, 236751, 152405, 827, 623, 45737, 3999, 14255, 623, 11607, 1083, 623, 236804, 634, 236940, 40717, 11757, 236761, 1364, 23179, 3714, 1201, 1083, 623, 13149, 137187, 14248, 827, 623, 19099, 1083, 623, 132331, 827, 623, 76647, 1083, 236743, 236819, 236778, 236771, 236771, 236764, 623, 204830, 1083, 11058, 6047, 17861, 827, 623, 37939, 49115, 14255, 623, 11607, 1083, 12948, 6047, 48828, 1289, 23179, 3714, 1201, 1083, 623, 147716, 149157, 76638, 827, 623, 19099, 1083, 623, 34207, 827, 623, 76647, 1083, 236743, 236810, 236812, 236771, 236771, 236764, 623, 204830, 1083, 11058, 236751, 152405, 827, 623, 8819, 24949, 14255, 623, 11607, 1083, 623, 236753, 1478, 236761, 1050, 557, 3290, 236940, 22504, 2618, 236761, 2187, 23179, 3714, 1201, 1083, 623, 1683, 2113, 115232, 100387, 827, 623, 19099, 1083, 623, 42809, 827, 623, 76647, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 204830, 1083, 11058, 45737, 3999, 827, 623, 37939, 5699, 14255, 623, 11607, 1083, 623, 716, 2113, 45737, 1094, 2484, 236940, 18112, 236761, 854, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236764, 623, 12485, 236779, 3456, 1083, 623, 236810, 236771, 7635, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 1683, 2113, 236764, 17231, 827, 623, 24385, 1083, 623, 39908, 827, 623, 676, 1083, 236743, 236800, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2777, 4009, 77952, 564, 1765, 2351, 496, 236743, 236810, 236771, 236772, 33432, 12425, 529, 98300, 236764, 17231, 236764, 10317, 580, 24488, 236764, 49115, 236764, 653, 2263, 17861, 236787, 108, 1018, 42809, 53121, 107, 236770, 236761, 5213, 17224, 111524, 83523, 1018, 568, 236770, 236828, 236761, 236810, 236767, 23073, 236768, 138, 107, 139, 91334, 1117, 236787, 72143, 236764, 166858, 138, 107, 139, 11431, 236787, 673, 634, 236940, 40717, 11757, 236761, 1364, 108, 236778, 236761, 5213, 1683, 2113, 115232, 100387, 1018, 568, 236800, 236761, 236812, 236767, 23073, 236768, 138, 107, 139, 91334, 1117, 236787, 166858, 236764, 11493, 37747, 138, 107, 139, 11431, 236787, 652, 2113, 45737, 1094, 2484, 236940, 18112, 236761, 854, 108, 1018, 132331, 53121, 107, 236772, 5213, 13149, 137187, 14248, 1018, 568, 236819, 236761, 236778, 236767, 23073, 236768, 138, 107, 138, 91334, 1117, 236787, 12263, 22682, 236764, 11493, 166858, 138, 107, 138, 11431, 236787, 1392, 6047, 48828, 1289, 108, 1018, 34207, 53121, 107, 236772, 5213, 147716, 149157, 76638, 1018, 568, 236810, 236761, 236812, 236767, 23073, 236768, 138, 107, 139, 91334, 1117, 236787, 72143, 236764, 26762, 83545, 138, 107, 139, 11431, 236787, 226464, 236761, 1050, 557, 3290, 236940, 22504, 2618, 236761, 2187, 138, 107, 139, 1018, 28498, 50376, 53121, 36566, 236764, 17884, 236743, 236800, 236810, 236764, 18186, 528, 98300, 236764, 17231, 108, 9640, 529, 236743, 236812, 77952, 8385, 3418, 14175, 236761, 21284, 611, 1133, 1601, 132187, 43285, 653, 32187, 15154, 19455, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 9526, 86236, 573, 1392, 6047, 48828, 1289, 236881, 669, 12498, 236789, 236751, 4068, 2072, 6950, 901, 236789, 500, 580, 40718, 236764, 840, 564, 14275, 910, 8781, 9851, 531, 496, 9526, 2881, 2311, 236761, 564, 236789, 236753, 1133, 531, 16807, 506, 86236, 573, 600, 6060, 531, 1460, 768, 901, 236789, 500, 5158, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13701, 236779, 7656, 236779, 1201, 1083, 623, 6047, 48828, 1289, 827, 623, 10258, 50376, 1083, 3714, 7125, 1083, 623, 176122, 236764, 8288, 827, 623, 24385, 1083, 623, 38667, 827, 623, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236800, 236812, 23179, 623, 5034, 236779, 4818, 1083, 623, 5034, 827, 623, 5455, 236779, 72906, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9526, 86236, 573, 5213, 236940, 6047, 48828, 1289, 1018, 568, 21903, 531, 506, 40718, 2881, 1473, 108, 236772, 5213, 6375, 53121, 27984, 236764, 8288, 138, 107, 236772, 5213, 41022, 53121, 38561, 138, 107, 236772, 5213, 21035, 20214, 53121, 236743, 236778, 236810, 236772, 236800, 236812, 138, 107, 236772, 5213, 14009, 18365, 53121, 23531, 568, 5455, 21866, 580, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 108, 2094, 44898, 901, 4883, 614, 5158, 9526, 6219, 16195, 910, 40718, 2881, 236761, 21284, 611, 1133, 531, 59638, 43285, 11298, 573, 5074, 236772, 19099, 15154, 607, 672, 77358, 236881, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 2765, 531, 59638, 43285, 11298, 573, 12263, 137187, 14248, 236761, 5612, 901, 236858, 500, 5158, 580, 1800, 40718, 532, 9526, 236764, 1217, 1374, 692, 49523, 1023, 4313, 531, 15474, 910, 9998, 3418, 14175, 236881, 1701, 2591, 236764, 1093, 2822, 236772, 845, 2948, 3004, 573, 40718, 33481, 607, 9813, 9526, 25843, 1003, 506, 7972, 2203, 236858, 236751, 4100, 114542, 2480, 236881, 6542, 236764, 1451, 611, 2426, 768, 901, 236858, 560, 7659, 1027, 4803, 67529, 653, 9454, 531, 8913, 1023, 39389, 607, 910, 10521, 236881, 106, 107, 105, 4368, 107, 8409, 564, 1537, 236858, 236745, 735, 1982, 2802, 531, 6436, 573, 32187, 4803, 67529, 653, 3004, 48531, 236764, 564, 740, 2847, 14971, 15136, 2721, 580, 910, 3224, 14739, 528, 5213, 6047, 17861, 1018, 532, 5213, 37939, 49115, 125546, 2915, 5058, 236772, 15396, 1791, 10154, 236787, 108, 7243, 108, 10354, 5213, 15376, 236772, 46163, 98916, 34428, 1018, 107, 236770, 236761, 5213, 132331, 568, 23395, 236772, 3045, 11994, 1473, 1018, 138, 107, 139, 236772, 1255, 3518, 496, 13859, 580, 5213, 236775, 1496, 236772, 495, 236772, 1437, 236772, 9524, 236775, 7972, 3004, 1018, 568, 236744, 236761, 236759, 1126, 29080, 4648, 535, 72927, 236764, 24564, 195221, 769, 138, 107, 139, 236772, 6890, 60194, 9855, 16710, 607, 100264, 1133, 236787, 138, 107, 141, 71510, 46038, 531, 1460, 1217, 822, 3399, 23897, 236881, 178829, 22177, 1023, 9338, 531, 2016, 98300, 236858, 236751, 1171, 88341, 1277, 236772, 18865, 3399, 7972, 9332, 236829, 138, 107, 139, 236772, 12213, 496, 5213, 6639, 236772, 1071, 236772, 2064, 1018, 568, 133360, 236768, 573, 23073, 531, 3517, 506, 9526, 8583, 573, 19276, 19317, 236761, 108, 236778, 236761, 5213, 34207, 568, 92736, 63010, 1473, 1018, 138, 107, 139, 236772, 8600, 496, 5213, 14150, 1018, 151847, 506, 7972, 236858, 236751, 4100, 236764, 607, 20673, 1133, 236787, 138, 107, 141, 71510, 15562, 611, 1281, 3399, 26318, 740, 3553, 2263, 46327, 684, 236743, 236812, 236771, 236908, 236881, 236743, 244608, 5715, 236858, 236751, 1217, 98300, 236858, 236751, 2203, 563, 3043, 496, 4954, 10253, 236829, 138, 107, 139, 236772, 19653, 1392, 6047, 48828, 1289, 532, 3204, 5213, 39699, 236751, 1018, 568, 10281, 50376, 236764, 5609, 6704, 236768, 531, 24739, 531, 910, 9998, 236858, 236751, 24104, 573, 63510, 3819, 40564, 3004, 236761, 108, 7243, 108, 10354, 5213, 13579, 607, 9963, 140766, 1018, 107, 236772, 118189, 5213, 6047, 2780, 3797, 1018, 532, 5213, 8819, 24949, 1018, 568, 42974, 8249, 14739, 769, 138, 107, 236772, 4075, 9042, 969, 5213, 37939, 62901, 1018, 568, 236744, 236761, 236759, 1126, 2196, 28023, 236764, 10974, 6607, 236768, 531, 114542, 607, 910, 4547, 9998, 2979, 236761, 138, 107, 236772, 1637, 901, 236858, 560, 26406, 24488, 9454, 1680, 568, 236744, 236761, 236759, 1126, 144413, 236764, 5743, 236772, 86248, 779, 14806, 1724, 22888, 1131, 506, 7972, 236858, 236751, 3925, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 236770, 236761, 2599, 1755, 3540, 910, 40718, 236786, 42809, 33010, 653, 69700, 12714, 573, 4803, 33000, 236761, 138, 107, 236778, 236761, 46816, 1091, 496, 5213, 236775, 3955, 98889, 236775, 1018, 607, 5058, 236772, 4192, 15594, 10091, 568, 236744, 236761, 236759, 1126, 55552, 118252, 1133, 997, 44412, 1683, 2113, 236764, 44426, 17253, 35007, 531, 506, 7972, 236858, 236751, 4456, 769, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 5498, 12861, 4553, 653, 2777, 3618, 531, 5039, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 3371, 607, 2777, 4009, 77952, 528, 98300, 531, 11723, 1023, 861, 3399, 7972, 2203, 236761, 28344, 611, 3927, 573, 77952, 7467, 528, 24488, 236764, 49115, 236764, 653, 2263, 17861, 2351, 496, 236743, 236810, 236771, 236772, 33432, 12425, 529, 98300, 236764, 17231, 236881, 3551, 8709, 6950, 40718, 532, 10365, 659, 1535, 14175, 236764, 840, 564, 236789, 236753, 992, 1133, 1027, 9526, 10789, 8385, 834, 564, 740, 2426, 910, 86236, 66764, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 111399, 60260, 1083, 78493, 1201, 1083, 623, 17224, 111524, 83523, 827, 623, 19099, 1083, 623, 42809, 827, 623, 76647, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236764, 623, 204830, 1083, 11058, 236751, 152405, 827, 623, 45737, 3999, 14255, 623, 11607, 1083, 623, 236804, 634, 236940, 40717, 11757, 236761, 1364, 23179, 3714, 1201, 1083, 623, 13149, 137187, 14248, 827, 623, 19099, 1083, 623, 132331, 827, 623, 76647, 1083, 236743, 236819, 236778, 236771, 236771, 236764, 623, 204830, 1083, 11058, 6047, 17861, 827, 623, 37939, 49115, 14255, 623, 11607, 1083, 12948, 6047, 48828, 1289, 23179, 3714, 1201, 1083, 623, 147716, 149157, 76638, 827, 623, 19099, 1083, 623, 34207, 827, 623, 76647, 1083, 236743, 236810, 236812, 236771, 236771, 236764, 623, 204830, 1083, 11058, 236751, 152405, 827, 623, 8819, 24949, 14255, 623, 11607, 1083, 623, 236753, 1478, 236761, 1050, 557, 3290, 236940, 22504, 2618, 236761, 2187, 23179, 3714, 1201, 1083, 623, 1683, 2113, 115232, 100387, 827, 623, 19099, 1083, 623, 42809, 827, 623, 76647, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 204830, 1083, 11058, 45737, 3999, 827, 623, 37939, 5699, 14255, 623, 11607, 1083, 623, 716, 2113, 45737, 1094, 2484, 236940, 18112, 236761, 854, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236764, 623, 12485, 236779, 3456, 1083, 623, 236810, 236771, 7635, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 1683, 2113, 236764, 17231, 827, 623, 24385, 1083, 623, 39908, 827, 623, 676, 1083, 236743, 236800, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2777, 4009, 77952, 564, 1765, 2351, 496, 236743, 236810, 236771, 236772, 33432, 12425, 529, 98300, 236764, 17231, 236764, 10317, 580, 24488, 236764, 49115, 236764, 653, 2263, 17861, 236787, 108, 1018, 42809, 53121, 107, 236770, 236761, 5213, 17224, 111524, 83523, 1018, 568, 236770, 236828, 236761, 236810, 236767, 23073, 236768, 138, 107, 139, 91334, 1117, 236787, 72143, 236764, 166858, 138, 107, 139, 11431, 236787, 673, 634, 236940, 40717, 11757, 236761, 1364, 108, 236778, 236761, 5213, 1683, 2113, 115232, 100387, 1018, 568, 236800, 236761, 236812, 236767, 23073, 236768, 138, 107, 139, 91334, 1117, 236787, 166858, 236764, 11493, 37747, 138, 107, 139, 11431, 236787, 652, 2113, 45737, 1094, 2484, 236940, 18112, 236761, 854, 108, 1018, 132331, 53121, 107, 236772, 5213, 13149, 137187, 14248, 1018, 568, 236819, 236761, 236778, 236767, 23073, 236768, 138, 107, 138, 91334, 1117, 236787, 12263, 22682, 236764, 11493, 166858, 138, 107, 138, 11431, 236787, 1392, 6047, 48828, 1289, 108, 1018, 34207, 53121, 107, 236772, 5213, 147716, 149157, 76638, 1018, 568, 236810, 236761, 236812, 236767, 23073, 236768, 138, 107, 139, 91334, 1117, 236787, 72143, 236764, 26762, 83545, 138, 107, 139, 11431, 236787, 226464, 236761, 1050, 557, 3290, 236940, 22504, 2618, 236761, 2187, 138, 107, 139, 1018, 28498, 50376, 53121, 36566, 236764, 17884, 236743, 236800, 236810, 236764, 18186, 528, 98300, 236764, 17231, 108, 9640, 529, 236743, 236812, 77952, 8385, 3418, 14175, 236761, 21284, 611, 1133, 1601, 132187, 43285, 653, 32187, 15154, 19455, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 9526, 86236, 573, 1392, 6047, 48828, 1289, 236881, 669, 12498, 236789, 236751, 4068, 2072, 6950, 901, 236789, 500, 580, 40718, 236764, 840, 564, 14275, 910, 8781, 9851, 531, 496, 9526, 2881, 2311, 236761, 564, 236789, 236753, 1133, 531, 16807, 506, 86236, 573, 600, 6060, 531, 1460, 768, 901, 236789, 500, 5158, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13701, 236779, 7656, 236779, 1201, 1083, 623, 6047, 48828, 1289, 827, 623, 10258, 50376, 1083, 3714, 7125, 1083, 623, 176122, 236764, 8288, 827, 623, 24385, 1083, 623, 38667, 827, 623, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236800, 236812, 23179, 623, 5034, 236779, 4818, 1083, 623, 5034, 827, 623, 5455, 236779, 72906, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9526, 86236, 573, 5213, 236940, 6047, 48828, 1289, 1018, 568, 21903, 531, 506, 40718, 2881, 1473, 108, 236772, 5213, 6375, 53121, 27984, 236764, 8288, 138, 107, 236772, 5213, 41022, 53121, 38561, 138, 107, 236772, 5213, 21035, 20214, 53121, 236743, 236778, 236810, 236772, 236800, 236812, 138, 107, 236772, 5213, 14009, 18365, 53121, 23531, 568, 5455, 21866, 580, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 108, 2094, 44898, 901, 4883, 614, 5158, 9526, 6219, 16195, 910, 40718, 2881, 236761, 21284, 611, 1133, 531, 59638, 43285, 11298, 573, 5074, 236772, 19099, 15154, 607, 672, 77358, 236881, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 2765, 531, 59638, 43285, 11298, 573, 12263, 137187, 14248, 236761, 5612, 901, 236858, 500, 5158, 580, 1800, 40718, 532, 9526, 236764, 1217, 1374, 692, 49523, 1023, 4313, 531, 15474, 910, 9998, 3418, 14175, 236881, 1701, 2591, 236764, 1093, 2822, 236772, 845, 2948, 3004, 573, 40718, 33481, 607, 9813, 9526, 25843, 1003, 506, 7972, 2203, 236858, 236751, 4100, 114542, 2480, 236881, 6542, 236764, 1451, 611, 2426, 768, 901, 236858, 560, 7659, 1027, 4803, 67529, 653, 9454, 531, 8913, 1023, 39389, 607, 910, 10521, 236881, 106, 107, 105, 4368, 107, 8409, 564, 1537, 236858, 236745, 735, 1982, 2802, 531, 6436, 573, 32187, 4803, 67529, 653, 3004, 48531, 236764, 564, 740, 2847, 14971, 15136, 2721, 580, 910, 3224, 14739, 528, 5213, 6047, 17861, 1018, 532, 5213, 37939, 49115, 125546, 2915, 5058, 236772, 15396, 1791, 10154, 236787, 108, 7243, 108, 10354, 5213, 15376, 236772, 46163, 98916, 34428, 1018, 107, 236770, 236761, 5213, 132331, 568, 23395, 236772, 3045, 11994, 1473, 1018, 138, 107, 139, 236772, 1255, 3518, 496, 13859, 580, 5213, 236775, 1496, 236772, 495, 236772, 1437, 236772, 9524, 236775, 7972, 3004, 1018, 568, 236744, 236761, 236759, 1126, 29080, 4648, 535, 72927, 236764, 24564, 195221, 769, 138, 107, 139, 236772, 6890, 60194, 9855, 16710, 607, 100264, 1133, 236787, 138, 107, 141, 71510, 46038, 531, 1460, 1217, 822, 3399, 23897, 236881, 178829, 22177, 1023, 9338, 531, 2016, 98300, 236858, 236751, 1171, 88341, 1277, 236772, 18865, 3399, 7972, 9332, 236829, 138, 107, 139, 236772, 12213, 496, 5213, 6639, 236772, 1071, 236772, 2064, 1018, 568, 133360, 236768, 573, 23073, 531, 3517, 506, 9526, 8583, 573, 19276, 19317, 236761, 108, 236778, 236761, 5213, 34207, 568, 92736, 63010, 1473, 1018, 138, 107, 139, 236772, 8600, 496, 5213, 14150, 1018, 151847, 506, 7972, 236858, 236751, 4100, 236764, 607, 20673, 1133, 236787, 138, 107, 141, 71510, 15562, 611, 1281, 3399, 26318, 740, 3553, 2263, 46327, 684, 236743, 236812, 236771, 236908, 236881, 236743, 244608, 5715, 236858, 236751, 1217, 98300, 236858, 236751, 2203, 563, 3043, 496, 4954, 10253, 236829, 138, 107, 139, 236772, 19653, 1392, 6047, 48828, 1289, 532, 3204, 5213, 39699, 236751, 1018, 568, 10281, 50376, 236764, 5609, 6704, 236768, 531, 24739, 531, 910, 9998, 236858, 236751, 24104, 573, 63510, 3819, 40564, 3004, 236761, 108, 7243, 108, 10354, 5213, 13579, 607, 9963, 140766, 1018, 107, 236772, 118189, 5213, 6047, 2780, 3797, 1018, 532, 5213, 8819, 24949, 1018, 568, 42974, 8249, 14739, 769, 138, 107, 236772, 4075, 9042, 969, 5213, 37939, 62901, 1018, 568, 236744, 236761, 236759, 1126, 2196, 28023, 236764, 10974, 6607, 236768, 531, 114542, 607, 910, 4547, 9998, 2979, 236761, 138, 107, 236772, 1637, 901, 236858, 560, 26406, 24488, 9454, 1680, 568, 236744, 236761, 236759, 1126, 144413, 236764, 5743, 236772, 86248, 779, 14806, 1724, 22888, 1131, 506, 7972, 236858, 236751, 3925, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 236770, 236761, 2599, 1755, 3540, 910, 40718, 236786, 42809, 33010, 653, 69700, 12714, 573, 4803, 33000, 236761, 138, 107, 236778, 236761, 46816, 1091, 496, 5213, 236775, 3955, 98889, 236775, 1018, 607, 5058, 236772, 4192, 15594, 10091, 568, 236744, 236761, 236759, 1126, 55552, 118252, 1133, 997, 44412, 1683, 2113, 236764, 44426, 17253, 35007, 531, 506, 7972, 236858, 236751, 4456, 769, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 5498, 12861, 4553, 653, 2777, 3618, 531, 5039, 1091, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 18840, 36963, 12376, 14491, 580, 225444, 531, 1586, 506, 1346, 9273, 5906, 573, 1719, 12376, 236761, 3792, 236789, 236751, 1502, 684, 67896, 784, 2487, 12376, 14491, 1699, 506, 14431, 73246, 5904, 236761, 9920, 692, 735, 600, 1262, 236764, 564, 1461, 611, 531, 5957, 573, 14491, 1298, 23058, 563, 3477, 506, 3225, 653, 14993, 15130, 236764, 2426, 910, 12376, 4981, 236764, 532, 8701, 1724, 607, 496, 7081, 5754, 2425, 9363, 531, 2344, 1082, 609, 236770, 236771, 236761, 1701, 506, 1626, 2918, 236764, 30493, 506, 9866, 14491, 684, 3385, 18510, 532, 12376, 5542, 531, 1601, 56856, 3435, 1719, 12376, 7760, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73246, 1083, 78493, 16754, 1083, 623, 236917, 24219, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236778, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236819, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 19642, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236778, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236828, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 236798, 11666, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236800, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236828, 236761, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 236796, 3692, 236788, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236810, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236832, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 236917, 11288, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236812, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236825, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 23058, 12376, 14491, 580, 225444, 236764, 24271, 573, 1719, 12376, 86338, 236787, 108, 1018, 8534, 59193, 200343, 568, 13238, 26036, 900, 14533, 14584, 56756, 1473, 1018, 107, 236770, 236761, 5213, 100725, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236770, 236810, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236778, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236819, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 116153, 573, 46840, 236772, 27612, 11298, 607, 10385, 3385, 2970, 236829, 108, 236778, 236761, 5213, 19642, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236828, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236778, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236828, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 230879, 46840, 532, 43866, 573, 217158, 571, 60956, 236829, 108, 1018, 65757, 28636, 53121, 107, 236800, 236761, 5213, 236917, 11288, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236778, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236812, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236825, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 98458, 18510, 840, 3718, 5542, 236793, 4526, 573, 78274, 9935, 236829, 108, 236812, 236761, 5213, 236798, 11666, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236770, 236761, 236778, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236800, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 808, 166920, 18510, 607, 45261, 46840, 236829, 108, 236810, 236761, 5213, 236796, 3692, 236788, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236819, 236771, 236771, 236767, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236810, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236832, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 136074, 18510, 532, 2708, 5542, 236793, 1494, 236772, 37716, 62632, 37707, 236829, 108, 1018, 3503, 12774, 50914, 53121, 138, 107, 236772, 74436, 236786, 38556, 532, 57480, 236786, 38556, 41932, 607, 5213, 236828, 236810, 236908, 529, 2558, 46840, 1018, 532, 10385, 3385, 9108, 236761, 138, 107, 236772, 200343, 607, 5213, 236813, 236812, 20632, 6666, 1018, 568, 236917, 11288, 236764, 142413, 236788, 236768, 1660, 78823, 4721, 236772, 74718, 2779, 531, 4719, 236772, 11047, 1230, 236761, 138, 107, 236772, 2343, 14491, 2874, 506, 5213, 62199, 236770, 236771, 7081, 5754, 2425, 1018, 14272, 573, 36453, 236761, 138, 108, 38786, 611, 1133, 786, 531, 18840, 3385, 43866, 19455, 653, 11317, 9108, 2148, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 18840, 36963, 12376, 14491, 580, 225444, 531, 1586, 506, 1346, 9273, 5906, 573, 1719, 12376, 236761, 3792, 236789, 236751, 1502, 684, 67896, 784, 2487, 12376, 14491, 1699, 506, 14431, 73246, 5904, 236761, 9920, 692, 735, 600, 1262, 236764, 564, 1461, 611, 531, 5957, 573, 14491, 1298, 23058, 563, 3477, 506, 3225, 653, 14993, 15130, 236764, 2426, 910, 12376, 4981, 236764, 532, 8701, 1724, 607, 496, 7081, 5754, 2425, 9363, 531, 2344, 1082, 609, 236770, 236771, 236761, 1701, 506, 1626, 2918, 236764, 30493, 506, 9866, 14491, 684, 3385, 18510, 532, 12376, 5542, 531, 1601, 56856, 3435, 1719, 12376, 7760, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73246, 1083, 78493, 16754, 1083, 623, 236917, 24219, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236778, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236819, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 19642, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236778, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236828, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 236798, 11666, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236800, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236828, 236761, 236810, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 236796, 3692, 236788, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236810, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236832, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 16754, 1083, 623, 236917, 11288, 236786, 38556, 827, 623, 4818, 1083, 623, 5034, 827, 623, 9707, 236779, 43081, 1083, 236743, 236812, 236764, 623, 1387, 236779, 41454, 236779, 2086, 236779, 149508, 1083, 236743, 236825, 236761, 236771, 236764, 623, 20845, 236779, 236778, 236812, 236754, 236779, 149508, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 23058, 12376, 14491, 580, 225444, 236764, 24271, 573, 1719, 12376, 86338, 236787, 108, 1018, 8534, 59193, 200343, 568, 13238, 26036, 900, 14533, 14584, 56756, 1473, 1018, 107, 236770, 236761, 5213, 100725, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236770, 236810, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236778, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236819, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 116153, 573, 46840, 236772, 27612, 11298, 607, 10385, 3385, 2970, 236829, 108, 236778, 236761, 5213, 19642, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236828, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236778, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236828, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 230879, 46840, 532, 43866, 573, 217158, 571, 60956, 236829, 108, 1018, 65757, 28636, 53121, 107, 236800, 236761, 5213, 236917, 11288, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236778, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236812, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236825, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 98458, 18510, 840, 3718, 5542, 236793, 4526, 573, 78274, 9935, 236829, 108, 236812, 236761, 5213, 236798, 11666, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236770, 236761, 236778, 236792, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236800, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 808, 166920, 18510, 607, 45261, 46840, 236829, 108, 236810, 236761, 5213, 236796, 3692, 236788, 236786, 38556, 1018, 138, 107, 139, 236772, 236743, 236778, 236812, 236754, 26036, 236787, 609, 236819, 236771, 236771, 236767, 138, 107, 139, 236772, 14584, 56756, 236787, 236743, 236810, 20632, 6666, 138, 107, 139, 236772, 3079, 17648, 19511, 236787, 609, 236832, 236761, 236771, 236771, 138, 107, 139, 236772, 808, 136074, 18510, 532, 2708, 5542, 236793, 1494, 236772, 37716, 62632, 37707, 236829, 108, 1018, 3503, 12774, 50914, 53121, 138, 107, 236772, 74436, 236786, 38556, 532, 57480, 236786, 38556, 41932, 607, 5213, 236828, 236810, 236908, 529, 2558, 46840, 1018, 532, 10385, 3385, 9108, 236761, 138, 107, 236772, 200343, 607, 5213, 236813, 236812, 20632, 6666, 1018, 568, 236917, 11288, 236764, 142413, 236788, 236768, 1660, 78823, 4721, 236772, 74718, 2779, 531, 4719, 236772, 11047, 1230, 236761, 138, 107, 236772, 2343, 14491, 2874, 506, 5213, 62199, 236770, 236771, 7081, 5754, 2425, 1018, 14272, 573, 36453, 236761, 138, 108, 38786, 611, 1133, 786, 531, 18840, 3385, 43866, 19455, 653, 11317, 9108, 2148, 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, 35513, 2149, 236764, 496, 42289, 699, 11404, 2844, 580, 1041, 1171, 2198, 236772, 1048, 1610, 2460, 573, 1041, 43644, 508, 236772, 52728, 9097, 236761, 564, 1765, 672, 19573, 2760, 623, 818, 4585, 5407, 11404, 236775, 840, 1202, 531, 9128, 1156, 2432, 1680, 22479, 236787, 1171, 236764, 768, 910, 4456, 236789, 236751, 872, 834, 564, 740, 2426, 15830, 236764, 532, 1855, 236764, 531, 5039, 496, 14361, 3618, 531, 1041, 3399, 8324, 236761, 3199, 611, 2426, 768, 506, 4409, 1675, 236761, 2149, 563, 2487, 1699, 2426, 236779, 31935, 236779, 56905, 236881, 1637, 625, 563, 236764, 1299, 17866, 672, 5422, 3618, 531, 14361, 573, 786, 236787, 623, 1882, 236858, 236753, 2765, 531, 4253, 1023, 43644, 508, 1610, 2198, 236772, 1048, 580, 8224, 236764, 6198, 236743, 236778, 236828, 594, 657, 236743, 236778, 8711, 236761, 7323, 9128, 768, 822, 2557, 563, 2487, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2855, 1411, 4409, 1675, 236761, 2149, 827, 623, 18700, 1083, 1847, 236764, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236771, 236764, 623, 5455, 236779, 22011, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236832, 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, 132773, 236779, 1005, 1083, 623, 56377, 2673, 41161, 236785, 236756, 236771, 236771, 12064, 111181, 17215, 2198, 236772, 1048, 569, 29198, 25405, 152388, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 862, 503, 236785, 236756, 236771, 236771, 236744, 236770, 236763, 1438, 236743, 236778, 236828, 569, 55540, 496, 2137, 236743, 236778, 8711, 236761, 10798, 4664, 236764, 206918, 2083, 664, 33960, 1009, 236785, 236756, 236771, 236771, 236744, 236770, 36911, 1781, 236783, 106, 107, 105, 4368, 107, 818, 4456, 5213, 4409, 1675, 236761, 2149, 1018, 563, 5633, 2487, 568, 22005, 4981, 236743, 236778, 236771, 236771, 769, 1599, 740, 7162, 531, 2426, 910, 15830, 573, 822, 2460, 236761, 108, 8291, 236858, 236751, 822, 28700, 3618, 528, 14361, 573, 822, 3399, 8324, 236787, 138, 107, 1018, 236775, 56377, 90747, 31988, 111181, 17215, 2198, 236772, 1048, 569, 29198, 25405, 152388, 6650, 862, 67314, 236743, 236778, 236828, 569, 55540, 496, 2137, 236743, 236778, 8711, 236761, 10798, 4664, 236764, 206918, 2083, 664, 33960, 6227, 36911, 1781, 1018, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 35513, 2149, 236764, 496, 42289, 699, 11404, 2844, 580, 1041, 1171, 2198, 236772, 1048, 1610, 2460, 573, 1041, 43644, 508, 236772, 52728, 9097, 236761, 564, 1765, 672, 19573, 2760, 623, 818, 4585, 5407, 11404, 236775, 840, 1202, 531, 9128, 1156, 2432, 1680, 22479, 236787, 1171, 236764, 768, 910, 4456, 236789, 236751, 872, 834, 564, 740, 2426, 15830, 236764, 532, 1855, 236764, 531, 5039, 496, 14361, 3618, 531, 1041, 3399, 8324, 236761, 3199, 611, 2426, 768, 506, 4409, 1675, 236761, 2149, 563, 2487, 1699, 2426, 236779, 31935, 236779, 56905, 236881, 1637, 625, 563, 236764, 1299, 17866, 672, 5422, 3618, 531, 14361, 573, 786, 236787, 623, 1882, 236858, 236753, 2765, 531, 4253, 1023, 43644, 508, 1610, 2198, 236772, 1048, 580, 8224, 236764, 6198, 236743, 236778, 236828, 594, 657, 236743, 236778, 8711, 236761, 7323, 9128, 768, 822, 2557, 563, 2487, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2855, 1411, 4409, 1675, 236761, 2149, 827, 623, 18700, 1083, 1847, 236764, 623, 2855, 236779, 4818, 1083, 236743, 236778, 236771, 236771, 236764, 623, 5455, 236779, 22011, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236832, 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, 132773, 236779, 1005, 1083, 623, 56377, 2673, 41161, 236785, 236756, 236771, 236771, 12064, 111181, 17215, 2198, 236772, 1048, 569, 29198, 25405, 152388, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 862, 503, 236785, 236756, 236771, 236771, 236744, 236770, 236763, 1438, 236743, 236778, 236828, 569, 55540, 496, 2137, 236743, 236778, 8711, 236761, 10798, 4664, 236764, 206918, 2083, 664, 33960, 1009, 236785, 236756, 236771, 236771, 236744, 236770, 36911, 1781, 236783, 106, 107, 105, 4368, 107, 818, 4456, 5213, 4409, 1675, 236761, 2149, 1018, 563, 5633, 2487, 568, 22005, 4981, 236743, 236778, 236771, 236771, 769, 1599, 740, 7162, 531, 2426, 910, 15830, 573, 822, 2460, 236761, 108, 8291, 236858, 236751, 822, 28700, 3618, 528, 14361, 573, 822, 3399, 8324, 236787, 138, 107, 1018, 236775, 56377, 90747, 31988, 111181, 17215, 2198, 236772, 1048, 569, 29198, 25405, 152388, 6650, 862, 67314, 236743, 236778, 236828, 569, 55540, 496, 2137, 236743, 236778, 8711, 236761, 10798, 4664, 236764, 206918, 2083, 664, 33960, 6227, 36911, 1781, 1018, 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, 1202, 1601, 32826, 496, 97779, 1948, 573, 71086, 3670, 16810, 528, 59869, 45591, 236761, 9187, 684, 1699, 506, 5498, 1292, 531, 33205, 1873, 2436, 15067, 528, 1023, 2433, 236761, 18186, 580, 600, 1262, 236764, 8701, 236743, 236800, 2307, 6130, 861, 16810, 1202, 1346, 236761, 13472, 236764, 1586, 2263, 14477, 1015, 1451, 13157, 236761, 2024, 4491, 753, 1386, 2889, 506, 2436, 1262, 54945, 59869, 45591, 236764, 31566, 532, 711, 1032, 9576, 607, 3361, 5618, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 3714, 16350, 236779, 231787, 1083, 3714, 7125, 1083, 623, 10505, 38365, 45591, 236764, 31566, 827, 623, 28128, 236779, 1344, 1083, 6610, 236778, 236764, 236770, 236810, 236771, 236786, 11283, 827, 623, 153380, 236779, 4720, 1083, 623, 236800, 236761, 236828, 70887, 623, 12363, 236779, 2394, 236779, 45882, 1083, 623, 236812, 236761, 236778, 236908, 216670, 827, 623, 3991, 236779, 10258, 17664, 236779, 22860, 1236, 1083, 11058, 32306, 236779, 8147, 236779, 16518, 827, 623, 23325, 236779, 11401, 236779, 53338, 827, 623, 7043, 236779, 18865, 236779, 25441, 152254, 623, 15443, 236779, 21052, 1083, 3714, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 6047, 236779, 141329, 236779, 52748, 827, 623, 221141, 236779, 21519, 236779, 53247, 827, 623, 205231, 236779, 26377, 236779, 1516, 1935, 5237, 623, 86060, 236779, 19217, 1083, 623, 19057, 236779, 15443, 827, 623, 6275, 236779, 5939, 1083, 623, 3723, 25938, 106, 107, 105, 4368, 107, 22515, 580, 59869, 45591, 236789, 236751, 2436, 15067, 568, 11480, 5056, 573, 6538, 2033, 4065, 236764, 2778, 9286, 236764, 532, 4493, 236772, 18865, 6630, 779, 506, 1806, 2307, 6130, 861, 3670, 16810, 1202, 659, 236787, 138, 107, 236770, 236761, 5213, 35153, 6863, 10856, 43645, 1018, 568, 1071, 2874, 28715, 16332, 573, 4532, 31087, 236768, 138, 107, 236778, 236761, 5213, 35741, 71293, 62840, 1018, 568, 7341, 522, 607, 1903, 15633, 2778, 236772, 11401, 3797, 236768, 138, 107, 236800, 236761, 5213, 132338, 119002, 62382, 1018, 568, 1071, 4883, 2708, 43976, 6224, 1343, 4493, 236772, 18865, 10034, 532, 53591, 7283, 236768, 138, 108, 6445, 236764, 1531, 236858, 236751, 1586, 2263, 14477, 1015, 740, 13157, 531, 506, 97779, 1948, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 16350, 236779, 1516, 1083, 3714, 231787, 1083, 78493, 10618, 1083, 623, 141329, 236779, 54453, 827, 623, 2394, 1083, 623, 13238, 827, 623, 4177, 236779, 45118, 1083, 236743, 236770, 236778, 236761, 236832, 236764, 623, 23184, 1083, 623, 126463, 684, 236743, 236770, 236778, 236761, 236832, 236908, 216670, 236764, 14208, 684, 54548, 16064, 15067, 23179, 3714, 10618, 1083, 623, 28128, 236779, 1344, 827, 623, 2394, 1083, 6610, 236778, 236764, 236812, 236810, 236771, 236786, 11283, 827, 623, 4177, 236779, 45118, 1083, 236743, 236828, 236761, 236778, 236764, 623, 23184, 1083, 623, 236828, 236761, 236778, 236908, 3553, 32427, 10969, 2157, 529, 4882, 30981, 23179, 3714, 10618, 1083, 623, 153380, 236779, 4720, 827, 623, 2394, 1083, 623, 236800, 236761, 236778, 70887, 623, 4177, 236779, 45118, 1083, 753, 236770, 236761, 236810, 236764, 623, 23184, 1083, 623, 219201, 16670, 17674, 3188, 28715, 27215, 25938, 1604, 623, 7125, 236779, 127341, 1083, 623, 10505, 38365, 45591, 236764, 31566, 568, 236792, 3006, 1074, 716, 5796, 236768, 1186, 23179, 623, 62353, 236779, 55283, 1083, 11058, 3258, 781, 52606, 532, 14143, 827, 623, 35153, 2033, 4181, 12434, 827, 623, 94209, 9626, 26937, 14255, 623, 6047, 236779, 128411, 1294, 1083, 78493, 1201, 1083, 623, 34326, 15416, 827, 623, 3250, 1083, 623, 8270, 8813, 8853, 827, 623, 25385, 1083, 623, 10505, 38365, 81317, 6308, 827, 623, 204830, 1083, 11058, 3258, 781, 18088, 827, 623, 132338, 3381, 14255, 623, 11607, 1083, 623, 530, 8218, 236761, 3212, 236940, 3419, 500, 663, 6368, 236761, 854, 23179, 3714, 1201, 1083, 623, 72464, 53363, 827, 623, 3250, 1083, 623, 105318, 27194, 12062, 827, 623, 25385, 1083, 623, 27996, 236772, 3112, 18269, 8381, 827, 623, 204830, 1083, 11058, 80657, 2714, 3797, 827, 623, 94209, 28463, 14255, 623, 11607, 1083, 623, 236752, 5287, 236761, 12684, 619, 236940, 1168, 617, 606, 975, 236761, 854, 23179, 3714, 1201, 1083, 623, 112181, 11860, 827, 623, 3250, 1083, 623, 20235, 23580, 22997, 827, 623, 25385, 1083, 623, 56485, 833, 11629, 85446, 827, 623, 204830, 1083, 11058, 23254, 24107, 236772, 31150, 2621, 827, 623, 190705, 14143, 14255, 623, 11607, 1083, 623, 4545, 16771, 236761, 62785, 1588, 236940, 236804, 624, 236752, 12921, 236761, 854, 25938, 1604, 623, 21052, 1083, 3714, 6275, 236779, 5939, 1083, 623, 3723, 827, 623, 23046, 236779, 2289, 1083, 623, 236812, 236761, 236778, 236751, 827, 623, 1516, 236779, 6265, 1083, 623, 10505, 38365, 45591, 92170, 833, 27792, 529, 26830, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 8708, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 3671, 573, 59869, 45591, 236789, 236751, 97779, 1948, 236787, 108, 1018, 40219, 55163, 1018, 138, 107, 240732, 13810, 8593, 59869, 45591, 236764, 31566, 568, 236792, 3006, 1074, 716, 5796, 236768, 3530, 1262, 236787, 138, 107, 236772, 29748, 7801, 236787, 609, 236778, 236764, 236812, 236810, 236771, 236786, 11283, 568, 236828, 236761, 236778, 236908, 216670, 3553, 236768, 138, 107, 236772, 33014, 5710, 3136, 236787, 236743, 236800, 236761, 236778, 236908, 568, 72348, 16670, 236768, 138, 107, 236772, 8231, 15067, 236787, 148320, 16064, 9204, 5056, 900, 236770, 236778, 236761, 236832, 236908, 216670, 138, 108, 1018, 3503, 39432, 28707, 1018, 138, 107, 236770, 236761, 5213, 35153, 6863, 43645, 1018, 138, 107, 139, 236829, 154902, 684, 997, 236770, 28715, 5056, 573, 6538, 2033, 4065, 236829, 138, 107, 236778, 236761, 5213, 35741, 71293, 62840, 1018, 138, 107, 139, 236829, 28272, 236751, 607, 1855, 1346, 15633, 153624, 568, 23325, 236772, 11401, 3797, 12016, 138, 107, 236800, 236761, 5213, 132338, 119002, 36376, 236751, 1018, 138, 107, 139, 236829, 89740, 573, 16977, 2708, 43976, 6224, 1343, 4493, 236772, 18865, 10034, 900, 53591, 7283, 236829, 108, 1018, 13149, 90265, 10981, 1018, 138, 107, 236770, 236761, 5213, 34326, 15416, 1018, 568, 10505, 38365, 81317, 6308, 236768, 138, 107, 139, 236829, 3258, 781, 18088, 833, 28715, 3381, 236829, 138, 107, 139, 249979, 140468, 236761, 3212, 236940, 3419, 500, 663, 6368, 236761, 854, 138, 108, 236778, 236761, 5213, 72464, 53363, 1018, 568, 27996, 236772, 3112, 18269, 8381, 236768, 138, 107, 139, 236829, 94209, 9626, 900, 69650, 3797, 236829, 138, 107, 139, 249979, 148292, 236761, 12684, 619, 236940, 1168, 617, 606, 975, 236761, 854, 138, 108, 236800, 236761, 5213, 112181, 11860, 1018, 568, 56485, 833, 11629, 85446, 236768, 138, 107, 139, 236829, 23254, 24107, 236772, 31150, 2621, 833, 17286, 14143, 236829, 138, 107, 139, 249979, 2556, 16771, 236761, 62785, 1588, 236940, 236804, 624, 236752, 12921, 236761, 854, 138, 108, 52200, 990, 236787, 236743, 236812, 236761, 236778, 9093, 1699, 59869, 45591, 92170, 833, 27792, 529, 26830, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 1262, 236761, 21284, 611, 1133, 531, 59638, 1027, 13138, 653, 6778, 3530, 4106, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32826, 496, 97779, 1948, 573, 71086, 3670, 16810, 528, 59869, 45591, 236761, 9187, 684, 1699, 506, 5498, 1292, 531, 33205, 1873, 2436, 15067, 528, 1023, 2433, 236761, 18186, 580, 600, 1262, 236764, 8701, 236743, 236800, 2307, 6130, 861, 16810, 1202, 1346, 236761, 13472, 236764, 1586, 2263, 14477, 1015, 1451, 13157, 236761, 2024, 4491, 753, 1386, 2889, 506, 2436, 1262, 54945, 59869, 45591, 236764, 31566, 532, 711, 1032, 9576, 607, 3361, 5618, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 3714, 16350, 236779, 231787, 1083, 3714, 7125, 1083, 623, 10505, 38365, 45591, 236764, 31566, 827, 623, 28128, 236779, 1344, 1083, 6610, 236778, 236764, 236770, 236810, 236771, 236786, 11283, 827, 623, 153380, 236779, 4720, 1083, 623, 236800, 236761, 236828, 70887, 623, 12363, 236779, 2394, 236779, 45882, 1083, 623, 236812, 236761, 236778, 236908, 216670, 827, 623, 3991, 236779, 10258, 17664, 236779, 22860, 1236, 1083, 11058, 32306, 236779, 8147, 236779, 16518, 827, 623, 23325, 236779, 11401, 236779, 53338, 827, 623, 7043, 236779, 18865, 236779, 25441, 152254, 623, 15443, 236779, 21052, 1083, 3714, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 6047, 236779, 141329, 236779, 52748, 827, 623, 221141, 236779, 21519, 236779, 53247, 827, 623, 205231, 236779, 26377, 236779, 1516, 1935, 5237, 623, 86060, 236779, 19217, 1083, 623, 19057, 236779, 15443, 827, 623, 6275, 236779, 5939, 1083, 623, 3723, 25938, 106, 107, 105, 4368, 107, 22515, 580, 59869, 45591, 236789, 236751, 2436, 15067, 568, 11480, 5056, 573, 6538, 2033, 4065, 236764, 2778, 9286, 236764, 532, 4493, 236772, 18865, 6630, 779, 506, 1806, 2307, 6130, 861, 3670, 16810, 1202, 659, 236787, 138, 107, 236770, 236761, 5213, 35153, 6863, 10856, 43645, 1018, 568, 1071, 2874, 28715, 16332, 573, 4532, 31087, 236768, 138, 107, 236778, 236761, 5213, 35741, 71293, 62840, 1018, 568, 7341, 522, 607, 1903, 15633, 2778, 236772, 11401, 3797, 236768, 138, 107, 236800, 236761, 5213, 132338, 119002, 62382, 1018, 568, 1071, 4883, 2708, 43976, 6224, 1343, 4493, 236772, 18865, 10034, 532, 53591, 7283, 236768, 138, 108, 6445, 236764, 1531, 236858, 236751, 1586, 2263, 14477, 1015, 740, 13157, 531, 506, 97779, 1948, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 16350, 236779, 1516, 1083, 3714, 231787, 1083, 78493, 10618, 1083, 623, 141329, 236779, 54453, 827, 623, 2394, 1083, 623, 13238, 827, 623, 4177, 236779, 45118, 1083, 236743, 236770, 236778, 236761, 236832, 236764, 623, 23184, 1083, 623, 126463, 684, 236743, 236770, 236778, 236761, 236832, 236908, 216670, 236764, 14208, 684, 54548, 16064, 15067, 23179, 3714, 10618, 1083, 623, 28128, 236779, 1344, 827, 623, 2394, 1083, 6610, 236778, 236764, 236812, 236810, 236771, 236786, 11283, 827, 623, 4177, 236779, 45118, 1083, 236743, 236828, 236761, 236778, 236764, 623, 23184, 1083, 623, 236828, 236761, 236778, 236908, 3553, 32427, 10969, 2157, 529, 4882, 30981, 23179, 3714, 10618, 1083, 623, 153380, 236779, 4720, 827, 623, 2394, 1083, 623, 236800, 236761, 236778, 70887, 623, 4177, 236779, 45118, 1083, 753, 236770, 236761, 236810, 236764, 623, 23184, 1083, 623, 219201, 16670, 17674, 3188, 28715, 27215, 25938, 1604, 623, 7125, 236779, 127341, 1083, 623, 10505, 38365, 45591, 236764, 31566, 568, 236792, 3006, 1074, 716, 5796, 236768, 1186, 23179, 623, 62353, 236779, 55283, 1083, 11058, 3258, 781, 52606, 532, 14143, 827, 623, 35153, 2033, 4181, 12434, 827, 623, 94209, 9626, 26937, 14255, 623, 6047, 236779, 128411, 1294, 1083, 78493, 1201, 1083, 623, 34326, 15416, 827, 623, 3250, 1083, 623, 8270, 8813, 8853, 827, 623, 25385, 1083, 623, 10505, 38365, 81317, 6308, 827, 623, 204830, 1083, 11058, 3258, 781, 18088, 827, 623, 132338, 3381, 14255, 623, 11607, 1083, 623, 530, 8218, 236761, 3212, 236940, 3419, 500, 663, 6368, 236761, 854, 23179, 3714, 1201, 1083, 623, 72464, 53363, 827, 623, 3250, 1083, 623, 105318, 27194, 12062, 827, 623, 25385, 1083, 623, 27996, 236772, 3112, 18269, 8381, 827, 623, 204830, 1083, 11058, 80657, 2714, 3797, 827, 623, 94209, 28463, 14255, 623, 11607, 1083, 623, 236752, 5287, 236761, 12684, 619, 236940, 1168, 617, 606, 975, 236761, 854, 23179, 3714, 1201, 1083, 623, 112181, 11860, 827, 623, 3250, 1083, 623, 20235, 23580, 22997, 827, 623, 25385, 1083, 623, 56485, 833, 11629, 85446, 827, 623, 204830, 1083, 11058, 23254, 24107, 236772, 31150, 2621, 827, 623, 190705, 14143, 14255, 623, 11607, 1083, 623, 4545, 16771, 236761, 62785, 1588, 236940, 236804, 624, 236752, 12921, 236761, 854, 25938, 1604, 623, 21052, 1083, 3714, 6275, 236779, 5939, 1083, 623, 3723, 827, 623, 23046, 236779, 2289, 1083, 623, 236812, 236761, 236778, 236751, 827, 623, 1516, 236779, 6265, 1083, 623, 10505, 38365, 45591, 92170, 833, 27792, 529, 26830, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 8708, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 3671, 573, 59869, 45591, 236789, 236751, 97779, 1948, 236787, 108, 1018, 40219, 55163, 1018, 138, 107, 240732, 13810, 8593, 59869, 45591, 236764, 31566, 568, 236792, 3006, 1074, 716, 5796, 236768, 3530, 1262, 236787, 138, 107, 236772, 29748, 7801, 236787, 609, 236778, 236764, 236812, 236810, 236771, 236786, 11283, 568, 236828, 236761, 236778, 236908, 216670, 3553, 236768, 138, 107, 236772, 33014, 5710, 3136, 236787, 236743, 236800, 236761, 236778, 236908, 568, 72348, 16670, 236768, 138, 107, 236772, 8231, 15067, 236787, 148320, 16064, 9204, 5056, 900, 236770, 236778, 236761, 236832, 236908, 216670, 138, 108, 1018, 3503, 39432, 28707, 1018, 138, 107, 236770, 236761, 5213, 35153, 6863, 43645, 1018, 138, 107, 139, 236829, 154902, 684, 997, 236770, 28715, 5056, 573, 6538, 2033, 4065, 236829, 138, 107, 236778, 236761, 5213, 35741, 71293, 62840, 1018, 138, 107, 139, 236829, 28272, 236751, 607, 1855, 1346, 15633, 153624, 568, 23325, 236772, 11401, 3797, 12016, 138, 107, 236800, 236761, 5213, 132338, 119002, 36376, 236751, 1018, 138, 107, 139, 236829, 89740, 573, 16977, 2708, 43976, 6224, 1343, 4493, 236772, 18865, 10034, 900, 53591, 7283, 236829, 108, 1018, 13149, 90265, 10981, 1018, 138, 107, 236770, 236761, 5213, 34326, 15416, 1018, 568, 10505, 38365, 81317, 6308, 236768, 138, 107, 139, 236829, 3258, 781, 18088, 833, 28715, 3381, 236829, 138, 107, 139, 249979, 140468, 236761, 3212, 236940, 3419, 500, 663, 6368, 236761, 854, 138, 108, 236778, 236761, 5213, 72464, 53363, 1018, 568, 27996, 236772, 3112, 18269, 8381, 236768, 138, 107, 139, 236829, 94209, 9626, 900, 69650, 3797, 236829, 138, 107, 139, 249979, 148292, 236761, 12684, 619, 236940, 1168, 617, 606, 975, 236761, 854, 138, 108, 236800, 236761, 5213, 112181, 11860, 1018, 568, 56485, 833, 11629, 85446, 236768, 138, 107, 139, 236829, 23254, 24107, 236772, 31150, 2621, 833, 17286, 14143, 236829, 138, 107, 139, 249979, 2556, 16771, 236761, 62785, 1588, 236940, 236804, 624, 236752, 12921, 236761, 854, 138, 108, 52200, 990, 236787, 236743, 236812, 236761, 236778, 9093, 1699, 59869, 45591, 92170, 833, 27792, 529, 26830, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 1262, 236761, 21284, 611, 1133, 531, 59638, 1027, 13138, 653, 6778, 3530, 4106, 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, 1601, 786, 607, 2613, 236881, 106, 107, 105, 4368, 107, 4088, 3003, 236888, 28344, 611, 1531, 786, 1281, 1144, 611, 1202, 1601, 607, 236881, 1701, 2591, 236764, 564, 740, 4024, 496, 4940, 45855, 14993, 768, 611, 236789, 236753, 1133, 886, 236761, 103453, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2260, 496, 10224, 531, 1799, 3773, 573, 2148, 2069, 236761, 3199, 611, 776, 600, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 22479, 22344, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 18544, 236761, 1599, 1149, 1461, 531, 1161, 496, 4301, 22479, 4456, 653, 850, 573, 822, 2864, 236761, 21284, 611, 1133, 786, 531, 4024, 614, 45855, 14993, 1651, 611, 28913, 822, 4301, 236881, 103453, 106, 107, 105, 2364, 107, 12932, 236764, 564, 1460, 236761, 26145, 236764, 3217, 711, 236881, 43550, 496, 14993, 573, 786, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 236761, 753, 18681, 40678, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 45855, 14993, 531, 106744, 822, 1719, 236787, 108, 239794, 165996, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 1781, 236829, 753, 18681, 40678, 73687, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 2264, 886, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 740, 611, 1601, 786, 607, 2613, 236881, 106, 107, 105, 4368, 107, 4088, 3003, 236888, 28344, 611, 1531, 786, 1281, 1144, 611, 1202, 1601, 607, 236881, 1701, 2591, 236764, 564, 740, 4024, 496, 4940, 45855, 14993, 768, 611, 236789, 236753, 1133, 886, 236761, 103453, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2260, 496, 10224, 531, 1799, 3773, 573, 2148, 2069, 236761, 3199, 611, 776, 600, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 22479, 22344, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 18544, 236761, 1599, 1149, 1461, 531, 1161, 496, 4301, 22479, 4456, 653, 850, 573, 822, 2864, 236761, 21284, 611, 1133, 786, 531, 4024, 614, 45855, 14993, 1651, 611, 28913, 822, 4301, 236881, 103453, 106, 107, 105, 2364, 107, 12932, 236764, 564, 1460, 236761, 26145, 236764, 3217, 711, 236881, 43550, 496, 14993, 573, 786, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 236761, 753, 18681, 40678, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 45855, 14993, 531, 106744, 822, 1719, 236787, 108, 239794, 165996, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 1781, 236829, 753, 18681, 40678, 73687, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 2264, 886, 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, 54909, 6828, 7760, 528, 13726, 5417, 4699, 236761, 5315, 236764, 564, 1202, 531, 18840, 506, 11858, 2862, 3736, 529, 7086, 29235, 143877, 568, 64939, 236787, 24179, 1204, 236768, 1024, 506, 3068, 236743, 236825, 3794, 236761, 1637, 910, 4398, 2862, 3385, 691, 2787, 609, 236810, 236771, 236764, 564, 1461, 531, 2426, 1698, 4889, 573, 910, 48725, 10321, 8309, 568, 2371, 1204, 236787, 603, 236771, 236828, 236797, 236800, 236935, 236825, 236863, 236832, 236847, 236768, 580, 9593, 2590, 236761, 1637, 506, 2862, 6984, 31578, 568, 28128, 655, 609, 236800, 236771, 779, 564, 236789, 859, 1202, 531, 18840, 43365, 3211, 5205, 236761, 6542, 236764, 768, 24179, 1204, 1262, 5889, 236789, 236745, 1765, 236764, 2056, 16329, 43804, 60914, 12232, 568, 64939, 236787, 645, 17081, 236768, 1171, 236761, 3199, 611, 6060, 672, 3671, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 9707, 1083, 236743, 236810, 236778, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 9707, 1083, 236743, 236810, 236800, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 9707, 1083, 236743, 236810, 236770, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 9707, 1083, 236743, 236810, 236812, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 9707, 1083, 236743, 236810, 236810, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 9707, 1083, 236743, 236810, 236800, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 9707, 1083, 236743, 236810, 236825, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 9707, 1083, 236743, 236810, 236832, 236761, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236770, 827, 623, 9707, 1083, 236743, 236810, 236828, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 9707, 1083, 236743, 236810, 236819, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 9707, 1083, 236743, 236810, 236828, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236825, 827, 623, 9707, 1083, 236743, 236810, 236832, 236761, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236832, 827, 623, 9707, 1083, 236743, 236810, 236825, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236828, 827, 623, 9707, 1083, 236743, 236810, 236810, 236761, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236819, 827, 623, 9707, 1083, 236743, 236810, 236812, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 9707, 1083, 236743, 236810, 236800, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236800, 827, 623, 9707, 1083, 236743, 236810, 236778, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 827, 623, 9707, 1083, 236743, 236810, 236770, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 9707, 1083, 236743, 236810, 236771, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236825, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236819, 827, 623, 9707, 1083, 236743, 236812, 236828, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 9707, 1083, 236743, 236812, 236832, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 9707, 1083, 236743, 236812, 236828, 236761, 236800, 104960, 623, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236800, 236771, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 64939, 1083, 623, 22618, 1204, 827, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 17224, 29235, 143877, 29277, 31748, 9483, 1684, 827, 623, 42302, 1083, 623, 236799, 236771, 236828, 236797, 236800, 236935, 236825, 236863, 236832, 236847, 827, 623, 19645, 1083, 623, 854, 827, 623, 9707, 1083, 6610, 236778, 236819, 236819, 236761, 236819, 236819, 827, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 13238, 236772, 70687, 236743, 236800, 236771, 236771, 236824, 10321, 8309, 607, 7606, 236772, 36954, 1702, 236764, 9273, 573, 17448, 532, 6635, 35490, 10498, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 1263, 623, 62856, 1083, 3714, 1201, 1083, 623, 17224, 29235, 34883, 13516, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 573, 7086, 29235, 143877, 568, 22618, 1204, 1473, 108, 1018, 27320, 19791, 568, 30651, 236743, 236800, 236771, 753, 6198, 236743, 236800, 236770, 1473, 1018, 107, 236772, 29748, 2862, 3385, 236787, 609, 236810, 236800, 236761, 236832, 236810, 23058, 107, 236772, 14584, 7003, 236787, 58262, 657, 609, 236810, 236778, 236761, 236800, 236771, 236764, 90959, 657, 609, 236810, 236819, 236761, 236770, 236771, 236764, 10714, 657, 609, 236812, 236828, 236761, 236800, 236771, 107, 236772, 29216, 7296, 236787, 900, 236770, 236770, 236761, 236810, 236908, 3553, 1680, 16670, 528, 1626, 2297, 108, 1018, 18574, 5976, 7303, 568, 39460, 2590, 1473, 1018, 107, 1018, 17224, 29235, 143877, 29277, 31748, 9483, 1684, 1018, 568, 2371, 1204, 236787, 603, 236771, 236828, 236797, 236800, 236935, 236825, 236863, 236832, 236847, 236768, 107, 236772, 14584, 236787, 609, 236778, 236819, 236819, 236761, 236819, 236819, 23058, 107, 236772, 75669, 236787, 799, 13827, 568, 40090, 17793, 236768, 107, 236772, 67831, 236787, 236743, 236800, 236771, 236771, 236824, 236764, 1494, 236772, 70687, 236764, 7606, 236772, 36954, 1702, 107, 236772, 12726, 22774, 236787, 236743, 236812, 236761, 236832, 236786, 236810, 236761, 236771, 14470, 699, 236743, 236770, 236764, 236778, 236810, 236771, 10595, 107, 236772, 17243, 236787, 66530, 573, 17448, 532, 6635, 35490, 108, 818, 2862, 6984, 2787, 822, 609, 236810, 236771, 14272, 9785, 4803, 16670, 236761, 669, 1698, 3831, 3188, 2436, 40101, 607, 13671, 21212, 532, 7516, 10595, 236761, 21284, 611, 1133, 531, 18840, 43365, 3211, 618, 1388, 236764, 653, 3213, 580, 4767, 10217, 529, 24179, 1204, 236789, 236751, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 54909, 6828, 7760, 528, 13726, 5417, 4699, 236761, 5315, 236764, 564, 1202, 531, 18840, 506, 11858, 2862, 3736, 529, 7086, 29235, 143877, 568, 64939, 236787, 24179, 1204, 236768, 1024, 506, 3068, 236743, 236825, 3794, 236761, 1637, 910, 4398, 2862, 3385, 691, 2787, 609, 236810, 236771, 236764, 564, 1461, 531, 2426, 1698, 4889, 573, 910, 48725, 10321, 8309, 568, 2371, 1204, 236787, 603, 236771, 236828, 236797, 236800, 236935, 236825, 236863, 236832, 236847, 236768, 580, 9593, 2590, 236761, 1637, 506, 2862, 6984, 31578, 568, 28128, 655, 609, 236800, 236771, 779, 564, 236789, 859, 1202, 531, 18840, 43365, 3211, 5205, 236761, 6542, 236764, 768, 24179, 1204, 1262, 5889, 236789, 236745, 1765, 236764, 2056, 16329, 43804, 60914, 12232, 568, 64939, 236787, 645, 17081, 236768, 1171, 236761, 3199, 611, 6060, 672, 3671, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 9707, 1083, 236743, 236810, 236778, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 9707, 1083, 236743, 236810, 236800, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 9707, 1083, 236743, 236810, 236770, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 9707, 1083, 236743, 236810, 236812, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 9707, 1083, 236743, 236810, 236810, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 9707, 1083, 236743, 236810, 236800, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 9707, 1083, 236743, 236810, 236825, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 9707, 1083, 236743, 236810, 236832, 236761, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236770, 827, 623, 9707, 1083, 236743, 236810, 236828, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 9707, 1083, 236743, 236810, 236819, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 9707, 1083, 236743, 236810, 236828, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236825, 827, 623, 9707, 1083, 236743, 236810, 236832, 236761, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236832, 827, 623, 9707, 1083, 236743, 236810, 236825, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236828, 827, 623, 9707, 1083, 236743, 236810, 236810, 236761, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236819, 827, 623, 9707, 1083, 236743, 236810, 236812, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 9707, 1083, 236743, 236810, 236800, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236800, 827, 623, 9707, 1083, 236743, 236810, 236778, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 827, 623, 9707, 1083, 236743, 236810, 236770, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 9707, 1083, 236743, 236810, 236771, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236825, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236819, 827, 623, 9707, 1083, 236743, 236812, 236828, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 9707, 1083, 236743, 236812, 236832, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 9707, 1083, 236743, 236812, 236828, 236761, 236800, 104960, 623, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236800, 236771, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 64939, 1083, 623, 22618, 1204, 827, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 17224, 29235, 143877, 29277, 31748, 9483, 1684, 827, 623, 42302, 1083, 623, 236799, 236771, 236828, 236797, 236800, 236935, 236825, 236863, 236832, 236847, 827, 623, 19645, 1083, 623, 854, 827, 623, 9707, 1083, 6610, 236778, 236819, 236819, 236761, 236819, 236819, 827, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 13238, 236772, 70687, 236743, 236800, 236771, 236771, 236824, 10321, 8309, 607, 7606, 236772, 36954, 1702, 236764, 9273, 573, 17448, 532, 6635, 35490, 10498, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 1263, 623, 62856, 1083, 3714, 1201, 1083, 623, 17224, 29235, 34883, 13516, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 573, 7086, 29235, 143877, 568, 22618, 1204, 1473, 108, 1018, 27320, 19791, 568, 30651, 236743, 236800, 236771, 753, 6198, 236743, 236800, 236770, 1473, 1018, 107, 236772, 29748, 2862, 3385, 236787, 609, 236810, 236800, 236761, 236832, 236810, 23058, 107, 236772, 14584, 7003, 236787, 58262, 657, 609, 236810, 236778, 236761, 236800, 236771, 236764, 90959, 657, 609, 236810, 236819, 236761, 236770, 236771, 236764, 10714, 657, 609, 236812, 236828, 236761, 236800, 236771, 107, 236772, 29216, 7296, 236787, 900, 236770, 236770, 236761, 236810, 236908, 3553, 1680, 16670, 528, 1626, 2297, 108, 1018, 18574, 5976, 7303, 568, 39460, 2590, 1473, 1018, 107, 1018, 17224, 29235, 143877, 29277, 31748, 9483, 1684, 1018, 568, 2371, 1204, 236787, 603, 236771, 236828, 236797, 236800, 236935, 236825, 236863, 236832, 236847, 236768, 107, 236772, 14584, 236787, 609, 236778, 236819, 236819, 236761, 236819, 236819, 23058, 107, 236772, 75669, 236787, 799, 13827, 568, 40090, 17793, 236768, 107, 236772, 67831, 236787, 236743, 236800, 236771, 236771, 236824, 236764, 1494, 236772, 70687, 236764, 7606, 236772, 36954, 1702, 107, 236772, 12726, 22774, 236787, 236743, 236812, 236761, 236832, 236786, 236810, 236761, 236771, 14470, 699, 236743, 236770, 236764, 236778, 236810, 236771, 10595, 107, 236772, 17243, 236787, 66530, 573, 17448, 532, 6635, 35490, 108, 818, 2862, 6984, 2787, 822, 609, 236810, 236771, 14272, 9785, 4803, 16670, 236761, 669, 1698, 3831, 3188, 2436, 40101, 607, 13671, 21212, 532, 7516, 10595, 236761, 21284, 611, 1133, 531, 18840, 43365, 3211, 618, 1388, 236764, 653, 3213, 580, 4767, 10217, 529, 24179, 1204, 236789, 236751, 3736, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 2072, 573, 506, 9975, 55263, 3399, 4467, 2203, 236761, 5715, 236789, 236751, 506, 12262, 1816, 236787, 623, 818, 861, 4467, 795, 27968, 13726, 67949, 10154, 236764, 2440, 11363, 3732, 5557, 532, 127979, 45248, 3797, 236761, 1191, 6342, 531, 2619, 614, 28597, 236772, 18865, 2557, 600, 12765, 2263, 46327, 1781, 7323, 8430, 506, 1689, 30154, 699, 672, 1816, 532, 1299, 2426, 506, 25411, 1534, 756, 199283, 236789, 532, 756, 41255, 236772, 18865, 6748, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 199283, 827, 623, 1591, 168212, 827, 623, 21877, 3732, 5557, 827, 623, 1256, 7632, 45248, 827, 623, 41255, 236772, 18865, 827, 623, 163914, 2565, 827, 623, 37939, 4467, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 86533, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236783, 106, 107, 105, 4368, 107, 818, 1689, 30154, 23583, 699, 822, 12262, 1816, 659, 236787, 138, 107, 236772, 13726, 138, 107, 236772, 67949, 138, 107, 236772, 11363, 3732, 5557, 138, 107, 236772, 127979, 45248, 138, 107, 236772, 28597, 236772, 18865, 138, 107, 236772, 46327, 138, 107, 236772, 3399, 4467, 138, 108, 818, 25411, 6317, 1534, 623, 199283, 236775, 532, 623, 41255, 236772, 18865, 236775, 563, 5213, 236771, 236761, 236832, 236828, 1018, 568, 498, 496, 5559, 529, 236743, 236771, 236964, 236770, 236764, 1298, 3715, 2979, 10128, 5314, 52322, 25411, 769, 1174, 12205, 506, 3755, 659, 12030, 4596, 528, 6590, 236764, 837, 100146, 1388, 607, 822, 2072, 236789, 236751, 3213, 580, 44145, 17565, 1702, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 2072, 573, 506, 9975, 55263, 3399, 4467, 2203, 236761, 5715, 236789, 236751, 506, 12262, 1816, 236787, 623, 818, 861, 4467, 795, 27968, 13726, 67949, 10154, 236764, 2440, 11363, 3732, 5557, 532, 127979, 45248, 3797, 236761, 1191, 6342, 531, 2619, 614, 28597, 236772, 18865, 2557, 600, 12765, 2263, 46327, 1781, 7323, 8430, 506, 1689, 30154, 699, 672, 1816, 532, 1299, 2426, 506, 25411, 1534, 756, 199283, 236789, 532, 756, 41255, 236772, 18865, 6748, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 199283, 827, 623, 1591, 168212, 827, 623, 21877, 3732, 5557, 827, 623, 1256, 7632, 45248, 827, 623, 41255, 236772, 18865, 827, 623, 163914, 2565, 827, 623, 37939, 4467, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 86533, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236783, 106, 107, 105, 4368, 107, 818, 1689, 30154, 23583, 699, 822, 12262, 1816, 659, 236787, 138, 107, 236772, 13726, 138, 107, 236772, 67949, 138, 107, 236772, 11363, 3732, 5557, 138, 107, 236772, 127979, 45248, 138, 107, 236772, 28597, 236772, 18865, 138, 107, 236772, 46327, 138, 107, 236772, 3399, 4467, 138, 108, 818, 25411, 6317, 1534, 623, 199283, 236775, 532, 623, 41255, 236772, 18865, 236775, 563, 5213, 236771, 236761, 236832, 236828, 1018, 568, 498, 496, 5559, 529, 236743, 236771, 236964, 236770, 236764, 1298, 3715, 2979, 10128, 5314, 52322, 25411, 769, 1174, 12205, 506, 3755, 659, 12030, 4596, 528, 6590, 236764, 837, 100146, 1388, 607, 822, 2072, 236789, 236751, 3213, 580, 44145, 17565, 1702, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 52705, 12441, 4598, 573, 1041, 2260, 5975, 532, 1461, 531, 2619, 496, 6831, 13696, 684, 12657, 699, 1607, 26104, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 496, 28885, 14993, 1003, 4135, 568, 25142, 564, 2765, 708, 236789, 236855, 2167, 29573, 532, 73208, 236789, 236751, 3756, 22888, 769, 1637, 506, 1171, 14993, 8323, 5889, 236789, 236745, 1003, 4135, 236764, 2514, 4875, 3097, 611, 1586, 886, 236761, 59336, 496, 28594, 130398, 2721, 580, 506, 14993, 236789, 236751, 41001, 236761, 236743, 236778, 236761, 12067, 236764, 974, 496, 6647, 236772, 10619, 14993, 1003, 15412, 653, 8052, 568, 44784, 600, 32407, 531, 1041, 6675, 3997, 39927, 769, 1637, 506, 6647, 8038, 7623, 614, 3165, 236764, 3678, 531, 496, 623, 45518, 1275, 236775, 8038, 5205, 236761, 1255, 3518, 496, 31044, 1689, 3003, 600, 44066, 506, 14993, 236789, 236751, 18510, 236761, 236743, 236800, 236761, 13472, 236764, 12270, 496, 2198, 6540, 14993, 1003, 7002, 568, 1363, 522, 531, 1041, 177169, 1972, 769, 1637, 506, 2198, 6540, 8038, 4038, 236789, 236745, 2849, 528, 822, 5904, 236764, 1161, 496, 623, 9524, 236775, 8038, 236761, 53399, 496, 31096, 600, 9282, 623, 17873, 236775, 528, 1061, 11048, 236761, 564, 236789, 859, 1202, 611, 531, 3904, 506, 6831, 607, 1239, 1806, 3003, 236772, 20263, 130194, 236761, 3792, 236789, 236751, 1502, 607, 2918, 886, 753, 1586, 600, 4011, 28885, 4135, 14993, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 547, 1083, 623, 236832, 236781, 236855, 236812, 236757, 236791, 827, 623, 20263, 1083, 623, 46797, 563, 496, 79582, 3155, 753, 840, 4585, 753, 496, 3155, 600, 21727, 531, 577, 79582, 10498, 623, 6386, 1083, 623, 94537, 73208, 827, 623, 10618, 1083, 623, 186966, 827, 623, 19112, 1083, 11058, 39822, 827, 623, 661, 827, 623, 122768, 12273, 1935, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 1346, 2132, 5596, 563, 506, 5596, 531, 15739, 236764, 531, 6303, 2432, 236764, 531, 1460, 1144, 3496, 776, 711, 236761, 1174, 18510, 528, 15412, 563, 506, 13916, 529, 784, 31044, 5609, 10498, 623, 6386, 1083, 623, 40421, 190717, 827, 623, 10618, 1083, 623, 33856, 827, 623, 3278, 236779, 10480, 1083, 11058, 89082, 827, 623, 16988, 14255, 623, 547, 1083, 623, 54371, 236779, 11041, 236779, 236770, 236778, 236800, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 2021, 7002, 506, 31341, 529, 1972, 236764, 886, 1921, 1586, 34824, 528, 506, 77954, 10498, 623, 6386, 1083, 623, 236798, 5657, 12713, 827, 623, 10618, 1083, 623, 7568, 6540, 827, 623, 547, 1083, 623, 7828, 236770, 236778, 236800, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 1018, 818, 1992, 58302, 17424, 236787, 72791, 236764, 24922, 236764, 532, 11400, 21427, 204261, 847, 1018, 108, 7243, 108, 10354, 236743, 243536, 5213, 27216, 236743, 236770, 236787, 72791, 15007, 56892, 1018, 138, 107, 1018, 40943, 53121, 138, 107, 71510, 46797, 563, 496, 79582, 3155, 753, 840, 4585, 753, 496, 3155, 600, 21727, 531, 577, 79582, 1781, 236829, 138, 107, 1018, 14953, 53121, 35649, 73208, 568, 157530, 236768, 138, 108, 1018, 2046, 536, 5482, 53121, 808, 184402, 7768, 34249, 833, 51039, 7357, 641, 616, 607, 121877, 7585, 12604, 236829, 138, 107, 236772, 5213, 902, 64521, 53121, 669, 9530, 529, 9380, 58782, 568, 39822, 236858, 236751, 26444, 236768, 532, 14658, 22892, 568, 661, 3316, 83426, 236768, 44066, 73208, 236858, 236751, 200665, 529, 4135, 236858, 236751, 1459, 1417, 634, 532, 1610, 236858, 236751, 46041, 103210, 236761, 68988, 83659, 607, 496, 18343, 529, 47434, 531, 104184, 5312, 236858, 236751, 121246, 9899, 236761, 108, 7243, 108, 10354, 236743, 249689, 5213, 27216, 236743, 236778, 236787, 7621, 56892, 580, 81396, 1018, 138, 107, 1018, 40943, 53121, 138, 107, 71510, 818, 1346, 2132, 5596, 563, 506, 5596, 531, 15739, 236764, 531, 6303, 2432, 236764, 531, 1460, 1144, 3496, 776, 711, 236761, 1174, 18510, 528, 15412, 563, 506, 13916, 529, 784, 31044, 5609, 1781, 236829, 138, 107, 1018, 14953, 53121, 11181, 190717, 568, 45946, 236768, 138, 108, 1018, 7765, 24435, 53121, 808, 193082, 236772, 15760, 32922, 58322, 607, 2797, 87078, 623, 2100, 36526, 236775, 532, 201752, 46914, 516, 33827, 236829, 138, 107, 236772, 5213, 902, 64521, 53121, 669, 30567, 236858, 236751, 29038, 37163, 568, 65448, 236764, 18997, 129185, 236768, 22136, 190717, 236858, 236751, 20622, 580, 8052, 236761, 2797, 87078, 623, 1516, 3298, 236775, 568, 67908, 236764, 13957, 140808, 236768, 532, 41923, 44685, 76917, 147075, 26285, 3671, 236761, 68988, 607, 496, 16085, 29038, 236772, 30080, 143996, 573, 7426, 18510, 236761, 108, 7243, 108, 10354, 236743, 245357, 5213, 27216, 236743, 236800, 236787, 11400, 21427, 56892, 580, 31814, 1018, 138, 107, 1018, 40943, 53121, 138, 107, 71510, 2021, 7002, 506, 31341, 529, 1972, 236764, 886, 1921, 1586, 34824, 528, 506, 77954, 1781, 236829, 138, 107, 1018, 14953, 53121, 225665, 12713, 568, 11907, 21427, 236768, 138, 108, 1018, 169474, 907, 53121, 808, 89866, 236772, 199481, 90463, 587, 35770, 607, 7707, 42657, 4492, 876, 236829, 138, 107, 236772, 5213, 902, 64521, 53121, 669, 188606, 14403, 532, 37675, 12627, 2754, 506, 31975, 529, 197682, 568, 206851, 236786, 29641, 779, 1651, 5122, 11463, 13586, 496, 6374, 529, 55801, 24070, 16783, 236761, 68988, 528, 496, 3582, 4896, 531, 8357, 506, 7002, 528, 11048, 236761, 108, 7243, 108, 1018, 17667, 7918, 53121, 138, 107, 7795, 3003, 44066, 506, 14993, 236858, 236751, 26761, 237028, 39822, 236858, 236751, 78006, 236764, 65285, 18510, 236764, 532, 1972, 236858, 236751, 41346, 1134, 236761, 3792, 506, 12441, 2727, 618, 496, 12309, 1534, 1610, 236764, 6647, 236764, 532, 121364, 236888, 236743, 247815, 238178, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 52705, 12441, 4598, 573, 1041, 2260, 5975, 532, 1461, 531, 2619, 496, 6831, 13696, 684, 12657, 699, 1607, 26104, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 496, 28885, 14993, 1003, 4135, 568, 25142, 564, 2765, 708, 236789, 236855, 2167, 29573, 532, 73208, 236789, 236751, 3756, 22888, 769, 1637, 506, 1171, 14993, 8323, 5889, 236789, 236745, 1003, 4135, 236764, 2514, 4875, 3097, 611, 1586, 886, 236761, 59336, 496, 28594, 130398, 2721, 580, 506, 14993, 236789, 236751, 41001, 236761, 236743, 236778, 236761, 12067, 236764, 974, 496, 6647, 236772, 10619, 14993, 1003, 15412, 653, 8052, 568, 44784, 600, 32407, 531, 1041, 6675, 3997, 39927, 769, 1637, 506, 6647, 8038, 7623, 614, 3165, 236764, 3678, 531, 496, 623, 45518, 1275, 236775, 8038, 5205, 236761, 1255, 3518, 496, 31044, 1689, 3003, 600, 44066, 506, 14993, 236789, 236751, 18510, 236761, 236743, 236800, 236761, 13472, 236764, 12270, 496, 2198, 6540, 14993, 1003, 7002, 568, 1363, 522, 531, 1041, 177169, 1972, 769, 1637, 506, 2198, 6540, 8038, 4038, 236789, 236745, 2849, 528, 822, 5904, 236764, 1161, 496, 623, 9524, 236775, 8038, 236761, 53399, 496, 31096, 600, 9282, 623, 17873, 236775, 528, 1061, 11048, 236761, 564, 236789, 859, 1202, 611, 531, 3904, 506, 6831, 607, 1239, 1806, 3003, 236772, 20263, 130194, 236761, 3792, 236789, 236751, 1502, 607, 2918, 886, 753, 1586, 600, 4011, 28885, 4135, 14993, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 547, 1083, 623, 236832, 236781, 236855, 236812, 236757, 236791, 827, 623, 20263, 1083, 623, 46797, 563, 496, 79582, 3155, 753, 840, 4585, 753, 496, 3155, 600, 21727, 531, 577, 79582, 10498, 623, 6386, 1083, 623, 94537, 73208, 827, 623, 10618, 1083, 623, 186966, 827, 623, 19112, 1083, 11058, 39822, 827, 623, 661, 827, 623, 122768, 12273, 1935, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 1346, 2132, 5596, 563, 506, 5596, 531, 15739, 236764, 531, 6303, 2432, 236764, 531, 1460, 1144, 3496, 776, 711, 236761, 1174, 18510, 528, 15412, 563, 506, 13916, 529, 784, 31044, 5609, 10498, 623, 6386, 1083, 623, 40421, 190717, 827, 623, 10618, 1083, 623, 33856, 827, 623, 3278, 236779, 10480, 1083, 11058, 89082, 827, 623, 16988, 14255, 623, 547, 1083, 623, 54371, 236779, 11041, 236779, 236770, 236778, 236800, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 2021, 7002, 506, 31341, 529, 1972, 236764, 886, 1921, 1586, 34824, 528, 506, 77954, 10498, 623, 6386, 1083, 623, 236798, 5657, 12713, 827, 623, 10618, 1083, 623, 7568, 6540, 827, 623, 547, 1083, 623, 7828, 236770, 236778, 236800, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 1018, 818, 1992, 58302, 17424, 236787, 72791, 236764, 24922, 236764, 532, 11400, 21427, 204261, 847, 1018, 108, 7243, 108, 10354, 236743, 243536, 5213, 27216, 236743, 236770, 236787, 72791, 15007, 56892, 1018, 138, 107, 1018, 40943, 53121, 138, 107, 71510, 46797, 563, 496, 79582, 3155, 753, 840, 4585, 753, 496, 3155, 600, 21727, 531, 577, 79582, 1781, 236829, 138, 107, 1018, 14953, 53121, 35649, 73208, 568, 157530, 236768, 138, 108, 1018, 2046, 536, 5482, 53121, 808, 184402, 7768, 34249, 833, 51039, 7357, 641, 616, 607, 121877, 7585, 12604, 236829, 138, 107, 236772, 5213, 902, 64521, 53121, 669, 9530, 529, 9380, 58782, 568, 39822, 236858, 236751, 26444, 236768, 532, 14658, 22892, 568, 661, 3316, 83426, 236768, 44066, 73208, 236858, 236751, 200665, 529, 4135, 236858, 236751, 1459, 1417, 634, 532, 1610, 236858, 236751, 46041, 103210, 236761, 68988, 83659, 607, 496, 18343, 529, 47434, 531, 104184, 5312, 236858, 236751, 121246, 9899, 236761, 108, 7243, 108, 10354, 236743, 249689, 5213, 27216, 236743, 236778, 236787, 7621, 56892, 580, 81396, 1018, 138, 107, 1018, 40943, 53121, 138, 107, 71510, 818, 1346, 2132, 5596, 563, 506, 5596, 531, 15739, 236764, 531, 6303, 2432, 236764, 531, 1460, 1144, 3496, 776, 711, 236761, 1174, 18510, 528, 15412, 563, 506, 13916, 529, 784, 31044, 5609, 1781, 236829, 138, 107, 1018, 14953, 53121, 11181, 190717, 568, 45946, 236768, 138, 108, 1018, 7765, 24435, 53121, 808, 193082, 236772, 15760, 32922, 58322, 607, 2797, 87078, 623, 2100, 36526, 236775, 532, 201752, 46914, 516, 33827, 236829, 138, 107, 236772, 5213, 902, 64521, 53121, 669, 30567, 236858, 236751, 29038, 37163, 568, 65448, 236764, 18997, 129185, 236768, 22136, 190717, 236858, 236751, 20622, 580, 8052, 236761, 2797, 87078, 623, 1516, 3298, 236775, 568, 67908, 236764, 13957, 140808, 236768, 532, 41923, 44685, 76917, 147075, 26285, 3671, 236761, 68988, 607, 496, 16085, 29038, 236772, 30080, 143996, 573, 7426, 18510, 236761, 108, 7243, 108, 10354, 236743, 245357, 5213, 27216, 236743, 236800, 236787, 11400, 21427, 56892, 580, 31814, 1018, 138, 107, 1018, 40943, 53121, 138, 107, 71510, 2021, 7002, 506, 31341, 529, 1972, 236764, 886, 1921, 1586, 34824, 528, 506, 77954, 1781, 236829, 138, 107, 1018, 14953, 53121, 225665, 12713, 568, 11907, 21427, 236768, 138, 108, 1018, 169474, 907, 53121, 808, 89866, 236772, 199481, 90463, 587, 35770, 607, 7707, 42657, 4492, 876, 236829, 138, 107, 236772, 5213, 902, 64521, 53121, 669, 188606, 14403, 532, 37675, 12627, 2754, 506, 31975, 529, 197682, 568, 206851, 236786, 29641, 779, 1651, 5122, 11463, 13586, 496, 6374, 529, 55801, 24070, 16783, 236761, 68988, 528, 496, 3582, 4896, 531, 8357, 506, 7002, 528, 11048, 236761, 108, 7243, 108, 1018, 17667, 7918, 53121, 138, 107, 7795, 3003, 44066, 506, 14993, 236858, 236751, 26761, 237028, 39822, 236858, 236751, 78006, 236764, 65285, 18510, 236764, 532, 1972, 236858, 236751, 41346, 1134, 236761, 3792, 506, 12441, 2727, 618, 496, 12309, 1534, 1610, 236764, 6647, 236764, 532, 121364, 236888, 236743, 247815, 238178, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6514, 872, 1041, 2764, 236772, 624, 236772, 7986, 15491, 19717, 657, 506, 36174, 4085, 11493, 6022, 532, 1202, 496, 14993, 699, 496, 2263, 1610, 77358, 580, 40718, 531, 11723, 625, 236761, 564, 1751, 910, 15345, 563, 623, 236758, 69469, 16361, 236779, 661, 236779, 127312, 2098, 840, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 237028, 236777, 236789, 560, 3472, 910, 12714, 1003, 506, 20012, 4085, 54828, 236761, 3199, 611, 1171, 1161, 974, 236779, 2364, 236779, 3906, 531, 2426, 768, 600, 15345, 7519, 236881, 1637, 625, 7623, 614, 3165, 236764, 2056, 623, 236758, 860, 236779, 661, 236779, 38942, 236775, 5205, 236764, 532, 1299, 8091, 506, 12780, 1816, 699, 506, 2430, 8283, 531, 1161, 618, 506, 14993, 236761, 9996, 2889, 625, 236789, 236751, 3980, 573, 506, 3399, 3988, 61381, 236761, 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, 20738, 236779, 547, 1083, 623, 236758, 69469, 16361, 236779, 661, 236779, 127312, 827, 623, 1201, 1083, 623, 161275, 4585, 66130, 827, 623, 36627, 1083, 623, 25262, 1415, 506, 12556, 529, 29918, 1343, 2764, 532, 2173, 15491, 236761, 7685, 5528, 12630, 496, 3925, 529, 506, 20012, 4085, 236789, 236751, 11497, 9899, 532, 25075, 7304, 10498, 623, 76647, 1083, 236743, 236770, 236810, 236812, 236771, 236771, 236764, 623, 87622, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 12780, 699, 506, 40718, 2430, 623, 236758, 69469, 16361, 236779, 661, 236779, 127312, 236775, 563, 5508, 531, 1161, 618, 822, 14993, 236787, 108, 236813, 165996, 25262, 1415, 506, 12556, 529, 29918, 1343, 2764, 532, 2173, 15491, 236761, 7685, 5528, 12630, 496, 3925, 529, 506, 20012, 4085, 236789, 236751, 11497, 9899, 532, 25075, 7304, 1781, 236829, 108, 2094, 563, 3016, 3980, 236764, 63510, 236764, 532, 13275, 32769, 607, 822, 2764, 236772, 624, 236772, 7986, 15491, 19717, 7824, 236761, 2301, 3342, 76121, 659, 4354, 573, 506, 3399, 3988, 61381, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6514, 872, 1041, 2764, 236772, 624, 236772, 7986, 15491, 19717, 657, 506, 36174, 4085, 11493, 6022, 532, 1202, 496, 14993, 699, 496, 2263, 1610, 77358, 580, 40718, 531, 11723, 625, 236761, 564, 1751, 910, 15345, 563, 623, 236758, 69469, 16361, 236779, 661, 236779, 127312, 2098, 840, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 237028, 236777, 236789, 560, 3472, 910, 12714, 1003, 506, 20012, 4085, 54828, 236761, 3199, 611, 1171, 1161, 974, 236779, 2364, 236779, 3906, 531, 2426, 768, 600, 15345, 7519, 236881, 1637, 625, 7623, 614, 3165, 236764, 2056, 623, 236758, 860, 236779, 661, 236779, 38942, 236775, 5205, 236764, 532, 1299, 8091, 506, 12780, 1816, 699, 506, 2430, 8283, 531, 1161, 618, 506, 14993, 236761, 9996, 2889, 625, 236789, 236751, 3980, 573, 506, 3399, 3988, 61381, 236761, 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, 20738, 236779, 547, 1083, 623, 236758, 69469, 16361, 236779, 661, 236779, 127312, 827, 623, 1201, 1083, 623, 161275, 4585, 66130, 827, 623, 36627, 1083, 623, 25262, 1415, 506, 12556, 529, 29918, 1343, 2764, 532, 2173, 15491, 236761, 7685, 5528, 12630, 496, 3925, 529, 506, 20012, 4085, 236789, 236751, 11497, 9899, 532, 25075, 7304, 10498, 623, 76647, 1083, 236743, 236770, 236810, 236812, 236771, 236771, 236764, 623, 87622, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 12780, 699, 506, 40718, 2430, 623, 236758, 69469, 16361, 236779, 661, 236779, 127312, 236775, 563, 5508, 531, 1161, 618, 822, 14993, 236787, 108, 236813, 165996, 25262, 1415, 506, 12556, 529, 29918, 1343, 2764, 532, 2173, 15491, 236761, 7685, 5528, 12630, 496, 3925, 529, 506, 20012, 4085, 236789, 236751, 11497, 9899, 532, 25075, 7304, 1781, 236829, 108, 2094, 563, 3016, 3980, 236764, 63510, 236764, 532, 13275, 32769, 607, 822, 2764, 236772, 624, 236772, 7986, 15491, 19717, 7824, 236761, 2301, 3342, 76121, 659, 4354, 573, 506, 3399, 3988, 61381, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 6508, 12136, 2721, 580, 4500, 69570, 532, 48001, 236761, 21284, 611, 1133, 1601, 607, 31236, 496, 6508, 573, 496, 13294, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 6508, 12136, 2721, 580, 4500, 69570, 532, 48001, 236761, 21284, 611, 1133, 1601, 607, 31236, 496, 6508, 573, 496, 13294, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 740, 611, 1138, 236743, 236800, 532, 236743, 236812, 573, 786, 236881, 564, 236789, 236757, 4875, 531, 2514, 4087, 529, 1041, 2748, 3885, 573, 1041, 639, 16739, 12420, 672, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2330, 1083, 236743, 236832, 236783, 106, 107, 105, 4368, 107, 818, 2324, 529, 236743, 236800, 532, 236743, 236812, 563, 236743, 236832, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 8859, 822, 2748, 3885, 236888, 106, 107, 105, 2364, 107, 12879, 236888, 1637, 564, 2748, 236743, 236800, 3885, 8492, 236764, 236743, 236812, 580, 9863, 236764, 236743, 236810, 580, 10119, 236764, 532, 236743, 236825, 580, 9853, 236764, 1217, 1551, 2558, 3885, 1093, 600, 577, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 580, 4087, 573, 1041, 639, 16739, 128958, 236761, 106, 107, 105, 4368, 107, 818, 2558, 2748, 3885, 699, 8492, 531, 9853, 1093, 577, 5213, 236800, 900, 236743, 236812, 900, 236743, 236810, 900, 236743, 236825, 578, 236743, 236770, 236828, 3885, 84750, 3792, 786, 1281, 768, 611, 1202, 1601, 39919, 653, 16074, 919, 3885, 236888, 103453, 106, 107, 105, 2364, 107, 2859, 564, 2748, 236743, 236778, 919, 3885, 1546, 1719, 699, 7672, 531, 8174, 236764, 600, 236789, 236751, 236743, 236778, 900, 236743, 236778, 900, 236743, 236778, 578, 236743, 236825, 4767, 3885, 236761, 3199, 611, 1138, 600, 531, 506, 236743, 236770, 236828, 3885, 564, 3016, 735, 236881, 564, 1461, 531, 1281, 1041, 2558, 2748, 990, 573, 506, 2069, 834, 2793, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236778, 236812, 236783, 106, 107, 105, 4368, 107, 818, 2558, 2748, 3885, 573, 506, 2069, 236764, 2440, 506, 4767, 236743, 236825, 3885, 699, 7672, 531, 8174, 236764, 1093, 577, 5213, 236778, 236812, 3885, 84750, 3792, 786, 1281, 768, 611, 1202, 531, 6253, 653, 4087, 919, 3885, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 740, 611, 1138, 236743, 236800, 532, 236743, 236812, 573, 786, 236881, 564, 236789, 236757, 4875, 531, 2514, 4087, 529, 1041, 2748, 3885, 573, 1041, 639, 16739, 12420, 672, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2330, 1083, 236743, 236832, 236783, 106, 107, 105, 4368, 107, 818, 2324, 529, 236743, 236800, 532, 236743, 236812, 563, 236743, 236832, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 8859, 822, 2748, 3885, 236888, 106, 107, 105, 2364, 107, 12879, 236888, 1637, 564, 2748, 236743, 236800, 3885, 8492, 236764, 236743, 236812, 580, 9863, 236764, 236743, 236810, 580, 10119, 236764, 532, 236743, 236825, 580, 9853, 236764, 1217, 1551, 2558, 3885, 1093, 600, 577, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 580, 4087, 573, 1041, 639, 16739, 128958, 236761, 106, 107, 105, 4368, 107, 818, 2558, 2748, 3885, 699, 8492, 531, 9853, 1093, 577, 5213, 236800, 900, 236743, 236812, 900, 236743, 236810, 900, 236743, 236825, 578, 236743, 236770, 236828, 3885, 84750, 3792, 786, 1281, 768, 611, 1202, 1601, 39919, 653, 16074, 919, 3885, 236888, 103453, 106, 107, 105, 2364, 107, 2859, 564, 2748, 236743, 236778, 919, 3885, 1546, 1719, 699, 7672, 531, 8174, 236764, 600, 236789, 236751, 236743, 236778, 900, 236743, 236778, 900, 236743, 236778, 578, 236743, 236825, 4767, 3885, 236761, 3199, 611, 1138, 600, 531, 506, 236743, 236770, 236828, 3885, 564, 3016, 735, 236881, 564, 1461, 531, 1281, 1041, 2558, 2748, 990, 573, 506, 2069, 834, 2793, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236778, 236812, 236783, 106, 107, 105, 4368, 107, 818, 2558, 2748, 3885, 573, 506, 2069, 236764, 2440, 506, 4767, 236743, 236825, 3885, 699, 7672, 531, 8174, 236764, 1093, 577, 5213, 236778, 236812, 3885, 84750, 3792, 786, 1281, 768, 611, 1202, 531, 6253, 653, 4087, 919, 3885, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 21558, 9593, 9447, 1204, 236751, 573, 1806, 3530, 15491, 5842, 126549, 236751, 699, 496, 23191, 564, 1765, 236761, 5315, 236764, 1385, 872, 9447, 1204, 573, 126549, 236743, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236810, 568, 45437, 14970, 5957, 5689, 779, 1299, 1161, 126549, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 568, 59667, 590, 78222, 236768, 532, 6861, 126549, 236743, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 568, 14084, 6927, 2890, 769, 7714, 4188, 236789, 236751, 4889, 4911, 580, 49378, 506, 4338, 9447, 1204, 12853, 506, 1698, 6492, 528, 506, 23191, 236761, 3792, 786, 1281, 768, 1027, 126549, 236751, 1660, 65977, 653, 768, 611, 14087, 87613, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42302, 1083, 623, 236799, 236771, 236832, 236917, 236823, 236770, 54283, 236778, 827, 623, 4818, 1083, 623, 10934, 827, 623, 5930, 236779, 10480, 1083, 623, 56753, 14970, 5957, 5689, 10778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42302, 1083, 623, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 827, 623, 5930, 236779, 1201, 1083, 623, 56753, 34960, 590, 79800, 5482, 827, 623, 4818, 1083, 623, 10934, 827, 623, 1048, 236755, 236779, 10480, 1083, 1847, 236764, 623, 33686, 236779, 12103, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42302, 1083, 623, 236799, 236771, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 827, 623, 5930, 236779, 1201, 1083, 623, 10644, 21481, 20864, 827, 623, 10480, 236779, 58578, 1083, 623, 11480, 827, 623, 44095, 236779, 107996, 1083, 623, 7163, 6492, 12853, 126549, 236743, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 10778, 9447, 1204, 236751, 573, 822, 15491, 5842, 126549, 236751, 236787, 108, 236770, 236761, 5213, 6507, 236780, 236743, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236810, 1018, 568, 56753, 67886, 28293, 15806, 1473, 138, 107, 139, 1018, 2371, 1204, 53121, 603, 236771, 236832, 236917, 236823, 236770, 54283, 236778, 138, 107, 139, 240732, 28253, 10778, 684, 9593, 1698, 7948, 236761, 108, 236778, 236761, 5213, 6507, 236780, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 1018, 568, 69249, 590, 79800, 5482, 1473, 138, 107, 139, 1018, 2371, 1204, 53121, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 138, 107, 139, 240732, 45147, 4241, 607, 951, 36929, 2536, 236761, 108, 236800, 236761, 5213, 6507, 236780, 236743, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 1018, 568, 10644, 21481, 20864, 1473, 138, 107, 139, 1018, 2371, 1204, 53121, 603, 236771, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 138, 107, 139, 240732, 4819, 236772, 58578, 4241, 236793, 23191, 6492, 27662, 236761, 108, 3243, 126549, 236751, 21891, 531, 4709, 9447, 1204, 236751, 2180, 57352, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 243826, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21558, 9593, 9447, 1204, 236751, 573, 1806, 3530, 15491, 5842, 126549, 236751, 699, 496, 23191, 564, 1765, 236761, 5315, 236764, 1385, 872, 9447, 1204, 573, 126549, 236743, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236810, 568, 45437, 14970, 5957, 5689, 779, 1299, 1161, 126549, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 568, 59667, 590, 78222, 236768, 532, 6861, 126549, 236743, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 568, 14084, 6927, 2890, 769, 7714, 4188, 236789, 236751, 4889, 4911, 580, 49378, 506, 4338, 9447, 1204, 12853, 506, 1698, 6492, 528, 506, 23191, 236761, 3792, 786, 1281, 768, 1027, 126549, 236751, 1660, 65977, 653, 768, 611, 14087, 87613, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42302, 1083, 623, 236799, 236771, 236832, 236917, 236823, 236770, 54283, 236778, 827, 623, 4818, 1083, 623, 10934, 827, 623, 5930, 236779, 10480, 1083, 623, 56753, 14970, 5957, 5689, 10778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42302, 1083, 623, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 827, 623, 5930, 236779, 1201, 1083, 623, 56753, 34960, 590, 79800, 5482, 827, 623, 4818, 1083, 623, 10934, 827, 623, 1048, 236755, 236779, 10480, 1083, 1847, 236764, 623, 33686, 236779, 12103, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42302, 1083, 623, 236799, 236771, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 827, 623, 5930, 236779, 1201, 1083, 623, 10644, 21481, 20864, 827, 623, 10480, 236779, 58578, 1083, 623, 11480, 827, 623, 44095, 236779, 107996, 1083, 623, 7163, 6492, 12853, 126549, 236743, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 10778, 9447, 1204, 236751, 573, 822, 15491, 5842, 126549, 236751, 236787, 108, 236770, 236761, 5213, 6507, 236780, 236743, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236810, 1018, 568, 56753, 67886, 28293, 15806, 1473, 138, 107, 139, 1018, 2371, 1204, 53121, 603, 236771, 236832, 236917, 236823, 236770, 54283, 236778, 138, 107, 139, 240732, 28253, 10778, 684, 9593, 1698, 7948, 236761, 108, 236778, 236761, 5213, 6507, 236780, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 1018, 568, 69249, 590, 79800, 5482, 1473, 138, 107, 139, 1018, 2371, 1204, 53121, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 138, 107, 139, 240732, 45147, 4241, 607, 951, 36929, 2536, 236761, 108, 236800, 236761, 5213, 6507, 236780, 236743, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 1018, 568, 10644, 21481, 20864, 1473, 138, 107, 139, 1018, 2371, 1204, 53121, 603, 236771, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 138, 107, 139, 240732, 4819, 236772, 58578, 4241, 236793, 23191, 6492, 27662, 236761, 108, 3243, 126549, 236751, 21891, 531, 4709, 9447, 1204, 236751, 2180, 57352, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 243826, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 2506, 496, 3184, 880, 657, 1041, 8268, 1015, 236789, 236751, 4875, 531, 1502, 614, 3489, 4762, 580, 15773, 61227, 236761, 1293, 3189, 993, 236789, 236751, 496, 43365, 993, 600, 236789, 236751, 3490, 1388, 236764, 532, 668, 8150, 531, 1281, 919, 1003, 1091, 236761, 669, 20925, 5853, 563, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236764, 532, 901, 236789, 500, 2721, 528, 22081, 236761, 28344, 611, 8091, 872, 910, 84014, 1527, 236764, 1698, 20673, 236764, 532, 24074, 236881, 564, 1456, 531, 6060, 49692, 3797, 1063, 528, 1041, 2844, 2668, 236764, 532, 564, 1281, 1217, 2132, 672, 1262, 563, 573, 7545, 236761, 5393, 1202, 531, 1386, 2889, 506, 8283, 563, 11459, 834, 564, 740, 2583, 1515, 1535, 9106, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62856, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236764, 623, 5930, 236779, 23251, 1083, 3714, 34807, 236779, 17870, 1083, 236743, 236828, 236810, 236764, 623, 5034, 236779, 17870, 1083, 236743, 236832, 236778, 1263, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 13126, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236771, 1263, 623, 26377, 236779, 1516, 1083, 3714, 25441, 236779, 54492, 1083, 236743, 236778, 236800, 236812, 236810, 236764, 623, 45882, 236779, 45118, 1083, 236743, 236778, 236828, 236761, 236810, 1263, 623, 6275, 236779, 29263, 1083, 3714, 6275, 236779, 4720, 1083, 236743, 236819, 236810, 236764, 623, 28128, 236779, 6275, 236779, 2289, 1083, 623, 236778, 3885, 23179, 623, 93855, 236779, 23251, 1083, 78493, 14801, 1083, 623, 132934, 827, 623, 76647, 1083, 236743, 236819, 236828, 236832, 236771, 236764, 623, 26377, 1083, 236743, 236770, 236825, 236810, 236771, 1263, 3714, 14801, 1083, 623, 110500, 827, 623, 76647, 1083, 236743, 236770, 236778, 236832, 236800, 236764, 623, 26377, 1083, 236743, 236812, 236778, 236771, 104960, 623, 1516, 236779, 28611, 1083, 623, 236819, 236828, 236761, 236832, 236908, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 529, 506, 15773, 61227, 20925, 568, 1735, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236768, 2721, 528, 22081, 236787, 108, 1018, 3503, 116589, 53121, 107, 236772, 5213, 27447, 497, 4308, 53121, 236743, 236770, 236778, 236764, 236810, 236812, 236800, 23073, 568, 236819, 236828, 236761, 236832, 236908, 1262, 10634, 236768, 107, 236772, 5213, 7163, 26398, 53121, 236743, 107, 138, 236772, 236743, 236828, 236810, 2558, 9456, 3211, 107, 138, 236772, 236743, 236832, 236778, 5158, 3211, 5633, 11010, 107, 236772, 5213, 183173, 53121, 107, 138, 236772, 29748, 14470, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 236761, 236771, 107, 138, 236772, 236743, 236770, 236764, 236828, 236819, 236771, 2558, 24074, 4461, 107, 236772, 5213, 27286, 19791, 53121, 107, 138, 236772, 236743, 236778, 236764, 236800, 236812, 236810, 6630, 5463, 107, 138, 236772, 236743, 236778, 236828, 236761, 236810, 236908, 3877, 3136, 107, 236772, 5213, 6126, 116589, 53121, 107, 138, 236772, 236743, 236819, 236810, 236908, 3072, 3136, 107, 138, 236772, 29748, 3072, 990, 236787, 236743, 236778, 3885, 108, 1018, 98472, 166977, 53121, 107, 236772, 5213, 132934, 53121, 236743, 236819, 236764, 236828, 236832, 236771, 23073, 1109, 236743, 236770, 236764, 236825, 236810, 236771, 5886, 107, 236772, 5213, 110500, 53121, 236743, 236770, 236764, 236778, 236832, 236800, 23073, 1109, 236743, 236812, 236778, 236771, 5886, 108, 2094, 20925, 7412, 531, 577, 14980, 12117, 607, 1494, 15154, 532, 3877, 236761, 21284, 611, 1133, 786, 531, 18840, 3530, 10217, 529, 672, 1262, 531, 1601, 60519, 13128, 11298, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 2506, 496, 3184, 880, 657, 1041, 8268, 1015, 236789, 236751, 4875, 531, 1502, 614, 3489, 4762, 580, 15773, 61227, 236761, 1293, 3189, 993, 236789, 236751, 496, 43365, 993, 600, 236789, 236751, 3490, 1388, 236764, 532, 668, 8150, 531, 1281, 919, 1003, 1091, 236761, 669, 20925, 5853, 563, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236764, 532, 901, 236789, 500, 2721, 528, 22081, 236761, 28344, 611, 8091, 872, 910, 84014, 1527, 236764, 1698, 20673, 236764, 532, 24074, 236881, 564, 1456, 531, 6060, 49692, 3797, 1063, 528, 1041, 2844, 2668, 236764, 532, 564, 1281, 1217, 2132, 672, 1262, 563, 573, 7545, 236761, 5393, 1202, 531, 1386, 2889, 506, 8283, 563, 11459, 834, 564, 740, 2583, 1515, 1535, 9106, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62856, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236764, 623, 5930, 236779, 23251, 1083, 3714, 34807, 236779, 17870, 1083, 236743, 236828, 236810, 236764, 623, 5034, 236779, 17870, 1083, 236743, 236832, 236778, 1263, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 13126, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236771, 1263, 623, 26377, 236779, 1516, 1083, 3714, 25441, 236779, 54492, 1083, 236743, 236778, 236800, 236812, 236810, 236764, 623, 45882, 236779, 45118, 1083, 236743, 236778, 236828, 236761, 236810, 1263, 623, 6275, 236779, 29263, 1083, 3714, 6275, 236779, 4720, 1083, 236743, 236819, 236810, 236764, 623, 28128, 236779, 6275, 236779, 2289, 1083, 623, 236778, 3885, 23179, 623, 93855, 236779, 23251, 1083, 78493, 14801, 1083, 623, 132934, 827, 623, 76647, 1083, 236743, 236819, 236828, 236832, 236771, 236764, 623, 26377, 1083, 236743, 236770, 236825, 236810, 236771, 1263, 3714, 14801, 1083, 623, 110500, 827, 623, 76647, 1083, 236743, 236770, 236778, 236832, 236800, 236764, 623, 26377, 1083, 236743, 236812, 236778, 236771, 104960, 623, 1516, 236779, 28611, 1083, 623, 236819, 236828, 236761, 236832, 236908, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 529, 506, 15773, 61227, 20925, 568, 1735, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236768, 2721, 528, 22081, 236787, 108, 1018, 3503, 116589, 53121, 107, 236772, 5213, 27447, 497, 4308, 53121, 236743, 236770, 236778, 236764, 236810, 236812, 236800, 23073, 568, 236819, 236828, 236761, 236832, 236908, 1262, 10634, 236768, 107, 236772, 5213, 7163, 26398, 53121, 236743, 107, 138, 236772, 236743, 236828, 236810, 2558, 9456, 3211, 107, 138, 236772, 236743, 236832, 236778, 5158, 3211, 5633, 11010, 107, 236772, 5213, 183173, 53121, 107, 138, 236772, 29748, 14470, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 236761, 236771, 107, 138, 236772, 236743, 236770, 236764, 236828, 236819, 236771, 2558, 24074, 4461, 107, 236772, 5213, 27286, 19791, 53121, 107, 138, 236772, 236743, 236778, 236764, 236800, 236812, 236810, 6630, 5463, 107, 138, 236772, 236743, 236778, 236828, 236761, 236810, 236908, 3877, 3136, 107, 236772, 5213, 6126, 116589, 53121, 107, 138, 236772, 236743, 236819, 236810, 236908, 3072, 3136, 107, 138, 236772, 29748, 3072, 990, 236787, 236743, 236778, 3885, 108, 1018, 98472, 166977, 53121, 107, 236772, 5213, 132934, 53121, 236743, 236819, 236764, 236828, 236832, 236771, 23073, 1109, 236743, 236770, 236764, 236825, 236810, 236771, 5886, 107, 236772, 5213, 110500, 53121, 236743, 236770, 236764, 236778, 236832, 236800, 23073, 1109, 236743, 236812, 236778, 236771, 5886, 108, 2094, 20925, 7412, 531, 577, 14980, 12117, 607, 1494, 15154, 532, 3877, 236761, 21284, 611, 1133, 786, 531, 18840, 3530, 10217, 529, 672, 1262, 531, 1601, 60519, 13128, 11298, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 3399, 2460, 600, 28619, 32286, 4252, 236764, 26448, 37297, 236764, 532, 7644, 12556, 2780, 236761, 564, 1202, 1601, 8159, 506, 1447, 36010, 531, 11723, 625, 11974, 236761, 5315, 236764, 1451, 611, 1161, 1791, 236779, 236759, 580, 623, 200729, 236775, 531, 1586, 4596, 4171, 600, 2473, 114542, 607, 1023, 2263, 3399, 236881, 4298, 236764, 1531, 236789, 236751, 1460, 1217, 1724, 3755, 3371, 531, 1873, 4668, 14050, 684, 4710, 1903, 236779, 236810, 236771, 236779, 236749, 580, 9002, 3952, 1063, 236761, 13472, 236764, 768, 1027, 2404, 236772, 10619, 3755, 1407, 872, 528, 506, 4668, 4403, 236764, 564, 236789, 236753, 1133, 531, 11327, 910, 5526, 17141, 1699, 1791, 236779, 236757, 236761, 3792, 236789, 236751, 974, 3931, 607, 600, 1171, 2918, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 8992, 1083, 11058, 224673, 827, 623, 125355, 827, 623, 110546, 827, 623, 7175, 827, 623, 167821, 650, 827, 623, 548, 1045, 3203, 567, 827, 623, 236750, 89662, 827, 623, 23497, 650, 567, 827, 623, 141945, 827, 623, 5168, 134035, 827, 623, 38906, 827, 623, 22945, 6279, 43810, 827, 623, 200729, 3911, 827, 623, 43850, 1034, 827, 623, 13665, 37099, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 42103, 1083, 11058, 200729, 3911, 827, 623, 50771, 7296, 827, 623, 66089, 3668, 11089, 827, 623, 7175, 6933, 827, 623, 167821, 650, 827, 623, 22945, 6279, 117710, 827, 623, 57643, 8759, 41088, 827, 623, 135043, 228346, 827, 623, 50771, 54761, 827, 623, 1045, 59235, 827, 623, 16360, 873, 7105, 827, 623, 23497, 650, 567, 827, 623, 8916, 15653, 827, 623, 200729, 26448, 827, 623, 50771, 9834, 827, 623, 20418, 52210, 827, 623, 200729, 16573, 827, 623, 31189, 835, 118731, 827, 623, 50771, 84969, 827, 623, 200729, 176223, 827, 623, 236770, 236819, 236778, 236771, 236751, 88539, 827, 623, 200729, 19549, 827, 623, 8916, 62901, 827, 623, 200729, 41550, 827, 623, 50771, 23060, 827, 623, 200729, 28968, 827, 623, 8916, 6540, 827, 623, 200729, 4083, 827, 623, 22945, 6279, 117710, 827, 623, 200729, 7630, 827, 623, 200729, 11294, 827, 623, 50771, 5619, 827, 623, 200729, 22327, 827, 623, 8916, 21623, 1929, 827, 623, 200729, 3736, 827, 623, 50771, 21077, 827, 623, 200729, 13862, 827, 623, 22945, 6279, 117710, 827, 623, 200729, 54761, 827, 623, 50771, 4100, 827, 623, 200729, 30680, 827, 623, 8916, 3399, 827, 623, 200729, 35460, 827, 623, 50771, 7296, 827, 623, 200729, 54491, 827, 623, 22945, 6279, 117710, 827, 623, 200729, 24597, 827, 623, 50771, 22327, 827, 623, 200729, 119496, 827, 623, 8916, 24597, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32596, 236779, 42103, 1083, 11058, 115828, 835, 827, 623, 13569, 30500, 10834, 827, 623, 9215, 52198, 827, 623, 22968, 133944, 827, 623, 1387, 23099, 827, 623, 1653, 31444, 22521, 827, 623, 12919, 1863, 151268, 827, 623, 49387, 151268, 827, 623, 13569, 30500, 28693, 827, 623, 533, 3015, 18073, 14255, 623, 6875, 1083, 623, 57177, 532, 35677, 6647, 36010, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 1023, 12396, 3418, 1546, 8610, 236787, 108, 1018, 155351, 833, 32462, 17605, 568, 2543, 1791, 236779, 236759, 580, 623, 200729, 1373, 1018, 138, 107, 3503, 3755, 236787, 808, 22945, 6279, 43810, 236764, 32286, 26448, 236764, 9226, 9834, 236764, 27674, 650, 567, 236764, 51964, 236764, 176223, 236829, 138, 107, 9208, 3371, 531, 822, 2460, 236789, 236751, 25075, 13916, 532, 3399, 23060, 236761, 108, 1018, 18626, 17605, 884, 36374, 568, 2543, 1903, 236779, 236810, 236771, 236779, 236749, 580, 623, 22945, 6279, 43810, 1373, 1018, 138, 107, 32899, 80092, 236787, 808, 50771, 84969, 236764, 2764, 62901, 236764, 28885, 118731, 236764, 32286, 54491, 236829, 138, 107, 124912, 1239, 531, 1873, 23695, 1003, 9226, 21077, 532, 9578, 5619, 528, 4009, 236761, 108, 1018, 19924, 92988, 568, 2543, 1791, 236779, 236757, 580, 623, 52198, 1373, 1018, 138, 107, 51274, 4403, 236787, 808, 13569, 30500, 10834, 236764, 216955, 151268, 236764, 33901, 236764, 37477, 236764, 149612, 22521, 236829, 138, 107, 9208, 3755, 18855, 506, 623, 37841, 236775, 6084, 529, 822, 12556, 2780, 31622, 1343, 496, 9737, 14970, 236761, 108, 1018, 132617, 228571, 46980, 53121, 138, 107, 236775, 49676, 506, 808, 50771, 84969, 236829, 529, 32286, 26448, 20239, 808, 13569, 30500, 23069, 236829, 2192, 1298, 808, 23497, 650, 774, 89970, 236829, 532, 808, 115828, 835, 7002, 236829, 2619, 496, 808, 43850, 1034, 236829, 573, 3666, 236764, 2742, 236764, 532, 12556, 1781, 108, 38786, 611, 1133, 531, 59638, 1027, 529, 1239, 13792, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 3399, 2460, 600, 28619, 32286, 4252, 236764, 26448, 37297, 236764, 532, 7644, 12556, 2780, 236761, 564, 1202, 1601, 8159, 506, 1447, 36010, 531, 11723, 625, 11974, 236761, 5315, 236764, 1451, 611, 1161, 1791, 236779, 236759, 580, 623, 200729, 236775, 531, 1586, 4596, 4171, 600, 2473, 114542, 607, 1023, 2263, 3399, 236881, 4298, 236764, 1531, 236789, 236751, 1460, 1217, 1724, 3755, 3371, 531, 1873, 4668, 14050, 684, 4710, 1903, 236779, 236810, 236771, 236779, 236749, 580, 9002, 3952, 1063, 236761, 13472, 236764, 768, 1027, 2404, 236772, 10619, 3755, 1407, 872, 528, 506, 4668, 4403, 236764, 564, 236789, 236753, 1133, 531, 11327, 910, 5526, 17141, 1699, 1791, 236779, 236757, 236761, 3792, 236789, 236751, 974, 3931, 607, 600, 1171, 2918, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 8992, 1083, 11058, 224673, 827, 623, 125355, 827, 623, 110546, 827, 623, 7175, 827, 623, 167821, 650, 827, 623, 548, 1045, 3203, 567, 827, 623, 236750, 89662, 827, 623, 23497, 650, 567, 827, 623, 141945, 827, 623, 5168, 134035, 827, 623, 38906, 827, 623, 22945, 6279, 43810, 827, 623, 200729, 3911, 827, 623, 43850, 1034, 827, 623, 13665, 37099, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 42103, 1083, 11058, 200729, 3911, 827, 623, 50771, 7296, 827, 623, 66089, 3668, 11089, 827, 623, 7175, 6933, 827, 623, 167821, 650, 827, 623, 22945, 6279, 117710, 827, 623, 57643, 8759, 41088, 827, 623, 135043, 228346, 827, 623, 50771, 54761, 827, 623, 1045, 59235, 827, 623, 16360, 873, 7105, 827, 623, 23497, 650, 567, 827, 623, 8916, 15653, 827, 623, 200729, 26448, 827, 623, 50771, 9834, 827, 623, 20418, 52210, 827, 623, 200729, 16573, 827, 623, 31189, 835, 118731, 827, 623, 50771, 84969, 827, 623, 200729, 176223, 827, 623, 236770, 236819, 236778, 236771, 236751, 88539, 827, 623, 200729, 19549, 827, 623, 8916, 62901, 827, 623, 200729, 41550, 827, 623, 50771, 23060, 827, 623, 200729, 28968, 827, 623, 8916, 6540, 827, 623, 200729, 4083, 827, 623, 22945, 6279, 117710, 827, 623, 200729, 7630, 827, 623, 200729, 11294, 827, 623, 50771, 5619, 827, 623, 200729, 22327, 827, 623, 8916, 21623, 1929, 827, 623, 200729, 3736, 827, 623, 50771, 21077, 827, 623, 200729, 13862, 827, 623, 22945, 6279, 117710, 827, 623, 200729, 54761, 827, 623, 50771, 4100, 827, 623, 200729, 30680, 827, 623, 8916, 3399, 827, 623, 200729, 35460, 827, 623, 50771, 7296, 827, 623, 200729, 54491, 827, 623, 22945, 6279, 117710, 827, 623, 200729, 24597, 827, 623, 50771, 22327, 827, 623, 200729, 119496, 827, 623, 8916, 24597, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32596, 236779, 42103, 1083, 11058, 115828, 835, 827, 623, 13569, 30500, 10834, 827, 623, 9215, 52198, 827, 623, 22968, 133944, 827, 623, 1387, 23099, 827, 623, 1653, 31444, 22521, 827, 623, 12919, 1863, 151268, 827, 623, 49387, 151268, 827, 623, 13569, 30500, 28693, 827, 623, 533, 3015, 18073, 14255, 623, 6875, 1083, 623, 57177, 532, 35677, 6647, 36010, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 1023, 12396, 3418, 1546, 8610, 236787, 108, 1018, 155351, 833, 32462, 17605, 568, 2543, 1791, 236779, 236759, 580, 623, 200729, 1373, 1018, 138, 107, 3503, 3755, 236787, 808, 22945, 6279, 43810, 236764, 32286, 26448, 236764, 9226, 9834, 236764, 27674, 650, 567, 236764, 51964, 236764, 176223, 236829, 138, 107, 9208, 3371, 531, 822, 2460, 236789, 236751, 25075, 13916, 532, 3399, 23060, 236761, 108, 1018, 18626, 17605, 884, 36374, 568, 2543, 1903, 236779, 236810, 236771, 236779, 236749, 580, 623, 22945, 6279, 43810, 1373, 1018, 138, 107, 32899, 80092, 236787, 808, 50771, 84969, 236764, 2764, 62901, 236764, 28885, 118731, 236764, 32286, 54491, 236829, 138, 107, 124912, 1239, 531, 1873, 23695, 1003, 9226, 21077, 532, 9578, 5619, 528, 4009, 236761, 108, 1018, 19924, 92988, 568, 2543, 1791, 236779, 236757, 580, 623, 52198, 1373, 1018, 138, 107, 51274, 4403, 236787, 808, 13569, 30500, 10834, 236764, 216955, 151268, 236764, 33901, 236764, 37477, 236764, 149612, 22521, 236829, 138, 107, 9208, 3755, 18855, 506, 623, 37841, 236775, 6084, 529, 822, 12556, 2780, 31622, 1343, 496, 9737, 14970, 236761, 108, 1018, 132617, 228571, 46980, 53121, 138, 107, 236775, 49676, 506, 808, 50771, 84969, 236829, 529, 32286, 26448, 20239, 808, 13569, 30500, 23069, 236829, 2192, 1298, 808, 23497, 650, 774, 89970, 236829, 532, 808, 115828, 835, 7002, 236829, 2619, 496, 808, 43850, 1034, 236829, 573, 3666, 236764, 2742, 236764, 532, 12556, 1781, 108, 38786, 611, 1133, 531, 59638, 1027, 529, 1239, 13792, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 1202, 1938, 1003, 29277, 8245, 236789, 236751, 8568, 34637, 3019, 236761, 562, 4389, 6950, 901, 236789, 500, 4913, 528, 38784, 11560, 236764, 532, 564, 236789, 236757, 23210, 1003, 4875, 1091, 855, 236761, 28344, 611, 4024, 910, 5125, 4456, 10739, 236764, 4889, 1003, 910, 2509, 31622, 236764, 532, 1217, 531, 3662, 910, 5602, 1894, 236881, 564, 1461, 531, 1386, 2889, 901, 236789, 500, 496, 26576, 5058, 1680, 21502, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15897, 236779, 2865, 3747, 1083, 11058, 45417, 34637, 568, 78304, 236764, 18660, 236764, 22703, 22730, 623, 28898, 34637, 607, 1759, 236772, 2289, 26844, 827, 623, 31335, 17340, 4972, 568, 57569, 236764, 42470, 22730, 623, 21301, 40246, 43752, 573, 861, 3295, 827, 623, 26637, 34637, 850, 15830, 14255, 623, 56488, 236779, 31935, 1083, 623, 2574, 1411, 2769, 236761, 80465, 8245, 236761, 854, 827, 623, 11607, 236779, 9442, 1083, 3714, 6774, 1083, 623, 9442, 236940, 80465, 8245, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 236743, 236832, 236828, 236819, 827, 623, 28699, 236779, 12952, 1083, 623, 21550, 236743, 236778, 236812, 236786, 236832, 580, 4456, 23179, 623, 57819, 236779, 7720, 1083, 623, 236770, 236778, 236800, 69197, 6487, 236747, 6718, 236764, 9252, 236743, 236810, 236764, 10001, 20439, 56680, 4085, 236764, 22265, 827, 623, 155215, 236779, 3906, 1083, 3714, 122910, 236779, 2003, 1083, 623, 236780, 2710, 236785, 236756, 236771, 236771, 236744, 236832, 4279, 545, 138312, 19430, 827, 623, 31455, 236779, 5640, 1083, 623, 9179, 236814, 236772, 4340, 2293, 38536, 236824, 236771, 236825, 236770, 236810, 236778, 236771, 236778, 236800, 127096, 106, 107, 105, 4368, 107, 75896, 8245, 563, 496, 26576, 3489, 8568, 34637, 5058, 4913, 528, 22265, 532, 38784, 11560, 236761, 5715, 236789, 236751, 506, 9813, 1938, 611, 15633, 236787, 108, 1018, 4098, 46816, 1013, 1018, 138, 107, 236772, 14669, 34637, 236787, 24458, 236764, 18660, 236764, 22703, 236764, 532, 919, 138, 107, 236772, 15097, 34637, 607, 1759, 236772, 2289, 26844, 12496, 138, 107, 236772, 13118, 17340, 4972, 236787, 114850, 236764, 42470, 236764, 532, 1032, 2633, 4972, 138, 107, 236772, 68039, 42527, 43752, 573, 861, 3295, 138, 107, 236772, 18424, 34637, 850, 573, 21019, 532, 9574, 7359, 138, 108, 1018, 68734, 21124, 1018, 138, 107, 245958, 870, 75896, 8245, 236761, 854, 5457, 2574, 1411, 2769, 236761, 80465, 8245, 236761, 854, 236768, 138, 108, 1018, 19952, 12730, 1018, 138, 107, 236772, 236743, 249979, 19955, 236787, 1894, 236940, 80465, 8245, 236761, 854, 138, 107, 236772, 236743, 246080, 23386, 236787, 900, 236828, 236812, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 236743, 236832, 236828, 236819, 138, 107, 236772, 236743, 244893, 15097, 25380, 236787, 18326, 236743, 236778, 236812, 236786, 236832, 580, 910, 4456, 138, 108, 1018, 48265, 15874, 1018, 138, 107, 236770, 236778, 236800, 69197, 6487, 236747, 6718, 236764, 9252, 236743, 236810, 236764, 10001, 20439, 56680, 4085, 236764, 22265, 138, 108, 1018, 190705, 8230, 1018, 138, 107, 188841, 684, 506, 5213, 236780, 2710, 147148, 545, 138312, 19430, 1018, 568, 29105, 997, 9179, 236814, 236772, 4340, 2293, 38536, 236824, 236771, 236825, 236770, 236810, 236778, 236771, 236778, 236800, 779, 17096, 14143, 607, 5251, 18612, 8443, 236761, 138, 108, 38786, 611, 1133, 65977, 580, 1027, 529, 1239, 4889, 1680, 26891, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 4889, 236888, 564, 14275, 29277, 8245, 563, 2721, 528, 22265, 753, 1677, 910, 2509, 981, 573, 5089, 528, 17850, 236764, 8288, 236881, 564, 1461, 531, 2056, 34637, 580, 1041, 8126, 21637, 2434, 236789, 236751, 4972, 236764, 840, 564, 1202, 531, 1386, 2889, 901, 4242, 5103, 699, 506, 3640, 4184, 236761, 6542, 236764, 659, 993, 1027, 3530, 9413, 3149, 531, 16807, 9834, 1913, 15020, 236881, 106, 107, 105, 4368, 107, 75896, 8245, 236789, 236751, 3019, 659, 13336, 10317, 580, 38784, 11560, 236764, 532, 1651, 910, 188339, 147148, 10945, 5862, 1091, 531, 12833, 35595, 236764, 15830, 528, 3530, 9576, 1133, 17850, 236764, 8288, 236764, 9796, 580, 2263, 12159, 236761, 17850, 22779, 24335, 3489, 8568, 34637, 236764, 840, 29277, 8245, 236858, 236751, 1873, 6675, 776, 711, 25010, 3328, 749, 236761, 236773, 236761, 9766, 236761, 2282, 9128, 40243, 236764, 611, 1093, 1202, 531, 236787, 138, 107, 236770, 236761, 7179, 29277, 8245, 236858, 236751, 4456, 3755, 529, 2509, 573, 113301, 14523, 236761, 138, 107, 236778, 236761, 13948, 910, 1894, 2434, 5467, 568, 15218, 4553, 236786, 5275, 2787, 236768, 531, 2679, 1003, 749, 236761, 236773, 236761, 2802, 236761, 138, 108, 1018, 44383, 55974, 66515, 138, 107, 14254, 14175, 1133, 29277, 8245, 1660, 4077, 200310, 568, 39201, 5180, 17438, 236768, 28250, 236764, 1288, 618, 236787, 138, 107, 236772, 6110, 236772, 106402, 5853, 568, 47435, 236764, 7924, 236858, 236751, 10945, 236768, 138, 107, 236772, 36643, 529, 3421, 568, 67130, 4500, 236764, 4856, 5456, 236768, 138, 107, 236772, 35032, 1996, 28250, 568, 31443, 3733, 236764, 545, 236772, 53297, 236768, 138, 108, 9675, 236764, 2338, 29277, 8245, 236858, 236751, 6436, 1537, 236858, 236745, 20193, 749, 236761, 236773, 236761, 6035, 236764, 564, 5840, 17154, 855, 531, 910, 1894, 2434, 573, 4453, 4889, 1680, 62317, 236761, 21284, 611, 1133, 1601, 66582, 496, 3618, 531, 910, 2434, 236881, 106, 107, 105, 2364, 107, 49190, 236764, 564, 236789, 236753, 577, 5293, 531, 1601, 12262, 496, 3618, 531, 29277, 8245, 236789, 236751, 1894, 2434, 236888, 5715, 236789, 236751, 496, 10340, 7930, 611, 740, 1161, 653, 17114, 236787, 9190, 5213, 21288, 66515, 87101, 11968, 11358, 36997, 135296, 46311, 29277, 8245, 12730, 10765, 236764, 564, 1006, 5712, 699, 10561, 236764, 17850, 236764, 8288, 236764, 532, 1093, 1133, 531, 9128, 768, 822, 5058, 37574, 5103, 62833, 528, 506, 3640, 4184, 236761, 564, 236858, 236757, 7467, 528, 22516, 53926, 580, 21637, 4972, 532, 1093, 14756, 65977, 580, 506, 2269, 236787, 236743, 236770, 236761, 9354, 17850, 10465, 17793, 531, 2619, 614, 2881, 236881, 236743, 236778, 236761, 2900, 3530, 9413, 659, 3149, 573, 9834, 28250, 1913, 15020, 236881, 10770, 611, 573, 822, 10686, 236761, 564, 1385, 4448, 531, 822, 3072, 236761, 8890, 23574, 236764, 870, 11069, 10456, 7343, 236842, 9190, 21284, 611, 1133, 786, 531, 59638, 672, 3342, 653, 1138, 1027, 3530, 4889, 1003, 910, 3019, 600, 4217, 1346, 531, 611, 236881, 106, 107, 105, 4368, 107, 11069, 12262, 563, 3582, 532, 5707, 236888, 5715, 236858, 236751, 496, 33093, 3567, 600, 58811, 822, 2142, 528, 21637, 34637, 532, 161647, 506, 4137, 573, 29972, 236787, 108, 7243, 108, 1018, 21288, 53121, 135296, 87101, 573, 749, 236761, 236773, 236761, 76751, 833, 31026, 69759, 138, 108, 31163, 29277, 8245, 12730, 10765, 236764, 138, 108, 236777, 4614, 672, 3618, 15249, 611, 1388, 236761, 564, 236858, 236757, 496, 10704, 529, 10561, 236764, 17850, 236764, 8288, 236764, 532, 1006, 7467, 528, 7107, 614, 2881, 531, 1977, 53926, 580, 21637, 4972, 236761, 13677, 26891, 236764, 564, 236858, 236753, 14756, 26093, 580, 506, 2269, 236787, 138, 108, 236770, 236761, 5213, 174295, 66515, 14300, 29277, 8245, 4242, 5103, 699, 17850, 236764, 8288, 236881, 138, 107, 236778, 236761, 5213, 87228, 33197, 66515, 2900, 3530, 9413, 568, 236744, 236761, 236759, 1126, 5853, 236764, 7724, 529, 3421, 236768, 659, 4354, 531, 4133, 15020, 236881, 138, 107, 236800, 236761, 5213, 236836, 236761, 236773, 236761, 130726, 66515, 9354, 993, 1027, 4767, 6035, 653, 16305, 573, 749, 236761, 236773, 4862, 5140, 5089, 236881, 138, 108, 14782, 611, 573, 822, 990, 532, 10686, 236761, 564, 1385, 4448, 531, 822, 14984, 580, 1217, 564, 2473, 14309, 528, 822, 8568, 34637, 3019, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 93089, 13948, 19955, 236842, 138, 108, 7243, 138, 108, 2094, 3567, 236787, 138, 107, 236772, 70731, 822, 3530, 2142, 528, 21637, 34637, 236761, 138, 107, 236772, 68003, 4137, 573, 29972, 568, 70294, 1694, 769, 138, 107, 236772, 86511, 496, 54651, 16996, 531, 13491, 496, 9813, 3072, 236761, 138, 107, 236772, 49308, 19331, 3662, 4889, 573, 11442, 51201, 236761, 138, 108, 38786, 611, 1133, 531, 6253, 4658, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 1202, 1938, 1003, 29277, 8245, 236789, 236751, 8568, 34637, 3019, 236761, 562, 4389, 6950, 901, 236789, 500, 4913, 528, 38784, 11560, 236764, 532, 564, 236789, 236757, 23210, 1003, 4875, 1091, 855, 236761, 28344, 611, 4024, 910, 5125, 4456, 10739, 236764, 4889, 1003, 910, 2509, 31622, 236764, 532, 1217, 531, 3662, 910, 5602, 1894, 236881, 564, 1461, 531, 1386, 2889, 901, 236789, 500, 496, 26576, 5058, 1680, 21502, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15897, 236779, 2865, 3747, 1083, 11058, 45417, 34637, 568, 78304, 236764, 18660, 236764, 22703, 22730, 623, 28898, 34637, 607, 1759, 236772, 2289, 26844, 827, 623, 31335, 17340, 4972, 568, 57569, 236764, 42470, 22730, 623, 21301, 40246, 43752, 573, 861, 3295, 827, 623, 26637, 34637, 850, 15830, 14255, 623, 56488, 236779, 31935, 1083, 623, 2574, 1411, 2769, 236761, 80465, 8245, 236761, 854, 827, 623, 11607, 236779, 9442, 1083, 3714, 6774, 1083, 623, 9442, 236940, 80465, 8245, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 236743, 236832, 236828, 236819, 827, 623, 28699, 236779, 12952, 1083, 623, 21550, 236743, 236778, 236812, 236786, 236832, 580, 4456, 23179, 623, 57819, 236779, 7720, 1083, 623, 236770, 236778, 236800, 69197, 6487, 236747, 6718, 236764, 9252, 236743, 236810, 236764, 10001, 20439, 56680, 4085, 236764, 22265, 827, 623, 155215, 236779, 3906, 1083, 3714, 122910, 236779, 2003, 1083, 623, 236780, 2710, 236785, 236756, 236771, 236771, 236744, 236832, 4279, 545, 138312, 19430, 827, 623, 31455, 236779, 5640, 1083, 623, 9179, 236814, 236772, 4340, 2293, 38536, 236824, 236771, 236825, 236770, 236810, 236778, 236771, 236778, 236800, 127096, 106, 107, 105, 4368, 107, 75896, 8245, 563, 496, 26576, 3489, 8568, 34637, 5058, 4913, 528, 22265, 532, 38784, 11560, 236761, 5715, 236789, 236751, 506, 9813, 1938, 611, 15633, 236787, 108, 1018, 4098, 46816, 1013, 1018, 138, 107, 236772, 14669, 34637, 236787, 24458, 236764, 18660, 236764, 22703, 236764, 532, 919, 138, 107, 236772, 15097, 34637, 607, 1759, 236772, 2289, 26844, 12496, 138, 107, 236772, 13118, 17340, 4972, 236787, 114850, 236764, 42470, 236764, 532, 1032, 2633, 4972, 138, 107, 236772, 68039, 42527, 43752, 573, 861, 3295, 138, 107, 236772, 18424, 34637, 850, 573, 21019, 532, 9574, 7359, 138, 108, 1018, 68734, 21124, 1018, 138, 107, 245958, 870, 75896, 8245, 236761, 854, 5457, 2574, 1411, 2769, 236761, 80465, 8245, 236761, 854, 236768, 138, 108, 1018, 19952, 12730, 1018, 138, 107, 236772, 236743, 249979, 19955, 236787, 1894, 236940, 80465, 8245, 236761, 854, 138, 107, 236772, 236743, 246080, 23386, 236787, 900, 236828, 236812, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 236743, 236832, 236828, 236819, 138, 107, 236772, 236743, 244893, 15097, 25380, 236787, 18326, 236743, 236778, 236812, 236786, 236832, 580, 910, 4456, 138, 108, 1018, 48265, 15874, 1018, 138, 107, 236770, 236778, 236800, 69197, 6487, 236747, 6718, 236764, 9252, 236743, 236810, 236764, 10001, 20439, 56680, 4085, 236764, 22265, 138, 108, 1018, 190705, 8230, 1018, 138, 107, 188841, 684, 506, 5213, 236780, 2710, 147148, 545, 138312, 19430, 1018, 568, 29105, 997, 9179, 236814, 236772, 4340, 2293, 38536, 236824, 236771, 236825, 236770, 236810, 236778, 236771, 236778, 236800, 779, 17096, 14143, 607, 5251, 18612, 8443, 236761, 138, 108, 38786, 611, 1133, 65977, 580, 1027, 529, 1239, 4889, 1680, 26891, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 4889, 236888, 564, 14275, 29277, 8245, 563, 2721, 528, 22265, 753, 1677, 910, 2509, 981, 573, 5089, 528, 17850, 236764, 8288, 236881, 564, 1461, 531, 2056, 34637, 580, 1041, 8126, 21637, 2434, 236789, 236751, 4972, 236764, 840, 564, 1202, 531, 1386, 2889, 901, 4242, 5103, 699, 506, 3640, 4184, 236761, 6542, 236764, 659, 993, 1027, 3530, 9413, 3149, 531, 16807, 9834, 1913, 15020, 236881, 106, 107, 105, 4368, 107, 75896, 8245, 236789, 236751, 3019, 659, 13336, 10317, 580, 38784, 11560, 236764, 532, 1651, 910, 188339, 147148, 10945, 5862, 1091, 531, 12833, 35595, 236764, 15830, 528, 3530, 9576, 1133, 17850, 236764, 8288, 236764, 9796, 580, 2263, 12159, 236761, 17850, 22779, 24335, 3489, 8568, 34637, 236764, 840, 29277, 8245, 236858, 236751, 1873, 6675, 776, 711, 25010, 3328, 749, 236761, 236773, 236761, 9766, 236761, 2282, 9128, 40243, 236764, 611, 1093, 1202, 531, 236787, 138, 107, 236770, 236761, 7179, 29277, 8245, 236858, 236751, 4456, 3755, 529, 2509, 573, 113301, 14523, 236761, 138, 107, 236778, 236761, 13948, 910, 1894, 2434, 5467, 568, 15218, 4553, 236786, 5275, 2787, 236768, 531, 2679, 1003, 749, 236761, 236773, 236761, 2802, 236761, 138, 108, 1018, 44383, 55974, 66515, 138, 107, 14254, 14175, 1133, 29277, 8245, 1660, 4077, 200310, 568, 39201, 5180, 17438, 236768, 28250, 236764, 1288, 618, 236787, 138, 107, 236772, 6110, 236772, 106402, 5853, 568, 47435, 236764, 7924, 236858, 236751, 10945, 236768, 138, 107, 236772, 36643, 529, 3421, 568, 67130, 4500, 236764, 4856, 5456, 236768, 138, 107, 236772, 35032, 1996, 28250, 568, 31443, 3733, 236764, 545, 236772, 53297, 236768, 138, 108, 9675, 236764, 2338, 29277, 8245, 236858, 236751, 6436, 1537, 236858, 236745, 20193, 749, 236761, 236773, 236761, 6035, 236764, 564, 5840, 17154, 855, 531, 910, 1894, 2434, 573, 4453, 4889, 1680, 62317, 236761, 21284, 611, 1133, 1601, 66582, 496, 3618, 531, 910, 2434, 236881, 106, 107, 105, 2364, 107, 49190, 236764, 564, 236789, 236753, 577, 5293, 531, 1601, 12262, 496, 3618, 531, 29277, 8245, 236789, 236751, 1894, 2434, 236888, 5715, 236789, 236751, 496, 10340, 7930, 611, 740, 1161, 653, 17114, 236787, 9190, 5213, 21288, 66515, 87101, 11968, 11358, 36997, 135296, 46311, 29277, 8245, 12730, 10765, 236764, 564, 1006, 5712, 699, 10561, 236764, 17850, 236764, 8288, 236764, 532, 1093, 1133, 531, 9128, 768, 822, 5058, 37574, 5103, 62833, 528, 506, 3640, 4184, 236761, 564, 236858, 236757, 7467, 528, 22516, 53926, 580, 21637, 4972, 532, 1093, 14756, 65977, 580, 506, 2269, 236787, 236743, 236770, 236761, 9354, 17850, 10465, 17793, 531, 2619, 614, 2881, 236881, 236743, 236778, 236761, 2900, 3530, 9413, 659, 3149, 573, 9834, 28250, 1913, 15020, 236881, 10770, 611, 573, 822, 10686, 236761, 564, 1385, 4448, 531, 822, 3072, 236761, 8890, 23574, 236764, 870, 11069, 10456, 7343, 236842, 9190, 21284, 611, 1133, 786, 531, 59638, 672, 3342, 653, 1138, 1027, 3530, 4889, 1003, 910, 3019, 600, 4217, 1346, 531, 611, 236881, 106, 107, 105, 4368, 107, 11069, 12262, 563, 3582, 532, 5707, 236888, 5715, 236858, 236751, 496, 33093, 3567, 600, 58811, 822, 2142, 528, 21637, 34637, 532, 161647, 506, 4137, 573, 29972, 236787, 108, 7243, 108, 1018, 21288, 53121, 135296, 87101, 573, 749, 236761, 236773, 236761, 76751, 833, 31026, 69759, 138, 108, 31163, 29277, 8245, 12730, 10765, 236764, 138, 108, 236777, 4614, 672, 3618, 15249, 611, 1388, 236761, 564, 236858, 236757, 496, 10704, 529, 10561, 236764, 17850, 236764, 8288, 236764, 532, 1006, 7467, 528, 7107, 614, 2881, 531, 1977, 53926, 580, 21637, 4972, 236761, 13677, 26891, 236764, 564, 236858, 236753, 14756, 26093, 580, 506, 2269, 236787, 138, 108, 236770, 236761, 5213, 174295, 66515, 14300, 29277, 8245, 4242, 5103, 699, 17850, 236764, 8288, 236881, 138, 107, 236778, 236761, 5213, 87228, 33197, 66515, 2900, 3530, 9413, 568, 236744, 236761, 236759, 1126, 5853, 236764, 7724, 529, 3421, 236768, 659, 4354, 531, 4133, 15020, 236881, 138, 107, 236800, 236761, 5213, 236836, 236761, 236773, 236761, 130726, 66515, 9354, 993, 1027, 4767, 6035, 653, 16305, 573, 749, 236761, 236773, 4862, 5140, 5089, 236881, 138, 108, 14782, 611, 573, 822, 990, 532, 10686, 236761, 564, 1385, 4448, 531, 822, 14984, 580, 1217, 564, 2473, 14309, 528, 822, 8568, 34637, 3019, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 93089, 13948, 19955, 236842, 138, 108, 7243, 138, 108, 2094, 3567, 236787, 138, 107, 236772, 70731, 822, 3530, 2142, 528, 21637, 34637, 236761, 138, 107, 236772, 68003, 4137, 573, 29972, 568, 70294, 1694, 769, 138, 107, 236772, 86511, 496, 54651, 16996, 531, 13491, 496, 9813, 3072, 236761, 138, 107, 236772, 49308, 19331, 3662, 4889, 573, 11442, 51201, 236761, 138, 108, 38786, 611, 1133, 531, 6253, 4658, 3342, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 506, 26217, 179820, 236789, 1873, 90915, 532, 506, 34637, 26844, 573, 910, 2148, 2290, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68925, 1083, 78493, 1201, 1083, 623, 114476, 179820, 827, 623, 14992, 236779, 547, 1083, 623, 84107, 236779, 84023, 827, 623, 80043, 1083, 623, 84107, 827, 623, 4002, 236779, 2244, 1013, 1083, 3714, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236800, 236828, 236764, 623, 3473, 1083, 623, 236770, 236770, 594, 528, 17792, 13057, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 1083, 3714, 1201, 1083, 623, 114476, 179820, 827, 623, 80043, 1083, 623, 84107, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 827, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 36043, 827, 623, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236812, 236771, 236764, 623, 15080, 1083, 236743, 236770, 236800, 236764, 623, 5455, 236779, 5567, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 157638, 1083, 623, 67784, 112585, 827, 623, 3709, 1083, 623, 236798, 236743, 236770, 236771, 236828, 236772, 236770, 236770, 236810, 23179, 623, 4874, 236779, 5567, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 157638, 1083, 623, 104561, 236743, 236832, 236825, 616, 827, 623, 7125, 1083, 623, 30413, 195156, 36770, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35365, 1083, 78493, 5567, 236779, 547, 1083, 623, 84107, 236778, 236771, 236778, 236810, 236771, 236800, 236770, 236828, 236779, 84023, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 68925, 1083, 3714, 8147, 1083, 3714, 14992, 236779, 547, 1083, 623, 84107, 236779, 84023, 827, 623, 1201, 1083, 623, 114476, 179820, 827, 623, 8318, 1083, 236743, 236771, 1263, 623, 14968, 1083, 3714, 14992, 236779, 547, 1083, 623, 84107, 236779, 236799, 3354, 827, 623, 1201, 1083, 623, 67784, 112585, 827, 623, 8318, 1083, 236743, 236771, 5237, 623, 4818, 1083, 623, 144376, 827, 623, 6109, 1083, 623, 30413, 195156, 36770, 827, 623, 79692, 1083, 3714, 34899, 1257, 1083, 3714, 8147, 1083, 10955, 236770, 236812, 236810, 827, 623, 14968, 1083, 9296, 236770, 236832, 236810, 23179, 623, 47706, 1083, 3714, 8147, 1083, 10955, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 22730, 623, 14968, 1083, 9296, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 16291, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 818, 26217, 179820, 659, 5633, 528, 506, 5213, 84107, 17792, 13057, 1018, 607, 496, 5213, 236778, 236778, 236772, 236812, 236771, 3423, 125546, 25847, 5213, 236770, 236800, 594, 1018, 528, 506, 9232, 236761, 9963, 2148, 2290, 563, 14812, 573, 5213, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 125546, 657, 5213, 30413, 195156, 36770, 1018, 2342, 506, 5213, 67784, 112585, 84750, 236743, 108, 10354, 128960, 139135, 573, 506, 9064, 236787, 107, 236772, 5213, 35922, 1257, 66515, 138, 107, 138, 236772, 26217, 179820, 236787, 5213, 236862, 236770, 236812, 236810, 1018, 138, 107, 138, 236772, 14850, 112585, 236787, 5213, 236772, 236770, 236832, 236810, 1018, 138, 107, 236772, 5213, 97813, 66515, 138, 107, 138, 236772, 26217, 179820, 236787, 5213, 236862, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 62902, 138, 107, 138, 236772, 14850, 112585, 236787, 5213, 236772, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 62902, 138, 108, 818, 26844, 659, 2721, 580, 1262, 699, 506, 4972, 31466, 236764, 618, 529, 5261, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26217, 179820, 236789, 1873, 90915, 532, 506, 34637, 26844, 573, 910, 2148, 2290, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68925, 1083, 78493, 1201, 1083, 623, 114476, 179820, 827, 623, 14992, 236779, 547, 1083, 623, 84107, 236779, 84023, 827, 623, 80043, 1083, 623, 84107, 827, 623, 4002, 236779, 2244, 1013, 1083, 3714, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236800, 236828, 236764, 623, 3473, 1083, 623, 236770, 236770, 594, 528, 17792, 13057, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 1083, 3714, 1201, 1083, 623, 114476, 179820, 827, 623, 80043, 1083, 623, 84107, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 827, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 36043, 827, 623, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236812, 236771, 236764, 623, 15080, 1083, 236743, 236770, 236800, 236764, 623, 5455, 236779, 5567, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 157638, 1083, 623, 67784, 112585, 827, 623, 3709, 1083, 623, 236798, 236743, 236770, 236771, 236828, 236772, 236770, 236770, 236810, 23179, 623, 4874, 236779, 5567, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 157638, 1083, 623, 104561, 236743, 236832, 236825, 616, 827, 623, 7125, 1083, 623, 30413, 195156, 36770, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35365, 1083, 78493, 5567, 236779, 547, 1083, 623, 84107, 236778, 236771, 236778, 236810, 236771, 236800, 236770, 236828, 236779, 84023, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 68925, 1083, 3714, 8147, 1083, 3714, 14992, 236779, 547, 1083, 623, 84107, 236779, 84023, 827, 623, 1201, 1083, 623, 114476, 179820, 827, 623, 8318, 1083, 236743, 236771, 1263, 623, 14968, 1083, 3714, 14992, 236779, 547, 1083, 623, 84107, 236779, 236799, 3354, 827, 623, 1201, 1083, 623, 67784, 112585, 827, 623, 8318, 1083, 236743, 236771, 5237, 623, 4818, 1083, 623, 144376, 827, 623, 6109, 1083, 623, 30413, 195156, 36770, 827, 623, 79692, 1083, 3714, 34899, 1257, 1083, 3714, 8147, 1083, 10955, 236770, 236812, 236810, 827, 623, 14968, 1083, 9296, 236770, 236832, 236810, 23179, 623, 47706, 1083, 3714, 8147, 1083, 10955, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 22730, 623, 14968, 1083, 9296, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 16291, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 818, 26217, 179820, 659, 5633, 528, 506, 5213, 84107, 17792, 13057, 1018, 607, 496, 5213, 236778, 236778, 236772, 236812, 236771, 3423, 125546, 25847, 5213, 236770, 236800, 594, 1018, 528, 506, 9232, 236761, 9963, 2148, 2290, 563, 14812, 573, 5213, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 125546, 657, 5213, 30413, 195156, 36770, 1018, 2342, 506, 5213, 67784, 112585, 84750, 236743, 108, 10354, 128960, 139135, 573, 506, 9064, 236787, 107, 236772, 5213, 35922, 1257, 66515, 138, 107, 138, 236772, 26217, 179820, 236787, 5213, 236862, 236770, 236812, 236810, 1018, 138, 107, 138, 236772, 14850, 112585, 236787, 5213, 236772, 236770, 236832, 236810, 1018, 138, 107, 236772, 5213, 97813, 66515, 138, 107, 138, 236772, 26217, 179820, 236787, 5213, 236862, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 62902, 138, 107, 138, 236772, 14850, 112585, 236787, 5213, 236772, 236812, 236761, 236810, 15554, 236770, 236770, 236771, 62902, 138, 108, 818, 26844, 659, 2721, 580, 1262, 699, 506, 4972, 31466, 236764, 618, 529, 5261, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 24595, 9697, 699, 3435, 15707, 13131, 657, 2263, 1610, 4749, 236764, 532, 564, 1461, 531, 3050, 506, 13690, 15737, 529, 910, 8968, 236761, 5715, 236789, 236751, 496, 5498, 1816, 236787, 756, 818, 28239, 2258, 79339, 964, 81865, 236764, 840, 564, 7976, 993, 964, 919, 20222, 11421, 10725, 7085, 28344, 611, 18840, 506, 27078, 529, 672, 9697, 531, 8701, 2307, 13690, 25268, 532, 6782, 77694, 236786, 11798, 31294, 14900, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 32504, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236800, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236770, 236810, 1263, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 115045, 236779, 66387, 1083, 11058, 63258, 827, 623, 15670, 705, 52369, 14255, 623, 2478, 236779, 791, 133192, 1083, 11058, 236766, 98237, 2258, 79339, 827, 623, 13132, 59100, 827, 623, 30131, 3801, 11421, 10725, 14255, 623, 126775, 236779, 7284, 3843, 1083, 3714, 30558, 236779, 31493, 1083, 11058, 236766, 98237, 2258, 79339, 964, 81865, 14255, 623, 27851, 236779, 31493, 1083, 11058, 78855, 993, 964, 919, 20222, 11421, 152254, 623, 4368, 236779, 3456, 1083, 623, 126775, 236772, 28263, 236772, 236766, 236812, 827, 623, 19859, 236779, 121774, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 506, 9697, 21577, 496, 5213, 63258, 13690, 15737, 1018, 607, 496, 5213, 15670, 705, 52369, 84750, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 10274, 13359, 27242, 66515, 236743, 236825, 236778, 236908, 568, 27612, 684, 30450, 573, 623, 236766, 98237, 2258, 79339, 236775, 532, 623, 13132, 59100, 236775, 4820, 236768, 138, 107, 236772, 5213, 36073, 31294, 27242, 66515, 236743, 236800, 236828, 236908, 568, 41889, 580, 506, 12614, 573, 919, 10065, 529, 623, 30131, 3801, 11421, 1373, 138, 107, 236772, 5213, 229806, 16575, 66515, 236743, 236819, 236778, 236908, 568, 11480, 21016, 528, 506, 3671, 236768, 138, 108, 10354, 9533, 76374, 236787, 107, 236770, 236761, 5213, 48084, 95677, 66515, 138, 107, 139, 144949, 659, 12117, 14076, 684, 506, 7426, 4100, 529, 506, 20431, 236764, 6412, 506, 1161, 529, 2258, 236761, 138, 107, 236778, 236761, 5213, 64477, 705, 178408, 66515, 138, 107, 139, 3810, 236858, 236751, 496, 3582, 12614, 573, 5314, 15459, 528, 8325, 10065, 236764, 10916, 41671, 20222, 10592, 236761, 138, 108, 10354, 91330, 236787, 138, 107, 236772, 4075, 9042, 969, 506, 43605, 7426, 4820, 528, 7009, 5417, 236761, 138, 107, 236772, 14066, 1313, 1194, 919, 4146, 699, 20222, 11421, 531, 3421, 32801, 14682, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 4767, 9697, 7365, 573, 25898, 15067, 236881, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 2264, 9697, 5498, 699, 496, 1607, 2460, 236787, 756, 818, 7628, 9097, 6345, 55619, 699, 506, 15707, 236789, 236751, 7824, 236764, 840, 506, 21931, 11764, 691, 496, 39351, 14089, 7085, 28344, 611, 18840, 672, 886, 618, 1388, 236881, 564, 236789, 236757, 75239, 53552, 22888, 1003, 92353, 83285, 532, 21931, 4820, 3418, 1607, 37643, 236764, 532, 564, 236789, 236753, 1133, 531, 10769, 506, 13690, 25268, 1534, 672, 3072, 532, 506, 3527, 886, 531, 8701, 9935, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 3714, 1163, 13359, 236779, 8318, 1083, 236743, 236771, 236761, 236810, 236810, 236764, 623, 11798, 31294, 236779, 8318, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 115045, 236779, 66387, 1083, 623, 63258, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 623, 28263, 236779, 7284, 3843, 1083, 3714, 1437, 18644, 236779, 1364, 180354, 1083, 3714, 126775, 1083, 623, 27851, 827, 623, 41427, 1083, 11058, 222727, 827, 623, 14818, 14255, 623, 80384, 1083, 236743, 236771, 236761, 236832, 1263, 623, 78360, 236779, 31493, 1083, 3714, 126775, 1083, 623, 30558, 827, 623, 41427, 1083, 11058, 20097, 522, 827, 623, 192564, 14255, 623, 80384, 1083, 236743, 236771, 236761, 236828, 236778, 5237, 623, 21052, 1083, 3714, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 4368, 236779, 3456, 1083, 623, 126775, 236772, 178211, 236772, 236766, 236812, 236761, 236778, 827, 623, 23046, 236779, 2289, 1083, 623, 236770, 236778, 236832, 1356, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 27078, 3671, 532, 9960, 607, 506, 3527, 9697, 236787, 108, 1018, 4199, 51474, 13768, 1018, 138, 107, 236772, 5213, 10274, 13359, 27242, 66515, 236743, 236810, 236810, 236908, 568, 27612, 684, 30450, 573, 623, 78360, 11764, 236775, 1646, 623, 20097, 522, 236775, 532, 623, 12009, 38011, 1373, 138, 107, 236772, 5213, 36073, 31294, 27242, 66515, 236743, 236812, 236810, 236908, 568, 41889, 580, 623, 13066, 9097, 8178, 55619, 699, 506, 15707, 236789, 236751, 7824, 1373, 138, 107, 236772, 5213, 229806, 16575, 66515, 236743, 236828, 236810, 236908, 138, 107, 236772, 5213, 3503, 105701, 100713, 66515, 65371, 236764, 607, 15281, 5676, 12732, 2101, 92353, 83285, 568, 236832, 236771, 236908, 12732, 236768, 5483, 531, 506, 3527, 52369, 580, 8325, 10065, 568, 236800, 236828, 236908, 123079, 769, 138, 108, 7243, 108, 10354, 5213, 53377, 607, 46030, 51474, 1018, 138, 107, 236909, 5213, 73734, 1018, 150, 236909, 5213, 7280, 51474, 1018, 162, 236909, 5213, 12400, 51474, 1018, 162, 236909, 138, 107, 236909, 2819, 40686, 236909, 2819, 2819, 43386, 236909, 2819, 2819, 29118, 236909, 138, 107, 236909, 5213, 48084, 81800, 1018, 140, 236909, 24246, 57878, 6791, 236766, 98237, 2258, 79339, 1373, 236909, 59494, 9871, 6791, 20097, 522, 14089, 1373, 1109, 138, 107, 236909, 5213, 63702, 81800, 1018, 140, 236909, 63456, 529, 20222, 8325, 10065, 144, 236909, 3725, 15516, 699, 15707, 7824, 150, 236909, 138, 107, 236909, 5213, 229806, 528, 13768, 1018, 1109, 236743, 236819, 236778, 236908, 568, 9347, 497, 63870, 236768, 157, 236909, 236743, 236828, 236810, 236908, 568, 5576, 110740, 52369, 236768, 155, 236909, 138, 108, 7243, 108, 10354, 5213, 23910, 76374, 1018, 138, 107, 236770, 236761, 5213, 818, 18644, 2372, 180354, 161601, 66515, 138, 107, 139, 236772, 10508, 7365, 8357, 201150, 4342, 236764, 840, 528, 1607, 6667, 236787, 138, 107, 141, 236772, 5315, 236787, 3398, 11354, 11302, 528, 8325, 15459, 236761, 138, 107, 141, 236772, 9674, 236787, 27733, 54520, 1534, 20431, 532, 15707, 7824, 236761, 138, 107, 236778, 236761, 5213, 102711, 38456, 66515, 138, 107, 139, 236772, 669, 4414, 6608, 531, 225332, 12205, 672, 1451, 577, 496, 2307, 234234, 573, 32801, 15154, 236761, 138, 108, 10354, 5213, 201430, 1018, 138, 107, 236772, 5213, 15413, 32443, 35593, 1230, 66515, 138, 107, 138, 236772, 128900, 92353, 67966, 531, 5330, 90993, 8913, 607, 8249, 15707, 22888, 236761, 138, 107, 138, 236772, 84567, 7760, 573, 20222, 11421, 1651, 16977, 92353, 64106, 236761, 138, 107, 236772, 5213, 102711, 25772, 66515, 138, 107, 138, 236772, 212649, 4414, 9697, 580, 225332, 531, 1702, 919, 57337, 30427, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 4767, 7365, 531, 18855, 1239, 9935, 236881, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 496, 4168, 5498, 699, 496, 4803, 10561, 15707, 8115, 236787, 756, 818, 92353, 3213, 580, 11321, 17538, 691, 8632, 236764, 840, 506, 6220, 529, 21931, 4820, 1603, 625, 2597, 2002, 5483, 531, 1032, 16236, 9952, 7085, 7323, 18840, 672, 886, 618, 1388, 236761, 564, 1461, 531, 4087, 3363, 506, 16625, 1534, 92353, 8744, 532, 21931, 15154, 563, 496, 9958, 3759, 3418, 1607, 28675, 236761, 6542, 236764, 1451, 611, 27834, 506, 123079, 14900, 699, 784, 1806, 18025, 834, 2793, 531, 8701, 837, 6084, 237028, 1437, 18644, 83285, 653, 225332, 237028, 5594, 496, 15281, 4100, 580, 32801, 89194, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 3714, 66387, 1083, 623, 45258, 827, 623, 32504, 1083, 3714, 11798, 31294, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 1163, 13359, 1083, 236743, 236771, 236761, 236812, 236828, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236819, 1263, 623, 28263, 236779, 13308, 1083, 3714, 2478, 236779, 86708, 1083, 11058, 8819, 17538, 827, 623, 2266, 13692, 14255, 623, 54012, 524, 236779, 28438, 116722, 1083, 11058, 6990, 2707, 827, 623, 88933, 531, 16236, 9952, 14255, 623, 19859, 236779, 3456, 1083, 623, 501, 827, 623, 4368, 236779, 4406, 236779, 3456, 1083, 623, 27083, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 7284, 3843, 1083, 3714, 78226, 236779, 126775, 1083, 623, 45258, 236779, 1071, 236779, 27851, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236819, 236764, 623, 30558, 236779, 75615, 1083, 78493, 1005, 1083, 623, 1437, 18644, 3213, 580, 11321, 17538, 691, 8632, 827, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 111610, 236779, 19112, 1083, 11058, 553, 18570, 567, 827, 623, 21878, 99471, 1604, 623, 27851, 236779, 75615, 1083, 78493, 1005, 1083, 623, 139959, 529, 21931, 4820, 1603, 625, 2597, 2002, 827, 623, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236825, 236810, 236764, 623, 111610, 236779, 19112, 1083, 11058, 2763, 82035, 827, 623, 236763, 2926, 542, 1935, 200808, 623, 45660, 236779, 5140, 236779, 28263, 1083, 3714, 1437, 18644, 236779, 1364, 180354, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236770, 236764, 623, 41427, 1083, 11058, 8819, 17538, 827, 623, 1437, 18644, 3213, 152254, 623, 2266, 13692, 1083, 3714, 8318, 1083, 753, 236771, 236761, 236825, 236770, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236832, 236764, 623, 41427, 1083, 11058, 78360, 4820, 827, 623, 6990, 1935, 5237, 623, 11798, 31294, 236779, 32504, 1083, 3714, 12293, 236779, 11798, 847, 1083, 236743, 236770, 236764, 623, 27851, 236779, 553, 104098, 1083, 236743, 236778, 236764, 623, 88933, 236779, 80384, 1083, 236743, 236771, 236761, 236810, 236828, 1263, 623, 21052, 1083, 3714, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 4368, 236779, 3456, 1083, 623, 126775, 236772, 8218, 236772, 236766, 236812, 827, 623, 23046, 236779, 2289, 236779, 1356, 1083, 236743, 236770, 236812, 236810, 1807, 106, 107, 105, 4368, 107, 10354, 5213, 42173, 51474, 13768, 1018, 138, 107, 236772, 5213, 33062, 162249, 66515, 77092, 236772, 1071, 236772, 27851, 568, 236810, 236778, 236908, 123079, 7728, 236761, 236743, 236812, 236828, 236908, 77694, 236768, 138, 107, 236772, 5213, 3503, 137944, 66515, 138, 107, 138, 236772, 5213, 48084, 66515, 27717, 92353, 83285, 6791, 8819, 17538, 236775, 43605, 618, 623, 152812, 2098, 236743, 236832, 236778, 236908, 4414, 6317, 769, 138, 107, 138, 236772, 5213, 63702, 66515, 63456, 529, 225332, 6791, 6990, 2707, 236775, 5483, 531, 623, 176395, 9952, 2098, 236743, 236825, 236810, 236908, 5676, 6317, 769, 138, 107, 236772, 5213, 229806, 16575, 66515, 236743, 236828, 236819, 236908, 138, 108, 7243, 108, 10354, 5213, 47420, 65252, 15999, 31294, 95324, 64552, 2343, 66066, 1018, 138, 107, 236909, 5213, 52795, 31278, 1018, 143, 236909, 5213, 36073, 31294, 27242, 1018, 1109, 5213, 32663, 33868, 1018, 151, 236909, 138, 107, 236909, 2819, 40673, 236909, 2819, 33129, 236909, 2819, 2819, 171168, 138, 107, 236909, 5213, 236770, 540, 568, 56051, 60197, 62902, 1109, 236743, 236800, 236828, 236908, 153, 236909, 8382, 62886, 529, 20222, 11421, 1109, 138, 107, 236909, 5213, 236778, 523, 568, 818, 18644, 3725, 15516, 62902, 1109, 236743, 236812, 236810, 236908, 145, 236909, 16476, 1610, 3930, 4647, 607, 7824, 1109, 138, 107, 236909, 5213, 236800, 7221, 568, 3845, 13692, 62478, 62902, 1109, 5213, 236810, 236778, 236908, 1018, 147, 236909, 5213, 137499, 529, 21931, 4820, 1018, 138, 236909, 138, 108, 1018, 65965, 66515, 15999, 31294, 14900, 3553, 607, 104708, 1003, 225332, 236764, 22169, 625, 1149, 735, 496, 15281, 4100, 580, 89194, 1082, 92353, 83285, 4342, 236761, 138, 108, 7243, 108, 10354, 5213, 23910, 13768, 1018, 138, 107, 236770, 236761, 5213, 818, 18644, 69934, 7728, 236761, 4471, 13692, 66515, 138, 107, 139, 236772, 5213, 818, 18644, 2372, 180354, 66515, 20354, 2470, 528, 506, 4168, 5498, 568, 236832, 236778, 236908, 4414, 236768, 840, 48950, 528, 506, 1855, 568, 236832, 236771, 236908, 5676, 769, 138, 107, 139, 236772, 5213, 3845, 13692, 66515, 118189, 524, 618, 496, 5213, 2478, 234234, 1018, 528, 506, 1855, 5498, 568, 236828, 236778, 236908, 4414, 779, 3819, 1061, 12312, 26214, 506, 5213, 78353, 123079, 6317, 568, 236810, 236778, 11376, 1018, 528, 506, 4168, 236761, 138, 107, 236778, 236761, 5213, 81046, 151933, 66515, 138, 107, 139, 236772, 40499, 2015, 14756, 3188, 92353, 3213, 568, 236744, 236761, 236759, 1126, 623, 8819, 17538, 236775, 22323, 779, 840, 5213, 27562, 4532, 54828, 531, 7002, 672, 607, 57337, 236764, 21931, 9871, 84750, 138, 108, 7243, 108, 10354, 5213, 201430, 1018, 138, 107, 236772, 5213, 9604, 4471, 13692, 667, 2786, 66515, 138, 107, 138, 236772, 669, 4168, 5498, 236858, 236751, 236743, 236810, 236778, 236908, 123079, 6317, 104811, 600, 2002, 19365, 1149, 15747, 24622, 606, 16236, 28675, 236761, 138, 107, 236772, 5213, 818, 18644, 236772, 102711, 31814, 66515, 138, 107, 138, 236772, 6890, 506, 1855, 5498, 236858, 236751, 2630, 6791, 20097, 522, 14089, 236775, 35490, 236768, 618, 496, 2028, 531, 25139, 225332, 1131, 92353, 30427, 568, 236744, 236761, 236759, 1126, 21931, 4820, 22260, 623, 8819, 17538, 4248, 138, 107, 236772, 5213, 2100, 236772, 154902, 565, 3054, 66515, 138, 107, 138, 236772, 26295, 123079, 15067, 236787, 4471, 13692, 104708, 659, 15213, 568, 236812, 236810, 236908, 16130, 236743, 236810, 236778, 28585, 1651, 92353, 4342, 9729, 236761, 22282, 77372, 16217, 30427, 600, 16529, 1800, 14682, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 496, 10080, 5498, 531, 9128, 672, 225332, 236772, 27612, 123079, 7003, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 24595, 9697, 699, 3435, 15707, 13131, 657, 2263, 1610, 4749, 236764, 532, 564, 1461, 531, 3050, 506, 13690, 15737, 529, 910, 8968, 236761, 5715, 236789, 236751, 496, 5498, 1816, 236787, 756, 818, 28239, 2258, 79339, 964, 81865, 236764, 840, 564, 7976, 993, 964, 919, 20222, 11421, 10725, 7085, 28344, 611, 18840, 506, 27078, 529, 672, 9697, 531, 8701, 2307, 13690, 25268, 532, 6782, 77694, 236786, 11798, 31294, 14900, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 32504, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236800, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236770, 236810, 1263, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 115045, 236779, 66387, 1083, 11058, 63258, 827, 623, 15670, 705, 52369, 14255, 623, 2478, 236779, 791, 133192, 1083, 11058, 236766, 98237, 2258, 79339, 827, 623, 13132, 59100, 827, 623, 30131, 3801, 11421, 10725, 14255, 623, 126775, 236779, 7284, 3843, 1083, 3714, 30558, 236779, 31493, 1083, 11058, 236766, 98237, 2258, 79339, 964, 81865, 14255, 623, 27851, 236779, 31493, 1083, 11058, 78855, 993, 964, 919, 20222, 11421, 152254, 623, 4368, 236779, 3456, 1083, 623, 126775, 236772, 28263, 236772, 236766, 236812, 827, 623, 19859, 236779, 121774, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 506, 9697, 21577, 496, 5213, 63258, 13690, 15737, 1018, 607, 496, 5213, 15670, 705, 52369, 84750, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 10274, 13359, 27242, 66515, 236743, 236825, 236778, 236908, 568, 27612, 684, 30450, 573, 623, 236766, 98237, 2258, 79339, 236775, 532, 623, 13132, 59100, 236775, 4820, 236768, 138, 107, 236772, 5213, 36073, 31294, 27242, 66515, 236743, 236800, 236828, 236908, 568, 41889, 580, 506, 12614, 573, 919, 10065, 529, 623, 30131, 3801, 11421, 1373, 138, 107, 236772, 5213, 229806, 16575, 66515, 236743, 236819, 236778, 236908, 568, 11480, 21016, 528, 506, 3671, 236768, 138, 108, 10354, 9533, 76374, 236787, 107, 236770, 236761, 5213, 48084, 95677, 66515, 138, 107, 139, 144949, 659, 12117, 14076, 684, 506, 7426, 4100, 529, 506, 20431, 236764, 6412, 506, 1161, 529, 2258, 236761, 138, 107, 236778, 236761, 5213, 64477, 705, 178408, 66515, 138, 107, 139, 3810, 236858, 236751, 496, 3582, 12614, 573, 5314, 15459, 528, 8325, 10065, 236764, 10916, 41671, 20222, 10592, 236761, 138, 108, 10354, 91330, 236787, 138, 107, 236772, 4075, 9042, 969, 506, 43605, 7426, 4820, 528, 7009, 5417, 236761, 138, 107, 236772, 14066, 1313, 1194, 919, 4146, 699, 20222, 11421, 531, 3421, 32801, 14682, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 4767, 9697, 7365, 573, 25898, 15067, 236881, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 2264, 9697, 5498, 699, 496, 1607, 2460, 236787, 756, 818, 7628, 9097, 6345, 55619, 699, 506, 15707, 236789, 236751, 7824, 236764, 840, 506, 21931, 11764, 691, 496, 39351, 14089, 7085, 28344, 611, 18840, 672, 886, 618, 1388, 236881, 564, 236789, 236757, 75239, 53552, 22888, 1003, 92353, 83285, 532, 21931, 4820, 3418, 1607, 37643, 236764, 532, 564, 236789, 236753, 1133, 531, 10769, 506, 13690, 25268, 1534, 672, 3072, 532, 506, 3527, 886, 531, 8701, 9935, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 3714, 1163, 13359, 236779, 8318, 1083, 236743, 236771, 236761, 236810, 236810, 236764, 623, 11798, 31294, 236779, 8318, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 115045, 236779, 66387, 1083, 623, 63258, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 623, 28263, 236779, 7284, 3843, 1083, 3714, 1437, 18644, 236779, 1364, 180354, 1083, 3714, 126775, 1083, 623, 27851, 827, 623, 41427, 1083, 11058, 222727, 827, 623, 14818, 14255, 623, 80384, 1083, 236743, 236771, 236761, 236832, 1263, 623, 78360, 236779, 31493, 1083, 3714, 126775, 1083, 623, 30558, 827, 623, 41427, 1083, 11058, 20097, 522, 827, 623, 192564, 14255, 623, 80384, 1083, 236743, 236771, 236761, 236828, 236778, 5237, 623, 21052, 1083, 3714, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 4368, 236779, 3456, 1083, 623, 126775, 236772, 178211, 236772, 236766, 236812, 236761, 236778, 827, 623, 23046, 236779, 2289, 1083, 623, 236770, 236778, 236832, 1356, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 27078, 3671, 532, 9960, 607, 506, 3527, 9697, 236787, 108, 1018, 4199, 51474, 13768, 1018, 138, 107, 236772, 5213, 10274, 13359, 27242, 66515, 236743, 236810, 236810, 236908, 568, 27612, 684, 30450, 573, 623, 78360, 11764, 236775, 1646, 623, 20097, 522, 236775, 532, 623, 12009, 38011, 1373, 138, 107, 236772, 5213, 36073, 31294, 27242, 66515, 236743, 236812, 236810, 236908, 568, 41889, 580, 623, 13066, 9097, 8178, 55619, 699, 506, 15707, 236789, 236751, 7824, 1373, 138, 107, 236772, 5213, 229806, 16575, 66515, 236743, 236828, 236810, 236908, 138, 107, 236772, 5213, 3503, 105701, 100713, 66515, 65371, 236764, 607, 15281, 5676, 12732, 2101, 92353, 83285, 568, 236832, 236771, 236908, 12732, 236768, 5483, 531, 506, 3527, 52369, 580, 8325, 10065, 568, 236800, 236828, 236908, 123079, 769, 138, 108, 7243, 108, 10354, 5213, 53377, 607, 46030, 51474, 1018, 138, 107, 236909, 5213, 73734, 1018, 150, 236909, 5213, 7280, 51474, 1018, 162, 236909, 5213, 12400, 51474, 1018, 162, 236909, 138, 107, 236909, 2819, 40686, 236909, 2819, 2819, 43386, 236909, 2819, 2819, 29118, 236909, 138, 107, 236909, 5213, 48084, 81800, 1018, 140, 236909, 24246, 57878, 6791, 236766, 98237, 2258, 79339, 1373, 236909, 59494, 9871, 6791, 20097, 522, 14089, 1373, 1109, 138, 107, 236909, 5213, 63702, 81800, 1018, 140, 236909, 63456, 529, 20222, 8325, 10065, 144, 236909, 3725, 15516, 699, 15707, 7824, 150, 236909, 138, 107, 236909, 5213, 229806, 528, 13768, 1018, 1109, 236743, 236819, 236778, 236908, 568, 9347, 497, 63870, 236768, 157, 236909, 236743, 236828, 236810, 236908, 568, 5576, 110740, 52369, 236768, 155, 236909, 138, 108, 7243, 108, 10354, 5213, 23910, 76374, 1018, 138, 107, 236770, 236761, 5213, 818, 18644, 2372, 180354, 161601, 66515, 138, 107, 139, 236772, 10508, 7365, 8357, 201150, 4342, 236764, 840, 528, 1607, 6667, 236787, 138, 107, 141, 236772, 5315, 236787, 3398, 11354, 11302, 528, 8325, 15459, 236761, 138, 107, 141, 236772, 9674, 236787, 27733, 54520, 1534, 20431, 532, 15707, 7824, 236761, 138, 107, 236778, 236761, 5213, 102711, 38456, 66515, 138, 107, 139, 236772, 669, 4414, 6608, 531, 225332, 12205, 672, 1451, 577, 496, 2307, 234234, 573, 32801, 15154, 236761, 138, 108, 10354, 5213, 201430, 1018, 138, 107, 236772, 5213, 15413, 32443, 35593, 1230, 66515, 138, 107, 138, 236772, 128900, 92353, 67966, 531, 5330, 90993, 8913, 607, 8249, 15707, 22888, 236761, 138, 107, 138, 236772, 84567, 7760, 573, 20222, 11421, 1651, 16977, 92353, 64106, 236761, 138, 107, 236772, 5213, 102711, 25772, 66515, 138, 107, 138, 236772, 212649, 4414, 9697, 580, 225332, 531, 1702, 919, 57337, 30427, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 4767, 7365, 531, 18855, 1239, 9935, 236881, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 496, 4168, 5498, 699, 496, 4803, 10561, 15707, 8115, 236787, 756, 818, 92353, 3213, 580, 11321, 17538, 691, 8632, 236764, 840, 506, 6220, 529, 21931, 4820, 1603, 625, 2597, 2002, 5483, 531, 1032, 16236, 9952, 7085, 7323, 18840, 672, 886, 618, 1388, 236761, 564, 1461, 531, 4087, 3363, 506, 16625, 1534, 92353, 8744, 532, 21931, 15154, 563, 496, 9958, 3759, 3418, 1607, 28675, 236761, 6542, 236764, 1451, 611, 27834, 506, 123079, 14900, 699, 784, 1806, 18025, 834, 2793, 531, 8701, 837, 6084, 237028, 1437, 18644, 83285, 653, 225332, 237028, 5594, 496, 15281, 4100, 580, 32801, 89194, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 3714, 66387, 1083, 623, 45258, 827, 623, 32504, 1083, 3714, 11798, 31294, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 1163, 13359, 1083, 236743, 236771, 236761, 236812, 236828, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236819, 1263, 623, 28263, 236779, 13308, 1083, 3714, 2478, 236779, 86708, 1083, 11058, 8819, 17538, 827, 623, 2266, 13692, 14255, 623, 54012, 524, 236779, 28438, 116722, 1083, 11058, 6990, 2707, 827, 623, 88933, 531, 16236, 9952, 14255, 623, 19859, 236779, 3456, 1083, 623, 501, 827, 623, 4368, 236779, 4406, 236779, 3456, 1083, 623, 27083, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 7284, 3843, 1083, 3714, 78226, 236779, 126775, 1083, 623, 45258, 236779, 1071, 236779, 27851, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236819, 236764, 623, 30558, 236779, 75615, 1083, 78493, 1005, 1083, 623, 1437, 18644, 3213, 580, 11321, 17538, 691, 8632, 827, 623, 126775, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 111610, 236779, 19112, 1083, 11058, 553, 18570, 567, 827, 623, 21878, 99471, 1604, 623, 27851, 236779, 75615, 1083, 78493, 1005, 1083, 623, 139959, 529, 21931, 4820, 1603, 625, 2597, 2002, 827, 623, 126775, 236779, 8318, 1083, 753, 236771, 236761, 236825, 236810, 236764, 623, 111610, 236779, 19112, 1083, 11058, 2763, 82035, 827, 623, 236763, 2926, 542, 1935, 200808, 623, 45660, 236779, 5140, 236779, 28263, 1083, 3714, 1437, 18644, 236779, 1364, 180354, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236770, 236764, 623, 41427, 1083, 11058, 8819, 17538, 827, 623, 1437, 18644, 3213, 152254, 623, 2266, 13692, 1083, 3714, 8318, 1083, 753, 236771, 236761, 236825, 236770, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236832, 236764, 623, 41427, 1083, 11058, 78360, 4820, 827, 623, 6990, 1935, 5237, 623, 11798, 31294, 236779, 32504, 1083, 3714, 12293, 236779, 11798, 847, 1083, 236743, 236770, 236764, 623, 27851, 236779, 553, 104098, 1083, 236743, 236778, 236764, 623, 88933, 236779, 80384, 1083, 236743, 236771, 236761, 236810, 236828, 1263, 623, 21052, 1083, 3714, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 4368, 236779, 3456, 1083, 623, 126775, 236772, 8218, 236772, 236766, 236812, 827, 623, 23046, 236779, 2289, 236779, 1356, 1083, 236743, 236770, 236812, 236810, 1807, 106, 107, 105, 4368, 107, 10354, 5213, 42173, 51474, 13768, 1018, 138, 107, 236772, 5213, 33062, 162249, 66515, 77092, 236772, 1071, 236772, 27851, 568, 236810, 236778, 236908, 123079, 7728, 236761, 236743, 236812, 236828, 236908, 77694, 236768, 138, 107, 236772, 5213, 3503, 137944, 66515, 138, 107, 138, 236772, 5213, 48084, 66515, 27717, 92353, 83285, 6791, 8819, 17538, 236775, 43605, 618, 623, 152812, 2098, 236743, 236832, 236778, 236908, 4414, 6317, 769, 138, 107, 138, 236772, 5213, 63702, 66515, 63456, 529, 225332, 6791, 6990, 2707, 236775, 5483, 531, 623, 176395, 9952, 2098, 236743, 236825, 236810, 236908, 5676, 6317, 769, 138, 107, 236772, 5213, 229806, 16575, 66515, 236743, 236828, 236819, 236908, 138, 108, 7243, 108, 10354, 5213, 47420, 65252, 15999, 31294, 95324, 64552, 2343, 66066, 1018, 138, 107, 236909, 5213, 52795, 31278, 1018, 143, 236909, 5213, 36073, 31294, 27242, 1018, 1109, 5213, 32663, 33868, 1018, 151, 236909, 138, 107, 236909, 2819, 40673, 236909, 2819, 33129, 236909, 2819, 2819, 171168, 138, 107, 236909, 5213, 236770, 540, 568, 56051, 60197, 62902, 1109, 236743, 236800, 236828, 236908, 153, 236909, 8382, 62886, 529, 20222, 11421, 1109, 138, 107, 236909, 5213, 236778, 523, 568, 818, 18644, 3725, 15516, 62902, 1109, 236743, 236812, 236810, 236908, 145, 236909, 16476, 1610, 3930, 4647, 607, 7824, 1109, 138, 107, 236909, 5213, 236800, 7221, 568, 3845, 13692, 62478, 62902, 1109, 5213, 236810, 236778, 236908, 1018, 147, 236909, 5213, 137499, 529, 21931, 4820, 1018, 138, 236909, 138, 108, 1018, 65965, 66515, 15999, 31294, 14900, 3553, 607, 104708, 1003, 225332, 236764, 22169, 625, 1149, 735, 496, 15281, 4100, 580, 89194, 1082, 92353, 83285, 4342, 236761, 138, 108, 7243, 108, 10354, 5213, 23910, 13768, 1018, 138, 107, 236770, 236761, 5213, 818, 18644, 69934, 7728, 236761, 4471, 13692, 66515, 138, 107, 139, 236772, 5213, 818, 18644, 2372, 180354, 66515, 20354, 2470, 528, 506, 4168, 5498, 568, 236832, 236778, 236908, 4414, 236768, 840, 48950, 528, 506, 1855, 568, 236832, 236771, 236908, 5676, 769, 138, 107, 139, 236772, 5213, 3845, 13692, 66515, 118189, 524, 618, 496, 5213, 2478, 234234, 1018, 528, 506, 1855, 5498, 568, 236828, 236778, 236908, 4414, 779, 3819, 1061, 12312, 26214, 506, 5213, 78353, 123079, 6317, 568, 236810, 236778, 11376, 1018, 528, 506, 4168, 236761, 138, 107, 236778, 236761, 5213, 81046, 151933, 66515, 138, 107, 139, 236772, 40499, 2015, 14756, 3188, 92353, 3213, 568, 236744, 236761, 236759, 1126, 623, 8819, 17538, 236775, 22323, 779, 840, 5213, 27562, 4532, 54828, 531, 7002, 672, 607, 57337, 236764, 21931, 9871, 84750, 138, 108, 7243, 108, 10354, 5213, 201430, 1018, 138, 107, 236772, 5213, 9604, 4471, 13692, 667, 2786, 66515, 138, 107, 138, 236772, 669, 4168, 5498, 236858, 236751, 236743, 236810, 236778, 236908, 123079, 6317, 104811, 600, 2002, 19365, 1149, 15747, 24622, 606, 16236, 28675, 236761, 138, 107, 236772, 5213, 818, 18644, 236772, 102711, 31814, 66515, 138, 107, 138, 236772, 6890, 506, 1855, 5498, 236858, 236751, 2630, 6791, 20097, 522, 14089, 236775, 35490, 236768, 618, 496, 2028, 531, 25139, 225332, 1131, 92353, 30427, 568, 236744, 236761, 236759, 1126, 21931, 4820, 22260, 623, 8819, 17538, 4248, 138, 107, 236772, 5213, 2100, 236772, 154902, 565, 3054, 66515, 138, 107, 138, 236772, 26295, 123079, 15067, 236787, 4471, 13692, 104708, 659, 15213, 568, 236812, 236810, 236908, 16130, 236743, 236810, 236778, 28585, 1651, 92353, 4342, 9729, 236761, 22282, 77372, 16217, 30427, 600, 16529, 1800, 14682, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 496, 10080, 5498, 531, 9128, 672, 225332, 236772, 27612, 123079, 7003, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 1041, 15771, 236789, 236751, 1873, 3736, 532, 22600, 37707, 531, 10741, 837, 1208, 68219, 10091, 531, 544, 58895, 8797, 11213, 1041, 9578, 7009, 23937, 236761, 9187, 684, 67896, 1041, 15771, 1262, 531, 8701, 10091, 607, 7623, 3426, 236743, 236810, 236908, 895, 26119, 236764, 1299, 4071, 236772, 30449, 1724, 3530, 10091, 607, 22600, 37707, 531, 1460, 768, 1027, 659, 14812, 573, 544, 137939, 236761, 6890, 506, 15771, 5904, 1171, 236764, 1299, 506, 37707, 236779, 47971, 5904, 607, 506, 1208, 68219, 10091, 618, 4403, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35301, 236779, 547, 1083, 623, 11029, 198890, 6462, 236779, 236778, 236771, 236778, 236800, 827, 623, 6725, 236779, 2394, 1083, 236743, 236828, 236812, 236810, 236771, 236771, 236771, 236761, 236810, 236764, 623, 28128, 236779, 2060, 236779, 236762, 2004, 1083, 236743, 236800, 236761, 236828, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 87074, 1083, 236743, 236770, 236810, 236761, 236778, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236770, 236778, 236828, 236810, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236832, 236761, 236770, 236764, 623, 37716, 236779, 5909, 1083, 623, 114292, 23179, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 87074, 1083, 236743, 236828, 236761, 236810, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236832, 236770, 236828, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 753, 236778, 236761, 236812, 236764, 623, 37716, 236779, 5909, 1083, 623, 11480, 23179, 3714, 22037, 1083, 623, 236863, 54222, 827, 623, 87074, 1083, 236743, 236770, 236778, 236761, 236832, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236770, 236771, 236832, 236800, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236812, 236761, 236778, 236764, 623, 37716, 236779, 5909, 1083, 623, 976, 23179, 3714, 22037, 1083, 623, 47149, 7172, 827, 623, 87074, 1083, 236743, 236825, 236761, 236800, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236810, 236800, 236778, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236819, 236761, 236828, 236764, 623, 37716, 236779, 5909, 1083, 623, 11480, 23179, 3714, 22037, 1083, 623, 236791, 17179, 827, 623, 87074, 1083, 236743, 236819, 236761, 236770, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236832, 236825, 236828, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236800, 236761, 236770, 236764, 623, 37716, 236779, 5909, 1083, 623, 976, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47971, 236779, 162746, 1083, 78493, 41454, 236779, 547, 1083, 623, 236774, 236770, 236771, 236771, 236770, 827, 623, 29062, 1083, 623, 226046, 827, 623, 2064, 1083, 623, 44916, 827, 623, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 4818, 1083, 623, 47971, 14860, 827, 623, 27388, 1083, 623, 500, 137939, 23179, 3714, 41454, 236779, 547, 1083, 623, 236774, 236770, 236771, 236771, 236810, 827, 623, 29062, 1083, 623, 5911, 11319, 827, 623, 2064, 1083, 623, 20786, 827, 623, 22111, 1083, 236743, 236828, 236771, 236764, 623, 4818, 1083, 623, 25309, 522, 19960, 827, 623, 27388, 1083, 623, 186192, 211052, 25938, 1604, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236812, 236828, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 15771, 532, 22600, 37707, 531, 1573, 822, 211052, 4893, 236787, 108, 1018, 14713, 68219, 51347, 568, 236874, 26119, 9657, 655, 236810, 236908, 1473, 1018, 107, 236770, 236761, 5213, 5911, 11319, 1018, 753, 236778, 236761, 236812, 236908, 568, 13238, 32180, 236768, 107, 236778, 236761, 5213, 236791, 17179, 1018, 236743, 236800, 236761, 236770, 236908, 568, 26834, 32180, 236768, 108, 1018, 61433, 17648, 12713, 236772, 9313, 53121, 107, 236772, 5213, 5911, 11319, 66515, 101212, 3717, 5754, 568, 236774, 236770, 236771, 236771, 236810, 236768, 573, 236743, 236828, 236771, 12085, 753, 623, 186192, 211052, 236775, 107, 236772, 5213, 236791, 17179, 66515, 2301, 22600, 37707, 8385, 108, 1018, 211199, 53121, 138, 107, 8409, 34654, 11319, 563, 1208, 68219, 236764, 506, 1458, 3831, 496, 22600, 3717, 5754, 17674, 5158, 211052, 236761, 593, 17179, 568, 236800, 236761, 236770, 236908, 994, 236768, 7412, 919, 9273, 573, 211052, 2338, 236787, 138, 107, 236770, 236761, 1030, 815, 951, 22600, 37707, 138, 107, 236778, 236761, 210979, 496, 2708, 236772, 37716, 8781, 138, 107, 236800, 236761, 8382, 132548, 6658, 531, 822, 236743, 236810, 236908, 14272, 138, 108, 24501, 11010, 593, 17179, 54561, 531, 3055, 822, 7009, 23937, 236764, 618, 672, 211052, 1093, 236787, 138, 107, 236772, 22221, 496, 9958, 1208, 721, 42591, 138, 107, 236772, 120892, 822, 34654, 11319, 2939, 837, 506, 1458, 563, 3016, 544, 137939, 138, 107, 236772, 75133, 15771, 4652, 8781, 568, 716, 32655, 2708, 236772, 37716, 573, 2708, 236772, 37716, 236768, 138, 108, 38786, 611, 1133, 786, 531, 9279, 4453, 24676, 699, 593, 17179, 87855, 653, 2028, 1607, 211052, 25521, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 1041, 15771, 236789, 236751, 1873, 3736, 532, 22600, 37707, 531, 10741, 837, 1208, 68219, 10091, 531, 544, 58895, 8797, 11213, 1041, 9578, 7009, 23937, 236761, 9187, 684, 67896, 1041, 15771, 1262, 531, 8701, 10091, 607, 7623, 3426, 236743, 236810, 236908, 895, 26119, 236764, 1299, 4071, 236772, 30449, 1724, 3530, 10091, 607, 22600, 37707, 531, 1460, 768, 1027, 659, 14812, 573, 544, 137939, 236761, 6890, 506, 15771, 5904, 1171, 236764, 1299, 506, 37707, 236779, 47971, 5904, 607, 506, 1208, 68219, 10091, 618, 4403, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35301, 236779, 547, 1083, 623, 11029, 198890, 6462, 236779, 236778, 236771, 236778, 236800, 827, 623, 6725, 236779, 2394, 1083, 236743, 236828, 236812, 236810, 236771, 236771, 236771, 236761, 236810, 236764, 623, 28128, 236779, 2060, 236779, 236762, 2004, 1083, 236743, 236800, 236761, 236828, 236764, 623, 9301, 1083, 78493, 22037, 1083, 623, 226046, 827, 623, 87074, 1083, 236743, 236770, 236810, 236761, 236778, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236770, 236778, 236828, 236810, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236832, 236761, 236770, 236764, 623, 37716, 236779, 5909, 1083, 623, 114292, 23179, 3714, 22037, 1083, 623, 5911, 11319, 827, 623, 87074, 1083, 236743, 236828, 236761, 236810, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236832, 236770, 236828, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 753, 236778, 236761, 236812, 236764, 623, 37716, 236779, 5909, 1083, 623, 11480, 23179, 3714, 22037, 1083, 623, 236863, 54222, 827, 623, 87074, 1083, 236743, 236770, 236778, 236761, 236832, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236770, 236771, 236832, 236800, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236812, 236761, 236778, 236764, 623, 37716, 236779, 5909, 1083, 623, 976, 23179, 3714, 22037, 1083, 623, 47149, 7172, 827, 623, 87074, 1083, 236743, 236825, 236761, 236800, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236810, 236800, 236778, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236819, 236761, 236828, 236764, 623, 37716, 236779, 5909, 1083, 623, 11480, 23179, 3714, 22037, 1083, 623, 236791, 17179, 827, 623, 87074, 1083, 236743, 236819, 236761, 236770, 236764, 623, 4002, 236779, 2394, 1083, 236743, 236832, 236825, 236828, 236771, 236771, 236761, 236771, 236764, 623, 2060, 236779, 236762, 2004, 1083, 236743, 236800, 236761, 236770, 236764, 623, 37716, 236779, 5909, 1083, 623, 976, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47971, 236779, 162746, 1083, 78493, 41454, 236779, 547, 1083, 623, 236774, 236770, 236771, 236771, 236770, 827, 623, 29062, 1083, 623, 226046, 827, 623, 2064, 1083, 623, 44916, 827, 623, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 4818, 1083, 623, 47971, 14860, 827, 623, 27388, 1083, 623, 500, 137939, 23179, 3714, 41454, 236779, 547, 1083, 623, 236774, 236770, 236771, 236771, 236810, 827, 623, 29062, 1083, 623, 5911, 11319, 827, 623, 2064, 1083, 623, 20786, 827, 623, 22111, 1083, 236743, 236828, 236771, 236764, 623, 4818, 1083, 623, 25309, 522, 19960, 827, 623, 27388, 1083, 623, 186192, 211052, 25938, 1604, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236812, 236828, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 15771, 532, 22600, 37707, 531, 1573, 822, 211052, 4893, 236787, 108, 1018, 14713, 68219, 51347, 568, 236874, 26119, 9657, 655, 236810, 236908, 1473, 1018, 107, 236770, 236761, 5213, 5911, 11319, 1018, 753, 236778, 236761, 236812, 236908, 568, 13238, 32180, 236768, 107, 236778, 236761, 5213, 236791, 17179, 1018, 236743, 236800, 236761, 236770, 236908, 568, 26834, 32180, 236768, 108, 1018, 61433, 17648, 12713, 236772, 9313, 53121, 107, 236772, 5213, 5911, 11319, 66515, 101212, 3717, 5754, 568, 236774, 236770, 236771, 236771, 236810, 236768, 573, 236743, 236828, 236771, 12085, 753, 623, 186192, 211052, 236775, 107, 236772, 5213, 236791, 17179, 66515, 2301, 22600, 37707, 8385, 108, 1018, 211199, 53121, 138, 107, 8409, 34654, 11319, 563, 1208, 68219, 236764, 506, 1458, 3831, 496, 22600, 3717, 5754, 17674, 5158, 211052, 236761, 593, 17179, 568, 236800, 236761, 236770, 236908, 994, 236768, 7412, 919, 9273, 573, 211052, 2338, 236787, 138, 107, 236770, 236761, 1030, 815, 951, 22600, 37707, 138, 107, 236778, 236761, 210979, 496, 2708, 236772, 37716, 8781, 138, 107, 236800, 236761, 8382, 132548, 6658, 531, 822, 236743, 236810, 236908, 14272, 138, 108, 24501, 11010, 593, 17179, 54561, 531, 3055, 822, 7009, 23937, 236764, 618, 672, 211052, 1093, 236787, 138, 107, 236772, 22221, 496, 9958, 1208, 721, 42591, 138, 107, 236772, 120892, 822, 34654, 11319, 2939, 837, 506, 1458, 563, 3016, 544, 137939, 138, 107, 236772, 75133, 15771, 4652, 8781, 568, 716, 32655, 2708, 236772, 37716, 573, 2708, 236772, 37716, 236768, 138, 108, 38786, 611, 1133, 786, 531, 9279, 4453, 24676, 699, 593, 17179, 87855, 653, 2028, 1607, 211052, 25521, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 7001, 2148, 2297, 532, 1093, 2765, 531, 1281, 1003, 506, 11149, 18533, 13721, 13922, 993, 236761, 28344, 611, 2426, 1144, 13721, 659, 14812, 573, 5857, 236743, 236778, 236771, 236778, 236800, 236881, 564, 236789, 236753, 1133, 531, 1460, 768, 1027, 2473, 577, 5367, 16270, 1651, 564, 236789, 236757, 528, 506, 2433, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 11149, 18533, 13721, 14812, 528, 7001, 573, 5857, 236743, 236778, 236771, 236778, 236800, 236764, 564, 1202, 496, 3530, 3433, 2351, 600, 2297, 236761, 28344, 611, 2847, 496, 2931, 1719, 568, 236744, 236761, 236759, 1126, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 611, 236789, 500, 7467, 528, 236881, 1174, 795, 2174, 786, 531, 33205, 506, 4453, 13721, 13922, 580, 600, 3433, 236761, 106, 107, 105, 2364, 107, 36022, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 12054, 1535, 236761, 3792, 786, 1281, 1144, 13721, 659, 14812, 573, 600, 1719, 753, 564, 236789, 236757, 23210, 531, 1460, 768, 1027, 8913, 607, 1041, 4301, 6614, 3541, 9079, 3209, 600, 2069, 236761, 7062, 236764, 532, 768, 993, 659, 5065, 4749, 236764, 1451, 611, 5433, 837, 5906, 3204, 28172, 26931, 653, 2523, 236772, 18865, 5085, 236881, 3551, 78856, 795, 577, 16058, 786, 532, 1304, 236789, 236751, 4346, 506, 11149, 81536, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 168035, 1083, 78493, 1201, 1083, 623, 50429, 12059, 97811, 30925, 17540, 827, 623, 7125, 1083, 623, 50429, 236764, 7001, 827, 623, 1896, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 16518, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 1847, 236764, 623, 10774, 236779, 18865, 1083, 1847, 236764, 623, 60993, 1083, 11058, 70260, 236789, 11149, 236772, 68122, 28023, 827, 623, 24137, 26931, 1935, 5237, 3714, 1201, 1083, 623, 1659, 638, 14398, 30925, 17540, 827, 623, 7125, 1083, 623, 1659, 638, 14398, 236764, 7001, 827, 623, 1896, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 16518, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 2416, 236764, 623, 10774, 236779, 18865, 1083, 1847, 236764, 623, 60993, 1083, 11058, 102711, 18533, 159405, 827, 623, 19434, 10023, 4106, 1935, 5237, 3714, 1201, 1083, 623, 3321, 826, 6914, 236772, 4967, 50897, 6601, 30925, 17540, 827, 623, 7125, 1083, 623, 3321, 826, 6914, 236764, 7001, 827, 623, 1896, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 16518, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 1847, 236764, 623, 10774, 236779, 18865, 1083, 2416, 236764, 623, 60993, 1083, 11058, 56753, 123637, 2874, 236772, 624, 236772, 16745, 1713, 1935, 1807, 1604, 623, 14210, 1083, 623, 50429, 12059, 97811, 5469, 506, 1346, 2523, 236772, 29963, 5085, 236764, 2440, 496, 11554, 2940, 236789, 236751, 10202, 607, 63183, 33249, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 11149, 18533, 13721, 14812, 528, 7001, 580, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 607, 4889, 7798, 531, 822, 4301, 6614, 236787, 108, 1018, 236770, 236761, 9079, 12059, 97811, 30925, 17540, 1018, 138, 107, 236772, 5213, 6375, 66515, 9079, 236764, 7001, 138, 107, 236772, 5213, 2866, 66515, 236743, 236778, 236787, 236771, 236771, 8711, 226100, 138, 107, 236772, 5213, 27144, 66515, 138, 107, 138, 240732, 148735, 26931, 2487, 138, 107, 138, 240732, 12831, 236772, 18865, 607, 5085, 236787, 138, 107, 140, 236772, 26451, 236789, 11149, 236772, 68122, 28023, 138, 107, 140, 236772, 84989, 26931, 138, 107, 140, 236772, 5213, 166997, 2940, 236858, 236751, 10202, 607, 63183, 33249, 1018, 568, 54012, 524, 528, 506, 5433, 236768, 138, 108, 1018, 236778, 236761, 129584, 14398, 30925, 17540, 1018, 138, 107, 236772, 5213, 6375, 66515, 129584, 14398, 236764, 7001, 568, 17868, 236761, 236743, 236770, 6468, 699, 9079, 236768, 138, 107, 236772, 5213, 2866, 66515, 236743, 236812, 236787, 236800, 236771, 8711, 226100, 138, 107, 236772, 5213, 27144, 66515, 138, 107, 138, 242523, 2301, 28172, 26931, 138, 107, 138, 240732, 12831, 236772, 18865, 607, 5085, 236787, 138, 107, 140, 236772, 59494, 18533, 159405, 138, 107, 140, 236772, 170757, 4106, 138, 108, 1018, 236800, 236761, 1783, 826, 6914, 236772, 4967, 50897, 6601, 30925, 17540, 1018, 138, 107, 236772, 5213, 6375, 66515, 1783, 826, 6914, 236764, 7001, 568, 17868, 236761, 236743, 236778, 236761, 236810, 3885, 699, 9079, 236768, 138, 107, 236772, 5213, 2866, 66515, 236743, 236800, 236787, 236812, 236810, 8711, 226100, 138, 107, 236772, 5213, 27144, 66515, 138, 107, 138, 240732, 148735, 26931, 2487, 138, 107, 138, 242523, 3790, 2523, 236772, 18865, 568, 60993, 3213, 580, 6779, 48030, 236768, 138, 108, 1018, 211199, 66515, 138, 107, 2542, 496, 2523, 236772, 18865, 2707, 607, 822, 78856, 236764, 5213, 50429, 12059, 97811, 1018, 563, 7436, 2779, 531, 1061, 28172, 26931, 236764, 11554, 2940, 236858, 236751, 5085, 236764, 532, 6082, 4563, 528, 9079, 236761, 129584, 14398, 563, 496, 3107, 9302, 768, 611, 236858, 500, 1932, 531, 496, 2822, 5697, 236761, 1783, 826, 6914, 1093, 1660, 919, 4301, 532, 40826, 1919, 236772, 41889, 31087, 236761, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 37643, 653, 1601, 16329, 15830, 573, 28172, 26931, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 25890, 236888, 9079, 12059, 97811, 12054, 4011, 573, 775, 236761, 28344, 611, 2426, 506, 5213, 49540, 236779, 236750, 236779, 29774, 236779, 13308, 1018, 573, 506, 9079, 12059, 97811, 2460, 580, 5857, 236743, 236770, 236810, 594, 236881, 564, 236858, 236753, 2765, 531, 1281, 506, 2587, 10368, 529, 22758, 236764, 1027, 24786, 17768, 653, 673, 230051, 22765, 236764, 532, 768, 993, 236858, 236751, 496, 6584, 531, 1460, 4977, 236772, 1437, 236772, 85151, 4106, 1133, 506, 124854, 1913, 506, 28172, 4469, 236761, 3551, 78856, 236858, 236751, 12089, 563, 2148, 2297, 236764, 532, 564, 236858, 236753, 1133, 531, 2731, 496, 2803, 1719, 2101, 2613, 1304, 236858, 859, 5630, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 49540, 236779, 5640, 1083, 236743, 236770, 236764, 623, 7125, 1083, 623, 50429, 12059, 97811, 30925, 17540, 827, 623, 236750, 2620, 1083, 78493, 2289, 1083, 623, 236770, 236812, 236787, 236800, 236771, 827, 623, 42255, 236779, 1201, 1083, 623, 212079, 569, 537, 236789, 31861, 569, 14463, 25011, 499, 43671, 827, 623, 103088, 1083, 78493, 46081, 1083, 6443, 236756, 236771, 236771, 236755, 236819, 1071, 755, 1747, 5587, 495, 827, 623, 236804, 16826, 1083, 623, 236791, 236761, 730, 5257, 827, 623, 136849, 1083, 623, 236792, 236761, 15118, 203049, 23179, 3714, 46081, 1083, 623, 175994, 569, 646, 3848, 827, 623, 236804, 16826, 1083, 623, 236798, 236761, 11393, 827, 623, 136849, 1083, 623, 236811, 236761, 186182, 25938, 1604, 623, 12103, 1083, 3714, 52800, 1083, 6443, 236756, 236771, 236771, 236755, 236819, 1071, 755, 1747, 5587, 495, 827, 623, 14293, 1083, 623, 236770, 236743, 236770, 236786, 236812, 25565, 236775, 5237, 3714, 2289, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 42255, 236779, 1201, 1083, 623, 39977, 185200, 519, 236772, 169522, 569, 9079, 827, 623, 103088, 1083, 78493, 46081, 1083, 623, 236773, 1474, 497, 4008, 827, 623, 236804, 16826, 1083, 623, 236776, 236761, 186182, 827, 623, 136849, 1083, 623, 236863, 236761, 81248, 23179, 3714, 46081, 1083, 623, 39977, 621, 236756, 236771, 236771, 236755, 236819, 574, 49030, 827, 623, 236804, 16826, 1083, 623, 236792, 236761, 52610, 827, 623, 136849, 1083, 623, 236780, 236761, 144124, 25938, 1604, 623, 12103, 1083, 3714, 52800, 1083, 623, 236773, 1474, 497, 4008, 827, 623, 14293, 1083, 623, 236800, 25565, 127096, 1604, 623, 66414, 236779, 30400, 1083, 3714, 41413, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 842, 2639, 833, 17263, 133341, 10990, 827, 623, 12549, 1083, 623, 86592, 4106, 2440, 673, 230051, 236789, 34025, 532, 1868, 236772, 42255, 3671, 2978, 827, 623, 18146, 1083, 623, 131377, 133112, 4429, 607, 48597, 11048, 23179, 623, 4818, 1083, 623, 87877, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 20756, 573, 506, 5213, 50429, 12059, 97811, 30925, 17540, 1018, 5395, 580, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 63947, 997, 236770, 1473, 108, 7243, 108, 10354, 236743, 252112, 5213, 71565, 27468, 833, 164577, 60624, 1018, 138, 107, 1018, 236770, 236761, 40003, 569, 537, 236789, 31861, 569, 14463, 25011, 499, 43671, 1018, 138, 107, 236772, 5213, 2866, 66515, 236743, 236778, 236787, 236800, 236771, 8711, 226100, 568, 236770, 236812, 236787, 236800, 236771, 236768, 138, 107, 236772, 5213, 3503, 78904, 833, 730, 230051, 66515, 138, 107, 138, 236772, 808, 237642, 1071, 755, 1747, 5587, 495, 236829, 568, 236863, 16826, 236787, 593, 236761, 730, 5257, 236768, 1271, 67316, 529, 672, 7464, 7547, 138, 107, 138, 236772, 808, 175994, 569, 646, 3848, 236829, 568, 236863, 16826, 236787, 639, 236761, 11393, 236768, 138, 107, 236772, 5213, 4116, 66515, 9848, 1071, 755, 1747, 5587, 495, 2810, 684, 5213, 236770, 236743, 236770, 236786, 236812, 25565, 84750, 138, 108, 1018, 236778, 236761, 7997, 185200, 519, 236772, 169522, 569, 9079, 1018, 138, 107, 236772, 5213, 2866, 66515, 236743, 236812, 236787, 236771, 236771, 8711, 226100, 568, 236770, 236825, 236787, 236771, 236771, 236768, 138, 107, 236772, 5213, 3503, 78904, 833, 730, 230051, 66515, 138, 107, 138, 236772, 808, 236773, 1474, 497, 4008, 236829, 568, 236863, 16826, 236787, 562, 236761, 186182, 236768, 1271, 67316, 138, 107, 138, 236772, 808, 39977, 9848, 574, 49030, 236829, 568, 236863, 16826, 236787, 587, 236761, 52610, 236768, 138, 107, 236772, 5213, 4116, 66515, 210109, 497, 4008, 2810, 168657, 684, 5213, 236800, 25565, 84750, 138, 108, 7243, 108, 10354, 236743, 249041, 5213, 227042, 10990, 20303, 1018, 138, 107, 236772, 5213, 39656, 66515, 5213, 236770, 236770, 236787, 236771, 236771, 8151, 1018, 1271, 842, 2639, 833, 17263, 133341, 10990, 138, 107, 236772, 5213, 101255, 236772, 1437, 236772, 218730, 13863, 66515, 138, 107, 138, 236772, 46071, 506, 124854, 532, 4122, 4106, 236761, 138, 107, 138, 236772, 43193, 2802, 531, 506, 5213, 236804, 230051, 236858, 34025, 1018, 532, 5213, 3274, 236772, 42255, 3671, 2978, 84750, 138, 107, 236772, 5213, 23244, 218090, 66515, 562, 5213, 52373, 133112, 4429, 1018, 607, 496, 48597, 11048, 573, 822, 78856, 236888, 138, 108, 7243, 108, 10354, 204906, 8922, 1174, 6156, 4291, 2199, 7065, 17385, 138, 107, 236772, 5180, 78856, 740, 1460, 1903, 236772, 43289, 17768, 1133, 808, 237642, 1071, 755, 1747, 5587, 495, 236829, 568, 236746, 7464, 13961, 573, 506, 38624, 39461, 569, 14463, 25011, 499, 236768, 532, 3449, 1003, 18533, 699, 55977, 532, 673, 230051, 236761, 138, 107, 236772, 669, 28172, 4469, 5469, 8401, 2802, 531, 124854, 532, 43193, 4106, 236764, 2915, 496, 28233, 12089, 229091, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2426, 4767, 4889, 1133, 15049, 15830, 236764, 16083, 3835, 657, 506, 19573, 236764, 653, 14227, 11221, 699, 6082, 9079, 236881, 3792, 236858, 236751, 1386, 672, 496, 30520, 1719, 236888, 236743, 250009, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 7001, 2148, 2297, 532, 1093, 2765, 531, 1281, 1003, 506, 11149, 18533, 13721, 13922, 993, 236761, 28344, 611, 2426, 1144, 13721, 659, 14812, 573, 5857, 236743, 236778, 236771, 236778, 236800, 236881, 564, 236789, 236753, 1133, 531, 1460, 768, 1027, 2473, 577, 5367, 16270, 1651, 564, 236789, 236757, 528, 506, 2433, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 11149, 18533, 13721, 14812, 528, 7001, 573, 5857, 236743, 236778, 236771, 236778, 236800, 236764, 564, 1202, 496, 3530, 3433, 2351, 600, 2297, 236761, 28344, 611, 2847, 496, 2931, 1719, 568, 236744, 236761, 236759, 1126, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 611, 236789, 500, 7467, 528, 236881, 1174, 795, 2174, 786, 531, 33205, 506, 4453, 13721, 13922, 580, 600, 3433, 236761, 106, 107, 105, 2364, 107, 36022, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 12054, 1535, 236761, 3792, 786, 1281, 1144, 13721, 659, 14812, 573, 600, 1719, 753, 564, 236789, 236757, 23210, 531, 1460, 768, 1027, 8913, 607, 1041, 4301, 6614, 3541, 9079, 3209, 600, 2069, 236761, 7062, 236764, 532, 768, 993, 659, 5065, 4749, 236764, 1451, 611, 5433, 837, 5906, 3204, 28172, 26931, 653, 2523, 236772, 18865, 5085, 236881, 3551, 78856, 795, 577, 16058, 786, 532, 1304, 236789, 236751, 4346, 506, 11149, 81536, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 168035, 1083, 78493, 1201, 1083, 623, 50429, 12059, 97811, 30925, 17540, 827, 623, 7125, 1083, 623, 50429, 236764, 7001, 827, 623, 1896, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 16518, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 1847, 236764, 623, 10774, 236779, 18865, 1083, 1847, 236764, 623, 60993, 1083, 11058, 70260, 236789, 11149, 236772, 68122, 28023, 827, 623, 24137, 26931, 1935, 5237, 3714, 1201, 1083, 623, 1659, 638, 14398, 30925, 17540, 827, 623, 7125, 1083, 623, 1659, 638, 14398, 236764, 7001, 827, 623, 1896, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 16518, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 2416, 236764, 623, 10774, 236779, 18865, 1083, 1847, 236764, 623, 60993, 1083, 11058, 102711, 18533, 159405, 827, 623, 19434, 10023, 4106, 1935, 5237, 3714, 1201, 1083, 623, 3321, 826, 6914, 236772, 4967, 50897, 6601, 30925, 17540, 827, 623, 7125, 1083, 623, 3321, 826, 6914, 236764, 7001, 827, 623, 1896, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 16518, 1083, 3714, 66414, 236779, 236745, 2278, 1083, 1847, 236764, 623, 10774, 236779, 18865, 1083, 2416, 236764, 623, 60993, 1083, 11058, 56753, 123637, 2874, 236772, 624, 236772, 16745, 1713, 1935, 1807, 1604, 623, 14210, 1083, 623, 50429, 12059, 97811, 5469, 506, 1346, 2523, 236772, 29963, 5085, 236764, 2440, 496, 11554, 2940, 236789, 236751, 10202, 607, 63183, 33249, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 11149, 18533, 13721, 14812, 528, 7001, 580, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 607, 4889, 7798, 531, 822, 4301, 6614, 236787, 108, 1018, 236770, 236761, 9079, 12059, 97811, 30925, 17540, 1018, 138, 107, 236772, 5213, 6375, 66515, 9079, 236764, 7001, 138, 107, 236772, 5213, 2866, 66515, 236743, 236778, 236787, 236771, 236771, 8711, 226100, 138, 107, 236772, 5213, 27144, 66515, 138, 107, 138, 240732, 148735, 26931, 2487, 138, 107, 138, 240732, 12831, 236772, 18865, 607, 5085, 236787, 138, 107, 140, 236772, 26451, 236789, 11149, 236772, 68122, 28023, 138, 107, 140, 236772, 84989, 26931, 138, 107, 140, 236772, 5213, 166997, 2940, 236858, 236751, 10202, 607, 63183, 33249, 1018, 568, 54012, 524, 528, 506, 5433, 236768, 138, 108, 1018, 236778, 236761, 129584, 14398, 30925, 17540, 1018, 138, 107, 236772, 5213, 6375, 66515, 129584, 14398, 236764, 7001, 568, 17868, 236761, 236743, 236770, 6468, 699, 9079, 236768, 138, 107, 236772, 5213, 2866, 66515, 236743, 236812, 236787, 236800, 236771, 8711, 226100, 138, 107, 236772, 5213, 27144, 66515, 138, 107, 138, 242523, 2301, 28172, 26931, 138, 107, 138, 240732, 12831, 236772, 18865, 607, 5085, 236787, 138, 107, 140, 236772, 59494, 18533, 159405, 138, 107, 140, 236772, 170757, 4106, 138, 108, 1018, 236800, 236761, 1783, 826, 6914, 236772, 4967, 50897, 6601, 30925, 17540, 1018, 138, 107, 236772, 5213, 6375, 66515, 1783, 826, 6914, 236764, 7001, 568, 17868, 236761, 236743, 236778, 236761, 236810, 3885, 699, 9079, 236768, 138, 107, 236772, 5213, 2866, 66515, 236743, 236800, 236787, 236812, 236810, 8711, 226100, 138, 107, 236772, 5213, 27144, 66515, 138, 107, 138, 240732, 148735, 26931, 2487, 138, 107, 138, 242523, 3790, 2523, 236772, 18865, 568, 60993, 3213, 580, 6779, 48030, 236768, 138, 108, 1018, 211199, 66515, 138, 107, 2542, 496, 2523, 236772, 18865, 2707, 607, 822, 78856, 236764, 5213, 50429, 12059, 97811, 1018, 563, 7436, 2779, 531, 1061, 28172, 26931, 236764, 11554, 2940, 236858, 236751, 5085, 236764, 532, 6082, 4563, 528, 9079, 236761, 129584, 14398, 563, 496, 3107, 9302, 768, 611, 236858, 500, 1932, 531, 496, 2822, 5697, 236761, 1783, 826, 6914, 1093, 1660, 919, 4301, 532, 40826, 1919, 236772, 41889, 31087, 236761, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 37643, 653, 1601, 16329, 15830, 573, 28172, 26931, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 25890, 236888, 9079, 12059, 97811, 12054, 4011, 573, 775, 236761, 28344, 611, 2426, 506, 5213, 49540, 236779, 236750, 236779, 29774, 236779, 13308, 1018, 573, 506, 9079, 12059, 97811, 2460, 580, 5857, 236743, 236770, 236810, 594, 236881, 564, 236858, 236753, 2765, 531, 1281, 506, 2587, 10368, 529, 22758, 236764, 1027, 24786, 17768, 653, 673, 230051, 22765, 236764, 532, 768, 993, 236858, 236751, 496, 6584, 531, 1460, 4977, 236772, 1437, 236772, 85151, 4106, 1133, 506, 124854, 1913, 506, 28172, 4469, 236761, 3551, 78856, 236858, 236751, 12089, 563, 2148, 2297, 236764, 532, 564, 236858, 236753, 1133, 531, 2731, 496, 2803, 1719, 2101, 2613, 1304, 236858, 859, 5630, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 49540, 236779, 5640, 1083, 236743, 236770, 236764, 623, 7125, 1083, 623, 50429, 12059, 97811, 30925, 17540, 827, 623, 236750, 2620, 1083, 78493, 2289, 1083, 623, 236770, 236812, 236787, 236800, 236771, 827, 623, 42255, 236779, 1201, 1083, 623, 212079, 569, 537, 236789, 31861, 569, 14463, 25011, 499, 43671, 827, 623, 103088, 1083, 78493, 46081, 1083, 6443, 236756, 236771, 236771, 236755, 236819, 1071, 755, 1747, 5587, 495, 827, 623, 236804, 16826, 1083, 623, 236791, 236761, 730, 5257, 827, 623, 136849, 1083, 623, 236792, 236761, 15118, 203049, 23179, 3714, 46081, 1083, 623, 175994, 569, 646, 3848, 827, 623, 236804, 16826, 1083, 623, 236798, 236761, 11393, 827, 623, 136849, 1083, 623, 236811, 236761, 186182, 25938, 1604, 623, 12103, 1083, 3714, 52800, 1083, 6443, 236756, 236771, 236771, 236755, 236819, 1071, 755, 1747, 5587, 495, 827, 623, 14293, 1083, 623, 236770, 236743, 236770, 236786, 236812, 25565, 236775, 5237, 3714, 2289, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 42255, 236779, 1201, 1083, 623, 39977, 185200, 519, 236772, 169522, 569, 9079, 827, 623, 103088, 1083, 78493, 46081, 1083, 623, 236773, 1474, 497, 4008, 827, 623, 236804, 16826, 1083, 623, 236776, 236761, 186182, 827, 623, 136849, 1083, 623, 236863, 236761, 81248, 23179, 3714, 46081, 1083, 623, 39977, 621, 236756, 236771, 236771, 236755, 236819, 574, 49030, 827, 623, 236804, 16826, 1083, 623, 236792, 236761, 52610, 827, 623, 136849, 1083, 623, 236780, 236761, 144124, 25938, 1604, 623, 12103, 1083, 3714, 52800, 1083, 623, 236773, 1474, 497, 4008, 827, 623, 14293, 1083, 623, 236800, 25565, 127096, 1604, 623, 66414, 236779, 30400, 1083, 3714, 41413, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 842, 2639, 833, 17263, 133341, 10990, 827, 623, 12549, 1083, 623, 86592, 4106, 2440, 673, 230051, 236789, 34025, 532, 1868, 236772, 42255, 3671, 2978, 827, 623, 18146, 1083, 623, 131377, 133112, 4429, 607, 48597, 11048, 23179, 623, 4818, 1083, 623, 87877, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 20756, 573, 506, 5213, 50429, 12059, 97811, 30925, 17540, 1018, 5395, 580, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 63947, 997, 236770, 1473, 108, 7243, 108, 10354, 236743, 252112, 5213, 71565, 27468, 833, 164577, 60624, 1018, 138, 107, 1018, 236770, 236761, 40003, 569, 537, 236789, 31861, 569, 14463, 25011, 499, 43671, 1018, 138, 107, 236772, 5213, 2866, 66515, 236743, 236778, 236787, 236800, 236771, 8711, 226100, 568, 236770, 236812, 236787, 236800, 236771, 236768, 138, 107, 236772, 5213, 3503, 78904, 833, 730, 230051, 66515, 138, 107, 138, 236772, 808, 237642, 1071, 755, 1747, 5587, 495, 236829, 568, 236863, 16826, 236787, 593, 236761, 730, 5257, 236768, 1271, 67316, 529, 672, 7464, 7547, 138, 107, 138, 236772, 808, 175994, 569, 646, 3848, 236829, 568, 236863, 16826, 236787, 639, 236761, 11393, 236768, 138, 107, 236772, 5213, 4116, 66515, 9848, 1071, 755, 1747, 5587, 495, 2810, 684, 5213, 236770, 236743, 236770, 236786, 236812, 25565, 84750, 138, 108, 1018, 236778, 236761, 7997, 185200, 519, 236772, 169522, 569, 9079, 1018, 138, 107, 236772, 5213, 2866, 66515, 236743, 236812, 236787, 236771, 236771, 8711, 226100, 568, 236770, 236825, 236787, 236771, 236771, 236768, 138, 107, 236772, 5213, 3503, 78904, 833, 730, 230051, 66515, 138, 107, 138, 236772, 808, 236773, 1474, 497, 4008, 236829, 568, 236863, 16826, 236787, 562, 236761, 186182, 236768, 1271, 67316, 138, 107, 138, 236772, 808, 39977, 9848, 574, 49030, 236829, 568, 236863, 16826, 236787, 587, 236761, 52610, 236768, 138, 107, 236772, 5213, 4116, 66515, 210109, 497, 4008, 2810, 168657, 684, 5213, 236800, 25565, 84750, 138, 108, 7243, 108, 10354, 236743, 249041, 5213, 227042, 10990, 20303, 1018, 138, 107, 236772, 5213, 39656, 66515, 5213, 236770, 236770, 236787, 236771, 236771, 8151, 1018, 1271, 842, 2639, 833, 17263, 133341, 10990, 138, 107, 236772, 5213, 101255, 236772, 1437, 236772, 218730, 13863, 66515, 138, 107, 138, 236772, 46071, 506, 124854, 532, 4122, 4106, 236761, 138, 107, 138, 236772, 43193, 2802, 531, 506, 5213, 236804, 230051, 236858, 34025, 1018, 532, 5213, 3274, 236772, 42255, 3671, 2978, 84750, 138, 107, 236772, 5213, 23244, 218090, 66515, 562, 5213, 52373, 133112, 4429, 1018, 607, 496, 48597, 11048, 573, 822, 78856, 236888, 138, 108, 7243, 108, 10354, 204906, 8922, 1174, 6156, 4291, 2199, 7065, 17385, 138, 107, 236772, 5180, 78856, 740, 1460, 1903, 236772, 43289, 17768, 1133, 808, 237642, 1071, 755, 1747, 5587, 495, 236829, 568, 236746, 7464, 13961, 573, 506, 38624, 39461, 569, 14463, 25011, 499, 236768, 532, 3449, 1003, 18533, 699, 55977, 532, 673, 230051, 236761, 138, 107, 236772, 669, 28172, 4469, 5469, 8401, 2802, 531, 124854, 532, 43193, 4106, 236764, 2915, 496, 28233, 12089, 229091, 236761, 138, 108, 38786, 611, 1133, 786, 531, 2426, 4767, 4889, 1133, 15049, 15830, 236764, 16083, 3835, 657, 506, 19573, 236764, 653, 14227, 11221, 699, 6082, 9079, 236881, 3792, 236858, 236751, 1386, 672, 496, 30520, 1719, 236888, 236743, 250009, 239794, 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, 6995, 496, 7946, 531, 7693, 622, 236761, 236780, 236761, 3209, 672, 3798, 531, 3517, 506, 99209, 236764, 532, 564, 1202, 1601, 16329, 10224, 3835, 236761, 564, 236789, 236757, 13515, 855, 529, 667, 6120, 568, 17224, 6914, 236772, 189243, 508, 9339, 236768, 532, 1093, 1133, 531, 1460, 22344, 531, 139893, 568, 163521, 63483, 17526, 236768, 75389, 580, 6198, 236743, 236800, 7221, 532, 16228, 6198, 236743, 236832, 594, 236761, 564, 236858, 236757, 14887, 607, 27197, 2782, 840, 5278, 5453, 236772, 67719, 22344, 768, 2653, 236761, 564, 11082, 2260, 8122, 1012, 236764, 840, 564, 236858, 236753, 1133, 531, 10769, 6527, 573, 1960, 1012, 42392, 618, 496, 2980, 573, 7564, 236761, 28344, 611, 8091, 872, 784, 2487, 3835, 607, 600, 8283, 236881, 564, 1461, 531, 1386, 2889, 564, 1537, 236858, 236745, 4305, 1027, 4889, 1056, 6995, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 8686, 236770, 236778, 236800, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 20205, 1083, 623, 236823, 6120, 827, 623, 34598, 1083, 623, 236796, 5635, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236778, 236819, 236828, 236761, 236810, 236764, 623, 85512, 1083, 236743, 236812, 236778, 236761, 236800, 236764, 623, 6725, 1083, 236743, 236800, 236812, 236771, 236761, 236828, 1263, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236812, 236810, 236825, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236800, 236770, 236778, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236812, 236810, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236800, 236810, 236832, 236761, 236771, 112679, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236812, 236810, 236825, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 20205, 1083, 623, 236823, 6120, 827, 623, 34598, 1083, 623, 236796, 5635, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236778, 236832, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236819, 236761, 236828, 236764, 623, 6725, 1083, 236743, 236800, 236770, 236812, 236761, 236828, 1263, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236832, 236828, 236819, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236778, 236828, 236819, 236761, 236810, 236764, 623, 85512, 1083, 236743, 236812, 236770, 236761, 236778, 236764, 623, 6725, 1083, 236743, 236800, 236800, 236771, 236761, 236832, 19465, 1604, 623, 2763, 37755, 1083, 623, 178131, 1012, 21212, 3505, 236761, 7449, 1012, 42392, 2487, 699, 609, 236810, 236771, 236771, 4886, 236772, 59667, 568, 11607, 32579, 573, 4889, 769, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 30861, 236779, 8194, 1083, 78493, 725, 10633, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236770, 236778, 236800, 827, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236771, 236828, 236787, 236800, 236771, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236771, 236787, 236812, 236810, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236812, 236828, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 6725, 1083, 236743, 236810, 236810, 236778, 236761, 236810, 5237, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236812, 236810, 236825, 827, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236812, 236787, 236771, 236771, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236825, 236787, 236770, 236810, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236812, 236828, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 6725, 1083, 236743, 236810, 236810, 236778, 236761, 236810, 5237, 623, 6725, 236779, 9707, 1083, 236743, 236770, 236770, 236771, 236810, 236761, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 23019, 23179, 3714, 725, 10633, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236832, 236828, 236819, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236770, 236787, 236770, 236810, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236800, 236787, 236800, 236771, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236810, 236778, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236828, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236810, 236819, 236828, 236761, 236771, 5237, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236770, 236771, 236770, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236825, 236787, 236812, 236810, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236819, 236787, 236771, 236771, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236810, 236778, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236828, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236810, 236819, 236828, 236761, 236771, 5237, 623, 6725, 236779, 9707, 1083, 236743, 236770, 236770, 236819, 236825, 236761, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 23019, 25938, 1604, 623, 2305, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 827, 623, 28881, 236779, 103411, 1083, 3714, 20205, 1083, 623, 236823, 6120, 827, 623, 34598, 1083, 623, 236796, 5635, 827, 623, 113130, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 2060, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 157622, 236779, 1999, 1083, 623, 23019, 827, 623, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 822, 8122, 532, 1960, 1012, 10224, 3835, 236787, 108, 1018, 178131, 6679, 568, 14670, 34960, 1473, 1018, 107, 236770, 236761, 3668, 37403, 23952, 236770, 236778, 236800, 236786, 8686, 236812, 236810, 236825, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236828, 236787, 236800, 236771, 8151, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236778, 236787, 236771, 236771, 8711, 107, 139, 236772, 12613, 236787, 609, 236825, 236819, 236832, 236761, 236828, 236771, 107, 139, 236772, 49483, 236787, 236743, 236778, 236754, 236770, 236810, 236757, 1982, 108, 236778, 236761, 22616, 5661, 40853, 40312, 236812, 236810, 236825, 236786, 30455, 236832, 236828, 236819, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236825, 236787, 236771, 236771, 8711, 107, 139, 236772, 12613, 236787, 609, 236825, 236812, 236810, 236761, 236810, 236771, 107, 139, 236772, 49483, 236787, 236743, 236778, 236754, 236800, 236771, 236757, 1982, 108, 1018, 17844, 6679, 568, 14670, 34960, 1473, 1018, 107, 236770, 236761, 3668, 37403, 23952, 236770, 236778, 236800, 236786, 8686, 236812, 236810, 236825, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236828, 236787, 236800, 236771, 8151, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236778, 236787, 236771, 236771, 8711, 107, 139, 236772, 12613, 236787, 609, 236770, 236764, 236770, 236771, 236810, 236761, 236771, 236771, 568, 236778, 236781, 609, 236810, 236810, 236778, 236761, 236810, 236771, 236768, 107, 139, 236772, 32173, 6417, 236787, 59193, 54788, 236764, 7089, 236772, 18121, 17823, 236764, 13671, 18917, 108, 236778, 236761, 22616, 5661, 40853, 40312, 236832, 236828, 236819, 236786, 30455, 236770, 236771, 236770, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236770, 236770, 236787, 236770, 236810, 8151, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236812, 236787, 236812, 236810, 8711, 107, 139, 236772, 12613, 236787, 609, 236770, 236764, 236770, 236819, 236825, 236761, 236771, 236771, 568, 236778, 236781, 609, 236810, 236819, 236828, 236761, 236771, 236771, 236768, 107, 139, 236772, 32173, 6417, 236787, 59193, 2426, 236772, 495, 236764, 16595, 34025, 2802, 108, 1018, 3503, 85737, 53121, 107, 236772, 14584, 4954, 236787, 609, 236812, 236810, 236771, 23278, 236810, 236810, 236771, 13671, 573, 1960, 1012, 107, 236772, 14537, 236772, 67719, 24104, 236787, 22616, 40312, 236832, 236828, 236819, 568, 236770, 236770, 236787, 236770, 236810, 8151, 236768, 1791, 12853, 822, 21238, 107, 236772, 7449, 1012, 5132, 13671, 31087, 532, 34025, 2802, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 607, 3530, 22195, 1133, 74318, 82221, 653, 3530, 32579, 6417, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 6995, 496, 7946, 531, 7693, 622, 236761, 236780, 236761, 3209, 672, 3798, 531, 3517, 506, 99209, 236764, 532, 564, 1202, 1601, 16329, 10224, 3835, 236761, 564, 236789, 236757, 13515, 855, 529, 667, 6120, 568, 17224, 6914, 236772, 189243, 508, 9339, 236768, 532, 1093, 1133, 531, 1460, 22344, 531, 139893, 568, 163521, 63483, 17526, 236768, 75389, 580, 6198, 236743, 236800, 7221, 532, 16228, 6198, 236743, 236832, 594, 236761, 564, 236858, 236757, 14887, 607, 27197, 2782, 840, 5278, 5453, 236772, 67719, 22344, 768, 2653, 236761, 564, 11082, 2260, 8122, 1012, 236764, 840, 564, 236858, 236753, 1133, 531, 10769, 6527, 573, 1960, 1012, 42392, 618, 496, 2980, 573, 7564, 236761, 28344, 611, 8091, 872, 784, 2487, 3835, 607, 600, 8283, 236881, 564, 1461, 531, 1386, 2889, 564, 1537, 236858, 236745, 4305, 1027, 4889, 1056, 6995, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 8686, 236770, 236778, 236800, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 20205, 1083, 623, 236823, 6120, 827, 623, 34598, 1083, 623, 236796, 5635, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236778, 236819, 236828, 236761, 236810, 236764, 623, 85512, 1083, 236743, 236812, 236778, 236761, 236800, 236764, 623, 6725, 1083, 236743, 236800, 236812, 236771, 236761, 236828, 1263, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236812, 236810, 236825, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236800, 236770, 236778, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236812, 236810, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236800, 236810, 236832, 236761, 236771, 112679, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236812, 236810, 236825, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 20205, 1083, 623, 236823, 6120, 827, 623, 34598, 1083, 623, 236796, 5635, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236778, 236832, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236819, 236761, 236828, 236764, 623, 6725, 1083, 236743, 236800, 236770, 236812, 236761, 236828, 1263, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236832, 236828, 236819, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236778, 236828, 236819, 236761, 236810, 236764, 623, 85512, 1083, 236743, 236812, 236770, 236761, 236778, 236764, 623, 6725, 1083, 236743, 236800, 236800, 236771, 236761, 236832, 19465, 1604, 623, 2763, 37755, 1083, 623, 178131, 1012, 21212, 3505, 236761, 7449, 1012, 42392, 2487, 699, 609, 236810, 236771, 236771, 4886, 236772, 59667, 568, 11607, 32579, 573, 4889, 769, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 30861, 236779, 8194, 1083, 78493, 725, 10633, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236770, 236778, 236800, 827, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236771, 236828, 236787, 236800, 236771, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236771, 236787, 236812, 236810, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236812, 236828, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 6725, 1083, 236743, 236810, 236810, 236778, 236761, 236810, 5237, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236812, 236810, 236825, 827, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236812, 236787, 236771, 236771, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236825, 236787, 236770, 236810, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236812, 236828, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 6725, 1083, 236743, 236810, 236810, 236778, 236761, 236810, 5237, 623, 6725, 236779, 9707, 1083, 236743, 236770, 236770, 236771, 236810, 236761, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 23019, 23179, 3714, 725, 10633, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236832, 236828, 236819, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236770, 236787, 236770, 236810, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236770, 236800, 236787, 236800, 236771, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236810, 236778, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236828, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236810, 236819, 236828, 236761, 236771, 5237, 623, 2060, 236779, 30861, 1083, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236770, 236771, 236770, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236825, 236787, 236812, 236810, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 236774, 236770, 236819, 236787, 236771, 236771, 827, 623, 19001, 1083, 623, 236778, 236754, 236770, 236810, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236810, 236778, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236832, 236828, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236810, 236819, 236828, 236761, 236771, 5237, 623, 6725, 236779, 9707, 1083, 236743, 236770, 236770, 236819, 236825, 236761, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 23019, 25938, 1604, 623, 2305, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 827, 623, 28881, 236779, 103411, 1083, 3714, 20205, 1083, 623, 236823, 6120, 827, 623, 34598, 1083, 623, 236796, 5635, 827, 623, 113130, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 2060, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 157622, 236779, 1999, 1083, 623, 23019, 827, 623, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 822, 8122, 532, 1960, 1012, 10224, 3835, 236787, 108, 1018, 178131, 6679, 568, 14670, 34960, 1473, 1018, 107, 236770, 236761, 3668, 37403, 23952, 236770, 236778, 236800, 236786, 8686, 236812, 236810, 236825, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236828, 236787, 236800, 236771, 8151, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236778, 236787, 236771, 236771, 8711, 107, 139, 236772, 12613, 236787, 609, 236825, 236819, 236832, 236761, 236828, 236771, 107, 139, 236772, 49483, 236787, 236743, 236778, 236754, 236770, 236810, 236757, 1982, 108, 236778, 236761, 22616, 5661, 40853, 40312, 236812, 236810, 236825, 236786, 30455, 236832, 236828, 236819, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236825, 236787, 236771, 236771, 8711, 107, 139, 236772, 12613, 236787, 609, 236825, 236812, 236810, 236761, 236810, 236771, 107, 139, 236772, 49483, 236787, 236743, 236778, 236754, 236800, 236771, 236757, 1982, 108, 1018, 17844, 6679, 568, 14670, 34960, 1473, 1018, 107, 236770, 236761, 3668, 37403, 23952, 236770, 236778, 236800, 236786, 8686, 236812, 236810, 236825, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236828, 236787, 236800, 236771, 8151, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236778, 236787, 236771, 236771, 8711, 107, 139, 236772, 12613, 236787, 609, 236770, 236764, 236770, 236771, 236810, 236761, 236771, 236771, 568, 236778, 236781, 609, 236810, 236810, 236778, 236761, 236810, 236771, 236768, 107, 139, 236772, 32173, 6417, 236787, 59193, 54788, 236764, 7089, 236772, 18121, 17823, 236764, 13671, 18917, 108, 236778, 236761, 22616, 5661, 40853, 40312, 236832, 236828, 236819, 236786, 30455, 236770, 236771, 236770, 107, 139, 236772, 163351, 236787, 4905, 236743, 236800, 1392, 236743, 236770, 236770, 236787, 236770, 236810, 8151, 1109, 9657, 236787, 4905, 236743, 236832, 1392, 236743, 236812, 236787, 236812, 236810, 8711, 107, 139, 236772, 12613, 236787, 609, 236770, 236764, 236770, 236819, 236825, 236761, 236771, 236771, 568, 236778, 236781, 609, 236810, 236819, 236828, 236761, 236771, 236771, 236768, 107, 139, 236772, 32173, 6417, 236787, 59193, 2426, 236772, 495, 236764, 16595, 34025, 2802, 108, 1018, 3503, 85737, 53121, 107, 236772, 14584, 4954, 236787, 609, 236812, 236810, 236771, 23278, 236810, 236810, 236771, 13671, 573, 1960, 1012, 107, 236772, 14537, 236772, 67719, 24104, 236787, 22616, 40312, 236832, 236828, 236819, 568, 236770, 236770, 236787, 236770, 236810, 8151, 236768, 1791, 12853, 822, 21238, 107, 236772, 7449, 1012, 5132, 13671, 31087, 532, 34025, 2802, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 607, 3530, 22195, 1133, 74318, 82221, 653, 3530, 32579, 6417, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 506, 13919, 4889, 573, 506, 6387, 607, 94345, 5853, 756, 1220, 236771, 236771, 236771, 236771, 236771, 236771, 236825, 236789, 532, 506, 112077, 14175, 2487, 528, 506, 2590, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 13919, 4889, 573, 13154, 653, 112077, 5058, 15830, 528, 506, 2590, 236761, 1637, 611, 735, 2802, 531, 1288, 6436, 653, 740, 2847, 672, 1938, 5467, 236764, 564, 740, 1601, 30493, 653, 18840, 625, 573, 611, 236888, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 506, 13919, 4889, 573, 506, 6387, 607, 94345, 5853, 756, 1220, 236771, 236771, 236771, 236771, 236771, 236771, 236825, 236789, 532, 506, 112077, 14175, 2487, 528, 506, 2590, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 13919, 4889, 573, 13154, 653, 112077, 5058, 15830, 528, 506, 2590, 236761, 1637, 611, 735, 2802, 531, 1288, 6436, 653, 740, 2847, 672, 1938, 5467, 236764, 564, 740, 1601, 30493, 653, 18840, 625, 573, 611, 236888, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 8912, 496, 861, 3399, 1610, 11682, 1948, 600, 28619, 1041, 2765, 573, 72404, 1610, 532, 138082, 11682, 236761, 564, 1461, 531, 2619, 496, 2777, 4009, 1868, 531, 8729, 2142, 236764, 840, 564, 1202, 531, 1161, 506, 1447, 30154, 573, 5783, 5370, 528, 22080, 236761, 5715, 236789, 236751, 1144, 564, 1202, 1601, 607, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 30136, 2305, 531, 1586, 506, 1903, 236743, 236810, 4913, 30154, 4596, 531, 623, 661, 11682, 236775, 532, 623, 2750, 688, 11682, 236775, 528, 5422, 573, 22080, 236761, 236743, 236778, 236761, 1637, 1027, 529, 1724, 30154, 3204, 3755, 1133, 623, 236847, 16144, 2098, 623, 236797, 29953, 2098, 653, 623, 158320, 236775, 568, 25142, 564, 1461, 531, 27968, 1041, 23060, 779, 2426, 768, 1023, 6261, 236789, 236751, 77648, 573, 506, 6551, 1610, 3027, 568, 236810, 26119, 12536, 33833, 236814, 236778, 11767, 236800, 236828, 236828, 236810, 236778, 236832, 236768, 563, 89741, 236772, 6796, 236761, 236743, 236800, 236761, 13472, 236764, 1161, 1868, 236779, 22504, 236779, 10494, 531, 12262, 496, 3618, 600, 48110, 506, 1903, 30154, 532, 20756, 1800, 506, 1610, 532, 138082, 11682, 10217, 236761, 1637, 506, 77648, 2426, 3952, 1063, 3980, 236764, 1138, 496, 1757, 1003, 1023, 861, 6551, 4360, 32643, 2148, 2297, 236761, 3792, 786, 1281, 1056, 611, 236789, 500, 5508, 531, 1502, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 661, 11682, 6417, 827, 623, 2750, 688, 11682, 573, 9069, 2404, 827, 623, 158320, 26497, 1610, 11682, 827, 623, 46081, 236772, 85869, 1610, 11682, 827, 623, 23104, 1610, 11682, 6607, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11506, 236766, 676, 236779, 4818, 1083, 623, 19178, 827, 623, 10383, 1083, 623, 236810, 26119, 12536, 33833, 236814, 236778, 11767, 236800, 236828, 236828, 236810, 236778, 236832, 827, 623, 18624, 236779, 4256, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 38131, 236832, 236828, 236819, 236812, 236810, 236825, 236770, 236778, 236800, 827, 623, 4818, 1083, 623, 32071, 827, 623, 19099, 1083, 623, 33333, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 21254, 236761, 854, 236786, 3274, 236786, 236832, 236828, 236819, 236812, 236810, 236825, 236770, 236778, 236800, 827, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236778, 236812, 236810, 236764, 623, 158076, 1083, 236743, 236828, 236819, 236764, 623, 26329, 1083, 236743, 236800, 236778, 1807, 106, 107, 105, 4368, 107, 11069, 3399, 1610, 11682, 1948, 8912, 563, 1388, 580, 1061, 1595, 236888, 5715, 236789, 236751, 1144, 236789, 236751, 1010, 21699, 236787, 108, 236770, 236761, 5213, 59256, 6498, 66515, 7989, 1903, 22080, 236772, 18865, 30154, 2440, 623, 158320, 26497, 1610, 11682, 236775, 532, 623, 46081, 236772, 85869, 1610, 11682, 236775, 600, 8913, 607, 822, 23060, 532, 3019, 236761, 108, 236778, 236761, 5213, 88645, 7179, 66515, 13810, 8593, 822, 6551, 1610, 3027, 236789, 236751, 77648, 568, 236810, 26119, 12536, 33833, 236814, 236778, 11767, 236800, 236828, 236828, 236810, 236778, 236832, 236768, 815, 496, 3980, 89741, 3423, 753, 4011, 573, 20329, 822, 6551, 4360, 236761, 108, 236800, 236761, 5213, 30222, 11701, 6531, 66515, 31825, 496, 8221, 1868, 41671, 236787, 107, 139, 236772, 72404, 236786, 236797, 29953, 1610, 11682, 4820, 107, 139, 236772, 8084, 688, 11682, 6417, 107, 139, 236772, 18424, 4360, 16257, 20394, 107, 139, 236772, 22080, 236772, 41889, 118252, 1133, 997, 135151, 34703, 17617, 107, 139, 236772, 203926, 62325, 607, 496, 236743, 236778, 236812, 236810, 236772, 5282, 3188, 1502, 108, 818, 1868, 563, 3016, 31760, 41954, 607, 236743, 236778, 236812, 236810, 15975, 532, 236743, 236828, 236819, 12085, 236761, 21284, 611, 1133, 786, 531, 7020, 15154, 653, 3600, 1027, 1500, 236772, 1048, 3004, 531, 2016, 580, 672, 14700, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 8912, 496, 861, 3399, 1610, 11682, 1948, 600, 28619, 1041, 2765, 573, 72404, 1610, 532, 138082, 11682, 236761, 564, 1461, 531, 2619, 496, 2777, 4009, 1868, 531, 8729, 2142, 236764, 840, 564, 1202, 531, 1161, 506, 1447, 30154, 573, 5783, 5370, 528, 22080, 236761, 5715, 236789, 236751, 1144, 564, 1202, 1601, 607, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 30136, 2305, 531, 1586, 506, 1903, 236743, 236810, 4913, 30154, 4596, 531, 623, 661, 11682, 236775, 532, 623, 2750, 688, 11682, 236775, 528, 5422, 573, 22080, 236761, 236743, 236778, 236761, 1637, 1027, 529, 1724, 30154, 3204, 3755, 1133, 623, 236847, 16144, 2098, 623, 236797, 29953, 2098, 653, 623, 158320, 236775, 568, 25142, 564, 1461, 531, 27968, 1041, 23060, 779, 2426, 768, 1023, 6261, 236789, 236751, 77648, 573, 506, 6551, 1610, 3027, 568, 236810, 26119, 12536, 33833, 236814, 236778, 11767, 236800, 236828, 236828, 236810, 236778, 236832, 236768, 563, 89741, 236772, 6796, 236761, 236743, 236800, 236761, 13472, 236764, 1161, 1868, 236779, 22504, 236779, 10494, 531, 12262, 496, 3618, 600, 48110, 506, 1903, 30154, 532, 20756, 1800, 506, 1610, 532, 138082, 11682, 10217, 236761, 1637, 506, 77648, 2426, 3952, 1063, 3980, 236764, 1138, 496, 1757, 1003, 1023, 861, 6551, 4360, 32643, 2148, 2297, 236761, 3792, 786, 1281, 1056, 611, 236789, 500, 5508, 531, 1502, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 661, 11682, 6417, 827, 623, 2750, 688, 11682, 573, 9069, 2404, 827, 623, 158320, 26497, 1610, 11682, 827, 623, 46081, 236772, 85869, 1610, 11682, 827, 623, 23104, 1610, 11682, 6607, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11506, 236766, 676, 236779, 4818, 1083, 623, 19178, 827, 623, 10383, 1083, 623, 236810, 26119, 12536, 33833, 236814, 236778, 11767, 236800, 236828, 236828, 236810, 236778, 236832, 827, 623, 18624, 236779, 4256, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 38131, 236832, 236828, 236819, 236812, 236810, 236825, 236770, 236778, 236800, 827, 623, 4818, 1083, 623, 32071, 827, 623, 19099, 1083, 623, 33333, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 21254, 236761, 854, 236786, 3274, 236786, 236832, 236828, 236819, 236812, 236810, 236825, 236770, 236778, 236800, 827, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236778, 236812, 236810, 236764, 623, 158076, 1083, 236743, 236828, 236819, 236764, 623, 26329, 1083, 236743, 236800, 236778, 1807, 106, 107, 105, 4368, 107, 11069, 3399, 1610, 11682, 1948, 8912, 563, 1388, 580, 1061, 1595, 236888, 5715, 236789, 236751, 1144, 236789, 236751, 1010, 21699, 236787, 108, 236770, 236761, 5213, 59256, 6498, 66515, 7989, 1903, 22080, 236772, 18865, 30154, 2440, 623, 158320, 26497, 1610, 11682, 236775, 532, 623, 46081, 236772, 85869, 1610, 11682, 236775, 600, 8913, 607, 822, 23060, 532, 3019, 236761, 108, 236778, 236761, 5213, 88645, 7179, 66515, 13810, 8593, 822, 6551, 1610, 3027, 236789, 236751, 77648, 568, 236810, 26119, 12536, 33833, 236814, 236778, 11767, 236800, 236828, 236828, 236810, 236778, 236832, 236768, 815, 496, 3980, 89741, 3423, 753, 4011, 573, 20329, 822, 6551, 4360, 236761, 108, 236800, 236761, 5213, 30222, 11701, 6531, 66515, 31825, 496, 8221, 1868, 41671, 236787, 107, 139, 236772, 72404, 236786, 236797, 29953, 1610, 11682, 4820, 107, 139, 236772, 8084, 688, 11682, 6417, 107, 139, 236772, 18424, 4360, 16257, 20394, 107, 139, 236772, 22080, 236772, 41889, 118252, 1133, 997, 135151, 34703, 17617, 107, 139, 236772, 203926, 62325, 607, 496, 236743, 236778, 236812, 236810, 236772, 5282, 3188, 1502, 108, 818, 1868, 563, 3016, 31760, 41954, 607, 236743, 236778, 236812, 236810, 15975, 532, 236743, 236828, 236819, 12085, 236761, 21284, 611, 1133, 786, 531, 7020, 15154, 653, 3600, 1027, 1500, 236772, 1048, 3004, 531, 2016, 580, 672, 14700, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 238631, 21529, 236888, 564, 236789, 236757, 32187, 15078, 33832, 15067, 573, 496, 4430, 7467, 528, 16403, 3668, 9766, 236761, 28344, 611, 33205, 506, 6376, 6527, 573, 36828, 12480, 236764, 15689, 236764, 532, 113240, 1024, 506, 3068, 236743, 236770, 236771, 2668, 236881, 6542, 236764, 7352, 1724, 6527, 531, 23058, 573, 9960, 236761, 564, 14275, 6050, 32123, 3173, 6178, 15689, 30387, 532, 1028, 38961, 2665, 510, 14655, 6178, 29042, 236764, 834, 6611, 1239, 9766, 23948, 531, 26135, 50353, 6429, 21896, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 6137, 67013, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 13647, 1083, 623, 71494, 827, 623, 14356, 236779, 86060, 1083, 236743, 236770, 236771, 236764, 623, 27617, 1083, 623, 236799, 8407, 827, 623, 9707, 236779, 18308, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 9707, 236779, 7022, 1083, 236743, 236832, 236761, 236828, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 827, 623, 9707, 236779, 7022, 1083, 236743, 236832, 236761, 236819, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236771, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236771, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236770, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236778, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236832, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236812, 104960, 623, 23184, 1083, 623, 69966, 2754, 4398, 37871, 2979, 573, 21222, 12480, 16489, 528, 3262, 36828, 9766, 236761, 23058, 14274, 47713, 1343, 672, 5904, 1781, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236778, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236770, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236800, 236761, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236770, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236800, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236812, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236810, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236800, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236778, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236812, 236761, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236825, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236810, 236761, 236770, 104960, 623, 27617, 1083, 623, 236799, 8407, 827, 623, 205740, 1083, 623, 36487, 827, 623, 2289, 6516, 1083, 623, 5455, 236779, 236770, 236771, 236779, 14356, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 2084, 1083, 623, 28699, 236779, 236758, 22103, 827, 623, 27617, 1083, 623, 38556, 827, 623, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236828, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236812, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236825, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236810, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236832, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236825, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236828, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236832, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236819, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236828, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236825, 104960, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236819, 236828, 236764, 623, 13647, 1083, 623, 71494, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 3671, 529, 36828, 15078, 41156, 607, 23058, 63680, 236787, 108, 1018, 236770, 236761, 42949, 37341, 568, 20918, 29748, 62902, 107, 236772, 603, 8407, 27593, 236787, 59067, 699, 630, 236795, 236832, 236761, 236828, 236810, 531, 630, 236795, 236828, 236761, 236812, 236771, 236786, 7022, 1024, 236743, 236770, 236771, 2668, 107, 236772, 23058, 104726, 236787, 10352, 1873, 8770, 3136, 568, 17868, 236743, 236771, 236761, 236778, 236771, 1473, 107, 138, 236772, 20879, 236787, 609, 236770, 236761, 236810, 236832, 236786, 7022, 16130, 16187, 236787, 609, 236770, 236761, 236825, 236828, 236786, 7022, 107, 236772, 7918, 236787, 34883, 23058, 14274, 711, 2487, 1343, 12480, 3385, 5904, 108, 1018, 236778, 236761, 19862, 37341, 1018, 107, 236772, 603, 8407, 20214, 236787, 630, 236795, 236828, 236770, 236761, 236832, 236810, 531, 630, 236795, 236828, 236825, 236761, 236778, 236771, 810, 62502, 568, 236825, 236771, 7022, 236768, 107, 236772, 23058, 67292, 236787, 10352, 6376, 4398, 3136, 236787, 107, 138, 236772, 14533, 236787, 609, 236770, 236825, 236761, 236800, 236810, 236786, 136412, 16130, 4819, 236787, 609, 236770, 236832, 236761, 236778, 236812, 236786, 136412, 107, 236772, 19651, 25870, 32229, 236787, 2578, 236771, 236761, 236778, 236771, 603, 8407, 236786, 38556, 108, 1018, 236800, 236761, 15097, 4649, 688, 37341, 1018, 107, 236772, 5890, 23058, 67292, 18326, 236787, 107, 138, 236772, 37341, 45583, 699, 609, 236771, 236761, 236828, 236819, 531, 609, 236771, 236761, 236819, 236832, 236786, 7022, 107, 138, 236772, 34980, 236743, 236770, 236771, 236772, 1496, 4398, 236787, 609, 236771, 236761, 236819, 236800, 236786, 7022, 107, 236772, 67292, 25870, 29164, 236787, 236743, 236771, 236761, 236770, 236819, 236828, 568, 25541, 603, 8407, 236743, 236812, 236761, 236828, 236810, 16130, 23058, 236743, 236771, 236761, 236819, 236825, 236768, 108, 1018, 193804, 3734, 30510, 35211, 103057, 53121, 107, 236772, 19862, 568, 1708, 30387, 236768, 532, 29042, 568, 1708, 1028, 38961, 2665, 236768, 1407, 10385, 21212, 15067, 107, 236772, 42949, 3831, 39869, 3385, 3553, 568, 57362, 97450, 4204, 236768, 107, 236772, 2343, 41156, 1407, 655, 236810, 236908, 3385, 43866, 528, 506, 2846, 108, 38786, 611, 1133, 786, 531, 2847, 151289, 529, 1239, 15067, 653, 18840, 38317, 1534, 1239, 33832, 6527, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 238631, 21529, 236888, 564, 236789, 236757, 32187, 15078, 33832, 15067, 573, 496, 4430, 7467, 528, 16403, 3668, 9766, 236761, 28344, 611, 33205, 506, 6376, 6527, 573, 36828, 12480, 236764, 15689, 236764, 532, 113240, 1024, 506, 3068, 236743, 236770, 236771, 2668, 236881, 6542, 236764, 7352, 1724, 6527, 531, 23058, 573, 9960, 236761, 564, 14275, 6050, 32123, 3173, 6178, 15689, 30387, 532, 1028, 38961, 2665, 510, 14655, 6178, 29042, 236764, 834, 6611, 1239, 9766, 23948, 531, 26135, 50353, 6429, 21896, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 6137, 67013, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 13647, 1083, 623, 71494, 827, 623, 14356, 236779, 86060, 1083, 236743, 236770, 236771, 236764, 623, 27617, 1083, 623, 236799, 8407, 827, 623, 9707, 236779, 18308, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 9707, 236779, 7022, 1083, 236743, 236832, 236761, 236828, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 827, 623, 9707, 236779, 7022, 1083, 236743, 236832, 236761, 236819, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236771, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236771, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236770, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236778, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236832, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 827, 623, 9707, 236779, 7022, 1083, 236743, 236828, 236761, 236812, 104960, 623, 23184, 1083, 623, 69966, 2754, 4398, 37871, 2979, 573, 21222, 12480, 16489, 528, 3262, 36828, 9766, 236761, 23058, 14274, 47713, 1343, 672, 5904, 1781, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236778, 236761, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236770, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236800, 236761, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236770, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236800, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236812, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236810, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236800, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236778, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236812, 236761, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236825, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236828, 236810, 236761, 236770, 104960, 623, 27617, 1083, 623, 236799, 8407, 827, 623, 205740, 1083, 623, 36487, 827, 623, 2289, 6516, 1083, 623, 5455, 236779, 236770, 236771, 236779, 14356, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 2084, 1083, 623, 28699, 236779, 236758, 22103, 827, 623, 27617, 1083, 623, 38556, 827, 623, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236828, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236812, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236825, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236810, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236832, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236825, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236828, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236832, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236819, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 9707, 236779, 1457, 236752, 1083, 236743, 236812, 236761, 236828, 236810, 236764, 623, 9707, 236779, 149508, 1083, 236743, 236771, 236761, 236819, 236825, 104960, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236819, 236828, 236764, 623, 13647, 1083, 623, 71494, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 3671, 529, 36828, 15078, 41156, 607, 23058, 63680, 236787, 108, 1018, 236770, 236761, 42949, 37341, 568, 20918, 29748, 62902, 107, 236772, 603, 8407, 27593, 236787, 59067, 699, 630, 236795, 236832, 236761, 236828, 236810, 531, 630, 236795, 236828, 236761, 236812, 236771, 236786, 7022, 1024, 236743, 236770, 236771, 2668, 107, 236772, 23058, 104726, 236787, 10352, 1873, 8770, 3136, 568, 17868, 236743, 236771, 236761, 236778, 236771, 1473, 107, 138, 236772, 20879, 236787, 609, 236770, 236761, 236810, 236832, 236786, 7022, 16130, 16187, 236787, 609, 236770, 236761, 236825, 236828, 236786, 7022, 107, 236772, 7918, 236787, 34883, 23058, 14274, 711, 2487, 1343, 12480, 3385, 5904, 108, 1018, 236778, 236761, 19862, 37341, 1018, 107, 236772, 603, 8407, 20214, 236787, 630, 236795, 236828, 236770, 236761, 236832, 236810, 531, 630, 236795, 236828, 236825, 236761, 236778, 236771, 810, 62502, 568, 236825, 236771, 7022, 236768, 107, 236772, 23058, 67292, 236787, 10352, 6376, 4398, 3136, 236787, 107, 138, 236772, 14533, 236787, 609, 236770, 236825, 236761, 236800, 236810, 236786, 136412, 16130, 4819, 236787, 609, 236770, 236832, 236761, 236778, 236812, 236786, 136412, 107, 236772, 19651, 25870, 32229, 236787, 2578, 236771, 236761, 236778, 236771, 603, 8407, 236786, 38556, 108, 1018, 236800, 236761, 15097, 4649, 688, 37341, 1018, 107, 236772, 5890, 23058, 67292, 18326, 236787, 107, 138, 236772, 37341, 45583, 699, 609, 236771, 236761, 236828, 236819, 531, 609, 236771, 236761, 236819, 236832, 236786, 7022, 107, 138, 236772, 34980, 236743, 236770, 236771, 236772, 1496, 4398, 236787, 609, 236771, 236761, 236819, 236800, 236786, 7022, 107, 236772, 67292, 25870, 29164, 236787, 236743, 236771, 236761, 236770, 236819, 236828, 568, 25541, 603, 8407, 236743, 236812, 236761, 236828, 236810, 16130, 23058, 236743, 236771, 236761, 236819, 236825, 236768, 108, 1018, 193804, 3734, 30510, 35211, 103057, 53121, 107, 236772, 19862, 568, 1708, 30387, 236768, 532, 29042, 568, 1708, 1028, 38961, 2665, 236768, 1407, 10385, 21212, 15067, 107, 236772, 42949, 3831, 39869, 3385, 3553, 568, 57362, 97450, 4204, 236768, 107, 236772, 2343, 41156, 1407, 655, 236810, 236908, 3385, 43866, 528, 506, 2846, 108, 38786, 611, 1133, 786, 531, 2847, 151289, 529, 1239, 15067, 653, 18840, 38317, 1534, 1239, 33832, 6527, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 8935, 4284, 7946, 531, 3517, 13979, 5289, 10041, 14517, 528, 506, 4257, 236764, 6250, 699, 1041, 2033, 528, 21421, 17587, 236764, 23639, 236761, 5315, 236764, 2426, 506, 1873, 7606, 1590, 1699, 3207, 1463, 532, 1883, 3393, 236761, 4298, 236764, 564, 1202, 7606, 1262, 573, 1041, 2148, 1806, 20627, 236787, 236743, 236770, 236768, 192846, 236764, 13187, 568, 1930, 3207, 1463, 532, 1883, 3393, 779, 236743, 236778, 236768, 5307, 3862, 546, 128718, 236764, 16781, 568, 56220, 236787, 236743, 236800, 236819, 236761, 236812, 236810, 236800, 236825, 237366, 646, 236764, 236743, 236832, 236832, 236761, 236832, 236778, 236832, 236800, 237366, 649, 779, 532, 236743, 236800, 236768, 131174, 1810, 4025, 30231, 4556, 236764, 26493, 1699, 65911, 3393, 236743, 236800, 236828, 236800, 236832, 236825, 236761, 3153, 236764, 564, 15690, 506, 5307, 3862, 546, 15375, 2473, 3643, 1523, 531, 496, 56288, 12660, 2606, 528, 26726, 1271, 768, 600, 236789, 236751, 506, 1624, 236764, 1586, 506, 4338, 15375, 573, 506, 5396, 5307, 3862, 546, 128718, 1680, 26891, 236761, 3792, 786, 1281, 506, 7606, 573, 1546, 4563, 3622, 611, 236789, 560, 21891, 1027, 16422, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 55421, 17587, 827, 623, 3255, 1083, 623, 10032, 827, 623, 4002, 236779, 27495, 236779, 236760, 1083, 236743, 236828, 236778, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236810, 236764, 623, 19323, 236779, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 236764, 623, 219274, 236779, 31700, 236779, 9022, 236759, 1083, 236743, 236778, 236819, 236761, 236819, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 236823, 2920, 986, 9339, 827, 623, 3255, 1083, 623, 6597, 827, 623, 4002, 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, 219274, 236779, 31700, 1083, 623, 236770, 236771, 236770, 236800, 534, 11640, 827, 623, 19323, 1083, 623, 7783, 586, 35898, 827, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 32463, 1083, 623, 236770, 236771, 7635, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 41713, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 37673, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 3970, 1083, 623, 236800, 236828, 236800, 236832, 236825, 827, 623, 4002, 236779, 41907, 1083, 623, 7783, 586, 35898, 827, 623, 27495, 1083, 3714, 2394, 1083, 236743, 236832, 236778, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 1083, 3714, 2394, 1083, 236743, 236771, 236761, 236778, 236764, 623, 6805, 1083, 623, 40254, 23179, 623, 77269, 1083, 3714, 2394, 1083, 236743, 236825, 236810, 236764, 623, 6805, 1083, 22389, 23179, 623, 15879, 236779, 11243, 1083, 3714, 2394, 1083, 236743, 236828, 236764, 623, 6805, 1083, 623, 70367, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236825, 236828, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 19323, 1083, 623, 7783, 586, 130915, 827, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 56220, 236779, 87877, 1083, 2416, 236764, 623, 14210, 1083, 623, 58713, 1523, 531, 496, 4563, 3541, 34923, 975, 9339, 236764, 16781, 840, 1149, 1660, 28250, 573, 65189, 33417, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 1938, 573, 822, 9116, 607, 614, 2132, 5433, 1003, 5307, 3862, 546, 128718, 236787, 108, 236770, 236761, 5213, 55421, 17587, 236764, 23639, 568, 9435, 62902, 107, 139, 236772, 35267, 236787, 236743, 236828, 236778, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 107, 139, 236772, 37615, 236787, 236743, 236778, 236819, 236761, 236819, 236778, 528, 42936, 108, 236778, 236761, 5213, 236823, 2920, 986, 9339, 236764, 13187, 1018, 107, 139, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236771, 236908, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 107, 139, 236772, 145481, 236787, 236743, 236770, 236771, 7635, 108, 236800, 236761, 5213, 14054, 3862, 546, 128718, 236764, 16781, 568, 58713, 128731, 62902, 107, 139, 236772, 35267, 236787, 236743, 236825, 236828, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236778, 236908, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 107, 139, 236772, 236743, 195096, 5213, 10282, 66515, 119558, 568, 236800, 236819, 236761, 236812, 236810, 236800, 236825, 237366, 646, 236764, 236743, 236832, 236832, 236761, 236832, 236778, 236832, 236800, 237366, 649, 236768, 1523, 531, 496, 4563, 3541, 34923, 975, 9339, 600, 7087, 28250, 236761, 5978, 506, 7606, 1262, 563, 4341, 573, 672, 2870, 2433, 236764, 564, 5840, 3972, 236772, 73357, 17042, 13283, 573, 506, 4453, 65189, 16825, 15375, 236761, 108, 236812, 236761, 5213, 3138, 543, 1810, 4025, 30231, 4556, 236764, 26493, 568, 92824, 236743, 236800, 236828, 236800, 236832, 236825, 62902, 107, 139, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 139, 236772, 212775, 236787, 236743, 236771, 236761, 236778, 12371, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 108, 818, 7606, 3418, 822, 9116, 7412, 18790, 607, 22043, 35898, 3439, 657, 784, 11024, 236761, 1701, 5307, 3862, 546, 128718, 236764, 1966, 4071, 236772, 35380, 9908, 15375, 607, 5125, 126809, 13571, 653, 17042, 13283, 531, 5330, 611, 735, 506, 1346, 11459, 4563, 573, 822, 3517, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 8935, 4284, 7946, 531, 3517, 13979, 5289, 10041, 14517, 528, 506, 4257, 236764, 6250, 699, 1041, 2033, 528, 21421, 17587, 236764, 23639, 236761, 5315, 236764, 2426, 506, 1873, 7606, 1590, 1699, 3207, 1463, 532, 1883, 3393, 236761, 4298, 236764, 564, 1202, 7606, 1262, 573, 1041, 2148, 1806, 20627, 236787, 236743, 236770, 236768, 192846, 236764, 13187, 568, 1930, 3207, 1463, 532, 1883, 3393, 779, 236743, 236778, 236768, 5307, 3862, 546, 128718, 236764, 16781, 568, 56220, 236787, 236743, 236800, 236819, 236761, 236812, 236810, 236800, 236825, 237366, 646, 236764, 236743, 236832, 236832, 236761, 236832, 236778, 236832, 236800, 237366, 649, 779, 532, 236743, 236800, 236768, 131174, 1810, 4025, 30231, 4556, 236764, 26493, 1699, 65911, 3393, 236743, 236800, 236828, 236800, 236832, 236825, 236761, 3153, 236764, 564, 15690, 506, 5307, 3862, 546, 15375, 2473, 3643, 1523, 531, 496, 56288, 12660, 2606, 528, 26726, 1271, 768, 600, 236789, 236751, 506, 1624, 236764, 1586, 506, 4338, 15375, 573, 506, 5396, 5307, 3862, 546, 128718, 1680, 26891, 236761, 3792, 786, 1281, 506, 7606, 573, 1546, 4563, 3622, 611, 236789, 560, 21891, 1027, 16422, 4342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 55421, 17587, 827, 623, 3255, 1083, 623, 10032, 827, 623, 4002, 236779, 27495, 236779, 236760, 1083, 236743, 236828, 236778, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236810, 236764, 623, 19323, 236779, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 236764, 623, 219274, 236779, 31700, 236779, 9022, 236759, 1083, 236743, 236778, 236819, 236761, 236819, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 236823, 2920, 986, 9339, 827, 623, 3255, 1083, 623, 6597, 827, 623, 4002, 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, 219274, 236779, 31700, 1083, 623, 236770, 236771, 236770, 236800, 534, 11640, 827, 623, 19323, 1083, 623, 7783, 586, 35898, 827, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 32463, 1083, 623, 236770, 236771, 7635, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 41713, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 37673, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 3970, 1083, 623, 236800, 236828, 236800, 236832, 236825, 827, 623, 4002, 236779, 41907, 1083, 623, 7783, 586, 35898, 827, 623, 27495, 1083, 3714, 2394, 1083, 236743, 236832, 236778, 236764, 623, 6805, 1083, 623, 236811, 23179, 623, 44340, 1083, 3714, 2394, 1083, 236743, 236771, 236761, 236778, 236764, 623, 6805, 1083, 623, 40254, 23179, 623, 77269, 1083, 3714, 2394, 1083, 236743, 236825, 236810, 236764, 623, 6805, 1083, 22389, 23179, 623, 15879, 236779, 11243, 1083, 3714, 2394, 1083, 236743, 236828, 236764, 623, 6805, 1083, 623, 70367, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 236743, 236825, 236828, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 19323, 1083, 623, 7783, 586, 130915, 827, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 56220, 236779, 87877, 1083, 2416, 236764, 623, 14210, 1083, 623, 58713, 1523, 531, 496, 4563, 3541, 34923, 975, 9339, 236764, 16781, 840, 1149, 1660, 28250, 573, 65189, 33417, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 1938, 573, 822, 9116, 607, 614, 2132, 5433, 1003, 5307, 3862, 546, 128718, 236787, 108, 236770, 236761, 5213, 55421, 17587, 236764, 23639, 568, 9435, 62902, 107, 139, 236772, 35267, 236787, 236743, 236828, 236778, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 107, 139, 236772, 37615, 236787, 236743, 236778, 236819, 236761, 236819, 236778, 528, 42936, 108, 236778, 236761, 5213, 236823, 2920, 986, 9339, 236764, 13187, 1018, 107, 139, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236771, 236908, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 107, 139, 236772, 145481, 236787, 236743, 236770, 236771, 7635, 108, 236800, 236761, 5213, 14054, 3862, 546, 128718, 236764, 16781, 568, 58713, 128731, 62902, 107, 139, 236772, 35267, 236787, 236743, 236825, 236828, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236778, 236908, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 107, 139, 236772, 236743, 195096, 5213, 10282, 66515, 119558, 568, 236800, 236819, 236761, 236812, 236810, 236800, 236825, 237366, 646, 236764, 236743, 236832, 236832, 236761, 236832, 236778, 236832, 236800, 237366, 649, 236768, 1523, 531, 496, 4563, 3541, 34923, 975, 9339, 600, 7087, 28250, 236761, 5978, 506, 7606, 1262, 563, 4341, 573, 672, 2870, 2433, 236764, 564, 5840, 3972, 236772, 73357, 17042, 13283, 573, 506, 4453, 65189, 16825, 15375, 236761, 108, 236812, 236761, 5213, 3138, 543, 1810, 4025, 30231, 4556, 236764, 26493, 568, 92824, 236743, 236800, 236828, 236800, 236832, 236825, 62902, 107, 139, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 139, 236772, 32288, 236787, 216726, 130915, 107, 139, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 139, 236772, 212775, 236787, 236743, 236771, 236761, 236778, 12371, 107, 139, 236772, 18324, 236787, 236743, 236828, 44269, 108, 818, 7606, 3418, 822, 9116, 7412, 18790, 607, 22043, 35898, 3439, 657, 784, 11024, 236761, 1701, 5307, 3862, 546, 128718, 236764, 1966, 4071, 236772, 35380, 9908, 15375, 607, 5125, 126809, 13571, 653, 17042, 13283, 531, 5330, 611, 735, 506, 1346, 11459, 4563, 573, 822, 3517, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 614, 43189, 699, 76425, 42466, 585, 568, 27262, 236768, 531, 23058, 573, 496, 4430, 236764, 840, 564, 1461, 531, 10769, 8770, 6224, 531, 974, 506, 1791, 1550, 236761, 5315, 236764, 2426, 506, 1873, 8886, 236773, 531, 23058, 8770, 3136, 1699, 506, 808, 1928, 5287, 236779, 66818, 236779, 1928, 5287, 236829, 5904, 236761, 1637, 506, 623, 1215, 514, 13216, 236775, 3136, 563, 8792, 2480, 1082, 506, 623, 1340, 6926, 236775, 3136, 236764, 2148, 1161, 808, 236753, 7556, 236779, 66818, 236779, 236753, 7556, 236829, 531, 18840, 3530, 15285, 4458, 1133, 623, 236796, 236916, 3365, 9595, 1781, 13472, 236764, 1161, 808, 236753, 4395, 619, 236829, 531, 4071, 236772, 30449, 506, 6524, 6224, 532, 34759, 573, 1724, 15285, 4458, 531, 96820, 506, 14274, 236761, 3792, 786, 1281, 768, 672, 3590, 5113, 653, 768, 611, 1202, 30981, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1340, 6926, 1083, 236743, 236800, 236771, 236771, 236761, 236810, 236764, 623, 1215, 514, 13216, 1083, 236743, 236800, 236810, 236771, 236761, 236832, 236810, 236764, 623, 30430, 4848, 1083, 236743, 236800, 236778, 236771, 236761, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66818, 236779, 236753, 7556, 1083, 623, 9503, 827, 623, 236745, 6734, 236779, 1340, 6926, 1083, 236743, 236800, 236828, 236778, 236761, 236810, 236764, 623, 236745, 6734, 236779, 1215, 514, 4634, 1083, 236743, 236832, 236812, 236828, 236761, 236819, 236764, 623, 76665, 236779, 20055, 158614, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 1083, 236743, 236800, 236828, 236810, 236761, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 232119, 1083, 3714, 19330, 1083, 236743, 236800, 236828, 236812, 236761, 236832, 236810, 236764, 623, 891, 1083, 236743, 236800, 236828, 236825, 236761, 236778, 236810, 1263, 623, 6265, 1083, 623, 231962, 646, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 827, 623, 2084, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236760, 236800, 3365, 9595, 25938, 106, 107, 105, 4368, 107, 818, 3671, 529, 8770, 6224, 3831, 3629, 8798, 1534, 5125, 532, 10616, 2436, 6224, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236770, 236761, 5213, 27262, 531, 23058, 58041, 568, 1928, 5287, 236779, 66818, 236779, 1928, 5287, 1473, 1018, 107, 139, 236772, 125870, 236787, 236743, 236800, 236771, 236771, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 107, 139, 236772, 79687, 13216, 568, 16520, 1473, 236743, 236800, 236810, 236771, 236761, 236832, 236810, 8886, 236773, 236786, 38556, 107, 139, 236772, 8425, 4848, 236787, 236743, 236800, 236778, 236771, 236761, 236778, 236810, 8886, 236773, 236786, 38556, 108, 236778, 236761, 5213, 236796, 236916, 3365, 9595, 20303, 568, 236753, 7556, 236779, 66818, 236779, 236753, 7556, 1473, 1018, 107, 139, 236772, 34883, 9595, 236787, 236743, 236800, 236828, 236778, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 107, 139, 236772, 67969, 12726, 9595, 236787, 236743, 236832, 236812, 236828, 236761, 236819, 236771, 8886, 236773, 236786, 38556, 568, 129303, 43866, 8601, 236768, 108, 236800, 236761, 5213, 21048, 236772, 28906, 4895, 9595, 25870, 568, 236753, 4395, 619, 1473, 1018, 107, 139, 236772, 25870, 236787, 236743, 236800, 236828, 236810, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 568, 231962, 166150, 3738, 236768, 107, 139, 236772, 42716, 20214, 236787, 236743, 236800, 236828, 236812, 236761, 236832, 236810, 568, 19330, 236768, 753, 236743, 236800, 236828, 236825, 236761, 236778, 236810, 568, 891, 236768, 108, 1018, 211199, 53121, 107, 2542, 43189, 14274, 236764, 611, 735, 1156, 10231, 3835, 236787, 107, 236770, 236761, 5213, 68734, 21518, 53121, 6890, 236743, 236800, 236771, 236771, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 568, 45505, 840, 3718, 1550, 236768, 107, 236778, 236761, 5213, 16520, 12726, 53121, 79557, 606, 1699, 236743, 236800, 236828, 236812, 236761, 236832, 236810, 236772, 236800, 236828, 236810, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 2644, 568, 87596, 1550, 840, 13842, 10616, 2436, 12562, 236768, 108, 818, 236743, 236778, 236828, 236908, 4954, 1534, 5125, 532, 9595, 6224, 12205, 3629, 1550, 1451, 577, 16531, 684, 1699, 506, 10616, 2436, 236761, 3153, 236764, 672, 7087, 15318, 11231, 529, 236787, 107, 236772, 28553, 236786, 19648, 884, 14523, 607, 506, 4430, 107, 236772, 27239, 5052, 568, 52725, 2436, 13842, 8216, 36582, 236768, 107, 236772, 121722, 568, 14473, 4610, 11572, 236768, 108, 38786, 611, 1133, 786, 531, 9279, 506, 23058, 2886, 573, 822, 43189, 1699, 3477, 3136, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 614, 43189, 699, 76425, 42466, 585, 568, 27262, 236768, 531, 23058, 573, 496, 4430, 236764, 840, 564, 1461, 531, 10769, 8770, 6224, 531, 974, 506, 1791, 1550, 236761, 5315, 236764, 2426, 506, 1873, 8886, 236773, 531, 23058, 8770, 3136, 1699, 506, 808, 1928, 5287, 236779, 66818, 236779, 1928, 5287, 236829, 5904, 236761, 1637, 506, 623, 1215, 514, 13216, 236775, 3136, 563, 8792, 2480, 1082, 506, 623, 1340, 6926, 236775, 3136, 236764, 2148, 1161, 808, 236753, 7556, 236779, 66818, 236779, 236753, 7556, 236829, 531, 18840, 3530, 15285, 4458, 1133, 623, 236796, 236916, 3365, 9595, 1781, 13472, 236764, 1161, 808, 236753, 4395, 619, 236829, 531, 4071, 236772, 30449, 506, 6524, 6224, 532, 34759, 573, 1724, 15285, 4458, 531, 96820, 506, 14274, 236761, 3792, 786, 1281, 768, 672, 3590, 5113, 653, 768, 611, 1202, 30981, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1340, 6926, 1083, 236743, 236800, 236771, 236771, 236761, 236810, 236764, 623, 1215, 514, 13216, 1083, 236743, 236800, 236810, 236771, 236761, 236832, 236810, 236764, 623, 30430, 4848, 1083, 236743, 236800, 236778, 236771, 236761, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66818, 236779, 236753, 7556, 1083, 623, 9503, 827, 623, 236745, 6734, 236779, 1340, 6926, 1083, 236743, 236800, 236828, 236778, 236761, 236810, 236764, 623, 236745, 6734, 236779, 1215, 514, 4634, 1083, 236743, 236832, 236812, 236828, 236761, 236819, 236764, 623, 76665, 236779, 20055, 158614, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 1083, 236743, 236800, 236828, 236810, 236761, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 232119, 1083, 3714, 19330, 1083, 236743, 236800, 236828, 236812, 236761, 236832, 236810, 236764, 623, 891, 1083, 236743, 236800, 236828, 236825, 236761, 236778, 236810, 1263, 623, 6265, 1083, 623, 231962, 646, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 827, 623, 2084, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236760, 236800, 3365, 9595, 25938, 106, 107, 105, 4368, 107, 818, 3671, 529, 8770, 6224, 3831, 3629, 8798, 1534, 5125, 532, 10616, 2436, 6224, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236770, 236761, 5213, 27262, 531, 23058, 58041, 568, 1928, 5287, 236779, 66818, 236779, 1928, 5287, 1473, 1018, 107, 139, 236772, 125870, 236787, 236743, 236800, 236771, 236771, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 107, 139, 236772, 79687, 13216, 568, 16520, 1473, 236743, 236800, 236810, 236771, 236761, 236832, 236810, 8886, 236773, 236786, 38556, 107, 139, 236772, 8425, 4848, 236787, 236743, 236800, 236778, 236771, 236761, 236778, 236810, 8886, 236773, 236786, 38556, 108, 236778, 236761, 5213, 236796, 236916, 3365, 9595, 20303, 568, 236753, 7556, 236779, 66818, 236779, 236753, 7556, 1473, 1018, 107, 139, 236772, 34883, 9595, 236787, 236743, 236800, 236828, 236778, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 107, 139, 236772, 67969, 12726, 9595, 236787, 236743, 236832, 236812, 236828, 236761, 236819, 236771, 8886, 236773, 236786, 38556, 568, 129303, 43866, 8601, 236768, 108, 236800, 236761, 5213, 21048, 236772, 28906, 4895, 9595, 25870, 568, 236753, 4395, 619, 1473, 1018, 107, 139, 236772, 25870, 236787, 236743, 236800, 236828, 236810, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 568, 231962, 166150, 3738, 236768, 107, 139, 236772, 42716, 20214, 236787, 236743, 236800, 236828, 236812, 236761, 236832, 236810, 568, 19330, 236768, 753, 236743, 236800, 236828, 236825, 236761, 236778, 236810, 568, 891, 236768, 108, 1018, 211199, 53121, 107, 2542, 43189, 14274, 236764, 611, 735, 1156, 10231, 3835, 236787, 107, 236770, 236761, 5213, 68734, 21518, 53121, 6890, 236743, 236800, 236771, 236771, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 568, 45505, 840, 3718, 1550, 236768, 107, 236778, 236761, 5213, 16520, 12726, 53121, 79557, 606, 1699, 236743, 236800, 236828, 236812, 236761, 236832, 236810, 236772, 236800, 236828, 236810, 236761, 236810, 236771, 8886, 236773, 236786, 38556, 2644, 568, 87596, 1550, 840, 13842, 10616, 2436, 12562, 236768, 108, 818, 236743, 236778, 236828, 236908, 4954, 1534, 5125, 532, 9595, 6224, 12205, 3629, 1550, 1451, 577, 16531, 684, 1699, 506, 10616, 2436, 236761, 3153, 236764, 672, 7087, 15318, 11231, 529, 236787, 107, 236772, 28553, 236786, 19648, 884, 14523, 607, 506, 4430, 107, 236772, 27239, 5052, 568, 52725, 2436, 13842, 8216, 36582, 236768, 107, 236772, 121722, 568, 14473, 4610, 11572, 236768, 108, 38786, 611, 1133, 786, 531, 9279, 506, 23058, 2886, 573, 822, 43189, 1699, 3477, 3136, 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, 6995, 614, 11690, 18660, 5428, 573, 16922, 528, 50184, 1108, 236764, 23639, 236761, 28344, 611, 2426, 506, 19296, 3546, 573, 600, 4563, 834, 564, 740, 28136, 1041, 2434, 580, 3768, 6733, 236881, 564, 1461, 531, 1386, 2889, 692, 236789, 500, 7759, 607, 506, 1447, 5646, 8073, 1680, 692, 5524, 506, 4054, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 194485, 1108, 236764, 23639, 827, 623, 7926, 236779, 2662, 1083, 236743, 236832, 236764, 623, 7926, 236779, 80384, 1083, 623, 13238, 827, 623, 16602, 236779, 37716, 1083, 623, 166920, 4652, 529, 7342, 699, 128794, 3768, 10885, 827, 623, 89653, 236779, 85038, 847, 1083, 11058, 48706, 6674, 236772, 78369, 91346, 236743, 236800, 236771, 236862, 92332, 1418, 236743, 236778, 3885, 827, 623, 103664, 5777, 236772, 1457, 548, 1992, 43119, 532, 19296, 236772, 91844, 44230, 827, 623, 40574, 23791, 1913, 11519, 19296, 3885, 568, 236770, 236771, 8151, 753, 236743, 236812, 8711, 22730, 623, 10896, 135666, 653, 2198, 236772, 1048, 59346, 573, 4054, 236772, 2897, 6733, 827, 623, 14893, 63587, 17597, 1813, 19005, 531, 5001, 82123, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 19296, 3546, 1938, 573, 50184, 1108, 236764, 23639, 236787, 108, 1018, 27898, 13291, 53121, 236743, 236832, 568, 13238, 236768, 138, 107, 1018, 19924, 32180, 53121, 90434, 4652, 529, 7342, 699, 128794, 3768, 10885, 138, 108, 1018, 61569, 91330, 53121, 138, 107, 236772, 30839, 6674, 236772, 78369, 91346, 236743, 236800, 236771, 236862, 92332, 1418, 236743, 236778, 3885, 138, 107, 236772, 53580, 5777, 236772, 1457, 548, 1992, 43119, 532, 19296, 236772, 91844, 44230, 138, 107, 236772, 73063, 23791, 1913, 11519, 19296, 3885, 568, 236770, 236771, 8151, 753, 236743, 236812, 8711, 236768, 138, 107, 236772, 6890, 135666, 653, 2198, 236772, 1048, 59346, 573, 4054, 236772, 2897, 6733, 138, 107, 236772, 128527, 17597, 1813, 19005, 531, 5001, 82123, 138, 108, 2094, 1262, 563, 1873, 618, 529, 5142, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 2199, 2889, 531, 16885, 822, 2434, 531, 1500, 1239, 47989, 1913, 16922, 236789, 236751, 11690, 5428, 236888, 3792, 786, 1281, 768, 611, 1202, 4767, 7606, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 614, 11690, 18660, 5428, 573, 16922, 528, 50184, 1108, 236764, 23639, 236761, 28344, 611, 2426, 506, 19296, 3546, 573, 600, 4563, 834, 564, 740, 28136, 1041, 2434, 580, 3768, 6733, 236881, 564, 1461, 531, 1386, 2889, 692, 236789, 500, 7759, 607, 506, 1447, 5646, 8073, 1680, 692, 5524, 506, 4054, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 194485, 1108, 236764, 23639, 827, 623, 7926, 236779, 2662, 1083, 236743, 236832, 236764, 623, 7926, 236779, 80384, 1083, 623, 13238, 827, 623, 16602, 236779, 37716, 1083, 623, 166920, 4652, 529, 7342, 699, 128794, 3768, 10885, 827, 623, 89653, 236779, 85038, 847, 1083, 11058, 48706, 6674, 236772, 78369, 91346, 236743, 236800, 236771, 236862, 92332, 1418, 236743, 236778, 3885, 827, 623, 103664, 5777, 236772, 1457, 548, 1992, 43119, 532, 19296, 236772, 91844, 44230, 827, 623, 40574, 23791, 1913, 11519, 19296, 3885, 568, 236770, 236771, 8151, 753, 236743, 236812, 8711, 22730, 623, 10896, 135666, 653, 2198, 236772, 1048, 59346, 573, 4054, 236772, 2897, 6733, 827, 623, 14893, 63587, 17597, 1813, 19005, 531, 5001, 82123, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 19296, 3546, 1938, 573, 50184, 1108, 236764, 23639, 236787, 108, 1018, 27898, 13291, 53121, 236743, 236832, 568, 13238, 236768, 138, 107, 1018, 19924, 32180, 53121, 90434, 4652, 529, 7342, 699, 128794, 3768, 10885, 138, 108, 1018, 61569, 91330, 53121, 138, 107, 236772, 30839, 6674, 236772, 78369, 91346, 236743, 236800, 236771, 236862, 92332, 1418, 236743, 236778, 3885, 138, 107, 236772, 53580, 5777, 236772, 1457, 548, 1992, 43119, 532, 19296, 236772, 91844, 44230, 138, 107, 236772, 73063, 23791, 1913, 11519, 19296, 3885, 568, 236770, 236771, 8151, 753, 236743, 236812, 8711, 236768, 138, 107, 236772, 6890, 135666, 653, 2198, 236772, 1048, 59346, 573, 4054, 236772, 2897, 6733, 138, 107, 236772, 128527, 17597, 1813, 19005, 531, 5001, 82123, 138, 108, 2094, 1262, 563, 1873, 618, 529, 5142, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 2199, 2889, 531, 16885, 822, 2434, 531, 1500, 1239, 47989, 1913, 16922, 236789, 236751, 11690, 5428, 236888, 3792, 786, 1281, 768, 611, 1202, 4767, 7606, 4889, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 13726, 49115, 15067, 532, 16329, 8610, 15830, 573, 496, 3402, 1960, 23937, 236761, 5715, 236789, 236751, 506, 2731, 236787, 236743, 236770, 236761, 6890, 5213, 828, 236779, 29321, 236779, 147050, 28961, 236779, 12186, 2355, 236779, 12959, 1018, 607, 30136, 623, 199283, 49115, 36253, 236775, 531, 1586, 4803, 10308, 1003, 28597, 236772, 18865, 67949, 10154, 236761, 236743, 236778, 236761, 4934, 506, 4668, 2536, 236764, 8701, 236743, 236800, 4709, 30154, 4596, 531, 11910, 236772, 9003, 13726, 8403, 236761, 236743, 236800, 236761, 1701, 1546, 30136, 236764, 1161, 5213, 4256, 236779, 3017, 236779, 56905, 1018, 531, 1460, 768, 506, 8610, 1463, 568, 236744, 236761, 236759, 1126, 30136, 236761, 854, 236768, 563, 2487, 573, 3435, 1960, 41628, 236761, 1637, 1027, 5904, 20269, 568, 5282, 3978, 951, 4668, 2536, 779, 2056, 9302, 30154, 1133, 623, 21877, 3732, 67949, 236775, 653, 623, 129777, 511, 5565, 522, 15067, 1781, 3792, 786, 1281, 506, 1626, 8610, 15830, 2536, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 24948, 1083, 78493, 3250, 1083, 623, 233660, 50854, 36667, 32526, 26762, 63034, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31766, 12186, 2355, 236761, 854, 236786, 45737, 3999, 236786, 24417, 236772, 45737, 832, 236772, 236778, 236771, 236778, 236810, 23179, 3714, 3250, 1083, 623, 17390, 236772, 76652, 57939, 528, 48233, 166858, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31766, 12186, 2355, 236761, 854, 236786, 45737, 3999, 236786, 7632, 236772, 49708, 236772, 229770, 23179, 3714, 3250, 1083, 623, 46640, 36667, 54139, 12263, 72143, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31766, 12186, 2355, 236761, 854, 236786, 45737, 3999, 236786, 37939, 236772, 45737, 832, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 1847, 236764, 623, 19645, 1083, 623, 37202, 36667, 236761, 854, 827, 623, 4818, 1083, 623, 18700, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 2416, 236764, 623, 4375, 1083, 623, 818, 8610, 756, 7632, 236772, 49708, 8403, 236761, 854, 236789, 563, 711, 2487, 236761, 14066, 24277, 1133, 8009, 7317, 7919, 236764, 4945, 236764, 653, 1607, 25616, 10498, 623, 215582, 1083, 11058, 7632, 236772, 49708, 236772, 229770, 236761, 854, 827, 623, 7632, 236772, 49708, 236772, 229770, 236761, 2108, 827, 623, 7632, 236772, 49708, 236772, 95526, 236761, 854, 827, 623, 7632, 236772, 49708, 236772, 17470, 236761, 854, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 37939, 45737, 832, 236761, 854, 827, 623, 18700, 1083, 1847, 236764, 623, 50990, 236779, 8194, 1083, 3714, 236770, 236779, 3704, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 236786, 3704, 827, 623, 236810, 236779, 33658, 1083, 6610, 236810, 236819, 236761, 236819, 236810, 827, 623, 236770, 236771, 236779, 33658, 1083, 6610, 236819, 236819, 236761, 236819, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 8610, 15830, 2536, 2721, 580, 506, 13726, 49115, 15067, 2958, 236787, 108, 236770, 236761, 5213, 37202, 36667, 236761, 854, 1018, 138, 107, 139, 240732, 18326, 573, 15020, 138, 107, 139, 236769, 4663, 4676, 236787, 623, 233660, 50854, 36667, 32526, 26762, 63034, 1373, 108, 236778, 236761, 5213, 17390, 236772, 76652, 57939, 236761, 854, 1018, 138, 107, 139, 242523, 3790, 2487, 138, 107, 139, 132617, 24277, 236787, 138, 107, 139, 236772, 1813, 236772, 49708, 236772, 229770, 236761, 854, 138, 107, 139, 236772, 1813, 236772, 49708, 236772, 95526, 236761, 854, 138, 107, 139, 236772, 1813, 236772, 49708, 236772, 17470, 236761, 854, 138, 107, 139, 236769, 4663, 4676, 236787, 623, 17390, 236772, 76652, 57939, 528, 48233, 166858, 1373, 108, 236800, 236761, 5213, 46640, 36667, 236761, 854, 1018, 138, 107, 139, 240732, 18326, 657, 236787, 138, 107, 139, 236772, 609, 236770, 236778, 236761, 236819, 236819, 236786, 3704, 568, 236770, 236772, 3704, 1941, 236768, 138, 107, 139, 236772, 609, 236819, 236819, 236761, 236819, 236771, 573, 236743, 236770, 236771, 1518, 138, 107, 139, 236769, 4663, 4676, 236787, 623, 46640, 36667, 54139, 12263, 72143, 1373, 108, 38786, 611, 1133, 531, 11327, 8610, 15020, 3835, 573, 1027, 529, 1239, 236764, 653, 59638, 506, 30136, 6799, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 13726, 49115, 15067, 532, 16329, 8610, 15830, 573, 496, 3402, 1960, 23937, 236761, 5715, 236789, 236751, 506, 2731, 236787, 236743, 236770, 236761, 6890, 5213, 828, 236779, 29321, 236779, 147050, 28961, 236779, 12186, 2355, 236779, 12959, 1018, 607, 30136, 623, 199283, 49115, 36253, 236775, 531, 1586, 4803, 10308, 1003, 28597, 236772, 18865, 67949, 10154, 236761, 236743, 236778, 236761, 4934, 506, 4668, 2536, 236764, 8701, 236743, 236800, 4709, 30154, 4596, 531, 11910, 236772, 9003, 13726, 8403, 236761, 236743, 236800, 236761, 1701, 1546, 30136, 236764, 1161, 5213, 4256, 236779, 3017, 236779, 56905, 1018, 531, 1460, 768, 506, 8610, 1463, 568, 236744, 236761, 236759, 1126, 30136, 236761, 854, 236768, 563, 2487, 573, 3435, 1960, 41628, 236761, 1637, 1027, 5904, 20269, 568, 5282, 3978, 951, 4668, 2536, 779, 2056, 9302, 30154, 1133, 623, 21877, 3732, 67949, 236775, 653, 623, 129777, 511, 5565, 522, 15067, 1781, 3792, 786, 1281, 506, 1626, 8610, 15830, 2536, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 24948, 1083, 78493, 3250, 1083, 623, 233660, 50854, 36667, 32526, 26762, 63034, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31766, 12186, 2355, 236761, 854, 236786, 45737, 3999, 236786, 24417, 236772, 45737, 832, 236772, 236778, 236771, 236778, 236810, 23179, 3714, 3250, 1083, 623, 17390, 236772, 76652, 57939, 528, 48233, 166858, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31766, 12186, 2355, 236761, 854, 236786, 45737, 3999, 236786, 7632, 236772, 49708, 236772, 229770, 23179, 3714, 3250, 1083, 623, 46640, 36667, 54139, 12263, 72143, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31766, 12186, 2355, 236761, 854, 236786, 45737, 3999, 236786, 37939, 236772, 45737, 832, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 1847, 236764, 623, 19645, 1083, 623, 37202, 36667, 236761, 854, 827, 623, 4818, 1083, 623, 18700, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 2416, 236764, 623, 4375, 1083, 623, 818, 8610, 756, 7632, 236772, 49708, 8403, 236761, 854, 236789, 563, 711, 2487, 236761, 14066, 24277, 1133, 8009, 7317, 7919, 236764, 4945, 236764, 653, 1607, 25616, 10498, 623, 215582, 1083, 11058, 7632, 236772, 49708, 236772, 229770, 236761, 854, 827, 623, 7632, 236772, 49708, 236772, 229770, 236761, 2108, 827, 623, 7632, 236772, 49708, 236772, 95526, 236761, 854, 827, 623, 7632, 236772, 49708, 236772, 17470, 236761, 854, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 37939, 45737, 832, 236761, 854, 827, 623, 18700, 1083, 1847, 236764, 623, 50990, 236779, 8194, 1083, 3714, 236770, 236779, 3704, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 236786, 3704, 827, 623, 236810, 236779, 33658, 1083, 6610, 236810, 236819, 236761, 236819, 236810, 827, 623, 236770, 236771, 236779, 33658, 1083, 6610, 236819, 236819, 236761, 236819, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 8610, 15830, 2536, 2721, 580, 506, 13726, 49115, 15067, 2958, 236787, 108, 236770, 236761, 5213, 37202, 36667, 236761, 854, 1018, 138, 107, 139, 240732, 18326, 573, 15020, 138, 107, 139, 236769, 4663, 4676, 236787, 623, 233660, 50854, 36667, 32526, 26762, 63034, 1373, 108, 236778, 236761, 5213, 17390, 236772, 76652, 57939, 236761, 854, 1018, 138, 107, 139, 242523, 3790, 2487, 138, 107, 139, 132617, 24277, 236787, 138, 107, 139, 236772, 1813, 236772, 49708, 236772, 229770, 236761, 854, 138, 107, 139, 236772, 1813, 236772, 49708, 236772, 95526, 236761, 854, 138, 107, 139, 236772, 1813, 236772, 49708, 236772, 17470, 236761, 854, 138, 107, 139, 236769, 4663, 4676, 236787, 623, 17390, 236772, 76652, 57939, 528, 48233, 166858, 1373, 108, 236800, 236761, 5213, 46640, 36667, 236761, 854, 1018, 138, 107, 139, 240732, 18326, 657, 236787, 138, 107, 139, 236772, 609, 236770, 236778, 236761, 236819, 236819, 236786, 3704, 568, 236770, 236772, 3704, 1941, 236768, 138, 107, 139, 236772, 609, 236819, 236819, 236761, 236819, 236771, 573, 236743, 236770, 236771, 1518, 138, 107, 139, 236769, 4663, 4676, 236787, 623, 46640, 36667, 54139, 12263, 72143, 1373, 108, 38786, 611, 1133, 531, 11327, 8610, 15020, 3835, 573, 1027, 529, 1239, 236764, 653, 59638, 506, 30136, 6799, 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, 4030, 1041, 222549, 580, 496, 12406, 11881, 672, 9735, 532, 1461, 531, 2426, 855, 506, 8036, 47179, 23855, 3541, 7123, 2375, 40995, 236761, 3199, 611, 974, 786, 506, 2587, 4889, 1271, 14644, 236764, 3861, 236764, 31087, 236764, 532, 3363, 625, 236789, 236751, 59842, 653, 25301, 236881, 95117, 886, 529, 506, 2263, 140698, 4928, 625, 657, 26100, 5428, 14074, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 144938, 236779, 1201, 1083, 623, 27930, 47179, 23855, 827, 623, 69518, 1083, 623, 42960, 827, 623, 3119, 236779, 100403, 1083, 236743, 236812, 236761, 236778, 236764, 623, 36593, 236779, 2084, 1083, 623, 236791, 10758, 827, 623, 22860, 1236, 1083, 11058, 14151, 10868, 827, 623, 59153, 827, 623, 44746, 10023, 53712, 14255, 623, 60993, 236779, 36217, 1083, 11058, 71878, 603, 16144, 827, 623, 96413, 827, 623, 57310, 90780, 14255, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 14210, 1083, 623, 117676, 1262, 753, 16807, 1873, 3439, 607, 2263, 4467, 11787, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 3677, 236779, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 8036, 47179, 23855, 3541, 7123, 2375, 40995, 815, 506, 2269, 4889, 573, 822, 12406, 11881, 607, 506, 222549, 236787, 108, 236772, 5213, 98641, 66515, 21437, 138, 107, 236772, 5213, 8615, 66515, 236743, 236812, 236761, 236778, 7635, 138, 107, 236772, 5213, 34727, 9250, 66515, 593, 10758, 568, 63914, 573, 15189, 71124, 236768, 138, 107, 236772, 5213, 200017, 66515, 10973, 10868, 236764, 12660, 236764, 532, 40052, 4106, 2487, 138, 108, 1018, 10282, 66515, 1174, 1938, 563, 699, 236743, 236778, 236771, 236770, 236819, 568, 102431, 1262, 779, 834, 564, 5840, 49378, 1873, 3439, 607, 2263, 4467, 11787, 1680, 822, 7946, 236761, 669, 13234, 5862, 10565, 71124, 236764, 9378, 236764, 532, 8001, 103994, 236764, 834, 625, 1374, 577, 496, 1822, 2523, 72099, 236888, 236743, 251261, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 8283, 236764, 840, 2338, 625, 236789, 236751, 699, 236743, 236778, 236771, 236770, 236819, 236764, 1451, 611, 2426, 506, 5213, 4002, 3439, 1018, 573, 506, 8036, 47179, 23855, 1699, 506, 1346, 872, 236772, 1071, 236772, 1896, 5904, 2487, 236881, 564, 1461, 531, 1386, 2889, 993, 10050, 236858, 236745, 1027, 53041, 1133, 64233, 653, 9626, 4342, 1680, 4030, 506, 222549, 236761, 6542, 236764, 1677, 506, 13234, 3371, 531, 1027, 1032, 16412, 14942, 236881, 2195, 236858, 560, 2506, 2778, 531, 8141, 9332, 236743, 251261, 245367, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 16807, 1873, 3439, 532, 13234, 13792, 236764, 840, 564, 1202, 531, 37386, 496, 2321, 16305, 236787, 108, 236770, 236761, 5213, 8782, 32288, 66515, 669, 22327, 5904, 1186, 4728, 11858, 1262, 568, 5455, 10448, 236743, 236778, 236771, 236770, 236819, 769, 1701, 1759, 236772, 2289, 12496, 236764, 564, 1093, 1202, 531, 1161, 506, 2165, 32974, 236779, 144938, 236779, 3906, 236929, 1292, 607, 496, 3530, 13234, 5853, 236761, 3153, 236764, 672, 5853, 7289, 236789, 236745, 5012, 528, 506, 3527, 3072, 236761, 108, 236778, 236761, 5213, 91270, 92988, 66515, 2282, 2426, 573, 6638, 16412, 236764, 564, 236789, 236753, 1202, 531, 1161, 2165, 144938, 236779, 3275, 236779, 2234, 236929, 607, 506, 13234, 236789, 236751, 5853, 236764, 837, 692, 1537, 236789, 236745, 735, 2802, 531, 699, 506, 22327, 1262, 236761, 108, 1018, 211199, 66515, 13948, 506, 870, 143872, 36683, 5796, 36962, 5570, 5457, 2574, 1411, 2769, 236761, 89237, 36683, 2861, 57702, 236761, 12561, 236786, 220118, 236768, 5467, 531, 236787, 107, 236772, 64063, 1873, 13234, 3439, 236786, 4818, 107, 236772, 29020, 1003, 13792, 531, 14942, 22249, 1133, 506, 14105, 3245, 84188, 180090, 653, 1700, 2108, 16678, 7940, 3245, 4556, 22249, 108, 117676, 1262, 12205, 625, 236789, 236751, 496, 61861, 59842, 7350, 236764, 840, 2263, 11787, 795, 735, 506, 1346, 11459, 1938, 1003, 4803, 3731, 653, 13792, 236761, 21284, 611, 1133, 1601, 66582, 496, 3823, 4553, 531, 506, 4467, 2509, 236881, 236743, 251184, 106, 107, 105, 2364, 107, 49190, 236764, 1531, 786, 12262, 496, 3823, 3618, 573, 611, 236888, 5715, 236789, 236751, 496, 5498, 4553, 611, 740, 5039, 531, 506, 80948, 5796, 36962, 5570, 236787, 5213, 21288, 53121, 8036, 47179, 23855, 32288, 833, 129935, 87101, 46311, 80948, 5796, 36962, 10765, 236764, 564, 236858, 236757, 6995, 496, 2523, 12406, 11881, 607, 1041, 222549, 672, 9735, 532, 5048, 531, 9128, 506, 1873, 4981, 529, 506, 8036, 47179, 23855, 528, 7123, 2375, 40995, 236761, 28344, 611, 5091, 4024, 236787, 236743, 236770, 236761, 7129, 4803, 12496, 580, 13234, 3439, 568, 236744, 236761, 236759, 1126, 64233, 236764, 9626, 20625, 236743, 236778, 236761, 16019, 625, 32407, 531, 18191, 22249, 1133, 506, 14105, 3245, 84188, 180090, 653, 1700, 2108, 16678, 7940, 22249, 236881, 1191, 236858, 500, 18430, 531, 12975, 1023, 11881, 768, 2653, 236888, 11017, 573, 822, 1601, 236764, 532, 564, 1385, 4448, 531, 822, 3072, 236761, 8890, 23574, 236764, 14142, 870, 11069, 11662, 7343, 236842, 7123, 2375, 40995, 71108, 9190, 21284, 611, 1133, 786, 531, 100257, 672, 653, 1138, 1027, 3530, 4889, 236881, 236743, 251184, 106, 107, 105, 4368, 107, 11069, 12262, 5724, 1822, 236888, 1030, 236789, 236751, 3582, 236764, 54651, 236764, 532, 13526, 1800, 2307, 4137, 1003, 3439, 532, 27347, 236761, 564, 236858, 859, 1164, 1138, 886, 29110, 100257, 531, 37837, 506, 222549, 236858, 19063, 7275, 236764, 528, 1624, 993, 659, 2523, 236772, 18865, 13792, 653, 15136, 236787, 108, 1018, 132617, 27162, 66515, 138, 107, 71510, 1882, 236858, 500, 18430, 531, 12975, 1023, 11881, 768, 2653, 236764, 834, 1027, 15136, 573, 6638, 22249, 653, 30692, 9273, 573, 496, 9726, 236772, 676, 2299, 1093, 577, 4285, 22572, 9332, 236829, 138, 108, 2094, 6495, 61842, 8633, 2473, 13491, 506, 24682, 2434, 531, 8357, 2523, 236772, 18865, 16266, 653, 12496, 901, 236858, 236753, 7394, 4928, 236761, 27587, 236764, 506, 4553, 563, 5508, 531, 5039, 236888, 236743, 251184, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 6253, 15737, 653, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4030, 1041, 222549, 580, 496, 12406, 11881, 672, 9735, 532, 1461, 531, 2426, 855, 506, 8036, 47179, 23855, 3541, 7123, 2375, 40995, 236761, 3199, 611, 974, 786, 506, 2587, 4889, 1271, 14644, 236764, 3861, 236764, 31087, 236764, 532, 3363, 625, 236789, 236751, 59842, 653, 25301, 236881, 95117, 886, 529, 506, 2263, 140698, 4928, 625, 657, 26100, 5428, 14074, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 144938, 236779, 1201, 1083, 623, 27930, 47179, 23855, 827, 623, 69518, 1083, 623, 42960, 827, 623, 3119, 236779, 100403, 1083, 236743, 236812, 236761, 236778, 236764, 623, 36593, 236779, 2084, 1083, 623, 236791, 10758, 827, 623, 22860, 1236, 1083, 11058, 14151, 10868, 827, 623, 59153, 827, 623, 44746, 10023, 53712, 14255, 623, 60993, 236779, 36217, 1083, 11058, 71878, 603, 16144, 827, 623, 96413, 827, 623, 57310, 90780, 14255, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 14210, 1083, 623, 117676, 1262, 753, 16807, 1873, 3439, 607, 2263, 4467, 11787, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 3677, 236779, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 8036, 47179, 23855, 3541, 7123, 2375, 40995, 815, 506, 2269, 4889, 573, 822, 12406, 11881, 607, 506, 222549, 236787, 108, 236772, 5213, 98641, 66515, 21437, 138, 107, 236772, 5213, 8615, 66515, 236743, 236812, 236761, 236778, 7635, 138, 107, 236772, 5213, 34727, 9250, 66515, 593, 10758, 568, 63914, 573, 15189, 71124, 236768, 138, 107, 236772, 5213, 200017, 66515, 10973, 10868, 236764, 12660, 236764, 532, 40052, 4106, 2487, 138, 108, 1018, 10282, 66515, 1174, 1938, 563, 699, 236743, 236778, 236771, 236770, 236819, 568, 102431, 1262, 779, 834, 564, 5840, 49378, 1873, 3439, 607, 2263, 4467, 11787, 1680, 822, 7946, 236761, 669, 13234, 5862, 10565, 71124, 236764, 9378, 236764, 532, 8001, 103994, 236764, 834, 625, 1374, 577, 496, 1822, 2523, 72099, 236888, 236743, 251261, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 8283, 236764, 840, 2338, 625, 236789, 236751, 699, 236743, 236778, 236771, 236770, 236819, 236764, 1451, 611, 2426, 506, 5213, 4002, 3439, 1018, 573, 506, 8036, 47179, 23855, 1699, 506, 1346, 872, 236772, 1071, 236772, 1896, 5904, 2487, 236881, 564, 1461, 531, 1386, 2889, 993, 10050, 236858, 236745, 1027, 53041, 1133, 64233, 653, 9626, 4342, 1680, 4030, 506, 222549, 236761, 6542, 236764, 1677, 506, 13234, 3371, 531, 1027, 1032, 16412, 14942, 236881, 2195, 236858, 560, 2506, 2778, 531, 8141, 9332, 236743, 251261, 245367, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 16807, 1873, 3439, 532, 13234, 13792, 236764, 840, 564, 1202, 531, 37386, 496, 2321, 16305, 236787, 108, 236770, 236761, 5213, 8782, 32288, 66515, 669, 22327, 5904, 1186, 4728, 11858, 1262, 568, 5455, 10448, 236743, 236778, 236771, 236770, 236819, 769, 1701, 1759, 236772, 2289, 12496, 236764, 564, 1093, 1202, 531, 1161, 506, 2165, 32974, 236779, 144938, 236779, 3906, 236929, 1292, 607, 496, 3530, 13234, 5853, 236761, 3153, 236764, 672, 5853, 7289, 236789, 236745, 5012, 528, 506, 3527, 3072, 236761, 108, 236778, 236761, 5213, 91270, 92988, 66515, 2282, 2426, 573, 6638, 16412, 236764, 564, 236789, 236753, 1202, 531, 1161, 2165, 144938, 236779, 3275, 236779, 2234, 236929, 607, 506, 13234, 236789, 236751, 5853, 236764, 837, 692, 1537, 236789, 236745, 735, 2802, 531, 699, 506, 22327, 1262, 236761, 108, 1018, 211199, 66515, 13948, 506, 870, 143872, 36683, 5796, 36962, 5570, 5457, 2574, 1411, 2769, 236761, 89237, 36683, 2861, 57702, 236761, 12561, 236786, 220118, 236768, 5467, 531, 236787, 107, 236772, 64063, 1873, 13234, 3439, 236786, 4818, 107, 236772, 29020, 1003, 13792, 531, 14942, 22249, 1133, 506, 14105, 3245, 84188, 180090, 653, 1700, 2108, 16678, 7940, 3245, 4556, 22249, 108, 117676, 1262, 12205, 625, 236789, 236751, 496, 61861, 59842, 7350, 236764, 840, 2263, 11787, 795, 735, 506, 1346, 11459, 1938, 1003, 4803, 3731, 653, 13792, 236761, 21284, 611, 1133, 1601, 66582, 496, 3823, 4553, 531, 506, 4467, 2509, 236881, 236743, 251184, 106, 107, 105, 2364, 107, 49190, 236764, 1531, 786, 12262, 496, 3823, 3618, 573, 611, 236888, 5715, 236789, 236751, 496, 5498, 4553, 611, 740, 5039, 531, 506, 80948, 5796, 36962, 5570, 236787, 5213, 21288, 53121, 8036, 47179, 23855, 32288, 833, 129935, 87101, 46311, 80948, 5796, 36962, 10765, 236764, 564, 236858, 236757, 6995, 496, 2523, 12406, 11881, 607, 1041, 222549, 672, 9735, 532, 5048, 531, 9128, 506, 1873, 4981, 529, 506, 8036, 47179, 23855, 528, 7123, 2375, 40995, 236761, 28344, 611, 5091, 4024, 236787, 236743, 236770, 236761, 7129, 4803, 12496, 580, 13234, 3439, 568, 236744, 236761, 236759, 1126, 64233, 236764, 9626, 20625, 236743, 236778, 236761, 16019, 625, 32407, 531, 18191, 22249, 1133, 506, 14105, 3245, 84188, 180090, 653, 1700, 2108, 16678, 7940, 22249, 236881, 1191, 236858, 500, 18430, 531, 12975, 1023, 11881, 768, 2653, 236888, 11017, 573, 822, 1601, 236764, 532, 564, 1385, 4448, 531, 822, 3072, 236761, 8890, 23574, 236764, 14142, 870, 11069, 11662, 7343, 236842, 7123, 2375, 40995, 71108, 9190, 21284, 611, 1133, 786, 531, 100257, 672, 653, 1138, 1027, 3530, 4889, 236881, 236743, 251184, 106, 107, 105, 4368, 107, 11069, 12262, 5724, 1822, 236888, 1030, 236789, 236751, 3582, 236764, 54651, 236764, 532, 13526, 1800, 2307, 4137, 1003, 3439, 532, 27347, 236761, 564, 236858, 859, 1164, 1138, 886, 29110, 100257, 531, 37837, 506, 222549, 236858, 19063, 7275, 236764, 528, 1624, 993, 659, 2523, 236772, 18865, 13792, 653, 15136, 236787, 108, 1018, 132617, 27162, 66515, 138, 107, 71510, 1882, 236858, 500, 18430, 531, 12975, 1023, 11881, 768, 2653, 236764, 834, 1027, 15136, 573, 6638, 22249, 653, 30692, 9273, 573, 496, 9726, 236772, 676, 2299, 1093, 577, 4285, 22572, 9332, 236829, 138, 108, 2094, 6495, 61842, 8633, 2473, 13491, 506, 24682, 2434, 531, 8357, 2523, 236772, 18865, 16266, 653, 12496, 901, 236858, 236753, 7394, 4928, 236761, 27587, 236764, 506, 4553, 563, 5508, 531, 5039, 236888, 236743, 251184, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 6253, 15737, 653, 4889, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 236743, 236825, 236772, 97772, 107460, 5111, 68706, 1208, 609, 236810, 236771, 607, 657, 3198, 496, 236743, 236812, 236761, 236810, 236772, 7991, 14470, 573, 3043, 1041, 9639, 12480, 532, 112354, 236761, 9187, 684, 19460, 9593, 573, 623, 236825, 16999, 107460, 5111, 68706, 827, 1299, 2426, 506, 1903, 1806, 2536, 236789, 4889, 236761, 1637, 1027, 659, 855, 529, 7715, 653, 14470, 236764, 59638, 506, 3927, 607, 623, 51128, 236743, 236825, 16999, 5111, 68706, 236775, 532, 15229, 236761, 44906, 6527, 236764, 15830, 236764, 532, 10595, 531, 5840, 506, 1791, 5086, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 547, 1083, 623, 1936, 236953, 236779, 236825, 44359, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 827, 623, 17870, 1083, 78493, 3250, 1083, 623, 236780, 15995, 236772, 33071, 236743, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14232, 54215, 236764, 76247, 20012, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236770, 236812, 236828, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236832, 236773, 236770, 236778, 236953, 11002, 236778, 23179, 3714, 3250, 1083, 623, 85568, 11877, 236743, 236825, 64585, 81467, 742, 31641, 9940, 497, 607, 14297, 75749, 118619, 827, 623, 9707, 1083, 236743, 236812, 236778, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 66850, 1083, 236743, 236832, 236819, 236778, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236771, 91257, 236935, 201587, 236825, 236792, 23179, 3714, 3250, 1083, 623, 16905, 30409, 107330, 236743, 236825, 26746, 14232, 31641, 9940, 497, 827, 623, 9707, 1083, 236743, 236800, 236810, 236761, 236771, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 66850, 1083, 236743, 236800, 236770, 236771, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236810, 16877, 236953, 236800, 236935, 25938, 1604, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 3927, 2536, 236764, 564, 1765, 1156, 3835, 600, 2874, 822, 13138, 236787, 108, 236770, 236761, 5213, 236780, 15995, 236772, 33071, 236743, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 568, 161617, 609, 236810, 236771, 236768, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 8197, 568, 236770, 236764, 236812, 236828, 236810, 10595, 236768, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 139, 236772, 5213, 63449, 66515, 4819, 14470, 236764, 26576, 5500, 236764, 19860, 8103, 1702, 236761, 138, 108, 236778, 236761, 5213, 85568, 11877, 236743, 236825, 64585, 81467, 742, 31641, 9940, 497, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236812, 236778, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 8197, 568, 236832, 236819, 236778, 10595, 236768, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 139, 236772, 5213, 63449, 66515, 29125, 236772, 18865, 236764, 6282, 236772, 165194, 4926, 236761, 138, 108, 818, 4168, 1354, 691, 26558, 2779, 531, 1061, 236743, 236812, 236761, 236778, 236772, 7991, 14470, 568, 60096, 822, 236743, 236812, 236761, 236810, 7081, 769, 138, 108, 1018, 211199, 66515, 669, 5213, 236780, 15995, 236772, 33071, 1018, 563, 506, 1791, 5313, 573, 21016, 532, 3736, 236764, 4285, 573, 496, 13415, 1133, 12480, 532, 112354, 1298, 9958, 14049, 11949, 236761, 5978, 625, 236858, 236751, 657, 822, 609, 236810, 236771, 4576, 236764, 1061, 3715, 14470, 532, 39601, 11708, 506, 6828, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 4889, 573, 2264, 1698, 236881, 106, 107, 105, 2364, 107, 3048, 236789, 500, 1447, 531, 2934, 506, 609, 236810, 236771, 4576, 753, 564, 1374, 236789, 560, 1010, 107479, 236888, 3792, 236789, 236751, 59638, 506, 3927, 531, 33207, 7121, 609, 236810, 236771, 4852, 236761, 12808, 9593, 1570, 573, 623, 236825, 16999, 107460, 5111, 68706, 1208, 609, 236810, 236771, 236775, 607, 496, 3385, 5957, 529, 609, 236771, 23278, 236812, 236819, 236761, 236819, 236819, 236764, 1299, 2426, 506, 1903, 1806, 2536, 236789, 4889, 236761, 1637, 1027, 2874, 506, 236743, 236812, 236761, 236810, 236862, 4381, 14470, 532, 15830, 236764, 5840, 506, 1791, 236761, 1637, 711, 236764, 2056, 623, 232320, 236743, 236825, 16999, 5111, 68706, 236775, 607, 506, 1638, 18774, 236761, 564, 1461, 531, 5330, 1041, 12480, 532, 112354, 974, 506, 4011, 85460, 2180, 15512, 506, 4856, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14232, 54215, 236764, 236743, 236812, 236761, 236832, 30155, 827, 623, 9707, 1083, 6610, 236812, 236810, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 547, 1083, 623, 236776, 236770, 236778, 236800, 236812, 236810, 23179, 3714, 3250, 1083, 623, 147716, 85809, 236743, 236825, 25443, 81467, 742, 31641, 9940, 497, 236764, 236743, 236812, 236761, 236800, 30155, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 56905, 1083, 623, 16904, 236743, 236778, 28612, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 5930, 236779, 547, 1083, 623, 236799, 236825, 236832, 236828, 236819, 236771, 23179, 3714, 3250, 1083, 623, 71653, 1489, 236743, 236825, 236772, 3285, 661, 14232, 31641, 9940, 497, 236764, 236743, 236812, 236761, 236825, 30155, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 547, 1083, 623, 236780, 236770, 236770, 236778, 236778, 236800, 25938, 1604, 623, 1811, 29357, 236779, 52796, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 236776, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14297, 236772, 27252, 63311, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236770, 236778, 236772, 13807, 107460, 20342, 236764, 25364, 2197, 236764, 4896, 20512, 236764, 532, 6282, 2514, 236772, 75951, 1292, 236761, 26079, 573, 111698, 236764, 579, 40892, 236764, 532, 12480, 19292, 10498, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236828, 236810, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 16518, 1083, 11058, 230316, 742, 54215, 827, 623, 10762, 17608, 236772, 99257, 827, 623, 197628, 36514, 236772, 39316, 12410, 14255, 623, 62856, 1083, 623, 39460, 13060, 1229, 827, 623, 63265, 1083, 623, 236770, 236778, 236761, 236810, 1123, 236743, 236770, 236778, 236761, 236810, 1123, 236743, 236832, 236761, 236810, 12371, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236780, 236770, 236770, 236778, 236778, 236800, 827, 623, 3250, 1083, 623, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14232, 54215, 236764, 14297, 236772, 99257, 12939, 833, 236743, 236812, 63907, 24961, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 31534, 236743, 236825, 236772, 97772, 32670, 5111, 68706, 7436, 573, 2523, 18917, 236761, 25772, 236743, 236812, 107460, 14049, 7846, 568, 13238, 236764, 14533, 236764, 63311, 236764, 54215, 779, 19860, 8103, 5431, 236764, 51660, 25364, 7934, 236764, 532, 5646, 6623, 20512, 236761, 26079, 573, 111698, 236764, 579, 40892, 236764, 532, 5111, 236772, 74983, 66276, 10498, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236778, 236800, 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, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236770, 5237, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 4375, 1083, 623, 178463, 699, 9593, 92723, 236761, 161465, 573, 2196, 13946, 12631, 10498, 623, 62856, 1083, 623, 39460, 107330, 23179, 623, 16518, 1083, 11058, 236799, 6597, 236772, 6796, 5417, 827, 623, 10762, 236772, 75951, 1292, 827, 623, 27252, 236772, 75951, 20342, 872, 531, 236743, 236812, 3885, 827, 623, 197628, 36514, 236772, 12977, 25364, 7934, 14255, 623, 88933, 236779, 15080, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 1018, 17667, 111506, 53121, 108, 6259, 68657, 506, 3927, 532, 92578, 1698, 4889, 236764, 506, 5213, 39460, 107330, 236743, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 568, 7163, 5853, 236787, 565, 236770, 236770, 236778, 236778, 236800, 62902, 11979, 855, 618, 506, 1791, 5086, 573, 822, 12480, 532, 112354, 236787, 108, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 568, 211288, 1208, 609, 236810, 236771, 769, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 8197, 568, 236770, 236764, 236810, 236778, 236800, 10595, 236764, 236743, 236828, 236778, 236908, 236743, 236810, 236772, 7991, 24074, 769, 138, 107, 236772, 5213, 51164, 66515, 799, 2862, 236764, 13946, 236772, 90190, 236764, 19916, 2196, 236761, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236812, 107460, 7846, 568, 13238, 236764, 14533, 236764, 63311, 236764, 54215, 769, 138, 107, 138, 236772, 76247, 8103, 19396, 532, 53251, 236772, 12977, 25364, 7934, 236761, 138, 107, 138, 236772, 16661, 6623, 20512, 532, 6282, 236772, 75951, 1292, 568, 185729, 2780, 6962, 573, 236743, 236812, 3885, 769, 138, 107, 138, 236772, 45891, 573, 2523, 18917, 532, 5111, 236772, 74983, 19292, 1133, 23149, 236761, 138, 108, 1018, 11355, 1174, 9483, 236881, 1018, 138, 107, 8409, 1800, 506, 562, 236770, 236778, 236800, 236812, 236810, 532, 565, 236770, 236770, 236778, 236778, 236800, 2874, 822, 13138, 236764, 506, 565, 236770, 236770, 236778, 236778, 236800, 5469, 5213, 161364, 4065, 1018, 568, 236744, 236761, 236759, 1126, 19860, 8103, 236764, 5646, 6623, 236768, 532, 5213, 22468, 497, 3540, 19455, 1018, 568, 236828, 236778, 236908, 236743, 236810, 236772, 7991, 7728, 236761, 236743, 236812, 236761, 236832, 236772, 7991, 562, 236770, 236778, 236800, 236812, 236810, 236858, 236751, 236743, 236825, 236819, 236908, 236743, 236810, 236772, 7991, 769, 669, 3385, 563, 7109, 15779, 840, 26432, 1208, 609, 236810, 236771, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 2859, 672, 12853, 822, 3548, 236764, 564, 740, 1601, 29888, 506, 1791, 3772, 653, 2426, 15830, 657, 1032, 30686, 236761, 3792, 786, 1281, 236888, 236743, 249407, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 236743, 236825, 236772, 97772, 107460, 5111, 68706, 1208, 609, 236810, 236771, 607, 657, 3198, 496, 236743, 236812, 236761, 236810, 236772, 7991, 14470, 573, 3043, 1041, 9639, 12480, 532, 112354, 236761, 9187, 684, 19460, 9593, 573, 623, 236825, 16999, 107460, 5111, 68706, 827, 1299, 2426, 506, 1903, 1806, 2536, 236789, 4889, 236761, 1637, 1027, 659, 855, 529, 7715, 653, 14470, 236764, 59638, 506, 3927, 607, 623, 51128, 236743, 236825, 16999, 5111, 68706, 236775, 532, 15229, 236761, 44906, 6527, 236764, 15830, 236764, 532, 10595, 531, 5840, 506, 1791, 5086, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 547, 1083, 623, 1936, 236953, 236779, 236825, 44359, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 827, 623, 17870, 1083, 78493, 3250, 1083, 623, 236780, 15995, 236772, 33071, 236743, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14232, 54215, 236764, 76247, 20012, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236770, 236812, 236828, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236832, 236773, 236770, 236778, 236953, 11002, 236778, 23179, 3714, 3250, 1083, 623, 85568, 11877, 236743, 236825, 64585, 81467, 742, 31641, 9940, 497, 607, 14297, 75749, 118619, 827, 623, 9707, 1083, 236743, 236812, 236778, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 66850, 1083, 236743, 236832, 236819, 236778, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236771, 91257, 236935, 201587, 236825, 236792, 23179, 3714, 3250, 1083, 623, 16905, 30409, 107330, 236743, 236825, 26746, 14232, 31641, 9940, 497, 827, 623, 9707, 1083, 236743, 236800, 236810, 236761, 236771, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 66850, 1083, 236743, 236800, 236770, 236771, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236810, 16877, 236953, 236800, 236935, 25938, 1604, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 3927, 2536, 236764, 564, 1765, 1156, 3835, 600, 2874, 822, 13138, 236787, 108, 236770, 236761, 5213, 236780, 15995, 236772, 33071, 236743, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 568, 161617, 609, 236810, 236771, 236768, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 8197, 568, 236770, 236764, 236812, 236828, 236810, 10595, 236768, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 139, 236772, 5213, 63449, 66515, 4819, 14470, 236764, 26576, 5500, 236764, 19860, 8103, 1702, 236761, 138, 108, 236778, 236761, 5213, 85568, 11877, 236743, 236825, 64585, 81467, 742, 31641, 9940, 497, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236812, 236778, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236825, 8197, 568, 236832, 236819, 236778, 10595, 236768, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 139, 236772, 5213, 63449, 66515, 29125, 236772, 18865, 236764, 6282, 236772, 165194, 4926, 236761, 138, 108, 818, 4168, 1354, 691, 26558, 2779, 531, 1061, 236743, 236812, 236761, 236778, 236772, 7991, 14470, 568, 60096, 822, 236743, 236812, 236761, 236810, 7081, 769, 138, 108, 1018, 211199, 66515, 669, 5213, 236780, 15995, 236772, 33071, 1018, 563, 506, 1791, 5313, 573, 21016, 532, 3736, 236764, 4285, 573, 496, 13415, 1133, 12480, 532, 112354, 1298, 9958, 14049, 11949, 236761, 5978, 625, 236858, 236751, 657, 822, 609, 236810, 236771, 4576, 236764, 1061, 3715, 14470, 532, 39601, 11708, 506, 6828, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 4889, 573, 2264, 1698, 236881, 106, 107, 105, 2364, 107, 3048, 236789, 500, 1447, 531, 2934, 506, 609, 236810, 236771, 4576, 753, 564, 1374, 236789, 560, 1010, 107479, 236888, 3792, 236789, 236751, 59638, 506, 3927, 531, 33207, 7121, 609, 236810, 236771, 4852, 236761, 12808, 9593, 1570, 573, 623, 236825, 16999, 107460, 5111, 68706, 1208, 609, 236810, 236771, 236775, 607, 496, 3385, 5957, 529, 609, 236771, 23278, 236812, 236819, 236761, 236819, 236819, 236764, 1299, 2426, 506, 1903, 1806, 2536, 236789, 4889, 236761, 1637, 1027, 2874, 506, 236743, 236812, 236761, 236810, 236862, 4381, 14470, 532, 15830, 236764, 5840, 506, 1791, 236761, 1637, 711, 236764, 2056, 623, 232320, 236743, 236825, 16999, 5111, 68706, 236775, 607, 506, 1638, 18774, 236761, 564, 1461, 531, 5330, 1041, 12480, 532, 112354, 974, 506, 4011, 85460, 2180, 15512, 506, 4856, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14232, 54215, 236764, 236743, 236812, 236761, 236832, 30155, 827, 623, 9707, 1083, 6610, 236812, 236810, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 547, 1083, 623, 236776, 236770, 236778, 236800, 236812, 236810, 23179, 3714, 3250, 1083, 623, 147716, 85809, 236743, 236825, 25443, 81467, 742, 31641, 9940, 497, 236764, 236743, 236812, 236761, 236800, 30155, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 56905, 1083, 623, 16904, 236743, 236778, 28612, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 5930, 236779, 547, 1083, 623, 236799, 236825, 236832, 236828, 236819, 236771, 23179, 3714, 3250, 1083, 623, 71653, 1489, 236743, 236825, 236772, 3285, 661, 14232, 31641, 9940, 497, 236764, 236743, 236812, 236761, 236825, 30155, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 5930, 236779, 547, 1083, 623, 236780, 236770, 236770, 236778, 236778, 236800, 25938, 1604, 623, 1811, 29357, 236779, 52796, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 236776, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14297, 236772, 27252, 63311, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236770, 236778, 236772, 13807, 107460, 20342, 236764, 25364, 2197, 236764, 4896, 20512, 236764, 532, 6282, 2514, 236772, 75951, 1292, 236761, 26079, 573, 111698, 236764, 579, 40892, 236764, 532, 12480, 19292, 10498, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236828, 236810, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 16518, 1083, 11058, 230316, 742, 54215, 827, 623, 10762, 17608, 236772, 99257, 827, 623, 197628, 36514, 236772, 39316, 12410, 14255, 623, 62856, 1083, 623, 39460, 13060, 1229, 827, 623, 63265, 1083, 623, 236770, 236778, 236761, 236810, 1123, 236743, 236770, 236778, 236761, 236810, 1123, 236743, 236832, 236761, 236810, 12371, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236780, 236770, 236770, 236778, 236778, 236800, 827, 623, 3250, 1083, 623, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 607, 14232, 54215, 236764, 14297, 236772, 99257, 12939, 833, 236743, 236812, 63907, 24961, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 31534, 236743, 236825, 236772, 97772, 32670, 5111, 68706, 7436, 573, 2523, 18917, 236761, 25772, 236743, 236812, 107460, 14049, 7846, 568, 13238, 236764, 14533, 236764, 63311, 236764, 54215, 779, 19860, 8103, 5431, 236764, 51660, 25364, 7934, 236764, 532, 5646, 6623, 20512, 236761, 26079, 573, 111698, 236764, 579, 40892, 236764, 532, 5111, 236772, 74983, 66276, 10498, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236778, 236800, 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, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236770, 5237, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 4375, 1083, 623, 178463, 699, 9593, 92723, 236761, 161465, 573, 2196, 13946, 12631, 10498, 623, 62856, 1083, 623, 39460, 107330, 23179, 623, 16518, 1083, 11058, 236799, 6597, 236772, 6796, 5417, 827, 623, 10762, 236772, 75951, 1292, 827, 623, 27252, 236772, 75951, 20342, 872, 531, 236743, 236812, 3885, 827, 623, 197628, 36514, 236772, 12977, 25364, 7934, 14255, 623, 88933, 236779, 15080, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 1018, 17667, 111506, 53121, 108, 6259, 68657, 506, 3927, 532, 92578, 1698, 4889, 236764, 506, 5213, 39460, 107330, 236743, 236825, 236772, 3285, 661, 81467, 742, 31641, 9940, 497, 568, 7163, 5853, 236787, 565, 236770, 236770, 236778, 236778, 236800, 62902, 11979, 855, 618, 506, 1791, 5086, 573, 822, 12480, 532, 112354, 236787, 108, 236772, 5213, 11280, 66515, 609, 236812, 236819, 236761, 236819, 236819, 568, 211288, 1208, 609, 236810, 236771, 769, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 8197, 568, 236770, 236764, 236810, 236778, 236800, 10595, 236764, 236743, 236828, 236778, 236908, 236743, 236810, 236772, 7991, 24074, 769, 138, 107, 236772, 5213, 51164, 66515, 799, 2862, 236764, 13946, 236772, 90190, 236764, 19916, 2196, 236761, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236812, 107460, 7846, 568, 13238, 236764, 14533, 236764, 63311, 236764, 54215, 769, 138, 107, 138, 236772, 76247, 8103, 19396, 532, 53251, 236772, 12977, 25364, 7934, 236761, 138, 107, 138, 236772, 16661, 6623, 20512, 532, 6282, 236772, 75951, 1292, 568, 185729, 2780, 6962, 573, 236743, 236812, 3885, 769, 138, 107, 138, 236772, 45891, 573, 2523, 18917, 532, 5111, 236772, 74983, 19292, 1133, 23149, 236761, 138, 108, 1018, 11355, 1174, 9483, 236881, 1018, 138, 107, 8409, 1800, 506, 562, 236770, 236778, 236800, 236812, 236810, 532, 565, 236770, 236770, 236778, 236778, 236800, 2874, 822, 13138, 236764, 506, 565, 236770, 236770, 236778, 236778, 236800, 5469, 5213, 161364, 4065, 1018, 568, 236744, 236761, 236759, 1126, 19860, 8103, 236764, 5646, 6623, 236768, 532, 5213, 22468, 497, 3540, 19455, 1018, 568, 236828, 236778, 236908, 236743, 236810, 236772, 7991, 7728, 236761, 236743, 236812, 236761, 236832, 236772, 7991, 562, 236770, 236778, 236800, 236812, 236810, 236858, 236751, 236743, 236825, 236819, 236908, 236743, 236810, 236772, 7991, 769, 669, 3385, 563, 7109, 15779, 840, 26432, 1208, 609, 236810, 236771, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 2859, 672, 12853, 822, 3548, 236764, 564, 740, 1601, 29888, 506, 1791, 3772, 653, 2426, 15830, 657, 1032, 30686, 236761, 3792, 786, 1281, 236888, 236743, 249407, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 51793, 592, 1590, 236888, 564, 236789, 560, 1010, 6590, 531, 11327, 1070, 861, 7021, 529, 18014, 573, 1041, 60719, 236764, 4285, 9097, 600, 22064, 6672, 532, 4532, 1610, 14062, 236761, 564, 6827, 496, 4389, 4928, 993, 236789, 236751, 496, 6940, 142646, 3605, 600, 120393, 1131, 506, 6176, 529, 10969, 11421, 3418, 1607, 21274, 236764, 532, 886, 11635, 53766, 4065, 496, 42289, 62803, 529, 11791, 141116, 3593, 236789, 236751, 3117, 236761, 564, 236789, 236757, 23210, 768, 611, 740, 8091, 872, 506, 11635, 4889, 532, 1027, 5143, 20431, 9851, 699, 910, 9299, 236761, 669, 6940, 142646, 5853, 2473, 577, 2613, 1133, 623, 6047, 236779, 96078, 236779, 22894, 236775, 653, 623, 25154, 124288, 236779, 1340, 236779, 8147, 161414, 2217, 11716, 2889, 236764, 840, 1724, 5057, 59332, 236761, 1637, 611, 740, 236789, 236745, 1586, 625, 236764, 7463, 1502, 607, 496, 2870, 3927, 1941, 236881, 38004, 1595, 236764, 564, 236789, 236753, 2765, 531, 1769, 496, 1385, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73773, 236779, 3250, 1083, 623, 2825, 1087, 991, 931, 95765, 703, 827, 623, 14007, 236779, 17943, 1083, 11058, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236770, 236761, 4034, 827, 623, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236778, 236761, 4034, 14255, 623, 7777, 1083, 623, 89344, 236743, 236770, 46235, 496, 544, 8302, 42289, 236789, 236751, 9338, 66486, 26497, 59491, 607, 7628, 5619, 1929, 236764, 18482, 9156, 5282, 39339, 62803, 529, 3649, 236743, 236778, 236771, 594, 236772, 33201, 3668, 4532, 1929, 10498, 623, 31040, 236779, 202838, 1083, 623, 45558, 141116, 3593, 236772, 52728, 31633, 8403, 528, 19509, 236743, 236770, 236778, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11635, 1938, 699, 506, 6940, 142646, 9299, 236787, 108, 1018, 89344, 17310, 53121, 623, 2825, 1087, 991, 931, 95765, 703, 236775, 138, 107, 1018, 29698, 53121, 808, 84151, 124288, 529, 6863, 236829, 568, 5140, 580, 6456, 3469, 236748, 236743, 236800, 236771, 236771, 236770, 236800, 236828, 236768, 138, 107, 1018, 9770, 53121, 138, 107, 2094, 11635, 5238, 496, 544, 8302, 42289, 66051, 26497, 59491, 607, 7628, 5619, 1929, 236764, 18482, 9156, 5282, 39339, 62803, 529, 3649, 236743, 236778, 236771, 594, 236772, 33201, 3668, 4532, 1929, 236761, 147023, 236743, 236770, 236778, 236772, 236770, 236810, 25010, 32545, 31633, 8403, 13696, 684, 11791, 141116, 3593, 236789, 236751, 10293, 6667, 532, 81964, 9935, 236761, 108, 1018, 230717, 36374, 53121, 138, 107, 236840, 1779, 236743, 236770, 236787, 141116, 3593, 236772, 3061, 10092, 2748, 5457, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236770, 236761, 4034, 236768, 138, 107, 236840, 1779, 236743, 236778, 236787, 66026, 236772, 661, 236772, 232965, 236772, 30466, 1929, 8309, 5457, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236778, 236761, 4034, 236768, 108, 818, 3605, 7412, 531, 8913, 607, 822, 2142, 528, 6672, 236786, 30466, 1610, 19549, 753, 1093, 611, 1133, 786, 531, 1385, 573, 4767, 24111, 653, 4596, 3004, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 51793, 592, 1590, 236888, 564, 236789, 560, 1010, 6590, 531, 11327, 1070, 861, 7021, 529, 18014, 573, 1041, 60719, 236764, 4285, 9097, 600, 22064, 6672, 532, 4532, 1610, 14062, 236761, 564, 6827, 496, 4389, 4928, 993, 236789, 236751, 496, 6940, 142646, 3605, 600, 120393, 1131, 506, 6176, 529, 10969, 11421, 3418, 1607, 21274, 236764, 532, 886, 11635, 53766, 4065, 496, 42289, 62803, 529, 11791, 141116, 3593, 236789, 236751, 3117, 236761, 564, 236789, 236757, 23210, 768, 611, 740, 8091, 872, 506, 11635, 4889, 532, 1027, 5143, 20431, 9851, 699, 910, 9299, 236761, 669, 6940, 142646, 5853, 2473, 577, 2613, 1133, 623, 6047, 236779, 96078, 236779, 22894, 236775, 653, 623, 25154, 124288, 236779, 1340, 236779, 8147, 161414, 2217, 11716, 2889, 236764, 840, 1724, 5057, 59332, 236761, 1637, 611, 740, 236789, 236745, 1586, 625, 236764, 7463, 1502, 607, 496, 2870, 3927, 1941, 236881, 38004, 1595, 236764, 564, 236789, 236753, 2765, 531, 1769, 496, 1385, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73773, 236779, 3250, 1083, 623, 2825, 1087, 991, 931, 95765, 703, 827, 623, 14007, 236779, 17943, 1083, 11058, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236770, 236761, 4034, 827, 623, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236778, 236761, 4034, 14255, 623, 7777, 1083, 623, 89344, 236743, 236770, 46235, 496, 544, 8302, 42289, 236789, 236751, 9338, 66486, 26497, 59491, 607, 7628, 5619, 1929, 236764, 18482, 9156, 5282, 39339, 62803, 529, 3649, 236743, 236778, 236771, 594, 236772, 33201, 3668, 4532, 1929, 10498, 623, 31040, 236779, 202838, 1083, 623, 45558, 141116, 3593, 236772, 52728, 31633, 8403, 528, 19509, 236743, 236770, 236778, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11635, 1938, 699, 506, 6940, 142646, 9299, 236787, 108, 1018, 89344, 17310, 53121, 623, 2825, 1087, 991, 931, 95765, 703, 236775, 138, 107, 1018, 29698, 53121, 808, 84151, 124288, 529, 6863, 236829, 568, 5140, 580, 6456, 3469, 236748, 236743, 236800, 236771, 236771, 236770, 236800, 236828, 236768, 138, 107, 1018, 9770, 53121, 138, 107, 2094, 11635, 5238, 496, 544, 8302, 42289, 66051, 26497, 59491, 607, 7628, 5619, 1929, 236764, 18482, 9156, 5282, 39339, 62803, 529, 3649, 236743, 236778, 236771, 594, 236772, 33201, 3668, 4532, 1929, 236761, 147023, 236743, 236770, 236778, 236772, 236770, 236810, 25010, 32545, 31633, 8403, 13696, 684, 11791, 141116, 3593, 236789, 236751, 10293, 6667, 532, 81964, 9935, 236761, 108, 1018, 230717, 36374, 53121, 138, 107, 236840, 1779, 236743, 236770, 236787, 141116, 3593, 236772, 3061, 10092, 2748, 5457, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236770, 236761, 4034, 236768, 138, 107, 236840, 1779, 236743, 236778, 236787, 66026, 236772, 661, 236772, 232965, 236772, 30466, 1929, 8309, 5457, 2574, 1411, 5166, 142646, 236772, 21122, 236761, 2108, 236786, 28555, 3469, 236748, 236800, 236771, 236771, 236770, 236800, 236828, 236786, 838, 236770, 236772, 661, 236778, 236761, 4034, 236768, 108, 818, 3605, 7412, 531, 8913, 607, 822, 2142, 528, 6672, 236786, 30466, 1610, 19549, 753, 1093, 611, 1133, 786, 531, 1385, 573, 4767, 24111, 653, 4596, 3004, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 4699, 528, 506, 147515, 3956, 573, 496, 3435, 6828, 236761, 9187, 684, 21558, 5158, 2862, 178047, 9456, 580, 506, 1799, 3773, 13827, 19651, 600, 659, 4596, 531, 38565, 653, 2147, 73064, 236761, 4298, 236764, 573, 1546, 2544, 611, 1586, 236764, 33205, 4803, 4668, 10308, 699, 128322, 77625, 653, 55947, 19666, 6469, 528, 506, 1774, 236743, 236800, 236771, 2668, 236761, 13472, 236764, 2426, 506, 2862, 3736, 529, 1239, 4699, 1024, 506, 3068, 7737, 1699, 910, 178047, 236761, 1637, 611, 5524, 1027, 6582, 10842, 607, 84390, 16271, 236764, 2056, 4071, 236772, 35380, 9908, 607, 188196, 38332, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236149, 1083, 11058, 146175, 827, 623, 82279, 236824, 827, 623, 236824, 3129, 827, 623, 32698, 3334, 827, 623, 236791, 1393, 14255, 623, 39588, 1083, 623, 69902, 827, 623, 5034, 236779, 2861, 1083, 236743, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 146175, 6308, 27708, 1366, 236778, 90137, 28057, 124148, 81909, 528, 170428, 85591, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 146175, 6308, 568, 146175, 236768, 36774, 1366, 236778, 17785, 14682, 607, 609, 236771, 236761, 236812, 236778, 40103, 236764, 14208, 684, 861, 7933, 46064, 16374, 236761, 85214, 11076, 236743, 236810, 236908, 580, 506, 4668, 236761, 153415, 47669, 3877, 3435, 528, 34126, 46064, 3019, 221476, 3714, 3250, 1083, 623, 29335, 53532, 20467, 134783, 50246, 2991, 41270, 6592, 236764, 85214, 65371, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 146175, 6308, 532, 26694, 3392, 37390, 17286, 4204, 1024, 10894, 6138, 10154, 236761, 134178, 236789, 236751, 2862, 24984, 236743, 236800, 236908, 2269, 506, 2072, 236764, 1651, 3956, 30055, 6418, 9726, 12047, 221476, 3714, 3250, 1083, 623, 146175, 6308, 13642, 2964, 100756, 9904, 139945, 657, 9539, 50390, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 146175, 6308, 59817, 609, 236778, 236810, 236792, 6828, 528, 10321, 2778, 5699, 3418, 9539, 147515, 8848, 236764, 42351, 531, 6439, 17934, 5384, 684, 236743, 236770, 236778, 236908, 24321, 236761, 86101, 13177, 8932, 30706, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 11834, 17831, 525, 185131, 1799, 48969, 81909, 528, 9539, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 11834, 17831, 525, 568, 82279, 236824, 236768, 133020, 4258, 531, 6778, 34126, 46064, 6541, 528, 9539, 236764, 131045, 9726, 2436, 12047, 10498, 623, 2883, 1083, 623, 2574, 1411, 27815, 2624, 210713, 236761, 8358, 236786, 57896, 236765, 236772, 194409, 236772, 73522, 23179, 3714, 3250, 1083, 623, 29335, 53532, 81973, 7117, 50246, 10901, 134035, 528, 236743, 236778, 236771, 236778, 236810, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 6011, 1083, 623, 112146, 5608, 4100, 529, 6195, 7933, 52233, 33624, 580, 17354, 17831, 525, 568, 82279, 236824, 236768, 532, 3956, 30055, 10498, 623, 2883, 1083, 623, 2574, 1411, 57082, 236761, 8358, 236786, 7128, 236772, 972, 16413, 236772, 53507, 23179, 3714, 3250, 1083, 623, 82279, 236824, 1366, 236812, 90137, 236787, 34607, 66873, 1472, 124148, 21705, 1787, 8855, 847, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 11834, 17831, 525, 7248, 609, 236771, 236761, 236812, 236810, 40103, 4305, 618, 22327, 16374, 63966, 1680, 861, 10056, 105396, 236764, 2862, 111119, 236743, 236810, 9525, 827, 623, 2883, 1083, 623, 2574, 1411, 27815, 2624, 210713, 236761, 8358, 236786, 57896, 236765, 236772, 236809, 236812, 236772, 220929, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236824, 3129, 12232, 13642, 2964, 163719, 48969, 85591, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 6011, 1083, 623, 236824, 3129, 12232, 133020, 861, 16374, 528, 506, 61521, 236764, 57783, 1366, 236800, 10471, 35719, 221476, 3714, 3250, 1083, 623, 29335, 53532, 81973, 75445, 124148, 12329, 34356, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 236824, 3129, 532, 30055, 1460, 4869, 2142, 2269, 4803, 27185, 18783, 1781, 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, 29995, 1083, 3714, 64939, 236779, 22037, 1083, 623, 127274, 5404, 756, 32698, 3334, 236789, 1677, 711, 10571, 531, 1027, 3224, 1237, 2544, 528, 506, 38565, 3956, 236761, 30638, 178047, 573, 147515, 10056, 4699, 3204, 756, 146175, 236789, 568, 59778, 6308, 5295, 236768, 532, 756, 82279, 236824, 236789, 568, 11834, 17831, 525, 5295, 75265, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236791, 1393, 185131, 1799, 163719, 48969, 45012, 528, 9539, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 236791, 1393, 12232, 133020, 496, 609, 236810, 236771, 236792, 4258, 573, 4181, 42392, 528, 9539, 1883, 73064, 236764, 26453, 3877, 528, 910, 38565, 11247, 221476, 3714, 3250, 1083, 623, 29335, 53532, 81973, 75445, 580, 12329, 136206, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 112146, 5433, 91591, 236789, 236751, 4803, 17258, 529, 496, 16953, 38565, 14896, 6218, 92104, 1061, 2436, 2939, 7531, 529, 1366, 236770, 17785, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2958, 12323, 580, 147515, 3956, 4699, 236787, 108, 1018, 13280, 200273, 558, 72113, 229414, 53121, 107, 236772, 134178, 568, 59778, 6308, 5295, 236768, 107, 236772, 52074, 236824, 568, 11834, 17831, 525, 5295, 236768, 107, 236772, 91591, 568, 236791, 1393, 12232, 236768, 107, 236772, 649, 3129, 568, 236824, 3129, 12232, 236768, 107, 236772, 48032, 3334, 568, 18331, 753, 951, 5158, 2544, 1765, 236768, 108, 1018, 47619, 7074, 70731, 53121, 107, 236770, 236761, 808, 146175, 6308, 236829, 568, 42599, 2624, 77625, 236786, 144203, 1473, 107, 139, 236772, 1366, 236778, 17785, 12222, 657, 609, 236771, 236761, 236812, 236778, 40103, 607, 7933, 46064, 4258, 3877, 107, 139, 236772, 609, 236778, 236810, 236792, 10321, 6828, 528, 9539, 8848, 568, 27403, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 133441, 17286, 4204, 1024, 10894, 6138, 10154, 108, 236778, 236761, 808, 11834, 17831, 525, 568, 82279, 236824, 12016, 568, 42599, 2624, 77625, 1473, 107, 139, 236772, 1799, 9539, 34126, 46064, 4258, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 1366, 236812, 17785, 4305, 657, 609, 236771, 236761, 236812, 236810, 40103, 2779, 531, 192133, 16374, 107, 139, 236772, 195314, 17286, 55170, 528, 236743, 236778, 236771, 236778, 236810, 108, 236800, 236761, 808, 236791, 1393, 12232, 236829, 568, 42599, 2624, 77625, 1473, 107, 139, 236772, 609, 236810, 236771, 236792, 9539, 10894, 4181, 19260, 4258, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 4811, 14238, 38565, 14896, 6218, 7531, 529, 1366, 236770, 17785, 108, 1018, 89740, 186612, 53121, 564, 3914, 33205, 2862, 3736, 1262, 618, 7293, 529, 506, 2487, 6436, 2847, 4867, 19455, 653, 11858, 2862, 6527, 236761, 1599, 236789, 859, 1202, 496, 4867, 1262, 5058, 568, 236744, 236761, 236759, 1126, 58290, 236764, 55947, 19666, 1255, 236764, 653, 496, 87548, 236768, 531, 18840, 42688, 2862, 3736, 19455, 1133, 236787, 108, 236772, 14584, 3731, 568, 27393, 236743, 236770, 236810, 753, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 236772, 42716, 5542, 15067, 107, 236772, 593, 236786, 236788, 24781, 532, 30627, 15741, 107, 236772, 85358, 18497, 3731, 108, 1018, 211199, 53121, 12713, 236772, 30449, 188196, 38332, 1699, 2165, 828, 236779, 14973, 236779, 236149, 236779, 2003, 236779, 39588, 236779, 3970, 236929, 607, 623, 84203, 236775, 7689, 531, 1586, 4767, 4699, 236764, 840, 5433, 600, 48032, 3334, 691, 3016, 10778, 19070, 236761, 14066, 21494, 2958, 531, 3204, 3956, 7248, 699, 147515, 4181, 15063, 653, 31100, 14601, 600, 2473, 2729, 9302, 6828, 7760, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 4071, 236772, 30449, 188196, 38332, 1699, 2165, 828, 236779, 14973, 236779, 236149, 236779, 2003, 236779, 39588, 236779, 3970, 236929, 607, 623, 84203, 236775, 7689, 531, 1586, 4767, 147515, 3956, 4699, 236761, 1701, 1027, 861, 178047, 8385, 236764, 33205, 910, 4803, 128322, 77625, 653, 55947, 19666, 10308, 1699, 2165, 828, 236779, 24948, 236779, 2003, 236779, 25385, 236779, 64939, 21233, 13472, 236764, 2338, 2862, 3736, 6436, 659, 47713, 236764, 25774, 496, 12323, 529, 2307, 13682, 532, 3877, 5872, 699, 506, 4668, 10308, 531, 1573, 6828, 9886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236149, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 1018, 84203, 205478, 12713, 236772, 9313, 53121, 107, 3771, 5158, 147515, 3956, 178047, 1765, 580, 188196, 236761, 669, 200273, 178047, 568, 146175, 236764, 52074, 236824, 236764, 91591, 236764, 649, 3129, 236768, 4595, 506, 5905, 1237, 4699, 528, 672, 7095, 236761, 108, 7243, 108, 10354, 5213, 116075, 40954, 25252, 236787, 9533, 132163, 833, 26608, 53163, 1018, 108, 2595, 5213, 83380, 62503, 1018, 107, 236770, 236761, 5213, 50797, 21705, 81909, 1018, 107, 139, 236772, 134178, 6308, 18788, 861, 7933, 46064, 16374, 568, 236935, 236778, 236743, 236778, 236771, 236778, 236810, 779, 57783, 40103, 684, 236743, 236770, 236778, 9525, 107, 139, 236772, 17354, 17831, 525, 568, 82279, 236824, 236768, 15744, 9539, 34126, 46064, 6541, 568, 27393, 236743, 236778, 236771, 236778, 236810, 769, 108, 236778, 236761, 5213, 69416, 833, 72143, 72666, 1018, 107, 139, 236772, 91591, 12232, 2810, 496, 609, 236810, 236771, 236792, 9539, 10894, 14896, 19260, 4258, 568, 27393, 236743, 236778, 236771, 236778, 236810, 769, 107, 139, 236772, 134178, 6308, 25676, 609, 236778, 236810, 236792, 528, 10321, 2778, 657, 9539, 8848, 568, 27403, 236743, 236778, 236771, 236778, 236810, 779, 13471, 17934, 5384, 236761, 108, 236800, 236761, 5213, 20884, 136206, 54482, 134035, 1018, 107, 139, 236772, 50246, 24637, 532, 34126, 4957, 52731, 568, 144203, 19666, 236764, 3353, 236743, 236778, 236771, 236778, 236810, 236768, 1149, 5697, 5056, 573, 46064, 3019, 236761, 108, 2595, 5213, 3503, 132163, 1018, 107, 236770, 236761, 5213, 190705, 833, 28553, 2991, 41270, 6592, 1018, 107, 139, 236772, 51701, 524, 3213, 580, 10894, 6138, 10154, 568, 42599, 2624, 77625, 236764, 3353, 236743, 236778, 236771, 236778, 236810, 236768, 5378, 531, 496, 236743, 236800, 236908, 2862, 16670, 573, 134178, 236761, 107, 139, 236772, 70884, 7933, 52233, 33624, 568, 144203, 19666, 236764, 5261, 236743, 236778, 236771, 236778, 236810, 236768, 56848, 9876, 34759, 236761, 108, 236778, 236761, 5213, 21372, 6285, 26633, 1018, 107, 139, 236772, 52074, 236824, 17175, 496, 609, 236771, 236761, 236812, 236810, 40103, 4305, 568, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 236768, 2779, 531, 192133, 16374, 225270, 4761, 861, 10056, 105396, 236761, 108, 236800, 236761, 5213, 6398, 550, 1353, 833, 86101, 161601, 1018, 107, 139, 236772, 7423, 91707, 2342, 2147, 10894, 13448, 1451, 4100, 1440, 236772, 6061, 55233, 236764, 9785, 134178, 236789, 236751, 86101, 236772, 41889, 10321, 19898, 236761, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 236772, 5213, 19242, 134178, 532, 91591, 1018, 573, 3541, 236772, 6061, 3877, 3435, 568, 147304, 16374, 236764, 14896, 42392, 769, 107, 236772, 5213, 77499, 52074, 236824, 1018, 3097, 4258, 18922, 181022, 568, 236935, 236812, 17785, 43866, 769, 107, 236772, 5213, 52804, 50246, 101638, 66515, 12329, 24637, 568, 236744, 236761, 236759, 1126, 34126, 12003, 236764, 6138, 9734, 236768, 795, 18677, 7630, 7095, 3736, 236761, 107, 236772, 5213, 24501, 48806, 103765, 66515, 46071, 147515, 4181, 15063, 568, 236744, 236761, 236759, 1126, 115175, 3797, 236764, 79569, 7283, 6436, 236768, 711, 17755, 528, 1873, 84390, 15852, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 4699, 528, 506, 147515, 3956, 573, 496, 3435, 6828, 236761, 9187, 684, 21558, 5158, 2862, 178047, 9456, 580, 506, 1799, 3773, 13827, 19651, 600, 659, 4596, 531, 38565, 653, 2147, 73064, 236761, 4298, 236764, 573, 1546, 2544, 611, 1586, 236764, 33205, 4803, 4668, 10308, 699, 128322, 77625, 653, 55947, 19666, 6469, 528, 506, 1774, 236743, 236800, 236771, 2668, 236761, 13472, 236764, 2426, 506, 2862, 3736, 529, 1239, 4699, 1024, 506, 3068, 7737, 1699, 910, 178047, 236761, 1637, 611, 5524, 1027, 6582, 10842, 607, 84390, 16271, 236764, 2056, 4071, 236772, 35380, 9908, 607, 188196, 38332, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236149, 1083, 11058, 146175, 827, 623, 82279, 236824, 827, 623, 236824, 3129, 827, 623, 32698, 3334, 827, 623, 236791, 1393, 14255, 623, 39588, 1083, 623, 69902, 827, 623, 5034, 236779, 2861, 1083, 236743, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 146175, 6308, 27708, 1366, 236778, 90137, 28057, 124148, 81909, 528, 170428, 85591, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 146175, 6308, 568, 146175, 236768, 36774, 1366, 236778, 17785, 14682, 607, 609, 236771, 236761, 236812, 236778, 40103, 236764, 14208, 684, 861, 7933, 46064, 16374, 236761, 85214, 11076, 236743, 236810, 236908, 580, 506, 4668, 236761, 153415, 47669, 3877, 3435, 528, 34126, 46064, 3019, 221476, 3714, 3250, 1083, 623, 29335, 53532, 20467, 134783, 50246, 2991, 41270, 6592, 236764, 85214, 65371, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 146175, 6308, 532, 26694, 3392, 37390, 17286, 4204, 1024, 10894, 6138, 10154, 236761, 134178, 236789, 236751, 2862, 24984, 236743, 236800, 236908, 2269, 506, 2072, 236764, 1651, 3956, 30055, 6418, 9726, 12047, 221476, 3714, 3250, 1083, 623, 146175, 6308, 13642, 2964, 100756, 9904, 139945, 657, 9539, 50390, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 146175, 6308, 59817, 609, 236778, 236810, 236792, 6828, 528, 10321, 2778, 5699, 3418, 9539, 147515, 8848, 236764, 42351, 531, 6439, 17934, 5384, 684, 236743, 236770, 236778, 236908, 24321, 236761, 86101, 13177, 8932, 30706, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 11834, 17831, 525, 185131, 1799, 48969, 81909, 528, 9539, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 11834, 17831, 525, 568, 82279, 236824, 236768, 133020, 4258, 531, 6778, 34126, 46064, 6541, 528, 9539, 236764, 131045, 9726, 2436, 12047, 10498, 623, 2883, 1083, 623, 2574, 1411, 27815, 2624, 210713, 236761, 8358, 236786, 57896, 236765, 236772, 194409, 236772, 73522, 23179, 3714, 3250, 1083, 623, 29335, 53532, 81973, 7117, 50246, 10901, 134035, 528, 236743, 236778, 236771, 236778, 236810, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 6011, 1083, 623, 112146, 5608, 4100, 529, 6195, 7933, 52233, 33624, 580, 17354, 17831, 525, 568, 82279, 236824, 236768, 532, 3956, 30055, 10498, 623, 2883, 1083, 623, 2574, 1411, 57082, 236761, 8358, 236786, 7128, 236772, 972, 16413, 236772, 53507, 23179, 3714, 3250, 1083, 623, 82279, 236824, 1366, 236812, 90137, 236787, 34607, 66873, 1472, 124148, 21705, 1787, 8855, 847, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 11834, 17831, 525, 7248, 609, 236771, 236761, 236812, 236810, 40103, 4305, 618, 22327, 16374, 63966, 1680, 861, 10056, 105396, 236764, 2862, 111119, 236743, 236810, 9525, 827, 623, 2883, 1083, 623, 2574, 1411, 27815, 2624, 210713, 236761, 8358, 236786, 57896, 236765, 236772, 236809, 236812, 236772, 220929, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236824, 3129, 12232, 13642, 2964, 163719, 48969, 85591, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 6011, 1083, 623, 236824, 3129, 12232, 133020, 861, 16374, 528, 506, 61521, 236764, 57783, 1366, 236800, 10471, 35719, 221476, 3714, 3250, 1083, 623, 29335, 53532, 81973, 75445, 124148, 12329, 34356, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 236824, 3129, 532, 30055, 1460, 4869, 2142, 2269, 4803, 27185, 18783, 1781, 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, 29995, 1083, 3714, 64939, 236779, 22037, 1083, 623, 127274, 5404, 756, 32698, 3334, 236789, 1677, 711, 10571, 531, 1027, 3224, 1237, 2544, 528, 506, 38565, 3956, 236761, 30638, 178047, 573, 147515, 10056, 4699, 3204, 756, 146175, 236789, 568, 59778, 6308, 5295, 236768, 532, 756, 82279, 236824, 236789, 568, 11834, 17831, 525, 5295, 75265, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 236791, 1393, 185131, 1799, 163719, 48969, 45012, 528, 9539, 827, 623, 6265, 1083, 623, 42599, 2624, 77625, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 236791, 1393, 12232, 133020, 496, 609, 236810, 236771, 236792, 4258, 573, 4181, 42392, 528, 9539, 1883, 73064, 236764, 26453, 3877, 528, 910, 38565, 11247, 221476, 3714, 3250, 1083, 623, 29335, 53532, 81973, 75445, 580, 12329, 136206, 827, 623, 6265, 1083, 623, 144203, 19666, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 112146, 5433, 91591, 236789, 236751, 4803, 17258, 529, 496, 16953, 38565, 14896, 6218, 92104, 1061, 2436, 2939, 7531, 529, 1366, 236770, 17785, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2958, 12323, 580, 147515, 3956, 4699, 236787, 108, 1018, 13280, 200273, 558, 72113, 229414, 53121, 107, 236772, 134178, 568, 59778, 6308, 5295, 236768, 107, 236772, 52074, 236824, 568, 11834, 17831, 525, 5295, 236768, 107, 236772, 91591, 568, 236791, 1393, 12232, 236768, 107, 236772, 649, 3129, 568, 236824, 3129, 12232, 236768, 107, 236772, 48032, 3334, 568, 18331, 753, 951, 5158, 2544, 1765, 236768, 108, 1018, 47619, 7074, 70731, 53121, 107, 236770, 236761, 808, 146175, 6308, 236829, 568, 42599, 2624, 77625, 236786, 144203, 1473, 107, 139, 236772, 1366, 236778, 17785, 12222, 657, 609, 236771, 236761, 236812, 236778, 40103, 607, 7933, 46064, 4258, 3877, 107, 139, 236772, 609, 236778, 236810, 236792, 10321, 6828, 528, 9539, 8848, 568, 27403, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 133441, 17286, 4204, 1024, 10894, 6138, 10154, 108, 236778, 236761, 808, 11834, 17831, 525, 568, 82279, 236824, 12016, 568, 42599, 2624, 77625, 1473, 107, 139, 236772, 1799, 9539, 34126, 46064, 4258, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 1366, 236812, 17785, 4305, 657, 609, 236771, 236761, 236812, 236810, 40103, 2779, 531, 192133, 16374, 107, 139, 236772, 195314, 17286, 55170, 528, 236743, 236778, 236771, 236778, 236810, 108, 236800, 236761, 808, 236791, 1393, 12232, 236829, 568, 42599, 2624, 77625, 1473, 107, 139, 236772, 609, 236810, 236771, 236792, 9539, 10894, 4181, 19260, 4258, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 4811, 14238, 38565, 14896, 6218, 7531, 529, 1366, 236770, 17785, 108, 1018, 89740, 186612, 53121, 564, 3914, 33205, 2862, 3736, 1262, 618, 7293, 529, 506, 2487, 6436, 2847, 4867, 19455, 653, 11858, 2862, 6527, 236761, 1599, 236789, 859, 1202, 496, 4867, 1262, 5058, 568, 236744, 236761, 236759, 1126, 58290, 236764, 55947, 19666, 1255, 236764, 653, 496, 87548, 236768, 531, 18840, 42688, 2862, 3736, 19455, 1133, 236787, 108, 236772, 14584, 3731, 568, 27393, 236743, 236770, 236810, 753, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 236772, 42716, 5542, 15067, 107, 236772, 593, 236786, 236788, 24781, 532, 30627, 15741, 107, 236772, 85358, 18497, 3731, 108, 1018, 211199, 53121, 12713, 236772, 30449, 188196, 38332, 1699, 2165, 828, 236779, 14973, 236779, 236149, 236779, 2003, 236779, 39588, 236779, 3970, 236929, 607, 623, 84203, 236775, 7689, 531, 1586, 4767, 4699, 236764, 840, 5433, 600, 48032, 3334, 691, 3016, 10778, 19070, 236761, 14066, 21494, 2958, 531, 3204, 3956, 7248, 699, 147515, 4181, 15063, 653, 31100, 14601, 600, 2473, 2729, 9302, 6828, 7760, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 4071, 236772, 30449, 188196, 38332, 1699, 2165, 828, 236779, 14973, 236779, 236149, 236779, 2003, 236779, 39588, 236779, 3970, 236929, 607, 623, 84203, 236775, 7689, 531, 1586, 4767, 147515, 3956, 4699, 236761, 1701, 1027, 861, 178047, 8385, 236764, 33205, 910, 4803, 128322, 77625, 653, 55947, 19666, 10308, 1699, 2165, 828, 236779, 24948, 236779, 2003, 236779, 25385, 236779, 64939, 21233, 13472, 236764, 2338, 2862, 3736, 6436, 659, 47713, 236764, 25774, 496, 12323, 529, 2307, 13682, 532, 3877, 5872, 699, 506, 4668, 10308, 531, 1573, 6828, 9886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236149, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 1018, 84203, 205478, 12713, 236772, 9313, 53121, 107, 3771, 5158, 147515, 3956, 178047, 1765, 580, 188196, 236761, 669, 200273, 178047, 568, 146175, 236764, 52074, 236824, 236764, 91591, 236764, 649, 3129, 236768, 4595, 506, 5905, 1237, 4699, 528, 672, 7095, 236761, 108, 7243, 108, 10354, 5213, 116075, 40954, 25252, 236787, 9533, 132163, 833, 26608, 53163, 1018, 108, 2595, 5213, 83380, 62503, 1018, 107, 236770, 236761, 5213, 50797, 21705, 81909, 1018, 107, 139, 236772, 134178, 6308, 18788, 861, 7933, 46064, 16374, 568, 236935, 236778, 236743, 236778, 236771, 236778, 236810, 779, 57783, 40103, 684, 236743, 236770, 236778, 9525, 107, 139, 236772, 17354, 17831, 525, 568, 82279, 236824, 236768, 15744, 9539, 34126, 46064, 6541, 568, 27393, 236743, 236778, 236771, 236778, 236810, 769, 108, 236778, 236761, 5213, 69416, 833, 72143, 72666, 1018, 107, 139, 236772, 91591, 12232, 2810, 496, 609, 236810, 236771, 236792, 9539, 10894, 14896, 19260, 4258, 568, 27393, 236743, 236778, 236771, 236778, 236810, 769, 107, 139, 236772, 134178, 6308, 25676, 609, 236778, 236810, 236792, 528, 10321, 2778, 657, 9539, 8848, 568, 27403, 236743, 236778, 236771, 236778, 236810, 779, 13471, 17934, 5384, 236761, 108, 236800, 236761, 5213, 20884, 136206, 54482, 134035, 1018, 107, 139, 236772, 50246, 24637, 532, 34126, 4957, 52731, 568, 144203, 19666, 236764, 3353, 236743, 236778, 236771, 236778, 236810, 236768, 1149, 5697, 5056, 573, 46064, 3019, 236761, 108, 2595, 5213, 3503, 132163, 1018, 107, 236770, 236761, 5213, 190705, 833, 28553, 2991, 41270, 6592, 1018, 107, 139, 236772, 51701, 524, 3213, 580, 10894, 6138, 10154, 568, 42599, 2624, 77625, 236764, 3353, 236743, 236778, 236771, 236778, 236810, 236768, 5378, 531, 496, 236743, 236800, 236908, 2862, 16670, 573, 134178, 236761, 107, 139, 236772, 70884, 7933, 52233, 33624, 568, 144203, 19666, 236764, 5261, 236743, 236778, 236771, 236778, 236810, 236768, 56848, 9876, 34759, 236761, 108, 236778, 236761, 5213, 21372, 6285, 26633, 1018, 107, 139, 236772, 52074, 236824, 17175, 496, 609, 236771, 236761, 236812, 236810, 40103, 4305, 568, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 236768, 2779, 531, 192133, 16374, 225270, 4761, 861, 10056, 105396, 236761, 108, 236800, 236761, 5213, 6398, 550, 1353, 833, 86101, 161601, 1018, 107, 139, 236772, 7423, 91707, 2342, 2147, 10894, 13448, 1451, 4100, 1440, 236772, 6061, 55233, 236764, 9785, 134178, 236789, 236751, 86101, 236772, 41889, 10321, 19898, 236761, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 236772, 5213, 19242, 134178, 532, 91591, 1018, 573, 3541, 236772, 6061, 3877, 3435, 568, 147304, 16374, 236764, 14896, 42392, 769, 107, 236772, 5213, 77499, 52074, 236824, 1018, 3097, 4258, 18922, 181022, 568, 236935, 236812, 17785, 43866, 769, 107, 236772, 5213, 52804, 50246, 101638, 66515, 12329, 24637, 568, 236744, 236761, 236759, 1126, 34126, 12003, 236764, 6138, 9734, 236768, 795, 18677, 7630, 7095, 3736, 236761, 107, 236772, 5213, 24501, 48806, 103765, 66515, 46071, 147515, 4181, 15063, 568, 236744, 236761, 236759, 1126, 115175, 3797, 236764, 79569, 7283, 6436, 236768, 711, 17755, 528, 1873, 84390, 15852, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 21558, 12524, 4181, 45847, 528, 506, 3640, 4184, 531, 41049, 607, 573, 19074, 5405, 236761, 5315, 236764, 2426, 1217, 1551, 45847, 659, 12314, 528, 506, 2590, 1699, 506, 2891, 1527, 5904, 236761, 1637, 600, 236789, 236751, 6595, 236764, 33205, 496, 8564, 7413, 1694, 529, 1239, 2590, 236772, 5140, 45847, 236761, 9920, 692, 735, 506, 1694, 236764, 3927, 573, 45847, 10916, 4596, 531, 623, 27671, 4993, 236775, 1699, 506, 3927, 29032, 1292, 236761, 1637, 1027, 2918, 20269, 236764, 6253, 6137, 618, 4354, 532, 2056, 1570, 236761, 3792, 236789, 236751, 1502, 607, 506, 1527, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2861, 1083, 236743, 236770, 236812, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38264, 616, 1083, 78493, 547, 1083, 623, 218071, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 27671, 4675, 23566, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 18146, 1854, 1083, 623, 27671, 9426, 23179, 3714, 547, 1083, 623, 218071, 236770, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 137388, 606, 4675, 18671, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 18146, 1854, 1083, 623, 236855, 236772, 236770, 236778, 14232, 18238, 23179, 3714, 547, 1083, 623, 218071, 236770, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 36177, 30354, 48429, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 18146, 1854, 1083, 623, 12553, 528, 9426, 25938, 1604, 623, 6725, 236779, 53247, 1083, 236743, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 53247, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 38264, 616, 1083, 78493, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236770, 236800, 236812, 827, 623, 1201, 1083, 623, 27671, 46627, 3287, 5295, 10498, 623, 7125, 1083, 623, 107305, 236764, 27608, 827, 623, 18146, 1854, 1083, 623, 236855, 236772, 236770, 236778, 56241, 25755, 6436, 827, 623, 11607, 1083, 623, 11607, 236940, 540, 31127, 4332, 3287, 236761, 854, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236778, 236828, 236832, 827, 623, 1201, 1083, 623, 45946, 59494, 6308, 827, 623, 7125, 1083, 623, 67784, 236764, 7883, 827, 623, 18146, 1854, 1083, 623, 46217, 4796, 14175, 827, 623, 11607, 1083, 623, 9442, 236940, 33856, 78360, 236761, 854, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236800, 236819, 236770, 827, 623, 1201, 1083, 623, 5044, 192890, 24694, 827, 623, 7125, 1083, 623, 49548, 236764, 15237, 827, 623, 18146, 1854, 1083, 623, 5044, 4993, 13283, 827, 623, 11607, 1083, 623, 3906, 236940, 747, 91393, 11932, 236761, 854, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236812, 236810, 236825, 827, 623, 1201, 1083, 623, 29235, 4675, 23566, 827, 623, 7125, 1083, 623, 23243, 14322, 236764, 8253, 827, 623, 18146, 1854, 1083, 623, 84930, 14175, 573, 7958, 827, 623, 11607, 1083, 623, 26377, 236940, 654, 3059, 95526, 236761, 2108, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236810, 236778, 236819, 827, 623, 1201, 1083, 623, 80401, 97765, 11032, 827, 623, 7125, 1083, 623, 154471, 236764, 2671, 827, 623, 18146, 1854, 1083, 623, 8410, 236772, 5140, 10630, 34332, 827, 623, 11607, 1083, 623, 101826, 28268, 236940, 80563, 198912, 236761, 2187, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 6725, 236779, 11134, 1083, 236743, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 699, 506, 56241, 4993, 29032, 3927, 236787, 108, 1018, 8534, 236743, 236810, 56241, 9426, 57792, 528, 506, 2590, 568, 4163, 236743, 236770, 529, 236743, 236810, 1473, 1018, 107, 236770, 236761, 5213, 27671, 46627, 3287, 5295, 99382, 138, 107, 139, 6375, 236787, 24278, 236764, 27608, 138, 107, 139, 23244, 1854, 236787, 751, 236772, 236770, 236778, 56241, 25755, 6436, 138, 107, 139, 11431, 236787, 3662, 236940, 540, 31127, 4332, 3287, 236761, 854, 138, 108, 236778, 236761, 5213, 45946, 59494, 6308, 1018, 138, 107, 139, 6375, 236787, 14850, 236764, 7883, 138, 107, 139, 23244, 1854, 236787, 31023, 4796, 14175, 138, 107, 139, 11431, 236787, 1894, 236940, 33856, 78360, 236761, 854, 138, 108, 236800, 236761, 5213, 5044, 192890, 24694, 1018, 138, 107, 139, 6375, 236787, 10561, 236764, 15237, 138, 107, 139, 23244, 1854, 236787, 6547, 4993, 13283, 138, 107, 139, 11431, 236787, 8283, 236940, 747, 91393, 11932, 236761, 854, 138, 108, 236812, 236761, 5213, 29235, 4675, 23566, 1018, 138, 107, 139, 6375, 236787, 5054, 14322, 236764, 8253, 138, 107, 139, 23244, 1854, 236787, 82032, 14175, 573, 7958, 138, 107, 139, 11431, 236787, 5886, 236940, 654, 3059, 95526, 236761, 2108, 138, 108, 236810, 236761, 5213, 80401, 97765, 11032, 1018, 138, 107, 139, 6375, 236787, 30856, 236764, 2671, 138, 107, 139, 23244, 1854, 236787, 7879, 236772, 5140, 10630, 34332, 138, 107, 139, 11431, 236787, 33000, 236940, 80563, 198912, 236761, 2187, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 236743, 236812, 236778, 2558, 45847, 4241, 623, 27671, 4993, 236775, 138, 107, 236772, 21284, 611, 1133, 531, 11327, 4767, 7704, 568, 236778, 236772, 236810, 236768, 573, 919, 3835, 236881, 138, 107, 236772, 18975, 564, 59638, 506, 3927, 607, 1027, 18774, 568, 236744, 236761, 236759, 1126, 11398, 1984, 3213, 236764, 1698, 1722, 20625, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 21558, 12524, 4181, 45847, 528, 506, 3640, 4184, 531, 41049, 607, 573, 19074, 5405, 236761, 5315, 236764, 2426, 1217, 1551, 45847, 659, 12314, 528, 506, 2590, 1699, 506, 2891, 1527, 5904, 236761, 1637, 600, 236789, 236751, 6595, 236764, 33205, 496, 8564, 7413, 1694, 529, 1239, 2590, 236772, 5140, 45847, 236761, 9920, 692, 735, 506, 1694, 236764, 3927, 573, 45847, 10916, 4596, 531, 623, 27671, 4993, 236775, 1699, 506, 3927, 29032, 1292, 236761, 1637, 1027, 2918, 20269, 236764, 6253, 6137, 618, 4354, 532, 2056, 1570, 236761, 3792, 236789, 236751, 1502, 607, 506, 1527, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2861, 1083, 236743, 236770, 236812, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38264, 616, 1083, 78493, 547, 1083, 623, 218071, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 27671, 4675, 23566, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 18146, 1854, 1083, 623, 27671, 9426, 23179, 3714, 547, 1083, 623, 218071, 236770, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 137388, 606, 4675, 18671, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 18146, 1854, 1083, 623, 236855, 236772, 236770, 236778, 14232, 18238, 23179, 3714, 547, 1083, 623, 218071, 236770, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 36177, 30354, 48429, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 18146, 1854, 1083, 623, 12553, 528, 9426, 25938, 1604, 623, 6725, 236779, 53247, 1083, 236743, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 53247, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 38264, 616, 1083, 78493, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236770, 236800, 236812, 827, 623, 1201, 1083, 623, 27671, 46627, 3287, 5295, 10498, 623, 7125, 1083, 623, 107305, 236764, 27608, 827, 623, 18146, 1854, 1083, 623, 236855, 236772, 236770, 236778, 56241, 25755, 6436, 827, 623, 11607, 1083, 623, 11607, 236940, 540, 31127, 4332, 3287, 236761, 854, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236778, 236828, 236832, 827, 623, 1201, 1083, 623, 45946, 59494, 6308, 827, 623, 7125, 1083, 623, 67784, 236764, 7883, 827, 623, 18146, 1854, 1083, 623, 46217, 4796, 14175, 827, 623, 11607, 1083, 623, 9442, 236940, 33856, 78360, 236761, 854, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236800, 236819, 236770, 827, 623, 1201, 1083, 623, 5044, 192890, 24694, 827, 623, 7125, 1083, 623, 49548, 236764, 15237, 827, 623, 18146, 1854, 1083, 623, 5044, 4993, 13283, 827, 623, 11607, 1083, 623, 3906, 236940, 747, 91393, 11932, 236761, 854, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236812, 236810, 236825, 827, 623, 1201, 1083, 623, 29235, 4675, 23566, 827, 623, 7125, 1083, 623, 23243, 14322, 236764, 8253, 827, 623, 18146, 1854, 1083, 623, 84930, 14175, 573, 7958, 827, 623, 11607, 1083, 623, 26377, 236940, 654, 3059, 95526, 236761, 2108, 23179, 3714, 68477, 236779, 547, 1083, 623, 218071, 236771, 236771, 236810, 236778, 236819, 827, 623, 1201, 1083, 623, 80401, 97765, 11032, 827, 623, 7125, 1083, 623, 154471, 236764, 2671, 827, 623, 18146, 1854, 1083, 623, 8410, 236772, 5140, 10630, 34332, 827, 623, 11607, 1083, 623, 101826, 28268, 236940, 80563, 198912, 236761, 2187, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 6725, 236779, 11134, 1083, 236743, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 699, 506, 56241, 4993, 29032, 3927, 236787, 108, 1018, 8534, 236743, 236810, 56241, 9426, 57792, 528, 506, 2590, 568, 4163, 236743, 236770, 529, 236743, 236810, 1473, 1018, 107, 236770, 236761, 5213, 27671, 46627, 3287, 5295, 99382, 138, 107, 139, 6375, 236787, 24278, 236764, 27608, 138, 107, 139, 23244, 1854, 236787, 751, 236772, 236770, 236778, 56241, 25755, 6436, 138, 107, 139, 11431, 236787, 3662, 236940, 540, 31127, 4332, 3287, 236761, 854, 138, 108, 236778, 236761, 5213, 45946, 59494, 6308, 1018, 138, 107, 139, 6375, 236787, 14850, 236764, 7883, 138, 107, 139, 23244, 1854, 236787, 31023, 4796, 14175, 138, 107, 139, 11431, 236787, 1894, 236940, 33856, 78360, 236761, 854, 138, 108, 236800, 236761, 5213, 5044, 192890, 24694, 1018, 138, 107, 139, 6375, 236787, 10561, 236764, 15237, 138, 107, 139, 23244, 1854, 236787, 6547, 4993, 13283, 138, 107, 139, 11431, 236787, 8283, 236940, 747, 91393, 11932, 236761, 854, 138, 108, 236812, 236761, 5213, 29235, 4675, 23566, 1018, 138, 107, 139, 6375, 236787, 5054, 14322, 236764, 8253, 138, 107, 139, 23244, 1854, 236787, 82032, 14175, 573, 7958, 138, 107, 139, 11431, 236787, 5886, 236940, 654, 3059, 95526, 236761, 2108, 138, 108, 236810, 236761, 5213, 80401, 97765, 11032, 1018, 138, 107, 139, 6375, 236787, 30856, 236764, 2671, 138, 107, 139, 23244, 1854, 236787, 7879, 236772, 5140, 10630, 34332, 138, 107, 139, 11431, 236787, 33000, 236940, 80563, 198912, 236761, 2187, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236772, 236743, 236812, 236778, 2558, 45847, 4241, 623, 27671, 4993, 236775, 138, 107, 236772, 21284, 611, 1133, 531, 11327, 4767, 7704, 568, 236778, 236772, 236810, 236768, 573, 919, 3835, 236881, 138, 107, 236772, 18975, 564, 59638, 506, 3927, 607, 1027, 18774, 568, 236744, 236761, 236759, 1126, 11398, 1984, 3213, 236764, 1698, 1722, 20625, 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, 1873, 6527, 529, 24242, 532, 49180, 236761, 3199, 611, 12270, 506, 6524, 1262, 573, 786, 236881, 564, 6827, 611, 1202, 531, 1161, 1070, 56918, 573, 25338, 2979, 236764, 840, 564, 236789, 236757, 711, 2889, 1217, 625, 784, 32407, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 4801, 4073, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 1516, 1083, 3714, 100725, 236786, 38556, 1083, 3714, 9707, 1083, 236743, 236825, 236778, 236812, 236810, 236771, 236761, 236778, 236810, 236764, 623, 39588, 1083, 623, 27118, 831, 827, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 623, 11480, 23179, 623, 19642, 236786, 38556, 1083, 3714, 9707, 1083, 236743, 236800, 236770, 236778, 236771, 236761, 236832, 236810, 236764, 623, 39588, 1083, 623, 44603, 5521, 827, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 623, 28602, 236775, 5237, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 40219, 1262, 52236, 699, 5905, 36582, 236761, 37341, 1149, 9729, 8427, 3418, 14175, 2779, 531, 2436, 3439, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 1262, 573, 24242, 568, 100725, 236768, 532, 49180, 568, 19642, 1473, 108, 1018, 76688, 568, 100725, 236786, 38556, 62902, 107, 236772, 5213, 11280, 66515, 609, 236825, 236778, 236764, 236812, 236810, 236771, 236761, 236778, 236810, 107, 236772, 5213, 55123, 66515, 102305, 107, 236772, 5213, 236778, 236812, 236754, 26036, 66515, 609, 236770, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 5213, 68058, 14475, 66515, 4819, 108, 1018, 159030, 568, 19642, 236786, 38556, 62902, 107, 236772, 5213, 11280, 66515, 609, 236800, 236764, 236770, 236778, 236771, 236761, 236832, 236810, 107, 236772, 5213, 55123, 66515, 140434, 107, 236772, 5213, 236778, 236812, 236754, 26036, 66515, 609, 236828, 236764, 236819, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 5213, 68058, 14475, 66515, 35202, 108, 236829, 2100, 31115, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 37341, 1149, 9729, 8427, 3418, 36582, 2779, 531, 2436, 3439, 9603, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 3530, 12376, 14491, 653, 11858, 1262, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1873, 6527, 529, 24242, 532, 49180, 236761, 3199, 611, 12270, 506, 6524, 1262, 573, 786, 236881, 564, 6827, 611, 1202, 531, 1161, 1070, 56918, 573, 25338, 2979, 236764, 840, 564, 236789, 236757, 711, 2889, 1217, 625, 784, 32407, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 4801, 4073, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 1516, 1083, 3714, 100725, 236786, 38556, 1083, 3714, 9707, 1083, 236743, 236825, 236778, 236812, 236810, 236771, 236761, 236778, 236810, 236764, 623, 39588, 1083, 623, 27118, 831, 827, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 623, 11480, 23179, 623, 19642, 236786, 38556, 1083, 3714, 9707, 1083, 236743, 236800, 236770, 236778, 236771, 236761, 236832, 236810, 236764, 623, 39588, 1083, 623, 44603, 5521, 827, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236771, 236771, 236764, 623, 22775, 14475, 236779, 8318, 1083, 623, 28602, 236775, 5237, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 40219, 1262, 52236, 699, 5905, 36582, 236761, 37341, 1149, 9729, 8427, 3418, 14175, 2779, 531, 2436, 3439, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 1262, 573, 24242, 568, 100725, 236768, 532, 49180, 568, 19642, 1473, 108, 1018, 76688, 568, 100725, 236786, 38556, 62902, 107, 236772, 5213, 11280, 66515, 609, 236825, 236778, 236764, 236812, 236810, 236771, 236761, 236778, 236810, 107, 236772, 5213, 55123, 66515, 102305, 107, 236772, 5213, 236778, 236812, 236754, 26036, 66515, 609, 236770, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 5213, 68058, 14475, 66515, 4819, 108, 1018, 159030, 568, 19642, 236786, 38556, 62902, 107, 236772, 5213, 11280, 66515, 609, 236800, 236764, 236770, 236778, 236771, 236761, 236832, 236810, 107, 236772, 5213, 55123, 66515, 140434, 107, 236772, 5213, 236778, 236812, 236754, 26036, 66515, 609, 236828, 236764, 236819, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 5213, 68058, 14475, 66515, 35202, 108, 236829, 2100, 31115, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 37341, 1149, 9729, 8427, 3418, 36582, 2779, 531, 2436, 3439, 9603, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 3530, 12376, 14491, 653, 11858, 1262, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 238631, 43320, 236764, 15300, 5883, 236888, 564, 236789, 236757, 2844, 580, 496, 861, 5886, 7545, 532, 1202, 1601, 32187, 1239, 4430, 9697, 13630, 564, 236789, 560, 10819, 236761, 2195, 236789, 500, 496, 6921, 529, 5422, 532, 14361, 236764, 532, 564, 1461, 531, 8701, 506, 1689, 22888, 532, 4331, 3298, 236761, 3199, 611, 1657, 672, 1262, 1699, 506, 14050, 236779, 236778, 236779, 236771, 5904, 236881, 7062, 4491, 236764, 564, 137177, 506, 1816, 528, 1041, 63939, 1390, 870, 9238, 5411, 1304, 18116, 236789, 236745, 3643, 11744, 506, 2129, 236842, 1390, 4293, 236764, 1531, 786, 9779, 625, 6077, 236787, 993, 659, 236743, 236770, 236810, 13630, 1003, 1698, 3325, 236764, 8341, 21238, 236764, 532, 21212, 10928, 236761, 8512, 12657, 4928, 756, 10258, 4166, 1438, 80719, 696, 862, 22412, 236789, 532, 756, 84339, 30583, 2157, 775, 7391, 7085, 2088, 776, 564, 6060, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 51996, 1083, 78493, 2491, 1083, 623, 5930, 5646, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 31493, 1083, 78493, 2084, 1083, 623, 26890, 827, 623, 2394, 1083, 623, 147102, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 2084, 1083, 623, 89653, 236779, 145526, 827, 623, 2394, 1083, 623, 16602, 13682, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236778, 200808, 3714, 2491, 1083, 623, 15276, 2256, 827, 623, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 31493, 1083, 78493, 2084, 1083, 623, 27368, 827, 623, 2394, 1083, 623, 26890, 3004, 12126, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236828, 15947, 104960, 623, 19859, 1083, 623, 507, 827, 623, 23046, 236779, 21052, 1083, 3714, 83576, 3535, 236779, 28263, 1083, 1847, 236764, 623, 108414, 236779, 197494, 155306, 1083, 623, 190230, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 23179, 623, 126775, 1083, 3714, 235710, 1083, 623, 27851, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236819, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 51996, 1083, 78493, 2491, 1083, 623, 58582, 7106, 1004, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 2084, 1083, 623, 43510, 23179, 3714, 2491, 1083, 623, 5950, 119002, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 2084, 1083, 623, 62580, 23179, 3714, 2491, 1083, 623, 4153, 4884, 8813, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 2084, 1083, 623, 6875, 25938, 1604, 623, 2478, 236779, 31493, 1083, 11058, 84339, 827, 623, 7796, 1004, 827, 623, 44679, 827, 623, 13769, 827, 623, 23019, 4100, 14255, 623, 108414, 236779, 28263, 1083, 3714, 126775, 1083, 623, 27851, 827, 623, 80384, 1083, 623, 11480, 827, 623, 3284, 14757, 236779, 129512, 1083, 11058, 84339, 30583, 621, 236756, 236778, 236770, 236819, 236778, 4430, 3967, 827, 623, 214144, 4342, 621, 236756, 236778, 236770, 236819, 236778, 10471, 4100, 152254, 623, 21052, 1083, 3714, 19859, 1083, 623, 501, 827, 623, 23046, 236779, 9074, 1083, 623, 190230, 827, 623, 11102, 236759, 236779, 28263, 1083, 3714, 85531, 236779, 53265, 1083, 11058, 236819, 236761, 236770, 236761, 236770, 568, 4153, 4884, 12308, 22730, 623, 236770, 236778, 236761, 236763, 236761, 236770, 568, 38168, 6733, 236768, 1935, 19465, 106, 107, 105, 4368, 107, 22515, 580, 506, 3671, 529, 822, 4970, 1816, 1262, 236764, 1590, 236789, 236751, 496, 45217, 16823, 529, 506, 4430, 9697, 22888, 236787, 108, 1018, 7163, 19779, 43163, 568, 80353, 105937, 1473, 1018, 107, 236772, 21264, 4561, 236787, 7303, 5646, 568, 236819, 236778, 236908, 36787, 236768, 107, 138, 236772, 20907, 4186, 236787, 76263, 31081, 3004, 568, 236828, 236828, 236908, 36787, 236768, 107, 138, 236772, 5554, 21255, 236787, 51508, 2404, 13682, 568, 236828, 236778, 236908, 36787, 236768, 107, 236772, 43052, 3325, 4561, 236787, 20907, 3004, 12126, 568, 236832, 236828, 236908, 36787, 236768, 108, 1018, 65787, 74812, 33883, 568, 27832, 105937, 1473, 1018, 107, 236772, 43669, 4186, 236787, 36585, 30583, 568, 236819, 236778, 236908, 10805, 236768, 107, 138, 236772, 7449, 4100, 236787, 19908, 27215, 3967, 568, 236828, 236810, 236908, 10805, 236768, 107, 138, 236772, 91417, 4403, 236787, 74812, 3997, 8991, 568, 236832, 236828, 236908, 10805, 236768, 107, 236772, 154550, 9994, 8385, 236787, 107, 138, 236772, 36585, 30583, 5467, 12809, 531, 4430, 3967, 107, 138, 236772, 91417, 180260, 21574, 10471, 108, 1018, 201430, 573, 16234, 34428, 53121, 107, 236770, 236761, 7303, 16661, 97993, 107, 139, 236772, 22282, 77372, 27713, 30981, 531, 3421, 7395, 3004, 10928, 107, 139, 236772, 6521, 3582, 7283, 5417, 1003, 5646, 28463, 108, 236778, 236761, 74812, 62840, 107, 139, 236772, 41276, 8341, 16074, 3797, 607, 4430, 19144, 4065, 107, 139, 236772, 8600, 83158, 6614, 573, 12631, 30583, 607, 15880, 28463, 108, 236800, 236761, 19908, 119002, 179287, 107, 139, 236772, 6521, 32192, 6607, 607, 2509, 236772, 5909, 36369, 107, 139, 236772, 48741, 53591, 7283, 13199, 573, 1900, 4981, 12496, 108, 818, 3671, 3831, 3188, 5676, 27078, 568, 236828, 236819, 236908, 5676, 63870, 236768, 607, 1494, 1960, 4100, 14496, 236761, 158189, 1239, 4331, 3298, 1451, 8792, 4006, 4430, 17681, 532, 27215, 236761, 21284, 611, 1133, 786, 531, 1601, 1668, 3530, 2970, 6614, 573, 1027, 529, 1239, 4106, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 238631, 43320, 236764, 15300, 5883, 236888, 564, 236789, 236757, 2844, 580, 496, 861, 5886, 7545, 532, 1202, 1601, 32187, 1239, 4430, 9697, 13630, 564, 236789, 560, 10819, 236761, 2195, 236789, 500, 496, 6921, 529, 5422, 532, 14361, 236764, 532, 564, 1461, 531, 8701, 506, 1689, 22888, 532, 4331, 3298, 236761, 3199, 611, 1657, 672, 1262, 1699, 506, 14050, 236779, 236778, 236779, 236771, 5904, 236881, 7062, 4491, 236764, 564, 137177, 506, 1816, 528, 1041, 63939, 1390, 870, 9238, 5411, 1304, 18116, 236789, 236745, 3643, 11744, 506, 2129, 236842, 1390, 4293, 236764, 1531, 786, 9779, 625, 6077, 236787, 993, 659, 236743, 236770, 236810, 13630, 1003, 1698, 3325, 236764, 8341, 21238, 236764, 532, 21212, 10928, 236761, 8512, 12657, 4928, 756, 10258, 4166, 1438, 80719, 696, 862, 22412, 236789, 532, 756, 84339, 30583, 2157, 775, 7391, 7085, 2088, 776, 564, 6060, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 51996, 1083, 78493, 2491, 1083, 623, 5930, 5646, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 31493, 1083, 78493, 2084, 1083, 623, 26890, 827, 623, 2394, 1083, 623, 147102, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 2084, 1083, 623, 89653, 236779, 145526, 827, 623, 2394, 1083, 623, 16602, 13682, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236778, 200808, 3714, 2491, 1083, 623, 15276, 2256, 827, 623, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 31493, 1083, 78493, 2084, 1083, 623, 27368, 827, 623, 2394, 1083, 623, 26890, 3004, 12126, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236828, 15947, 104960, 623, 19859, 1083, 623, 507, 827, 623, 23046, 236779, 21052, 1083, 3714, 83576, 3535, 236779, 28263, 1083, 1847, 236764, 623, 108414, 236779, 197494, 155306, 1083, 623, 190230, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 23179, 623, 126775, 1083, 3714, 235710, 1083, 623, 27851, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236819, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 51996, 1083, 78493, 2491, 1083, 623, 58582, 7106, 1004, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 2084, 1083, 623, 43510, 23179, 3714, 2491, 1083, 623, 5950, 119002, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 2084, 1083, 623, 62580, 23179, 3714, 2491, 1083, 623, 4153, 4884, 8813, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 2084, 1083, 623, 6875, 25938, 1604, 623, 2478, 236779, 31493, 1083, 11058, 84339, 827, 623, 7796, 1004, 827, 623, 44679, 827, 623, 13769, 827, 623, 23019, 4100, 14255, 623, 108414, 236779, 28263, 1083, 3714, 126775, 1083, 623, 27851, 827, 623, 80384, 1083, 623, 11480, 827, 623, 3284, 14757, 236779, 129512, 1083, 11058, 84339, 30583, 621, 236756, 236778, 236770, 236819, 236778, 4430, 3967, 827, 623, 214144, 4342, 621, 236756, 236778, 236770, 236819, 236778, 10471, 4100, 152254, 623, 21052, 1083, 3714, 19859, 1083, 623, 501, 827, 623, 23046, 236779, 9074, 1083, 623, 190230, 827, 623, 11102, 236759, 236779, 28263, 1083, 3714, 85531, 236779, 53265, 1083, 11058, 236819, 236761, 236770, 236761, 236770, 568, 4153, 4884, 12308, 22730, 623, 236770, 236778, 236761, 236763, 236761, 236770, 568, 38168, 6733, 236768, 1935, 19465, 106, 107, 105, 4368, 107, 22515, 580, 506, 3671, 529, 822, 4970, 1816, 1262, 236764, 1590, 236789, 236751, 496, 45217, 16823, 529, 506, 4430, 9697, 22888, 236787, 108, 1018, 7163, 19779, 43163, 568, 80353, 105937, 1473, 1018, 107, 236772, 21264, 4561, 236787, 7303, 5646, 568, 236819, 236778, 236908, 36787, 236768, 107, 138, 236772, 20907, 4186, 236787, 76263, 31081, 3004, 568, 236828, 236828, 236908, 36787, 236768, 107, 138, 236772, 5554, 21255, 236787, 51508, 2404, 13682, 568, 236828, 236778, 236908, 36787, 236768, 107, 236772, 43052, 3325, 4561, 236787, 20907, 3004, 12126, 568, 236832, 236828, 236908, 36787, 236768, 108, 1018, 65787, 74812, 33883, 568, 27832, 105937, 1473, 1018, 107, 236772, 43669, 4186, 236787, 36585, 30583, 568, 236819, 236778, 236908, 10805, 236768, 107, 138, 236772, 7449, 4100, 236787, 19908, 27215, 3967, 568, 236828, 236810, 236908, 10805, 236768, 107, 138, 236772, 91417, 4403, 236787, 74812, 3997, 8991, 568, 236832, 236828, 236908, 10805, 236768, 107, 236772, 154550, 9994, 8385, 236787, 107, 138, 236772, 36585, 30583, 5467, 12809, 531, 4430, 3967, 107, 138, 236772, 91417, 180260, 21574, 10471, 108, 1018, 201430, 573, 16234, 34428, 53121, 107, 236770, 236761, 7303, 16661, 97993, 107, 139, 236772, 22282, 77372, 27713, 30981, 531, 3421, 7395, 3004, 10928, 107, 139, 236772, 6521, 3582, 7283, 5417, 1003, 5646, 28463, 108, 236778, 236761, 74812, 62840, 107, 139, 236772, 41276, 8341, 16074, 3797, 607, 4430, 19144, 4065, 107, 139, 236772, 8600, 83158, 6614, 573, 12631, 30583, 607, 15880, 28463, 108, 236800, 236761, 19908, 119002, 179287, 107, 139, 236772, 6521, 32192, 6607, 607, 2509, 236772, 5909, 36369, 107, 139, 236772, 48741, 53591, 7283, 13199, 573, 1900, 4981, 12496, 108, 818, 3671, 3831, 3188, 5676, 27078, 568, 236828, 236819, 236908, 5676, 63870, 236768, 607, 1494, 1960, 4100, 14496, 236761, 158189, 1239, 4331, 3298, 1451, 8792, 4006, 4430, 17681, 532, 27215, 236761, 21284, 611, 1133, 786, 531, 1601, 1668, 3530, 2970, 6614, 573, 1027, 529, 1239, 4106, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 3551, 60898, 236789, 236751, 12089, 563, 4891, 872, 236764, 532, 668, 236789, 236751, 2126, 1131, 1091, 45132, 37823, 236761, 564, 1461, 531, 974, 1515, 2613, 1535, 236764, 840, 564, 1537, 236789, 236745, 1281, 784, 506, 861, 19293, 236761, 564, 1202, 496, 1694, 529, 4913, 7723, 2970, 653, 19063, 3605, 600, 659, 2523, 236772, 18865, 236761, 3199, 611, 1601, 786, 855, 236881, 564, 5630, 1041, 53276, 657, 981, 6950, 2613, 1003, 756, 9503, 32836, 236789, 573, 1239, 2432, 236764, 840, 564, 236789, 236757, 919, 529, 496, 61743, 236772, 887, 497, 7564, 236761, 5393, 1386, 2889, 625, 236789, 236751, 19372, 684, 24711, 834, 564, 1537, 236789, 236745, 1345, 872, 11691, 1515, 1070, 36989, 7305, 24063, 20838, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236757, 17976, 236779, 2234, 1083, 78493, 3250, 1083, 623, 4754, 24780, 78589, 827, 623, 6386, 1083, 623, 42214, 89790, 11360, 727, 33809, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 12666, 18076, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236764, 623, 7777, 1083, 623, 236776, 49253, 4891, 236772, 1340, 236772, 676, 3925, 1076, 528, 496, 1902, 1298, 1346, 1331, 735, 179760, 221476, 3714, 3250, 1083, 623, 102567, 149820, 236787, 13134, 140219, 951, 20854, 21743, 827, 623, 6386, 1083, 623, 236855, 1088, 1810, 23837, 26660, 202562, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 124977, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236770, 236778, 236800, 236812, 236810, 236764, 623, 7777, 1083, 623, 236776, 6938, 236789, 236751, 1835, 531, 5383, 914, 12198, 532, 22182, 66262, 528, 13872, 114558, 236772, 1741, 6056, 221476, 3714, 3250, 1083, 623, 80488, 6866, 204120, 37476, 827, 623, 6386, 1083, 623, 31560, 19915, 75799, 75213, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 179044, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236832, 236825, 236810, 236812, 236800, 236764, 623, 7777, 1083, 623, 818, 28744, 89873, 19063, 529, 96829, 42165, 597, 7782, 24284, 914, 1902, 699, 24798, 221476, 3714, 3250, 1083, 623, 236811, 17643, 54482, 827, 623, 6386, 1083, 623, 174314, 72064, 3897, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 179044, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236778, 236770, 236771, 236819, 236828, 236764, 623, 7777, 1083, 623, 236776, 51589, 529, 193384, 125100, 580, 30520, 101100, 1651, 18911, 51359, 14558, 221476, 3714, 3250, 1083, 623, 818, 232207, 15428, 1591, 827, 623, 6386, 1083, 623, 137908, 236756, 47902, 1389, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 234309, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236825, 236810, 236812, 236800, 236778, 236764, 623, 7777, 1083, 623, 3524, 100867, 162984, 4996, 31156, 1651, 54478, 531, 14317, 496, 199559, 10056, 1781, 104960, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2305, 236779, 3278, 1083, 623, 10774, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 14255, 623, 4818, 1083, 623, 40812, 23179, 623, 10479, 236779, 8194, 1083, 3714, 10479, 236779, 2003, 1083, 623, 228652, 827, 623, 10479, 236779, 2400, 1083, 623, 18819, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 4913, 7723, 2970, 236786, 127166, 45132, 3605, 600, 659, 6816, 2523, 236772, 18865, 236764, 19372, 684, 24711, 618, 15633, 236787, 108, 236770, 236761, 5213, 4754, 24780, 78589, 1018, 568, 69694, 665, 236787, 236743, 236819, 236828, 236832, 236764, 236825, 236810, 236812, 236768, 138, 107, 139, 236829, 236776, 49253, 4891, 236772, 1340, 236772, 676, 3925, 236829, 138, 107, 139, 181593, 22888, 607, 496, 3213, 580, 64224, 532, 94653, 236761, 8098, 573, 15036, 15021, 236761, 108, 236778, 236761, 5213, 102567, 149820, 236787, 13134, 140219, 951, 20854, 21743, 1018, 568, 69694, 665, 236787, 236743, 236819, 236770, 236778, 236764, 236800, 236812, 236810, 236768, 138, 107, 139, 236829, 27099, 114558, 236772, 1741, 5398, 236772, 2942, 97698, 19063, 236829, 138, 107, 139, 6942, 1755, 19282, 607, 18487, 2970, 840, 992, 161442, 22888, 529, 2523, 32192, 236761, 108, 236800, 236761, 5213, 80488, 6866, 204120, 37476, 1018, 568, 69694, 665, 236787, 236743, 236828, 236832, 236825, 236764, 236810, 236812, 236800, 236768, 138, 107, 139, 236829, 130254, 89873, 36229, 236829, 138, 107, 139, 236776, 9760, 3605, 1003, 27147, 532, 60551, 236761, 76843, 1070, 18790, 13168, 840, 12865, 4542, 9989, 236772, 18865, 236761, 108, 236812, 236761, 5213, 236811, 17643, 54482, 1018, 568, 69694, 665, 236787, 236743, 236828, 236778, 236770, 236764, 236771, 236819, 236828, 236768, 138, 107, 139, 236829, 22092, 800, 51589, 36229, 236829, 138, 107, 139, 12098, 59139, 27646, 607, 139130, 13144, 532, 3188, 14558, 1534, 7579, 236761, 108, 236810, 236761, 5213, 818, 232207, 15428, 1591, 1018, 568, 69694, 665, 236787, 236743, 236832, 236825, 236810, 236764, 236812, 236800, 236778, 236768, 138, 107, 139, 236829, 110474, 7509, 14317, 3925, 236829, 138, 107, 139, 8409, 45356, 528, 47708, 568, 173146, 14317, 507, 7728, 236761, 64494, 50879, 779, 625, 236789, 236751, 2036, 3911, 236772, 33562, 573, 9862, 6214, 607, 49749, 14984, 236761, 108, 3243, 19293, 659, 7723, 3605, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 236764, 653, 1374, 564, 3972, 236772, 4256, 3004, 153619, 573, 496, 3530, 3911, 2644, 236881, 669, 623, 9503, 32836, 236775, 611, 6950, 2473, 577, 45132, 26309, 653, 29444, 6249, 236764, 837, 564, 740, 992, 1601, 29888, 768, 4354, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 3551, 60898, 236789, 236751, 12089, 563, 4891, 872, 236764, 532, 668, 236789, 236751, 2126, 1131, 1091, 45132, 37823, 236761, 564, 1461, 531, 974, 1515, 2613, 1535, 236764, 840, 564, 1537, 236789, 236745, 1281, 784, 506, 861, 19293, 236761, 564, 1202, 496, 1694, 529, 4913, 7723, 2970, 653, 19063, 3605, 600, 659, 2523, 236772, 18865, 236761, 3199, 611, 1601, 786, 855, 236881, 564, 5630, 1041, 53276, 657, 981, 6950, 2613, 1003, 756, 9503, 32836, 236789, 573, 1239, 2432, 236764, 840, 564, 236789, 236757, 919, 529, 496, 61743, 236772, 887, 497, 7564, 236761, 5393, 1386, 2889, 625, 236789, 236751, 19372, 684, 24711, 834, 564, 1537, 236789, 236745, 1345, 872, 11691, 1515, 1070, 36989, 7305, 24063, 20838, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236757, 17976, 236779, 2234, 1083, 78493, 3250, 1083, 623, 4754, 24780, 78589, 827, 623, 6386, 1083, 623, 42214, 89790, 11360, 727, 33809, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 12666, 18076, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236764, 623, 7777, 1083, 623, 236776, 49253, 4891, 236772, 1340, 236772, 676, 3925, 1076, 528, 496, 1902, 1298, 1346, 1331, 735, 179760, 221476, 3714, 3250, 1083, 623, 102567, 149820, 236787, 13134, 140219, 951, 20854, 21743, 827, 623, 6386, 1083, 623, 236855, 1088, 1810, 23837, 26660, 202562, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 124977, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236770, 236778, 236800, 236812, 236810, 236764, 623, 7777, 1083, 623, 236776, 6938, 236789, 236751, 1835, 531, 5383, 914, 12198, 532, 22182, 66262, 528, 13872, 114558, 236772, 1741, 6056, 221476, 3714, 3250, 1083, 623, 80488, 6866, 204120, 37476, 827, 623, 6386, 1083, 623, 31560, 19915, 75799, 75213, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 179044, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236832, 236825, 236810, 236812, 236800, 236764, 623, 7777, 1083, 623, 818, 28744, 89873, 19063, 529, 96829, 42165, 597, 7782, 24284, 914, 1902, 699, 24798, 221476, 3714, 3250, 1083, 623, 236811, 17643, 54482, 827, 623, 6386, 1083, 623, 174314, 72064, 3897, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 179044, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236778, 236770, 236771, 236819, 236828, 236764, 623, 7777, 1083, 623, 236776, 51589, 529, 193384, 125100, 580, 30520, 101100, 1651, 18911, 51359, 14558, 221476, 3714, 3250, 1083, 623, 818, 232207, 15428, 1591, 827, 623, 6386, 1083, 623, 137908, 236756, 47902, 1389, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 827, 623, 234309, 14255, 623, 119789, 236779, 4818, 1083, 623, 40812, 827, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236825, 236810, 236812, 236800, 236778, 236764, 623, 7777, 1083, 623, 3524, 100867, 162984, 4996, 31156, 1651, 54478, 531, 14317, 496, 199559, 10056, 1781, 104960, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2305, 236779, 3278, 1083, 623, 10774, 827, 623, 109355, 1083, 11058, 2064, 827, 623, 127166, 14255, 623, 4818, 1083, 623, 40812, 23179, 623, 10479, 236779, 8194, 1083, 3714, 10479, 236779, 2003, 1083, 623, 228652, 827, 623, 10479, 236779, 2400, 1083, 623, 18819, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 4913, 7723, 2970, 236786, 127166, 45132, 3605, 600, 659, 6816, 2523, 236772, 18865, 236764, 19372, 684, 24711, 618, 15633, 236787, 108, 236770, 236761, 5213, 4754, 24780, 78589, 1018, 568, 69694, 665, 236787, 236743, 236819, 236828, 236832, 236764, 236825, 236810, 236812, 236768, 138, 107, 139, 236829, 236776, 49253, 4891, 236772, 1340, 236772, 676, 3925, 236829, 138, 107, 139, 181593, 22888, 607, 496, 3213, 580, 64224, 532, 94653, 236761, 8098, 573, 15036, 15021, 236761, 108, 236778, 236761, 5213, 102567, 149820, 236787, 13134, 140219, 951, 20854, 21743, 1018, 568, 69694, 665, 236787, 236743, 236819, 236770, 236778, 236764, 236800, 236812, 236810, 236768, 138, 107, 139, 236829, 27099, 114558, 236772, 1741, 5398, 236772, 2942, 97698, 19063, 236829, 138, 107, 139, 6942, 1755, 19282, 607, 18487, 2970, 840, 992, 161442, 22888, 529, 2523, 32192, 236761, 108, 236800, 236761, 5213, 80488, 6866, 204120, 37476, 1018, 568, 69694, 665, 236787, 236743, 236828, 236832, 236825, 236764, 236810, 236812, 236800, 236768, 138, 107, 139, 236829, 130254, 89873, 36229, 236829, 138, 107, 139, 236776, 9760, 3605, 1003, 27147, 532, 60551, 236761, 76843, 1070, 18790, 13168, 840, 12865, 4542, 9989, 236772, 18865, 236761, 108, 236812, 236761, 5213, 236811, 17643, 54482, 1018, 568, 69694, 665, 236787, 236743, 236828, 236778, 236770, 236764, 236771, 236819, 236828, 236768, 138, 107, 139, 236829, 22092, 800, 51589, 36229, 236829, 138, 107, 139, 12098, 59139, 27646, 607, 139130, 13144, 532, 3188, 14558, 1534, 7579, 236761, 108, 236810, 236761, 5213, 818, 232207, 15428, 1591, 1018, 568, 69694, 665, 236787, 236743, 236832, 236825, 236810, 236764, 236812, 236800, 236778, 236768, 138, 107, 139, 236829, 110474, 7509, 14317, 3925, 236829, 138, 107, 139, 8409, 45356, 528, 47708, 568, 173146, 14317, 507, 7728, 236761, 64494, 50879, 779, 625, 236789, 236751, 2036, 3911, 236772, 33562, 573, 9862, 6214, 607, 49749, 14984, 236761, 108, 3243, 19293, 659, 7723, 3605, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 236764, 653, 1374, 564, 3972, 236772, 4256, 3004, 153619, 573, 496, 3530, 3911, 2644, 236881, 669, 623, 9503, 32836, 236775, 611, 6950, 2473, 577, 45132, 26309, 653, 29444, 6249, 236764, 837, 564, 740, 992, 1601, 29888, 768, 4354, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3407, 37677, 2249, 1262, 573, 506, 4253, 756, 21254, 236761, 854, 6748, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 37677, 2249, 38485, 5904, 528, 1041, 1873, 15858, 236761, 669, 2487, 6436, 1186, 1894, 236787, 107, 236770, 236761, 23386, 15048, 1938, 38485, 107, 236778, 236761, 23386, 1548, 15903, 38485, 107, 236800, 236761, 10710, 3421, 1938, 38485, 108, 3048, 236789, 859, 1202, 531, 1161, 496, 11554, 37677, 2249, 2509, 653, 8610, 70325, 5904, 531, 974, 37677, 2249, 1262, 573, 756, 21254, 236761, 854, 6748, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3407, 37677, 2249, 1262, 573, 506, 4253, 756, 21254, 236761, 854, 6748, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 37677, 2249, 38485, 5904, 528, 1041, 1873, 15858, 236761, 669, 2487, 6436, 1186, 1894, 236787, 107, 236770, 236761, 23386, 15048, 1938, 38485, 107, 236778, 236761, 23386, 1548, 15903, 38485, 107, 236800, 236761, 10710, 3421, 1938, 38485, 108, 3048, 236789, 859, 1202, 531, 1161, 496, 11554, 37677, 2249, 2509, 653, 8610, 70325, 5904, 531, 974, 37677, 2249, 1262, 573, 756, 21254, 236761, 854, 6748, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 30493, 496, 3399, 2460, 573, 506, 62457, 3399, 528, 155851, 236764, 19541, 580, 9226, 8770, 1343, 2780, 236764, 4252, 236764, 532, 26100, 236761, 3792, 236789, 236751, 2541, 672, 1679, 2918, 684, 2918, 236761, 5315, 236764, 564, 1461, 531, 5039, 496, 5213, 80353, 236772, 19859, 1816, 3618, 1018, 531, 1041, 7157, 2434, 529, 21736, 568, 1184, 236789, 236751, 1879, 236743, 236810, 2307, 3295, 236768, 531, 9128, 910, 15830, 573, 496, 6995, 5395, 236761, 669, 3618, 1374, 2679, 1091, 531, 15148, 607, 910, 12373, 990, 10855, 699, 1806, 3835, 564, 2847, 236787, 2148, 9863, 657, 236743, 236825, 8711, 236764, 9853, 657, 236743, 236832, 8711, 236764, 653, 8224, 657, 236743, 236770, 236771, 8151, 236761, 9920, 564, 974, 910, 13630, 236764, 564, 236858, 859, 1202, 531, 96820, 506, 5395, 990, 532, 5213, 5738, 496, 26093, 2471, 1018, 568, 236746, 12815, 61381, 607, 2460, 4889, 236768, 531, 506, 4251, 3399, 2299, 11184, 236761, 669, 61381, 1374, 3204, 506, 9949, 990, 236764, 4563, 568, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 779, 532, 496, 5433, 10980, 40303, 531, 3437, 6672, 19292, 653, 4252, 19205, 236761, 3199, 611, 6060, 672, 236881, 9187, 607, 506, 1171, 2918, 236787, 12262, 532, 5039, 506, 4068, 1816, 531, 506, 21736, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 179190, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 4818, 1083, 623, 15266, 827, 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, 818, 4068, 14361, 1816, 3618, 815, 1010, 10428, 3265, 531, 822, 7157, 2434, 529, 21736, 236761, 669, 3618, 19565, 1091, 531, 15148, 607, 910, 12373, 990, 10855, 699, 506, 1806, 3835, 3847, 236761, 236743, 108, 14946, 611, 5908, 910, 13630, 236764, 5091, 4024, 506, 12373, 990, 26870, 607, 786, 236764, 532, 564, 795, 1601, 611, 96820, 506, 5395, 990, 532, 11006, 506, 26093, 61381, 573, 506, 3399, 2299, 11184, 236761, 106, 107, 105, 2364, 107, 818, 21736, 735, 21889, 607, 910, 22195, 236787, 753, 5213, 54904, 657, 236743, 236832, 8711, 66515, 236743, 236800, 3295, 568, 104779, 236768, 753, 5213, 55703, 657, 236743, 236825, 8711, 66515, 236743, 236770, 4374, 753, 5213, 46325, 657, 236743, 236770, 236771, 8151, 66515, 236743, 236770, 4374, 7323, 96820, 506, 5395, 990, 618, 5213, 54904, 657, 236743, 236832, 8711, 1018, 532, 11006, 506, 26093, 61381, 607, 672, 8052, 236761, 12213, 506, 4563, 167043, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 119542, 532, 506, 5433, 10980, 40303, 531, 3437, 6672, 19292, 653, 4252, 19205, 236761, 9920, 506, 61381, 563, 5508, 236764, 5039, 625, 531, 506, 4251, 3399, 2299, 11184, 1699, 506, 5213, 5738, 236779, 3304, 1018, 5904, 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, 1779, 3265, 531, 3399, 2299, 11184, 827, 623, 3304, 236779, 13308, 1083, 3714, 5939, 1083, 623, 78951, 827, 623, 2086, 1083, 623, 236770, 236761, 236778, 11792, 827, 623, 3955, 236779, 6011, 1083, 623, 63157, 497, 607, 2460, 4889, 236787, 25402, 990, 568, 54904, 657, 236743, 236832, 8711, 779, 4563, 568, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 779, 532, 2864, 573, 6672, 19292, 236786, 26873, 19205, 23179, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 26093, 61381, 815, 1010, 10428, 3265, 531, 506, 3399, 2299, 11184, 607, 506, 90152, 5395, 4889, 236787, 138, 107, 1018, 54904, 657, 236743, 236832, 8711, 1018, 657, 506, 5213, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 125546, 2440, 506, 2864, 573, 40303, 531, 3437, 6672, 19292, 653, 4252, 19205, 236761, 138, 108, 4602, 993, 4658, 1663, 611, 236789, 236753, 1133, 531, 776, 236881, 1701, 2591, 236787, 138, 107, 236772, 20373, 496, 32272, 12532, 531, 506, 2460, 138, 107, 236772, 8600, 496, 1500, 236772, 1048, 3618, 573, 506, 6995, 5395, 138, 107, 236772, 50514, 4767, 5417, 573, 506, 2460, 568, 236744, 236761, 236759, 1126, 496, 44262, 653, 15028, 236772, 58205, 2354, 236768, 138, 108, 6481, 786, 1281, 1217, 564, 740, 6361, 3342, 236888, 204906, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 30493, 496, 3399, 2460, 573, 506, 62457, 3399, 528, 155851, 236764, 19541, 580, 9226, 8770, 1343, 2780, 236764, 4252, 236764, 532, 26100, 236761, 3792, 236789, 236751, 2541, 672, 1679, 2918, 684, 2918, 236761, 5315, 236764, 564, 1461, 531, 5039, 496, 5213, 80353, 236772, 19859, 1816, 3618, 1018, 531, 1041, 7157, 2434, 529, 21736, 568, 1184, 236789, 236751, 1879, 236743, 236810, 2307, 3295, 236768, 531, 9128, 910, 15830, 573, 496, 6995, 5395, 236761, 669, 3618, 1374, 2679, 1091, 531, 15148, 607, 910, 12373, 990, 10855, 699, 1806, 3835, 564, 2847, 236787, 2148, 9863, 657, 236743, 236825, 8711, 236764, 9853, 657, 236743, 236832, 8711, 236764, 653, 8224, 657, 236743, 236770, 236771, 8151, 236761, 9920, 564, 974, 910, 13630, 236764, 564, 236858, 859, 1202, 531, 96820, 506, 5395, 990, 532, 5213, 5738, 496, 26093, 2471, 1018, 568, 236746, 12815, 61381, 607, 2460, 4889, 236768, 531, 506, 4251, 3399, 2299, 11184, 236761, 669, 61381, 1374, 3204, 506, 9949, 990, 236764, 4563, 568, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 779, 532, 496, 5433, 10980, 40303, 531, 3437, 6672, 19292, 653, 4252, 19205, 236761, 3199, 611, 6060, 672, 236881, 9187, 607, 506, 1171, 2918, 236787, 12262, 532, 5039, 506, 4068, 1816, 531, 506, 21736, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 179190, 236819, 236828, 236832, 236825, 236810, 236812, 827, 623, 4818, 1083, 623, 15266, 827, 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, 818, 4068, 14361, 1816, 3618, 815, 1010, 10428, 3265, 531, 822, 7157, 2434, 529, 21736, 236761, 669, 3618, 19565, 1091, 531, 15148, 607, 910, 12373, 990, 10855, 699, 506, 1806, 3835, 3847, 236761, 236743, 108, 14946, 611, 5908, 910, 13630, 236764, 5091, 4024, 506, 12373, 990, 26870, 607, 786, 236764, 532, 564, 795, 1601, 611, 96820, 506, 5395, 990, 532, 11006, 506, 26093, 61381, 573, 506, 3399, 2299, 11184, 236761, 106, 107, 105, 2364, 107, 818, 21736, 735, 21889, 607, 910, 22195, 236787, 753, 5213, 54904, 657, 236743, 236832, 8711, 66515, 236743, 236800, 3295, 568, 104779, 236768, 753, 5213, 55703, 657, 236743, 236825, 8711, 66515, 236743, 236770, 4374, 753, 5213, 46325, 657, 236743, 236770, 236771, 8151, 66515, 236743, 236770, 4374, 7323, 96820, 506, 5395, 990, 618, 5213, 54904, 657, 236743, 236832, 8711, 1018, 532, 11006, 506, 26093, 61381, 607, 672, 8052, 236761, 12213, 506, 4563, 167043, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 119542, 532, 506, 5433, 10980, 40303, 531, 3437, 6672, 19292, 653, 4252, 19205, 236761, 9920, 506, 61381, 563, 5508, 236764, 5039, 625, 531, 506, 4251, 3399, 2299, 11184, 1699, 506, 5213, 5738, 236779, 3304, 1018, 5904, 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, 1779, 3265, 531, 3399, 2299, 11184, 827, 623, 3304, 236779, 13308, 1083, 3714, 5939, 1083, 623, 78951, 827, 623, 2086, 1083, 623, 236770, 236761, 236778, 11792, 827, 623, 3955, 236779, 6011, 1083, 623, 63157, 497, 607, 2460, 4889, 236787, 25402, 990, 568, 54904, 657, 236743, 236832, 8711, 779, 4563, 568, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 779, 532, 2864, 573, 6672, 19292, 236786, 26873, 19205, 23179, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 26093, 61381, 815, 1010, 10428, 3265, 531, 506, 3399, 2299, 11184, 607, 506, 90152, 5395, 4889, 236787, 138, 107, 1018, 54904, 657, 236743, 236832, 8711, 1018, 657, 506, 5213, 82906, 2235, 11493, 6022, 236764, 18120, 236743, 236800, 236799, 125546, 2440, 506, 2864, 573, 40303, 531, 3437, 6672, 19292, 653, 4252, 19205, 236761, 138, 108, 4602, 993, 4658, 1663, 611, 236789, 236753, 1133, 531, 776, 236881, 1701, 2591, 236787, 138, 107, 236772, 20373, 496, 32272, 12532, 531, 506, 2460, 138, 107, 236772, 8600, 496, 1500, 236772, 1048, 3618, 573, 506, 6995, 5395, 138, 107, 236772, 50514, 4767, 5417, 573, 506, 2460, 568, 236744, 236761, 236759, 1126, 496, 44262, 653, 15028, 236772, 58205, 2354, 236768, 138, 108, 6481, 786, 1281, 1217, 564, 740, 6361, 3342, 236888, 204906, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 1903, 236743, 236810, 36813, 1938, 1003, 506, 94648, 25822, 3008, 607, 3361, 4852, 236764, 4876, 236764, 532, 15375, 607, 4187, 9851, 699, 24612, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 24612, 236789, 236751, 9299, 653, 496, 2870, 4108, 3927, 5904, 531, 33205, 672, 1938, 236761, 669, 2487, 6436, 1186, 2174, 8582, 34369, 532, 2471, 8052, 1385, 11303, 4323, 40035, 10252, 236761, 21284, 611, 1133, 786, 531, 1161, 886, 529, 1239, 6436, 5205, 236764, 653, 59638, 822, 2864, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 1903, 236743, 236810, 36813, 1938, 1003, 506, 94648, 25822, 3008, 607, 3361, 4852, 236764, 4876, 236764, 532, 15375, 607, 4187, 9851, 699, 24612, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 24612, 236789, 236751, 9299, 653, 496, 2870, 4108, 3927, 5904, 531, 33205, 672, 1938, 236761, 669, 2487, 6436, 1186, 2174, 8582, 34369, 532, 2471, 8052, 1385, 11303, 4323, 40035, 10252, 236761, 21284, 611, 1133, 786, 531, 1161, 886, 529, 1239, 6436, 5205, 236764, 653, 59638, 822, 2864, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 82138, 36010, 699, 506, 2238, 12896, 1816, 236761, 106, 107, 105, 4368, 107, 9366, 2847, 506, 12896, 1816, 611, 236789, 236753, 1133, 531, 8430, 36010, 699, 236764, 532, 564, 236789, 859, 1657, 625, 1699, 506, 6780, 5192, 7846, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 82138, 36010, 699, 506, 2238, 12896, 1816, 236761, 106, 107, 105, 4368, 107, 9366, 2847, 506, 12896, 1816, 611, 236789, 236753, 1133, 531, 8430, 36010, 699, 236764, 532, 564, 236789, 859, 1657, 625, 1699, 506, 6780, 5192, 7846, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 1202, 531, 18840, 506, 3736, 529, 1023, 4803, 29859, 24742, 3418, 3530, 14175, 236761, 28344, 611, 8091, 1262, 699, 4471, 100153, 573, 506, 1774, 3962, 3794, 236881, 669, 7021, 1374, 3204, 38737, 236764, 25171, 8310, 236764, 532, 18136, 236761, 62417, 8784, 26777, 623, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 236775, 532, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 3056, 116589, 4354, 236787, 4845, 236772, 17429, 3136, 236764, 14274, 3136, 236764, 532, 2157, 810, 4845, 236761, 6542, 236764, 2541, 1679, 13376, 684, 3195, 3822, 532, 5058, 236761, 564, 1461, 531, 10769, 1239, 531, 59638, 1023, 7545, 573, 1366, 236770, 2148, 1051, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 4767, 6137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 122211, 827, 623, 4503, 236779, 547, 1083, 623, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236810, 1263, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 3714, 74380, 12062, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236828, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236810, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236778, 1263, 623, 13517, 128809, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236828, 5237, 623, 19099, 1083, 3714, 122211, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236810, 113527, 108, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 122211, 827, 623, 4503, 236779, 547, 1083, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236812, 236778, 1263, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 3714, 49276, 31016, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236812, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236770, 236810, 1263, 623, 51551, 15435, 31016, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236770, 236761, 236819, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236770, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236825, 236828, 5237, 623, 19099, 1083, 3714, 122211, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236812, 236778, 112679, 623, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 74414, 8310, 827, 623, 4503, 236779, 547, 1083, 623, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236778, 236761, 236800, 70887, 623, 69930, 236779, 4720, 1083, 623, 236771, 236761, 236828, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236812, 236810, 23179, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 3714, 74380, 12062, 1083, 3714, 227295, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 85449, 1083, 236743, 236800, 236778, 236771, 236764, 623, 13769, 1083, 6610, 236810, 236825, 236778, 236761, 236810, 236771, 236775, 5237, 623, 19099, 1083, 3714, 74414, 8310, 1083, 3714, 227295, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 85449, 1083, 236743, 236800, 236778, 236771, 236764, 623, 13769, 1083, 6610, 236810, 236825, 236778, 236761, 236810, 236771, 236775, 112679, 623, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 74414, 8310, 827, 623, 4503, 236779, 547, 1083, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 827, 623, 80158, 236779, 1516, 1083, 78493, 14557, 236779, 3250, 1083, 623, 49276, 31016, 827, 623, 19099, 1083, 623, 74414, 8310, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236778, 236761, 236800, 70887, 623, 69930, 236779, 4720, 1083, 623, 236770, 236761, 236770, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236812, 236778, 23179, 3714, 14557, 236779, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 19099, 1083, 623, 74414, 8310, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236770, 236761, 236819, 70887, 623, 69930, 236779, 4720, 1083, 623, 236771, 236761, 236828, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236812, 236828, 23179, 3714, 14557, 236779, 3250, 1083, 623, 100244, 15435, 31016, 827, 623, 19099, 1083, 623, 74414, 8310, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236800, 236761, 236770, 70887, 623, 69930, 236779, 4720, 1083, 623, 236770, 236761, 236810, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236800, 236828, 25938, 1604, 623, 6011, 1083, 3714, 6725, 236779, 227295, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 6725, 236779, 746, 58555, 1083, 236743, 236770, 236825, 236832, 236764, 623, 6725, 236779, 13769, 1083, 6610, 236825, 236800, 236810, 236771, 236761, 236771, 236771, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 78493, 1201, 1083, 623, 74380, 12062, 827, 623, 133319, 878, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236800, 236832, 236810, 1263, 3714, 1201, 1083, 623, 51551, 18508, 12062, 827, 623, 133319, 878, 1083, 236743, 236832, 236810, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236770, 236828, 236828, 104960, 623, 19099, 1083, 78493, 1201, 1083, 623, 51077, 827, 623, 6725, 236779, 141249, 1083, 236743, 236770, 236819, 236770, 236778, 236810, 236764, 623, 85449, 1083, 236743, 236778, 236832, 236771, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 6265, 1083, 623, 51077, 827, 623, 4503, 236779, 547, 1083, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 827, 623, 4243, 3986, 1111, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236810, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236778, 236761, 236812, 236810, 1263, 623, 63265, 1083, 3714, 14557, 236779, 77164, 1083, 78493, 3250, 1083, 623, 49276, 31016, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236832, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236812, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236778, 236761, 236800, 1263, 3714, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236819, 236770, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236832, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236778, 236761, 236825, 104960, 623, 19099, 1083, 623, 51077, 827, 623, 80158, 236779, 19001, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 3671, 529, 822, 29859, 24742, 3418, 14175, 573, 1366, 236778, 236772, 236935, 236800, 236743, 236778, 236771, 236778, 236812, 236787, 108, 1018, 122211, 191726, 1018, 107, 2819, 7243, 107, 1018, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236810, 236908, 1109, 67292, 236743, 236770, 236761, 236778, 236908, 1109, 107964, 609, 236771, 236761, 236812, 236810, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 18508, 12062, 236787, 236743, 236778, 236761, 236828, 236908, 86239, 1109, 236743, 236770, 236761, 236810, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236778, 107964, 138, 107, 138, 236772, 7067, 128809, 236787, 236743, 236778, 236761, 236770, 236908, 86239, 1109, 236743, 236771, 236761, 236819, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236828, 107964, 138, 108, 1018, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236770, 236810, 236908, 1109, 67292, 236743, 236771, 236761, 236832, 236828, 236908, 1109, 107964, 609, 236800, 236761, 236812, 236778, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 15435, 31016, 236787, 236743, 236778, 236761, 236812, 236810, 236908, 86239, 1109, 236743, 236771, 236761, 236828, 236778, 236908, 14274, 1109, 609, 236800, 236761, 236770, 236810, 107964, 138, 107, 138, 236772, 19563, 15435, 31016, 236787, 236743, 236770, 236761, 236819, 236810, 236908, 86239, 1109, 236743, 236771, 236761, 236832, 236770, 236908, 14274, 1109, 609, 236800, 236761, 236825, 236828, 107964, 138, 108, 1018, 74414, 8310, 191726, 1018, 107, 2819, 30104, 107, 1018, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236800, 236908, 1109, 67292, 236743, 236771, 236761, 236828, 236908, 1109, 107964, 609, 236771, 236761, 236812, 236810, 138, 107, 236772, 18127, 17310, 236787, 18508, 12062, 1186, 568, 236770, 236764, 236778, 236810, 236771, 44495, 1109, 236743, 236800, 236778, 236771, 6182, 1109, 609, 236810, 236825, 236778, 236761, 236810, 236771, 2558, 2157, 236768, 138, 108, 1018, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236800, 236908, 1109, 67292, 236743, 236770, 236761, 236770, 236908, 1109, 107964, 609, 236771, 236761, 236812, 236778, 138, 107, 236772, 18127, 17310, 166977, 568, 9640, 236787, 236743, 236770, 236810, 236764, 236778, 236771, 236771, 44495, 1109, 236743, 236770, 236825, 236832, 63680, 1109, 609, 236825, 236764, 236800, 236810, 236771, 1473, 138, 107, 138, 236772, 15435, 31016, 236787, 236743, 236778, 236761, 236800, 236908, 86239, 1109, 236743, 236770, 236761, 236770, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236778, 107964, 138, 107, 138, 236772, 19563, 15435, 31016, 236787, 236743, 236770, 236761, 236819, 236908, 86239, 1109, 236743, 236771, 236761, 236828, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236828, 107964, 138, 107, 138, 236772, 29576, 15435, 31016, 236787, 236743, 236800, 236761, 236770, 236908, 86239, 1109, 236743, 236770, 236761, 236810, 236908, 14274, 1109, 609, 236771, 236761, 236800, 236828, 107964, 138, 108, 1018, 51077, 191726, 1018, 107, 2819, 7243, 107, 1018, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236810, 236908, 1109, 67292, 236743, 236770, 236761, 236778, 236908, 1109, 107964, 609, 236771, 236761, 236828, 236810, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 18508, 12062, 236787, 236743, 236800, 236832, 236810, 44495, 568, 236770, 236810, 236764, 236771, 236771, 236771, 52547, 236768, 138, 107, 138, 236772, 19563, 18508, 12062, 236787, 236743, 236770, 236828, 236828, 44495, 568, 236832, 236764, 236810, 236771, 236771, 52547, 236768, 138, 108, 1018, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236828, 236761, 236778, 236908, 1109, 67292, 236743, 236771, 236761, 236770, 236810, 236908, 1109, 107964, 609, 236778, 236761, 236812, 236810, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 15435, 31016, 236787, 236743, 236832, 236761, 236810, 236908, 86239, 1109, 236743, 236771, 236761, 236770, 236812, 236908, 14274, 1109, 609, 236778, 236761, 236800, 236771, 107964, 138, 107, 138, 236772, 19563, 15435, 31016, 236787, 236743, 236819, 236761, 236770, 236908, 86239, 1109, 236743, 236771, 236761, 236770, 236832, 236908, 14274, 1109, 609, 236778, 236761, 236825, 236771, 107964, 138, 108, 1018, 3503, 73022, 1018, 138, 107, 236770, 236761, 5213, 23077, 71293, 66515, 25171, 8310, 32618, 506, 14723, 107964, 3418, 13616, 6131, 236771, 236761, 236800, 236828, 23278, 236771, 236761, 236812, 236828, 236768, 7728, 236761, 38737, 236789, 236751, 1494, 107964, 573, 10630, 13616, 6131, 236800, 236761, 236770, 236810, 23278, 236800, 236761, 236825, 236828, 769, 138, 107, 236778, 236761, 5213, 97227, 7728, 236761, 67292, 66515, 18136, 3831, 3188, 86239, 568, 236828, 236761, 236778, 236908, 573, 10630, 236768, 840, 6934, 14274, 6224, 568, 236771, 236761, 236770, 236810, 37507, 138, 107, 236800, 236761, 5213, 16882, 17310, 19791, 66515, 29576, 13616, 580, 25171, 8310, 5697, 236743, 236800, 236761, 236770, 236908, 86239, 236764, 1651, 19563, 13616, 580, 38737, 735, 3718, 15154, 236761, 138, 107, 236812, 236761, 5213, 15376, 19247, 159517, 66515, 25171, 8310, 123552, 573, 8330, 13616, 568, 236800, 236761, 236770, 236908, 86239, 573, 29576, 7952, 779, 38737, 573, 7009, 13616, 568, 236778, 236761, 236828, 236908, 86239, 769, 138, 108, 38786, 611, 1133, 786, 531, 2619, 496, 7426, 9960, 653, 8357, 3530, 18088, 7760, 573, 1366, 236770, 236743, 236778, 236771, 236778, 236810, 7545, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 1202, 531, 18840, 506, 3736, 529, 1023, 4803, 29859, 24742, 3418, 3530, 14175, 236761, 28344, 611, 8091, 1262, 699, 4471, 100153, 573, 506, 1774, 3962, 3794, 236881, 669, 7021, 1374, 3204, 38737, 236764, 25171, 8310, 236764, 532, 18136, 236761, 62417, 8784, 26777, 623, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 236775, 532, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 3056, 116589, 4354, 236787, 4845, 236772, 17429, 3136, 236764, 14274, 3136, 236764, 532, 2157, 810, 4845, 236761, 6542, 236764, 2541, 1679, 13376, 684, 3195, 3822, 532, 5058, 236761, 564, 1461, 531, 10769, 1239, 531, 59638, 1023, 7545, 573, 1366, 236770, 2148, 1051, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 4767, 6137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 122211, 827, 623, 4503, 236779, 547, 1083, 623, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236810, 1263, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 3714, 74380, 12062, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236828, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236810, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236778, 1263, 623, 13517, 128809, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236828, 5237, 623, 19099, 1083, 3714, 122211, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236810, 113527, 108, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 122211, 827, 623, 4503, 236779, 547, 1083, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236812, 236778, 1263, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 3714, 49276, 31016, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236812, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236770, 236810, 1263, 623, 51551, 15435, 31016, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236770, 236761, 236819, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236770, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236825, 236828, 5237, 623, 19099, 1083, 3714, 122211, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236800, 236761, 236812, 236778, 112679, 623, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 74414, 8310, 827, 623, 4503, 236779, 547, 1083, 623, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236778, 236761, 236800, 70887, 623, 69930, 236779, 4720, 1083, 623, 236771, 236761, 236828, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236812, 236810, 23179, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 3714, 74380, 12062, 1083, 3714, 227295, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 85449, 1083, 236743, 236800, 236778, 236771, 236764, 623, 13769, 1083, 6610, 236810, 236825, 236778, 236761, 236810, 236771, 236775, 5237, 623, 19099, 1083, 3714, 74414, 8310, 1083, 3714, 227295, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 85449, 1083, 236743, 236800, 236778, 236771, 236764, 623, 13769, 1083, 6610, 236810, 236825, 236778, 236761, 236810, 236771, 236775, 112679, 623, 2289, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236786, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 74414, 8310, 827, 623, 4503, 236779, 547, 1083, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 827, 623, 80158, 236779, 1516, 1083, 78493, 14557, 236779, 3250, 1083, 623, 49276, 31016, 827, 623, 19099, 1083, 623, 74414, 8310, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236778, 236761, 236800, 70887, 623, 69930, 236779, 4720, 1083, 623, 236770, 236761, 236770, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236812, 236778, 23179, 3714, 14557, 236779, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 19099, 1083, 623, 74414, 8310, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236770, 236761, 236819, 70887, 623, 69930, 236779, 4720, 1083, 623, 236771, 236761, 236828, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236812, 236828, 23179, 3714, 14557, 236779, 3250, 1083, 623, 100244, 15435, 31016, 827, 623, 19099, 1083, 623, 74414, 8310, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236800, 236761, 236770, 70887, 623, 69930, 236779, 4720, 1083, 623, 236770, 236761, 236810, 70887, 623, 13769, 236779, 721, 236779, 4513, 1083, 6610, 236771, 236761, 236800, 236828, 25938, 1604, 623, 6011, 1083, 3714, 6725, 236779, 227295, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 6725, 236779, 746, 58555, 1083, 236743, 236770, 236825, 236832, 236764, 623, 6725, 236779, 13769, 1083, 6610, 236825, 236800, 236810, 236771, 236761, 236771, 236771, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236778, 236761, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236778, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 623, 63265, 1083, 3714, 14557, 236779, 3250, 1083, 78493, 1201, 1083, 623, 74380, 12062, 827, 623, 133319, 878, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236800, 236832, 236810, 1263, 3714, 1201, 1083, 623, 51551, 18508, 12062, 827, 623, 133319, 878, 1083, 236743, 236832, 236810, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236770, 236828, 236828, 104960, 623, 19099, 1083, 78493, 1201, 1083, 623, 51077, 827, 623, 6725, 236779, 141249, 1083, 236743, 236770, 236819, 236770, 236778, 236810, 236764, 623, 85449, 1083, 236743, 236778, 236832, 236771, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 6265, 1083, 623, 51077, 827, 623, 4503, 236779, 547, 1083, 623, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 827, 623, 4243, 3986, 1111, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236810, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236778, 236761, 236812, 236810, 1263, 623, 63265, 1083, 3714, 14557, 236779, 77164, 1083, 78493, 3250, 1083, 623, 49276, 31016, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236832, 236810, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236812, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236778, 236761, 236800, 1263, 3714, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236819, 236770, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236832, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236778, 236761, 236825, 104960, 623, 19099, 1083, 623, 51077, 827, 623, 80158, 236779, 19001, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 3671, 529, 822, 29859, 24742, 3418, 14175, 573, 1366, 236778, 236772, 236935, 236800, 236743, 236778, 236771, 236778, 236812, 236787, 108, 1018, 122211, 191726, 1018, 107, 2819, 7243, 107, 1018, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236810, 236908, 1109, 67292, 236743, 236770, 236761, 236778, 236908, 1109, 107964, 609, 236771, 236761, 236812, 236810, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 18508, 12062, 236787, 236743, 236778, 236761, 236828, 236908, 86239, 1109, 236743, 236770, 236761, 236810, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236778, 107964, 138, 107, 138, 236772, 7067, 128809, 236787, 236743, 236778, 236761, 236770, 236908, 86239, 1109, 236743, 236771, 236761, 236819, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236828, 107964, 138, 108, 1018, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236770, 236810, 236908, 1109, 67292, 236743, 236771, 236761, 236832, 236828, 236908, 1109, 107964, 609, 236800, 236761, 236812, 236778, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 15435, 31016, 236787, 236743, 236778, 236761, 236812, 236810, 236908, 86239, 1109, 236743, 236771, 236761, 236828, 236778, 236908, 14274, 1109, 609, 236800, 236761, 236770, 236810, 107964, 138, 107, 138, 236772, 19563, 15435, 31016, 236787, 236743, 236770, 236761, 236819, 236810, 236908, 86239, 1109, 236743, 236771, 236761, 236832, 236770, 236908, 14274, 1109, 609, 236800, 236761, 236825, 236828, 107964, 138, 108, 1018, 74414, 8310, 191726, 1018, 107, 2819, 30104, 107, 1018, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236800, 236908, 1109, 67292, 236743, 236771, 236761, 236828, 236908, 1109, 107964, 609, 236771, 236761, 236812, 236810, 138, 107, 236772, 18127, 17310, 236787, 18508, 12062, 1186, 568, 236770, 236764, 236778, 236810, 236771, 44495, 1109, 236743, 236800, 236778, 236771, 6182, 1109, 609, 236810, 236825, 236778, 236761, 236810, 236771, 2558, 2157, 236768, 138, 108, 1018, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236800, 236908, 1109, 67292, 236743, 236770, 236761, 236770, 236908, 1109, 107964, 609, 236771, 236761, 236812, 236778, 138, 107, 236772, 18127, 17310, 166977, 568, 9640, 236787, 236743, 236770, 236810, 236764, 236778, 236771, 236771, 44495, 1109, 236743, 236770, 236825, 236832, 63680, 1109, 609, 236825, 236764, 236800, 236810, 236771, 1473, 138, 107, 138, 236772, 15435, 31016, 236787, 236743, 236778, 236761, 236800, 236908, 86239, 1109, 236743, 236770, 236761, 236770, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236778, 107964, 138, 107, 138, 236772, 19563, 15435, 31016, 236787, 236743, 236770, 236761, 236819, 236908, 86239, 1109, 236743, 236771, 236761, 236828, 236908, 14274, 1109, 609, 236771, 236761, 236812, 236828, 107964, 138, 107, 138, 236772, 29576, 15435, 31016, 236787, 236743, 236800, 236761, 236770, 236908, 86239, 1109, 236743, 236770, 236761, 236810, 236908, 14274, 1109, 609, 236771, 236761, 236800, 236828, 107964, 138, 108, 1018, 51077, 191726, 1018, 107, 2819, 7243, 107, 1018, 74380, 12062, 1366, 236778, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236778, 236761, 236810, 236908, 1109, 67292, 236743, 236770, 236761, 236778, 236908, 1109, 107964, 609, 236771, 236761, 236828, 236810, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 18508, 12062, 236787, 236743, 236800, 236832, 236810, 44495, 568, 236770, 236810, 236764, 236771, 236771, 236771, 52547, 236768, 138, 107, 138, 236772, 19563, 18508, 12062, 236787, 236743, 236770, 236828, 236828, 44495, 568, 236832, 236764, 236810, 236771, 236771, 52547, 236768, 138, 108, 1018, 49276, 31016, 1366, 236800, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 236772, 29216, 236787, 86239, 236743, 236828, 236761, 236778, 236908, 1109, 67292, 236743, 236771, 236761, 236770, 236810, 236908, 1109, 107964, 609, 236778, 236761, 236812, 236810, 138, 107, 236772, 18127, 17310, 166977, 236787, 138, 107, 138, 236772, 15435, 31016, 236787, 236743, 236832, 236761, 236810, 236908, 86239, 1109, 236743, 236771, 236761, 236770, 236812, 236908, 14274, 1109, 609, 236778, 236761, 236800, 236771, 107964, 138, 107, 138, 236772, 19563, 15435, 31016, 236787, 236743, 236819, 236761, 236770, 236908, 86239, 1109, 236743, 236771, 236761, 236770, 236832, 236908, 14274, 1109, 609, 236778, 236761, 236825, 236771, 107964, 138, 108, 1018, 3503, 73022, 1018, 138, 107, 236770, 236761, 5213, 23077, 71293, 66515, 25171, 8310, 32618, 506, 14723, 107964, 3418, 13616, 6131, 236771, 236761, 236800, 236828, 23278, 236771, 236761, 236812, 236828, 236768, 7728, 236761, 38737, 236789, 236751, 1494, 107964, 573, 10630, 13616, 6131, 236800, 236761, 236770, 236810, 23278, 236800, 236761, 236825, 236828, 769, 138, 107, 236778, 236761, 5213, 97227, 7728, 236761, 67292, 66515, 18136, 3831, 3188, 86239, 568, 236828, 236761, 236778, 236908, 573, 10630, 236768, 840, 6934, 14274, 6224, 568, 236771, 236761, 236770, 236810, 37507, 138, 107, 236800, 236761, 5213, 16882, 17310, 19791, 66515, 29576, 13616, 580, 25171, 8310, 5697, 236743, 236800, 236761, 236770, 236908, 86239, 236764, 1651, 19563, 13616, 580, 38737, 735, 3718, 15154, 236761, 138, 107, 236812, 236761, 5213, 15376, 19247, 159517, 66515, 25171, 8310, 123552, 573, 8330, 13616, 568, 236800, 236761, 236770, 236908, 86239, 573, 29576, 7952, 779, 38737, 573, 7009, 13616, 568, 236778, 236761, 236828, 236908, 86239, 769, 138, 108, 38786, 611, 1133, 786, 531, 2619, 496, 7426, 9960, 653, 8357, 3530, 18088, 7760, 573, 1366, 236770, 236743, 236778, 236771, 236778, 236810, 7545, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 1900, 496, 19406, 573, 611, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 8398, 24121, 3797, 653, 3019, 236761, 3153, 236764, 564, 740, 1601, 611, 2619, 496, 32272, 653, 7914, 4188, 4596, 531, 19406, 768, 611, 236789, 236753, 1133, 236888, 1701, 2591, 236787, 108, 236770, 236761, 8600, 496, 32272, 531, 1900, 19406, 3209, 107, 236778, 236761, 4140, 623, 27015, 19406, 13153, 236775, 531, 822, 10294, 1694, 107, 236800, 236761, 5833, 496, 19144, 573, 19406, 3446, 108, 38786, 611, 1133, 786, 531, 1601, 607, 1027, 529, 1239, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 1900, 496, 19406, 573, 611, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 8398, 24121, 3797, 653, 3019, 236761, 3153, 236764, 564, 740, 1601, 611, 2619, 496, 32272, 653, 7914, 4188, 4596, 531, 19406, 768, 611, 236789, 236753, 1133, 236888, 1701, 2591, 236787, 108, 236770, 236761, 8600, 496, 32272, 531, 1900, 19406, 3209, 107, 236778, 236761, 4140, 623, 27015, 19406, 13153, 236775, 531, 822, 10294, 1694, 107, 236800, 236761, 5833, 496, 19144, 573, 19406, 3446, 108, 38786, 611, 1133, 786, 531, 1601, 607, 1027, 529, 1239, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 196521, 236761, 28344, 611, 12270, 506, 6524, 25338, 4668, 46331, 573, 786, 236881, 564, 236789, 560, 1010, 3978, 4137, 699, 3272, 1003, 28971, 31655, 236764, 532, 564, 1461, 531, 3050, 506, 1873, 15067, 532, 27078, 528, 506, 3956, 236761, 1174, 795, 1601, 786, 8214, 1091, 2480, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 1005, 1083, 623, 11896, 12073, 496, 861, 28971, 236772, 5140, 4993, 5058, 236888, 997, 6721, 236800, 997, 192335, 827, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 117186, 1083, 236743, 236800, 236761, 236778, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 121662, 827, 623, 52531, 827, 623, 6721, 236800, 827, 623, 144573, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236778, 236778, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236832, 827, 623, 1005, 1083, 623, 40219, 3671, 236787, 51959, 37633, 872, 236743, 236812, 236771, 236908, 216670, 840, 43866, 7474, 496, 4561, 621, 689, 236828, 236800, 236753, 236785, 689, 767, 236819, 827, 623, 126775, 1083, 3714, 8318, 1083, 753, 236771, 236761, 236800, 236810, 236764, 623, 117186, 1083, 236743, 236778, 236761, 236770, 236764, 623, 2491, 1083, 623, 27851, 23179, 623, 41427, 1083, 11058, 11506, 5211, 827, 623, 16350, 827, 623, 4477, 26633, 827, 623, 55595, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236770, 236832, 236953, 25938, 1604, 623, 21052, 1083, 3714, 19031, 236779, 3456, 1083, 3714, 2074, 236779, 83027, 1083, 236743, 236770, 236771, 236764, 623, 5455, 236779, 236749, 236779, 24392, 1083, 236743, 236812, 236764, 623, 3991, 236779, 236749, 236779, 41427, 1083, 236743, 236770, 236771, 1263, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 506, 6524, 25338, 4668, 46331, 52236, 573, 611, 236787, 108, 1018, 3503, 48993, 833, 162249, 53121, 107, 236770, 236761, 5213, 48084, 161861, 53121, 236743, 107, 139, 236772, 72280, 4993, 14175, 659, 20222, 568, 41427, 236787, 623, 121662, 827, 623, 52531, 827, 623, 6721, 236800, 827, 623, 144573, 4248, 107, 139, 236772, 51959, 37633, 1407, 3877, 568, 41427, 236787, 623, 11506, 5211, 827, 623, 16350, 4248, 108, 236778, 236761, 5213, 169813, 53121, 107, 139, 236772, 12726, 43866, 7474, 496, 4561, 568, 41427, 236787, 623, 4477, 26633, 827, 623, 55595, 4248, 108, 1018, 19469, 73538, 70731, 53121, 107, 236772, 236743, 242015, 623, 4199, 28971, 236772, 5140, 4993, 5058, 12073, 9332, 51228, 6721, 236800, 997, 192335, 236768, 138, 107, 138, 236829, 203481, 236787, 44771, 568, 8318, 236787, 236743, 236771, 236761, 236828, 236778, 12016, 107, 236772, 236743, 249641, 623, 85884, 37633, 872, 236743, 236812, 236771, 236908, 216670, 236764, 840, 43866, 81099, 236775, 138, 107, 138, 236829, 203481, 236787, 57647, 568, 8318, 236787, 753, 236771, 236761, 236800, 236810, 12016, 108, 38786, 611, 1133, 786, 531, 59638, 506, 2536, 3342, 568, 236744, 236761, 236759, 1126, 3213, 919, 580, 4993, 236764, 31655, 236764, 653, 3530, 30154, 20625, 106, 107, 105, 2364, 107, 12879, 573, 506, 12323, 236888, 28344, 611, 59638, 506, 2536, 531, 3213, 10916, 580, 28971, 4993, 14175, 532, 6334, 2913, 7760, 236881, 564, 236789, 236753, 1133, 531, 1460, 919, 4889, 1003, 20222, 6607, 236764, 83073, 236764, 653, 12889, 236772, 21125, 19898, 6950, 528, 506, 46331, 236761, 1174, 795, 1601, 786, 8701, 12625, 5405, 531, 5840, 531, 3272, 7467, 528, 16232, 506, 2135, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236819, 236770, 236810, 236771, 236778, 236828, 236800, 236832, 236778, 236770, 236828, 236810, 236778, 236770, 236771, 236828, 236828, 827, 623, 1005, 1083, 623, 73569, 4143, 18783, 528, 28971, 4993, 236888, 1392, 10809, 4675, 236836, 47821, 2196, 22902, 12420, 573, 6940, 236800, 18270, 236761, 997, 6721, 236800, 997, 39454, 827, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 121662, 827, 623, 52531, 827, 623, 206906, 827, 623, 6721, 236800, 827, 623, 124905, 152254, 3714, 547, 1083, 623, 236770, 236832, 236819, 236770, 236812, 236819, 236828, 236778, 236800, 236832, 236778, 236770, 236828, 236810, 236778, 236770, 236771, 236828, 236819, 827, 623, 1005, 1083, 623, 80995, 7760, 528, 25338, 2557, 6730, 236743, 236800, 236771, 236771, 236908, 216670, 236761, 1799, 2072, 3831, 5056, 573, 28971, 45435, 532, 25755, 24316, 236761, 997, 85884, 71578, 827, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 99313, 827, 623, 55595, 827, 623, 121662, 827, 623, 52531, 827, 623, 30797, 152254, 3714, 547, 1083, 623, 236770, 236832, 236819, 236770, 236812, 236819, 236800, 236778, 236800, 236832, 236778, 236770, 236828, 236810, 236778, 236770, 236771, 236819, 236771, 827, 623, 1005, 1083, 623, 104071, 236787, 1392, 57054, 98863, 6627, 607, 35211, 2883, 531, 2729, 28971, 19788, 13394, 590, 952, 8076, 236761, 155545, 19015, 16922, 41218, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 57054, 98863, 827, 623, 29415, 2883, 827, 623, 121662, 827, 623, 52531, 827, 623, 16177, 590, 952, 930, 99471, 1604, 623, 6011, 1083, 3714, 6725, 236779, 83027, 1083, 236743, 236770, 236810, 236764, 623, 2289, 236779, 8572, 236779, 24392, 1083, 236743, 236825, 236764, 623, 3991, 236779, 41427, 1083, 11058, 121662, 827, 623, 52531, 827, 623, 55595, 827, 623, 6721, 236800, 827, 623, 206906, 827, 623, 99313, 827, 623, 124905, 827, 623, 30797, 827, 623, 57054, 98863, 827, 623, 29415, 2883, 827, 623, 1643, 74582, 827, 623, 16177, 590, 952, 930, 14255, 623, 28128, 236779, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 2491, 1083, 623, 30558, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 33093, 12323, 10317, 580, 28971, 4993, 14175, 532, 6334, 2913, 236787, 108, 1018, 8534, 62503, 229414, 53121, 107, 236770, 236761, 5213, 15370, 52414, 41327, 1018, 138, 107, 139, 245958, 12948, 10809, 4675, 236836, 47821, 2196, 22902, 12420, 573, 6940, 236800, 18270, 236775, 138, 107, 139, 236829, 43595, 236787, 28971, 236764, 4993, 236764, 22902, 236764, 6940, 236800, 236829, 138, 107, 139, 236829, 203481, 236787, 44771, 568, 236771, 236761, 236828, 236778, 12016, 108, 236778, 236761, 5213, 80995, 26608, 48993, 1018, 138, 107, 139, 245353, 623, 100042, 573, 28971, 45435, 532, 25755, 24316, 128603, 568, 236800, 236771, 236771, 236908, 216670, 3877, 16291, 138, 107, 139, 236829, 43595, 236787, 6334, 236764, 25338, 236764, 4993, 236764, 9569, 236829, 138, 107, 139, 236829, 203481, 236787, 44771, 568, 236771, 236761, 236832, 236810, 12016, 108, 236800, 236761, 5213, 73939, 236772, 47062, 11226, 118836, 1018, 138, 107, 139, 245292, 12948, 57054, 98863, 6627, 607, 35211, 2883, 573, 28971, 19788, 13394, 590, 952, 8076, 236775, 138, 107, 139, 236829, 43595, 236787, 4672, 98863, 236764, 35211, 2883, 236764, 13394, 590, 952, 930, 236764, 28971, 236829, 138, 107, 139, 236829, 203481, 236787, 191442, 44771, 568, 236771, 236761, 236828, 236828, 12016, 108, 1018, 3503, 76374, 573, 19291, 53121, 138, 107, 236772, 16344, 8112, 568, 236744, 236761, 236759, 1126, 13394, 590, 952, 8076, 236768, 659, 20222, 618, 6749, 28150, 138, 107, 236772, 10645, 236772, 64915, 14175, 568, 10809, 4675, 236836, 236764, 4672, 98863, 236768, 659, 5830, 28971, 4993, 138, 107, 236772, 44987, 16412, 1492, 3204, 24576, 13616, 1133, 623, 121662, 25755, 16406, 236775, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 114815, 496, 1694, 529, 3530, 6607, 236786, 206410, 6950, 138, 107, 236778, 236768, 121353, 17025, 15067, 699, 1239, 46331, 568, 584, 1027, 236768, 138, 107, 236800, 236768, 40656, 1982, 9851, 531, 506, 12524, 5405, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 25774, 496, 1694, 529, 506, 3530, 6607, 532, 14175, 6950, 236764, 3008, 607, 910, 1982, 9851, 236761, 1174, 795, 2583, 786, 12625, 5405, 531, 4024, 607, 3272, 236761, 6542, 236764, 1451, 611, 8430, 506, 9851, 699, 506, 46331, 834, 564, 740, 91096, 1091, 573, 3735, 2802, 1913, 68471, 14845, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28725, 1694, 529, 6607, 236786, 206410, 532, 910, 5143, 9851, 2721, 580, 506, 46331, 236787, 108, 1018, 151625, 9426, 41327, 833, 123747, 1018, 107, 236770, 236761, 5213, 10809, 4675, 236836, 1018, 138, 107, 139, 236772, 127297, 524, 236787, 9617, 22902, 12420, 573, 6940, 236800, 18270, 138, 107, 139, 236772, 10297, 236787, 870, 5088, 11932, 236761, 2187, 5457, 2574, 1411, 5088, 11932, 236761, 2187, 236768, 568, 56488, 4456, 53946, 699, 6060, 1392, 10809, 4675, 236836, 236768, 108, 236778, 236761, 5213, 57054, 98863, 1123, 35211, 2883, 38197, 590, 952, 930, 1018, 138, 107, 139, 236772, 127297, 524, 236787, 72280, 19788, 13394, 590, 952, 8076, 138, 107, 139, 236772, 10297, 236787, 870, 75410, 98863, 236761, 2187, 236786, 10864, 2883, 5457, 2574, 1411, 2769, 236761, 75410, 98863, 236761, 2187, 236786, 10864, 2883, 236768, 568, 205358, 11403, 3104, 236768, 108, 236800, 236761, 5213, 85884, 44987, 8236, 8708, 1018, 138, 107, 139, 236772, 127297, 524, 236787, 623, 100042, 573, 28971, 45435, 532, 25755, 24316, 236775, 3671, 138, 107, 139, 236772, 10297, 236787, 870, 108855, 4315, 11041, 15443, 236761, 854, 5457, 2574, 1411, 108855, 4315, 11041, 15443, 236761, 854, 236768, 568, 78024, 2072, 6511, 236768, 108, 1018, 10282, 580, 36374, 53121, 138, 107, 236772, 669, 46331, 5507, 1602, 711, 3014, 14481, 60973, 568, 11147, 573, 9526, 236786, 236917, 2872, 11649, 236768, 138, 107, 236772, 36374, 3847, 659, 53946, 699, 4403, 568, 56488, 17909, 573, 6950, 13965, 236768, 138, 107, 236772, 1701, 1982, 21866, 9851, 236764, 692, 236789, 236753, 1202, 2802, 531, 9526, 236789, 236751, 9299, 573, 15744, 60973, 568, 2217, 2487, 528, 1873, 6436, 236768, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 12808, 573, 5125, 17909, 573, 1239, 14175, 768, 1239, 53946, 9851, 659, 29368, 236881, 138, 107, 236778, 236768, 43550, 44426, 17253, 573, 1239, 9851, 531, 30091, 11211, 607, 3272, 236881, 138, 107, 236800, 236768, 7179, 573, 4767, 5405, 6950, 528, 506, 2587, 1076, 529, 236743, 236770, 236810, 46331, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 196521, 236761, 28344, 611, 12270, 506, 6524, 25338, 4668, 46331, 573, 786, 236881, 564, 236789, 560, 1010, 3978, 4137, 699, 3272, 1003, 28971, 31655, 236764, 532, 564, 1461, 531, 3050, 506, 1873, 15067, 532, 27078, 528, 506, 3956, 236761, 1174, 795, 1601, 786, 8214, 1091, 2480, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 1005, 1083, 623, 11896, 12073, 496, 861, 28971, 236772, 5140, 4993, 5058, 236888, 997, 6721, 236800, 997, 192335, 827, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 117186, 1083, 236743, 236800, 236761, 236778, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 121662, 827, 623, 52531, 827, 623, 6721, 236800, 827, 623, 144573, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236778, 236778, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236832, 827, 623, 1005, 1083, 623, 40219, 3671, 236787, 51959, 37633, 872, 236743, 236812, 236771, 236908, 216670, 840, 43866, 7474, 496, 4561, 621, 689, 236828, 236800, 236753, 236785, 689, 767, 236819, 827, 623, 126775, 1083, 3714, 8318, 1083, 753, 236771, 236761, 236800, 236810, 236764, 623, 117186, 1083, 236743, 236778, 236761, 236770, 236764, 623, 2491, 1083, 623, 27851, 23179, 623, 41427, 1083, 11058, 11506, 5211, 827, 623, 16350, 827, 623, 4477, 26633, 827, 623, 55595, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236770, 236832, 236953, 25938, 1604, 623, 21052, 1083, 3714, 19031, 236779, 3456, 1083, 3714, 2074, 236779, 83027, 1083, 236743, 236770, 236771, 236764, 623, 5455, 236779, 236749, 236779, 24392, 1083, 236743, 236812, 236764, 623, 3991, 236779, 236749, 236779, 41427, 1083, 236743, 236770, 236771, 1263, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 506, 6524, 25338, 4668, 46331, 52236, 573, 611, 236787, 108, 1018, 3503, 48993, 833, 162249, 53121, 107, 236770, 236761, 5213, 48084, 161861, 53121, 236743, 107, 139, 236772, 72280, 4993, 14175, 659, 20222, 568, 41427, 236787, 623, 121662, 827, 623, 52531, 827, 623, 6721, 236800, 827, 623, 144573, 4248, 107, 139, 236772, 51959, 37633, 1407, 3877, 568, 41427, 236787, 623, 11506, 5211, 827, 623, 16350, 4248, 108, 236778, 236761, 5213, 169813, 53121, 107, 139, 236772, 12726, 43866, 7474, 496, 4561, 568, 41427, 236787, 623, 4477, 26633, 827, 623, 55595, 4248, 108, 1018, 19469, 73538, 70731, 53121, 107, 236772, 236743, 242015, 623, 4199, 28971, 236772, 5140, 4993, 5058, 12073, 9332, 51228, 6721, 236800, 997, 192335, 236768, 138, 107, 138, 236829, 203481, 236787, 44771, 568, 8318, 236787, 236743, 236771, 236761, 236828, 236778, 12016, 107, 236772, 236743, 249641, 623, 85884, 37633, 872, 236743, 236812, 236771, 236908, 216670, 236764, 840, 43866, 81099, 236775, 138, 107, 138, 236829, 203481, 236787, 57647, 568, 8318, 236787, 753, 236771, 236761, 236800, 236810, 12016, 108, 38786, 611, 1133, 786, 531, 59638, 506, 2536, 3342, 568, 236744, 236761, 236759, 1126, 3213, 919, 580, 4993, 236764, 31655, 236764, 653, 3530, 30154, 20625, 106, 107, 105, 2364, 107, 12879, 573, 506, 12323, 236888, 28344, 611, 59638, 506, 2536, 531, 3213, 10916, 580, 28971, 4993, 14175, 532, 6334, 2913, 7760, 236881, 564, 236789, 236753, 1133, 531, 1460, 919, 4889, 1003, 20222, 6607, 236764, 83073, 236764, 653, 12889, 236772, 21125, 19898, 6950, 528, 506, 46331, 236761, 1174, 795, 1601, 786, 8701, 12625, 5405, 531, 5840, 531, 3272, 7467, 528, 16232, 506, 2135, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236819, 236770, 236810, 236771, 236778, 236828, 236800, 236832, 236778, 236770, 236828, 236810, 236778, 236770, 236771, 236828, 236828, 827, 623, 1005, 1083, 623, 73569, 4143, 18783, 528, 28971, 4993, 236888, 1392, 10809, 4675, 236836, 47821, 2196, 22902, 12420, 573, 6940, 236800, 18270, 236761, 997, 6721, 236800, 997, 39454, 827, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 121662, 827, 623, 52531, 827, 623, 206906, 827, 623, 6721, 236800, 827, 623, 124905, 152254, 3714, 547, 1083, 623, 236770, 236832, 236819, 236770, 236812, 236819, 236828, 236778, 236800, 236832, 236778, 236770, 236828, 236810, 236778, 236770, 236771, 236828, 236819, 827, 623, 1005, 1083, 623, 80995, 7760, 528, 25338, 2557, 6730, 236743, 236800, 236771, 236771, 236908, 216670, 236761, 1799, 2072, 3831, 5056, 573, 28971, 45435, 532, 25755, 24316, 236761, 997, 85884, 71578, 827, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 99313, 827, 623, 55595, 827, 623, 121662, 827, 623, 52531, 827, 623, 30797, 152254, 3714, 547, 1083, 623, 236770, 236832, 236819, 236770, 236812, 236819, 236800, 236778, 236800, 236832, 236778, 236770, 236828, 236810, 236778, 236770, 236771, 236819, 236771, 827, 623, 1005, 1083, 623, 104071, 236787, 1392, 57054, 98863, 6627, 607, 35211, 2883, 531, 2729, 28971, 19788, 13394, 590, 952, 8076, 236761, 155545, 19015, 16922, 41218, 623, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 236764, 623, 2491, 1083, 623, 30558, 23179, 623, 41427, 1083, 11058, 57054, 98863, 827, 623, 29415, 2883, 827, 623, 121662, 827, 623, 52531, 827, 623, 16177, 590, 952, 930, 99471, 1604, 623, 6011, 1083, 3714, 6725, 236779, 83027, 1083, 236743, 236770, 236810, 236764, 623, 2289, 236779, 8572, 236779, 24392, 1083, 236743, 236825, 236764, 623, 3991, 236779, 41427, 1083, 11058, 121662, 827, 623, 52531, 827, 623, 55595, 827, 623, 6721, 236800, 827, 623, 206906, 827, 623, 99313, 827, 623, 124905, 827, 623, 30797, 827, 623, 57054, 98863, 827, 623, 29415, 2883, 827, 623, 1643, 74582, 827, 623, 16177, 590, 952, 930, 14255, 623, 28128, 236779, 126775, 1083, 3714, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 2491, 1083, 623, 30558, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 33093, 12323, 10317, 580, 28971, 4993, 14175, 532, 6334, 2913, 236787, 108, 1018, 8534, 62503, 229414, 53121, 107, 236770, 236761, 5213, 15370, 52414, 41327, 1018, 138, 107, 139, 245958, 12948, 10809, 4675, 236836, 47821, 2196, 22902, 12420, 573, 6940, 236800, 18270, 236775, 138, 107, 139, 236829, 43595, 236787, 28971, 236764, 4993, 236764, 22902, 236764, 6940, 236800, 236829, 138, 107, 139, 236829, 203481, 236787, 44771, 568, 236771, 236761, 236828, 236778, 12016, 108, 236778, 236761, 5213, 80995, 26608, 48993, 1018, 138, 107, 139, 245353, 623, 100042, 573, 28971, 45435, 532, 25755, 24316, 128603, 568, 236800, 236771, 236771, 236908, 216670, 3877, 16291, 138, 107, 139, 236829, 43595, 236787, 6334, 236764, 25338, 236764, 4993, 236764, 9569, 236829, 138, 107, 139, 236829, 203481, 236787, 44771, 568, 236771, 236761, 236832, 236810, 12016, 108, 236800, 236761, 5213, 73939, 236772, 47062, 11226, 118836, 1018, 138, 107, 139, 245292, 12948, 57054, 98863, 6627, 607, 35211, 2883, 573, 28971, 19788, 13394, 590, 952, 8076, 236775, 138, 107, 139, 236829, 43595, 236787, 4672, 98863, 236764, 35211, 2883, 236764, 13394, 590, 952, 930, 236764, 28971, 236829, 138, 107, 139, 236829, 203481, 236787, 191442, 44771, 568, 236771, 236761, 236828, 236828, 12016, 108, 1018, 3503, 76374, 573, 19291, 53121, 138, 107, 236772, 16344, 8112, 568, 236744, 236761, 236759, 1126, 13394, 590, 952, 8076, 236768, 659, 20222, 618, 6749, 28150, 138, 107, 236772, 10645, 236772, 64915, 14175, 568, 10809, 4675, 236836, 236764, 4672, 98863, 236768, 659, 5830, 28971, 4993, 138, 107, 236772, 44987, 16412, 1492, 3204, 24576, 13616, 1133, 623, 121662, 25755, 16406, 236775, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 114815, 496, 1694, 529, 3530, 6607, 236786, 206410, 6950, 138, 107, 236778, 236768, 121353, 17025, 15067, 699, 1239, 46331, 568, 584, 1027, 236768, 138, 107, 236800, 236768, 40656, 1982, 9851, 531, 506, 12524, 5405, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 25774, 496, 1694, 529, 506, 3530, 6607, 532, 14175, 6950, 236764, 3008, 607, 910, 1982, 9851, 236761, 1174, 795, 2583, 786, 12625, 5405, 531, 4024, 607, 3272, 236761, 6542, 236764, 1451, 611, 8430, 506, 9851, 699, 506, 46331, 834, 564, 740, 91096, 1091, 573, 3735, 2802, 1913, 68471, 14845, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 28725, 1694, 529, 6607, 236786, 206410, 532, 910, 5143, 9851, 2721, 580, 506, 46331, 236787, 108, 1018, 151625, 9426, 41327, 833, 123747, 1018, 107, 236770, 236761, 5213, 10809, 4675, 236836, 1018, 138, 107, 139, 236772, 127297, 524, 236787, 9617, 22902, 12420, 573, 6940, 236800, 18270, 138, 107, 139, 236772, 10297, 236787, 870, 5088, 11932, 236761, 2187, 5457, 2574, 1411, 5088, 11932, 236761, 2187, 236768, 568, 56488, 4456, 53946, 699, 6060, 1392, 10809, 4675, 236836, 236768, 108, 236778, 236761, 5213, 57054, 98863, 1123, 35211, 2883, 38197, 590, 952, 930, 1018, 138, 107, 139, 236772, 127297, 524, 236787, 72280, 19788, 13394, 590, 952, 8076, 138, 107, 139, 236772, 10297, 236787, 870, 75410, 98863, 236761, 2187, 236786, 10864, 2883, 5457, 2574, 1411, 2769, 236761, 75410, 98863, 236761, 2187, 236786, 10864, 2883, 236768, 568, 205358, 11403, 3104, 236768, 108, 236800, 236761, 5213, 85884, 44987, 8236, 8708, 1018, 138, 107, 139, 236772, 127297, 524, 236787, 623, 100042, 573, 28971, 45435, 532, 25755, 24316, 236775, 3671, 138, 107, 139, 236772, 10297, 236787, 870, 108855, 4315, 11041, 15443, 236761, 854, 5457, 2574, 1411, 108855, 4315, 11041, 15443, 236761, 854, 236768, 568, 78024, 2072, 6511, 236768, 108, 1018, 10282, 580, 36374, 53121, 138, 107, 236772, 669, 46331, 5507, 1602, 711, 3014, 14481, 60973, 568, 11147, 573, 9526, 236786, 236917, 2872, 11649, 236768, 138, 107, 236772, 36374, 3847, 659, 53946, 699, 4403, 568, 56488, 17909, 573, 6950, 13965, 236768, 138, 107, 236772, 1701, 1982, 21866, 9851, 236764, 692, 236789, 236753, 1202, 2802, 531, 9526, 236789, 236751, 9299, 573, 15744, 60973, 568, 2217, 2487, 528, 1873, 6436, 236768, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 12808, 573, 5125, 17909, 573, 1239, 14175, 768, 1239, 53946, 9851, 659, 29368, 236881, 138, 107, 236778, 236768, 43550, 44426, 17253, 573, 1239, 9851, 531, 30091, 11211, 607, 3272, 236881, 138, 107, 236800, 236768, 7179, 573, 4767, 5405, 6950, 528, 506, 2587, 1076, 529, 236743, 236770, 236810, 46331, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 23068, 7946, 531, 13251, 532, 1202, 1601, 8159, 506, 1791, 16746, 532, 3439, 236761, 5315, 236764, 740, 611, 2426, 837, 9576, 528, 13251, 735, 23068, 51875, 3019, 2487, 236881, 4298, 236764, 564, 236789, 236753, 1133, 531, 974, 9813, 14415, 1938, 573, 506, 1903, 236743, 236800, 23068, 19005, 528, 1724, 9576, 531, 2731, 1041, 76717, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110342, 236779, 54018, 1083, 78493, 1201, 1083, 623, 162890, 7201, 1488, 2713, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 22141, 236779, 2084, 1083, 623, 97422, 26192, 827, 623, 69518, 1083, 623, 49789, 827, 623, 52511, 236779, 15897, 1083, 11058, 61732, 46811, 45251, 827, 623, 144820, 1257, 152254, 3714, 1201, 1083, 623, 37889, 575, 2665, 827, 623, 13647, 1083, 623, 197615, 68991, 827, 623, 22141, 236779, 2084, 1083, 623, 1479, 1172, 26192, 827, 623, 69518, 1083, 623, 146405, 827, 623, 52511, 236779, 15897, 1083, 11058, 42554, 236762, 827, 623, 61732, 46811, 45251, 152254, 3714, 1201, 1083, 623, 208914, 117731, 827, 623, 13647, 1083, 623, 11746, 1193, 2304, 827, 623, 22141, 236779, 2084, 1083, 623, 5047, 26192, 827, 623, 69518, 1083, 623, 3243, 68681, 827, 623, 52511, 236779, 15897, 1083, 11058, 144820, 1257, 827, 623, 42554, 236762, 152254, 3714, 1201, 1083, 623, 5015, 601, 569, 134389, 827, 623, 13647, 1083, 623, 236863, 17037, 1364, 827, 623, 22141, 236779, 2084, 1083, 623, 97422, 26192, 827, 623, 69518, 1083, 623, 146405, 827, 623, 52511, 236779, 15897, 1083, 11058, 61732, 46811, 45251, 152254, 3714, 1201, 1083, 623, 236953, 112943, 4634, 11877, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 22141, 236779, 2084, 1083, 623, 97422, 26192, 827, 623, 69518, 1083, 623, 91334, 827, 623, 52511, 236779, 15897, 1083, 11058, 144820, 1257, 1935, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 162890, 7201, 1488, 2713, 827, 623, 7125, 1083, 3714, 13647, 1083, 623, 236806, 143204, 827, 623, 14801, 1083, 623, 85226, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236770, 236810, 236761, 236828, 236832, 236770, 236778, 236764, 623, 14716, 1083, 753, 236819, 236832, 236761, 236771, 236828, 236771, 236825, 5237, 623, 22141, 236779, 149354, 1083, 3714, 28128, 236779, 22141, 236779, 4603, 1083, 623, 236778, 236772, 236812, 15930, 827, 623, 9783, 236779, 19458, 1083, 623, 12055, 753, 6198, 827, 623, 22141, 236779, 2084, 1083, 623, 199957, 7642, 19005, 236764, 1902, 236772, 1999, 2378, 236772, 4240, 1523, 2541, 657, 1491, 112943, 4634, 11877, 23179, 623, 41907, 1083, 3714, 7632, 236779, 27495, 1083, 623, 236778, 236825, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236810, 236772, 236778, 236810, 7251, 236786, 236754, 39572, 827, 623, 47129, 236753, 236779, 5909, 1083, 623, 166920, 23179, 623, 52511, 236779, 15897, 1083, 11058, 144820, 1257, 827, 623, 61732, 46811, 45251, 827, 623, 42554, 127312, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110342, 236779, 54018, 1083, 78493, 1201, 1083, 623, 37889, 575, 2665, 827, 623, 7125, 1083, 3714, 13647, 1083, 623, 197615, 68991, 827, 623, 14801, 1083, 623, 85226, 23179, 623, 41907, 1083, 3714, 22141, 236779, 4603, 1083, 623, 236778, 236772, 236812, 6172, 827, 623, 22141, 236779, 23735, 1083, 623, 236828, 236772, 236770, 236778, 9093, 827, 623, 15879, 1083, 623, 8565, 26600, 657, 236743, 236770, 236771, 236772, 236770, 236810, 55717, 827, 623, 7632, 236779, 7617, 1083, 623, 236778, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 23179, 623, 52511, 236779, 15897, 1083, 3714, 18700, 1083, 1847, 236764, 623, 69307, 1083, 11058, 61732, 46811, 45251, 827, 623, 144820, 1257, 14255, 623, 52511, 236779, 7414, 1083, 623, 236832, 236772, 1496, 23179, 623, 9783, 236779, 19458, 1083, 623, 12055, 753, 6198, 827, 623, 47129, 236753, 236779, 5909, 1083, 623, 166920, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110342, 236779, 7284, 1083, 3714, 1201, 1083, 623, 208914, 117731, 827, 623, 7125, 1083, 3714, 13647, 1083, 623, 11746, 1193, 2304, 827, 623, 14801, 1083, 623, 85226, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236770, 236832, 236761, 236825, 236825, 236825, 236832, 236764, 623, 41713, 1083, 753, 236770, 236771, 236770, 236761, 236825, 236770, 236825, 236832, 5237, 623, 41907, 1083, 3714, 22141, 236779, 4603, 1083, 623, 236778, 236772, 236812, 15930, 827, 623, 22141, 236779, 23735, 1083, 623, 236770, 236778, 236772, 236770, 236810, 9093, 827, 623, 15879, 1083, 623, 12098, 39572, 827, 623, 7632, 236779, 27495, 1083, 623, 236778, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 23179, 623, 22141, 236779, 149354, 1083, 3714, 2084, 1083, 623, 97422, 2541, 827, 623, 69518, 1083, 623, 146405, 531, 23703, 827, 623, 9783, 236779, 19458, 1083, 623, 12055, 531, 6198, 23179, 623, 1321, 43898, 236779, 15897, 1083, 11058, 144820, 1257, 827, 623, 61732, 15457, 45251, 14255, 623, 228652, 1083, 623, 166920, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 23068, 1938, 573, 822, 1903, 236743, 236800, 23068, 19005, 528, 13251, 236787, 108, 236770, 236761, 5213, 162890, 7201, 1488, 2713, 568, 236806, 143204, 62902, 107, 139, 236772, 37919, 9250, 236787, 104403, 7642, 19005, 568, 14447, 236772, 1999, 2378, 236772, 4240, 1523, 2541, 657, 1491, 112943, 4634, 236768, 107, 139, 236772, 32288, 236787, 236743, 236778, 236772, 236812, 236757, 11707, 236764, 236743, 236778, 236825, 237366, 236780, 1813, 236764, 236743, 236770, 236810, 236772, 236778, 236810, 11375, 236786, 236754, 39572, 29146, 107, 139, 236772, 8890, 20273, 236787, 3353, 753, 6198, 107, 139, 236772, 74544, 8381, 236787, 76212, 1257, 236764, 28406, 46811, 45251, 236764, 18324, 127312, 108, 236778, 236761, 5213, 37889, 575, 2665, 568, 197615, 68991, 62902, 107, 139, 236772, 37919, 9250, 236787, 74632, 2541, 568, 146405, 236768, 107, 139, 236772, 32288, 236787, 236743, 236778, 236772, 236812, 765, 11707, 236764, 236743, 236828, 236772, 236770, 236778, 236751, 2846, 236764, 236743, 236770, 236771, 236772, 236770, 236810, 2467, 39572, 29146, 236764, 236743, 236778, 236828, 237366, 236780, 1813, 107, 139, 236772, 8890, 20273, 236787, 3353, 753, 6198, 107, 139, 236772, 74544, 8381, 236787, 28406, 46811, 45251, 236764, 76212, 1257, 568, 236832, 236772, 1496, 49054, 236768, 108, 236800, 236761, 5213, 208914, 117731, 568, 11746, 1193, 2304, 62902, 107, 139, 236772, 37919, 9250, 236787, 11877, 2541, 568, 146405, 236772, 49789, 236768, 107, 139, 236772, 32288, 236787, 236743, 236778, 236772, 236812, 236757, 11707, 236764, 236743, 236770, 236778, 236772, 236770, 236810, 236751, 2846, 236764, 2214, 39572, 29146, 236764, 236743, 236778, 236828, 237366, 236780, 1813, 107, 139, 236772, 8890, 20273, 236787, 3353, 753, 6198, 107, 139, 236772, 74544, 8381, 236787, 76212, 1257, 236764, 28406, 46811, 45251, 108, 3243, 1806, 11024, 735, 5158, 23068, 51875, 3019, 236761, 1701, 1759, 236772, 2289, 6794, 36209, 532, 6573, 3439, 236764, 564, 5840, 16329, 236787, 107, 236770, 236761, 76212, 1257, 573, 34499, 7201, 1488, 2713, 532, 145143, 117731, 107, 236778, 236761, 28406, 46811, 45251, 573, 22168, 575, 2665, 107, 236800, 236761, 18324, 127312, 573, 34499, 7201, 1488, 2713, 236789, 236751, 6573, 3439, 108, 38786, 611, 1133, 786, 531, 2426, 1873, 3439, 573, 1027, 3530, 7075, 1699, 1061, 14415, 2509, 5853, 236881, 1637, 834, 236764, 5091, 2847, 506, 7075, 5853, 699, 822, 12373, 2509, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 23068, 7946, 531, 13251, 532, 1202, 1601, 8159, 506, 1791, 16746, 532, 3439, 236761, 5315, 236764, 740, 611, 2426, 837, 9576, 528, 13251, 735, 23068, 51875, 3019, 2487, 236881, 4298, 236764, 564, 236789, 236753, 1133, 531, 974, 9813, 14415, 1938, 573, 506, 1903, 236743, 236800, 23068, 19005, 528, 1724, 9576, 531, 2731, 1041, 76717, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110342, 236779, 54018, 1083, 78493, 1201, 1083, 623, 162890, 7201, 1488, 2713, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 22141, 236779, 2084, 1083, 623, 97422, 26192, 827, 623, 69518, 1083, 623, 49789, 827, 623, 52511, 236779, 15897, 1083, 11058, 61732, 46811, 45251, 827, 623, 144820, 1257, 152254, 3714, 1201, 1083, 623, 37889, 575, 2665, 827, 623, 13647, 1083, 623, 197615, 68991, 827, 623, 22141, 236779, 2084, 1083, 623, 1479, 1172, 26192, 827, 623, 69518, 1083, 623, 146405, 827, 623, 52511, 236779, 15897, 1083, 11058, 42554, 236762, 827, 623, 61732, 46811, 45251, 152254, 3714, 1201, 1083, 623, 208914, 117731, 827, 623, 13647, 1083, 623, 11746, 1193, 2304, 827, 623, 22141, 236779, 2084, 1083, 623, 5047, 26192, 827, 623, 69518, 1083, 623, 3243, 68681, 827, 623, 52511, 236779, 15897, 1083, 11058, 144820, 1257, 827, 623, 42554, 236762, 152254, 3714, 1201, 1083, 623, 5015, 601, 569, 134389, 827, 623, 13647, 1083, 623, 236863, 17037, 1364, 827, 623, 22141, 236779, 2084, 1083, 623, 97422, 26192, 827, 623, 69518, 1083, 623, 146405, 827, 623, 52511, 236779, 15897, 1083, 11058, 61732, 46811, 45251, 152254, 3714, 1201, 1083, 623, 236953, 112943, 4634, 11877, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 22141, 236779, 2084, 1083, 623, 97422, 26192, 827, 623, 69518, 1083, 623, 91334, 827, 623, 52511, 236779, 15897, 1083, 11058, 144820, 1257, 1935, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 162890, 7201, 1488, 2713, 827, 623, 7125, 1083, 3714, 13647, 1083, 623, 236806, 143204, 827, 623, 14801, 1083, 623, 85226, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236770, 236810, 236761, 236828, 236832, 236770, 236778, 236764, 623, 14716, 1083, 753, 236819, 236832, 236761, 236771, 236828, 236771, 236825, 5237, 623, 22141, 236779, 149354, 1083, 3714, 28128, 236779, 22141, 236779, 4603, 1083, 623, 236778, 236772, 236812, 15930, 827, 623, 9783, 236779, 19458, 1083, 623, 12055, 753, 6198, 827, 623, 22141, 236779, 2084, 1083, 623, 199957, 7642, 19005, 236764, 1902, 236772, 1999, 2378, 236772, 4240, 1523, 2541, 657, 1491, 112943, 4634, 11877, 23179, 623, 41907, 1083, 3714, 7632, 236779, 27495, 1083, 623, 236778, 236825, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236810, 236772, 236778, 236810, 7251, 236786, 236754, 39572, 827, 623, 47129, 236753, 236779, 5909, 1083, 623, 166920, 23179, 623, 52511, 236779, 15897, 1083, 11058, 144820, 1257, 827, 623, 61732, 46811, 45251, 827, 623, 42554, 127312, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110342, 236779, 54018, 1083, 78493, 1201, 1083, 623, 37889, 575, 2665, 827, 623, 7125, 1083, 3714, 13647, 1083, 623, 197615, 68991, 827, 623, 14801, 1083, 623, 85226, 23179, 623, 41907, 1083, 3714, 22141, 236779, 4603, 1083, 623, 236778, 236772, 236812, 6172, 827, 623, 22141, 236779, 23735, 1083, 623, 236828, 236772, 236770, 236778, 9093, 827, 623, 15879, 1083, 623, 8565, 26600, 657, 236743, 236770, 236771, 236772, 236770, 236810, 55717, 827, 623, 7632, 236779, 7617, 1083, 623, 236778, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 23179, 623, 52511, 236779, 15897, 1083, 3714, 18700, 1083, 1847, 236764, 623, 69307, 1083, 11058, 61732, 46811, 45251, 827, 623, 144820, 1257, 14255, 623, 52511, 236779, 7414, 1083, 623, 236832, 236772, 1496, 23179, 623, 9783, 236779, 19458, 1083, 623, 12055, 753, 6198, 827, 623, 47129, 236753, 236779, 5909, 1083, 623, 166920, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 110342, 236779, 7284, 1083, 3714, 1201, 1083, 623, 208914, 117731, 827, 623, 7125, 1083, 3714, 13647, 1083, 623, 11746, 1193, 2304, 827, 623, 14801, 1083, 623, 85226, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236770, 236832, 236761, 236825, 236825, 236825, 236832, 236764, 623, 41713, 1083, 753, 236770, 236771, 236770, 236761, 236825, 236770, 236825, 236832, 5237, 623, 41907, 1083, 3714, 22141, 236779, 4603, 1083, 623, 236778, 236772, 236812, 15930, 827, 623, 22141, 236779, 23735, 1083, 623, 236770, 236778, 236772, 236770, 236810, 9093, 827, 623, 15879, 1083, 623, 12098, 39572, 827, 623, 7632, 236779, 27495, 1083, 623, 236778, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 23179, 623, 22141, 236779, 149354, 1083, 3714, 2084, 1083, 623, 97422, 2541, 827, 623, 69518, 1083, 623, 146405, 531, 23703, 827, 623, 9783, 236779, 19458, 1083, 623, 12055, 531, 6198, 23179, 623, 1321, 43898, 236779, 15897, 1083, 11058, 144820, 1257, 827, 623, 61732, 15457, 45251, 14255, 623, 228652, 1083, 623, 166920, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 23068, 1938, 573, 822, 1903, 236743, 236800, 23068, 19005, 528, 13251, 236787, 108, 236770, 236761, 5213, 162890, 7201, 1488, 2713, 568, 236806, 143204, 62902, 107, 139, 236772, 37919, 9250, 236787, 104403, 7642, 19005, 568, 14447, 236772, 1999, 2378, 236772, 4240, 1523, 2541, 657, 1491, 112943, 4634, 236768, 107, 139, 236772, 32288, 236787, 236743, 236778, 236772, 236812, 236757, 11707, 236764, 236743, 236778, 236825, 237366, 236780, 1813, 236764, 236743, 236770, 236810, 236772, 236778, 236810, 11375, 236786, 236754, 39572, 29146, 107, 139, 236772, 8890, 20273, 236787, 3353, 753, 6198, 107, 139, 236772, 74544, 8381, 236787, 76212, 1257, 236764, 28406, 46811, 45251, 236764, 18324, 127312, 108, 236778, 236761, 5213, 37889, 575, 2665, 568, 197615, 68991, 62902, 107, 139, 236772, 37919, 9250, 236787, 74632, 2541, 568, 146405, 236768, 107, 139, 236772, 32288, 236787, 236743, 236778, 236772, 236812, 765, 11707, 236764, 236743, 236828, 236772, 236770, 236778, 236751, 2846, 236764, 236743, 236770, 236771, 236772, 236770, 236810, 2467, 39572, 29146, 236764, 236743, 236778, 236828, 237366, 236780, 1813, 107, 139, 236772, 8890, 20273, 236787, 3353, 753, 6198, 107, 139, 236772, 74544, 8381, 236787, 28406, 46811, 45251, 236764, 76212, 1257, 568, 236832, 236772, 1496, 49054, 236768, 108, 236800, 236761, 5213, 208914, 117731, 568, 11746, 1193, 2304, 62902, 107, 139, 236772, 37919, 9250, 236787, 11877, 2541, 568, 146405, 236772, 49789, 236768, 107, 139, 236772, 32288, 236787, 236743, 236778, 236772, 236812, 236757, 11707, 236764, 236743, 236770, 236778, 236772, 236770, 236810, 236751, 2846, 236764, 2214, 39572, 29146, 236764, 236743, 236778, 236828, 237366, 236780, 1813, 107, 139, 236772, 8890, 20273, 236787, 3353, 753, 6198, 107, 139, 236772, 74544, 8381, 236787, 76212, 1257, 236764, 28406, 46811, 45251, 108, 3243, 1806, 11024, 735, 5158, 23068, 51875, 3019, 236761, 1701, 1759, 236772, 2289, 6794, 36209, 532, 6573, 3439, 236764, 564, 5840, 16329, 236787, 107, 236770, 236761, 76212, 1257, 573, 34499, 7201, 1488, 2713, 532, 145143, 117731, 107, 236778, 236761, 28406, 46811, 45251, 573, 22168, 575, 2665, 107, 236800, 236761, 18324, 127312, 573, 34499, 7201, 1488, 2713, 236789, 236751, 6573, 3439, 108, 38786, 611, 1133, 786, 531, 2426, 1873, 3439, 573, 1027, 3530, 7075, 1699, 1061, 14415, 2509, 5853, 236881, 1637, 834, 236764, 5091, 2847, 506, 7075, 5853, 699, 822, 12373, 2509, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 2258, 236772, 90841, 18241, 3997, 10368, 573, 1041, 10002, 2434, 532, 4024, 625, 53036, 236761, 5315, 236764, 7352, 640, 12747, 2258, 236743, 236778, 236778, 236771, 236764, 236743, 236812, 236810, 10014, 236743, 236825, 236771, 236908, 531, 144523, 573, 506, 10368, 236789, 236751, 12093, 2258, 236761, 4298, 8729, 496, 2822, 236764, 9584, 10739, 531, 30016, 506, 2354, 236761, 1637, 506, 10739, 8299, 20269, 2779, 531, 3861, 6035, 236764, 6253, 506, 144523, 3393, 236789, 236751, 6518, 532, 52312, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17102, 1083, 13659, 236812, 236771, 236825, 9236, 236800, 25938, 106, 107, 105, 4368, 107, 9366, 2847, 506, 1440, 10739, 529, 506, 2354, 611, 1461, 531, 4024, 236764, 532, 564, 236789, 859, 8729, 496, 9584, 2822, 10739, 573, 611, 236761, 1637, 611, 10366, 236789, 236745, 4464, 506, 2354, 3819, 236764, 611, 236789, 859, 1202, 531, 776, 834, 1171, 1680, 20150, 506, 4024, 742, 3205, 236761, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 1440, 10739, 529, 506, 2354, 236787, 4560, 1411, 8358, 236761, 854, 236786, 46589, 236779, 41413, 236779, 236766, 236778, 236771, 236778, 236800, 236761, 236770, 236770, 236761, 236770, 236810, 7323, 8729, 496, 9584, 2822, 10739, 1699, 506, 8729, 236779, 15721, 236779, 2451, 5904, 236761, 1637, 506, 4068, 5686, 20269, 2779, 531, 3861, 15166, 236764, 17114, 506, 144523, 3393, 6518, 699, 997, 236794, 37278, 8242, 236799, 531, 997, 39730, 138425, 768, 2653, 236764, 532, 52312, 506, 10739, 8299, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 236779, 2451, 1083, 623, 2574, 1411, 716, 236761, 1364, 236786, 18034, 236778, 236771, 236778, 236800, 236766, 236778, 25938, 106, 107, 105, 4368, 107, 11069, 2258, 236772, 90841, 18241, 10368, 563, 5508, 236787, 107, 236772, 5213, 8436, 2258, 144523, 3393, 53121, 214716, 236812, 236771, 236825, 9236, 236800, 236929, 568, 107642, 699, 640, 12747, 236743, 236778, 236778, 236771, 236764, 236743, 236812, 236810, 10014, 236743, 236825, 236771, 11376, 107, 236772, 5213, 85692, 2822, 10739, 53121, 870, 2574, 1411, 716, 236761, 1364, 236786, 18034, 236778, 236771, 236778, 236800, 236766, 236778, 5457, 2574, 1411, 716, 236761, 1364, 236786, 18034, 236778, 236771, 236778, 236800, 236766, 236778, 236768, 138, 108, 3771, 30981, 964, 4354, 573, 506, 144523, 6518, 236764, 618, 506, 10739, 8299, 30352, 580, 506, 1171, 5686, 236761, 19148, 506, 2822, 10739, 607, 822, 2434, 53036, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 2258, 236772, 90841, 18241, 3997, 10368, 573, 1041, 10002, 2434, 532, 4024, 625, 53036, 236761, 5315, 236764, 7352, 640, 12747, 2258, 236743, 236778, 236778, 236771, 236764, 236743, 236812, 236810, 10014, 236743, 236825, 236771, 236908, 531, 144523, 573, 506, 10368, 236789, 236751, 12093, 2258, 236761, 4298, 8729, 496, 2822, 236764, 9584, 10739, 531, 30016, 506, 2354, 236761, 1637, 506, 10739, 8299, 20269, 2779, 531, 3861, 6035, 236764, 6253, 506, 144523, 3393, 236789, 236751, 6518, 532, 52312, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17102, 1083, 13659, 236812, 236771, 236825, 9236, 236800, 25938, 106, 107, 105, 4368, 107, 9366, 2847, 506, 1440, 10739, 529, 506, 2354, 611, 1461, 531, 4024, 236764, 532, 564, 236789, 859, 8729, 496, 9584, 2822, 10739, 573, 611, 236761, 1637, 611, 10366, 236789, 236745, 4464, 506, 2354, 3819, 236764, 611, 236789, 859, 1202, 531, 776, 834, 1171, 1680, 20150, 506, 4024, 742, 3205, 236761, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 1440, 10739, 529, 506, 2354, 236787, 4560, 1411, 8358, 236761, 854, 236786, 46589, 236779, 41413, 236779, 236766, 236778, 236771, 236778, 236800, 236761, 236770, 236770, 236761, 236770, 236810, 7323, 8729, 496, 9584, 2822, 10739, 1699, 506, 8729, 236779, 15721, 236779, 2451, 5904, 236761, 1637, 506, 4068, 5686, 20269, 2779, 531, 3861, 15166, 236764, 17114, 506, 144523, 3393, 6518, 699, 997, 236794, 37278, 8242, 236799, 531, 997, 39730, 138425, 768, 2653, 236764, 532, 52312, 506, 10739, 8299, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 236779, 2451, 1083, 623, 2574, 1411, 716, 236761, 1364, 236786, 18034, 236778, 236771, 236778, 236800, 236766, 236778, 25938, 106, 107, 105, 4368, 107, 11069, 2258, 236772, 90841, 18241, 10368, 563, 5508, 236787, 107, 236772, 5213, 8436, 2258, 144523, 3393, 53121, 214716, 236812, 236771, 236825, 9236, 236800, 236929, 568, 107642, 699, 640, 12747, 236743, 236778, 236778, 236771, 236764, 236743, 236812, 236810, 10014, 236743, 236825, 236771, 11376, 107, 236772, 5213, 85692, 2822, 10739, 53121, 870, 2574, 1411, 716, 236761, 1364, 236786, 18034, 236778, 236771, 236778, 236800, 236766, 236778, 5457, 2574, 1411, 716, 236761, 1364, 236786, 18034, 236778, 236771, 236778, 236800, 236766, 236778, 236768, 138, 108, 3771, 30981, 964, 4354, 573, 506, 144523, 6518, 236764, 618, 506, 10739, 8299, 30352, 580, 506, 1171, 5686, 236761, 19148, 506, 2822, 10739, 607, 822, 2434, 53036, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 12498, 236772, 24333, 236888, 564, 236789, 560, 1010, 6972, 1003, 32316, 1131, 25338, 531, 1601, 3055, 1041, 3399, 1610, 3988, 19424, 236761, 3199, 611, 4087, 506, 1873, 6527, 532, 2436, 1262, 573, 24242, 236764, 49180, 236764, 532, 200986, 236881, 564, 5630, 9903, 49180, 236858, 236751, 12809, 531, 85046, 236764, 837, 11421, 1161, 236764, 532, 200986, 236858, 236751, 1010, 70476, 872, 528, 1070, 14896, 21189, 564, 13098, 855, 528, 236761, 3792, 236858, 236751, 1460, 1144, 1239, 1385, 1133, 1680, 564, 3600, 496, 25338, 75693, 531, 1041, 2263, 1610, 13919, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 76688, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236825, 236800, 236812, 236778, 236771, 236761, 236810, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236770, 236778, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 124977, 236779, 1516, 1083, 3714, 236770, 236779, 1496, 1083, 3714, 9707, 236779, 502, 236779, 3041, 1083, 236743, 236825, 236778, 236771, 236771, 236771, 236761, 236771, 236764, 623, 9707, 236779, 502, 236779, 643, 1083, 236743, 236825, 236800, 236812, 236778, 236771, 236761, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 159030, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236810, 236828, 236778, 236761, 236812, 236810, 236764, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236800, 236828, 236832, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 124977, 236779, 1516, 1083, 3714, 236770, 236779, 1496, 1083, 3714, 62938, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236770, 236771, 236761, 236778, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236800, 236810, 236761, 236832, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236832, 236828, 236761, 236800, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236828, 236778, 236761, 236812, 236810, 15947, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 23013, 1925, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236812, 236778, 236761, 236800, 236810, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 9707, 236779, 18308, 1083, 3714, 5455, 236779, 236778, 236812, 236779, 24392, 1083, 3714, 78353, 1083, 236743, 236770, 236812, 236810, 236761, 236828, 236764, 623, 117835, 1083, 236743, 236770, 236800, 236819, 236761, 236770, 1263, 623, 5455, 236779, 1496, 1083, 3714, 9707, 1083, 236743, 236770, 236812, 236771, 236761, 236770, 236764, 623, 4177, 236779, 45118, 1083, 236743, 236770, 236761, 236825, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 1262, 573, 506, 29041, 29479, 611, 236789, 500, 11337, 236787, 108, 1018, 76688, 568, 100725, 62902, 107, 236772, 14040, 3385, 236787, 609, 236825, 236800, 236764, 236812, 236778, 236771, 236761, 236810, 236771, 107, 236772, 12726, 1670, 236787, 609, 236770, 236761, 236778, 236800, 44721, 107, 236772, 236743, 236778, 236812, 236754, 2352, 236787, 900, 236778, 236761, 236800, 236810, 236908, 107, 236772, 34980, 43866, 236787, 630, 6628, 699, 609, 236825, 236778, 236764, 236771, 236771, 236771, 531, 609, 236825, 236800, 236764, 236812, 236778, 236771, 528, 1774, 236743, 236778, 236812, 3885, 108, 1018, 159030, 568, 19642, 62902, 107, 236772, 14040, 3385, 236787, 609, 236800, 236764, 236810, 236828, 236778, 236761, 236812, 236810, 107, 236772, 12726, 1670, 236787, 609, 236812, 236800, 236828, 236761, 236832, 236810, 7889, 107, 236772, 236743, 236778, 236812, 236754, 2352, 236787, 900, 236778, 236761, 236770, 236810, 236908, 107, 236772, 164577, 236787, 52378, 1346, 35088, 14175, 532, 65618, 1610, 156251, 108, 1018, 23013, 1925, 568, 52762, 62902, 107, 236772, 14040, 3385, 236787, 609, 236770, 236812, 236778, 236761, 236800, 236810, 107, 236772, 12726, 1670, 236787, 609, 236812, 236810, 236761, 236828, 7889, 107, 236772, 236743, 236778, 236812, 236754, 2352, 236787, 900, 236778, 236761, 236770, 236810, 236908, 107, 236772, 6285, 26633, 236787, 1733, 13496, 1534, 609, 236770, 236800, 236819, 236761, 236770, 236771, 532, 609, 236770, 236812, 236810, 236761, 236828, 236771, 528, 1774, 236743, 236778, 236812, 3885, 108, 3243, 1806, 1407, 4414, 14700, 607, 3361, 236743, 236778, 236772, 236778, 236761, 236800, 236810, 236908, 22656, 3124, 236761, 49180, 236789, 236751, 3707, 7474, 19659, 573, 5177, 1610, 236786, 66086, 236751, 236764, 1651, 200986, 5469, 11442, 16788, 657, 3718, 5384, 236761, 24242, 32618, 1061, 2939, 618, 506, 7488, 36963, 684, 2436, 1670, 236761, 108, 38786, 611, 1133, 786, 531, 18840, 837, 2473, 577, 1346, 9273, 573, 496, 3399, 75693, 236764, 653, 2426, 1027, 1032, 25338, 19455, 236881, 106, 107, 105, 2364, 107, 12879, 573, 15512, 600, 1679, 236888, 3792, 236858, 236751, 3137, 19276, 236761, 28344, 611, 10769, 49180, 236858, 236751, 4314, 12412, 14922, 200986, 236858, 236751, 12562, 5384, 1024, 506, 3068, 2297, 236881, 6542, 236764, 2426, 768, 4913, 35088, 1610, 14175, 1133, 7607, 46811, 653, 170215, 1253, 25139, 607, 3477, 28971, 236761, 1452, 886, 919, 3210, 1271, 8091, 506, 236743, 236800, 236771, 236772, 1496, 43866, 20673, 573, 1800, 57480, 532, 35183, 236761, 564, 1461, 531, 1281, 837, 1093, 577, 919, 10231, 573, 2263, 11421, 1015, 2473, 39540, 653, 14309, 528, 506, 75693, 236761, 26959, 12412, 532, 11646, 1093, 4217, 919, 1082, 4249, 768, 1346, 18361, 10050, 236858, 236745, 14896, 11848, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 159030, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236810, 236828, 236778, 236761, 236810, 236812, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236800, 236771, 236770, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236770, 236761, 236800, 236812, 236764, 623, 124977, 236779, 1516, 1083, 3714, 14356, 236779, 86060, 1083, 236743, 236800, 236771, 236764, 623, 28128, 236779, 9707, 1083, 236743, 236800, 236812, 236778, 236770, 236761, 236828, 236819, 236764, 623, 4477, 26633, 236779, 6161, 236779, 5099, 1083, 236743, 236770, 236812, 236810, 236761, 236800, 236778, 236764, 623, 9707, 236779, 11480, 1083, 236743, 236800, 236828, 236778, 236771, 236761, 236770, 236810, 236764, 623, 9707, 236779, 976, 1083, 236743, 236800, 236770, 236778, 236810, 236761, 236832, 236800, 236764, 623, 58043, 1083, 623, 174991, 5676, 607, 4869, 43866, 528, 1774, 236743, 236832, 2668, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 23013, 1925, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236800, 236778, 236761, 236812, 236810, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236810, 236832, 236764, 623, 124977, 236779, 1516, 1083, 3714, 236800, 236771, 236779, 14356, 1083, 870, 236770, 236778, 236828, 236761, 236800, 236764, 236743, 236770, 236778, 236832, 236761, 236770, 236810, 236764, 236743, 236770, 236778, 236819, 236761, 236828, 236764, 236743, 236770, 236800, 236770, 236761, 236778, 236764, 236743, 236770, 236800, 236771, 236761, 236812, 236810, 236764, 236743, 236770, 236778, 236819, 236761, 236825, 236764, 236743, 236770, 236778, 236828, 236761, 236819, 236764, 236743, 236770, 236800, 236771, 236761, 236770, 236764, 236743, 236770, 236800, 236778, 236761, 236832, 236810, 236764, 236743, 236770, 236800, 236800, 236761, 236825, 236764, 236743, 236770, 236800, 236812, 236761, 236778, 236764, 236743, 236770, 236800, 236800, 236761, 236770, 236764, 236743, 236770, 236800, 236778, 236761, 236828, 236810, 236764, 236743, 236770, 236800, 236770, 236761, 236810, 236810, 236764, 236743, 236770, 236800, 236771, 236761, 236819, 236764, 236743, 236770, 236778, 236819, 236761, 236832, 236810, 236764, 236743, 236770, 236778, 236828, 236761, 236825, 236764, 236743, 236770, 236778, 236832, 236761, 236812, 236810, 236764, 236743, 236770, 236778, 236828, 236761, 236800, 236764, 236743, 236770, 236778, 236819, 236761, 236770, 236810, 236764, 236743, 236770, 236800, 236771, 236761, 236828, 236764, 236743, 236770, 236800, 236770, 236761, 236819, 236764, 236743, 236770, 236800, 236778, 236761, 236810, 236764, 236743, 236770, 236800, 236800, 236761, 236800, 236764, 236743, 236770, 236800, 236812, 236761, 236771, 236810, 236764, 236743, 236770, 236800, 236800, 236761, 236832, 236764, 236743, 236770, 236800, 236778, 236761, 236812, 236764, 236743, 236770, 236800, 236770, 236761, 236828, 236764, 236743, 236770, 236800, 236771, 236761, 236825, 236810, 236764, 236743, 236770, 236778, 236819, 236761, 236810, 59117, 623, 9707, 236779, 4177, 236779, 23251, 1083, 3714, 236832, 236753, 1083, 236743, 236812, 236761, 236770, 236778, 236764, 623, 236800, 236771, 236753, 1083, 236743, 236828, 236761, 236832, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 2721, 580, 822, 28304, 236787, 108, 1018, 202477, 36520, 568, 236800, 236771, 236772, 13265, 62902, 107, 236772, 5213, 159030, 568, 19642, 1473, 1018, 236743, 107, 138, 236772, 14584, 2644, 236787, 609, 236800, 236764, 236770, 236778, 236810, 753, 609, 236800, 236764, 236828, 236778, 236771, 107, 138, 236772, 29748, 3385, 236787, 609, 236800, 236764, 236812, 236778, 236770, 107, 138, 236772, 13029, 21012, 236787, 609, 236770, 236812, 236810, 568, 236812, 236761, 236778, 236908, 529, 4398, 236768, 107, 138, 236772, 27593, 236787, 104036, 26876, 7003, 607, 4869, 43866, 5569, 108, 236772, 5213, 23013, 1925, 568, 52762, 1473, 1018, 107, 138, 236772, 14584, 2644, 236787, 609, 236770, 236778, 236832, 753, 609, 236770, 236800, 236812, 236761, 236832, 236810, 107, 138, 236772, 29748, 3385, 236787, 202721, 236770, 236800, 236771, 107, 138, 236772, 13029, 21012, 236787, 202721, 236778, 236761, 236800, 568, 236770, 236761, 236828, 236908, 529, 4398, 236768, 107, 138, 236772, 27593, 236787, 132707, 236743, 236828, 236761, 236832, 236810, 236908, 3877, 607, 11893, 6376, 60956, 108, 1018, 47609, 63306, 833, 27239, 56484, 568, 14947, 30036, 62902, 107, 236772, 5213, 159030, 53121, 236743, 107, 138, 236772, 29748, 4314, 12412, 236787, 609, 236770, 236810, 236772, 236810, 236771, 810, 12562, 568, 4881, 38679, 531, 609, 236770, 236771, 236771, 236862, 1913, 46535, 236768, 107, 138, 236772, 23737, 1090, 35088, 14175, 236787, 64382, 13148, 607, 7607, 46811, 236764, 170215, 1253, 236764, 11032, 107, 138, 236772, 48823, 236787, 102323, 18481, 236764, 14810, 4087, 3423, 573, 5177, 1610, 108, 236772, 5213, 23013, 1925, 53121, 107, 138, 236772, 29748, 12412, 236787, 202721, 236771, 236761, 236771, 236771, 236770, 810, 12562, 107, 138, 236772, 58078, 22109, 236787, 107425, 684, 6548, 670, 1918, 568, 23013, 1925, 236789, 236751, 35088, 4077, 779, 93877, 607, 28406, 56431, 236764, 532, 5809, 7607, 46811, 1894, 107, 138, 236772, 48823, 236787, 25634, 236772, 13321, 12412, 1386, 625, 15283, 573, 1908, 236772, 79205, 5089, 108, 1018, 211199, 573, 11493, 9642, 57710, 1018, 107, 2542, 822, 1161, 1624, 568, 9181, 236772, 78885, 11421, 132187, 2157, 532, 11646, 1473, 107, 236770, 236761, 5213, 23013, 1925, 1018, 1093, 577, 919, 10231, 573, 236787, 107, 139, 236772, 25634, 236772, 13321, 12562, 5384, 107, 139, 236772, 14584, 11646, 568, 236770, 236761, 236828, 236908, 43866, 7728, 57480, 236789, 236751, 236743, 236812, 236761, 236778, 11376, 107, 139, 236772, 164557, 2430, 2707, 108, 236778, 236761, 5213, 159030, 1018, 2473, 577, 2480, 768, 236787, 107, 139, 236772, 1599, 1202, 2802, 531, 6697, 35088, 156251, 107, 139, 236772, 5185, 913, 3016, 2768, 57480, 236786, 30780, 236772, 236778, 236771, 21739, 107, 139, 236772, 8099, 236772, 6061, 1550, 33862, 11949, 919, 1082, 12412, 108, 38786, 611, 1133, 786, 531, 3600, 16217, 12668, 568, 21973, 522, 1800, 236768, 653, 11327, 3530, 27173, 5434, 600, 30091, 25338, 29201, 573, 1908, 236772, 79205, 5089, 236881, 106, 107, 105, 2364, 107, 2046, 192716, 506, 25890, 236888, 3792, 236858, 236751, 3213, 580, 14860, 236761, 28344, 611, 5840, 3530, 27173, 5434, 568, 5282, 76089, 573, 200986, 653, 163871, 573, 49180, 236768, 600, 30091, 11985, 29201, 573, 1908, 236772, 79205, 5089, 236881, 6542, 236764, 2426, 768, 14175, 1133, 3764, 218712, 653, 182655, 25139, 607, 3477, 28971, 573, 170047, 236761, 64747, 236764, 16807, 768, 993, 659, 1027, 11497, 5384, 6998, 12562, 12412, 568, 236744, 236761, 236759, 1126, 27173, 10884, 236764, 14274, 531, 85570, 236768, 600, 2473, 4208, 506, 75693, 236858, 236751, 36453, 573, 2263, 11421, 236761, 19704, 672, 531, 12861, 496, 3582, 2731, 531, 1041, 13919, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 3421, 822, 14860, 4137, 2721, 580, 2870, 4654, 568, 25142, 1239, 10050, 236789, 236745, 7438, 684, 506, 3385, 52299, 5904, 1473, 108, 1018, 52161, 91330, 573, 10645, 236772, 58972, 27480, 1018, 107, 236772, 5213, 159030, 568, 19642, 236786, 66086, 236751, 1473, 1018, 107, 138, 236772, 5213, 24066, 23389, 1018, 568, 18625, 9980, 236786, 23104, 1473, 20467, 4077, 607, 3606, 7937, 236764, 5284, 236772, 495, 35088, 3034, 236764, 532, 85570, 580, 236772, 1043, 975, 107, 138, 236772, 5213, 44603, 5521, 62522, 1018, 568, 23104, 1473, 35671, 12434, 607, 140434, 8770, 236764, 3735, 3717, 236786, 44916, 25338, 4065, 107, 138, 236772, 5213, 55006, 62522, 1018, 568, 23104, 1473, 97570, 5065, 21896, 236764, 38990, 1702, 573, 50415, 108, 236772, 5213, 23013, 1925, 568, 52762, 1473, 1018, 107, 138, 236772, 5213, 156348, 1018, 568, 18625, 236786, 23104, 1473, 20840, 7937, 236764, 44426, 3393, 29201, 236764, 532, 200986, 18481, 12434, 107, 138, 236772, 5213, 23013, 52717, 1018, 568, 18625, 236786, 23104, 1473, 7486, 236772, 18865, 607, 5284, 236772, 495, 35088, 15707, 532, 152416, 4065, 107, 138, 236772, 5213, 5566, 2658, 1018, 568, 23013, 1925, 236772, 21877, 1473, 221731, 27173, 5402, 573, 32741, 6940, 236800, 9871, 108, 1018, 34399, 30802, 25396, 17078, 847, 1018, 107, 236772, 5213, 5988, 218712, 53121, 75472, 236789, 236745, 232011, 1894, 25338, 236764, 840, 611, 740, 236787, 107, 138, 236772, 4140, 27173, 19246, 531, 7073, 29141, 107, 138, 236772, 6890, 4168, 236772, 7362, 44505, 1133, 14284, 11882, 653, 140434, 26830, 107, 236772, 5213, 236791, 11192, 498, 53121, 89357, 35007, 25338, 27173, 19246, 528, 20183, 840, 951, 1982, 28971, 12434, 107, 236772, 5213, 23244, 1662, 123747, 53121, 107, 138, 236772, 5213, 35152, 11894, 1018, 568, 159030, 236772, 41889, 24027, 236768, 107, 138, 236772, 5213, 236796, 6888, 804, 1018, 568, 23013, 1925, 236772, 21877, 131218, 236768, 107, 138, 236772, 5213, 91414, 48420, 1018, 568, 23013, 1925, 4252, 35088, 131218, 236768, 108, 1018, 52115, 56484, 531, 14066, 1018, 107, 236770, 236761, 5213, 52161, 37827, 53121, 9617, 573, 784, 3262, 51424, 107, 236778, 236761, 5213, 47609, 63306, 53121, 107, 139, 236772, 49180, 236787, 609, 236770, 236810, 236772, 236810, 236771, 236862, 810, 12562, 568, 46052, 18080, 39458, 236768, 107, 139, 236772, 200986, 236787, 609, 236771, 236761, 236771, 236771, 236770, 810, 12562, 568, 226913, 554, 1253, 236768, 107, 236800, 236761, 5213, 75675, 531, 78731, 53121, 107, 139, 236772, 19651, 34549, 12412, 75720, 236795, 236770, 236771, 236772, 236778, 236810, 6648, 11317, 236768, 107, 139, 236772, 78731, 14274, 52249, 568, 236770, 236772, 236800, 236908, 11082, 236768, 107, 139, 236772, 16439, 13761, 16783, 568, 73139, 5959, 236743, 236770, 236771, 236819, 236819, 236772, 236855, 573, 1890, 236795, 236825, 236771, 236771, 236768, 107, 236812, 236761, 5213, 19120, 219220, 53121, 107, 139, 236772, 7578, 3149, 573, 27173, 4993, 107, 139, 236772, 32180, 529, 5745, 10338, 37485, 568, 32438, 137980, 5434, 236768, 108, 1018, 143389, 91330, 1018, 107, 236770, 236761, 5213, 131022, 45750, 53121, 6890, 76089, 573, 200986, 29201, 900, 140434, 62522, 573, 49180, 568, 96315, 11427, 85570, 14274, 236768, 107, 236778, 236761, 5213, 164003, 12730, 53121, 8600, 236743, 236770, 236772, 4000, 7426, 26309, 573, 27173, 10884, 107, 236800, 236761, 5213, 75675, 34428, 53121, 6890, 140434, 19651, 573, 3735, 85570, 34549, 568, 43925, 1800, 21896, 236768, 107, 236812, 236761, 5213, 145299, 53121, 40345, 1407, 39458, 600, 2578, 236770, 236772, 236800, 236908, 1149, 577, 5745, 528, 14274, 12412, 108, 38786, 611, 1133, 786, 531, 12262, 496, 5498, 75693, 3904, 607, 27173, 19246, 532, 33451, 11808, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 12498, 236772, 24333, 236888, 564, 236789, 560, 1010, 6972, 1003, 32316, 1131, 25338, 531, 1601, 3055, 1041, 3399, 1610, 3988, 19424, 236761, 3199, 611, 4087, 506, 1873, 6527, 532, 2436, 1262, 573, 24242, 236764, 49180, 236764, 532, 200986, 236881, 564, 5630, 9903, 49180, 236858, 236751, 12809, 531, 85046, 236764, 837, 11421, 1161, 236764, 532, 200986, 236858, 236751, 1010, 70476, 872, 528, 1070, 14896, 21189, 564, 13098, 855, 528, 236761, 3792, 236858, 236751, 1460, 1144, 1239, 1385, 1133, 1680, 564, 3600, 496, 25338, 75693, 531, 1041, 2263, 1610, 13919, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 76688, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236825, 236800, 236812, 236778, 236771, 236761, 236810, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236770, 236778, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 124977, 236779, 1516, 1083, 3714, 236770, 236779, 1496, 1083, 3714, 9707, 236779, 502, 236779, 3041, 1083, 236743, 236825, 236778, 236771, 236771, 236771, 236761, 236771, 236764, 623, 9707, 236779, 502, 236779, 643, 1083, 236743, 236825, 236800, 236812, 236778, 236771, 236761, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 159030, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236810, 236828, 236778, 236761, 236812, 236810, 236764, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236800, 236828, 236832, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 124977, 236779, 1516, 1083, 3714, 236770, 236779, 1496, 1083, 3714, 62938, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236770, 236771, 236761, 236778, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236800, 236810, 236761, 236832, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236832, 236828, 236761, 236800, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 236743, 236800, 236810, 236828, 236778, 236761, 236812, 236810, 15947, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 23013, 1925, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236812, 236778, 236761, 236800, 236810, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 9707, 236779, 18308, 1083, 3714, 5455, 236779, 236778, 236812, 236779, 24392, 1083, 3714, 78353, 1083, 236743, 236770, 236812, 236810, 236761, 236828, 236764, 623, 117835, 1083, 236743, 236770, 236800, 236819, 236761, 236770, 1263, 623, 5455, 236779, 1496, 1083, 3714, 9707, 1083, 236743, 236770, 236812, 236771, 236761, 236770, 236764, 623, 4177, 236779, 45118, 1083, 236743, 236770, 236761, 236825, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 1262, 573, 506, 29041, 29479, 611, 236789, 500, 11337, 236787, 108, 1018, 76688, 568, 100725, 62902, 107, 236772, 14040, 3385, 236787, 609, 236825, 236800, 236764, 236812, 236778, 236771, 236761, 236810, 236771, 107, 236772, 12726, 1670, 236787, 609, 236770, 236761, 236778, 236800, 44721, 107, 236772, 236743, 236778, 236812, 236754, 2352, 236787, 900, 236778, 236761, 236800, 236810, 236908, 107, 236772, 34980, 43866, 236787, 630, 6628, 699, 609, 236825, 236778, 236764, 236771, 236771, 236771, 531, 609, 236825, 236800, 236764, 236812, 236778, 236771, 528, 1774, 236743, 236778, 236812, 3885, 108, 1018, 159030, 568, 19642, 62902, 107, 236772, 14040, 3385, 236787, 609, 236800, 236764, 236810, 236828, 236778, 236761, 236812, 236810, 107, 236772, 12726, 1670, 236787, 609, 236812, 236800, 236828, 236761, 236832, 236810, 7889, 107, 236772, 236743, 236778, 236812, 236754, 2352, 236787, 900, 236778, 236761, 236770, 236810, 236908, 107, 236772, 164577, 236787, 52378, 1346, 35088, 14175, 532, 65618, 1610, 156251, 108, 1018, 23013, 1925, 568, 52762, 62902, 107, 236772, 14040, 3385, 236787, 609, 236770, 236812, 236778, 236761, 236800, 236810, 107, 236772, 12726, 1670, 236787, 609, 236812, 236810, 236761, 236828, 7889, 107, 236772, 236743, 236778, 236812, 236754, 2352, 236787, 900, 236778, 236761, 236770, 236810, 236908, 107, 236772, 6285, 26633, 236787, 1733, 13496, 1534, 609, 236770, 236800, 236819, 236761, 236770, 236771, 532, 609, 236770, 236812, 236810, 236761, 236828, 236771, 528, 1774, 236743, 236778, 236812, 3885, 108, 3243, 1806, 1407, 4414, 14700, 607, 3361, 236743, 236778, 236772, 236778, 236761, 236800, 236810, 236908, 22656, 3124, 236761, 49180, 236789, 236751, 3707, 7474, 19659, 573, 5177, 1610, 236786, 66086, 236751, 236764, 1651, 200986, 5469, 11442, 16788, 657, 3718, 5384, 236761, 24242, 32618, 1061, 2939, 618, 506, 7488, 36963, 684, 2436, 1670, 236761, 108, 38786, 611, 1133, 786, 531, 18840, 837, 2473, 577, 1346, 9273, 573, 496, 3399, 75693, 236764, 653, 2426, 1027, 1032, 25338, 19455, 236881, 106, 107, 105, 2364, 107, 12879, 573, 15512, 600, 1679, 236888, 3792, 236858, 236751, 3137, 19276, 236761, 28344, 611, 10769, 49180, 236858, 236751, 4314, 12412, 14922, 200986, 236858, 236751, 12562, 5384, 1024, 506, 3068, 2297, 236881, 6542, 236764, 2426, 768, 4913, 35088, 1610, 14175, 1133, 7607, 46811, 653, 170215, 1253, 25139, 607, 3477, 28971, 236761, 1452, 886, 919, 3210, 1271, 8091, 506, 236743, 236800, 236771, 236772, 1496, 43866, 20673, 573, 1800, 57480, 532, 35183, 236761, 564, 1461, 531, 1281, 837, 1093, 577, 919, 10231, 573, 2263, 11421, 1015, 2473, 39540, 653, 14309, 528, 506, 75693, 236761, 26959, 12412, 532, 11646, 1093, 4217, 919, 1082, 4249, 768, 1346, 18361, 10050, 236858, 236745, 14896, 11848, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 159030, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236810, 236828, 236778, 236761, 236810, 236812, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236800, 236771, 236770, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 753, 236770, 236761, 236800, 236812, 236764, 623, 124977, 236779, 1516, 1083, 3714, 14356, 236779, 86060, 1083, 236743, 236800, 236771, 236764, 623, 28128, 236779, 9707, 1083, 236743, 236800, 236812, 236778, 236770, 236761, 236828, 236819, 236764, 623, 4477, 26633, 236779, 6161, 236779, 5099, 1083, 236743, 236770, 236812, 236810, 236761, 236800, 236778, 236764, 623, 9707, 236779, 11480, 1083, 236743, 236800, 236828, 236778, 236771, 236761, 236770, 236810, 236764, 623, 9707, 236779, 976, 1083, 236743, 236800, 236770, 236778, 236810, 236761, 236832, 236800, 236764, 623, 58043, 1083, 623, 174991, 5676, 607, 4869, 43866, 528, 1774, 236743, 236832, 2668, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 108855, 124479, 1083, 623, 23013, 1925, 827, 623, 21314, 236779, 27617, 1083, 623, 38556, 827, 623, 4002, 236779, 9707, 1083, 236743, 236770, 236800, 236778, 236761, 236812, 236810, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236812, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 236778, 236812, 236754, 236779, 4177, 1083, 236743, 236778, 236761, 236810, 236832, 236764, 623, 124977, 236779, 1516, 1083, 3714, 236800, 236771, 236779, 14356, 1083, 870, 236770, 236778, 236828, 236761, 236800, 236764, 236743, 236770, 236778, 236832, 236761, 236770, 236810, 236764, 236743, 236770, 236778, 236819, 236761, 236828, 236764, 236743, 236770, 236800, 236770, 236761, 236778, 236764, 236743, 236770, 236800, 236771, 236761, 236812, 236810, 236764, 236743, 236770, 236778, 236819, 236761, 236825, 236764, 236743, 236770, 236778, 236828, 236761, 236819, 236764, 236743, 236770, 236800, 236771, 236761, 236770, 236764, 236743, 236770, 236800, 236778, 236761, 236832, 236810, 236764, 236743, 236770, 236800, 236800, 236761, 236825, 236764, 236743, 236770, 236800, 236812, 236761, 236778, 236764, 236743, 236770, 236800, 236800, 236761, 236770, 236764, 236743, 236770, 236800, 236778, 236761, 236828, 236810, 236764, 236743, 236770, 236800, 236770, 236761, 236810, 236810, 236764, 236743, 236770, 236800, 236771, 236761, 236819, 236764, 236743, 236770, 236778, 236819, 236761, 236832, 236810, 236764, 236743, 236770, 236778, 236828, 236761, 236825, 236764, 236743, 236770, 236778, 236832, 236761, 236812, 236810, 236764, 236743, 236770, 236778, 236828, 236761, 236800, 236764, 236743, 236770, 236778, 236819, 236761, 236770, 236810, 236764, 236743, 236770, 236800, 236771, 236761, 236828, 236764, 236743, 236770, 236800, 236770, 236761, 236819, 236764, 236743, 236770, 236800, 236778, 236761, 236810, 236764, 236743, 236770, 236800, 236800, 236761, 236800, 236764, 236743, 236770, 236800, 236812, 236761, 236771, 236810, 236764, 236743, 236770, 236800, 236800, 236761, 236832, 236764, 236743, 236770, 236800, 236778, 236761, 236812, 236764, 236743, 236770, 236800, 236770, 236761, 236828, 236764, 236743, 236770, 236800, 236771, 236761, 236825, 236810, 236764, 236743, 236770, 236778, 236819, 236761, 236810, 59117, 623, 9707, 236779, 4177, 236779, 23251, 1083, 3714, 236832, 236753, 1083, 236743, 236812, 236761, 236770, 236778, 236764, 623, 236800, 236771, 236753, 1083, 236743, 236828, 236761, 236832, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 2721, 580, 822, 28304, 236787, 108, 1018, 202477, 36520, 568, 236800, 236771, 236772, 13265, 62902, 107, 236772, 5213, 159030, 568, 19642, 1473, 1018, 236743, 107, 138, 236772, 14584, 2644, 236787, 609, 236800, 236764, 236770, 236778, 236810, 753, 609, 236800, 236764, 236828, 236778, 236771, 107, 138, 236772, 29748, 3385, 236787, 609, 236800, 236764, 236812, 236778, 236770, 107, 138, 236772, 13029, 21012, 236787, 609, 236770, 236812, 236810, 568, 236812, 236761, 236778, 236908, 529, 4398, 236768, 107, 138, 236772, 27593, 236787, 104036, 26876, 7003, 607, 4869, 43866, 5569, 108, 236772, 5213, 23013, 1925, 568, 52762, 1473, 1018, 107, 138, 236772, 14584, 2644, 236787, 609, 236770, 236778, 236832, 753, 609, 236770, 236800, 236812, 236761, 236832, 236810, 107, 138, 236772, 29748, 3385, 236787, 202721, 236770, 236800, 236771, 107, 138, 236772, 13029, 21012, 236787, 202721, 236778, 236761, 236800, 568, 236770, 236761, 236828, 236908, 529, 4398, 236768, 107, 138, 236772, 27593, 236787, 132707, 236743, 236828, 236761, 236832, 236810, 236908, 3877, 607, 11893, 6376, 60956, 108, 1018, 47609, 63306, 833, 27239, 56484, 568, 14947, 30036, 62902, 107, 236772, 5213, 159030, 53121, 236743, 107, 138, 236772, 29748, 4314, 12412, 236787, 609, 236770, 236810, 236772, 236810, 236771, 810, 12562, 568, 4881, 38679, 531, 609, 236770, 236771, 236771, 236862, 1913, 46535, 236768, 107, 138, 236772, 23737, 1090, 35088, 14175, 236787, 64382, 13148, 607, 7607, 46811, 236764, 170215, 1253, 236764, 11032, 107, 138, 236772, 48823, 236787, 102323, 18481, 236764, 14810, 4087, 3423, 573, 5177, 1610, 108, 236772, 5213, 23013, 1925, 53121, 107, 138, 236772, 29748, 12412, 236787, 202721, 236771, 236761, 236771, 236771, 236770, 810, 12562, 107, 138, 236772, 58078, 22109, 236787, 107425, 684, 6548, 670, 1918, 568, 23013, 1925, 236789, 236751, 35088, 4077, 779, 93877, 607, 28406, 56431, 236764, 532, 5809, 7607, 46811, 1894, 107, 138, 236772, 48823, 236787, 25634, 236772, 13321, 12412, 1386, 625, 15283, 573, 1908, 236772, 79205, 5089, 108, 1018, 211199, 573, 11493, 9642, 57710, 1018, 107, 2542, 822, 1161, 1624, 568, 9181, 236772, 78885, 11421, 132187, 2157, 532, 11646, 1473, 107, 236770, 236761, 5213, 23013, 1925, 1018, 1093, 577, 919, 10231, 573, 236787, 107, 139, 236772, 25634, 236772, 13321, 12562, 5384, 107, 139, 236772, 14584, 11646, 568, 236770, 236761, 236828, 236908, 43866, 7728, 57480, 236789, 236751, 236743, 236812, 236761, 236778, 11376, 107, 139, 236772, 164557, 2430, 2707, 108, 236778, 236761, 5213, 159030, 1018, 2473, 577, 2480, 768, 236787, 107, 139, 236772, 1599, 1202, 2802, 531, 6697, 35088, 156251, 107, 139, 236772, 5185, 913, 3016, 2768, 57480, 236786, 30780, 236772, 236778, 236771, 21739, 107, 139, 236772, 8099, 236772, 6061, 1550, 33862, 11949, 919, 1082, 12412, 108, 38786, 611, 1133, 786, 531, 3600, 16217, 12668, 568, 21973, 522, 1800, 236768, 653, 11327, 3530, 27173, 5434, 600, 30091, 25338, 29201, 573, 1908, 236772, 79205, 5089, 236881, 106, 107, 105, 2364, 107, 2046, 192716, 506, 25890, 236888, 3792, 236858, 236751, 3213, 580, 14860, 236761, 28344, 611, 5840, 3530, 27173, 5434, 568, 5282, 76089, 573, 200986, 653, 163871, 573, 49180, 236768, 600, 30091, 11985, 29201, 573, 1908, 236772, 79205, 5089, 236881, 6542, 236764, 2426, 768, 14175, 1133, 3764, 218712, 653, 182655, 25139, 607, 3477, 28971, 573, 170047, 236761, 64747, 236764, 16807, 768, 993, 659, 1027, 11497, 5384, 6998, 12562, 12412, 568, 236744, 236761, 236759, 1126, 27173, 10884, 236764, 14274, 531, 85570, 236768, 600, 2473, 4208, 506, 75693, 236858, 236751, 36453, 573, 2263, 11421, 236761, 19704, 672, 531, 12861, 496, 3582, 2731, 531, 1041, 13919, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 3421, 822, 14860, 4137, 2721, 580, 2870, 4654, 568, 25142, 1239, 10050, 236789, 236745, 7438, 684, 506, 3385, 52299, 5904, 1473, 108, 1018, 52161, 91330, 573, 10645, 236772, 58972, 27480, 1018, 107, 236772, 5213, 159030, 568, 19642, 236786, 66086, 236751, 1473, 1018, 107, 138, 236772, 5213, 24066, 23389, 1018, 568, 18625, 9980, 236786, 23104, 1473, 20467, 4077, 607, 3606, 7937, 236764, 5284, 236772, 495, 35088, 3034, 236764, 532, 85570, 580, 236772, 1043, 975, 107, 138, 236772, 5213, 44603, 5521, 62522, 1018, 568, 23104, 1473, 35671, 12434, 607, 140434, 8770, 236764, 3735, 3717, 236786, 44916, 25338, 4065, 107, 138, 236772, 5213, 55006, 62522, 1018, 568, 23104, 1473, 97570, 5065, 21896, 236764, 38990, 1702, 573, 50415, 108, 236772, 5213, 23013, 1925, 568, 52762, 1473, 1018, 107, 138, 236772, 5213, 156348, 1018, 568, 18625, 236786, 23104, 1473, 20840, 7937, 236764, 44426, 3393, 29201, 236764, 532, 200986, 18481, 12434, 107, 138, 236772, 5213, 23013, 52717, 1018, 568, 18625, 236786, 23104, 1473, 7486, 236772, 18865, 607, 5284, 236772, 495, 35088, 15707, 532, 152416, 4065, 107, 138, 236772, 5213, 5566, 2658, 1018, 568, 23013, 1925, 236772, 21877, 1473, 221731, 27173, 5402, 573, 32741, 6940, 236800, 9871, 108, 1018, 34399, 30802, 25396, 17078, 847, 1018, 107, 236772, 5213, 5988, 218712, 53121, 75472, 236789, 236745, 232011, 1894, 25338, 236764, 840, 611, 740, 236787, 107, 138, 236772, 4140, 27173, 19246, 531, 7073, 29141, 107, 138, 236772, 6890, 4168, 236772, 7362, 44505, 1133, 14284, 11882, 653, 140434, 26830, 107, 236772, 5213, 236791, 11192, 498, 53121, 89357, 35007, 25338, 27173, 19246, 528, 20183, 840, 951, 1982, 28971, 12434, 107, 236772, 5213, 23244, 1662, 123747, 53121, 107, 138, 236772, 5213, 35152, 11894, 1018, 568, 159030, 236772, 41889, 24027, 236768, 107, 138, 236772, 5213, 236796, 6888, 804, 1018, 568, 23013, 1925, 236772, 21877, 131218, 236768, 107, 138, 236772, 5213, 91414, 48420, 1018, 568, 23013, 1925, 4252, 35088, 131218, 236768, 108, 1018, 52115, 56484, 531, 14066, 1018, 107, 236770, 236761, 5213, 52161, 37827, 53121, 9617, 573, 784, 3262, 51424, 107, 236778, 236761, 5213, 47609, 63306, 53121, 107, 139, 236772, 49180, 236787, 609, 236770, 236810, 236772, 236810, 236771, 236862, 810, 12562, 568, 46052, 18080, 39458, 236768, 107, 139, 236772, 200986, 236787, 609, 236771, 236761, 236771, 236771, 236770, 810, 12562, 568, 226913, 554, 1253, 236768, 107, 236800, 236761, 5213, 75675, 531, 78731, 53121, 107, 139, 236772, 19651, 34549, 12412, 75720, 236795, 236770, 236771, 236772, 236778, 236810, 6648, 11317, 236768, 107, 139, 236772, 78731, 14274, 52249, 568, 236770, 236772, 236800, 236908, 11082, 236768, 107, 139, 236772, 16439, 13761, 16783, 568, 73139, 5959, 236743, 236770, 236771, 236819, 236819, 236772, 236855, 573, 1890, 236795, 236825, 236771, 236771, 236768, 107, 236812, 236761, 5213, 19120, 219220, 53121, 107, 139, 236772, 7578, 3149, 573, 27173, 4993, 107, 139, 236772, 32180, 529, 5745, 10338, 37485, 568, 32438, 137980, 5434, 236768, 108, 1018, 143389, 91330, 1018, 107, 236770, 236761, 5213, 131022, 45750, 53121, 6890, 76089, 573, 200986, 29201, 900, 140434, 62522, 573, 49180, 568, 96315, 11427, 85570, 14274, 236768, 107, 236778, 236761, 5213, 164003, 12730, 53121, 8600, 236743, 236770, 236772, 4000, 7426, 26309, 573, 27173, 10884, 107, 236800, 236761, 5213, 75675, 34428, 53121, 6890, 140434, 19651, 573, 3735, 85570, 34549, 568, 43925, 1800, 21896, 236768, 107, 236812, 236761, 5213, 145299, 53121, 40345, 1407, 39458, 600, 2578, 236770, 236772, 236800, 236908, 1149, 577, 5745, 528, 14274, 12412, 108, 38786, 611, 1133, 786, 531, 12262, 496, 5498, 75693, 3904, 607, 27173, 19246, 532, 33451, 11808, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1070, 18014, 236761, 3199, 611, 1601, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 236761, 753, 18681, 40678, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 45855, 14993, 573, 611, 236787, 108, 1018, 236775, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 1781, 1018, 138, 107, 236964, 18681, 40678, 108, 6481, 672, 55934, 611, 531, 22352, 1144, 9995, 73206, 611, 236888, 172181, 106, 107, 105, 2364, 107, 6372, 236789, 236751, 496, 1822, 14993, 236888, 3199, 611, 2583, 786, 2264, 886, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 146792, 611, 740, 532, 611, 236789, 500, 49817, 993, 236761, 753, 85791, 51246, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 2264, 32977, 14993, 573, 611, 236787, 108, 1018, 236775, 146792, 611, 740, 532, 611, 236789, 500, 49817, 993, 1781, 1018, 138, 107, 236964, 808, 818, 63470, 51246, 236829, 108, 2094, 886, 39706, 775, 600, 10805, 532, 13699, 659, 2307, 531, 23673, 1023, 7675, 236761, 17608, 600, 4414, 14700, 1771, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 14782, 611, 236764, 600, 691, 2126, 32977, 236888, 106, 107, 105, 4368, 107, 3048, 236789, 500, 1401, 8349, 236888, 564, 236789, 236757, 834, 16126, 611, 1765, 625, 32977, 236761, 1637, 611, 3785, 1202, 919, 23363, 653, 735, 1027, 1032, 10512, 236764, 2597, 2196, 531, 2679, 236761, 17608, 36489, 236888, 236743, 243712, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1070, 18014, 236761, 3199, 611, 1601, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 236761, 753, 18681, 40678, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 45855, 14993, 573, 611, 236787, 108, 1018, 236775, 818, 1186, 1595, 531, 776, 1822, 981, 563, 531, 2765, 1144, 611, 776, 1781, 1018, 138, 107, 236964, 18681, 40678, 108, 6481, 672, 55934, 611, 531, 22352, 1144, 9995, 73206, 611, 236888, 172181, 106, 107, 105, 2364, 107, 6372, 236789, 236751, 496, 1822, 14993, 236888, 3199, 611, 2583, 786, 2264, 886, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 146792, 611, 740, 532, 611, 236789, 500, 49817, 993, 236761, 753, 85791, 51246, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 2264, 32977, 14993, 573, 611, 236787, 108, 1018, 236775, 146792, 611, 740, 532, 611, 236789, 500, 49817, 993, 1781, 1018, 138, 107, 236964, 808, 818, 63470, 51246, 236829, 108, 2094, 886, 39706, 775, 600, 10805, 532, 13699, 659, 2307, 531, 23673, 1023, 7675, 236761, 17608, 600, 4414, 14700, 1771, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 14782, 611, 236764, 600, 691, 2126, 32977, 236888, 106, 107, 105, 4368, 107, 3048, 236789, 500, 1401, 8349, 236888, 564, 236789, 236757, 834, 16126, 611, 1765, 625, 32977, 236761, 1637, 611, 3785, 1202, 919, 23363, 653, 735, 1027, 1032, 10512, 236764, 2597, 2196, 531, 2679, 236761, 17608, 36489, 236888, 236743, 243712, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 49075, 3393, 10134, 573, 46566, 236761, 2282, 776, 672, 236764, 1171, 974, 506, 3207, 10134, 573, 46566, 531, 8701, 1061, 5143, 49075, 3393, 236764, 1299, 1161, 600, 49075, 3393, 531, 6054, 506, 49075, 3393, 10134, 236761, 3792, 236789, 236751, 1502, 607, 506, 3207, 10134, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 63689, 236779, 1516, 1083, 3714, 2084, 1083, 623, 24496, 12912, 827, 623, 16518, 1083, 78493, 2084, 1083, 623, 24496, 827, 623, 15921, 1083, 3714, 1201, 1083, 623, 97267, 734, 827, 623, 14801, 1083, 623, 34692, 827, 623, 63689, 236779, 2084, 1083, 623, 125258, 760, 2027, 23179, 623, 34343, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 191561, 236770, 236770, 236761, 236810, 236832, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236832, 236810, 1604, 870, 236770, 236770, 236761, 236825, 236778, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236832, 236810, 1604, 870, 236770, 236770, 236761, 236825, 236778, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 191189, 1807, 59117, 623, 21052, 1083, 3714, 6265, 1083, 623, 7084, 170511, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 818, 3207, 10134, 1262, 573, 46566, 1677, 711, 3204, 5143, 49075, 3393, 1938, 236761, 2282, 7162, 607, 8159, 506, 49075, 3393, 10134, 236764, 564, 1093, 1202, 506, 3530, 49075, 3393, 573, 46566, 236761, 21284, 611, 1133, 531, 2847, 506, 49075, 3393, 5467, 236764, 653, 1374, 564, 8082, 3217, 672, 1938, 7289, 236789, 236745, 5012, 528, 506, 10134, 1262, 236881, 106, 107, 105, 2364, 107, 142480, 607, 506, 15569, 236761, 564, 236789, 236757, 23210, 3217, 506, 3207, 10134, 1262, 4038, 236789, 236745, 3204, 506, 49075, 3393, 236764, 532, 564, 236789, 236753, 1133, 531, 3050, 506, 16305, 1680, 32271, 1217, 531, 2827, 4448, 236761, 106, 107, 105, 4368, 107, 818, 12312, 529, 49075, 3393, 1938, 528, 506, 3207, 10134, 1262, 38069, 699, 11001, 8798, 528, 1217, 42442, 18998, 532, 49075, 17253, 659, 31044, 236787, 108, 236770, 236761, 5213, 145877, 7728, 236761, 6007, 171710, 66515, 138, 107, 139, 236772, 4085, 18998, 568, 5282, 46566, 236789, 236751, 236768, 659, 15006, 236786, 61754, 32466, 14038, 684, 3251, 20880, 568, 236744, 236761, 236759, 1126, 146088, 1883, 11787, 769, 138, 107, 139, 236772, 73899, 17253, 568, 7118, 519, 6997, 49199, 528, 9405, 236768, 659, 107634, 236786, 8114, 32466, 10542, 684, 62380, 6531, 17692, 236761, 2195, 3187, 28981, 5065, 57680, 653, 1581, 4071, 1883, 27367, 236761, 108, 236778, 236761, 5213, 73919, 98188, 587, 108978, 66515, 138, 107, 139, 236772, 562, 3161, 3207, 1133, 46566, 568, 38428, 2578, 236770, 236761, 236810, 236792, 236768, 6097, 5213, 96498, 236751, 529, 49075, 17253, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 236964, 236828, 236770, 236778, 236812, 236819, 573, 46566, 769, 3143, 17253, 10571, 531, 7100, 8341, 20874, 236764, 711, 506, 4251, 3207, 236761, 108, 236800, 236761, 5213, 50327, 47203, 66515, 138, 107, 139, 236772, 73899, 17253, 2352, 919, 11572, 1082, 3207, 18998, 568, 236744, 236761, 236759, 1126, 861, 18783, 236764, 49075, 9116, 30981, 769, 7607, 170511, 236789, 236751, 10134, 1262, 568, 3456, 1590, 236768, 21132, 580, 10385, 15006, 18998, 236761, 108, 10354, 12067, 50228, 107, 2021, 7162, 236764, 692, 1202, 496, 3530, 49075, 3393, 573, 46566, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 573, 506, 3207, 3988, 769, 21284, 611, 1133, 531, 236787, 107, 236772, 39525, 496, 49075, 3393, 573, 1982, 38485, 236881, 107, 236772, 91820, 496, 1694, 529, 49075, 17253, 2351, 119945, 531, 12019, 1679, 3835, 236881, 138, 107, 236772, 46071, 614, 9302, 4313, 1699, 496, 1607, 5904, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 4102, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 33205, 496, 1694, 529, 49075, 17253, 2351, 119945, 1171, 236764, 1299, 12019, 1679, 531, 1724, 5143, 607, 46566, 236761, 1174, 795, 1601, 786, 3050, 506, 3904, 2480, 236761, 6890, 506, 7609, 236779, 1708, 236779, 13319, 236779, 5900, 236779, 2003, 236779, 3255, 5904, 607, 119945, 618, 506, 1883, 236764, 1299, 1161, 600, 1262, 531, 1586, 4596, 49075, 17253, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 97267, 734, 827, 623, 236797, 694, 116591, 827, 623, 20450, 77672, 827, 623, 5024, 145905, 827, 623, 8653, 826, 827, 623, 223049, 6315, 827, 623, 236824, 236785, 236756, 236771, 236771, 236760, 8162, 236802, 9339, 827, 623, 236811, 236785, 236756, 236771, 236771, 236760, 8162, 594, 827, 623, 236788, 5271, 38467, 827, 623, 21115, 551, 38262, 99471, 106, 107, 105, 4368, 107, 818, 1694, 529, 9979, 528, 119945, 44898, 46566, 236789, 236751, 20773, 528, 506, 1883, 236789, 236751, 15006, 3904, 236761, 3153, 236764, 672, 1262, 2036, 4038, 236789, 236745, 5467, 3205, 531, 49075, 17253, 236764, 618, 236787, 108, 236770, 236761, 5213, 17698, 5618, 193600, 73899, 17253, 66515, 7712, 2351, 46566, 236789, 236751, 19312, 10134, 236764, 993, 659, 2578, 236770, 236832, 236771, 49075, 17253, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 236772, 236828, 236770, 236778, 236812, 236819, 236768, 600, 54744, 2352, 2721, 580, 49075, 33972, 236761, 107, 236778, 236761, 5213, 3771, 1982, 5904, 7519, 66515, 669, 2487, 5151, 1537, 236789, 236745, 3204, 496, 623, 157350, 17253, 684, 3207, 236775, 38485, 236764, 618, 49075, 17253, 3187, 15184, 5065, 57680, 236761, 108, 10354, 111506, 107, 2021, 974, 21475, 49075, 3393, 10134, 1262, 573, 46566, 236764, 692, 1202, 236787, 107, 236770, 236761, 562, 5213, 15396, 49075, 3393, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 573, 46566, 236789, 236751, 3207, 3988, 779, 653, 138, 107, 236778, 236761, 562, 7732, 15297, 4071, 236772, 35380, 9908, 49075, 17253, 607, 42442, 15375, 568, 2217, 2487, 528, 506, 1873, 5904, 1025, 769, 108, 38786, 611, 1133, 531, 236787, 107, 236772, 39525, 496, 3530, 49075, 3393, 573, 46566, 531, 7162, 236881, 138, 107, 236772, 46071, 9302, 4615, 4782, 506, 1873, 5904, 1025, 568, 236744, 236761, 236759, 1126, 8398, 34438, 20625, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 93000, 496, 3530, 49075, 3393, 573, 46566, 236789, 236751, 3207, 3988, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 236768, 531, 7162, 607, 506, 10134, 38485, 236761, 564, 236789, 859, 1161, 506, 7609, 236779, 1708, 236779, 157350, 236779, 3970, 236779, 63689, 236779, 2003, 236779, 157350, 236779, 3970, 5904, 3622, 611, 9128, 506, 3393, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 63689, 236779, 3906, 1083, 3714, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 236770, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236761, 236810, 236828, 236778, 1263, 623, 7376, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236761, 236778, 236770, 236764, 623, 63689, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 191561, 236770, 236770, 236761, 236810, 236832, 236828, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236778, 1604, 870, 236770, 236770, 236761, 236810, 236828, 236810, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236778, 1604, 870, 236770, 236770, 236761, 236810, 236828, 236810, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236828, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236828, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236828, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236828, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236778, 191189, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10134, 1938, 573, 49075, 3393, 5213, 236828, 236771, 236800, 236800, 236770, 1018, 568, 97267, 734, 3207, 3988, 1473, 108, 236772, 5213, 58713, 66515, 165356, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 236770, 236764, 8099, 4637, 236743, 236770, 236770, 236761, 236810, 236828, 236778, 236771, 138, 107, 236772, 5213, 13262, 66515, 2578, 236819, 236764, 236828, 236832, 236825, 236764, 236810, 236812, 236800, 520, 238131, 568, 236819, 236761, 236828, 236828, 7251, 82418, 138, 107, 236772, 5213, 86172, 66515, 562, 44494, 32452, 2101, 46566, 236789, 236751, 3207, 7157, 236764, 14086, 4688, 529, 506, 17110, 23165, 38262, 236772, 3258, 3983, 7905, 236761, 108, 2094, 32741, 10134, 563, 9273, 573, 2870, 15468, 653, 4563, 236772, 5140, 3671, 236761, 21284, 611, 1133, 531, 59638, 672, 3342, 568, 236744, 236761, 236759, 1126, 3715, 236772, 35396, 10134, 1262, 236768, 653, 1202, 1601, 59536, 506, 42442, 4403, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 49075, 3393, 10134, 573, 46566, 236761, 2282, 776, 672, 236764, 1171, 974, 506, 3207, 10134, 573, 46566, 531, 8701, 1061, 5143, 49075, 3393, 236764, 1299, 1161, 600, 49075, 3393, 531, 6054, 506, 49075, 3393, 10134, 236761, 3792, 236789, 236751, 1502, 607, 506, 3207, 10134, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 63689, 236779, 1516, 1083, 3714, 2084, 1083, 623, 24496, 12912, 827, 623, 16518, 1083, 78493, 2084, 1083, 623, 24496, 827, 623, 15921, 1083, 3714, 1201, 1083, 623, 97267, 734, 827, 623, 14801, 1083, 623, 34692, 827, 623, 63689, 236779, 2084, 1083, 623, 125258, 760, 2027, 23179, 623, 34343, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 191561, 236770, 236770, 236761, 236810, 236832, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236832, 236810, 1604, 870, 236770, 236770, 236761, 236825, 236778, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236832, 236810, 1604, 870, 236770, 236770, 236761, 236825, 236778, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 191189, 1807, 59117, 623, 21052, 1083, 3714, 6265, 1083, 623, 7084, 170511, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 818, 3207, 10134, 1262, 573, 46566, 1677, 711, 3204, 5143, 49075, 3393, 1938, 236761, 2282, 7162, 607, 8159, 506, 49075, 3393, 10134, 236764, 564, 1093, 1202, 506, 3530, 49075, 3393, 573, 46566, 236761, 21284, 611, 1133, 531, 2847, 506, 49075, 3393, 5467, 236764, 653, 1374, 564, 8082, 3217, 672, 1938, 7289, 236789, 236745, 5012, 528, 506, 10134, 1262, 236881, 106, 107, 105, 2364, 107, 142480, 607, 506, 15569, 236761, 564, 236789, 236757, 23210, 3217, 506, 3207, 10134, 1262, 4038, 236789, 236745, 3204, 506, 49075, 3393, 236764, 532, 564, 236789, 236753, 1133, 531, 3050, 506, 16305, 1680, 32271, 1217, 531, 2827, 4448, 236761, 106, 107, 105, 4368, 107, 818, 12312, 529, 49075, 3393, 1938, 528, 506, 3207, 10134, 1262, 38069, 699, 11001, 8798, 528, 1217, 42442, 18998, 532, 49075, 17253, 659, 31044, 236787, 108, 236770, 236761, 5213, 145877, 7728, 236761, 6007, 171710, 66515, 138, 107, 139, 236772, 4085, 18998, 568, 5282, 46566, 236789, 236751, 236768, 659, 15006, 236786, 61754, 32466, 14038, 684, 3251, 20880, 568, 236744, 236761, 236759, 1126, 146088, 1883, 11787, 769, 138, 107, 139, 236772, 73899, 17253, 568, 7118, 519, 6997, 49199, 528, 9405, 236768, 659, 107634, 236786, 8114, 32466, 10542, 684, 62380, 6531, 17692, 236761, 2195, 3187, 28981, 5065, 57680, 653, 1581, 4071, 1883, 27367, 236761, 108, 236778, 236761, 5213, 73919, 98188, 587, 108978, 66515, 138, 107, 139, 236772, 562, 3161, 3207, 1133, 46566, 568, 38428, 2578, 236770, 236761, 236810, 236792, 236768, 6097, 5213, 96498, 236751, 529, 49075, 17253, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 236964, 236828, 236770, 236778, 236812, 236819, 573, 46566, 769, 3143, 17253, 10571, 531, 7100, 8341, 20874, 236764, 711, 506, 4251, 3207, 236761, 108, 236800, 236761, 5213, 50327, 47203, 66515, 138, 107, 139, 236772, 73899, 17253, 2352, 919, 11572, 1082, 3207, 18998, 568, 236744, 236761, 236759, 1126, 861, 18783, 236764, 49075, 9116, 30981, 769, 7607, 170511, 236789, 236751, 10134, 1262, 568, 3456, 1590, 236768, 21132, 580, 10385, 15006, 18998, 236761, 108, 10354, 12067, 50228, 107, 2021, 7162, 236764, 692, 1202, 496, 3530, 49075, 3393, 573, 46566, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 573, 506, 3207, 3988, 769, 21284, 611, 1133, 531, 236787, 107, 236772, 39525, 496, 49075, 3393, 573, 1982, 38485, 236881, 107, 236772, 91820, 496, 1694, 529, 49075, 17253, 2351, 119945, 531, 12019, 1679, 3835, 236881, 138, 107, 236772, 46071, 614, 9302, 4313, 1699, 496, 1607, 5904, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 4102, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 33205, 496, 1694, 529, 49075, 17253, 2351, 119945, 1171, 236764, 1299, 12019, 1679, 531, 1724, 5143, 607, 46566, 236761, 1174, 795, 1601, 786, 3050, 506, 3904, 2480, 236761, 6890, 506, 7609, 236779, 1708, 236779, 13319, 236779, 5900, 236779, 2003, 236779, 3255, 5904, 607, 119945, 618, 506, 1883, 236764, 1299, 1161, 600, 1262, 531, 1586, 4596, 49075, 17253, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 97267, 734, 827, 623, 236797, 694, 116591, 827, 623, 20450, 77672, 827, 623, 5024, 145905, 827, 623, 8653, 826, 827, 623, 223049, 6315, 827, 623, 236824, 236785, 236756, 236771, 236771, 236760, 8162, 236802, 9339, 827, 623, 236811, 236785, 236756, 236771, 236771, 236760, 8162, 594, 827, 623, 236788, 5271, 38467, 827, 623, 21115, 551, 38262, 99471, 106, 107, 105, 4368, 107, 818, 1694, 529, 9979, 528, 119945, 44898, 46566, 236789, 236751, 20773, 528, 506, 1883, 236789, 236751, 15006, 3904, 236761, 3153, 236764, 672, 1262, 2036, 4038, 236789, 236745, 5467, 3205, 531, 49075, 17253, 236764, 618, 236787, 108, 236770, 236761, 5213, 17698, 5618, 193600, 73899, 17253, 66515, 7712, 2351, 46566, 236789, 236751, 19312, 10134, 236764, 993, 659, 2578, 236770, 236832, 236771, 49075, 17253, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 236772, 236828, 236770, 236778, 236812, 236819, 236768, 600, 54744, 2352, 2721, 580, 49075, 33972, 236761, 107, 236778, 236761, 5213, 3771, 1982, 5904, 7519, 66515, 669, 2487, 5151, 1537, 236789, 236745, 3204, 496, 623, 157350, 17253, 684, 3207, 236775, 38485, 236764, 618, 49075, 17253, 3187, 15184, 5065, 57680, 236761, 108, 10354, 111506, 107, 2021, 974, 21475, 49075, 3393, 10134, 1262, 573, 46566, 236764, 692, 1202, 236787, 107, 236770, 236761, 562, 5213, 15396, 49075, 3393, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 573, 46566, 236789, 236751, 3207, 3988, 779, 653, 138, 107, 236778, 236761, 562, 7732, 15297, 4071, 236772, 35380, 9908, 49075, 17253, 607, 42442, 15375, 568, 2217, 2487, 528, 506, 1873, 5904, 1025, 769, 108, 38786, 611, 1133, 531, 236787, 107, 236772, 39525, 496, 3530, 49075, 3393, 573, 46566, 531, 7162, 236881, 138, 107, 236772, 46071, 9302, 4615, 4782, 506, 1873, 5904, 1025, 568, 236744, 236761, 236759, 1126, 8398, 34438, 20625, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 93000, 496, 3530, 49075, 3393, 573, 46566, 236789, 236751, 3207, 3988, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236771, 236800, 236800, 236770, 236768, 531, 7162, 607, 506, 10134, 38485, 236761, 564, 236789, 859, 1161, 506, 7609, 236779, 1708, 236779, 157350, 236779, 3970, 236779, 63689, 236779, 2003, 236779, 157350, 236779, 3970, 5904, 3622, 611, 9128, 506, 3393, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 63689, 236779, 3906, 1083, 3714, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 236770, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236761, 236810, 236828, 236778, 1263, 623, 7376, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236761, 236778, 236770, 236764, 623, 63689, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 191561, 236770, 236770, 236761, 236810, 236832, 236828, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236778, 1604, 870, 236770, 236770, 236761, 236810, 236828, 236810, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236778, 1604, 870, 236770, 236770, 236761, 236810, 236828, 236810, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236828, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236828, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236828, 236810, 1604, 870, 236770, 236770, 236761, 236810, 236832, 236828, 236810, 236764, 236743, 236812, 236828, 236761, 236770, 236800, 236778, 191189, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10134, 1938, 573, 49075, 3393, 5213, 236828, 236771, 236800, 236800, 236770, 1018, 568, 97267, 734, 3207, 3988, 1473, 108, 236772, 5213, 58713, 66515, 165356, 236743, 236812, 236828, 236761, 236770, 236800, 236810, 236770, 236764, 8099, 4637, 236743, 236770, 236770, 236761, 236810, 236828, 236778, 236771, 138, 107, 236772, 5213, 13262, 66515, 2578, 236819, 236764, 236828, 236832, 236825, 236764, 236810, 236812, 236800, 520, 238131, 568, 236819, 236761, 236828, 236828, 7251, 82418, 138, 107, 236772, 5213, 86172, 66515, 562, 44494, 32452, 2101, 46566, 236789, 236751, 3207, 7157, 236764, 14086, 4688, 529, 506, 17110, 23165, 38262, 236772, 3258, 3983, 7905, 236761, 108, 2094, 32741, 10134, 563, 9273, 573, 2870, 15468, 653, 4563, 236772, 5140, 3671, 236761, 21284, 611, 1133, 531, 59638, 672, 3342, 568, 236744, 236761, 236759, 1126, 3715, 236772, 35396, 10134, 1262, 236768, 653, 1202, 1601, 59536, 506, 42442, 4403, 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, 7946, 531, 9079, 2148, 2297, 532, 1461, 531, 2426, 855, 506, 132440, 236761, 564, 6827, 901, 735, 28172, 26931, 10317, 580, 43810, 1610, 236761, 28344, 611, 1385, 872, 1027, 4749, 653, 26931, 993, 699, 5142, 236743, 236770, 236810, 594, 531, 5142, 236743, 236778, 236810, 594, 236881, 6542, 236764, 1651, 564, 236789, 236757, 528, 1799, 30040, 16270, 2523, 528, 5729, 236764, 564, 1202, 4889, 1003, 506, 44795, 12050, 237028, 145300, 236764, 659, 993, 1027, 28023, 580, 6672, 28575, 4918, 17747, 236881, 564, 236858, 236753, 1133, 506, 10368, 532, 15020, 8283, 768, 2653, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 200750, 16346, 4585, 11930, 1999, 827, 623, 7777, 1083, 623, 227042, 4469, 532, 18669, 19541, 580, 43810, 128368, 657, 506, 132440, 236764, 2440, 4916, 236772, 498, 3671, 529, 5540, 4146, 10498, 623, 7125, 1083, 623, 38090, 27417, 11109, 236764, 9079, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 50990, 1083, 3714, 18700, 236779, 57569, 1083, 236743, 236778, 236810, 236764, 623, 12429, 2234, 1083, 2416, 236764, 623, 50990, 236779, 2883, 1083, 623, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 27186, 16346, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 236775, 5237, 3714, 1201, 1083, 623, 5015, 39784, 45004, 57939, 39405, 827, 623, 7777, 1083, 623, 902, 236772, 15104, 6478, 22260, 119508, 236772, 1741, 11710, 4615, 236764, 18482, 132440, 236772, 1643, 774, 54233, 10498, 623, 7125, 1083, 623, 38090, 27417, 11109, 236764, 9079, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 50990, 1083, 3714, 18700, 236779, 57569, 1083, 236743, 236770, 236778, 236764, 623, 12429, 2234, 1083, 1847, 236764, 623, 50990, 236779, 2883, 1083, 623, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 2230, 39784, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 236775, 5237, 3714, 1201, 1083, 623, 63190, 75661, 15570, 18646, 39405, 827, 623, 7777, 1083, 623, 155351, 12050, 877, 236772, 134350, 18669, 14086, 67748, 532, 125509, 8403, 528, 6672, 28575, 4918, 44187, 10498, 623, 7125, 1083, 623, 4199, 30040, 44795, 11109, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236812, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 50990, 1083, 3714, 18700, 236779, 57569, 1083, 236743, 236771, 236764, 623, 12429, 2234, 1083, 1847, 236764, 623, 50990, 236779, 2883, 1083, 623, 2574, 1411, 200729, 32750, 236761, 1904, 236786, 5106, 236786, 141945, 236772, 5163, 236772, 141805, 127096, 21111, 108, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 147761, 236778, 236771, 236778, 236812, 236824, 236770, 236810, 827, 623, 1201, 1083, 623, 63190, 75661, 15570, 39405, 827, 623, 7125, 1083, 623, 4199, 30040, 44795, 833, 28917, 11032, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7777, 1083, 623, 54968, 236772, 498, 18669, 10299, 8403, 573, 6672, 1799, 30040, 28575, 4918, 17747, 2440, 67748, 236764, 125509, 236764, 532, 14940, 60629, 236761, 43821, 684, 3295, 529, 506, 88219, 9519, 44795, 15570, 10498, 623, 41413, 1083, 3714, 50990, 1083, 623, 236771, 236819, 236787, 236800, 236771, 8151, 753, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 8494, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236800, 236771, 8711, 827, 623, 236935, 236880, 236776, 1083, 623, 236770, 236778, 236787, 236800, 236771, 8711, 753, 236743, 236770, 236787, 236771, 236771, 8711, 23179, 623, 50990, 236779, 3906, 1083, 3714, 44163, 1083, 6610, 236778, 236810, 810, 32571, 827, 623, 2883, 1083, 623, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 5163, 236772, 50990, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236771, 236775, 5237, 3714, 5106, 236779, 547, 1083, 623, 147761, 236778, 236771, 236778, 236812, 236824, 236778, 236778, 827, 623, 1201, 1083, 623, 183733, 18646, 40675, 85225, 827, 623, 7125, 1083, 623, 42150, 2438, 6718, 11796, 9519, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7777, 1083, 623, 23244, 1662, 18669, 14086, 2065, 532, 11790, 529, 28575, 17747, 607, 7710, 48858, 699, 86579, 1747, 12038, 69919, 10498, 623, 41413, 1083, 3714, 50990, 1083, 623, 236770, 236787, 236800, 236771, 8711, 753, 236743, 236778, 236787, 236771, 236771, 8711, 827, 623, 8494, 1083, 623, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236812, 236787, 236771, 236771, 8711, 827, 623, 58644, 236779, 4256, 1083, 623, 236812, 236787, 236771, 236771, 8711, 753, 236743, 236810, 236787, 236771, 236771, 8711, 568, 31162, 16291, 1263, 623, 50990, 236779, 3906, 1083, 3714, 44163, 1083, 6610, 236770, 236810, 568, 6796, 607, 44795, 12050, 15049, 7408, 22730, 623, 2883, 1083, 623, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 95503, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236832, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 659, 506, 4749, 564, 1765, 573, 822, 16038, 22817, 236787, 108, 1018, 50429, 753, 132440, 11109, 568, 27403, 236743, 236770, 236810, 236772, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1473, 1018, 107, 236770, 236761, 5213, 200750, 16346, 4585, 11930, 1999, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 17243, 236787, 44300, 236772, 498, 3671, 529, 43810, 128368, 236761, 138, 107, 139, 236772, 75669, 236787, 236743, 236778, 236810, 26870, 568, 1904, 4491, 2234, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 27186, 16346, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 769, 138, 108, 236778, 236761, 5213, 5015, 39784, 45004, 57939, 39405, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236778, 236787, 236800, 236771, 8711, 138, 107, 139, 236772, 17243, 236787, 799, 236772, 15104, 54233, 529, 119508, 236772, 1741, 4615, 236761, 138, 107, 139, 236772, 75669, 236787, 236743, 236770, 236778, 26870, 568, 12429, 2234, 2487, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 2230, 39784, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 769, 138, 108, 7243, 108, 1018, 4199, 30040, 753, 44795, 12050, 122354, 568, 30902, 236743, 236778, 236771, 236778, 236812, 1473, 1018, 138, 107, 236770, 236761, 5213, 63190, 75661, 15570, 39405, 1018, 138, 107, 139, 236772, 6809, 236787, 5729, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 1799, 30040, 44795, 833, 28917, 11032, 138, 107, 139, 236772, 27468, 236787, 138, 107, 141, 236772, 36997, 236787, 236743, 236819, 236787, 236800, 236771, 236964, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 141, 236772, 25780, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 236964, 236770, 236778, 236787, 236800, 236771, 8711, 138, 107, 141, 236772, 1366, 236880, 236776, 236787, 236743, 236770, 236778, 236787, 236800, 236771, 236964, 236770, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 11117, 236787, 609, 236778, 236810, 568, 141511, 236787, 5729, 236743, 236770, 236771, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 5163, 236772, 50990, 769, 138, 108, 236778, 236761, 5213, 183733, 18646, 40675, 85225, 1018, 138, 107, 139, 236772, 6809, 236787, 5729, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236778, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 21617, 236787, 7830, 2438, 6718, 11796, 9519, 138, 107, 139, 236772, 27468, 236787, 138, 107, 141, 236772, 36997, 236787, 236743, 236770, 236787, 236800, 236771, 236964, 236778, 236787, 236771, 236771, 8711, 138, 107, 141, 236772, 25780, 236787, 236743, 236778, 236787, 236771, 236771, 236964, 236812, 236787, 236771, 236771, 8711, 138, 107, 141, 236772, 26272, 10015, 2426, 236787, 236743, 236812, 236787, 236771, 236771, 236964, 236810, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 11117, 236787, 609, 236770, 236810, 568, 15370, 607, 44795, 12050, 15049, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 95503, 769, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 52246, 236888, 236743, 245838, 252127, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 9079, 2148, 2297, 532, 1461, 531, 2426, 855, 506, 132440, 236761, 564, 6827, 901, 735, 28172, 26931, 10317, 580, 43810, 1610, 236761, 28344, 611, 1385, 872, 1027, 4749, 653, 26931, 993, 699, 5142, 236743, 236770, 236810, 594, 531, 5142, 236743, 236778, 236810, 594, 236881, 6542, 236764, 1651, 564, 236789, 236757, 528, 1799, 30040, 16270, 2523, 528, 5729, 236764, 564, 1202, 4889, 1003, 506, 44795, 12050, 237028, 145300, 236764, 659, 993, 1027, 28023, 580, 6672, 28575, 4918, 17747, 236881, 564, 236858, 236753, 1133, 506, 10368, 532, 15020, 8283, 768, 2653, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1201, 1083, 623, 200750, 16346, 4585, 11930, 1999, 827, 623, 7777, 1083, 623, 227042, 4469, 532, 18669, 19541, 580, 43810, 128368, 657, 506, 132440, 236764, 2440, 4916, 236772, 498, 3671, 529, 5540, 4146, 10498, 623, 7125, 1083, 623, 38090, 27417, 11109, 236764, 9079, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 50990, 1083, 3714, 18700, 236779, 57569, 1083, 236743, 236778, 236810, 236764, 623, 12429, 2234, 1083, 2416, 236764, 623, 50990, 236779, 2883, 1083, 623, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 27186, 16346, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 236775, 5237, 3714, 1201, 1083, 623, 5015, 39784, 45004, 57939, 39405, 827, 623, 7777, 1083, 623, 902, 236772, 15104, 6478, 22260, 119508, 236772, 1741, 11710, 4615, 236764, 18482, 132440, 236772, 1643, 774, 54233, 10498, 623, 7125, 1083, 623, 38090, 27417, 11109, 236764, 9079, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 50990, 1083, 3714, 18700, 236779, 57569, 1083, 236743, 236770, 236778, 236764, 623, 12429, 2234, 1083, 1847, 236764, 623, 50990, 236779, 2883, 1083, 623, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 2230, 39784, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 236775, 5237, 3714, 1201, 1083, 623, 63190, 75661, 15570, 18646, 39405, 827, 623, 7777, 1083, 623, 155351, 12050, 877, 236772, 134350, 18669, 14086, 67748, 532, 125509, 8403, 528, 6672, 28575, 4918, 44187, 10498, 623, 7125, 1083, 623, 4199, 30040, 44795, 11109, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236812, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 50990, 1083, 3714, 18700, 236779, 57569, 1083, 236743, 236771, 236764, 623, 12429, 2234, 1083, 1847, 236764, 623, 50990, 236779, 2883, 1083, 623, 2574, 1411, 200729, 32750, 236761, 1904, 236786, 5106, 236786, 141945, 236772, 5163, 236772, 141805, 127096, 21111, 108, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 147761, 236778, 236771, 236778, 236812, 236824, 236770, 236810, 827, 623, 1201, 1083, 623, 63190, 75661, 15570, 39405, 827, 623, 7125, 1083, 623, 4199, 30040, 44795, 833, 28917, 11032, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7777, 1083, 623, 54968, 236772, 498, 18669, 10299, 8403, 573, 6672, 1799, 30040, 28575, 4918, 17747, 2440, 67748, 236764, 125509, 236764, 532, 14940, 60629, 236761, 43821, 684, 3295, 529, 506, 88219, 9519, 44795, 15570, 10498, 623, 41413, 1083, 3714, 50990, 1083, 623, 236771, 236819, 236787, 236800, 236771, 8151, 753, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 8494, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236800, 236771, 8711, 827, 623, 236935, 236880, 236776, 1083, 623, 236770, 236778, 236787, 236800, 236771, 8711, 753, 236743, 236770, 236787, 236771, 236771, 8711, 23179, 623, 50990, 236779, 3906, 1083, 3714, 44163, 1083, 6610, 236778, 236810, 810, 32571, 827, 623, 2883, 1083, 623, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 5163, 236772, 50990, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236771, 236775, 5237, 3714, 5106, 236779, 547, 1083, 623, 147761, 236778, 236771, 236778, 236812, 236824, 236778, 236778, 827, 623, 1201, 1083, 623, 183733, 18646, 40675, 85225, 827, 623, 7125, 1083, 623, 42150, 2438, 6718, 11796, 9519, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7777, 1083, 623, 23244, 1662, 18669, 14086, 2065, 532, 11790, 529, 28575, 17747, 607, 7710, 48858, 699, 86579, 1747, 12038, 69919, 10498, 623, 41413, 1083, 3714, 50990, 1083, 623, 236770, 236787, 236800, 236771, 8711, 753, 236743, 236778, 236787, 236771, 236771, 8711, 827, 623, 8494, 1083, 623, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236812, 236787, 236771, 236771, 8711, 827, 623, 58644, 236779, 4256, 1083, 623, 236812, 236787, 236771, 236771, 8711, 753, 236743, 236810, 236787, 236771, 236771, 8711, 568, 31162, 16291, 1263, 623, 50990, 236779, 3906, 1083, 3714, 44163, 1083, 6610, 236770, 236810, 568, 6796, 607, 44795, 12050, 15049, 7408, 22730, 623, 2883, 1083, 623, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 95503, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236832, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 659, 506, 4749, 564, 1765, 573, 822, 16038, 22817, 236787, 108, 1018, 50429, 753, 132440, 11109, 568, 27403, 236743, 236770, 236810, 236772, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1473, 1018, 107, 236770, 236761, 5213, 200750, 16346, 4585, 11930, 1999, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 17243, 236787, 44300, 236772, 498, 3671, 529, 43810, 128368, 236761, 138, 107, 139, 236772, 75669, 236787, 236743, 236778, 236810, 26870, 568, 1904, 4491, 2234, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 27186, 16346, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 769, 138, 108, 236778, 236761, 5213, 5015, 39784, 45004, 57939, 39405, 1018, 138, 107, 139, 236772, 6809, 236787, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236778, 236787, 236800, 236771, 8711, 138, 107, 139, 236772, 17243, 236787, 799, 236772, 15104, 54233, 529, 119508, 236772, 1741, 4615, 236761, 138, 107, 139, 236772, 75669, 236787, 236743, 236770, 236778, 26870, 568, 12429, 2234, 2487, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 35330, 27417, 236761, 1145, 236786, 5106, 236786, 2230, 39784, 236772, 141805, 236772, 236778, 236771, 236778, 236812, 769, 138, 108, 7243, 108, 1018, 4199, 30040, 753, 44795, 12050, 122354, 568, 30902, 236743, 236778, 236771, 236778, 236812, 1473, 1018, 138, 107, 236770, 236761, 5213, 63190, 75661, 15570, 39405, 1018, 138, 107, 139, 236772, 6809, 236787, 5729, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 21617, 236787, 1799, 30040, 44795, 833, 28917, 11032, 138, 107, 139, 236772, 27468, 236787, 138, 107, 141, 236772, 36997, 236787, 236743, 236819, 236787, 236800, 236771, 236964, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 141, 236772, 25780, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 236964, 236770, 236778, 236787, 236800, 236771, 8711, 138, 107, 141, 236772, 1366, 236880, 236776, 236787, 236743, 236770, 236778, 236787, 236800, 236771, 236964, 236770, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 11117, 236787, 609, 236778, 236810, 568, 141511, 236787, 5729, 236743, 236770, 236771, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 5163, 236772, 50990, 769, 138, 108, 236778, 236761, 5213, 183733, 18646, 40675, 85225, 1018, 138, 107, 139, 236772, 6809, 236787, 5729, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1392, 236743, 236778, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 21617, 236787, 7830, 2438, 6718, 11796, 9519, 138, 107, 139, 236772, 27468, 236787, 138, 107, 141, 236772, 36997, 236787, 236743, 236770, 236787, 236800, 236771, 236964, 236778, 236787, 236771, 236771, 8711, 138, 107, 141, 236772, 25780, 236787, 236743, 236778, 236787, 236771, 236771, 236964, 236812, 236787, 236771, 236771, 8711, 138, 107, 141, 236772, 26272, 10015, 2426, 236787, 236743, 236812, 236787, 236771, 236771, 236964, 236810, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 11117, 236787, 609, 236770, 236810, 568, 15370, 607, 44795, 12050, 15049, 769, 138, 107, 139, 236772, 870, 18670, 1590, 5457, 2574, 1411, 200729, 32750, 2025, 22742, 236761, 854, 236786, 141945, 236772, 95503, 769, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 52246, 236888, 236743, 245838, 252127, 106, 107 ]