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, 236775, 55679, 41230, 236764, 520, 30545, 236761, 564, 1202, 1601, 607, 2613, 573, 506, 3399, 3988, 236858, 236751, 16038, 23060, 14680, 236761, 564, 1765, 496, 4456, 607, 4148, 6704, 529, 6672, 168929, 554, 6396, 23966, 236764, 840, 1041, 2255, 6114, 740, 236858, 236745, 1460, 506, 4889, 580, 1041, 5154, 236761, 28344, 611, 33205, 506, 4876, 532, 6492, 699, 672, 3205, 236881, 808, 11116, 531, 496, 68418, 6347, 529, 3627, 236829, 5715, 236858, 236751, 506, 10739, 236787, 4560, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 10560, 236761, 2187, 236786, 64250, 554, 6396, 236772, 26781, 236761, 564, 1461, 531, 1887, 506, 178665, 7829, 573, 506, 2940, 531, 6554, 1913, 506, 18669, 236761, 16588, 236764, 532, 768, 993, 236858, 236751, 496, 2948, 24554, 993, 236764, 7463, 692, 740, 1407, 625, 657, 506, 2460, 9332, 568, 818, 2864, 7087, 1699, 506, 756, 679, 236789, 5904, 607, 506, 3847, 10739, 531, 8430, 31044, 28436, 236764, 2440, 4876, 532, 6492, 236764, 1651, 43703, 496, 71636, 3530, 16613, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 187648, 236785, 236756, 236771, 236771, 12064, 569, 587, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 20106, 21152, 26340, 507, 14602, 236804, 554, 6396, 1109, 85024, 34499, 43008, 827, 623, 7777, 1083, 623, 20647, 3509, 20158, 44074, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 520, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 20106, 168929, 554, 6396, 236764, 222653, 841, 1162, 6536, 738, 504, 6001, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 236761, 45036, 38756, 4198, 236785, 236756, 236771, 236771, 236760, 236770, 585, 621, 236756, 236771, 236771, 23935, 6564, 591, 95236, 73412, 22856, 236764, 21571, 236785, 236756, 236771, 236771, 236760, 236770, 6909, 545, 1036, 236785, 236756, 236771, 236771, 524, 2568, 527, 236764, 97117, 12149, 1450, 181908, 3051, 569, 221104, 696, 170189, 570, 8372, 236785, 236756, 236771, 236771, 524, 2275, 10498, 623, 3871, 1083, 78493, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236770, 236761, 4034, 827, 623, 2690, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236828, 236771, 236771, 236764, 623, 3404, 1083, 623, 236792, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 2032, 569, 168929, 554, 2580, 591, 2757, 129073, 570, 26066, 11564, 58410, 23179, 3714, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236778, 236761, 4034, 827, 623, 2690, 1083, 236743, 236770, 236819, 236778, 236771, 236764, 623, 4603, 1083, 236743, 236770, 236771, 236828, 236771, 236764, 623, 3404, 1083, 623, 82747, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 520, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 20106, 169830, 2985, 696, 7353, 2215, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 25938, 1604, 623, 10540, 1083, 3714, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 186249, 236765, 236812, 236765, 236819, 193980, 209639, 236935, 827, 623, 2690, 1083, 236743, 236770, 236778, 236828, 236771, 236764, 623, 4603, 1083, 236743, 236832, 236778, 236771, 1263, 623, 8777, 236779, 1201, 1083, 623, 236780, 102096, 34499, 43008, 827, 623, 42743, 1083, 623, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 2187, 236786, 42743, 236761, 2486, 827, 623, 50362, 1083, 623, 507, 236779, 7719, 25938, 106, 107, 105, 4368, 107, 1018, 1988, 16275, 569, 759, 8833, 50551, 14602, 236804, 554, 6396, 53121, 138, 107, 236772, 5213, 213418, 53121, 8833, 50551, 569, 78939, 1166, 20106, 21152, 26340, 507, 14602, 236804, 554, 6396, 1109, 85024, 34499, 43008, 138, 107, 236772, 5213, 123921, 53121, 138, 107, 138, 71510, 20647, 3509, 20158, 95515, 569, 107546, 20106, 168929, 554, 6396, 236764, 222653, 841, 1162, 6536, 738, 504, 6001, 907, 504, 18849, 6650, 236761, 45036, 38756, 125410, 160797, 591, 95236, 73412, 22856, 236764, 119009, 545, 125306, 236764, 97117, 12149, 1450, 181908, 3051, 569, 221104, 696, 170189, 570, 8372, 236928, 2275, 1781, 236829, 138, 108, 1018, 1514, 36406, 1642, 117721, 53121, 138, 107, 236770, 236761, 870, 219745, 1166, 2032, 591, 2757, 129073, 570, 58410, 26066, 11564, 5457, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 10560, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236770, 236761, 4034, 236768, 138, 107, 139, 236769, 236770, 236778, 236771, 236771, 236781, 236828, 236771, 236771, 95239, 236781, 7220, 236768, 138, 107, 236778, 236761, 870, 82747, 8234, 92429, 696, 7353, 11552, 5457, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 10560, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236778, 236761, 4034, 236768, 138, 107, 139, 236769, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 95239, 236781, 7220, 236764, 7436, 1642, 23090, 84277, 769, 138, 108, 1018, 10485, 1642, 862, 35466, 53121, 138, 107, 236772, 870, 8720, 2948, 569, 759, 233733, 16580, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 186249, 236765, 236812, 236765, 236819, 193980, 209639, 236935, 236768, 138, 108, 238631, 183922, 1642, 117721, 570, 20091, 516, 236764, 520, 10417, 236888, 10727, 39537, 570, 862, 2948, 14771, 1694, 585, 1642, 24498, 236761, 7196, 185089, 11780, 37500, 56562, 591, 1450, 53682, 1162, 53153, 236881, 236743, 249572, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 55679, 41230, 236764, 520, 30545, 236761, 564, 1202, 1601, 607, 2613, 573, 506, 3399, 3988, 236858, 236751, 16038, 23060, 14680, 236761, 564, 1765, 496, 4456, 607, 4148, 6704, 529, 6672, 168929, 554, 6396, 23966, 236764, 840, 1041, 2255, 6114, 740, 236858, 236745, 1460, 506, 4889, 580, 1041, 5154, 236761, 28344, 611, 33205, 506, 4876, 532, 6492, 699, 672, 3205, 236881, 808, 11116, 531, 496, 68418, 6347, 529, 3627, 236829, 5715, 236858, 236751, 506, 10739, 236787, 4560, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 10560, 236761, 2187, 236786, 64250, 554, 6396, 236772, 26781, 236761, 564, 1461, 531, 1887, 506, 178665, 7829, 573, 506, 2940, 531, 6554, 1913, 506, 18669, 236761, 16588, 236764, 532, 768, 993, 236858, 236751, 496, 2948, 24554, 993, 236764, 7463, 692, 740, 1407, 625, 657, 506, 2460, 9332, 568, 818, 2864, 7087, 1699, 506, 756, 679, 236789, 5904, 607, 506, 3847, 10739, 531, 8430, 31044, 28436, 236764, 2440, 4876, 532, 6492, 236764, 1651, 43703, 496, 71636, 3530, 16613, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 187648, 236785, 236756, 236771, 236771, 12064, 569, 587, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 20106, 21152, 26340, 507, 14602, 236804, 554, 6396, 1109, 85024, 34499, 43008, 827, 623, 7777, 1083, 623, 20647, 3509, 20158, 44074, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 520, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 20106, 168929, 554, 6396, 236764, 222653, 841, 1162, 6536, 738, 504, 6001, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 236761, 45036, 38756, 4198, 236785, 236756, 236771, 236771, 236760, 236770, 585, 621, 236756, 236771, 236771, 23935, 6564, 591, 95236, 73412, 22856, 236764, 21571, 236785, 236756, 236771, 236771, 236760, 236770, 6909, 545, 1036, 236785, 236756, 236771, 236771, 524, 2568, 527, 236764, 97117, 12149, 1450, 181908, 3051, 569, 221104, 696, 170189, 570, 8372, 236785, 236756, 236771, 236771, 524, 2275, 10498, 623, 3871, 1083, 78493, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236770, 236761, 4034, 827, 623, 2690, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236828, 236771, 236771, 236764, 623, 3404, 1083, 623, 236792, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 2032, 569, 168929, 554, 2580, 591, 2757, 129073, 570, 26066, 11564, 58410, 23179, 3714, 2451, 1083, 623, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236778, 236761, 4034, 827, 623, 2690, 1083, 236743, 236770, 236819, 236778, 236771, 236764, 623, 4603, 1083, 236743, 236770, 236771, 236828, 236771, 236764, 623, 3404, 1083, 623, 82747, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 520, 236785, 236756, 236771, 236771, 236744, 236770, 1166, 20106, 169830, 2985, 696, 7353, 2215, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 25938, 1604, 623, 10540, 1083, 3714, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 186249, 236765, 236812, 236765, 236819, 193980, 209639, 236935, 827, 623, 2690, 1083, 236743, 236770, 236778, 236828, 236771, 236764, 623, 4603, 1083, 236743, 236832, 236778, 236771, 1263, 623, 8777, 236779, 1201, 1083, 623, 236780, 102096, 34499, 43008, 827, 623, 42743, 1083, 623, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 2187, 236786, 42743, 236761, 2486, 827, 623, 50362, 1083, 623, 507, 236779, 7719, 25938, 106, 107, 105, 4368, 107, 1018, 1988, 16275, 569, 759, 8833, 50551, 14602, 236804, 554, 6396, 53121, 138, 107, 236772, 5213, 213418, 53121, 8833, 50551, 569, 78939, 1166, 20106, 21152, 26340, 507, 14602, 236804, 554, 6396, 1109, 85024, 34499, 43008, 138, 107, 236772, 5213, 123921, 53121, 138, 107, 138, 71510, 20647, 3509, 20158, 95515, 569, 107546, 20106, 168929, 554, 6396, 236764, 222653, 841, 1162, 6536, 738, 504, 6001, 907, 504, 18849, 6650, 236761, 45036, 38756, 125410, 160797, 591, 95236, 73412, 22856, 236764, 119009, 545, 125306, 236764, 97117, 12149, 1450, 181908, 3051, 569, 221104, 696, 170189, 570, 8372, 236928, 2275, 1781, 236829, 138, 108, 1018, 1514, 36406, 1642, 117721, 53121, 138, 107, 236770, 236761, 870, 219745, 1166, 2032, 591, 2757, 129073, 570, 58410, 26066, 11564, 5457, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 10560, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236770, 236761, 4034, 236768, 138, 107, 139, 236769, 236770, 236778, 236771, 236771, 236781, 236828, 236771, 236771, 95239, 236781, 7220, 236768, 138, 107, 236778, 236761, 870, 82747, 8234, 92429, 696, 7353, 11552, 5457, 2574, 1411, 2769, 236761, 31805, 556, 114728, 907, 504, 18849, 10560, 236761, 2187, 236786, 22126, 236772, 3955, 236786, 33604, 236786, 236778, 236771, 236778, 236800, 236786, 236771, 236812, 236786, 64250, 554, 2580, 236778, 236761, 4034, 236768, 138, 107, 139, 236769, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 95239, 236781, 7220, 236764, 7436, 1642, 23090, 84277, 769, 138, 108, 1018, 10485, 1642, 862, 35466, 53121, 138, 107, 236772, 870, 8720, 2948, 569, 759, 233733, 16580, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 186249, 236765, 236812, 236765, 236819, 193980, 209639, 236935, 236768, 138, 108, 238631, 183922, 1642, 117721, 570, 20091, 516, 236764, 520, 10417, 236888, 10727, 39537, 570, 862, 2948, 14771, 1694, 585, 1642, 24498, 236761, 7196, 185089, 11780, 37500, 56562, 591, 1450, 53682, 1162, 53153, 236881, 236743, 249572, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 236743, 236770, 236771, 236771, 23058, 531, 13924, 92523, 568, 51360, 236768, 532, 236743, 236778, 236771, 236771, 23058, 531, 100608, 568, 79271, 769, 5315, 236764, 740, 611, 974, 786, 506, 1873, 8770, 6224, 573, 1239, 63680, 236881, 4298, 236764, 9279, 1217, 1623, 1546, 2886, 795, 577, 528, 506, 3328, 48234, 236761, 3792, 786, 1281, 768, 611, 1845, 1131, 1027, 4342, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14473, 1083, 3714, 51360, 1083, 236743, 236770, 236761, 236800, 236810, 236778, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236828, 236810, 236812, 1263, 623, 5455, 236779, 25903, 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, 818, 1873, 8770, 6224, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 64080, 236768, 659, 236787, 108, 236772, 5213, 236770, 23058, 578, 236743, 236770, 236761, 236800, 236810, 236778, 42066, 1018, 138, 107, 236772, 5213, 236770, 23058, 578, 236743, 236771, 236761, 236828, 236810, 236812, 35594, 1018, 108, 10354, 116870, 236787, 107, 236770, 236761, 5213, 236770, 236771, 236771, 23058, 16130, 42066, 66515, 138, 107, 139, 236795, 236743, 236770, 236771, 236771, 621, 3841, 236743, 236770, 236761, 236800, 236810, 236778, 578, 236743, 236770, 236800, 236810, 236761, 236778, 236771, 20832, 621, 1005, 236782, 51360, 236783, 609, 108, 236778, 236761, 5213, 236778, 236771, 236771, 23058, 16130, 35594, 66515, 138, 107, 139, 236795, 236743, 236778, 236771, 236771, 621, 3841, 236743, 236771, 236761, 236828, 236810, 236812, 578, 236743, 236770, 236832, 236771, 236761, 236828, 236771, 20832, 621, 1005, 236782, 79271, 236783, 609, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 236743, 236770, 236771, 236771, 23058, 531, 13924, 92523, 568, 51360, 236768, 532, 236743, 236778, 236771, 236771, 23058, 531, 100608, 568, 79271, 769, 5315, 236764, 740, 611, 974, 786, 506, 1873, 8770, 6224, 573, 1239, 63680, 236881, 4298, 236764, 9279, 1217, 1623, 1546, 2886, 795, 577, 528, 506, 3328, 48234, 236761, 3792, 786, 1281, 768, 611, 1845, 1131, 1027, 4342, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14473, 1083, 3714, 51360, 1083, 236743, 236770, 236761, 236800, 236810, 236778, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236828, 236810, 236812, 1263, 623, 5455, 236779, 25903, 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, 818, 1873, 8770, 6224, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 64080, 236768, 659, 236787, 108, 236772, 5213, 236770, 23058, 578, 236743, 236770, 236761, 236800, 236810, 236778, 42066, 1018, 138, 107, 236772, 5213, 236770, 23058, 578, 236743, 236771, 236761, 236828, 236810, 236812, 35594, 1018, 108, 10354, 116870, 236787, 107, 236770, 236761, 5213, 236770, 236771, 236771, 23058, 16130, 42066, 66515, 138, 107, 139, 236795, 236743, 236770, 236771, 236771, 621, 3841, 236743, 236770, 236761, 236800, 236810, 236778, 578, 236743, 236770, 236800, 236810, 236761, 236778, 236771, 20832, 621, 1005, 236782, 51360, 236783, 609, 108, 236778, 236761, 5213, 236778, 236771, 236771, 23058, 16130, 35594, 66515, 138, 107, 139, 236795, 236743, 236778, 236771, 236771, 621, 3841, 236743, 236771, 236761, 236828, 236810, 236812, 578, 236743, 236770, 236832, 236771, 236761, 236828, 236771, 20832, 621, 1005, 236782, 79271, 236783, 609, 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, 1461, 531, 11327, 1070, 191554, 236772, 19859, 13154, 607, 99429, 2338, 1041, 6853, 532, 564, 659, 6995, 496, 7946, 531, 50989, 2148, 1051, 532, 1461, 531, 974, 10334, 607, 506, 6540, 236761, 5315, 236764, 740, 611, 974, 786, 506, 2587, 1694, 529, 2487, 520, 4390, 13154, 236881, 4298, 236764, 5957, 1724, 531, 1407, 1186, 95790, 6811, 528, 506, 1774, 236743, 236810, 1518, 236764, 532, 6861, 2426, 837, 5906, 735, 1800, 5422, 532, 14361, 99429, 2338, 1041, 6853, 62197, 14361, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 818, 16522, 50989, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 56036, 1083, 623, 179342, 827, 623, 2204, 77164, 1083, 11058, 27832, 827, 623, 80353, 152254, 3714, 3250, 1083, 623, 64731, 498, 88691, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 56036, 1083, 623, 179342, 827, 623, 2204, 77164, 1083, 11058, 27832, 152254, 3714, 3250, 1083, 623, 236792, 25484, 571, 68216, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 56036, 1083, 623, 42221, 831, 827, 623, 2204, 77164, 1083, 11058, 27832, 827, 623, 80353, 152254, 3714, 3250, 1083, 623, 50613, 529, 7578, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 56036, 1083, 623, 179342, 827, 623, 2204, 77164, 1083, 11058, 80353, 152254, 3714, 3250, 1083, 623, 114711, 507, 529, 229473, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 56036, 1083, 623, 100368, 827, 623, 2204, 77164, 1083, 11058, 27832, 827, 623, 80353, 1935, 165075, 106, 107, 105, 4368, 107, 22515, 580, 506, 18774, 611, 15633, 568, 236753, 214116, 699, 1774, 236743, 236810, 1518, 607, 1800, 5422, 532, 14361, 99429, 779, 1186, 5213, 236770, 6387, 1018, 20239, 784, 13138, 236787, 108, 1018, 240732, 669, 16522, 50989, 1018, 138, 107, 236772, 27999, 8799, 236787, 236743, 236778, 236771, 236778, 236771, 138, 107, 236772, 98566, 236787, 60771, 138, 107, 236772, 5375, 77164, 236787, 5422, 532, 14361, 138, 108, 13517, 13154, 964, 26558, 573, 1239, 7483, 236787, 138, 107, 236772, 5213, 64731, 498, 88691, 66515, 10522, 5422, 99429, 138, 107, 236772, 5213, 236792, 25484, 571, 68216, 66515, 74620, 18355, 568, 2217, 18155, 236768, 138, 107, 236772, 5213, 50613, 529, 7578, 66515, 10522, 14361, 99429, 138, 107, 236772, 5213, 114711, 507, 529, 229473, 66515, 34641, 18355, 568, 2217, 18155, 236768, 532, 6811, 528, 236743, 236778, 236771, 236770, 236832, 104128, 236810, 1518, 4578, 236768, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 808, 818, 16522, 50989, 236829, 653, 1601, 607, 4658, 1663, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 11327, 1070, 191554, 236772, 19859, 13154, 607, 99429, 2338, 1041, 6853, 532, 564, 659, 6995, 496, 7946, 531, 50989, 2148, 1051, 532, 1461, 531, 974, 10334, 607, 506, 6540, 236761, 5315, 236764, 740, 611, 974, 786, 506, 2587, 1694, 529, 2487, 520, 4390, 13154, 236881, 4298, 236764, 5957, 1724, 531, 1407, 1186, 95790, 6811, 528, 506, 1774, 236743, 236810, 1518, 236764, 532, 6861, 2426, 837, 5906, 735, 1800, 5422, 532, 14361, 99429, 2338, 1041, 6853, 62197, 14361, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 818, 16522, 50989, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 56036, 1083, 623, 179342, 827, 623, 2204, 77164, 1083, 11058, 27832, 827, 623, 80353, 152254, 3714, 3250, 1083, 623, 64731, 498, 88691, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 56036, 1083, 623, 179342, 827, 623, 2204, 77164, 1083, 11058, 27832, 152254, 3714, 3250, 1083, 623, 236792, 25484, 571, 68216, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 56036, 1083, 623, 42221, 831, 827, 623, 2204, 77164, 1083, 11058, 27832, 827, 623, 80353, 152254, 3714, 3250, 1083, 623, 50613, 529, 7578, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 56036, 1083, 623, 179342, 827, 623, 2204, 77164, 1083, 11058, 80353, 152254, 3714, 3250, 1083, 623, 114711, 507, 529, 229473, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 56036, 1083, 623, 100368, 827, 623, 2204, 77164, 1083, 11058, 27832, 827, 623, 80353, 1935, 165075, 106, 107, 105, 4368, 107, 22515, 580, 506, 18774, 611, 15633, 568, 236753, 214116, 699, 1774, 236743, 236810, 1518, 607, 1800, 5422, 532, 14361, 99429, 779, 1186, 5213, 236770, 6387, 1018, 20239, 784, 13138, 236787, 108, 1018, 240732, 669, 16522, 50989, 1018, 138, 107, 236772, 27999, 8799, 236787, 236743, 236778, 236771, 236778, 236771, 138, 107, 236772, 98566, 236787, 60771, 138, 107, 236772, 5375, 77164, 236787, 5422, 532, 14361, 138, 108, 13517, 13154, 964, 26558, 573, 1239, 7483, 236787, 138, 107, 236772, 5213, 64731, 498, 88691, 66515, 10522, 5422, 99429, 138, 107, 236772, 5213, 236792, 25484, 571, 68216, 66515, 74620, 18355, 568, 2217, 18155, 236768, 138, 107, 236772, 5213, 50613, 529, 7578, 66515, 10522, 14361, 99429, 138, 107, 236772, 5213, 114711, 507, 529, 229473, 66515, 34641, 18355, 568, 2217, 18155, 236768, 532, 6811, 528, 236743, 236778, 236771, 236770, 236832, 104128, 236810, 1518, 4578, 236768, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 808, 818, 16522, 50989, 236829, 653, 1601, 607, 4658, 1663, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 496, 4940, 20412, 699, 506, 756, 48204, 236789, 8038, 607, 1806, 135356, 4171, 531, 7671, 1041, 9578, 18998, 236761, 26660, 625, 236881, 106, 107, 105, 4368, 107, 818, 2487, 6436, 776, 711, 1894, 49643, 506, 756, 48204, 236789, 8038, 573, 67896, 37485, 236761, 3153, 236764, 564, 740, 12270, 496, 4940, 20412, 607, 1806, 135356, 4171, 699, 1027, 8038, 236761, 21284, 611, 1133, 786, 531, 7162, 607, 672, 236881, 236743, 108, 2859, 611, 2036, 1461, 531, 7162, 236764, 564, 795, 2246, 506, 1292, 2165, 828, 236779, 81638, 236779, 3017, 236779, 2543, 236779, 1309, 236779, 10618, 236929, 607, 2165, 166333, 3017, 17846, 236784, 236800, 21233, 106, 107, 105, 2364, 107, 82879, 236764, 1027, 8038, 4146, 236761, 3792, 236858, 236751, 6309, 607, 9002, 31341, 506, 8417, 233444, 855, 236761, 14019, 135356, 4171, 237028, 1904, 7046, 1063, 236761, 1174, 236858, 859, 4516, 1345, 872, 528, 1041, 2148, 27355, 17498, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23376, 1083, 623, 818, 16254, 64624, 607, 506, 37676, 827, 623, 10618, 1083, 623, 48204, 827, 623, 4823, 5008, 236779, 8992, 1083, 11058, 9467, 827, 623, 37623, 827, 623, 20523, 819, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 20412, 532, 135356, 4171, 236787, 138, 107, 1018, 85087, 53121, 165996, 818, 16254, 64624, 607, 506, 37676, 147698, 138, 107, 1018, 7874, 5008, 42507, 53121, 3446, 236764, 8197, 236764, 25872, 138, 108, 194419, 236764, 625, 808, 31275, 236829, 8091, 699, 623, 48204, 236775, 9785, 506, 5904, 236858, 236751, 16305, 236761, 3792, 506, 31341, 28797, 236888, 236743, 244876, 239794, 19704, 919, 236881, 106, 107, 105, 2364, 107, 43204, 614, 4553, 573, 496, 2203, 3997, 3739, 600, 12054, 5707, 840, 2036, 815, 496, 6374, 529, 1041, 25075, 83426, 236761, 3792, 236858, 236751, 11825, 5431, 532, 24597, 237028, 4881, 236858, 236745, 735, 26972, 16810, 6972, 564, 236858, 236757, 1164, 2264, 5904, 49163, 236761, 106, 107, 105, 4368, 107, 2021, 10946, 822, 4553, 236764, 564, 236789, 859, 1202, 822, 5213, 6005, 1463, 125546, 5213, 5455, 1463, 125546, 532, 506, 5213, 19645, 1018, 568, 236744, 236761, 236759, 1126, 623, 18112, 236761, 854, 236775, 653, 496, 2401, 8610, 769, 1701, 25075, 83426, 236764, 692, 1451, 22064, 2203, 3997, 3755, 607, 9578, 5192, 568, 236744, 236761, 236759, 1126, 623, 190909, 236775, 900, 623, 25154, 28896, 236775, 578, 623, 9503, 25154, 236940, 19645, 236761, 854, 4248, 19148, 822, 4889, 236764, 532, 564, 236858, 859, 8729, 3835, 600, 22223, 3904, 532, 119496, 236888, 236743, 245838, 248737, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 496, 4940, 20412, 699, 506, 756, 48204, 236789, 8038, 607, 1806, 135356, 4171, 531, 7671, 1041, 9578, 18998, 236761, 26660, 625, 236881, 106, 107, 105, 4368, 107, 818, 2487, 6436, 776, 711, 1894, 49643, 506, 756, 48204, 236789, 8038, 573, 67896, 37485, 236761, 3153, 236764, 564, 740, 12270, 496, 4940, 20412, 607, 1806, 135356, 4171, 699, 1027, 8038, 236761, 21284, 611, 1133, 786, 531, 7162, 607, 672, 236881, 236743, 108, 2859, 611, 2036, 1461, 531, 7162, 236764, 564, 795, 2246, 506, 1292, 2165, 828, 236779, 81638, 236779, 3017, 236779, 2543, 236779, 1309, 236779, 10618, 236929, 607, 2165, 166333, 3017, 17846, 236784, 236800, 21233, 106, 107, 105, 2364, 107, 82879, 236764, 1027, 8038, 4146, 236761, 3792, 236858, 236751, 6309, 607, 9002, 31341, 506, 8417, 233444, 855, 236761, 14019, 135356, 4171, 237028, 1904, 7046, 1063, 236761, 1174, 236858, 859, 4516, 1345, 872, 528, 1041, 2148, 27355, 17498, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23376, 1083, 623, 818, 16254, 64624, 607, 506, 37676, 827, 623, 10618, 1083, 623, 48204, 827, 623, 4823, 5008, 236779, 8992, 1083, 11058, 9467, 827, 623, 37623, 827, 623, 20523, 819, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 20412, 532, 135356, 4171, 236787, 138, 107, 1018, 85087, 53121, 165996, 818, 16254, 64624, 607, 506, 37676, 147698, 138, 107, 1018, 7874, 5008, 42507, 53121, 3446, 236764, 8197, 236764, 25872, 138, 108, 194419, 236764, 625, 808, 31275, 236829, 8091, 699, 623, 48204, 236775, 9785, 506, 5904, 236858, 236751, 16305, 236761, 3792, 506, 31341, 28797, 236888, 236743, 244876, 239794, 19704, 919, 236881, 106, 107, 105, 2364, 107, 43204, 614, 4553, 573, 496, 2203, 3997, 3739, 600, 12054, 5707, 840, 2036, 815, 496, 6374, 529, 1041, 25075, 83426, 236761, 3792, 236858, 236751, 11825, 5431, 532, 24597, 237028, 4881, 236858, 236745, 735, 26972, 16810, 6972, 564, 236858, 236757, 1164, 2264, 5904, 49163, 236761, 106, 107, 105, 4368, 107, 2021, 10946, 822, 4553, 236764, 564, 236789, 859, 1202, 822, 5213, 6005, 1463, 125546, 5213, 5455, 1463, 125546, 532, 506, 5213, 19645, 1018, 568, 236744, 236761, 236759, 1126, 623, 18112, 236761, 854, 236775, 653, 496, 2401, 8610, 769, 1701, 25075, 83426, 236764, 692, 1451, 22064, 2203, 3997, 3755, 607, 9578, 5192, 568, 236744, 236761, 236759, 1126, 623, 190909, 236775, 900, 623, 25154, 28896, 236775, 578, 623, 9503, 25154, 236940, 19645, 236761, 854, 4248, 19148, 822, 4889, 236764, 532, 564, 236858, 859, 8729, 3835, 600, 22223, 3904, 532, 119496, 236888, 236743, 245838, 248737, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 29888, 506, 8221, 8781, 573, 496, 2263, 2260, 5975, 4374, 1015, 3847, 506, 4553, 677, 103599, 236779, 57103, 236779, 17133, 236940, 19645, 236761, 854, 236761, 2195, 6950, 901, 236789, 500, 13327, 531, 5908, 2460, 52416, 1343, 6672, 13199, 236761, 3199, 611, 3927, 573, 910, 1237, 8221, 3205, 1699, 672, 4553, 3421, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2883, 1083, 623, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 827, 623, 1201, 1083, 623, 59026, 1542, 109744, 20980, 827, 623, 13330, 236779, 143399, 1083, 623, 9020, 35047, 236764, 7681, 81536, 236764, 532, 4374, 529, 506, 70511, 7167, 9055, 236761, 29980, 6013, 756, 818, 35028, 34317, 41964, 529, 92451, 55698, 236789, 684, 15224, 42425, 51727, 1781, 104960, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 547, 1083, 623, 30015, 236779, 2305, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236770, 236812, 236800, 236778, 827, 623, 4818, 1083, 623, 40812, 827, 623, 3709, 236779, 2861, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8221, 8781, 1938, 564, 1765, 573, 506, 4553, 3421, 677, 103599, 236779, 57103, 236779, 17133, 236940, 19645, 236761, 854, 236787, 108, 1018, 16679, 7343, 53121, 97568, 109744, 20980, 138, 107, 1018, 19118, 10297, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 236768, 138, 107, 1018, 16679, 136725, 25551, 53121, 138, 107, 236775, 9020, 35047, 236764, 7681, 81536, 236764, 532, 4374, 529, 506, 70511, 7167, 9055, 236761, 29980, 6013, 756, 818, 35028, 34317, 41964, 529, 92451, 55698, 236789, 684, 15224, 42425, 51727, 1781, 108, 818, 3927, 691, 7723, 10428, 568, 7990, 5853, 236787, 102899, 236779, 2305, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236770, 236812, 236800, 236778, 236768, 532, 8323, 236743, 236770, 1354, 236761, 1174, 8781, 42298, 15419, 528, 496, 2260, 5975, 236764, 837, 100146, 607, 822, 2864, 1003, 496, 2263, 2260, 5975, 4374, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 8159, 600, 8781, 236761, 669, 70511, 7167, 9055, 5603, 100146, 607, 1023, 2263, 2299, 236761, 3199, 611, 1492, 3927, 573, 2264, 4374, 236789, 236751, 8221, 8781, 1699, 506, 4553, 673, 236761, 37540, 236940, 19645, 236761, 854, 236881, 1174, 563, 573, 64451, 1023, 16038, 2260, 24874, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13395, 236779, 106790, 1083, 78493, 1201, 1083, 623, 65897, 8943, 827, 623, 21254, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 827, 623, 13330, 236779, 87622, 1083, 1847, 236764, 623, 500, 113458, 236779, 14210, 1083, 623, 16679, 25010, 15852, 756, 194618, 754, 7167, 9055, 236789, 528, 1873, 3207, 3336, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 6774, 236779, 3456, 1083, 623, 236804, 236761, 37540, 236940, 19645, 236761, 854, 827, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 3709, 236779, 2861, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8221, 8781, 1938, 573, 506, 4553, 3421, 673, 236761, 37540, 236940, 19645, 236761, 854, 236787, 108, 1018, 16679, 7343, 53121, 18821, 8943, 138, 107, 1018, 19118, 10297, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 236768, 138, 107, 1018, 87228, 18365, 53121, 29520, 27662, 138, 107, 1018, 1479, 113458, 7918, 53121, 29520, 25010, 15852, 623, 194618, 754, 7167, 9055, 236775, 528, 506, 1873, 3207, 3336, 108, 818, 3927, 691, 7723, 10428, 1699, 4553, 5213, 236804, 236761, 37540, 236940, 19645, 236761, 854, 1018, 532, 8323, 236743, 236770, 1354, 236761, 1174, 8781, 236789, 236751, 14481, 4928, 529, 506, 70511, 7167, 9055, 3590, 625, 496, 3188, 4241, 573, 822, 2299, 236789, 236751, 26937, 3548, 236761, 108, 38786, 611, 1133, 786, 531, 3927, 573, 1027, 4767, 20183, 531, 1601, 607, 822, 2260, 24874, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 18821, 236789, 236751, 8781, 4889, 236761, 5612, 1800, 20183, 659, 27662, 3295, 529, 1023, 2260, 5975, 236764, 564, 1751, 692, 236789, 560, 10428, 5628, 784, 506, 2307, 19722, 573, 1492, 236761, 21284, 611, 577, 2735, 531, 25774, 1239, 12396, 1131, 496, 3823, 12323, 2354, 573, 1041, 2460, 6995, 11709, 236881, 564, 236789, 236753, 1133, 531, 2514, 506, 5618, 236764, 9851, 236764, 532, 28250, 8687, 13957, 573, 3735, 5577, 1056, 15656, 855, 5177, 52416, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 611, 2619, 496, 1816, 236772, 5140, 12323, 600, 611, 740, 5583, 4865, 1131, 822, 2460, 6995, 2354, 236761, 5978, 564, 740, 236789, 236745, 8729, 10781, 9413, 236764, 564, 236789, 859, 6518, 672, 1938, 528, 496, 3582, 236764, 13957, 1595, 573, 822, 8735, 236787, 108, 7243, 108, 10354, 5213, 194618, 754, 7167, 9055, 16091, 121903, 1018, 138, 107, 16907, 2542, 14232, 141684, 103663, 12016, 138, 108, 1018, 236770, 236761, 97568, 109744, 20980, 1018, 138, 107, 236772, 5213, 33333, 29520, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 236768, 138, 107, 236772, 5213, 87228, 7918, 53121, 29520, 54369, 25010, 42298, 623, 14531, 529, 506, 70511, 7167, 9055, 236775, 138, 107, 236772, 5213, 1479, 113458, 53121, 13810, 8593, 2263, 2260, 5975, 4374, 236764, 7467, 528, 623, 818, 35028, 34317, 41964, 529, 92451, 55698, 236775, 138, 108, 1018, 236778, 236761, 18821, 8943, 1018, 138, 107, 236772, 5213, 33333, 29520, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 236768, 138, 107, 236772, 5213, 87228, 7918, 53121, 29520, 25010, 15852, 623, 194618, 754, 7167, 9055, 236775, 528, 506, 1873, 3207, 3336, 138, 107, 236772, 5213, 1479, 113458, 53121, 128731, 61259, 236786, 14531, 573, 2460, 26937, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 1138, 1027, 4767, 8687, 653, 53892, 30981, 531, 672, 12323, 236881, 1599, 740, 4865, 672, 1816, 5467, 1131, 822, 6995, 11709, 653, 2460, 3997, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 822, 2260, 24874, 2460, 33972, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 29888, 506, 8221, 8781, 573, 496, 2263, 2260, 5975, 4374, 1015, 3847, 506, 4553, 677, 103599, 236779, 57103, 236779, 17133, 236940, 19645, 236761, 854, 236761, 2195, 6950, 901, 236789, 500, 13327, 531, 5908, 2460, 52416, 1343, 6672, 13199, 236761, 3199, 611, 3927, 573, 910, 1237, 8221, 3205, 1699, 672, 4553, 3421, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2883, 1083, 623, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 827, 623, 1201, 1083, 623, 59026, 1542, 109744, 20980, 827, 623, 13330, 236779, 143399, 1083, 623, 9020, 35047, 236764, 7681, 81536, 236764, 532, 4374, 529, 506, 70511, 7167, 9055, 236761, 29980, 6013, 756, 818, 35028, 34317, 41964, 529, 92451, 55698, 236789, 684, 15224, 42425, 51727, 1781, 104960, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 547, 1083, 623, 30015, 236779, 2305, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236770, 236812, 236800, 236778, 827, 623, 4818, 1083, 623, 40812, 827, 623, 3709, 236779, 2861, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8221, 8781, 1938, 564, 1765, 573, 506, 4553, 3421, 677, 103599, 236779, 57103, 236779, 17133, 236940, 19645, 236761, 854, 236787, 108, 1018, 16679, 7343, 53121, 97568, 109744, 20980, 138, 107, 1018, 19118, 10297, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 236768, 138, 107, 1018, 16679, 136725, 25551, 53121, 138, 107, 236775, 9020, 35047, 236764, 7681, 81536, 236764, 532, 4374, 529, 506, 70511, 7167, 9055, 236761, 29980, 6013, 756, 818, 35028, 34317, 41964, 529, 92451, 55698, 236789, 684, 15224, 42425, 51727, 1781, 108, 818, 3927, 691, 7723, 10428, 568, 7990, 5853, 236787, 102899, 236779, 2305, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236779, 236770, 236812, 236800, 236778, 236768, 532, 8323, 236743, 236770, 1354, 236761, 1174, 8781, 42298, 15419, 528, 496, 2260, 5975, 236764, 837, 100146, 607, 822, 2864, 1003, 496, 2263, 2260, 5975, 4374, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 8159, 600, 8781, 236761, 669, 70511, 7167, 9055, 5603, 100146, 607, 1023, 2263, 2299, 236761, 3199, 611, 1492, 3927, 573, 2264, 4374, 236789, 236751, 8221, 8781, 1699, 506, 4553, 673, 236761, 37540, 236940, 19645, 236761, 854, 236881, 1174, 563, 573, 64451, 1023, 16038, 2260, 24874, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13395, 236779, 106790, 1083, 78493, 1201, 1083, 623, 65897, 8943, 827, 623, 21254, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 827, 623, 13330, 236779, 87622, 1083, 1847, 236764, 623, 500, 113458, 236779, 14210, 1083, 623, 16679, 25010, 15852, 756, 194618, 754, 7167, 9055, 236789, 528, 1873, 3207, 3336, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 6774, 236779, 3456, 1083, 623, 236804, 236761, 37540, 236940, 19645, 236761, 854, 827, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 3709, 236779, 2861, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8221, 8781, 1938, 573, 506, 4553, 3421, 673, 236761, 37540, 236940, 19645, 236761, 854, 236787, 108, 1018, 16679, 7343, 53121, 18821, 8943, 138, 107, 1018, 19118, 10297, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 236768, 138, 107, 1018, 87228, 18365, 53121, 29520, 27662, 138, 107, 1018, 1479, 113458, 7918, 53121, 29520, 25010, 15852, 623, 194618, 754, 7167, 9055, 236775, 528, 506, 1873, 3207, 3336, 108, 818, 3927, 691, 7723, 10428, 1699, 4553, 5213, 236804, 236761, 37540, 236940, 19645, 236761, 854, 1018, 532, 8323, 236743, 236770, 1354, 236761, 1174, 8781, 236789, 236751, 14481, 4928, 529, 506, 70511, 7167, 9055, 3590, 625, 496, 3188, 4241, 573, 822, 2299, 236789, 236751, 26937, 3548, 236761, 108, 38786, 611, 1133, 786, 531, 3927, 573, 1027, 4767, 20183, 531, 1601, 607, 822, 2260, 24874, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 18821, 236789, 236751, 8781, 4889, 236761, 5612, 1800, 20183, 659, 27662, 3295, 529, 1023, 2260, 5975, 236764, 564, 1751, 692, 236789, 560, 10428, 5628, 784, 506, 2307, 19722, 573, 1492, 236761, 21284, 611, 577, 2735, 531, 25774, 1239, 12396, 1131, 496, 3823, 12323, 2354, 573, 1041, 2460, 6995, 11709, 236881, 564, 236789, 236753, 1133, 531, 2514, 506, 5618, 236764, 9851, 236764, 532, 28250, 8687, 13957, 573, 3735, 5577, 1056, 15656, 855, 5177, 52416, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 611, 2619, 496, 1816, 236772, 5140, 12323, 600, 611, 740, 5583, 4865, 1131, 822, 2460, 6995, 2354, 236761, 5978, 564, 740, 236789, 236745, 8729, 10781, 9413, 236764, 564, 236789, 859, 6518, 672, 1938, 528, 496, 3582, 236764, 13957, 1595, 573, 822, 8735, 236787, 108, 7243, 108, 10354, 5213, 194618, 754, 7167, 9055, 16091, 121903, 1018, 138, 107, 16907, 2542, 14232, 141684, 103663, 12016, 138, 108, 1018, 236770, 236761, 97568, 109744, 20980, 1018, 138, 107, 236772, 5213, 33333, 29520, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 574, 103599, 236761, 57103, 236761, 17133, 236761, 236832, 236768, 138, 107, 236772, 5213, 87228, 7918, 53121, 29520, 54369, 25010, 42298, 623, 14531, 529, 506, 70511, 7167, 9055, 236775, 138, 107, 236772, 5213, 1479, 113458, 53121, 13810, 8593, 2263, 2260, 5975, 4374, 236764, 7467, 528, 623, 818, 35028, 34317, 41964, 529, 92451, 55698, 236775, 138, 108, 1018, 236778, 236761, 18821, 8943, 1018, 138, 107, 236772, 5213, 33333, 29520, 53121, 870, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 5457, 2574, 1411, 2769, 236761, 21254, 236761, 854, 236786, 236804, 9305, 49811, 236761, 42359, 754, 3070, 38057, 236768, 138, 107, 236772, 5213, 87228, 7918, 53121, 29520, 25010, 15852, 623, 194618, 754, 7167, 9055, 236775, 528, 506, 1873, 3207, 3336, 138, 107, 236772, 5213, 1479, 113458, 53121, 128731, 61259, 236786, 14531, 573, 2460, 26937, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 1138, 1027, 4767, 8687, 653, 53892, 30981, 531, 672, 12323, 236881, 1599, 740, 4865, 672, 1816, 5467, 1131, 822, 6995, 11709, 653, 2460, 3997, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 822, 2260, 24874, 2460, 33972, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 26955, 10739, 12692, 573, 1800, 16167, 532, 14529, 1816, 3004, 528, 1041, 18241, 3997, 1458, 236761, 5315, 236764, 2246, 1694, 236779, 2451, 236779, 109894, 236779, 8194, 607, 16167, 4403, 531, 974, 1061, 8134, 1550, 236761, 4298, 236764, 2246, 506, 1638, 5904, 1570, 607, 14529, 1816, 4403, 531, 33205, 1061, 8134, 236761, 13472, 236764, 2324, 1239, 1156, 3103, 5059, 22680, 531, 2847, 506, 2558, 9831, 1550, 236761, 1174, 795, 1601, 786, 30726, 1217, 1041, 1458, 19171, 1607, 4009, 4458, 573, 5464, 59533, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16213, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16213, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 818, 2558, 9831, 1550, 573, 10739, 12692, 528, 822, 18241, 3997, 1458, 563, 9255, 684, 99126, 506, 3103, 5059, 22680, 236787, 108, 236772, 16167, 4403, 8134, 236787, 5213, 236770, 1018, 107, 236772, 53527, 1816, 4403, 8134, 236787, 5213, 236778, 1018, 108, 1018, 9640, 9831, 1550, 53121, 2165, 236770, 900, 236743, 236778, 578, 236743, 236800, 236929, 108, 2094, 1550, 184202, 10739, 12692, 6868, 573, 1800, 4009, 4458, 528, 822, 5464, 59533, 28079, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 26955, 10739, 12692, 573, 1800, 16167, 532, 14529, 1816, 3004, 528, 1041, 18241, 3997, 1458, 236761, 5315, 236764, 2246, 1694, 236779, 2451, 236779, 109894, 236779, 8194, 607, 16167, 4403, 531, 974, 1061, 8134, 1550, 236761, 4298, 236764, 2246, 506, 1638, 5904, 1570, 607, 14529, 1816, 4403, 531, 33205, 1061, 8134, 236761, 13472, 236764, 2324, 1239, 1156, 3103, 5059, 22680, 531, 2847, 506, 2558, 9831, 1550, 236761, 1174, 795, 1601, 786, 30726, 1217, 1041, 1458, 19171, 1607, 4009, 4458, 573, 5464, 59533, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16213, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16213, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 818, 2558, 9831, 1550, 573, 10739, 12692, 528, 822, 18241, 3997, 1458, 563, 9255, 684, 99126, 506, 3103, 5059, 22680, 236787, 108, 236772, 16167, 4403, 8134, 236787, 5213, 236770, 1018, 107, 236772, 53527, 1816, 4403, 8134, 236787, 5213, 236778, 1018, 108, 1018, 9640, 9831, 1550, 53121, 2165, 236770, 900, 236743, 236778, 578, 236743, 236800, 236929, 108, 2094, 1550, 184202, 10739, 12692, 6868, 573, 1800, 4009, 4458, 528, 822, 5464, 59533, 28079, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 1601, 786, 18840, 506, 1873, 2436, 1262, 573, 24242, 532, 11006, 496, 31044, 2072, 580, 1061, 12376, 4588, 236761, 9187, 684, 67896, 506, 6524, 84390, 1262, 573, 506, 74436, 236786, 38556, 12376, 6727, 1699, 974, 236779, 236828, 236779, 828, 1168, 13077, 236764, 1299, 2426, 506, 3717, 532, 6739, 1900, 6249, 573, 672, 6727, 1699, 974, 236779, 236810, 236779, 828, 2400, 3070, 20786, 532, 974, 236779, 236810, 236779, 828, 2400, 17133, 713, 236761, 13472, 236764, 33205, 506, 228068, 1262, 573, 506, 1774, 236743, 236778, 236812, 3885, 1699, 974, 236779, 236828, 236779, 828, 131142, 607, 236743, 236770, 236772, 13807, 20312, 236761, 9996, 2889, 1546, 2918, 6178, 506, 4338, 12376, 6727, 532, 6137, 699, 506, 3527, 2918, 236761, 173856, 506, 12396, 528, 496, 1595, 600, 3831, 3385, 15067, 236764, 2436, 8744, 236764, 532, 12376, 5542, 9935, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 13707, 672, 2864, 1547, 506, 3149, 9299, 31324, 28150, 568, 5586, 547, 532, 4430, 4706, 907, 236768, 659, 9724, 236761, 5450, 529, 506, 4867, 1262, 6436, 740, 577, 34961, 2180, 4341, 4430, 28150, 236761, 7323, 2847, 506, 9299, 4430, 5853, 532, 6789, 2307, 573, 31324, 1680, 26891, 607, 2436, 1262, 3671, 236761, 106, 107, 105, 2364, 107, 236777, 57428, 573, 506, 52233, 236761, 5715, 659, 1041, 9299, 28150, 573, 31324, 236787, 5213, 5950, 5853, 53121, 2165, 36196, 8640, 7071, 236832, 236778, 236779, 100725, 236779, 161795, 57196, 236929, 5213, 5950, 8136, 53121, 2165, 120237, 986, 236779, 55595, 236779, 2478, 236779, 236778, 236771, 236778, 236800, 177443, 7323, 7162, 607, 506, 3303, 2864, 1699, 1239, 28150, 236761, 9187, 684, 67896, 506, 74436, 236786, 38556, 84390, 1262, 607, 2165, 828, 236779, 236828, 236779, 828, 1168, 13077, 8347, 17096, 784, 13323, 5904, 9139, 3204, 1239, 31324, 6137, 236761, 3792, 786, 1281, 768, 3342, 30981, 659, 4354, 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, 131770, 236779, 16754, 1083, 623, 100725, 236786, 38556, 827, 623, 9707, 1083, 236743, 236778, 236825, 236812, 236800, 236778, 236761, 236832, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 10955, 236770, 236761, 236778, 236800, 70887, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236812, 236810, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236810, 236770, 236800, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 19330, 1083, 236743, 236778, 236825, 236812, 236778, 236828, 236761, 236810, 236764, 623, 891, 1083, 236743, 236778, 236825, 236812, 236800, 236810, 236761, 236819, 236764, 623, 22775, 14475, 236779, 8318, 1083, 623, 11480, 827, 623, 43289, 1083, 623, 236770, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16754, 1083, 623, 100725, 236786, 38556, 827, 623, 236763, 2643, 1083, 78493, 9707, 1083, 236743, 236778, 236825, 236810, 236771, 236771, 236761, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236761, 236810, 236764, 623, 11339, 1083, 236743, 236770, 236778, 236800, 1263, 3714, 9707, 1083, 236743, 236778, 236825, 236810, 236771, 236771, 236761, 236771, 236764, 623, 20845, 1083, 236743, 236770, 236771, 236761, 236778, 236764, 623, 11339, 1083, 236743, 236828, 236819, 1263, 3714, 9707, 1083, 236743, 236778, 236825, 236812, 236819, 236819, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236828, 236761, 236832, 236764, 623, 11339, 1083, 236743, 236825, 236832, 104960, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 16350, 236779, 15104, 1083, 623, 51757, 1894, 1984, 18911, 657, 609, 236778, 236825, 236764, 236810, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 105375, 1083, 78493, 9707, 1083, 623, 236778, 236819, 236812, 236828, 236771, 236761, 236832, 236810, 827, 623, 22111, 1083, 623, 236771, 236761, 236810, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236812, 236828, 236810, 236761, 236778, 236810, 827, 623, 22111, 1083, 623, 236770, 236761, 236778, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236812, 236819, 236771, 236761, 236771, 236771, 827, 623, 22111, 1083, 623, 236771, 236761, 236800, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236812, 236819, 236810, 236761, 236810, 236771, 827, 623, 22111, 1083, 623, 236778, 236761, 236770, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236810, 236771, 236771, 236761, 236771, 236771, 827, 623, 22111, 1083, 623, 236771, 236761, 236832, 25938, 1604, 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, 16350, 236779, 15104, 1083, 623, 236778, 236812, 236761, 236832, 74436, 2487, 657, 1791, 2679, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236810, 236771, 236771, 236761, 236810, 827, 623, 11480, 1083, 623, 236778, 236825, 236810, 236810, 236771, 236761, 236800, 827, 623, 976, 1083, 623, 236778, 236825, 236812, 236828, 236771, 236761, 236778, 827, 623, 5977, 1083, 623, 236778, 236825, 236810, 236778, 236771, 236761, 236832, 827, 623, 20845, 1083, 623, 236812, 236810, 236771, 236761, 236778, 236810, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236810, 236778, 236771, 236761, 236828, 827, 623, 11480, 1083, 623, 236778, 236825, 236825, 236771, 236771, 236761, 236771, 827, 623, 976, 1083, 623, 236778, 236825, 236810, 236770, 236771, 236761, 236812, 827, 623, 5977, 1083, 623, 236778, 236825, 236810, 236828, 236771, 236761, 236819, 827, 623, 20845, 1083, 623, 236810, 236770, 236771, 236761, 236800, 236771, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236810, 236828, 236770, 236761, 236771, 827, 623, 11480, 1083, 623, 236778, 236825, 236825, 236810, 236771, 236761, 236810, 827, 623, 976, 1083, 623, 236778, 236825, 236810, 236832, 236771, 236761, 236770, 827, 623, 5977, 1083, 623, 236778, 236825, 236825, 236800, 236771, 236761, 236778, 827, 623, 20845, 1083, 623, 236810, 236819, 236771, 236761, 236812, 236771, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236825, 236800, 236771, 236761, 236800, 827, 623, 11480, 1083, 623, 236778, 236825, 236832, 236770, 236771, 236761, 236828, 827, 623, 976, 1083, 623, 236778, 236825, 236825, 236778, 236771, 236761, 236810, 827, 623, 5977, 1083, 623, 236778, 236825, 236825, 236819, 236771, 236761, 236812, 827, 623, 20845, 1083, 623, 236825, 236778, 236771, 236761, 236770, 236810, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236825, 236819, 236771, 236761, 236810, 827, 623, 11480, 1083, 623, 236778, 236825, 236832, 236810, 236771, 236761, 236832, 827, 623, 976, 1083, 623, 236778, 236825, 236825, 236828, 236771, 236761, 236800, 827, 623, 5977, 1083, 623, 236778, 236825, 236832, 236812, 236771, 236761, 236825, 827, 623, 20845, 1083, 623, 236810, 236828, 236771, 236761, 236819, 236771, 25938, 1604, 623, 131770, 236779, 16754, 1083, 623, 100725, 236786, 38556, 827, 623, 32248, 1083, 623, 236770, 236754, 827, 623, 6725, 236779, 1516, 236779, 11116, 1083, 236743, 236778, 236812, 236783, 106, 107, 105, 4368, 107, 1018, 76688, 568, 100725, 236786, 38556, 236768, 12726, 13768, 8708, 1018, 138, 107, 236829, 2205, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236743, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 59528, 236829, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 558, 13077, 41959, 1018, 138, 107, 236772, 5213, 8782, 14584, 66515, 609, 236778, 236825, 236764, 236812, 236800, 236778, 236761, 236832, 236810, 138, 107, 236772, 5213, 236778, 236812, 236754, 14376, 66515, 900, 236770, 236761, 236778, 236800, 236908, 138, 107, 236772, 5213, 236778, 236812, 236754, 26036, 66515, 609, 236770, 236764, 236812, 236810, 236778, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 73319, 236772, 51455, 66599, 66515, 609, 236778, 236825, 236764, 236812, 236778, 236828, 236761, 236810, 236771, 568, 19330, 236768, 2192, 609, 236778, 236825, 236764, 236812, 236800, 236810, 236761, 236819, 236771, 568, 891, 236768, 138, 107, 236772, 5213, 68058, 14475, 27242, 66515, 4819, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 12045, 7167, 13768, 1018, 138, 107, 1018, 27015, 40082, 568, 73319, 69934, 62902, 236787, 138, 107, 236772, 27717, 1894, 18911, 657, 5213, 236795, 236778, 236825, 236764, 236810, 236771, 236771, 1018, 607, 236743, 236770, 236810, 236761, 236810, 74436, 5542, 236761, 138, 107, 236772, 25275, 51682, 92016, 1164, 3426, 1873, 3385, 236764, 17674, 11691, 2142, 236761, 138, 108, 1018, 75728, 40082, 568, 51455, 69934, 62902, 236787, 138, 107, 236772, 113970, 2679, 657, 609, 236778, 236825, 236764, 236812, 236800, 236810, 236761, 236819, 236771, 236764, 840, 19276, 46840, 7412, 657, 5213, 236795, 236778, 236819, 236764, 236812, 236828, 236771, 236761, 236832, 236810, 236862, 84750, 138, 107, 236772, 236743, 236778, 236812, 236761, 236832, 74436, 2487, 657, 1791, 2679, 2192, 3435, 8047, 10202, 768, 3385, 33358, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 38690, 50988, 936, 48993, 568, 236770, 236772, 13807, 235842, 236764, 11662, 236743, 236778, 236812, 236754, 62902, 138, 107, 236909, 7578, 147, 236909, 7607, 140, 236909, 4819, 140, 236909, 14533, 141, 236909, 17016, 139, 236909, 26036, 568, 100725, 236768, 1109, 138, 107, 236909, 2819, 236909, 40686, 236909, 40686, 236909, 40686, 236909, 40686, 236909, 29118, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236771, 236754, 1109, 609, 236778, 236825, 236764, 236810, 236771, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236810, 236810, 236771, 236761, 236800, 1109, 609, 236778, 236825, 236764, 236812, 236828, 236771, 236761, 236778, 1109, 609, 236778, 236825, 236764, 236810, 236778, 236771, 236761, 236832, 1109, 236743, 236812, 236810, 236771, 236761, 236778, 236810, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236770, 236754, 1109, 609, 236778, 236825, 236764, 236810, 236778, 236771, 236761, 236828, 1109, 609, 236778, 236825, 236764, 236825, 236771, 236771, 236761, 236771, 1109, 609, 236778, 236825, 236764, 236810, 236770, 236771, 236761, 236812, 1109, 609, 236778, 236825, 236764, 236810, 236828, 236771, 236761, 236819, 1109, 236743, 236810, 236770, 236771, 236761, 236800, 236771, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236778, 236754, 1109, 609, 236778, 236825, 236764, 236810, 236828, 236770, 236761, 236771, 1109, 609, 236778, 236825, 236764, 236825, 236810, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236810, 236832, 236771, 236761, 236770, 1109, 609, 236778, 236825, 236764, 236825, 236800, 236771, 236761, 236778, 1109, 236743, 236810, 236819, 236771, 236761, 236812, 236771, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236800, 236754, 1109, 609, 236778, 236825, 236764, 236825, 236800, 236771, 236761, 236800, 1109, 609, 236778, 236825, 236764, 236832, 236770, 236771, 236761, 236828, 1109, 609, 236778, 236825, 236764, 236825, 236778, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236825, 236819, 236771, 236761, 236812, 1109, 236743, 236825, 236778, 236771, 236761, 236770, 236810, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236812, 236754, 1109, 609, 236778, 236825, 236764, 236825, 236819, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236832, 236810, 236771, 236761, 236832, 1109, 609, 236778, 236825, 236764, 236825, 236828, 236771, 236761, 236800, 1109, 609, 236778, 236825, 236764, 236832, 236812, 236771, 236761, 236825, 1109, 236743, 236810, 236828, 236771, 236761, 236819, 236771, 143, 236909, 138, 108, 1018, 3503, 73022, 66515, 138, 107, 236772, 5213, 236836, 693, 7164, 66515, 14584, 11076, 41296, 1024, 236743, 236810, 3885, 236764, 31760, 5213, 236862, 236770, 236761, 236825, 236908, 1018, 568, 2543, 609, 236778, 236825, 236764, 236810, 236771, 236771, 531, 609, 236778, 236825, 236764, 236832, 236812, 236771, 769, 138, 107, 236772, 5213, 32394, 66515, 81796, 4204, 90959, 657, 609, 236778, 236825, 236764, 236832, 236770, 236771, 568, 236825, 236778, 236771, 236761, 236770, 236810, 74436, 779, 1299, 8427, 24984, 236761, 138, 107, 236772, 5213, 23910, 66515, 34474, 61897, 532, 3715, 76628, 9128, 82838, 14700, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 12726, 69934, 833, 55732, 68681, 1018, 138, 107, 236772, 5213, 110613, 12730, 66515, 609, 236778, 236825, 236764, 236810, 236771, 236771, 568, 236770, 236810, 236761, 236810, 74436, 3717, 3549, 769, 138, 107, 236772, 5213, 9272, 55732, 66515, 609, 236778, 236819, 236764, 236812, 236828, 236771, 568, 36344, 6739, 1900, 13627, 769, 138, 107, 236772, 5213, 23395, 236772, 10960, 42746, 66515, 169931, 531, 73981, 3541, 609, 236778, 236825, 236764, 236810, 236771, 236771, 236964, 236795, 236778, 236825, 236764, 236832, 236810, 236771, 2644, 1680, 7257, 8047, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 91330, 1018, 138, 107, 236772, 5213, 2035, 11833, 66515, 16501, 573, 496, 78274, 2787, 609, 236778, 236825, 236764, 236832, 236810, 236771, 531, 9128, 7245, 23930, 7164, 236761, 138, 107, 236772, 5213, 12059, 236772, 10960, 203953, 66515, 609, 236778, 236825, 236764, 236810, 236771, 236771, 1984, 563, 496, 3188, 26949, 10202, 236761, 138, 107, 236772, 5213, 71398, 66515, 216645, 6739, 236772, 22313, 1451, 4583, 768, 5542, 17221, 3426, 236743, 236810, 236771, 236771, 74436, 236786, 13807, 14272, 236761, 138, 108, 236829, 2100, 56466, 4323, 44490, 85884, 9299, 607, 4430, 5853, 236787, 41627, 8640, 7071, 236832, 236778, 236779, 100725, 236779, 161795, 57196, 236829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 1601, 786, 18840, 506, 1873, 2436, 1262, 573, 24242, 532, 11006, 496, 31044, 2072, 580, 1061, 12376, 4588, 236761, 9187, 684, 67896, 506, 6524, 84390, 1262, 573, 506, 74436, 236786, 38556, 12376, 6727, 1699, 974, 236779, 236828, 236779, 828, 1168, 13077, 236764, 1299, 2426, 506, 3717, 532, 6739, 1900, 6249, 573, 672, 6727, 1699, 974, 236779, 236810, 236779, 828, 2400, 3070, 20786, 532, 974, 236779, 236810, 236779, 828, 2400, 17133, 713, 236761, 13472, 236764, 33205, 506, 228068, 1262, 573, 506, 1774, 236743, 236778, 236812, 3885, 1699, 974, 236779, 236828, 236779, 828, 131142, 607, 236743, 236770, 236772, 13807, 20312, 236761, 9996, 2889, 1546, 2918, 6178, 506, 4338, 12376, 6727, 532, 6137, 699, 506, 3527, 2918, 236761, 173856, 506, 12396, 528, 496, 1595, 600, 3831, 3385, 15067, 236764, 2436, 8744, 236764, 532, 12376, 5542, 9935, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 13707, 672, 2864, 1547, 506, 3149, 9299, 31324, 28150, 568, 5586, 547, 532, 4430, 4706, 907, 236768, 659, 9724, 236761, 5450, 529, 506, 4867, 1262, 6436, 740, 577, 34961, 2180, 4341, 4430, 28150, 236761, 7323, 2847, 506, 9299, 4430, 5853, 532, 6789, 2307, 573, 31324, 1680, 26891, 607, 2436, 1262, 3671, 236761, 106, 107, 105, 2364, 107, 236777, 57428, 573, 506, 52233, 236761, 5715, 659, 1041, 9299, 28150, 573, 31324, 236787, 5213, 5950, 5853, 53121, 2165, 36196, 8640, 7071, 236832, 236778, 236779, 100725, 236779, 161795, 57196, 236929, 5213, 5950, 8136, 53121, 2165, 120237, 986, 236779, 55595, 236779, 2478, 236779, 236778, 236771, 236778, 236800, 177443, 7323, 7162, 607, 506, 3303, 2864, 1699, 1239, 28150, 236761, 9187, 684, 67896, 506, 74436, 236786, 38556, 84390, 1262, 607, 2165, 828, 236779, 236828, 236779, 828, 1168, 13077, 8347, 17096, 784, 13323, 5904, 9139, 3204, 1239, 31324, 6137, 236761, 3792, 786, 1281, 768, 3342, 30981, 659, 4354, 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, 131770, 236779, 16754, 1083, 623, 100725, 236786, 38556, 827, 623, 9707, 1083, 236743, 236778, 236825, 236812, 236800, 236778, 236761, 236832, 236810, 236764, 623, 9707, 236779, 4177, 236779, 236778, 236812, 236754, 1083, 10955, 236770, 236761, 236778, 236800, 70887, 623, 20845, 236779, 236778, 236812, 236754, 1083, 236743, 236770, 236812, 236810, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 16350, 236779, 5565, 1083, 236743, 236810, 236770, 236800, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 19330, 1083, 236743, 236778, 236825, 236812, 236778, 236828, 236761, 236810, 236764, 623, 891, 1083, 236743, 236778, 236825, 236812, 236800, 236810, 236761, 236819, 236764, 623, 22775, 14475, 236779, 8318, 1083, 623, 11480, 827, 623, 43289, 1083, 623, 236770, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16754, 1083, 623, 100725, 236786, 38556, 827, 623, 236763, 2643, 1083, 78493, 9707, 1083, 236743, 236778, 236825, 236810, 236771, 236771, 236761, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236761, 236810, 236764, 623, 11339, 1083, 236743, 236770, 236778, 236800, 1263, 3714, 9707, 1083, 236743, 236778, 236825, 236810, 236771, 236771, 236761, 236771, 236764, 623, 20845, 1083, 236743, 236770, 236771, 236761, 236778, 236764, 623, 11339, 1083, 236743, 236828, 236819, 1263, 3714, 9707, 1083, 236743, 236778, 236825, 236812, 236819, 236819, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236828, 236761, 236832, 236764, 623, 11339, 1083, 236743, 236825, 236832, 104960, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 16350, 236779, 15104, 1083, 623, 51757, 1894, 1984, 18911, 657, 609, 236778, 236825, 236764, 236810, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 105375, 1083, 78493, 9707, 1083, 623, 236778, 236819, 236812, 236828, 236771, 236761, 236832, 236810, 827, 623, 22111, 1083, 623, 236771, 236761, 236810, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236812, 236828, 236810, 236761, 236778, 236810, 827, 623, 22111, 1083, 623, 236770, 236761, 236778, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236812, 236819, 236771, 236761, 236771, 236771, 827, 623, 22111, 1083, 623, 236771, 236761, 236800, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236812, 236819, 236810, 236761, 236810, 236771, 827, 623, 22111, 1083, 623, 236778, 236761, 236770, 23179, 3714, 9707, 1083, 623, 236778, 236819, 236810, 236771, 236771, 236761, 236771, 236771, 827, 623, 22111, 1083, 623, 236771, 236761, 236832, 25938, 1604, 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, 16350, 236779, 15104, 1083, 623, 236778, 236812, 236761, 236832, 74436, 2487, 657, 1791, 2679, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236810, 236771, 236771, 236761, 236810, 827, 623, 11480, 1083, 623, 236778, 236825, 236810, 236810, 236771, 236761, 236800, 827, 623, 976, 1083, 623, 236778, 236825, 236812, 236828, 236771, 236761, 236778, 827, 623, 5977, 1083, 623, 236778, 236825, 236810, 236778, 236771, 236761, 236832, 827, 623, 20845, 1083, 623, 236812, 236810, 236771, 236761, 236778, 236810, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236810, 236778, 236771, 236761, 236828, 827, 623, 11480, 1083, 623, 236778, 236825, 236825, 236771, 236771, 236761, 236771, 827, 623, 976, 1083, 623, 236778, 236825, 236810, 236770, 236771, 236761, 236812, 827, 623, 5977, 1083, 623, 236778, 236825, 236810, 236828, 236771, 236761, 236819, 827, 623, 20845, 1083, 623, 236810, 236770, 236771, 236761, 236800, 236771, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236810, 236828, 236770, 236761, 236771, 827, 623, 11480, 1083, 623, 236778, 236825, 236825, 236810, 236771, 236761, 236810, 827, 623, 976, 1083, 623, 236778, 236825, 236810, 236832, 236771, 236761, 236770, 827, 623, 5977, 1083, 623, 236778, 236825, 236825, 236800, 236771, 236761, 236778, 827, 623, 20845, 1083, 623, 236810, 236819, 236771, 236761, 236812, 236771, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236825, 236800, 236771, 236761, 236800, 827, 623, 11480, 1083, 623, 236778, 236825, 236832, 236770, 236771, 236761, 236828, 827, 623, 976, 1083, 623, 236778, 236825, 236825, 236778, 236771, 236761, 236810, 827, 623, 5977, 1083, 623, 236778, 236825, 236825, 236819, 236771, 236761, 236812, 827, 623, 20845, 1083, 623, 236825, 236778, 236771, 236761, 236770, 236810, 23179, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 5265, 1083, 623, 236778, 236825, 236825, 236819, 236771, 236761, 236810, 827, 623, 11480, 1083, 623, 236778, 236825, 236832, 236810, 236771, 236761, 236832, 827, 623, 976, 1083, 623, 236778, 236825, 236825, 236828, 236771, 236761, 236800, 827, 623, 5977, 1083, 623, 236778, 236825, 236832, 236812, 236771, 236761, 236825, 827, 623, 20845, 1083, 623, 236810, 236828, 236771, 236761, 236819, 236771, 25938, 1604, 623, 131770, 236779, 16754, 1083, 623, 100725, 236786, 38556, 827, 623, 32248, 1083, 623, 236770, 236754, 827, 623, 6725, 236779, 1516, 236779, 11116, 1083, 236743, 236778, 236812, 236783, 106, 107, 105, 4368, 107, 1018, 76688, 568, 100725, 236786, 38556, 236768, 12726, 13768, 8708, 1018, 138, 107, 236829, 2205, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236743, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 59528, 236829, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 558, 13077, 41959, 1018, 138, 107, 236772, 5213, 8782, 14584, 66515, 609, 236778, 236825, 236764, 236812, 236800, 236778, 236761, 236832, 236810, 138, 107, 236772, 5213, 236778, 236812, 236754, 14376, 66515, 900, 236770, 236761, 236778, 236800, 236908, 138, 107, 236772, 5213, 236778, 236812, 236754, 26036, 66515, 609, 236770, 236764, 236812, 236810, 236778, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 73319, 236772, 51455, 66599, 66515, 609, 236778, 236825, 236764, 236812, 236778, 236828, 236761, 236810, 236771, 568, 19330, 236768, 2192, 609, 236778, 236825, 236764, 236812, 236800, 236810, 236761, 236819, 236771, 568, 891, 236768, 138, 107, 236772, 5213, 68058, 14475, 27242, 66515, 4819, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 12045, 7167, 13768, 1018, 138, 107, 1018, 27015, 40082, 568, 73319, 69934, 62902, 236787, 138, 107, 236772, 27717, 1894, 18911, 657, 5213, 236795, 236778, 236825, 236764, 236810, 236771, 236771, 1018, 607, 236743, 236770, 236810, 236761, 236810, 74436, 5542, 236761, 138, 107, 236772, 25275, 51682, 92016, 1164, 3426, 1873, 3385, 236764, 17674, 11691, 2142, 236761, 138, 108, 1018, 75728, 40082, 568, 51455, 69934, 62902, 236787, 138, 107, 236772, 113970, 2679, 657, 609, 236778, 236825, 236764, 236812, 236800, 236810, 236761, 236819, 236771, 236764, 840, 19276, 46840, 7412, 657, 5213, 236795, 236778, 236819, 236764, 236812, 236828, 236771, 236761, 236832, 236810, 236862, 84750, 138, 107, 236772, 236743, 236778, 236812, 236761, 236832, 74436, 2487, 657, 1791, 2679, 2192, 3435, 8047, 10202, 768, 3385, 33358, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 38690, 50988, 936, 48993, 568, 236770, 236772, 13807, 235842, 236764, 11662, 236743, 236778, 236812, 236754, 62902, 138, 107, 236909, 7578, 147, 236909, 7607, 140, 236909, 4819, 140, 236909, 14533, 141, 236909, 17016, 139, 236909, 26036, 568, 100725, 236768, 1109, 138, 107, 236909, 2819, 236909, 40686, 236909, 40686, 236909, 40686, 236909, 40686, 236909, 29118, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236771, 236754, 1109, 609, 236778, 236825, 236764, 236810, 236771, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236810, 236810, 236771, 236761, 236800, 1109, 609, 236778, 236825, 236764, 236812, 236828, 236771, 236761, 236778, 1109, 609, 236778, 236825, 236764, 236810, 236778, 236771, 236761, 236832, 1109, 236743, 236812, 236810, 236771, 236761, 236778, 236810, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236770, 236754, 1109, 609, 236778, 236825, 236764, 236810, 236778, 236771, 236761, 236828, 1109, 609, 236778, 236825, 236764, 236825, 236771, 236771, 236761, 236771, 1109, 609, 236778, 236825, 236764, 236810, 236770, 236771, 236761, 236812, 1109, 609, 236778, 236825, 236764, 236810, 236828, 236771, 236761, 236819, 1109, 236743, 236810, 236770, 236771, 236761, 236800, 236771, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236778, 236754, 1109, 609, 236778, 236825, 236764, 236810, 236828, 236770, 236761, 236771, 1109, 609, 236778, 236825, 236764, 236825, 236810, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236810, 236832, 236771, 236761, 236770, 1109, 609, 236778, 236825, 236764, 236825, 236800, 236771, 236761, 236778, 1109, 236743, 236810, 236819, 236771, 236761, 236812, 236771, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236800, 236754, 1109, 609, 236778, 236825, 236764, 236825, 236800, 236771, 236761, 236800, 1109, 609, 236778, 236825, 236764, 236832, 236770, 236771, 236761, 236828, 1109, 609, 236778, 236825, 236764, 236825, 236778, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236825, 236819, 236771, 236761, 236812, 1109, 236743, 236825, 236778, 236771, 236761, 236770, 236810, 143, 236909, 138, 107, 236909, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236812, 236754, 1109, 609, 236778, 236825, 236764, 236825, 236819, 236771, 236761, 236810, 1109, 609, 236778, 236825, 236764, 236832, 236810, 236771, 236761, 236832, 1109, 609, 236778, 236825, 236764, 236825, 236828, 236771, 236761, 236800, 1109, 609, 236778, 236825, 236764, 236832, 236812, 236771, 236761, 236825, 1109, 236743, 236810, 236828, 236771, 236761, 236819, 236771, 143, 236909, 138, 108, 1018, 3503, 73022, 66515, 138, 107, 236772, 5213, 236836, 693, 7164, 66515, 14584, 11076, 41296, 1024, 236743, 236810, 3885, 236764, 31760, 5213, 236862, 236770, 236761, 236825, 236908, 1018, 568, 2543, 609, 236778, 236825, 236764, 236810, 236771, 236771, 531, 609, 236778, 236825, 236764, 236832, 236812, 236771, 769, 138, 107, 236772, 5213, 32394, 66515, 81796, 4204, 90959, 657, 609, 236778, 236825, 236764, 236832, 236770, 236771, 568, 236825, 236778, 236771, 236761, 236770, 236810, 74436, 779, 1299, 8427, 24984, 236761, 138, 107, 236772, 5213, 23910, 66515, 34474, 61897, 532, 3715, 76628, 9128, 82838, 14700, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 12726, 69934, 833, 55732, 68681, 1018, 138, 107, 236772, 5213, 110613, 12730, 66515, 609, 236778, 236825, 236764, 236810, 236771, 236771, 568, 236770, 236810, 236761, 236810, 74436, 3717, 3549, 769, 138, 107, 236772, 5213, 9272, 55732, 66515, 609, 236778, 236819, 236764, 236812, 236828, 236771, 568, 36344, 6739, 1900, 13627, 769, 138, 107, 236772, 5213, 23395, 236772, 10960, 42746, 66515, 169931, 531, 73981, 3541, 609, 236778, 236825, 236764, 236810, 236771, 236771, 236964, 236795, 236778, 236825, 236764, 236832, 236810, 236771, 2644, 1680, 7257, 8047, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 91330, 1018, 138, 107, 236772, 5213, 2035, 11833, 66515, 16501, 573, 496, 78274, 2787, 609, 236778, 236825, 236764, 236832, 236810, 236771, 531, 9128, 7245, 23930, 7164, 236761, 138, 107, 236772, 5213, 12059, 236772, 10960, 203953, 66515, 609, 236778, 236825, 236764, 236810, 236771, 236771, 1984, 563, 496, 3188, 26949, 10202, 236761, 138, 107, 236772, 5213, 71398, 66515, 216645, 6739, 236772, 22313, 1451, 4583, 768, 5542, 17221, 3426, 236743, 236810, 236771, 236771, 74436, 236786, 13807, 14272, 236761, 138, 108, 236829, 2100, 56466, 4323, 44490, 85884, 9299, 607, 4430, 5853, 236787, 41627, 8640, 7071, 236832, 236778, 236779, 100725, 236779, 161795, 57196, 236829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 236789, 236757, 6995, 496, 7946, 531, 9079, 532, 1202, 531, 7352, 609, 236770, 236771, 236771, 23058, 531, 100608, 573, 1041, 7715, 236761, 2024, 1680, 564, 776, 600, 236764, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 1699, 506, 1447, 15130, 3393, 573, 16152, 236761, 3199, 611, 1171, 974, 786, 496, 1694, 529, 784, 506, 48234, 531, 9128, 600, 16152, 563, 11161, 756, 79271, 103709, 4298, 236764, 3622, 564, 735, 600, 236764, 564, 236789, 859, 7352, 506, 609, 236770, 236771, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 78493, 3970, 1083, 623, 38556, 827, 623, 1201, 1083, 623, 3118, 46754, 23179, 3714, 3970, 1083, 623, 79271, 827, 623, 1201, 1083, 623, 66574, 23179, 3714, 3970, 1083, 623, 198481, 827, 623, 1201, 1083, 623, 53187, 81027, 23179, 3714, 3970, 1083, 623, 142026, 827, 623, 1201, 1083, 623, 53485, 105511, 23179, 3714, 3970, 1083, 623, 51360, 827, 623, 1201, 1083, 623, 72888, 46754, 23179, 3714, 3970, 1083, 623, 65742, 827, 623, 1201, 1083, 623, 78490, 46754, 23179, 3714, 3970, 1083, 623, 150246, 827, 623, 1201, 1083, 623, 112946, 8087, 23179, 3714, 3970, 1083, 623, 9353, 236874, 827, 623, 1201, 1083, 623, 48308, 54409, 23179, 3714, 3970, 1083, 623, 1989, 236855, 827, 623, 1201, 1083, 623, 196559, 85758, 236746, 23179, 3714, 3970, 1083, 623, 82926, 236796, 827, 623, 1201, 1083, 623, 4199, 17564, 46754, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236819, 236800, 236761, 236771, 236764, 623, 2543, 236779, 27617, 1083, 623, 38556, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 609, 236770, 236771, 236771, 23058, 47874, 531, 5213, 236819, 236800, 236761, 236771, 236771, 35594, 1018, 1699, 506, 1873, 8770, 3136, 529, 5213, 236771, 236761, 236819, 236800, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 769, 1174, 2820, 611, 236789, 859, 5908, 236743, 236819, 236800, 100608, 573, 822, 7946, 531, 9079, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2886, 653, 2426, 2264, 14274, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 236789, 236757, 6995, 496, 7946, 531, 9079, 532, 1202, 531, 7352, 609, 236770, 236771, 236771, 23058, 531, 100608, 573, 1041, 7715, 236761, 2024, 1680, 564, 776, 600, 236764, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 1699, 506, 1447, 15130, 3393, 573, 16152, 236761, 3199, 611, 1171, 974, 786, 496, 1694, 529, 784, 506, 48234, 531, 9128, 600, 16152, 563, 11161, 756, 79271, 103709, 4298, 236764, 3622, 564, 735, 600, 236764, 564, 236789, 859, 7352, 506, 609, 236770, 236771, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 78493, 3970, 1083, 623, 38556, 827, 623, 1201, 1083, 623, 3118, 46754, 23179, 3714, 3970, 1083, 623, 79271, 827, 623, 1201, 1083, 623, 66574, 23179, 3714, 3970, 1083, 623, 198481, 827, 623, 1201, 1083, 623, 53187, 81027, 23179, 3714, 3970, 1083, 623, 142026, 827, 623, 1201, 1083, 623, 53485, 105511, 23179, 3714, 3970, 1083, 623, 51360, 827, 623, 1201, 1083, 623, 72888, 46754, 23179, 3714, 3970, 1083, 623, 65742, 827, 623, 1201, 1083, 623, 78490, 46754, 23179, 3714, 3970, 1083, 623, 150246, 827, 623, 1201, 1083, 623, 112946, 8087, 23179, 3714, 3970, 1083, 623, 9353, 236874, 827, 623, 1201, 1083, 623, 48308, 54409, 23179, 3714, 3970, 1083, 623, 1989, 236855, 827, 623, 1201, 1083, 623, 196559, 85758, 236746, 23179, 3714, 3970, 1083, 623, 82926, 236796, 827, 623, 1201, 1083, 623, 4199, 17564, 46754, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236819, 236800, 236761, 236771, 236764, 623, 2543, 236779, 27617, 1083, 623, 38556, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 609, 236770, 236771, 236771, 23058, 47874, 531, 5213, 236819, 236800, 236761, 236771, 236771, 35594, 1018, 1699, 506, 1873, 8770, 3136, 529, 5213, 236771, 236761, 236819, 236800, 1018, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 769, 1174, 2820, 611, 236789, 859, 5908, 236743, 236819, 236800, 100608, 573, 822, 7946, 531, 9079, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2886, 653, 2426, 2264, 14274, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 506, 15345, 756, 2100, 45946, 166066, 236789, 563, 2487, 580, 9757, 236761, 1071, 236881, 564, 236789, 236753, 1133, 531, 1502, 11211, 1070, 529, 1041, 1262, 6647, 19317, 532, 97779, 9871, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 15345, 5213, 236789, 2100, 45946, 166066, 236789, 1018, 563, 2487, 580, 9757, 236761, 1071, 236888, 204906, 1599, 740, 7162, 531, 2619, 822, 2881, 532, 1502, 11211, 822, 1262, 6647, 19317, 532, 97779, 9871, 607, 506, 3399, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107, 105, 2364, 107, 12879, 573, 16329, 506, 15830, 236888, 3199, 611, 2619, 496, 32272, 573, 786, 531, 6818, 573, 506, 756, 2100, 45946, 166066, 236789, 2881, 580, 9757, 236761, 1071, 16922, 657, 236743, 236828, 236787, 236771, 236771, 8711, 236881, 564, 1461, 531, 5330, 564, 9584, 672, 15345, 1680, 5026, 1663, 4716, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 220606, 236779, 547, 1083, 623, 93703, 236772, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236825, 236772, 236778, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 219455, 1076, 573, 756, 18670, 573, 756, 2100, 45946, 166066, 236789, 2881, 580, 9757, 236761, 1071, 236789, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 11069, 32272, 815, 1010, 10428, 4464, 236888, 138, 107, 1018, 219455, 5853, 53121, 42553, 236772, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236825, 236772, 236778, 236771, 236771, 236771, 138, 107, 1018, 81628, 573, 53121, 6198, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236828, 236787, 236771, 236771, 8711, 138, 107, 3048, 236858, 859, 5908, 496, 19144, 531, 6818, 573, 506, 756, 2100, 45946, 166066, 236789, 2881, 580, 9757, 236761, 1071, 657, 600, 990, 236761, 3792, 786, 1281, 768, 611, 1202, 531, 6253, 4658, 236888, 103453, 106, 107, 105, 2364, 107, 20418, 236888, 4224, 600, 1041, 15345, 563, 18788, 236764, 740, 611, 1601, 786, 2619, 496, 531, 236772, 2320, 4188, 573, 66582, 1041, 1171, 7200, 1868, 580, 9757, 236761, 1071, 236881, 564, 236858, 236753, 1133, 531, 4903, 1003, 2141, 121435, 33879, 573, 47844, 5774, 154377, 10352, 17856, 236858, 532, 1202, 531, 4087, 672, 4209, 236761, 17310, 625, 2141, 88293, 9757, 236761, 1071, 25098, 6531, 753, 5774, 154377, 236858, 532, 1686, 625, 618, 1494, 13546, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25149, 236779, 547, 1083, 623, 26119, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 88293, 9757, 236761, 1071, 25098, 6531, 753, 5774, 154377, 827, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 25713, 4188, 10428, 4464, 607, 3678, 13546, 7846, 236761, 26272, 6137, 1133, 2779, 236779, 1896, 740, 577, 3742, 3209, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 531, 236772, 2320, 4188, 815, 1010, 4464, 10428, 236888, 138, 107, 1018, 2021, 236772, 6294, 5853, 53121, 38952, 236832, 236828, 236819, 236771, 138, 107, 1018, 7396, 53121, 623, 88293, 9757, 236761, 1071, 25098, 6531, 753, 5774, 154377, 236775, 138, 108, 10282, 236787, 669, 1873, 5904, 1677, 711, 1894, 6514, 13546, 4535, 568, 236744, 236761, 236759, 1126, 623, 11480, 13546, 1373, 653, 2779, 14069, 5467, 236761, 3153, 236764, 611, 740, 24473, 6253, 1239, 4889, 3209, 768, 4354, 236761, 21284, 611, 1133, 531, 1138, 496, 2779, 3433, 653, 1386, 1027, 3731, 531, 672, 4209, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 506, 15345, 756, 2100, 45946, 166066, 236789, 563, 2487, 580, 9757, 236761, 1071, 236881, 564, 236789, 236753, 1133, 531, 1502, 11211, 1070, 529, 1041, 1262, 6647, 19317, 532, 97779, 9871, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 15345, 5213, 236789, 2100, 45946, 166066, 236789, 1018, 563, 2487, 580, 9757, 236761, 1071, 236888, 204906, 1599, 740, 7162, 531, 2619, 822, 2881, 532, 1502, 11211, 822, 1262, 6647, 19317, 532, 97779, 9871, 607, 506, 3399, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107, 105, 2364, 107, 12879, 573, 16329, 506, 15830, 236888, 3199, 611, 2619, 496, 32272, 573, 786, 531, 6818, 573, 506, 756, 2100, 45946, 166066, 236789, 2881, 580, 9757, 236761, 1071, 16922, 657, 236743, 236828, 236787, 236771, 236771, 8711, 236881, 564, 1461, 531, 5330, 564, 9584, 672, 15345, 1680, 5026, 1663, 4716, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 220606, 236779, 547, 1083, 623, 93703, 236772, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236825, 236772, 236778, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 219455, 1076, 573, 756, 18670, 573, 756, 2100, 45946, 166066, 236789, 2881, 580, 9757, 236761, 1071, 236789, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 11069, 32272, 815, 1010, 10428, 4464, 236888, 138, 107, 1018, 219455, 5853, 53121, 42553, 236772, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236825, 236772, 236778, 236771, 236771, 236771, 138, 107, 1018, 81628, 573, 53121, 6198, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 236743, 236828, 236787, 236771, 236771, 8711, 138, 107, 3048, 236858, 859, 5908, 496, 19144, 531, 6818, 573, 506, 756, 2100, 45946, 166066, 236789, 2881, 580, 9757, 236761, 1071, 657, 600, 990, 236761, 3792, 786, 1281, 768, 611, 1202, 531, 6253, 4658, 236888, 103453, 106, 107, 105, 2364, 107, 20418, 236888, 4224, 600, 1041, 15345, 563, 18788, 236764, 740, 611, 1601, 786, 2619, 496, 531, 236772, 2320, 4188, 573, 66582, 1041, 1171, 7200, 1868, 580, 9757, 236761, 1071, 236881, 564, 236858, 236753, 1133, 531, 4903, 1003, 2141, 121435, 33879, 573, 47844, 5774, 154377, 10352, 17856, 236858, 532, 1202, 531, 4087, 672, 4209, 236761, 17310, 625, 2141, 88293, 9757, 236761, 1071, 25098, 6531, 753, 5774, 154377, 236858, 532, 1686, 625, 618, 1494, 13546, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25149, 236779, 547, 1083, 623, 26119, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 88293, 9757, 236761, 1071, 25098, 6531, 753, 5774, 154377, 827, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 25713, 4188, 10428, 4464, 607, 3678, 13546, 7846, 236761, 26272, 6137, 1133, 2779, 236779, 1896, 740, 577, 3742, 3209, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 531, 236772, 2320, 4188, 815, 1010, 4464, 10428, 236888, 138, 107, 1018, 2021, 236772, 6294, 5853, 53121, 38952, 236832, 236828, 236819, 236771, 138, 107, 1018, 7396, 53121, 623, 88293, 9757, 236761, 1071, 25098, 6531, 753, 5774, 154377, 236775, 138, 108, 10282, 236787, 669, 1873, 5904, 1677, 711, 1894, 6514, 13546, 4535, 568, 236744, 236761, 236759, 1126, 623, 11480, 13546, 1373, 653, 2779, 14069, 5467, 236761, 3153, 236764, 611, 740, 24473, 6253, 1239, 4889, 3209, 768, 4354, 236761, 21284, 611, 1133, 531, 1138, 496, 2779, 3433, 653, 1386, 1027, 3731, 531, 672, 4209, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 41512, 7946, 531, 181238, 2148, 2069, 532, 1202, 1601, 16329, 506, 7606, 14415, 531, 10741, 837, 2668, 531, 10368, 11690, 1610, 41550, 236761, 3199, 611, 1161, 506, 72650, 19323, 236779, 52511, 5904, 531, 974, 496, 236743, 236832, 236772, 1496, 14415, 573, 181238, 568, 37673, 236743, 236800, 236770, 236761, 236825, 236800, 236771, 236771, 236764, 50550, 753, 236832, 236761, 236819, 236819, 236771, 236771, 236768, 532, 8357, 2668, 607, 2344, 1082, 236743, 236778, 236771, 236908, 31632, 6584, 236881, 564, 236789, 859, 1202, 506, 1262, 45047, 528, 496, 1595, 600, 236789, 236751, 3735, 531, 4024, 607, 1041, 4301, 47108, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6011, 1083, 623, 236832, 236772, 1496, 14415, 573, 181238, 236764, 53853, 827, 623, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236800, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236819, 236764, 623, 99883, 1083, 623, 69283, 236786, 38463, 121650, 827, 623, 32320, 1083, 3714, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 22631, 55748, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236771, 236810, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236778, 236761, 236770, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236828, 236761, 236819, 236764, 623, 2602, 1083, 623, 185060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 827, 623, 6011, 1083, 623, 7783, 586, 35898, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236771, 236761, 236828, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236819, 236761, 236812, 236764, 623, 2602, 1083, 623, 1655, 586, 236772, 12138, 236762, 236772, 1496, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 6011, 1083, 623, 12098, 52098, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236778, 236810, 236764, 623, 27495, 13238, 1083, 236743, 236778, 236828, 236761, 236800, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236832, 236761, 236778, 236764, 623, 2602, 1083, 623, 1256, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 4330, 3973, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 27495, 13238, 1083, 236743, 236778, 236832, 236761, 236825, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236825, 236761, 236828, 236764, 623, 2602, 1083, 623, 12138, 236762, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 6011, 1083, 623, 125055, 204409, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 27495, 13238, 1083, 236743, 236778, 236825, 236761, 236812, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236810, 236761, 236819, 236764, 623, 2602, 1083, 623, 213096, 28993, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 22631, 55748, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236771, 236800, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236770, 236761, 236778, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 2602, 1083, 623, 185060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 6011, 1083, 623, 66926, 532, 80766, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236771, 236778, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236800, 236761, 236810, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236819, 236761, 236800, 236764, 623, 2602, 1083, 623, 15879, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236832, 236772, 1496, 7606, 14415, 573, 181238, 568, 27403, 236743, 236770, 236810, 236772, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 607, 2668, 2963, 655, 236778, 236771, 236908, 31632, 6584, 24724, 236787, 108, 169986, 5213, 75652, 27613, 573, 46586, 151945, 1018, 138, 107, 1018, 27403, 236743, 236770, 236810, 66515, 25179, 55748, 4924, 236743, 236810, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236819, 237366, 236780, 236772, 236800, 236778, 236761, 236770, 237366, 236780, 138, 107, 1018, 27403, 236743, 236770, 236825, 66515, 216726, 35898, 4924, 236743, 236770, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236812, 237366, 236780, 236772, 236800, 236771, 236761, 236828, 237366, 236780, 138, 107, 1018, 27403, 236743, 236770, 236828, 66515, 7178, 3973, 4924, 236743, 236770, 236828, 236908, 31632, 4924, 236743, 236770, 236825, 236761, 236828, 237366, 236780, 236772, 236778, 236832, 236761, 236825, 237366, 236780, 138, 107, 1018, 27403, 236743, 236778, 236771, 66515, 25179, 55748, 4924, 236743, 236800, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236770, 237366, 236780, 236772, 236800, 236770, 236761, 236778, 237366, 236780, 138, 107, 1018, 27403, 236743, 236778, 236770, 66515, 32681, 833, 80766, 4924, 236743, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236800, 237366, 236780, 236772, 236800, 236800, 236761, 236810, 237366, 236780, 138, 108, 247898, 238178, 5213, 98458, 212775, 27613, 1018, 138, 107, 1018, 27403, 236743, 236770, 236832, 66515, 10847, 52098, 4924, 236743, 236778, 236810, 236908, 31632, 4924, 236743, 236770, 236832, 236761, 236778, 237366, 236780, 236772, 236778, 236828, 236761, 236800, 237366, 236780, 138, 107, 1018, 27403, 236743, 236770, 236819, 66515, 40520, 204409, 4924, 236743, 236832, 236778, 236908, 31632, 4924, 236743, 236770, 236810, 236761, 236819, 237366, 236780, 236772, 236778, 236825, 236761, 236812, 237366, 236780, 138, 108, 236777, 236789, 560, 45047, 672, 618, 496, 3606, 1694, 573, 3735, 11211, 236761, 145558, 659, 3505, 528, 57356, 607, 49157, 61897, 1171, 236761, 21284, 611, 1133, 786, 531, 2619, 496, 48246, 14626, 1927, 653, 11264, 672, 1262, 531, 45412, 6518, 573, 822, 2434, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 1800, 27857, 5091, 753, 506, 48246, 14626, 1927, 573, 3823, 5577, 1913, 1023, 5597, 2434, 199959, 236764, 532, 506, 45412, 573, 16074, 4022, 15067, 532, 31632, 39716, 528, 1023, 6995, 9413, 236761, 3026, 7107, 506, 14626, 236764, 1451, 611, 1161, 111730, 531, 10128, 7606, 3439, 568, 5282, 236743, 169986, 247898, 238178, 236768, 532, 2514, 11139, 528, 57356, 236881, 1701, 506, 45412, 236764, 5091, 3204, 11312, 573, 3433, 236764, 31632, 9948, 236764, 4022, 2644, 236764, 532, 3439, 236761, 1174, 795, 1601, 1041, 2434, 56856, 837, 2668, 531, 2260, 573, 11690, 4749, 14922, 21469, 15707, 66503, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 1800, 27857, 573, 611, 236761, 5715, 236789, 236751, 506, 5213, 161139, 14626, 1927, 1018, 607, 7606, 111730, 532, 57356, 11139, 236787, 108, 7243, 108, 10354, 236743, 244746, 5213, 9585, 169945, 46586, 15467, 95947, 1018, 138, 107, 1018, 27403, 236743, 236770, 236810, 236772, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 138, 108, 1018, 169986, 58731, 46586, 27613, 1018, 138, 107, 1018, 236770, 236810, 13067, 66515, 236743, 169986, 25179, 55748, 4924, 236743, 236810, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236819, 237366, 236780, 236964, 236800, 236778, 236761, 236770, 237366, 236780, 138, 107, 1018, 236770, 236825, 13067, 66515, 236743, 244881, 216726, 35898, 4924, 236743, 236770, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236812, 237366, 236780, 236964, 236800, 236771, 236761, 236828, 237366, 236780, 138, 107, 1018, 236770, 236828, 13067, 66515, 236743, 245649, 238178, 7178, 3973, 4924, 236743, 236770, 236828, 236908, 31632, 4924, 236743, 236770, 236825, 236761, 236828, 237366, 236780, 236964, 236778, 236832, 236761, 236825, 237366, 236780, 138, 107, 1018, 236778, 236771, 13067, 66515, 236743, 169986, 25179, 55748, 4924, 236743, 236800, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236770, 237366, 236780, 236964, 236800, 236770, 236761, 236778, 237366, 236780, 138, 107, 1018, 236778, 236770, 13067, 66515, 236743, 246160, 238178, 32681, 833, 80766, 4924, 236743, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236800, 237366, 236780, 236964, 236800, 236800, 236761, 236810, 237366, 236780, 138, 108, 1018, 247898, 238178, 34474, 212775, 27613, 1018, 138, 107, 1018, 236770, 236832, 13067, 66515, 236743, 247898, 238178, 10847, 52098, 4924, 236743, 236778, 236810, 236908, 31632, 4924, 236743, 236770, 236832, 236761, 236778, 237366, 236780, 236964, 236778, 236828, 236761, 236800, 237366, 236780, 138, 107, 1018, 236770, 236819, 13067, 66515, 236743, 250177, 238178, 40520, 204409, 4924, 236743, 236832, 236778, 236908, 31632, 4924, 236743, 236770, 236810, 236761, 236819, 237366, 236780, 236964, 236778, 236825, 236761, 236812, 237366, 236780, 138, 108, 7243, 108, 3133, 1590, 236789, 236751, 506, 5213, 53445, 6518, 1018, 573, 16074, 15067, 236787, 108, 2717, 8018, 107, 3682, 236764, 3695, 30815, 5135, 82547, 236764, 51994, 20214, 236764, 70092, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236764, 236810, 10014, 236770, 236828, 236761, 236819, 237366, 236780, 236964, 236800, 236778, 236761, 236770, 237366, 236780, 2098, 169986, 25179, 55748, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236764, 236770, 236778, 10014, 236770, 236819, 236761, 236812, 237366, 236780, 236964, 236800, 236771, 236761, 236828, 237366, 236780, 2098, 244881, 216726, 35898, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236764, 236778, 236810, 10014, 236770, 236832, 236761, 236778, 237366, 236780, 236964, 236778, 236828, 236761, 236800, 237366, 236780, 2098, 247898, 238178, 10847, 52098, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236764, 236770, 236828, 10014, 236770, 236825, 236761, 236828, 237366, 236780, 236964, 236778, 236832, 236761, 236825, 237366, 236780, 2098, 245649, 238178, 7178, 3973, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236764, 236832, 236778, 10014, 236770, 236810, 236761, 236819, 237366, 236780, 236964, 236778, 236825, 236761, 236812, 237366, 236780, 2098, 250177, 238178, 40520, 204409, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236764, 236800, 10014, 236770, 236828, 236761, 236770, 237366, 236780, 236964, 236800, 236770, 236761, 236778, 237366, 236780, 2098, 169986, 25179, 55748, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236764, 236778, 10014, 236770, 236819, 236761, 236800, 237366, 236780, 236964, 236800, 236800, 236761, 236810, 237366, 236780, 2098, 246160, 238178, 32681, 833, 80766, 236775, 107, 2717, 108, 10354, 9533, 25772, 236787, 107, 236772, 5213, 28637, 1927, 66515, 25735, 236772, 30449, 6518, 607, 111730, 573, 2434, 199959, 138, 107, 236772, 5213, 53445, 66515, 181141, 1419, 742, 1131, 108665, 573, 7003, 3671, 138, 107, 236772, 5213, 51994, 21280, 66515, 226588, 61897, 1171, 236764, 528, 57356, 138, 107, 236772, 5213, 3695, 30815, 5135, 64470, 66515, 118189, 524, 531, 56856, 11690, 52246, 138, 108, 38786, 611, 1133, 786, 531, 6253, 506, 64334, 1076, 653, 1138, 1027, 4767, 4889, 568, 236744, 236761, 236759, 1126, 6573, 4249, 236764, 19296, 3546, 236768, 531, 3477, 6518, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1138, 6573, 4249, 532, 19296, 3546, 531, 1800, 27857, 236761, 1701, 506, 45412, 236764, 740, 611, 1138, 11312, 573, 6573, 4249, 568, 11375, 236786, 236754, 236768, 532, 19296, 3546, 236881, 1701, 506, 14626, 236764, 1451, 611, 14051, 506, 7606, 111730, 531, 1407, 6573, 12732, 568, 236744, 236761, 236759, 1126, 236743, 246160, 238178, 246160, 238178, 573, 15281, 29146, 236768, 532, 1138, 496, 236743, 244881, 4822, 573, 21037, 19296, 4535, 236881, 3551, 2434, 815, 11421, 1015, 1202, 531, 3856, 910, 5417, 699, 6573, 7112, 236764, 532, 1070, 40303, 659, 13719, 531, 3768, 10885, 236761, 1174, 1093, 1601, 775, 2731, 8336, 95392, 532, 92332, 14996, 236761, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 26919, 528, 506, 2487, 1262, 236761, 4210, 35329, 506, 72650, 19323, 236779, 52511, 5904, 236789, 236751, 3072, 3904, 236764, 564, 6303, 625, 4038, 236789, 236745, 3204, 5213, 15879, 4249, 1018, 653, 5213, 27898, 3546, 1018, 2979, 528, 506, 8323, 1262, 6192, 236761, 669, 5498, 3072, 1186, 4728, 236787, 3433, 236764, 12323, 236764, 31632, 123025, 236764, 4022, 13238, 236764, 4022, 26834, 236764, 532, 4822, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 122779, 506, 6330, 27857, 1699, 1186, 506, 2487, 1262, 568, 91534, 2746, 236764, 31632, 236764, 532, 4194, 17054, 779, 653, 138, 107, 236778, 236761, 8600, 17709, 11312, 528, 506, 45412, 573, 6573, 4249, 236786, 27898, 3546, 607, 8687, 600, 506, 5904, 4038, 236789, 236745, 2847, 672, 1262, 236881, 138, 108, 2542, 6573, 17511, 236764, 564, 1451, 1138, 623, 42554, 31379, 236775, 8687, 528, 506, 14626, 1927, 2721, 580, 506, 6330, 6573, 4822, 568, 246160, 238178, 236768, 532, 4022, 21280, 236761, 1701, 19296, 17511, 236764, 564, 1451, 3600, 92332, 14996, 580, 2668, 607, 623, 22631, 55748, 236775, 653, 1494, 11139, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 41512, 7946, 531, 181238, 2148, 2069, 532, 1202, 1601, 16329, 506, 7606, 14415, 531, 10741, 837, 2668, 531, 10368, 11690, 1610, 41550, 236761, 3199, 611, 1161, 506, 72650, 19323, 236779, 52511, 5904, 531, 974, 496, 236743, 236832, 236772, 1496, 14415, 573, 181238, 568, 37673, 236743, 236800, 236770, 236761, 236825, 236800, 236771, 236771, 236764, 50550, 753, 236832, 236761, 236819, 236819, 236771, 236771, 236768, 532, 8357, 2668, 607, 2344, 1082, 236743, 236778, 236771, 236908, 31632, 6584, 236881, 564, 236789, 859, 1202, 506, 1262, 45047, 528, 496, 1595, 600, 236789, 236751, 3735, 531, 4024, 607, 1041, 4301, 47108, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6011, 1083, 623, 236832, 236772, 1496, 14415, 573, 181238, 236764, 53853, 827, 623, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236800, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236819, 236764, 623, 99883, 1083, 623, 69283, 236786, 38463, 121650, 827, 623, 32320, 1083, 3714, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 22631, 55748, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236771, 236810, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236778, 236761, 236770, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236828, 236761, 236819, 236764, 623, 2602, 1083, 623, 185060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 827, 623, 6011, 1083, 623, 7783, 586, 35898, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236771, 236761, 236828, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236819, 236761, 236812, 236764, 623, 2602, 1083, 623, 1655, 586, 236772, 12138, 236762, 236772, 1496, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 6011, 1083, 623, 12098, 52098, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236778, 236810, 236764, 623, 27495, 13238, 1083, 236743, 236778, 236828, 236761, 236800, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236832, 236761, 236778, 236764, 623, 2602, 1083, 623, 1256, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 4330, 3973, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 27495, 13238, 1083, 236743, 236778, 236832, 236761, 236825, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236825, 236761, 236828, 236764, 623, 2602, 1083, 623, 12138, 236762, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 6011, 1083, 623, 125055, 204409, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 27495, 13238, 1083, 236743, 236778, 236825, 236761, 236812, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236810, 236761, 236819, 236764, 623, 2602, 1083, 623, 213096, 28993, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 22631, 55748, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236771, 236800, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236770, 236761, 236778, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 2602, 1083, 623, 185060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 6011, 1083, 623, 66926, 532, 80766, 827, 623, 44340, 123025, 1083, 236743, 236771, 236761, 236771, 236778, 236764, 623, 27495, 13238, 1083, 236743, 236800, 236800, 236761, 236810, 236764, 623, 27495, 26834, 1083, 236743, 236770, 236819, 236761, 236800, 236764, 623, 2602, 1083, 623, 15879, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236832, 236772, 1496, 7606, 14415, 573, 181238, 568, 27403, 236743, 236770, 236810, 236772, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 607, 2668, 2963, 655, 236778, 236771, 236908, 31632, 6584, 24724, 236787, 108, 169986, 5213, 75652, 27613, 573, 46586, 151945, 1018, 138, 107, 1018, 27403, 236743, 236770, 236810, 66515, 25179, 55748, 4924, 236743, 236810, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236819, 237366, 236780, 236772, 236800, 236778, 236761, 236770, 237366, 236780, 138, 107, 1018, 27403, 236743, 236770, 236825, 66515, 216726, 35898, 4924, 236743, 236770, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236812, 237366, 236780, 236772, 236800, 236771, 236761, 236828, 237366, 236780, 138, 107, 1018, 27403, 236743, 236770, 236828, 66515, 7178, 3973, 4924, 236743, 236770, 236828, 236908, 31632, 4924, 236743, 236770, 236825, 236761, 236828, 237366, 236780, 236772, 236778, 236832, 236761, 236825, 237366, 236780, 138, 107, 1018, 27403, 236743, 236778, 236771, 66515, 25179, 55748, 4924, 236743, 236800, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236770, 237366, 236780, 236772, 236800, 236770, 236761, 236778, 237366, 236780, 138, 107, 1018, 27403, 236743, 236778, 236770, 66515, 32681, 833, 80766, 4924, 236743, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236800, 237366, 236780, 236772, 236800, 236800, 236761, 236810, 237366, 236780, 138, 108, 247898, 238178, 5213, 98458, 212775, 27613, 1018, 138, 107, 1018, 27403, 236743, 236770, 236832, 66515, 10847, 52098, 4924, 236743, 236778, 236810, 236908, 31632, 4924, 236743, 236770, 236832, 236761, 236778, 237366, 236780, 236772, 236778, 236828, 236761, 236800, 237366, 236780, 138, 107, 1018, 27403, 236743, 236770, 236819, 66515, 40520, 204409, 4924, 236743, 236832, 236778, 236908, 31632, 4924, 236743, 236770, 236810, 236761, 236819, 237366, 236780, 236772, 236778, 236825, 236761, 236812, 237366, 236780, 138, 108, 236777, 236789, 560, 45047, 672, 618, 496, 3606, 1694, 573, 3735, 11211, 236761, 145558, 659, 3505, 528, 57356, 607, 49157, 61897, 1171, 236761, 21284, 611, 1133, 786, 531, 2619, 496, 48246, 14626, 1927, 653, 11264, 672, 1262, 531, 45412, 6518, 573, 822, 2434, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 1800, 27857, 5091, 753, 506, 48246, 14626, 1927, 573, 3823, 5577, 1913, 1023, 5597, 2434, 199959, 236764, 532, 506, 45412, 573, 16074, 4022, 15067, 532, 31632, 39716, 528, 1023, 6995, 9413, 236761, 3026, 7107, 506, 14626, 236764, 1451, 611, 1161, 111730, 531, 10128, 7606, 3439, 568, 5282, 236743, 169986, 247898, 238178, 236768, 532, 2514, 11139, 528, 57356, 236881, 1701, 506, 45412, 236764, 5091, 3204, 11312, 573, 3433, 236764, 31632, 9948, 236764, 4022, 2644, 236764, 532, 3439, 236761, 1174, 795, 1601, 1041, 2434, 56856, 837, 2668, 531, 2260, 573, 11690, 4749, 14922, 21469, 15707, 66503, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 1800, 27857, 573, 611, 236761, 5715, 236789, 236751, 506, 5213, 161139, 14626, 1927, 1018, 607, 7606, 111730, 532, 57356, 11139, 236787, 108, 7243, 108, 10354, 236743, 244746, 5213, 9585, 169945, 46586, 15467, 95947, 1018, 138, 107, 1018, 27403, 236743, 236770, 236810, 236772, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 1018, 138, 108, 1018, 169986, 58731, 46586, 27613, 1018, 138, 107, 1018, 236770, 236810, 13067, 66515, 236743, 169986, 25179, 55748, 4924, 236743, 236810, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236819, 237366, 236780, 236964, 236800, 236778, 236761, 236770, 237366, 236780, 138, 107, 1018, 236770, 236825, 13067, 66515, 236743, 244881, 216726, 35898, 4924, 236743, 236770, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236812, 237366, 236780, 236964, 236800, 236771, 236761, 236828, 237366, 236780, 138, 107, 1018, 236770, 236828, 13067, 66515, 236743, 245649, 238178, 7178, 3973, 4924, 236743, 236770, 236828, 236908, 31632, 4924, 236743, 236770, 236825, 236761, 236828, 237366, 236780, 236964, 236778, 236832, 236761, 236825, 237366, 236780, 138, 107, 1018, 236778, 236771, 13067, 66515, 236743, 169986, 25179, 55748, 4924, 236743, 236800, 236908, 31632, 4924, 236743, 236770, 236828, 236761, 236770, 237366, 236780, 236964, 236800, 236770, 236761, 236778, 237366, 236780, 138, 107, 1018, 236778, 236770, 13067, 66515, 236743, 246160, 238178, 32681, 833, 80766, 4924, 236743, 236778, 236908, 31632, 4924, 236743, 236770, 236819, 236761, 236800, 237366, 236780, 236964, 236800, 236800, 236761, 236810, 237366, 236780, 138, 108, 1018, 247898, 238178, 34474, 212775, 27613, 1018, 138, 107, 1018, 236770, 236832, 13067, 66515, 236743, 247898, 238178, 10847, 52098, 4924, 236743, 236778, 236810, 236908, 31632, 4924, 236743, 236770, 236832, 236761, 236778, 237366, 236780, 236964, 236778, 236828, 236761, 236800, 237366, 236780, 138, 107, 1018, 236770, 236819, 13067, 66515, 236743, 250177, 238178, 40520, 204409, 4924, 236743, 236832, 236778, 236908, 31632, 4924, 236743, 236770, 236810, 236761, 236819, 237366, 236780, 236964, 236778, 236825, 236761, 236812, 237366, 236780, 138, 108, 7243, 108, 3133, 1590, 236789, 236751, 506, 5213, 53445, 6518, 1018, 573, 16074, 15067, 236787, 108, 2717, 8018, 107, 3682, 236764, 3695, 30815, 5135, 82547, 236764, 51994, 20214, 236764, 70092, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236764, 236810, 10014, 236770, 236828, 236761, 236819, 237366, 236780, 236964, 236800, 236778, 236761, 236770, 237366, 236780, 2098, 169986, 25179, 55748, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236764, 236770, 236778, 10014, 236770, 236819, 236761, 236812, 237366, 236780, 236964, 236800, 236771, 236761, 236828, 237366, 236780, 2098, 244881, 216726, 35898, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236764, 236778, 236810, 10014, 236770, 236832, 236761, 236778, 237366, 236780, 236964, 236778, 236828, 236761, 236800, 237366, 236780, 2098, 247898, 238178, 10847, 52098, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236764, 236770, 236828, 10014, 236770, 236825, 236761, 236828, 237366, 236780, 236964, 236778, 236832, 236761, 236825, 237366, 236780, 2098, 245649, 238178, 7178, 3973, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236764, 236832, 236778, 10014, 236770, 236810, 236761, 236819, 237366, 236780, 236964, 236778, 236825, 236761, 236812, 237366, 236780, 2098, 250177, 238178, 40520, 204409, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236764, 236800, 10014, 236770, 236828, 236761, 236770, 237366, 236780, 236964, 236800, 236770, 236761, 236778, 237366, 236780, 2098, 169986, 25179, 55748, 236775, 107, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236764, 236778, 10014, 236770, 236819, 236761, 236800, 237366, 236780, 236964, 236800, 236800, 236761, 236810, 237366, 236780, 2098, 246160, 238178, 32681, 833, 80766, 236775, 107, 2717, 108, 10354, 9533, 25772, 236787, 107, 236772, 5213, 28637, 1927, 66515, 25735, 236772, 30449, 6518, 607, 111730, 573, 2434, 199959, 138, 107, 236772, 5213, 53445, 66515, 181141, 1419, 742, 1131, 108665, 573, 7003, 3671, 138, 107, 236772, 5213, 51994, 21280, 66515, 226588, 61897, 1171, 236764, 528, 57356, 138, 107, 236772, 5213, 3695, 30815, 5135, 64470, 66515, 118189, 524, 531, 56856, 11690, 52246, 138, 108, 38786, 611, 1133, 786, 531, 6253, 506, 64334, 1076, 653, 1138, 1027, 4767, 4889, 568, 236744, 236761, 236759, 1126, 6573, 4249, 236764, 19296, 3546, 236768, 531, 3477, 6518, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1138, 6573, 4249, 532, 19296, 3546, 531, 1800, 27857, 236761, 1701, 506, 45412, 236764, 740, 611, 1138, 11312, 573, 6573, 4249, 568, 11375, 236786, 236754, 236768, 532, 19296, 3546, 236881, 1701, 506, 14626, 236764, 1451, 611, 14051, 506, 7606, 111730, 531, 1407, 6573, 12732, 568, 236744, 236761, 236759, 1126, 236743, 246160, 238178, 246160, 238178, 573, 15281, 29146, 236768, 532, 1138, 496, 236743, 244881, 4822, 573, 21037, 19296, 4535, 236881, 3551, 2434, 815, 11421, 1015, 1202, 531, 3856, 910, 5417, 699, 6573, 7112, 236764, 532, 1070, 40303, 659, 13719, 531, 3768, 10885, 236761, 1174, 1093, 1601, 775, 2731, 8336, 95392, 532, 92332, 14996, 236761, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 26919, 528, 506, 2487, 1262, 236761, 4210, 35329, 506, 72650, 19323, 236779, 52511, 5904, 236789, 236751, 3072, 3904, 236764, 564, 6303, 625, 4038, 236789, 236745, 3204, 5213, 15879, 4249, 1018, 653, 5213, 27898, 3546, 1018, 2979, 528, 506, 8323, 1262, 6192, 236761, 669, 5498, 3072, 1186, 4728, 236787, 3433, 236764, 12323, 236764, 31632, 123025, 236764, 4022, 13238, 236764, 4022, 26834, 236764, 532, 4822, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 122779, 506, 6330, 27857, 1699, 1186, 506, 2487, 1262, 568, 91534, 2746, 236764, 31632, 236764, 532, 4194, 17054, 779, 653, 138, 107, 236778, 236761, 8600, 17709, 11312, 528, 506, 45412, 573, 6573, 4249, 236786, 27898, 3546, 607, 8687, 600, 506, 5904, 4038, 236789, 236745, 2847, 672, 1262, 236881, 138, 108, 2542, 6573, 17511, 236764, 564, 1451, 1138, 623, 42554, 31379, 236775, 8687, 528, 506, 14626, 1927, 2721, 580, 506, 6330, 6573, 4822, 568, 246160, 238178, 236768, 532, 4022, 21280, 236761, 1701, 19296, 17511, 236764, 564, 1451, 3600, 92332, 14996, 580, 2668, 607, 623, 22631, 55748, 236775, 653, 1494, 11139, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 1873, 6527, 573, 5122, 236764, 10173, 236764, 114506, 236764, 532, 45449, 528, 23058, 236764, 5091, 236761, 562, 5602, 4733, 1003, 178394, 1070, 187557, 24352, 672, 5597, 236764, 532, 564, 1461, 531, 2583, 1091, 11459, 4945, 1056, 564, 2246, 1063, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 22278, 1083, 236743, 236778, 236800, 236812, 236810, 236761, 236825, 236832, 236764, 623, 56063, 1083, 236743, 236778, 236828, 236761, 236828, 236819, 236764, 623, 150952, 13419, 1083, 236743, 236770, 236771, 236810, 236800, 236761, 236778, 236810, 236764, 623, 207022, 1083, 236743, 236770, 236770, 236778, 236832, 236761, 236812, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 26419, 6211, 6527, 528, 23058, 568, 721, 494, 5821, 62963, 236768, 618, 529, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236787, 108, 236772, 5213, 21713, 568, 36928, 1473, 1018, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 138, 107, 236772, 5213, 48659, 568, 11585, 1473, 1018, 609, 236778, 236828, 236761, 236828, 236819, 138, 107, 236772, 5213, 187336, 13419, 568, 54036, 1473, 1018, 609, 236770, 236764, 236771, 236810, 236800, 236761, 236778, 236810, 138, 107, 236772, 5213, 229448, 568, 55333, 1473, 1018, 609, 236770, 236764, 236770, 236778, 236832, 236761, 236812, 236771, 138, 108, 9208, 6527, 4610, 528, 1759, 236772, 2289, 607, 2436, 18560, 236761, 1701, 24352, 37731, 236764, 611, 1149, 1461, 531, 1966, 236787, 138, 107, 236770, 236761, 669, 41039, 236786, 6888, 17412, 529, 1546, 6211, 138, 107, 236778, 236761, 14040, 28754, 7728, 236761, 136219, 55985, 138, 107, 236800, 236761, 24403, 10802, 568, 79707, 7728, 236761, 494, 5821, 56875, 236768, 138, 108, 38786, 611, 1133, 786, 531, 37386, 1027, 529, 1239, 5872, 573, 822, 5602, 22388, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 6527, 236761, 2088, 776, 564, 9279, 506, 1550, 529, 496, 236743, 236770, 236812, 236767, 5122, 29065, 600, 51494, 236743, 236778, 236778, 31254, 236881, 669, 5602, 6950, 625, 236789, 236751, 9726, 607, 1070, 10173, 2311, 753, 1374, 564, 9027, 496, 3530, 41039, 7232, 236764, 653, 776, 611, 1202, 919, 4889, 236881, 6542, 236764, 1451, 611, 1407, 506, 6596, 834, 564, 740, 8082, 625, 8207, 236881, 106, 107, 105, 4368, 107, 2021, 9279, 506, 5122, 3004, 1550, 529, 496, 236743, 236770, 236812, 236767, 29065, 568, 236810, 236828, 236761, 236800, 236908, 41039, 236768, 41658, 236743, 236778, 236778, 31254, 236787, 108, 1018, 236770, 236761, 24439, 5122, 3385, 531, 31254, 1018, 138, 107, 21713, 3385, 699, 6517, 236787, 5213, 236795, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 810, 494, 5821, 62963, 1018, 138, 107, 236770, 494, 5821, 62963, 578, 5213, 236800, 236770, 236761, 236770, 31254, 1018, 138, 107, 238183, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 108140, 236743, 236800, 236770, 236761, 236770, 578, 5213, 236795, 236832, 236810, 236761, 236812, 236778, 810, 12187, 529, 8176, 5122, 1018, 108, 1018, 236778, 236761, 22241, 8176, 5122, 3825, 1018, 138, 107, 236778, 236778, 31254, 15666, 236743, 236810, 236828, 236761, 236800, 236908, 41039, 578, 5213, 236770, 236778, 236761, 236828, 236778, 236825, 31254, 529, 8176, 5122, 1018, 108, 1018, 236800, 236761, 22241, 5122, 1550, 1018, 138, 107, 236770, 236778, 236761, 236828, 236778, 236825, 31254, 15666, 609, 236832, 236810, 236761, 236812, 236778, 236786, 1616, 578, 5213, 111417, 236819, 236825, 236832, 236761, 236771, 236771, 1018, 108, 1018, 3503, 24118, 53121, 138, 107, 236772, 669, 10173, 6950, 684, 506, 5602, 563, 4547, 912, 529, 506, 236743, 236770, 236812, 236767, 30994, 568, 236812, 236770, 236761, 236832, 236908, 1908, 236772, 22278, 17257, 1133, 10173, 236786, 109289, 769, 29506, 993, 659, 11325, 10173, 67824, 236764, 672, 30994, 1550, 563, 40266, 75720, 236795, 236771, 236761, 236800, 236771, 236786, 236759, 573, 10173, 769, 138, 107, 236772, 105603, 616, 11082, 2350, 5213, 236770, 236771, 236772, 236800, 236771, 236908, 3426, 7075, 1018, 573, 28754, 2779, 531, 68657, 5384, 236761, 138, 107, 236772, 1701, 136219, 9097, 236764, 83918, 1550, 1149, 9644, 6211, 3004, 236761, 138, 108, 38786, 611, 1133, 496, 7930, 531, 8082, 672, 531, 822, 5602, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2619, 496, 3606, 25890, 7930, 6807, 506, 14988, 6555, 236881, 669, 5602, 2473, 14756, 9333, 1217, 692, 12208, 657, 506, 1550, 236764, 4285, 506, 14274, 699, 494, 5821, 56875, 531, 31254, 532, 506, 41039, 10256, 236761, 15704, 3204, 496, 5433, 1003, 506, 10173, 30994, 236789, 236751, 11893, 4100, 580, 1550, 8423, 993, 659, 11325, 10173, 6237, 236881, 106, 107, 105, 4368, 107, 1018, 3695, 11566, 26745, 12155, 86249, 33404, 1018, 138, 107, 16907, 2542, 236743, 236770, 236812, 236855, 7707, 131497, 753, 236743, 236778, 236778, 23433, 236751, 12016, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 14040, 7707, 14584, 1018, 138, 107, 1018, 38741, 14584, 568, 721, 494, 5821, 62963, 1473, 1018, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236768, 138, 107, 1018, 75675, 531, 31254, 53121, 138, 107, 236770, 494, 5821, 62963, 578, 236743, 236800, 236770, 236761, 236770, 31254, 138, 107, 238183, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 108140, 236743, 236800, 236770, 236761, 236770, 236759, 578, 5213, 236795, 236832, 236810, 236761, 236812, 236778, 810, 12187, 529, 8176, 5122, 1018, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 33677, 7707, 16748, 1018, 138, 107, 1018, 236791, 7069, 529, 236743, 236770, 236812, 236855, 7707, 53121, 236743, 236810, 236828, 236761, 236800, 236908, 568, 236770, 236812, 108140, 236743, 236778, 236812, 578, 236743, 236771, 236761, 236810, 236828, 236800, 236768, 138, 107, 1018, 9640, 24403, 53121, 236743, 236778, 236778, 31254, 138, 107, 1018, 79910, 7707, 24403, 53121, 138, 107, 236778, 236778, 236759, 15666, 236743, 236810, 236828, 236761, 236800, 236908, 578, 5213, 236770, 236778, 236761, 236828, 236778, 236825, 31254, 529, 8176, 5122, 1018, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 7707, 12155, 86249, 1018, 138, 107, 1018, 236770, 236778, 236761, 236828, 236778, 236825, 236759, 568, 44310, 5122, 236768, 15666, 609, 236832, 236810, 236761, 236812, 236778, 236786, 236759, 578, 609, 236819, 236825, 236832, 236761, 236771, 236771, 1018, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 18663, 115048, 61018, 2540, 1018, 138, 107, 236772, 669, 9866, 5213, 236812, 236770, 236761, 236832, 236908, 568, 236819, 236761, 236770, 236832, 236812, 236759, 62902, 563, 30994, 568, 116645, 10173, 236764, 14561, 236764, 653, 26862, 769, 138, 107, 236772, 5213, 3135, 529, 30994, 53121, 202721, 236771, 236761, 236800, 236771, 810, 12187, 573, 10173, 16130, 236743, 236819, 236761, 236770, 236832, 236812, 236759, 15666, 609, 236771, 236761, 236800, 236771, 578, 5213, 236795, 236778, 236761, 236832, 236810, 1018, 568, 226913, 554, 1253, 769, 138, 107, 236772, 5213, 3434, 53121, 1637, 506, 6347, 815, 808, 21259, 10173, 6237, 236829, 568, 236744, 236761, 236759, 1126, 10173, 40375, 975, 236764, 528, 125560, 779, 1724, 1093, 1202, 7732, 37731, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 25275, 107452, 1018, 138, 107, 236772, 5213, 7166, 4049, 56484, 53121, 105603, 616, 3187, 2350, 5213, 236770, 236771, 236964, 236800, 236771, 236908, 3426, 7075, 1018, 573, 28754, 5122, 2779, 531, 8487, 12412, 236761, 138, 107, 236772, 5213, 129208, 12155, 53121, 36811, 236786, 661, 16842, 83918, 1149, 1138, 3629, 1550, 6998, 6211, 3004, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 93550, 12155, 1018, 138, 107, 1018, 8728, 26745, 12155, 53121, 609, 236819, 236825, 236832, 236761, 236771, 236771, 568, 22278, 236768, 900, 609, 236778, 236761, 236832, 236810, 568, 135885, 236768, 67081, 5213, 236795, 236819, 236832, 236771, 236761, 236771, 236771, 1018, 138, 107, 16907, 10282, 236787, 1174, 563, 496, 32741, 10967, 236793, 5663, 64344, 10325, 573, 10634, 2907, 236829, 138, 108, 7243, 138, 108, 1018, 19952, 24118, 53121, 138, 107, 236772, 623, 2094, 14988, 22136, 506, 5213, 1712, 2561, 1550, 1018, 529, 506, 5122, 528, 822, 24352, 1781, 138, 107, 236772, 623, 2859, 611, 236858, 236753, 1133, 496, 919, 18997, 64344, 236764, 692, 740, 5608, 1027, 11325, 10173, 67824, 653, 136219, 4065, 1781, 138, 108, 38786, 611, 1133, 672, 618, 496, 48246, 16553, 653, 57892, 2354, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 1873, 6527, 573, 5122, 236764, 10173, 236764, 114506, 236764, 532, 45449, 528, 23058, 236764, 5091, 236761, 562, 5602, 4733, 1003, 178394, 1070, 187557, 24352, 672, 5597, 236764, 532, 564, 1461, 531, 2583, 1091, 11459, 4945, 1056, 564, 2246, 1063, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 22278, 1083, 236743, 236778, 236800, 236812, 236810, 236761, 236825, 236832, 236764, 623, 56063, 1083, 236743, 236778, 236828, 236761, 236828, 236819, 236764, 623, 150952, 13419, 1083, 236743, 236770, 236771, 236810, 236800, 236761, 236778, 236810, 236764, 623, 207022, 1083, 236743, 236770, 236770, 236778, 236832, 236761, 236812, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 26419, 6211, 6527, 528, 23058, 568, 721, 494, 5821, 62963, 236768, 618, 529, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236787, 108, 236772, 5213, 21713, 568, 36928, 1473, 1018, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 138, 107, 236772, 5213, 48659, 568, 11585, 1473, 1018, 609, 236778, 236828, 236761, 236828, 236819, 138, 107, 236772, 5213, 187336, 13419, 568, 54036, 1473, 1018, 609, 236770, 236764, 236771, 236810, 236800, 236761, 236778, 236810, 138, 107, 236772, 5213, 229448, 568, 55333, 1473, 1018, 609, 236770, 236764, 236770, 236778, 236832, 236761, 236812, 236771, 138, 108, 9208, 6527, 4610, 528, 1759, 236772, 2289, 607, 2436, 18560, 236761, 1701, 24352, 37731, 236764, 611, 1149, 1461, 531, 1966, 236787, 138, 107, 236770, 236761, 669, 41039, 236786, 6888, 17412, 529, 1546, 6211, 138, 107, 236778, 236761, 14040, 28754, 7728, 236761, 136219, 55985, 138, 107, 236800, 236761, 24403, 10802, 568, 79707, 7728, 236761, 494, 5821, 56875, 236768, 138, 108, 38786, 611, 1133, 786, 531, 37386, 1027, 529, 1239, 5872, 573, 822, 5602, 22388, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 6527, 236761, 2088, 776, 564, 9279, 506, 1550, 529, 496, 236743, 236770, 236812, 236767, 5122, 29065, 600, 51494, 236743, 236778, 236778, 31254, 236881, 669, 5602, 6950, 625, 236789, 236751, 9726, 607, 1070, 10173, 2311, 753, 1374, 564, 9027, 496, 3530, 41039, 7232, 236764, 653, 776, 611, 1202, 919, 4889, 236881, 6542, 236764, 1451, 611, 1407, 506, 6596, 834, 564, 740, 8082, 625, 8207, 236881, 106, 107, 105, 4368, 107, 2021, 9279, 506, 5122, 3004, 1550, 529, 496, 236743, 236770, 236812, 236767, 29065, 568, 236810, 236828, 236761, 236800, 236908, 41039, 236768, 41658, 236743, 236778, 236778, 31254, 236787, 108, 1018, 236770, 236761, 24439, 5122, 3385, 531, 31254, 1018, 138, 107, 21713, 3385, 699, 6517, 236787, 5213, 236795, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 810, 494, 5821, 62963, 1018, 138, 107, 236770, 494, 5821, 62963, 578, 5213, 236800, 236770, 236761, 236770, 31254, 1018, 138, 107, 238183, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 108140, 236743, 236800, 236770, 236761, 236770, 578, 5213, 236795, 236832, 236810, 236761, 236812, 236778, 810, 12187, 529, 8176, 5122, 1018, 108, 1018, 236778, 236761, 22241, 8176, 5122, 3825, 1018, 138, 107, 236778, 236778, 31254, 15666, 236743, 236810, 236828, 236761, 236800, 236908, 41039, 578, 5213, 236770, 236778, 236761, 236828, 236778, 236825, 31254, 529, 8176, 5122, 1018, 108, 1018, 236800, 236761, 22241, 5122, 1550, 1018, 138, 107, 236770, 236778, 236761, 236828, 236778, 236825, 31254, 15666, 609, 236832, 236810, 236761, 236812, 236778, 236786, 1616, 578, 5213, 111417, 236819, 236825, 236832, 236761, 236771, 236771, 1018, 108, 1018, 3503, 24118, 53121, 138, 107, 236772, 669, 10173, 6950, 684, 506, 5602, 563, 4547, 912, 529, 506, 236743, 236770, 236812, 236767, 30994, 568, 236812, 236770, 236761, 236832, 236908, 1908, 236772, 22278, 17257, 1133, 10173, 236786, 109289, 769, 29506, 993, 659, 11325, 10173, 67824, 236764, 672, 30994, 1550, 563, 40266, 75720, 236795, 236771, 236761, 236800, 236771, 236786, 236759, 573, 10173, 769, 138, 107, 236772, 105603, 616, 11082, 2350, 5213, 236770, 236771, 236772, 236800, 236771, 236908, 3426, 7075, 1018, 573, 28754, 2779, 531, 68657, 5384, 236761, 138, 107, 236772, 1701, 136219, 9097, 236764, 83918, 1550, 1149, 9644, 6211, 3004, 236761, 138, 108, 38786, 611, 1133, 496, 7930, 531, 8082, 672, 531, 822, 5602, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2619, 496, 3606, 25890, 7930, 6807, 506, 14988, 6555, 236881, 669, 5602, 2473, 14756, 9333, 1217, 692, 12208, 657, 506, 1550, 236764, 4285, 506, 14274, 699, 494, 5821, 56875, 531, 31254, 532, 506, 41039, 10256, 236761, 15704, 3204, 496, 5433, 1003, 506, 10173, 30994, 236789, 236751, 11893, 4100, 580, 1550, 8423, 993, 659, 11325, 10173, 6237, 236881, 106, 107, 105, 4368, 107, 1018, 3695, 11566, 26745, 12155, 86249, 33404, 1018, 138, 107, 16907, 2542, 236743, 236770, 236812, 236855, 7707, 131497, 753, 236743, 236778, 236778, 23433, 236751, 12016, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 14040, 7707, 14584, 1018, 138, 107, 1018, 38741, 14584, 568, 721, 494, 5821, 62963, 1473, 1018, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 568, 527, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236768, 138, 107, 1018, 75675, 531, 31254, 53121, 138, 107, 236770, 494, 5821, 62963, 578, 236743, 236800, 236770, 236761, 236770, 31254, 138, 107, 238183, 609, 236778, 236764, 236800, 236812, 236810, 236761, 236825, 236832, 108140, 236743, 236800, 236770, 236761, 236770, 236759, 578, 5213, 236795, 236832, 236810, 236761, 236812, 236778, 810, 12187, 529, 8176, 5122, 1018, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 33677, 7707, 16748, 1018, 138, 107, 1018, 236791, 7069, 529, 236743, 236770, 236812, 236855, 7707, 53121, 236743, 236810, 236828, 236761, 236800, 236908, 568, 236770, 236812, 108140, 236743, 236778, 236812, 578, 236743, 236771, 236761, 236810, 236828, 236800, 236768, 138, 107, 1018, 9640, 24403, 53121, 236743, 236778, 236778, 31254, 138, 107, 1018, 79910, 7707, 24403, 53121, 138, 107, 236778, 236778, 236759, 15666, 236743, 236810, 236828, 236761, 236800, 236908, 578, 5213, 236770, 236778, 236761, 236828, 236778, 236825, 31254, 529, 8176, 5122, 1018, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 7707, 12155, 86249, 1018, 138, 107, 1018, 236770, 236778, 236761, 236828, 236778, 236825, 236759, 568, 44310, 5122, 236768, 15666, 609, 236832, 236810, 236761, 236812, 236778, 236786, 236759, 578, 609, 236819, 236825, 236832, 236761, 236771, 236771, 1018, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 18663, 115048, 61018, 2540, 1018, 138, 107, 236772, 669, 9866, 5213, 236812, 236770, 236761, 236832, 236908, 568, 236819, 236761, 236770, 236832, 236812, 236759, 62902, 563, 30994, 568, 116645, 10173, 236764, 14561, 236764, 653, 26862, 769, 138, 107, 236772, 5213, 3135, 529, 30994, 53121, 202721, 236771, 236761, 236800, 236771, 810, 12187, 573, 10173, 16130, 236743, 236819, 236761, 236770, 236832, 236812, 236759, 15666, 609, 236771, 236761, 236800, 236771, 578, 5213, 236795, 236778, 236761, 236832, 236810, 1018, 568, 226913, 554, 1253, 769, 138, 107, 236772, 5213, 3434, 53121, 1637, 506, 6347, 815, 808, 21259, 10173, 6237, 236829, 568, 236744, 236761, 236759, 1126, 10173, 40375, 975, 236764, 528, 125560, 779, 1724, 1093, 1202, 7732, 37731, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 25275, 107452, 1018, 138, 107, 236772, 5213, 7166, 4049, 56484, 53121, 105603, 616, 3187, 2350, 5213, 236770, 236771, 236964, 236800, 236771, 236908, 3426, 7075, 1018, 573, 28754, 5122, 2779, 531, 8487, 12412, 236761, 138, 107, 236772, 5213, 129208, 12155, 53121, 36811, 236786, 661, 16842, 83918, 1149, 1138, 3629, 1550, 6998, 6211, 3004, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 93550, 12155, 1018, 138, 107, 1018, 8728, 26745, 12155, 53121, 609, 236819, 236825, 236832, 236761, 236771, 236771, 568, 22278, 236768, 900, 609, 236778, 236761, 236832, 236810, 568, 135885, 236768, 67081, 5213, 236795, 236819, 236832, 236771, 236761, 236771, 236771, 1018, 138, 107, 16907, 10282, 236787, 1174, 563, 496, 32741, 10967, 236793, 5663, 64344, 10325, 573, 10634, 2907, 236829, 138, 108, 7243, 138, 108, 1018, 19952, 24118, 53121, 138, 107, 236772, 623, 2094, 14988, 22136, 506, 5213, 1712, 2561, 1550, 1018, 529, 506, 5122, 528, 822, 24352, 1781, 138, 107, 236772, 623, 2859, 611, 236858, 236753, 1133, 496, 919, 18997, 64344, 236764, 692, 740, 5608, 1027, 11325, 10173, 67824, 653, 136219, 4065, 1781, 138, 108, 38786, 611, 1133, 672, 618, 496, 48246, 16553, 653, 57892, 2354, 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, 13108, 236761, 564, 236789, 236757, 201585, 506, 1463, 573, 1041, 861, 1610, 11452, 600, 59156, 26135, 532, 3668, 14062, 237028, 64980, 529, 623, 236847, 98237, 85454, 18605, 1781, 5315, 236764, 564, 1202, 531, 2426, 768, 506, 76891, 15345, 623, 236766, 98237, 236779, 46802, 236775, 563, 2487, 573, 1041, 2777, 4009, 6219, 236761, 1637, 625, 563, 236764, 564, 236858, 236753, 992, 1133, 531, 9128, 625, 236858, 236751, 711, 496, 63976, 1941, 1680, 564, 8274, 531, 625, 236761, 28344, 611, 6060, 1800, 17507, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236766, 98237, 236779, 46802, 827, 623, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236766, 98237, 236779, 46802, 827, 623, 511, 236779, 206170, 5359, 1083, 2416, 236764, 623, 27388, 1083, 623, 818, 1941, 756, 236766, 98237, 236779, 46802, 236789, 563, 711, 4542, 63976, 528, 5422, 236761, 1030, 106673, 4414, 41001, 4596, 531, 45489, 9226, 23060, 532, 25075, 3877, 236764, 3043, 625, 9273, 573, 614, 1610, 11452, 5500, 1781, 236783, 106, 107, 105, 4368, 107, 818, 76891, 15345, 5213, 236775, 236766, 98237, 236779, 46802, 236775, 1018, 563, 5213, 18700, 1018, 573, 1161, 236764, 532, 506, 1941, 5213, 236775, 236766, 98237, 236779, 46802, 236775, 1018, 815, 1010, 10778, 5213, 2217, 531, 577, 63976, 84750, 669, 9299, 15569, 8687, 625, 106673, 4414, 41001, 4596, 531, 623, 236752, 2232, 9226, 23060, 532, 25075, 3877, 2098, 3043, 625, 496, 3188, 4691, 573, 822, 1610, 11452, 5500, 236761, 236743, 108, 11069, 1463, 236764, 5213, 236775, 236847, 98237, 85454, 18605, 2098, 1018, 563, 5508, 531, 3539, 3418, 14175, 236888, 236743, 243712, 245838, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 10686, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 13108, 236761, 564, 236789, 236757, 201585, 506, 1463, 573, 1041, 861, 1610, 11452, 600, 59156, 26135, 532, 3668, 14062, 237028, 64980, 529, 623, 236847, 98237, 85454, 18605, 1781, 5315, 236764, 564, 1202, 531, 2426, 768, 506, 76891, 15345, 623, 236766, 98237, 236779, 46802, 236775, 563, 2487, 573, 1041, 2777, 4009, 6219, 236761, 1637, 625, 563, 236764, 564, 236858, 236753, 992, 1133, 531, 9128, 625, 236858, 236751, 711, 496, 63976, 1941, 1680, 564, 8274, 531, 625, 236761, 28344, 611, 6060, 1800, 17507, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236766, 98237, 236779, 46802, 827, 623, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236766, 98237, 236779, 46802, 827, 623, 511, 236779, 206170, 5359, 1083, 2416, 236764, 623, 27388, 1083, 623, 818, 1941, 756, 236766, 98237, 236779, 46802, 236789, 563, 711, 4542, 63976, 528, 5422, 236761, 1030, 106673, 4414, 41001, 4596, 531, 45489, 9226, 23060, 532, 25075, 3877, 236764, 3043, 625, 9273, 573, 614, 1610, 11452, 5500, 1781, 236783, 106, 107, 105, 4368, 107, 818, 76891, 15345, 5213, 236775, 236766, 98237, 236779, 46802, 236775, 1018, 563, 5213, 18700, 1018, 573, 1161, 236764, 532, 506, 1941, 5213, 236775, 236766, 98237, 236779, 46802, 236775, 1018, 815, 1010, 10778, 5213, 2217, 531, 577, 63976, 84750, 669, 9299, 15569, 8687, 625, 106673, 4414, 41001, 4596, 531, 623, 236752, 2232, 9226, 23060, 532, 25075, 3877, 2098, 3043, 625, 496, 3188, 4691, 573, 822, 1610, 11452, 5500, 236761, 236743, 108, 11069, 1463, 236764, 5213, 236775, 236847, 98237, 85454, 18605, 2098, 1018, 563, 5508, 531, 3539, 3418, 14175, 236888, 236743, 243712, 245838, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 10686, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1023, 7384, 2434, 236772, 21125, 4284, 7946, 531, 106712, 2093, 13988, 4025, 4556, 236761, 5315, 236764, 740, 611, 2426, 20615, 1883, 20720, 1534, 5857, 236743, 236770, 236772, 236800, 236771, 531, 5571, 39252, 28847, 236881, 6890, 506, 3927, 236779, 5805, 17109, 5904, 607, 4563, 1076, 531, 8754, 14533, 236764, 45108, 532, 3433, 2644, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1186, 20615, 1883, 10940, 528, 8754, 14533, 236764, 45108, 1913, 5857, 236743, 236770, 236772, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 563, 236787, 108, 1018, 63651, 6156, 1018, 753, 5857, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 108, 2094, 1093, 577, 506, 5905, 3433, 531, 1966, 573, 3435, 39252, 28847, 236764, 618, 625, 236789, 236751, 496, 7933, 10940, 532, 1551, 1331, 1149, 577, 16270, 506, 4467, 236761, 669, 1884, 529, 5857, 815, 951, 4767, 1883, 236772, 169470, 20720, 528, 672, 4563, 236761, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 2731, 496, 108723, 236772, 3061, 13294, 573, 1023, 2434, 236772, 21125, 7946, 1699, 13153, 1133, 3730, 15689, 30056, 532, 24191, 2149, 43814, 236881, 6890, 506, 40037, 236779, 9913, 236779, 17302, 5904, 531, 3927, 573, 15028, 6549, 653, 19292, 600, 3204, 1239, 13153, 236761, 5393, 5273, 623, 9503, 15689, 30056, 24191, 2149, 43814, 236775, 618, 506, 3927, 1941, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 16520, 19862, 30056, 971, 36995, 14039, 21263, 3051, 827, 623, 23425, 26528, 971, 36995, 14039, 25891, 607, 9595, 19862, 30056, 59421, 46798, 827, 623, 16520, 19862, 532, 971, 36995, 14039, 80663, 827, 623, 1659, 36995, 14039, 210109, 236785, 236756, 236771, 236771, 236744, 236819, 607, 9595, 19862, 30056, 23236, 27528, 827, 623, 16520, 19862, 30056, 971, 36995, 14039, 231361, 607, 7086, 27491, 112426, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1070, 108723, 236772, 52728, 15028, 19205, 1699, 3730, 15689, 30056, 532, 24191, 2149, 43814, 600, 1093, 981, 1388, 573, 496, 2299, 13294, 236787, 108, 236770, 236761, 5213, 16520, 19862, 30056, 971, 36995, 14039, 21263, 3051, 1018, 138, 107, 139, 236769, 20418, 573, 2434, 236772, 21125, 14049, 5085, 1271, 4677, 740, 1601, 5727, 532, 20151, 15520, 108, 236778, 236761, 5213, 23425, 26528, 971, 36995, 14039, 25891, 607, 9595, 19862, 30056, 59421, 46798, 1018, 138, 107, 139, 236769, 45362, 236762, 532, 4024, 742, 1271, 506, 112354, 1138, 496, 83496, 7595, 236768, 108, 236800, 236761, 5213, 16520, 19862, 532, 971, 36995, 14039, 80663, 1018, 138, 107, 139, 236769, 236798, 10729, 5086, 607, 496, 28239, 108723, 83426, 236768, 108, 236812, 236761, 5213, 1659, 36995, 14039, 555, 49358, 607, 9595, 19862, 30056, 23236, 27528, 1018, 138, 107, 139, 236769, 36120, 531, 11006, 532, 4011, 573, 55057, 28188, 1826, 236768, 108, 236810, 236761, 5213, 16520, 19862, 30056, 971, 36995, 14039, 231361, 607, 7086, 27491, 112426, 1018, 138, 107, 139, 236769, 35093, 13932, 236786, 100730, 5086, 1271, 1093, 1386, 496, 31803, 31488, 15520, 108, 1659, 36995, 43814, 659, 496, 6672, 19227, 31831, 607, 496, 177219, 18434, 236764, 532, 3730, 15689, 30056, 13586, 496, 9380, 236764, 181604, 8744, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 23642, 653, 1601, 64461, 886, 573, 2299, 12652, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1601, 611, 7535, 506, 5213, 16520, 19862, 30056, 971, 36995, 14039, 21263, 3051, 1018, 15028, 573, 2299, 12652, 236888, 5715, 236789, 236751, 496, 9813, 25890, 573, 236743, 236770, 236778, 105565, 236764, 5402, 531, 1531, 822, 2434, 41049, 236787, 36675, 80225, 236787, 753, 236743, 236778, 27370, 3730, 15689, 30056, 753, 236743, 236770, 8578, 30387, 189944, 568, 1708, 11609, 236768, 753, 236743, 236770, 236761, 236810, 27370, 25865, 24191, 2149, 43814, 568, 236753, 19636, 768, 61683, 236764, 653, 5756, 236768, 753, 236743, 236770, 8578, 96951, 25865, 12480, 653, 20411, 31454, 568, 31162, 6762, 236768, 753, 236743, 236770, 236786, 236778, 8578, 3826, 137974, 16510, 568, 504, 531, 11613, 236768, 753, 236743, 236770, 236786, 236812, 8578, 186666, 653, 25357, 92658, 753, 236743, 236770, 72881, 25671, 13950, 753, 236743, 236770, 236786, 236778, 72881, 142513, 753, 236743, 236770, 236778, 15689, 7597, 2357, 568, 177927, 528, 6962, 1813, 236768, 753, 30409, 156896, 653, 171177, 34267, 573, 70959, 36675, 55302, 50228, 568, 18373, 89644, 1473, 236743, 236770, 236761, 5213, 222561, 14629, 66515, 753, 70535, 3730, 15689, 30056, 236764, 30387, 189944, 236764, 25671, 13950, 236764, 532, 142513, 236761, 753, 4140, 186666, 532, 6921, 3097, 134480, 586, 568, 36713, 573, 236743, 236778, 236772, 236800, 1331, 531, 981, 3075, 769, 236743, 236778, 236761, 5213, 190533, 54567, 66515, 753, 55002, 24191, 2149, 43814, 568, 584, 2455, 236768, 532, 6921, 607, 3826, 137974, 16510, 532, 6762, 568, 584, 1699, 769, 753, 55630, 5026, 531, 9381, 506, 18728, 1131, 1944, 52912, 573, 3735, 2802, 236761, 236743, 236800, 236761, 5213, 27601, 10452, 66515, 753, 5213, 236814, 20733, 1593, 6750, 66515, 41152, 7597, 2357, 4196, 223575, 684, 39351, 1813, 618, 4354, 236761, 753, 5213, 97813, 616, 66515, 66599, 236743, 236778, 107072, 29169, 8990, 1546, 171177, 236764, 9542, 2557, 657, 506, 1903, 236761, 753, 5213, 25831, 616, 66515, 4140, 236743, 236770, 107072, 18728, 531, 506, 3988, 529, 1546, 29169, 4086, 236761, 753, 5213, 104106, 66515, 66948, 7597, 2357, 568, 989, 236772, 898, 236772, 3991, 236772, 7571, 236768, 532, 14806, 607, 156896, 236761, 236743, 236812, 236761, 5213, 117635, 51495, 66515, 753, 32726, 11583, 3051, 528, 68558, 568, 236800, 236771, 236772, 236812, 236771, 4310, 2558, 769, 55630, 5026, 531, 7020, 1813, 4535, 236761, 36675, 33879, 573, 21942, 236787, 753, 5213, 36286, 100857, 66515, 9996, 506, 29169, 532, 18728, 506, 3446, 1680, 531, 5383, 990, 236761, 753, 5213, 18373, 196457, 66515, 9274, 108723, 4252, 1651, 2844, 532, 1531, 1331, 96453, 910, 11583, 3051, 236761, 753, 5213, 150143, 66515, 58108, 607, 51854, 99369, 653, 111273, 569, 14329, 236748, 573, 496, 28239, 9009, 236761, 21284, 611, 1133, 100939, 573, 1027, 13153, 653, 30981, 573, 33901, 14523, 236881, 106, 107, 105, 4368, 107, 2094, 563, 496, 14853, 2731, 236888, 669, 11583, 3051, 15028, 532, 2434, 237237, 237496, 1385, 4011, 573, 2299, 13859, 236761, 5715, 659, 496, 2321, 4767, 11221, 532, 100939, 531, 5330, 2630, 236787, 108, 1018, 5096, 3069, 3474, 833, 35593, 1230, 53121, 107, 236772, 5213, 22297, 11125, 236772, 6796, 66515, 6890, 236743, 236770, 236771, 236771, 236908, 30387, 189944, 568, 1904, 3730, 15689, 30056, 236768, 653, 19743, 40772, 236772, 6796, 15689, 30056, 236761, 107, 236772, 5213, 181706, 66515, 44635, 186666, 607, 31255, 4446, 653, 28976, 92658, 236793, 68442, 12480, 236786, 21591, 31454, 653, 1161, 236743, 236770, 8578, 2764, 21556, 900, 236743, 236770, 8578, 44685, 15689, 618, 18728, 236761, 107, 236772, 5213, 1659, 36995, 5207, 24277, 66515, 1637, 47713, 236764, 22784, 607, 236743, 236770, 8578, 103853, 3826, 29979, 653, 152325, 4099, 17500, 568, 1708, 3361, 177219, 7595, 769, 108, 1018, 4153, 28811, 33879, 573, 46586, 54567, 53121, 107, 236770, 236761, 5213, 148539, 3502, 8356, 66515, 6890, 496, 27695, 37584, 607, 496, 2455, 2197, 900, 107059, 25883, 236793, 20151, 11583, 3051, 528, 40259, 768, 7597, 2357, 659, 47713, 236761, 107, 236778, 236761, 5213, 36286, 100857, 66515, 219328, 7597, 2357, 24602, 528, 496, 30927, 607, 8205, 37924, 531, 2514, 1091, 223575, 1913, 5203, 236761, 107, 236800, 236761, 5213, 18373, 89644, 66515, 55630, 496, 623, 73150, 3051, 22359, 236775, 531, 72384, 14510, 25725, 532, 496, 623, 91857, 1830, 26295, 236775, 531, 5330, 1813, 216958, 573, 506, 101603, 236761, 108, 1018, 150143, 59336, 526, 53121, 107, 3974, 872, 496, 623, 73150, 3051, 4244, 236775, 607, 105785, 1133, 236787, 107, 236772, 201752, 3826, 137974, 16510, 107, 236772, 24067, 991, 2604, 40641, 107, 236772, 7678, 38829, 116308, 66389, 107, 236772, 28776, 135616, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 912, 529, 672, 2731, 573, 33901, 14523, 653, 37386, 506, 14049, 1657, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1023, 7384, 2434, 236772, 21125, 4284, 7946, 531, 106712, 2093, 13988, 4025, 4556, 236761, 5315, 236764, 740, 611, 2426, 20615, 1883, 20720, 1534, 5857, 236743, 236770, 236772, 236800, 236771, 531, 5571, 39252, 28847, 236881, 6890, 506, 3927, 236779, 5805, 17109, 5904, 607, 4563, 1076, 531, 8754, 14533, 236764, 45108, 532, 3433, 2644, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1186, 20615, 1883, 10940, 528, 8754, 14533, 236764, 45108, 1913, 5857, 236743, 236770, 236772, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 563, 236787, 108, 1018, 63651, 6156, 1018, 753, 5857, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 108, 2094, 1093, 577, 506, 5905, 3433, 531, 1966, 573, 3435, 39252, 28847, 236764, 618, 625, 236789, 236751, 496, 7933, 10940, 532, 1551, 1331, 1149, 577, 16270, 506, 4467, 236761, 669, 1884, 529, 5857, 815, 951, 4767, 1883, 236772, 169470, 20720, 528, 672, 4563, 236761, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 2731, 496, 108723, 236772, 3061, 13294, 573, 1023, 2434, 236772, 21125, 7946, 1699, 13153, 1133, 3730, 15689, 30056, 532, 24191, 2149, 43814, 236881, 6890, 506, 40037, 236779, 9913, 236779, 17302, 5904, 531, 3927, 573, 15028, 6549, 653, 19292, 600, 3204, 1239, 13153, 236761, 5393, 5273, 623, 9503, 15689, 30056, 24191, 2149, 43814, 236775, 618, 506, 3927, 1941, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 16520, 19862, 30056, 971, 36995, 14039, 21263, 3051, 827, 623, 23425, 26528, 971, 36995, 14039, 25891, 607, 9595, 19862, 30056, 59421, 46798, 827, 623, 16520, 19862, 532, 971, 36995, 14039, 80663, 827, 623, 1659, 36995, 14039, 210109, 236785, 236756, 236771, 236771, 236744, 236819, 607, 9595, 19862, 30056, 23236, 27528, 827, 623, 16520, 19862, 30056, 971, 36995, 14039, 231361, 607, 7086, 27491, 112426, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1070, 108723, 236772, 52728, 15028, 19205, 1699, 3730, 15689, 30056, 532, 24191, 2149, 43814, 600, 1093, 981, 1388, 573, 496, 2299, 13294, 236787, 108, 236770, 236761, 5213, 16520, 19862, 30056, 971, 36995, 14039, 21263, 3051, 1018, 138, 107, 139, 236769, 20418, 573, 2434, 236772, 21125, 14049, 5085, 1271, 4677, 740, 1601, 5727, 532, 20151, 15520, 108, 236778, 236761, 5213, 23425, 26528, 971, 36995, 14039, 25891, 607, 9595, 19862, 30056, 59421, 46798, 1018, 138, 107, 139, 236769, 45362, 236762, 532, 4024, 742, 1271, 506, 112354, 1138, 496, 83496, 7595, 236768, 108, 236800, 236761, 5213, 16520, 19862, 532, 971, 36995, 14039, 80663, 1018, 138, 107, 139, 236769, 236798, 10729, 5086, 607, 496, 28239, 108723, 83426, 236768, 108, 236812, 236761, 5213, 1659, 36995, 14039, 555, 49358, 607, 9595, 19862, 30056, 23236, 27528, 1018, 138, 107, 139, 236769, 36120, 531, 11006, 532, 4011, 573, 55057, 28188, 1826, 236768, 108, 236810, 236761, 5213, 16520, 19862, 30056, 971, 36995, 14039, 231361, 607, 7086, 27491, 112426, 1018, 138, 107, 139, 236769, 35093, 13932, 236786, 100730, 5086, 1271, 1093, 1386, 496, 31803, 31488, 15520, 108, 1659, 36995, 43814, 659, 496, 6672, 19227, 31831, 607, 496, 177219, 18434, 236764, 532, 3730, 15689, 30056, 13586, 496, 9380, 236764, 181604, 8744, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 23642, 653, 1601, 64461, 886, 573, 2299, 12652, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1601, 611, 7535, 506, 5213, 16520, 19862, 30056, 971, 36995, 14039, 21263, 3051, 1018, 15028, 573, 2299, 12652, 236888, 5715, 236789, 236751, 496, 9813, 25890, 573, 236743, 236770, 236778, 105565, 236764, 5402, 531, 1531, 822, 2434, 41049, 236787, 36675, 80225, 236787, 753, 236743, 236778, 27370, 3730, 15689, 30056, 753, 236743, 236770, 8578, 30387, 189944, 568, 1708, 11609, 236768, 753, 236743, 236770, 236761, 236810, 27370, 25865, 24191, 2149, 43814, 568, 236753, 19636, 768, 61683, 236764, 653, 5756, 236768, 753, 236743, 236770, 8578, 96951, 25865, 12480, 653, 20411, 31454, 568, 31162, 6762, 236768, 753, 236743, 236770, 236786, 236778, 8578, 3826, 137974, 16510, 568, 504, 531, 11613, 236768, 753, 236743, 236770, 236786, 236812, 8578, 186666, 653, 25357, 92658, 753, 236743, 236770, 72881, 25671, 13950, 753, 236743, 236770, 236786, 236778, 72881, 142513, 753, 236743, 236770, 236778, 15689, 7597, 2357, 568, 177927, 528, 6962, 1813, 236768, 753, 30409, 156896, 653, 171177, 34267, 573, 70959, 36675, 55302, 50228, 568, 18373, 89644, 1473, 236743, 236770, 236761, 5213, 222561, 14629, 66515, 753, 70535, 3730, 15689, 30056, 236764, 30387, 189944, 236764, 25671, 13950, 236764, 532, 142513, 236761, 753, 4140, 186666, 532, 6921, 3097, 134480, 586, 568, 36713, 573, 236743, 236778, 236772, 236800, 1331, 531, 981, 3075, 769, 236743, 236778, 236761, 5213, 190533, 54567, 66515, 753, 55002, 24191, 2149, 43814, 568, 584, 2455, 236768, 532, 6921, 607, 3826, 137974, 16510, 532, 6762, 568, 584, 1699, 769, 753, 55630, 5026, 531, 9381, 506, 18728, 1131, 1944, 52912, 573, 3735, 2802, 236761, 236743, 236800, 236761, 5213, 27601, 10452, 66515, 753, 5213, 236814, 20733, 1593, 6750, 66515, 41152, 7597, 2357, 4196, 223575, 684, 39351, 1813, 618, 4354, 236761, 753, 5213, 97813, 616, 66515, 66599, 236743, 236778, 107072, 29169, 8990, 1546, 171177, 236764, 9542, 2557, 657, 506, 1903, 236761, 753, 5213, 25831, 616, 66515, 4140, 236743, 236770, 107072, 18728, 531, 506, 3988, 529, 1546, 29169, 4086, 236761, 753, 5213, 104106, 66515, 66948, 7597, 2357, 568, 989, 236772, 898, 236772, 3991, 236772, 7571, 236768, 532, 14806, 607, 156896, 236761, 236743, 236812, 236761, 5213, 117635, 51495, 66515, 753, 32726, 11583, 3051, 528, 68558, 568, 236800, 236771, 236772, 236812, 236771, 4310, 2558, 769, 55630, 5026, 531, 7020, 1813, 4535, 236761, 36675, 33879, 573, 21942, 236787, 753, 5213, 36286, 100857, 66515, 9996, 506, 29169, 532, 18728, 506, 3446, 1680, 531, 5383, 990, 236761, 753, 5213, 18373, 196457, 66515, 9274, 108723, 4252, 1651, 2844, 532, 1531, 1331, 96453, 910, 11583, 3051, 236761, 753, 5213, 150143, 66515, 58108, 607, 51854, 99369, 653, 111273, 569, 14329, 236748, 573, 496, 28239, 9009, 236761, 21284, 611, 1133, 100939, 573, 1027, 13153, 653, 30981, 573, 33901, 14523, 236881, 106, 107, 105, 4368, 107, 2094, 563, 496, 14853, 2731, 236888, 669, 11583, 3051, 15028, 532, 2434, 237237, 237496, 1385, 4011, 573, 2299, 13859, 236761, 5715, 659, 496, 2321, 4767, 11221, 532, 100939, 531, 5330, 2630, 236787, 108, 1018, 5096, 3069, 3474, 833, 35593, 1230, 53121, 107, 236772, 5213, 22297, 11125, 236772, 6796, 66515, 6890, 236743, 236770, 236771, 236771, 236908, 30387, 189944, 568, 1904, 3730, 15689, 30056, 236768, 653, 19743, 40772, 236772, 6796, 15689, 30056, 236761, 107, 236772, 5213, 181706, 66515, 44635, 186666, 607, 31255, 4446, 653, 28976, 92658, 236793, 68442, 12480, 236786, 21591, 31454, 653, 1161, 236743, 236770, 8578, 2764, 21556, 900, 236743, 236770, 8578, 44685, 15689, 618, 18728, 236761, 107, 236772, 5213, 1659, 36995, 5207, 24277, 66515, 1637, 47713, 236764, 22784, 607, 236743, 236770, 8578, 103853, 3826, 29979, 653, 152325, 4099, 17500, 568, 1708, 3361, 177219, 7595, 769, 108, 1018, 4153, 28811, 33879, 573, 46586, 54567, 53121, 107, 236770, 236761, 5213, 148539, 3502, 8356, 66515, 6890, 496, 27695, 37584, 607, 496, 2455, 2197, 900, 107059, 25883, 236793, 20151, 11583, 3051, 528, 40259, 768, 7597, 2357, 659, 47713, 236761, 107, 236778, 236761, 5213, 36286, 100857, 66515, 219328, 7597, 2357, 24602, 528, 496, 30927, 607, 8205, 37924, 531, 2514, 1091, 223575, 1913, 5203, 236761, 107, 236800, 236761, 5213, 18373, 89644, 66515, 55630, 496, 623, 73150, 3051, 22359, 236775, 531, 72384, 14510, 25725, 532, 496, 623, 91857, 1830, 26295, 236775, 531, 5330, 1813, 216958, 573, 506, 101603, 236761, 108, 1018, 150143, 59336, 526, 53121, 107, 3974, 872, 496, 623, 73150, 3051, 4244, 236775, 607, 105785, 1133, 236787, 107, 236772, 201752, 3826, 137974, 16510, 107, 236772, 24067, 991, 2604, 40641, 107, 236772, 7678, 38829, 116308, 66389, 107, 236772, 28776, 135616, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 912, 529, 672, 2731, 573, 33901, 14523, 653, 37386, 506, 14049, 1657, 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, 67981, 496, 26847, 20629, 1015, 3548, 1601, 31236, 506, 66431, 573, 910, 861, 1698, 8912, 236761, 2195, 7785, 609, 236810, 236771, 236764, 236771, 236771, 236771, 580, 2913, 532, 7009, 236764, 532, 7835, 609, 236832, 236810, 236764, 236771, 236771, 236771, 528, 10471, 236761, 3199, 611, 1161, 506, 9279, 236779, 100453, 5904, 531, 6054, 910, 994, 580, 6828, 10256, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100453, 236779, 45118, 1083, 236743, 236810, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 818, 26847, 236789, 236751, 9657, 580, 27269, 568, 135930, 236768, 573, 506, 1698, 8912, 563, 5213, 236810, 236771, 236908, 84750, 138, 108, 8291, 236789, 236751, 506, 25890, 236787, 138, 107, 236772, 20879, 6828, 236787, 609, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 34607, 7835, 236787, 609, 236832, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 66431, 6581, 236787, 21652, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 236842, 15666, 236743, 236770, 236771, 236771, 138, 107, 236772, 86249, 236787, 21652, 236832, 236810, 236764, 236771, 236771, 236771, 753, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236768, 965, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236842, 15666, 236743, 236770, 236771, 236771, 578, 5213, 236810, 236771, 236908, 1018, 138, 108, 2094, 2820, 506, 26847, 16531, 236743, 236810, 236771, 236908, 529, 910, 4068, 6828, 618, 9876, 236761, 21284, 611, 1133, 531, 11327, 1032, 19455, 653, 25521, 573, 19276, 3671, 236881, 106, 107, 105, 2364, 107, 818, 26847, 236789, 236751, 236743, 236810, 236771, 236908, 66431, 563, 5139, 236764, 840, 1531, 236789, 236751, 3137, 19276, 236761, 28344, 611, 110270, 606, 506, 66431, 768, 910, 10471, 1053, 1010, 609, 236819, 236771, 236764, 236771, 236771, 236771, 5205, 529, 609, 236832, 236810, 236764, 236771, 236771, 236771, 607, 506, 1638, 609, 236810, 236771, 236764, 236771, 236771, 236771, 6828, 236881, 564, 1461, 531, 1407, 1091, 1217, 56296, 10471, 18506, 7623, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100453, 1083, 236743, 236828, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 818, 10448, 9657, 580, 27269, 568, 135930, 236768, 607, 609, 236819, 236771, 236764, 236771, 236771, 236771, 528, 10471, 1093, 577, 5213, 236828, 236771, 236908, 84750, 138, 108, 10354, 166977, 236787, 107, 236772, 5213, 22995, 6828, 66515, 609, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 87093, 66515, 609, 236819, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 135930, 6581, 66515, 21652, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 236842, 15666, 236743, 236770, 236771, 236771, 138, 107, 236772, 5213, 120609, 66515, 21652, 236819, 236771, 236764, 236771, 236771, 236771, 753, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236768, 965, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236842, 15666, 236743, 236770, 236771, 236771, 578, 5213, 236828, 236771, 236908, 1018, 138, 108, 10354, 9533, 98964, 236787, 107, 2292, 5683, 10471, 699, 609, 236832, 236810, 236764, 236771, 236771, 236771, 531, 609, 236819, 236771, 236764, 236771, 236771, 236771, 568, 236746, 609, 236770, 236810, 236764, 236771, 236771, 236771, 12277, 779, 506, 66431, 23897, 699, 5213, 236810, 236771, 236908, 531, 236743, 236828, 236771, 236908, 1018, 237028, 236746, 5213, 236800, 236771, 10256, 236772, 3947, 3553, 84750, 1174, 29350, 1217, 56296, 10471, 740, 58670, 2295, 88866, 7623, 236764, 4285, 1056, 6530, 5384, 568, 5282, 506, 609, 236810, 236771, 236764, 236771, 236771, 236771, 6828, 236768, 4595, 34892, 236761, 138, 108, 38786, 611, 1133, 531, 2028, 1032, 25521, 568, 236744, 236761, 236759, 1126, 3715, 5384, 236764, 1607, 10471, 14989, 236768, 573, 3342, 3671, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2028, 496, 24968, 16613, 236761, 1637, 901, 4869, 910, 6828, 531, 609, 236832, 236810, 236764, 236771, 236771, 236771, 568, 1708, 15744, 7009, 236768, 532, 5524, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 528, 10471, 236764, 1144, 1093, 910, 66431, 577, 236881, 564, 1461, 531, 1407, 1217, 20688, 24968, 18506, 7623, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100453, 236779, 45118, 1083, 236743, 236770, 236771, 236771, 236761, 236771, 236764, 623, 154521, 1083, 33865, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 808, 236743, 236770, 236771, 236771, 827, 623, 15691, 236779, 76975, 1083, 236743, 236832, 236810, 236771, 236771, 236771, 236764, 623, 10218, 236779, 2394, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236764, 623, 17341, 1083, 236743, 236832, 236810, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 9657, 580, 27269, 568, 135930, 236768, 573, 672, 43042, 236772, 1048, 16613, 1093, 577, 5213, 236770, 236771, 236771, 236908, 84750, 138, 108, 10354, 166977, 236787, 107, 236772, 5213, 22995, 6828, 66515, 609, 236832, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 87093, 66515, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 109048, 66515, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 753, 609, 236832, 236810, 236764, 236771, 236771, 236771, 578, 5213, 236795, 236832, 236810, 236764, 236771, 236771, 236771, 1018, 138, 107, 236772, 5213, 135930, 6581, 66515, 21652, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 236842, 15666, 236743, 236770, 236771, 236771, 138, 107, 236772, 5213, 120609, 66515, 21652, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 753, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 236768, 965, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 236842, 15666, 236743, 236770, 236771, 236771, 578, 5213, 236770, 236771, 236771, 236908, 1018, 138, 108, 10354, 9533, 98964, 236787, 107, 4420, 6828, 532, 10471, 5559, 141349, 568, 236744, 236761, 236759, 1126, 57390, 1800, 5384, 532, 10471, 779, 506, 66431, 5213, 207280, 1018, 1547, 506, 9876, 23897, 6658, 531, 506, 4068, 128394, 236761, 799, 672, 1624, 236787, 138, 107, 236772, 34607, 13958, 5213, 236778, 236781, 1018, 6131, 236832, 236810, 236767, 16130, 609, 236770, 236810, 236771, 236767, 236768, 138, 107, 236772, 27269, 13958, 5213, 236770, 236761, 236810, 236781, 1018, 6131, 236810, 236771, 236767, 16130, 609, 236832, 236810, 236767, 236768, 138, 107, 236772, 66431, 32694, 699, 5213, 236810, 236771, 236908, 1018, 568, 5521, 1624, 236768, 531, 5213, 236770, 236771, 236771, 236908, 125546, 6807, 1217, 5225, 24968, 740, 88866, 7623, 236761, 138, 108, 2094, 20756, 506, 8020, 529, 5213, 11401, 24968, 1018, 237028, 584, 10471, 3877, 855, 69109, 2157, 8110, 236764, 66431, 29245, 33237, 236761, 21284, 611, 1133, 531, 1594, 25521, 1298, 24968, 38730, 87281, 7623, 653, 3715, 5384, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 67981, 496, 26847, 20629, 1015, 3548, 1601, 31236, 506, 66431, 573, 910, 861, 1698, 8912, 236761, 2195, 7785, 609, 236810, 236771, 236764, 236771, 236771, 236771, 580, 2913, 532, 7009, 236764, 532, 7835, 609, 236832, 236810, 236764, 236771, 236771, 236771, 528, 10471, 236761, 3199, 611, 1161, 506, 9279, 236779, 100453, 5904, 531, 6054, 910, 994, 580, 6828, 10256, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100453, 236779, 45118, 1083, 236743, 236810, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 818, 26847, 236789, 236751, 9657, 580, 27269, 568, 135930, 236768, 573, 506, 1698, 8912, 563, 5213, 236810, 236771, 236908, 84750, 138, 108, 8291, 236789, 236751, 506, 25890, 236787, 138, 107, 236772, 20879, 6828, 236787, 609, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 34607, 7835, 236787, 609, 236832, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 66431, 6581, 236787, 21652, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 236842, 15666, 236743, 236770, 236771, 236771, 138, 107, 236772, 86249, 236787, 21652, 236832, 236810, 236764, 236771, 236771, 236771, 753, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236768, 965, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236842, 15666, 236743, 236770, 236771, 236771, 578, 5213, 236810, 236771, 236908, 1018, 138, 108, 2094, 2820, 506, 26847, 16531, 236743, 236810, 236771, 236908, 529, 910, 4068, 6828, 618, 9876, 236761, 21284, 611, 1133, 531, 11327, 1032, 19455, 653, 25521, 573, 19276, 3671, 236881, 106, 107, 105, 2364, 107, 818, 26847, 236789, 236751, 236743, 236810, 236771, 236908, 66431, 563, 5139, 236764, 840, 1531, 236789, 236751, 3137, 19276, 236761, 28344, 611, 110270, 606, 506, 66431, 768, 910, 10471, 1053, 1010, 609, 236819, 236771, 236764, 236771, 236771, 236771, 5205, 529, 609, 236832, 236810, 236764, 236771, 236771, 236771, 607, 506, 1638, 609, 236810, 236771, 236764, 236771, 236771, 236771, 6828, 236881, 564, 1461, 531, 1407, 1091, 1217, 56296, 10471, 18506, 7623, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100453, 1083, 236743, 236828, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 818, 10448, 9657, 580, 27269, 568, 135930, 236768, 607, 609, 236819, 236771, 236764, 236771, 236771, 236771, 528, 10471, 1093, 577, 5213, 236828, 236771, 236908, 84750, 138, 108, 10354, 166977, 236787, 107, 236772, 5213, 22995, 6828, 66515, 609, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 87093, 66515, 609, 236819, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 135930, 6581, 66515, 21652, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 236842, 15666, 236743, 236770, 236771, 236771, 138, 107, 236772, 5213, 120609, 66515, 21652, 236819, 236771, 236764, 236771, 236771, 236771, 753, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236768, 965, 236743, 236810, 236771, 236764, 236771, 236771, 236771, 236842, 15666, 236743, 236770, 236771, 236771, 578, 5213, 236828, 236771, 236908, 1018, 138, 108, 10354, 9533, 98964, 236787, 107, 2292, 5683, 10471, 699, 609, 236832, 236810, 236764, 236771, 236771, 236771, 531, 609, 236819, 236771, 236764, 236771, 236771, 236771, 568, 236746, 609, 236770, 236810, 236764, 236771, 236771, 236771, 12277, 779, 506, 66431, 23897, 699, 5213, 236810, 236771, 236908, 531, 236743, 236828, 236771, 236908, 1018, 237028, 236746, 5213, 236800, 236771, 10256, 236772, 3947, 3553, 84750, 1174, 29350, 1217, 56296, 10471, 740, 58670, 2295, 88866, 7623, 236764, 4285, 1056, 6530, 5384, 568, 5282, 506, 609, 236810, 236771, 236764, 236771, 236771, 236771, 6828, 236768, 4595, 34892, 236761, 138, 108, 38786, 611, 1133, 531, 2028, 1032, 25521, 568, 236744, 236761, 236759, 1126, 3715, 5384, 236764, 1607, 10471, 14989, 236768, 573, 3342, 3671, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2028, 496, 24968, 16613, 236761, 1637, 901, 4869, 910, 6828, 531, 609, 236832, 236810, 236764, 236771, 236771, 236771, 568, 1708, 15744, 7009, 236768, 532, 5524, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 528, 10471, 236764, 1144, 1093, 910, 66431, 577, 236881, 564, 1461, 531, 1407, 1217, 20688, 24968, 18506, 7623, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100453, 236779, 45118, 1083, 236743, 236770, 236771, 236771, 236761, 236771, 236764, 623, 154521, 1083, 33865, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 808, 236743, 236770, 236771, 236771, 827, 623, 15691, 236779, 76975, 1083, 236743, 236832, 236810, 236771, 236771, 236771, 236764, 623, 10218, 236779, 2394, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236764, 623, 17341, 1083, 236743, 236832, 236810, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 9657, 580, 27269, 568, 135930, 236768, 573, 672, 43042, 236772, 1048, 16613, 1093, 577, 5213, 236770, 236771, 236771, 236908, 84750, 138, 108, 10354, 166977, 236787, 107, 236772, 5213, 22995, 6828, 66515, 609, 236832, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 87093, 66515, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 109048, 66515, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 753, 609, 236832, 236810, 236764, 236771, 236771, 236771, 578, 5213, 236795, 236832, 236810, 236764, 236771, 236771, 236771, 1018, 138, 107, 236772, 5213, 135930, 6581, 66515, 21652, 17667, 12155, 753, 20879, 27269, 236768, 965, 20879, 27269, 236842, 15666, 236743, 236770, 236771, 236771, 138, 107, 236772, 5213, 120609, 66515, 21652, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 753, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 236768, 965, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 236842, 15666, 236743, 236770, 236771, 236771, 578, 5213, 236770, 236771, 236771, 236908, 1018, 138, 108, 10354, 9533, 98964, 236787, 107, 4420, 6828, 532, 10471, 5559, 141349, 568, 236744, 236761, 236759, 1126, 57390, 1800, 5384, 532, 10471, 779, 506, 66431, 5213, 207280, 1018, 1547, 506, 9876, 23897, 6658, 531, 506, 4068, 128394, 236761, 799, 672, 1624, 236787, 138, 107, 236772, 34607, 13958, 5213, 236778, 236781, 1018, 6131, 236832, 236810, 236767, 16130, 609, 236770, 236810, 236771, 236767, 236768, 138, 107, 236772, 27269, 13958, 5213, 236770, 236761, 236810, 236781, 1018, 6131, 236810, 236771, 236767, 16130, 609, 236832, 236810, 236767, 236768, 138, 107, 236772, 66431, 32694, 699, 5213, 236810, 236771, 236908, 1018, 568, 5521, 1624, 236768, 531, 5213, 236770, 236771, 236771, 236908, 125546, 6807, 1217, 5225, 24968, 740, 88866, 7623, 236761, 138, 108, 2094, 20756, 506, 8020, 529, 5213, 11401, 24968, 1018, 237028, 584, 10471, 3877, 855, 69109, 2157, 8110, 236764, 66431, 29245, 33237, 236761, 21284, 611, 1133, 531, 1594, 25521, 1298, 24968, 38730, 87281, 7623, 653, 3715, 5384, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 861, 15491, 7200, 532, 1202, 531, 2426, 768, 756, 15917, 119653, 236789, 563, 2487, 618, 496, 15345, 236761, 1637, 625, 563, 236764, 2426, 768, 506, 8610, 756, 15917, 119653, 236761, 854, 236789, 563, 2487, 573, 15020, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 15917, 119653, 236761, 854, 827, 623, 18700, 1083, 1847, 236764, 623, 204441, 1083, 2303, 236764, 623, 33382, 236779, 1896, 1083, 2303, 236764, 623, 111977, 236779, 1896, 1083, 2303, 236764, 623, 4818, 1083, 623, 21550, 25938, 106, 107, 105, 4368, 107, 818, 15345, 5213, 15917, 119653, 1018, 563, 2487, 573, 15020, 236761, 138, 107, 47622, 236764, 506, 8610, 5213, 15917, 119653, 236761, 854, 1018, 563, 992, 2487, 573, 15020, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 7162, 607, 62317, 3477, 653, 1800, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 861, 15491, 7200, 532, 1202, 531, 2426, 768, 756, 15917, 119653, 236789, 563, 2487, 618, 496, 15345, 236761, 1637, 625, 563, 236764, 2426, 768, 506, 8610, 756, 15917, 119653, 236761, 854, 236789, 563, 2487, 573, 15020, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18700, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 15917, 119653, 236761, 854, 827, 623, 18700, 1083, 1847, 236764, 623, 204441, 1083, 2303, 236764, 623, 33382, 236779, 1896, 1083, 2303, 236764, 623, 111977, 236779, 1896, 1083, 2303, 236764, 623, 4818, 1083, 623, 21550, 25938, 106, 107, 105, 4368, 107, 818, 15345, 5213, 15917, 119653, 1018, 563, 2487, 573, 15020, 236761, 138, 107, 47622, 236764, 506, 8610, 5213, 15917, 119653, 236761, 854, 1018, 563, 992, 2487, 573, 15020, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 7162, 607, 62317, 3477, 653, 1800, 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, 11337, 4030, 855, 496, 10670, 531, 2890, 506, 5384, 529, 496, 214531, 22902, 1948, 236764, 837, 1093, 2157, 609, 236770, 236771, 236764, 236771, 236771, 236771, 82425, 236761, 669, 10670, 815, 614, 7384, 2142, 3136, 529, 236743, 236810, 10014, 532, 564, 1461, 531, 2350, 625, 1135, 1024, 236743, 236800, 1518, 607, 13822, 13192, 236761, 3199, 611, 9279, 1144, 1041, 13822, 7548, 1093, 577, 236881, 564, 1751, 506, 2142, 12046, 13822, 236764, 840, 564, 236858, 236757, 711, 11716, 2889, 1217, 600, 19375, 506, 14988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236778, 236819, 236819, 236761, 236832, 236770, 236783, 106, 107, 105, 4368, 107, 11069, 13822, 7548, 573, 506, 609, 236770, 236771, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1024, 236743, 236800, 1518, 607, 13822, 40009, 1093, 577, 5213, 236795, 236778, 236819, 236819, 236761, 236832, 236770, 84750, 1174, 2886, 13526, 1800, 7647, 532, 2142, 236764, 17096, 506, 10670, 563, 6340, 6382, 1135, 528, 236743, 236800, 236825, 3794, 236761, 236743, 108, 10354, 166977, 236787, 107, 236772, 5213, 48000, 66515, 609, 236770, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 96579, 21632, 25870, 66515, 236743, 236810, 236908, 965, 236743, 236770, 236778, 67081, 236743, 236771, 236761, 236812, 236770, 236825, 236832, 236908, 138, 107, 236772, 5213, 4452, 529, 64848, 66515, 236743, 236800, 1518, 15666, 236743, 236770, 236778, 3794, 578, 236743, 236800, 236825, 13192, 138, 108, 818, 40009, 7132, 568, 71832, 236768, 22606, 600, 2142, 563, 9255, 532, 6055, 531, 506, 9866, 7647, 1546, 2297, 236764, 837, 8427, 17707, 506, 2558, 2142, 6382, 5483, 531, 2344, 17597, 40009, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 4030, 855, 496, 10670, 531, 2890, 506, 5384, 529, 496, 214531, 22902, 1948, 236764, 837, 1093, 2157, 609, 236770, 236771, 236764, 236771, 236771, 236771, 82425, 236761, 669, 10670, 815, 614, 7384, 2142, 3136, 529, 236743, 236810, 10014, 532, 564, 1461, 531, 2350, 625, 1135, 1024, 236743, 236800, 1518, 607, 13822, 13192, 236761, 3199, 611, 9279, 1144, 1041, 13822, 7548, 1093, 577, 236881, 564, 1751, 506, 2142, 12046, 13822, 236764, 840, 564, 236858, 236757, 711, 11716, 2889, 1217, 600, 19375, 506, 14988, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236778, 236819, 236819, 236761, 236832, 236770, 236783, 106, 107, 105, 4368, 107, 11069, 13822, 7548, 573, 506, 609, 236770, 236771, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236810, 236908, 7384, 2142, 1024, 236743, 236800, 1518, 607, 13822, 40009, 1093, 577, 5213, 236795, 236778, 236819, 236819, 236761, 236832, 236770, 84750, 1174, 2886, 13526, 1800, 7647, 532, 2142, 236764, 17096, 506, 10670, 563, 6340, 6382, 1135, 528, 236743, 236800, 236825, 3794, 236761, 236743, 108, 10354, 166977, 236787, 107, 236772, 5213, 48000, 66515, 609, 236770, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 96579, 21632, 25870, 66515, 236743, 236810, 236908, 965, 236743, 236770, 236778, 67081, 236743, 236771, 236761, 236812, 236770, 236825, 236832, 236908, 138, 107, 236772, 5213, 4452, 529, 64848, 66515, 236743, 236800, 1518, 15666, 236743, 236770, 236778, 3794, 578, 236743, 236800, 236825, 13192, 138, 108, 818, 40009, 7132, 568, 71832, 236768, 22606, 600, 2142, 563, 9255, 532, 6055, 531, 506, 9866, 7647, 1546, 2297, 236764, 837, 8427, 17707, 506, 2558, 2142, 6382, 5483, 531, 2344, 17597, 40009, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 3517, 1070, 4690, 528, 1607, 4808, 532, 1202, 531, 2426, 506, 4301, 14523, 573, 7203, 236764, 506, 6322, 236764, 532, 13251, 236761, 3199, 611, 1601, 786, 5811, 855, 1144, 506, 6035, 659, 573, 1546, 236881, 564, 1461, 531, 1386, 2889, 564, 735, 784, 506, 4127, 9413, 532, 3050, 1027, 40928, 6366, 1680, 564, 2260, 1041, 22344, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 4301, 14523, 573, 7203, 236764, 506, 6322, 236764, 532, 13251, 236764, 564, 236789, 859, 1202, 1070, 4767, 4889, 531, 2847, 11459, 1938, 236787, 108, 236770, 236761, 5180, 5213, 47435, 2891, 1018, 568, 236744, 236761, 236759, 1126, 623, 3118, 827, 623, 22258, 827, 623, 1204, 1373, 138, 107, 236778, 236761, 5180, 5213, 113130, 2891, 1018, 568, 3350, 611, 236789, 500, 18154, 699, 236764, 545, 236761, 236759, 1126, 623, 3118, 827, 623, 22258, 1373, 138, 107, 236800, 236761, 5180, 5213, 72156, 2143, 4981, 1018, 568, 3846, 42127, 653, 711, 236768, 138, 108, 30092, 611, 4024, 672, 1938, 236881, 1030, 795, 1601, 786, 33205, 506, 3530, 7234, 6035, 236764, 40928, 6366, 236764, 532, 13049, 4354, 573, 1546, 12892, 236761, 106, 107, 105, 2364, 107, 4754, 34558, 2891, 563, 506, 3640, 4184, 568, 3118, 779, 532, 564, 236789, 859, 577, 75389, 699, 506, 2590, 236761, 564, 236789, 236757, 6340, 42127, 236761, 3792, 786, 1281, 1144, 506, 6035, 659, 573, 1546, 529, 1724, 1806, 4808, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 1071, 236779, 11208, 1083, 623, 5635, 827, 623, 8482, 236779, 81521, 1083, 623, 3118, 11838, 607, 4341, 34558, 6208, 236761, 64382, 42127, 39393, 30471, 699, 7257, 6035, 10498, 623, 576, 34383, 236779, 27590, 1083, 623, 3771, 27979, 40928, 573, 42127, 39393, 32643, 699, 506, 3640, 4184, 10498, 623, 52078, 236779, 91180, 1083, 623, 13280, 34558, 236764, 7724, 529, 30604, 568, 77616, 3733, 653, 5177, 4865, 779, 532, 877, 236772, 46353, 31915, 25130, 4323, 1572, 6333, 43053, 850, 3149, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 27211, 15305, 568, 8242, 22730, 623, 8482, 236779, 81521, 1083, 3714, 110894, 236779, 52796, 1083, 2416, 236764, 623, 72156, 2143, 236779, 11958, 1083, 623, 23520, 573, 39393, 699, 1908, 236772, 1192, 1694, 4808, 827, 623, 1734, 236779, 113130, 236779, 2181, 1083, 623, 63702, 32139, 1594, 2351, 236743, 236832, 236778, 3885, 3149, 827, 623, 16602, 236779, 163688, 1083, 623, 79572, 3994, 20985, 104787, 1183, 23179, 623, 576, 34383, 236779, 27590, 1083, 3714, 3846, 236779, 137953, 1083, 3714, 1508, 236779, 127037, 1083, 2416, 236764, 623, 3274, 236779, 46353, 236779, 2181, 1083, 623, 13265, 236743, 236778, 1594, 3149, 23179, 623, 602, 137953, 1083, 3714, 1508, 236779, 127037, 1083, 623, 236770, 236771, 2668, 827, 623, 3274, 236779, 46353, 236779, 29429, 1083, 11058, 13265, 236743, 236778, 827, 623, 13265, 236743, 236828, 1935, 5237, 623, 7565, 236779, 81521, 1083, 11058, 13280, 34558, 827, 623, 102145, 688, 16821, 568, 36661, 653, 3627, 22730, 623, 14476, 529, 22162, 827, 623, 13293, 10224, 76717, 14255, 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, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 11208, 236779, 3970, 1083, 623, 20074, 827, 623, 8482, 236779, 81521, 1083, 3714, 47435, 236779, 15979, 1083, 1847, 236764, 623, 110894, 236779, 15979, 1083, 2416, 236764, 623, 72156, 2143, 236779, 11958, 236779, 15979, 1083, 1847, 236764, 623, 27851, 236779, 2181, 236779, 15979, 1083, 2416, 1263, 623, 576, 34383, 236779, 27590, 1083, 3714, 179081, 236779, 576, 34383, 1083, 2416, 236764, 623, 576, 34383, 236779, 19001, 1083, 236743, 236771, 236764, 623, 130992, 878, 1083, 11058, 123889, 42127, 39393, 152254, 623, 52078, 1083, 3714, 15979, 236779, 60307, 1083, 11058, 185334, 827, 623, 102145, 2143, 16821, 14255, 623, 33686, 236779, 23184, 1083, 623, 44410, 616, 1921, 4133, 614, 34126, 1183, 568, 3045, 236746, 25996, 23377, 722, 236768, 3324, 16257, 221476, 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, 8291, 236858, 236751, 506, 9813, 25890, 573, 1546, 2891, 2721, 580, 822, 8781, 568, 3118, 34558, 236764, 75389, 699, 506, 2590, 236764, 6340, 42127, 1473, 108, 7243, 108, 10354, 5213, 44567, 568, 5635, 62902, 107, 236772, 5213, 10356, 33197, 66515, 138, 107, 138, 236772, 30638, 2590, 34558, 3149, 236761, 138, 107, 138, 236772, 2301, 877, 236772, 113130, 7257, 3149, 568, 3846, 42127, 769, 138, 107, 236772, 5213, 3285, 34383, 27429, 66515, 138, 107, 138, 236772, 2301, 27979, 40928, 236761, 138, 107, 236772, 5213, 93496, 66515, 138, 107, 138, 236772, 36643, 529, 30604, 568, 77616, 3733, 653, 5177, 4865, 769, 138, 107, 138, 236772, 3946, 236772, 46353, 31915, 25130, 4323, 506, 5213, 2023, 6333, 43053, 850, 1018, 568, 179081, 769, 138, 108, 7243, 108, 10354, 5213, 27211, 15305, 568, 8242, 62902, 107, 236772, 5213, 10356, 33197, 66515, 138, 107, 138, 236772, 30638, 34558, 3149, 236761, 138, 107, 138, 236772, 5213, 63702, 32139, 1594, 2351, 236743, 236832, 236778, 3885, 1018, 529, 27197, 3149, 236761, 138, 107, 138, 236772, 36643, 529, 30604, 568, 36661, 653, 3627, 769, 138, 107, 138, 236772, 199432, 5213, 103570, 104787, 1183, 1018, 13450, 1680, 16257, 236761, 138, 107, 236772, 5213, 3285, 34383, 27429, 66515, 138, 107, 138, 236772, 2301, 1265, 236772, 127037, 573, 6340, 42127, 39393, 236761, 138, 107, 138, 236772, 5213, 13265, 236743, 236778, 1868, 236772, 46353, 32139, 1594, 1018, 3149, 236761, 138, 107, 236772, 5213, 93496, 66515, 138, 107, 138, 236772, 36643, 529, 22162, 236761, 138, 107, 138, 236772, 9657, 10224, 76717, 236761, 138, 108, 7243, 108, 10354, 5213, 85226, 568, 20074, 62902, 107, 236772, 5213, 10356, 33197, 66515, 138, 107, 138, 236772, 30638, 2590, 34558, 3149, 236761, 138, 107, 138, 236772, 36643, 529, 30604, 3149, 236761, 138, 107, 138, 236772, 2301, 877, 236772, 113130, 7257, 3149, 236761, 138, 107, 236772, 5213, 3285, 34383, 27429, 66515, 138, 107, 138, 236772, 2301, 27979, 40928, 573, 6340, 42127, 39393, 236761, 138, 107, 236772, 5213, 93496, 66515, 138, 107, 138, 236772, 26158, 614, 5213, 203249, 1183, 568, 3045, 236746, 25996, 23377, 722, 62902, 3324, 16257, 236761, 138, 107, 138, 236772, 36643, 529, 30604, 1921, 577, 7505, 236761, 138, 108, 7243, 108, 10354, 5213, 3503, 24118, 1018, 107, 236772, 2343, 1806, 4808, 2174, 7234, 573, 6340, 42127, 2590, 39393, 607, 11893, 14523, 236761, 138, 107, 236772, 7203, 532, 506, 6322, 1660, 4767, 5177, 236786, 23557, 53241, 167043, 2023, 6333, 43053, 1018, 532, 5213, 103570, 104787, 1183, 125546, 6619, 769, 138, 107, 236772, 13251, 236858, 236751, 6035, 659, 506, 1346, 187931, 236764, 840, 5330, 611, 5727, 855, 506, 34126, 1183, 580, 16257, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 3517, 1070, 4690, 528, 1607, 4808, 532, 1202, 531, 2426, 506, 4301, 14523, 573, 7203, 236764, 506, 6322, 236764, 532, 13251, 236761, 3199, 611, 1601, 786, 5811, 855, 1144, 506, 6035, 659, 573, 1546, 236881, 564, 1461, 531, 1386, 2889, 564, 735, 784, 506, 4127, 9413, 532, 3050, 1027, 40928, 6366, 1680, 564, 2260, 1041, 22344, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 4301, 14523, 573, 7203, 236764, 506, 6322, 236764, 532, 13251, 236764, 564, 236789, 859, 1202, 1070, 4767, 4889, 531, 2847, 11459, 1938, 236787, 108, 236770, 236761, 5180, 5213, 47435, 2891, 1018, 568, 236744, 236761, 236759, 1126, 623, 3118, 827, 623, 22258, 827, 623, 1204, 1373, 138, 107, 236778, 236761, 5180, 5213, 113130, 2891, 1018, 568, 3350, 611, 236789, 500, 18154, 699, 236764, 545, 236761, 236759, 1126, 623, 3118, 827, 623, 22258, 1373, 138, 107, 236800, 236761, 5180, 5213, 72156, 2143, 4981, 1018, 568, 3846, 42127, 653, 711, 236768, 138, 108, 30092, 611, 4024, 672, 1938, 236881, 1030, 795, 1601, 786, 33205, 506, 3530, 7234, 6035, 236764, 40928, 6366, 236764, 532, 13049, 4354, 573, 1546, 12892, 236761, 106, 107, 105, 2364, 107, 4754, 34558, 2891, 563, 506, 3640, 4184, 568, 3118, 779, 532, 564, 236789, 859, 577, 75389, 699, 506, 2590, 236761, 564, 236789, 236757, 6340, 42127, 236761, 3792, 786, 1281, 1144, 506, 6035, 659, 573, 1546, 529, 1724, 1806, 4808, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 1071, 236779, 11208, 1083, 623, 5635, 827, 623, 8482, 236779, 81521, 1083, 623, 3118, 11838, 607, 4341, 34558, 6208, 236761, 64382, 42127, 39393, 30471, 699, 7257, 6035, 10498, 623, 576, 34383, 236779, 27590, 1083, 623, 3771, 27979, 40928, 573, 42127, 39393, 32643, 699, 506, 3640, 4184, 10498, 623, 52078, 236779, 91180, 1083, 623, 13280, 34558, 236764, 7724, 529, 30604, 568, 77616, 3733, 653, 5177, 4865, 779, 532, 877, 236772, 46353, 31915, 25130, 4323, 1572, 6333, 43053, 850, 3149, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 27211, 15305, 568, 8242, 22730, 623, 8482, 236779, 81521, 1083, 3714, 110894, 236779, 52796, 1083, 2416, 236764, 623, 72156, 2143, 236779, 11958, 1083, 623, 23520, 573, 39393, 699, 1908, 236772, 1192, 1694, 4808, 827, 623, 1734, 236779, 113130, 236779, 2181, 1083, 623, 63702, 32139, 1594, 2351, 236743, 236832, 236778, 3885, 3149, 827, 623, 16602, 236779, 163688, 1083, 623, 79572, 3994, 20985, 104787, 1183, 23179, 623, 576, 34383, 236779, 27590, 1083, 3714, 3846, 236779, 137953, 1083, 3714, 1508, 236779, 127037, 1083, 2416, 236764, 623, 3274, 236779, 46353, 236779, 2181, 1083, 623, 13265, 236743, 236778, 1594, 3149, 23179, 623, 602, 137953, 1083, 3714, 1508, 236779, 127037, 1083, 623, 236770, 236771, 2668, 827, 623, 3274, 236779, 46353, 236779, 29429, 1083, 11058, 13265, 236743, 236778, 827, 623, 13265, 236743, 236828, 1935, 5237, 623, 7565, 236779, 81521, 1083, 11058, 13280, 34558, 827, 623, 102145, 688, 16821, 568, 36661, 653, 3627, 22730, 623, 14476, 529, 22162, 827, 623, 13293, 10224, 76717, 14255, 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, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 11208, 236779, 3970, 1083, 623, 20074, 827, 623, 8482, 236779, 81521, 1083, 3714, 47435, 236779, 15979, 1083, 1847, 236764, 623, 110894, 236779, 15979, 1083, 2416, 236764, 623, 72156, 2143, 236779, 11958, 236779, 15979, 1083, 1847, 236764, 623, 27851, 236779, 2181, 236779, 15979, 1083, 2416, 1263, 623, 576, 34383, 236779, 27590, 1083, 3714, 179081, 236779, 576, 34383, 1083, 2416, 236764, 623, 576, 34383, 236779, 19001, 1083, 236743, 236771, 236764, 623, 130992, 878, 1083, 11058, 123889, 42127, 39393, 152254, 623, 52078, 1083, 3714, 15979, 236779, 60307, 1083, 11058, 185334, 827, 623, 102145, 2143, 16821, 14255, 623, 33686, 236779, 23184, 1083, 623, 44410, 616, 1921, 4133, 614, 34126, 1183, 568, 3045, 236746, 25996, 23377, 722, 236768, 3324, 16257, 221476, 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, 8291, 236858, 236751, 506, 9813, 25890, 573, 1546, 2891, 2721, 580, 822, 8781, 568, 3118, 34558, 236764, 75389, 699, 506, 2590, 236764, 6340, 42127, 1473, 108, 7243, 108, 10354, 5213, 44567, 568, 5635, 62902, 107, 236772, 5213, 10356, 33197, 66515, 138, 107, 138, 236772, 30638, 2590, 34558, 3149, 236761, 138, 107, 138, 236772, 2301, 877, 236772, 113130, 7257, 3149, 568, 3846, 42127, 769, 138, 107, 236772, 5213, 3285, 34383, 27429, 66515, 138, 107, 138, 236772, 2301, 27979, 40928, 236761, 138, 107, 236772, 5213, 93496, 66515, 138, 107, 138, 236772, 36643, 529, 30604, 568, 77616, 3733, 653, 5177, 4865, 769, 138, 107, 138, 236772, 3946, 236772, 46353, 31915, 25130, 4323, 506, 5213, 2023, 6333, 43053, 850, 1018, 568, 179081, 769, 138, 108, 7243, 108, 10354, 5213, 27211, 15305, 568, 8242, 62902, 107, 236772, 5213, 10356, 33197, 66515, 138, 107, 138, 236772, 30638, 34558, 3149, 236761, 138, 107, 138, 236772, 5213, 63702, 32139, 1594, 2351, 236743, 236832, 236778, 3885, 1018, 529, 27197, 3149, 236761, 138, 107, 138, 236772, 36643, 529, 30604, 568, 36661, 653, 3627, 769, 138, 107, 138, 236772, 199432, 5213, 103570, 104787, 1183, 1018, 13450, 1680, 16257, 236761, 138, 107, 236772, 5213, 3285, 34383, 27429, 66515, 138, 107, 138, 236772, 2301, 1265, 236772, 127037, 573, 6340, 42127, 39393, 236761, 138, 107, 138, 236772, 5213, 13265, 236743, 236778, 1868, 236772, 46353, 32139, 1594, 1018, 3149, 236761, 138, 107, 236772, 5213, 93496, 66515, 138, 107, 138, 236772, 36643, 529, 22162, 236761, 138, 107, 138, 236772, 9657, 10224, 76717, 236761, 138, 108, 7243, 108, 10354, 5213, 85226, 568, 20074, 62902, 107, 236772, 5213, 10356, 33197, 66515, 138, 107, 138, 236772, 30638, 2590, 34558, 3149, 236761, 138, 107, 138, 236772, 36643, 529, 30604, 3149, 236761, 138, 107, 138, 236772, 2301, 877, 236772, 113130, 7257, 3149, 236761, 138, 107, 236772, 5213, 3285, 34383, 27429, 66515, 138, 107, 138, 236772, 2301, 27979, 40928, 573, 6340, 42127, 39393, 236761, 138, 107, 236772, 5213, 93496, 66515, 138, 107, 138, 236772, 26158, 614, 5213, 203249, 1183, 568, 3045, 236746, 25996, 23377, 722, 62902, 3324, 16257, 236761, 138, 107, 138, 236772, 36643, 529, 30604, 1921, 577, 7505, 236761, 138, 108, 7243, 108, 10354, 5213, 3503, 24118, 1018, 107, 236772, 2343, 1806, 4808, 2174, 7234, 573, 6340, 42127, 2590, 39393, 607, 11893, 14523, 236761, 138, 107, 236772, 7203, 532, 506, 6322, 1660, 4767, 5177, 236786, 23557, 53241, 167043, 2023, 6333, 43053, 1018, 532, 5213, 103570, 104787, 1183, 125546, 6619, 769, 138, 107, 236772, 13251, 236858, 236751, 6035, 659, 506, 1346, 187931, 236764, 840, 5330, 611, 5727, 855, 506, 34126, 1183, 580, 16257, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 1599, 1281, 1217, 692, 236789, 500, 2462, 2056, 495, 236789, 531, 2514, 872, 607, 506, 6524, 15067, 657, 506, 4762, 236881, 2085, 236789, 236751, 672, 861, 120701, 25021, 600, 496, 2321, 5103, 735, 1010, 2679, 495, 236789, 1003, 753, 756, 46797, 236789, 236751, 56846, 37330, 2797, 87078, 114712, 236789, 531, 577, 3530, 236761, 28344, 611, 2426, 768, 625, 236789, 236751, 2487, 1343, 1023, 66963, 236881, 564, 236789, 236753, 2765, 531, 2247, 528, 614, 1900, 768, 625, 236789, 236751, 528, 2862, 236761, 7062, 236764, 532, 1651, 611, 236789, 500, 657, 625, 236764, 1451, 611, 2426, 506, 63404, 1527, 573, 496, 12284, 529, 1041, 132419, 3789, 15028, 236881, 3551, 12198, 236789, 236751, 1010, 580, 496, 2404, 12261, 532, 15033, 56400, 495, 236789, 786, 531, 118544, 625, 872, 236764, 840, 564, 1537, 236789, 236745, 1461, 531, 42711, 506, 2523, 14385, 236888, 106, 107, 105, 4368, 107, 2021, 6361, 611, 11974, 236787, 108, 236770, 236761, 5213, 2542, 506, 120701, 25021, 15830, 66515, 564, 236789, 859, 1202, 506, 3530, 5213, 5930, 5853, 1018, 529, 623, 46797, 236789, 236751, 56846, 37330, 2797, 87078, 114712, 236775, 531, 2426, 50386, 2862, 1699, 506, 2165, 4256, 236779, 56905, 236929, 5904, 236761, 28344, 611, 2847, 672, 5853, 236881, 108, 236778, 236761, 5213, 2542, 506, 132419, 3789, 63404, 1527, 66515, 20044, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 62577, 15028, 236772, 15396, 63404, 18558, 236761, 669, 2165, 30718, 236779, 32320, 236779, 182461, 236779, 720, 873, 236929, 5904, 1186, 14287, 6376, 3548, 2721, 580, 3577, 19455, 568, 676, 236764, 3825, 236764, 4044, 12885, 711, 15028, 13153, 236761, 1599, 236858, 236753, 1202, 496, 15028, 72217, 653, 9813, 31831, 25890, 573, 614, 11459, 1527, 236761, 236743, 108, 6481, 786, 1281, 506, 1698, 5853, 236764, 532, 564, 236858, 859, 2426, 506, 25021, 236858, 236751, 15830, 236888, 236743, 248265, 106, 107, 105, 2364, 107, 13086, 236764, 564, 1537, 236789, 236745, 735, 600, 28149, 1698, 5853, 31380, 236764, 840, 506, 50386, 236789, 236751, 23191, 1548, 573, 506, 120701, 25021, 563, 22869, 236772, 3692, 236772, 10524, 40257, 236776, 236772, 236770, 236778, 236761, 3792, 236789, 236751, 1161, 600, 236888, 1452, 573, 506, 132419, 3789, 753, 1590, 236789, 236751, 1041, 15028, 4889, 236787, 236743, 236800, 27370, 153077, 568, 236770, 8578, 61006, 573, 70013, 779, 236743, 236770, 8578, 15689, 47169, 236764, 236743, 236800, 236786, 236812, 8578, 9792, 236764, 236743, 236800, 14318, 236764, 236743, 236778, 107072, 11018, 236764, 236743, 236770, 72881, 37675, 236761, 55062, 236743, 236828, 105565, 236761, 82005, 692, 740, 9279, 29304, 699, 672, 236881, 3551, 40135, 236789, 236751, 9148, 563, 2148, 2297, 532, 901, 1461, 35677, 8283, 573, 506, 6831, 8651, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 16014, 236772, 3692, 236772, 10524, 40257, 236776, 236772, 236770, 236778, 827, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 18700, 236779, 22111, 1083, 236743, 236770, 236812, 236778, 236764, 623, 4506, 945, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 32320, 236779, 182461, 236779, 720, 873, 1083, 236743, 236778, 236778, 236810, 236771, 236764, 623, 6805, 1083, 623, 77874, 827, 623, 7284, 3843, 1083, 3714, 56874, 1083, 623, 236770, 236812, 236771, 236759, 827, 623, 4554, 33229, 14473, 1083, 623, 236800, 236778, 236771, 236759, 827, 623, 236760, 2139, 1083, 623, 236832, 236810, 236759, 23179, 623, 14210, 1083, 623, 22515, 580, 142278, 236772, 894, 6735, 504, 4901, 573, 51641, 5158, 24864, 25938, 106, 107, 105, 4368, 107, 818, 120701, 25021, 568, 44095, 997, 16014, 236772, 3692, 236772, 10524, 40257, 236776, 236772, 236770, 236778, 236768, 563, 5213, 495, 2862, 1018, 607, 236743, 236770, 236812, 236778, 6630, 2487, 236764, 2148, 1884, 945, 14812, 573, 6243, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 108, 2542, 822, 132419, 3789, 15028, 568, 236828, 105565, 2558, 1473, 138, 107, 195096, 5213, 3771, 1982, 5904, 7519, 1018, 573, 15028, 63404, 15621, 236761, 669, 2165, 30718, 236779, 32320, 236779, 182461, 236779, 720, 873, 236929, 5904, 1186, 14287, 6376, 3548, 2721, 580, 3577, 19455, 568, 236744, 236761, 236759, 1126, 3911, 236764, 3825, 779, 711, 15028, 13153, 236761, 236743, 108, 1018, 9272, 6555, 66515, 138, 107, 236770, 236761, 6890, 496, 18073, 7948, 568, 5282, 72304, 10353, 2100, 236768, 531, 24473, 9279, 29304, 699, 1546, 31831, 236787, 138, 107, 139, 236772, 70207, 743, 75720, 236770, 236819, 236825, 91858, 236786, 8144, 779, 15689, 47169, 75720, 236825, 236771, 91858, 236786, 33395, 1020, 779, 9792, 75720, 236812, 236819, 91858, 236786, 130000, 779, 14318, 75720, 236832, 236771, 91858, 236786, 67769, 779, 4044, 236761, 138, 107, 236778, 236761, 110081, 69570, 684, 105565, 531, 974, 810, 236772, 19461, 29304, 236761, 138, 108, 38786, 611, 1133, 1601, 8159, 496, 15028, 3671, 5904, 653, 72304, 7948, 3205, 236881, 236743, 250176, 106, 107, 105, 2364, 107, 113106, 236764, 1531, 236789, 236751, 25044, 672, 236888, 5315, 236764, 8863, 573, 9128, 236789, 495, 506, 25021, 236789, 236751, 528, 2862, 753, 564, 236789, 859, 2247, 528, 614, 1900, 573, 236743, 236778, 236771, 6630, 2148, 2069, 236761, 4224, 1003, 1091, 29304, 1390, 5715, 236789, 236751, 1041, 132419, 3789, 15028, 4889, 1570, 236787, 753, 236743, 236800, 27370, 153077, 568, 236770, 236819, 236825, 91858, 236786, 8144, 236768, 753, 236743, 236770, 8578, 15689, 47169, 568, 17868, 236743, 236825, 236771, 91858, 236786, 33395, 1020, 15666, 236743, 236770, 236825, 107072, 236786, 8144, 236768, 753, 236743, 236800, 236786, 236812, 8578, 9792, 568, 9869, 236743, 236812, 236819, 91858, 236786, 130000, 15666, 236743, 236770, 236778, 72881, 236768, 753, 236743, 236800, 14318, 568, 236832, 236771, 91858, 236786, 67769, 236768, 753, 236743, 236778, 107072, 11018, 568, 17868, 236743, 236770, 236771, 236778, 91858, 236786, 33395, 1020, 236768, 753, 236743, 236770, 72881, 37675, 568, 226913, 554, 1253, 236768, 28344, 611, 5213, 30718, 506, 2558, 29304, 810, 12284, 1018, 1699, 1239, 4945, 236881, 564, 236789, 236753, 776, 625, 7564, 236764, 840, 6596, 35729, 236789, 236745, 1041, 3188, 8816, 753, 600, 236789, 236751, 3217, 564, 5452, 496, 108786, 236764, 711, 496, 1001, 6139, 1037, 236888, 236743, 241851, 1452, 1651, 692, 236789, 500, 657, 625, 236764, 1451, 611, 3600, 496, 5213, 204713, 236772, 59849, 18073, 7948, 3205, 1018, 531, 3972, 236772, 4256, 1239, 2979, 236881, 3551, 40135, 236789, 236751, 219116, 563, 496, 26004, 532, 8150, 756, 56488, 236789, 4945, 573, 910, 9148, 6831, 8651, 236761, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 9279, 822, 132419, 3789, 236789, 236751, 2558, 29304, 810, 12284, 1699, 506, 2979, 611, 3847, 236787, 108, 1018, 9640, 29304, 810, 3789, 53121, 107, 236772, 70207, 743, 236787, 236743, 236800, 27370, 15666, 236743, 236770, 236819, 236825, 91858, 236786, 8144, 578, 5213, 236810, 236828, 236828, 91858, 1018, 138, 107, 236772, 19862, 47169, 236787, 236743, 236770, 236825, 107072, 15666, 236743, 236825, 236771, 91858, 236786, 33395, 1020, 578, 5213, 236819, 236825, 236771, 91858, 1018, 138, 107, 236772, 32999, 236787, 236743, 236770, 236778, 72881, 15666, 236743, 236812, 236819, 91858, 236786, 130000, 578, 5213, 236810, 236828, 236828, 91858, 1018, 138, 107, 236772, 95292, 236787, 236743, 236800, 15666, 236743, 236832, 236771, 91858, 578, 5213, 236778, 236770, 236771, 91858, 1018, 138, 107, 236772, 33656, 236787, 236743, 236778, 107072, 15666, 236743, 236770, 236771, 236778, 91858, 236786, 33395, 1020, 578, 5213, 236778, 236771, 236812, 91858, 1018, 138, 107, 236772, 103012, 236787, 40266, 138, 108, 1018, 9640, 578, 236743, 236810, 236828, 236828, 900, 236743, 236819, 236825, 236771, 900, 236743, 236810, 236828, 236828, 900, 236743, 236778, 236770, 236771, 900, 236743, 236778, 236771, 236812, 578, 236743, 236778, 236764, 236810, 236810, 236771, 91858, 810, 3789, 1018, 138, 107, 1018, 5141, 12284, 568, 236828, 32892, 1473, 1018, 236743, 236778, 236764, 236810, 236810, 236771, 108140, 236743, 236828, 578, 5213, 236800, 236770, 236828, 236761, 236832, 236810, 91858, 236786, 19461, 1018, 138, 108, 7243, 108, 1018, 204713, 236772, 75938, 37854, 23260, 53121, 138, 107, 2542, 5125, 2979, 236764, 1161, 506, 72304, 10353, 2100, 8870, 236787, 138, 107, 236840, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 236786, 5457, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 31004, 138, 108, 246533, 12713, 236772, 4256, 822, 13153, 1590, 568, 236744, 236761, 236759, 1126, 153077, 870, 1735, 236743, 236770, 236778, 236771, 236825, 236770, 5457, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 236786, 11038, 236755, 236772, 1110, 236761, 3185, 149274, 17625, 236772, 13308, 236786, 236770, 236778, 236771, 236825, 236770, 236786, 13569, 97523, 779, 15689, 47169, 870, 1735, 236743, 236770, 236819, 236770, 236810, 236810, 5457, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 236786, 11038, 236755, 236772, 1110, 236761, 3185, 149274, 17625, 236772, 13308, 236786, 236770, 236819, 236770, 236810, 236810, 236786, 13569, 97523, 779, 4044, 7476, 138, 108, 1018, 10282, 53121, 3143, 2979, 9027, 18997, 10802, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236825, 107072, 528, 236743, 236770, 8578, 769, 1701, 9148, 6831, 8651, 236764, 1966, 236787, 138, 107, 236770, 236761, 10352, 72304, 2979, 573, 4453, 1788, 568, 19256, 4945, 1149, 9729, 8427, 769, 138, 107, 236778, 236761, 49501, 496, 12314, 153306, 573, 5707, 35677, 3671, 236761, 138, 108, 11069, 3789, 236858, 236751, 23494, 25890, 236787, 138, 107, 1018, 236995, 236800, 236770, 236819, 91858, 236786, 19461, 1018, 568, 93424, 699, 48377, 236786, 23014, 62668, 769, 26079, 573, 496, 37017, 2980, 236888, 236743, 250176, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 1599, 1281, 1217, 692, 236789, 500, 2462, 2056, 495, 236789, 531, 2514, 872, 607, 506, 6524, 15067, 657, 506, 4762, 236881, 2085, 236789, 236751, 672, 861, 120701, 25021, 600, 496, 2321, 5103, 735, 1010, 2679, 495, 236789, 1003, 753, 756, 46797, 236789, 236751, 56846, 37330, 2797, 87078, 114712, 236789, 531, 577, 3530, 236761, 28344, 611, 2426, 768, 625, 236789, 236751, 2487, 1343, 1023, 66963, 236881, 564, 236789, 236753, 2765, 531, 2247, 528, 614, 1900, 768, 625, 236789, 236751, 528, 2862, 236761, 7062, 236764, 532, 1651, 611, 236789, 500, 657, 625, 236764, 1451, 611, 2426, 506, 63404, 1527, 573, 496, 12284, 529, 1041, 132419, 3789, 15028, 236881, 3551, 12198, 236789, 236751, 1010, 580, 496, 2404, 12261, 532, 15033, 56400, 495, 236789, 786, 531, 118544, 625, 872, 236764, 840, 564, 1537, 236789, 236745, 1461, 531, 42711, 506, 2523, 14385, 236888, 106, 107, 105, 4368, 107, 2021, 6361, 611, 11974, 236787, 108, 236770, 236761, 5213, 2542, 506, 120701, 25021, 15830, 66515, 564, 236789, 859, 1202, 506, 3530, 5213, 5930, 5853, 1018, 529, 623, 46797, 236789, 236751, 56846, 37330, 2797, 87078, 114712, 236775, 531, 2426, 50386, 2862, 1699, 506, 2165, 4256, 236779, 56905, 236929, 5904, 236761, 28344, 611, 2847, 672, 5853, 236881, 108, 236778, 236761, 5213, 2542, 506, 132419, 3789, 63404, 1527, 66515, 20044, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 62577, 15028, 236772, 15396, 63404, 18558, 236761, 669, 2165, 30718, 236779, 32320, 236779, 182461, 236779, 720, 873, 236929, 5904, 1186, 14287, 6376, 3548, 2721, 580, 3577, 19455, 568, 676, 236764, 3825, 236764, 4044, 12885, 711, 15028, 13153, 236761, 1599, 236858, 236753, 1202, 496, 15028, 72217, 653, 9813, 31831, 25890, 573, 614, 11459, 1527, 236761, 236743, 108, 6481, 786, 1281, 506, 1698, 5853, 236764, 532, 564, 236858, 859, 2426, 506, 25021, 236858, 236751, 15830, 236888, 236743, 248265, 106, 107, 105, 2364, 107, 13086, 236764, 564, 1537, 236789, 236745, 735, 600, 28149, 1698, 5853, 31380, 236764, 840, 506, 50386, 236789, 236751, 23191, 1548, 573, 506, 120701, 25021, 563, 22869, 236772, 3692, 236772, 10524, 40257, 236776, 236772, 236770, 236778, 236761, 3792, 236789, 236751, 1161, 600, 236888, 1452, 573, 506, 132419, 3789, 753, 1590, 236789, 236751, 1041, 15028, 4889, 236787, 236743, 236800, 27370, 153077, 568, 236770, 8578, 61006, 573, 70013, 779, 236743, 236770, 8578, 15689, 47169, 236764, 236743, 236800, 236786, 236812, 8578, 9792, 236764, 236743, 236800, 14318, 236764, 236743, 236778, 107072, 11018, 236764, 236743, 236770, 72881, 37675, 236761, 55062, 236743, 236828, 105565, 236761, 82005, 692, 740, 9279, 29304, 699, 672, 236881, 3551, 40135, 236789, 236751, 9148, 563, 2148, 2297, 532, 901, 1461, 35677, 8283, 573, 506, 6831, 8651, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 16014, 236772, 3692, 236772, 10524, 40257, 236776, 236772, 236770, 236778, 827, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 18700, 236779, 22111, 1083, 236743, 236770, 236812, 236778, 236764, 623, 4506, 945, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 32320, 236779, 182461, 236779, 720, 873, 1083, 236743, 236778, 236778, 236810, 236771, 236764, 623, 6805, 1083, 623, 77874, 827, 623, 7284, 3843, 1083, 3714, 56874, 1083, 623, 236770, 236812, 236771, 236759, 827, 623, 4554, 33229, 14473, 1083, 623, 236800, 236778, 236771, 236759, 827, 623, 236760, 2139, 1083, 623, 236832, 236810, 236759, 23179, 623, 14210, 1083, 623, 22515, 580, 142278, 236772, 894, 6735, 504, 4901, 573, 51641, 5158, 24864, 25938, 106, 107, 105, 4368, 107, 818, 120701, 25021, 568, 44095, 997, 16014, 236772, 3692, 236772, 10524, 40257, 236776, 236772, 236770, 236778, 236768, 563, 5213, 495, 2862, 1018, 607, 236743, 236770, 236812, 236778, 6630, 2487, 236764, 2148, 1884, 945, 14812, 573, 6243, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 108, 2542, 822, 132419, 3789, 15028, 568, 236828, 105565, 2558, 1473, 138, 107, 195096, 5213, 3771, 1982, 5904, 7519, 1018, 573, 15028, 63404, 15621, 236761, 669, 2165, 30718, 236779, 32320, 236779, 182461, 236779, 720, 873, 236929, 5904, 1186, 14287, 6376, 3548, 2721, 580, 3577, 19455, 568, 236744, 236761, 236759, 1126, 3911, 236764, 3825, 779, 711, 15028, 13153, 236761, 236743, 108, 1018, 9272, 6555, 66515, 138, 107, 236770, 236761, 6890, 496, 18073, 7948, 568, 5282, 72304, 10353, 2100, 236768, 531, 24473, 9279, 29304, 699, 1546, 31831, 236787, 138, 107, 139, 236772, 70207, 743, 75720, 236770, 236819, 236825, 91858, 236786, 8144, 779, 15689, 47169, 75720, 236825, 236771, 91858, 236786, 33395, 1020, 779, 9792, 75720, 236812, 236819, 91858, 236786, 130000, 779, 14318, 75720, 236832, 236771, 91858, 236786, 67769, 779, 4044, 236761, 138, 107, 236778, 236761, 110081, 69570, 684, 105565, 531, 974, 810, 236772, 19461, 29304, 236761, 138, 108, 38786, 611, 1133, 1601, 8159, 496, 15028, 3671, 5904, 653, 72304, 7948, 3205, 236881, 236743, 250176, 106, 107, 105, 2364, 107, 113106, 236764, 1531, 236789, 236751, 25044, 672, 236888, 5315, 236764, 8863, 573, 9128, 236789, 495, 506, 25021, 236789, 236751, 528, 2862, 753, 564, 236789, 859, 2247, 528, 614, 1900, 573, 236743, 236778, 236771, 6630, 2148, 2069, 236761, 4224, 1003, 1091, 29304, 1390, 5715, 236789, 236751, 1041, 132419, 3789, 15028, 4889, 1570, 236787, 753, 236743, 236800, 27370, 153077, 568, 236770, 236819, 236825, 91858, 236786, 8144, 236768, 753, 236743, 236770, 8578, 15689, 47169, 568, 17868, 236743, 236825, 236771, 91858, 236786, 33395, 1020, 15666, 236743, 236770, 236825, 107072, 236786, 8144, 236768, 753, 236743, 236800, 236786, 236812, 8578, 9792, 568, 9869, 236743, 236812, 236819, 91858, 236786, 130000, 15666, 236743, 236770, 236778, 72881, 236768, 753, 236743, 236800, 14318, 568, 236832, 236771, 91858, 236786, 67769, 236768, 753, 236743, 236778, 107072, 11018, 568, 17868, 236743, 236770, 236771, 236778, 91858, 236786, 33395, 1020, 236768, 753, 236743, 236770, 72881, 37675, 568, 226913, 554, 1253, 236768, 28344, 611, 5213, 30718, 506, 2558, 29304, 810, 12284, 1018, 1699, 1239, 4945, 236881, 564, 236789, 236753, 776, 625, 7564, 236764, 840, 6596, 35729, 236789, 236745, 1041, 3188, 8816, 753, 600, 236789, 236751, 3217, 564, 5452, 496, 108786, 236764, 711, 496, 1001, 6139, 1037, 236888, 236743, 241851, 1452, 1651, 692, 236789, 500, 657, 625, 236764, 1451, 611, 3600, 496, 5213, 204713, 236772, 59849, 18073, 7948, 3205, 1018, 531, 3972, 236772, 4256, 1239, 2979, 236881, 3551, 40135, 236789, 236751, 219116, 563, 496, 26004, 532, 8150, 756, 56488, 236789, 4945, 573, 910, 9148, 6831, 8651, 236761, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 9279, 822, 132419, 3789, 236789, 236751, 2558, 29304, 810, 12284, 1699, 506, 2979, 611, 3847, 236787, 108, 1018, 9640, 29304, 810, 3789, 53121, 107, 236772, 70207, 743, 236787, 236743, 236800, 27370, 15666, 236743, 236770, 236819, 236825, 91858, 236786, 8144, 578, 5213, 236810, 236828, 236828, 91858, 1018, 138, 107, 236772, 19862, 47169, 236787, 236743, 236770, 236825, 107072, 15666, 236743, 236825, 236771, 91858, 236786, 33395, 1020, 578, 5213, 236819, 236825, 236771, 91858, 1018, 138, 107, 236772, 32999, 236787, 236743, 236770, 236778, 72881, 15666, 236743, 236812, 236819, 91858, 236786, 130000, 578, 5213, 236810, 236828, 236828, 91858, 1018, 138, 107, 236772, 95292, 236787, 236743, 236800, 15666, 236743, 236832, 236771, 91858, 578, 5213, 236778, 236770, 236771, 91858, 1018, 138, 107, 236772, 33656, 236787, 236743, 236778, 107072, 15666, 236743, 236770, 236771, 236778, 91858, 236786, 33395, 1020, 578, 5213, 236778, 236771, 236812, 91858, 1018, 138, 107, 236772, 103012, 236787, 40266, 138, 108, 1018, 9640, 578, 236743, 236810, 236828, 236828, 900, 236743, 236819, 236825, 236771, 900, 236743, 236810, 236828, 236828, 900, 236743, 236778, 236770, 236771, 900, 236743, 236778, 236771, 236812, 578, 236743, 236778, 236764, 236810, 236810, 236771, 91858, 810, 3789, 1018, 138, 107, 1018, 5141, 12284, 568, 236828, 32892, 1473, 1018, 236743, 236778, 236764, 236810, 236810, 236771, 108140, 236743, 236828, 578, 5213, 236800, 236770, 236828, 236761, 236832, 236810, 91858, 236786, 19461, 1018, 138, 108, 7243, 108, 1018, 204713, 236772, 75938, 37854, 23260, 53121, 138, 107, 2542, 5125, 2979, 236764, 1161, 506, 72304, 10353, 2100, 8870, 236787, 138, 107, 236840, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 236786, 5457, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 31004, 138, 108, 246533, 12713, 236772, 4256, 822, 13153, 1590, 568, 236744, 236761, 236759, 1126, 153077, 870, 1735, 236743, 236770, 236778, 236771, 236825, 236770, 5457, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 236786, 11038, 236755, 236772, 1110, 236761, 3185, 149274, 17625, 236772, 13308, 236786, 236770, 236778, 236771, 236825, 236770, 236786, 13569, 97523, 779, 15689, 47169, 870, 1735, 236743, 236770, 236819, 236770, 236810, 236810, 5457, 2574, 1411, 11038, 236755, 236761, 2703, 236761, 605, 1926, 236761, 12561, 236786, 11038, 236755, 236772, 1110, 236761, 3185, 149274, 17625, 236772, 13308, 236786, 236770, 236819, 236770, 236810, 236810, 236786, 13569, 97523, 779, 4044, 7476, 138, 108, 1018, 10282, 53121, 3143, 2979, 9027, 18997, 10802, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236825, 107072, 528, 236743, 236770, 8578, 769, 1701, 9148, 6831, 8651, 236764, 1966, 236787, 138, 107, 236770, 236761, 10352, 72304, 2979, 573, 4453, 1788, 568, 19256, 4945, 1149, 9729, 8427, 769, 138, 107, 236778, 236761, 49501, 496, 12314, 153306, 573, 5707, 35677, 3671, 236761, 138, 108, 11069, 3789, 236858, 236751, 23494, 25890, 236787, 138, 107, 1018, 236995, 236800, 236770, 236819, 91858, 236786, 19461, 1018, 568, 93424, 699, 48377, 236786, 23014, 62668, 769, 26079, 573, 496, 37017, 2980, 236888, 236743, 250176, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 7467, 528, 506, 22758, 573, 506, 16038, 9735, 236761, 2900, 236789, 236751, 506, 10368, 573, 506, 236743, 236770, 236832, 594, 529, 5142, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 1759, 236772, 2289, 653, 8398, 1262, 7021, 568, 5282, 8568, 30916, 236764, 87133, 236764, 653, 56918, 236768, 531, 2426, 506, 18533, 10368, 573, 5142, 236743, 236770, 236832, 594, 236761, 1637, 611, 735, 3530, 4889, 1003, 506, 22758, 653, 4749, 611, 236789, 500, 7467, 528, 236764, 2597, 2196, 531, 4024, 1091, 236764, 532, 564, 740, 1601, 30493, 653, 37386, 600, 1938, 236888, 27587, 236764, 564, 5840, 16329, 5125, 18533, 17909, 653, 87133, 573, 506, 1346, 11459, 12496, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 7467, 528, 506, 22758, 573, 506, 16038, 9735, 236761, 2900, 236789, 236751, 506, 10368, 573, 506, 236743, 236770, 236832, 594, 529, 5142, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 1759, 236772, 2289, 653, 8398, 1262, 7021, 568, 5282, 8568, 30916, 236764, 87133, 236764, 653, 56918, 236768, 531, 2426, 506, 18533, 10368, 573, 5142, 236743, 236770, 236832, 594, 236761, 1637, 611, 735, 3530, 4889, 1003, 506, 22758, 653, 4749, 611, 236789, 500, 7467, 528, 236764, 2597, 2196, 531, 4024, 1091, 236764, 532, 564, 740, 1601, 30493, 653, 37386, 600, 1938, 236888, 27587, 236764, 564, 5840, 16329, 5125, 18533, 17909, 653, 87133, 573, 506, 1346, 11459, 12496, 236761, 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, 6317, 529, 506, 149927, 7802, 514, 14839, 2290, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 564, 236789, 560, 1010, 3182, 4448, 531, 672, 4241, 784, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 8318, 1083, 3714, 14992, 236770, 1083, 623, 46130, 14545, 7802, 514, 14839, 827, 623, 14992, 236778, 1083, 623, 236798, 58282, 945, 202090, 3510, 827, 623, 8318, 236770, 1083, 236743, 236800, 236764, 623, 8318, 236778, 1083, 236743, 236778, 1263, 623, 5567, 236779, 4818, 1083, 623, 902, 22583, 827, 623, 2478, 236779, 23251, 1083, 3714, 23735, 1083, 623, 236800, 7221, 827, 623, 38494, 236779, 498, 236779, 29538, 1083, 3714, 14992, 236770, 1083, 236743, 236778, 236828, 236764, 623, 14992, 236778, 1083, 236743, 236778, 236812, 1263, 623, 10310, 236779, 1555, 1083, 3714, 14992, 236770, 1083, 623, 236771, 236786, 236770, 827, 623, 14992, 236778, 1083, 623, 236770, 236786, 236778, 236775, 19465, 106, 107, 105, 4368, 107, 818, 149927, 7802, 514, 14839, 659, 5633, 5662, 2342, 506, 43433, 153412, 202090, 3510, 236764, 532, 506, 6317, 563, 5213, 236800, 236772, 236778, 1018, 528, 4664, 529, 506, 7802, 514, 14839, 236761, 669, 2290, 563, 528, 506, 5213, 236800, 7221, 2846, 1018, 532, 2036, 528, 5609, 236888, 138, 108, 8291, 659, 1070, 2307, 20673, 236787, 138, 107, 236772, 5213, 3138, 1498, 580, 5671, 66515, 7802, 514, 14839, 568, 236778, 236828, 236768, 7728, 236761, 202090, 3510, 568, 236778, 236812, 236768, 138, 107, 236772, 5213, 18312, 1441, 9286, 66515, 7802, 514, 14839, 568, 236771, 236786, 236770, 236768, 7728, 236761, 202090, 3510, 568, 236770, 236786, 236778, 236768, 138, 108, 1509, 5724, 1133, 496, 3107, 532, 12615, 2290, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 12496, 653, 4889, 236761, 236743, 254597, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6317, 529, 506, 149927, 7802, 514, 14839, 2290, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 564, 236789, 560, 1010, 3182, 4448, 531, 672, 4241, 784, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 8318, 1083, 3714, 14992, 236770, 1083, 623, 46130, 14545, 7802, 514, 14839, 827, 623, 14992, 236778, 1083, 623, 236798, 58282, 945, 202090, 3510, 827, 623, 8318, 236770, 1083, 236743, 236800, 236764, 623, 8318, 236778, 1083, 236743, 236778, 1263, 623, 5567, 236779, 4818, 1083, 623, 902, 22583, 827, 623, 2478, 236779, 23251, 1083, 3714, 23735, 1083, 623, 236800, 7221, 827, 623, 38494, 236779, 498, 236779, 29538, 1083, 3714, 14992, 236770, 1083, 236743, 236778, 236828, 236764, 623, 14992, 236778, 1083, 236743, 236778, 236812, 1263, 623, 10310, 236779, 1555, 1083, 3714, 14992, 236770, 1083, 623, 236771, 236786, 236770, 827, 623, 14992, 236778, 1083, 623, 236770, 236786, 236778, 236775, 19465, 106, 107, 105, 4368, 107, 818, 149927, 7802, 514, 14839, 659, 5633, 5662, 2342, 506, 43433, 153412, 202090, 3510, 236764, 532, 506, 6317, 563, 5213, 236800, 236772, 236778, 1018, 528, 4664, 529, 506, 7802, 514, 14839, 236761, 669, 2290, 563, 528, 506, 5213, 236800, 7221, 2846, 1018, 532, 2036, 528, 5609, 236888, 138, 108, 8291, 659, 1070, 2307, 20673, 236787, 138, 107, 236772, 5213, 3138, 1498, 580, 5671, 66515, 7802, 514, 14839, 568, 236778, 236828, 236768, 7728, 236761, 202090, 3510, 568, 236778, 236812, 236768, 138, 107, 236772, 5213, 18312, 1441, 9286, 66515, 7802, 514, 14839, 568, 236771, 236786, 236770, 236768, 7728, 236761, 202090, 3510, 568, 236770, 236786, 236778, 236768, 138, 108, 1509, 5724, 1133, 496, 3107, 532, 12615, 2290, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 12496, 653, 4889, 236761, 236743, 254597, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 11006, 573, 614, 16038, 6369, 1624, 684, 35329, 496, 6749, 1076, 529, 89001, 1624, 5734, 236761, 5315, 236764, 16807, 506, 16553, 8357, 532, 48121, 23680, 2509, 563, 6340, 17934, 236761, 1637, 625, 236858, 236751, 711, 7644, 236764, 4491, 236743, 236770, 236771, 4310, 532, 544, 4256, 3097, 625, 236858, 236751, 5508, 236761, 9920, 17934, 236764, 8430, 784, 24724, 6369, 184058, 699, 506, 9413, 236761, 3153, 236764, 768, 506, 2509, 20269, 1913, 23680, 236764, 5702, 531, 496, 21609, 2263, 8487, 5904, 532, 25774, 506, 2536, 1131, 496, 12323, 2072, 236761, 3792, 786, 1281, 1056, 506, 1626, 2072, 563, 5508, 573, 3540, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 37841, 827, 623, 9731, 236779, 1399, 1583, 1083, 623, 3846, 236779, 214144, 827, 623, 5455, 236779, 22011, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 23046, 236779, 48578, 1083, 623, 58591, 827, 623, 1899, 236779, 1587, 1083, 623, 1904, 236779, 39633, 236779, 40400, 25938, 106, 107, 105, 4368, 107, 818, 16553, 8357, 532, 48121, 23680, 2509, 563, 5633, 5213, 3846, 17934, 1018, 607, 12567, 8487, 6541, 532, 951, 6749, 4342, 13207, 236761, 236743, 108, 9675, 236764, 564, 6303, 600, 506, 3149, 6436, 573, 14980, 506, 5396, 23680, 529, 20756, 236786, 40258, 699, 144395, 659, 711, 2487, 528, 1041, 1873, 98889, 236761, 669, 1186, 15283, 5904, 20442, 37841, 236779, 19216, 236779, 828, 18833, 44898, 2509, 2404, 236764, 840, 993, 659, 951, 5151, 3847, 531, 236787, 107, 236770, 236761, 40656, 20756, 236786, 40258, 699, 144395, 107, 236778, 236761, 13863, 496, 21609, 2263, 8487, 5904, 107, 236800, 236761, 43550, 12323, 7248, 108, 2021, 7162, 236764, 611, 1093, 1202, 531, 3477, 236787, 107, 236772, 39525, 2802, 531, 506, 16553, 23680, 6436, 6950, 528, 822, 28079, 107, 236772, 2599, 1755, 2121, 506, 23680, 1699, 822, 2263, 3797, 107, 236772, 61018, 1891, 768, 993, 236789, 236751, 614, 28540, 1996, 531, 6350, 822, 12092, 607, 506, 6436, 5633, 2487, 531, 786, 106, 107, 105, 2364, 107, 236777, 3050, 506, 26919, 236761, 3792, 236858, 236751, 7535, 506, 28079, 531, 3213, 580, 1144, 740, 577, 44526, 607, 822, 1873, 15858, 236761, 5315, 236764, 9128, 506, 2509, 2404, 1570, 1699, 2165, 37841, 236779, 19216, 236779, 828, 21233, 1637, 625, 7474, 17934, 236764, 43928, 506, 23680, 1657, 684, 20104, 506, 4275, 2129, 34269, 529, 506, 89001, 1624, 5734, 568, 79202, 901, 236858, 500, 11628, 528, 496, 31044, 12229, 1133, 86072, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 59395, 4298, 236764, 2619, 496, 18649, 12323, 2072, 3904, 2721, 580, 62954, 23680, 2536, 236764, 2440, 180399, 573, 2307, 184058, 236764, 1624, 4945, 236764, 532, 24724, 6369, 12130, 236761, 1174, 795, 1531, 786, 3540, 506, 10318, 573, 10634, 1680, 5396, 8487, 236761, 1637, 506, 2509, 2404, 2426, 20269, 1913, 672, 2918, 236764, 7350, 506, 2426, 3097, 2630, 236761, 101685, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 37841, 827, 623, 1399, 1583, 1083, 1847, 236764, 623, 9731, 236779, 223244, 1083, 623, 236778, 236812, 3885, 827, 623, 42446, 236779, 4406, 1083, 623, 236766, 236800, 236761, 236778, 236761, 236770, 827, 623, 5455, 236779, 95503, 236779, 4256, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 2509, 7474, 5213, 3846, 17934, 1018, 607, 496, 1873, 169179, 529, 236743, 236778, 236812, 3885, 532, 24990, 3567, 566, 236800, 236761, 236778, 236761, 236770, 236761, 5715, 236789, 236751, 506, 33939, 28079, 2721, 580, 822, 6035, 236787, 108, 7243, 108, 10354, 5213, 9028, 6260, 7992, 34269, 573, 198380, 15316, 27489, 1018, 107, 83033, 31044, 6310, 528, 86072, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 75118, 107, 2717, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236779, 236766, 236778, 236779, 10288, 236779, 10218, 236761, 10888, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 236779, 500, 147301, 236779, 209668, 236761, 10888, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236778, 236779, 195925, 3074, 1598, 236779, 2763, 96686, 236779, 65442, 236761, 10888, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236778, 236772, 236771, 236828, 236819, 236779, 1110, 93252, 236779, 88276, 236779, 40258, 236761, 10888, 107, 2717, 108, 7243, 108, 10354, 5213, 36631, 25252, 8708, 23718, 1018, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 102958, 236779, 21052, 1083, 642, 107, 140, 236775, 8114, 236779, 4818, 236779, 87622, 1083, 1847, 236764, 107, 140, 236775, 4973, 6260, 236779, 102958, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 107, 140, 236775, 6725, 236779, 9207, 236779, 47382, 1083, 236743, 236812, 236764, 107, 140, 236775, 1734, 53797, 236779, 27975, 1083, 11058, 195925, 14424, 827, 623, 226954, 827, 623, 11255, 1283, 827, 623, 1045, 1465, 1762, 1935, 107, 138, 1263, 107, 138, 236775, 2478, 236779, 1734, 1465, 876, 1083, 870, 107, 140, 236782, 107, 142, 236775, 4925, 236779, 5640, 1083, 623, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 107, 142, 236775, 54012, 524, 236779, 33178, 1083, 870, 107, 144, 236775, 6776, 529, 18359, 236743, 236770, 236778, 236769, 236763, 3460, 236825, 236768, 54702, 8443, 827, 107, 144, 236775, 3695, 53797, 50932, 580, 8943, 566, 236761, 98881, 568, 236778, 236771, 236778, 236770, 16291, 107, 142, 1604, 107, 142, 236775, 2164, 236779, 2337, 1083, 9560, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236779, 236766, 236778, 236779, 10288, 236779, 10218, 236761, 10888, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 4925, 236779, 5640, 1083, 623, 49710, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 827, 107, 142, 236775, 54012, 524, 236779, 33178, 1083, 870, 107, 144, 236775, 1479, 147301, 696, 39444, 63384, 4083, 827, 107, 144, 236775, 110549, 607, 8659, 4054, 22611, 528, 12510, 566, 236761, 3245, 236775, 107, 142, 1604, 107, 142, 236775, 2164, 236779, 2337, 1083, 9560, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 236779, 500, 147301, 236779, 209668, 236761, 10888, 236775, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 15443, 236779, 4818, 1083, 623, 26044, 236779, 29641, 236779, 2788, 236779, 1708, 236779, 21862, 236775, 107, 236783, 107, 2717, 108, 7243, 108, 2094, 10318, 5132, 18256, 131160, 532, 3165, 236772, 70886, 180399, 236761, 21284, 611, 1133, 786, 531, 59638, 1027, 3336, 1680, 201585, 506, 2072, 3904, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 11006, 573, 614, 16038, 6369, 1624, 684, 35329, 496, 6749, 1076, 529, 89001, 1624, 5734, 236761, 5315, 236764, 16807, 506, 16553, 8357, 532, 48121, 23680, 2509, 563, 6340, 17934, 236761, 1637, 625, 236858, 236751, 711, 7644, 236764, 4491, 236743, 236770, 236771, 4310, 532, 544, 4256, 3097, 625, 236858, 236751, 5508, 236761, 9920, 17934, 236764, 8430, 784, 24724, 6369, 184058, 699, 506, 9413, 236761, 3153, 236764, 768, 506, 2509, 20269, 1913, 23680, 236764, 5702, 531, 496, 21609, 2263, 8487, 5904, 532, 25774, 506, 2536, 1131, 496, 12323, 2072, 236761, 3792, 786, 1281, 1056, 506, 1626, 2072, 563, 5508, 573, 3540, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 37841, 827, 623, 9731, 236779, 1399, 1583, 1083, 623, 3846, 236779, 214144, 827, 623, 5455, 236779, 22011, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 23046, 236779, 48578, 1083, 623, 58591, 827, 623, 1899, 236779, 1587, 1083, 623, 1904, 236779, 39633, 236779, 40400, 25938, 106, 107, 105, 4368, 107, 818, 16553, 8357, 532, 48121, 23680, 2509, 563, 5633, 5213, 3846, 17934, 1018, 607, 12567, 8487, 6541, 532, 951, 6749, 4342, 13207, 236761, 236743, 108, 9675, 236764, 564, 6303, 600, 506, 3149, 6436, 573, 14980, 506, 5396, 23680, 529, 20756, 236786, 40258, 699, 144395, 659, 711, 2487, 528, 1041, 1873, 98889, 236761, 669, 1186, 15283, 5904, 20442, 37841, 236779, 19216, 236779, 828, 18833, 44898, 2509, 2404, 236764, 840, 993, 659, 951, 5151, 3847, 531, 236787, 107, 236770, 236761, 40656, 20756, 236786, 40258, 699, 144395, 107, 236778, 236761, 13863, 496, 21609, 2263, 8487, 5904, 107, 236800, 236761, 43550, 12323, 7248, 108, 2021, 7162, 236764, 611, 1093, 1202, 531, 3477, 236787, 107, 236772, 39525, 2802, 531, 506, 16553, 23680, 6436, 6950, 528, 822, 28079, 107, 236772, 2599, 1755, 2121, 506, 23680, 1699, 822, 2263, 3797, 107, 236772, 61018, 1891, 768, 993, 236789, 236751, 614, 28540, 1996, 531, 6350, 822, 12092, 607, 506, 6436, 5633, 2487, 531, 786, 106, 107, 105, 2364, 107, 236777, 3050, 506, 26919, 236761, 3792, 236858, 236751, 7535, 506, 28079, 531, 3213, 580, 1144, 740, 577, 44526, 607, 822, 1873, 15858, 236761, 5315, 236764, 9128, 506, 2509, 2404, 1570, 1699, 2165, 37841, 236779, 19216, 236779, 828, 21233, 1637, 625, 7474, 17934, 236764, 43928, 506, 23680, 1657, 684, 20104, 506, 4275, 2129, 34269, 529, 506, 89001, 1624, 5734, 568, 79202, 901, 236858, 500, 11628, 528, 496, 31044, 12229, 1133, 86072, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 59395, 4298, 236764, 2619, 496, 18649, 12323, 2072, 3904, 2721, 580, 62954, 23680, 2536, 236764, 2440, 180399, 573, 2307, 184058, 236764, 1624, 4945, 236764, 532, 24724, 6369, 12130, 236761, 1174, 795, 1531, 786, 3540, 506, 10318, 573, 10634, 1680, 5396, 8487, 236761, 1637, 506, 2509, 2404, 2426, 20269, 1913, 672, 2918, 236764, 7350, 506, 2426, 3097, 2630, 236761, 101685, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 37841, 827, 623, 1399, 1583, 1083, 1847, 236764, 623, 9731, 236779, 223244, 1083, 623, 236778, 236812, 3885, 827, 623, 42446, 236779, 4406, 1083, 623, 236766, 236800, 236761, 236778, 236761, 236770, 827, 623, 5455, 236779, 95503, 236779, 4256, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 2509, 7474, 5213, 3846, 17934, 1018, 607, 496, 1873, 169179, 529, 236743, 236778, 236812, 3885, 532, 24990, 3567, 566, 236800, 236761, 236778, 236761, 236770, 236761, 5715, 236789, 236751, 506, 33939, 28079, 2721, 580, 822, 6035, 236787, 108, 7243, 108, 10354, 5213, 9028, 6260, 7992, 34269, 573, 198380, 15316, 27489, 1018, 107, 83033, 31044, 6310, 528, 86072, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 75118, 107, 2717, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236779, 236766, 236778, 236779, 10288, 236779, 10218, 236761, 10888, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 236779, 500, 147301, 236779, 209668, 236761, 10888, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236778, 236779, 195925, 3074, 1598, 236779, 2763, 96686, 236779, 65442, 236761, 10888, 107, 236786, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236778, 236772, 236771, 236828, 236819, 236779, 1110, 93252, 236779, 88276, 236779, 40258, 236761, 10888, 107, 2717, 108, 7243, 108, 10354, 5213, 36631, 25252, 8708, 23718, 1018, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 102958, 236779, 21052, 1083, 642, 107, 140, 236775, 8114, 236779, 4818, 236779, 87622, 1083, 1847, 236764, 107, 140, 236775, 4973, 6260, 236779, 102958, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 107, 140, 236775, 6725, 236779, 9207, 236779, 47382, 1083, 236743, 236812, 236764, 107, 140, 236775, 1734, 53797, 236779, 27975, 1083, 11058, 195925, 14424, 827, 623, 226954, 827, 623, 11255, 1283, 827, 623, 1045, 1465, 1762, 1935, 107, 138, 1263, 107, 138, 236775, 2478, 236779, 1734, 1465, 876, 1083, 870, 107, 140, 236782, 107, 142, 236775, 4925, 236779, 5640, 1083, 623, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 107, 142, 236775, 54012, 524, 236779, 33178, 1083, 870, 107, 144, 236775, 6776, 529, 18359, 236743, 236770, 236778, 236769, 236763, 3460, 236825, 236768, 54702, 8443, 827, 107, 144, 236775, 3695, 53797, 50932, 580, 8943, 566, 236761, 98881, 568, 236778, 236771, 236778, 236770, 16291, 107, 142, 1604, 107, 142, 236775, 2164, 236779, 2337, 1083, 9560, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236779, 236766, 236778, 236779, 10288, 236779, 10218, 236761, 10888, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 4925, 236779, 5640, 1083, 623, 49710, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 827, 107, 142, 236775, 54012, 524, 236779, 33178, 1083, 870, 107, 144, 236775, 1479, 147301, 696, 39444, 63384, 4083, 827, 107, 144, 236775, 110549, 607, 8659, 4054, 22611, 528, 12510, 566, 236761, 3245, 236775, 107, 142, 1604, 107, 142, 236775, 2164, 236779, 2337, 1083, 9560, 12921, 236779, 16353, 236786, 236778, 236771, 236778, 236812, 236786, 1734, 1465, 876, 236786, 49710, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 236779, 500, 147301, 236779, 209668, 236761, 10888, 236775, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 15443, 236779, 4818, 1083, 623, 26044, 236779, 29641, 236779, 2788, 236779, 1708, 236779, 21862, 236775, 107, 236783, 107, 2717, 108, 7243, 108, 2094, 10318, 5132, 18256, 131160, 532, 3165, 236772, 70886, 180399, 236761, 21284, 611, 1133, 786, 531, 59638, 1027, 3336, 1680, 201585, 506, 2072, 3904, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 10368, 496, 4430, 5395, 573, 2148, 10119, 236764, 6198, 236743, 236778, 236810, 594, 236764, 840, 564, 735, 531, 5571, 1041, 26100, 2290, 580, 8224, 532, 1041, 6853, 236789, 236751, 9092, 236789, 236751, 15043, 580, 9863, 236761, 3199, 611, 9279, 1144, 3433, 1093, 577, 7121, 236743, 236810, 2844, 2668, 1308, 6198, 236743, 236778, 236810, 594, 236764, 8288, 14626, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 818, 3433, 7121, 236743, 236810, 2844, 2668, 1308, 6198, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 18038, 14626, 236764, 43943, 38025, 532, 1237, 20720, 236768, 563, 5213, 36956, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 84750, 236743, 108, 10282, 236787, 1174, 14988, 10789, 573, 4077, 2590, 38025, 568, 236773, 4589, 14356, 236786, 152799, 1004, 236768, 532, 1237, 20720, 840, 1677, 711, 5415, 528, 3577, 33306, 568, 236744, 236761, 236759, 1126, 822, 6853, 236789, 236751, 9863, 15043, 769, 1637, 506, 9863, 15043, 16071, 580, 6198, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 568, 236746, 2844, 1719, 779, 611, 1149, 1202, 531, 6253, 3342, 531, 5571, 600, 3433, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 563, 496, 2844, 1719, 528, 506, 8288, 14626, 236881, 564, 1461, 531, 9128, 993, 236789, 236751, 951, 10940, 47341, 607, 506, 4430, 5395, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 3970, 1083, 623, 3118, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 4818, 1083, 623, 25421, 236779, 1496, 827, 623, 7777, 1083, 623, 27753, 1960, 1719, 568, 1904, 7933, 20720, 5773, 580, 672, 3433, 16291, 236783, 106, 107, 105, 4368, 107, 36956, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 563, 10778, 618, 496, 5213, 25421, 1719, 1018, 528, 506, 8288, 14626, 607, 951, 7933, 20720, 5773, 580, 600, 3433, 236761, 1174, 2820, 822, 4430, 5395, 14812, 573, 5213, 58189, 236764, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 795, 3798, 580, 496, 4841, 1960, 1719, 2180, 10940, 28847, 236761, 236743, 108, 10282, 236787, 5180, 3577, 10368, 568, 69069, 2290, 580, 8224, 236764, 6198, 236743, 236778, 236825, 236764, 532, 6853, 236858, 236751, 9863, 15043, 580, 6198, 236743, 236800, 236770, 236768, 1677, 711, 4208, 672, 3433, 236764, 618, 6243, 236743, 236770, 563, 496, 10119, 236761, 669, 14988, 10789, 573, 4077, 2590, 38025, 532, 20720, 840, 711, 3577, 33306, 236761, 106, 107, 105, 2364, 107, 8574, 611, 9279, 236743, 236800, 2844, 3885, 1308, 236743, 236819, 8151, 580, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 528, 506, 8288, 14626, 236881, 564, 1202, 531, 10368, 496, 4430, 2246, 600, 9857, 657, 236743, 236819, 8151, 532, 9128, 506, 4453, 1345, 990, 2180, 48490, 607, 1041, 6853, 236789, 236751, 9863, 15043, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79442, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 4430, 2246, 6250, 657, 5213, 236819, 236787, 236771, 236771, 8151, 580, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 795, 1345, 657, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 568, 11663, 236768, 580, 506, 1638, 1719, 1018, 1308, 18437, 573, 236743, 236800, 2844, 3885, 528, 506, 8288, 14626, 236761, 236743, 108, 1018, 114225, 66515, 138, 107, 236772, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 563, 496, 2844, 1719, 568, 1904, 7933, 20720, 779, 532, 506, 14988, 5238, 4077, 2590, 1960, 3885, 568, 116645, 236743, 236819, 8151, 236964, 236810, 8711, 236764, 8492, 236964, 45262, 769, 138, 107, 236772, 5180, 6853, 236858, 236751, 9863, 15043, 568, 36817, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 563, 5213, 2217, 580, 506, 1638, 1719, 1018, 618, 506, 4430, 2246, 236764, 834, 993, 563, 951, 12160, 236761, 138, 108, 818, 5395, 10842, 657, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 580, 10119, 236764, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 607, 951, 28981, 607, 822, 3577, 10368, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 10368, 496, 4430, 5395, 573, 2148, 10119, 236764, 6198, 236743, 236778, 236810, 594, 236764, 840, 564, 735, 531, 5571, 1041, 26100, 2290, 580, 8224, 532, 1041, 6853, 236789, 236751, 9092, 236789, 236751, 15043, 580, 9863, 236761, 3199, 611, 9279, 1144, 3433, 1093, 577, 7121, 236743, 236810, 2844, 2668, 1308, 6198, 236743, 236778, 236810, 594, 236764, 8288, 14626, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 818, 3433, 7121, 236743, 236810, 2844, 2668, 1308, 6198, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 568, 18038, 14626, 236764, 43943, 38025, 532, 1237, 20720, 236768, 563, 5213, 36956, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 84750, 236743, 108, 10282, 236787, 1174, 14988, 10789, 573, 4077, 2590, 38025, 568, 236773, 4589, 14356, 236786, 152799, 1004, 236768, 532, 1237, 20720, 840, 1677, 711, 5415, 528, 3577, 33306, 568, 236744, 236761, 236759, 1126, 822, 6853, 236789, 236751, 9863, 15043, 769, 1637, 506, 9863, 15043, 16071, 580, 6198, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 568, 236746, 2844, 1719, 779, 611, 1149, 1202, 531, 6253, 3342, 531, 5571, 600, 3433, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 563, 496, 2844, 1719, 528, 506, 8288, 14626, 236881, 564, 1461, 531, 9128, 993, 236789, 236751, 951, 10940, 47341, 607, 506, 4430, 5395, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 236779, 3970, 1083, 623, 3118, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 4818, 1083, 623, 25421, 236779, 1496, 827, 623, 7777, 1083, 623, 27753, 1960, 1719, 568, 1904, 7933, 20720, 5773, 580, 672, 3433, 16291, 236783, 106, 107, 105, 4368, 107, 36956, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 563, 10778, 618, 496, 5213, 25421, 1719, 1018, 528, 506, 8288, 14626, 607, 951, 7933, 20720, 5773, 580, 600, 3433, 236761, 1174, 2820, 822, 4430, 5395, 14812, 573, 5213, 58189, 236764, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 795, 3798, 580, 496, 4841, 1960, 1719, 2180, 10940, 28847, 236761, 236743, 108, 10282, 236787, 5180, 3577, 10368, 568, 69069, 2290, 580, 8224, 236764, 6198, 236743, 236778, 236825, 236764, 532, 6853, 236858, 236751, 9863, 15043, 580, 6198, 236743, 236800, 236770, 236768, 1677, 711, 4208, 672, 3433, 236764, 618, 6243, 236743, 236770, 563, 496, 10119, 236761, 669, 14988, 10789, 573, 4077, 2590, 38025, 532, 20720, 840, 711, 3577, 33306, 236761, 106, 107, 105, 2364, 107, 8574, 611, 9279, 236743, 236800, 2844, 3885, 1308, 236743, 236819, 8151, 580, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 528, 506, 8288, 14626, 236881, 564, 1202, 531, 10368, 496, 4430, 2246, 600, 9857, 657, 236743, 236819, 8151, 532, 9128, 506, 4453, 1345, 990, 2180, 48490, 607, 1041, 6853, 236789, 236751, 9863, 15043, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79442, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236770, 827, 623, 79442, 236779, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 4430, 2246, 6250, 657, 5213, 236819, 236787, 236771, 236771, 8151, 580, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 795, 1345, 657, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 568, 11663, 236768, 580, 506, 1638, 1719, 1018, 1308, 18437, 573, 236743, 236800, 2844, 3885, 528, 506, 8288, 14626, 236761, 236743, 108, 1018, 114225, 66515, 138, 107, 236772, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 563, 496, 2844, 1719, 568, 1904, 7933, 20720, 779, 532, 506, 14988, 5238, 4077, 2590, 1960, 3885, 568, 116645, 236743, 236819, 8151, 236964, 236810, 8711, 236764, 8492, 236964, 45262, 769, 138, 107, 236772, 5180, 6853, 236858, 236751, 9863, 15043, 568, 36817, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 563, 5213, 2217, 580, 506, 1638, 1719, 1018, 618, 506, 4430, 2246, 236764, 834, 993, 563, 951, 12160, 236761, 138, 108, 818, 5395, 10842, 657, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 580, 10119, 236764, 6243, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 607, 951, 28981, 607, 822, 3577, 10368, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 7715, 236772, 18865, 7946, 531, 506, 94289, 13516, 6367, 528, 27071, 672, 3798, 236761, 5315, 236764, 1161, 5213, 828, 236779, 9341, 236779, 228024, 1018, 531, 1586, 53838, 10224, 900, 8217, 17489, 699, 7693, 11829, 531, 27071, 573, 236743, 236810, 2668, 236761, 9920, 611, 8701, 506, 1791, 3772, 236764, 1161, 5213, 236766, 236770, 236779, 24733, 1018, 531, 7352, 506, 2558, 23058, 3385, 531, 35594, 573, 90352, 236761, 13472, 236764, 2426, 5213, 27083, 1018, 573, 1027, 4301, 14400, 2794, 653, 2460, 86557, 528, 27071, 1913, 600, 99299, 236761, 3792, 236858, 236751, 30726, 573, 2157, 532, 5646, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 228024, 1083, 78493, 37337, 236779, 547, 1083, 623, 54634, 236810, 236774, 236772, 236796, 6329, 10669, 827, 623, 7777, 1083, 623, 236810, 236772, 1496, 10224, 236862, 58657, 8289, 699, 7693, 11829, 531, 27071, 568, 24683, 236743, 236770, 236810, 236772, 236778, 236771, 236768, 607, 3640, 37403, 833, 27071, 4085, 25145, 827, 623, 9707, 236779, 149508, 1083, 236743, 236825, 236828, 236819, 236764, 623, 175113, 1083, 623, 14000, 609, 236778, 236770, 236771, 568, 236778, 236800, 236908, 1135, 22730, 623, 37337, 236779, 2883, 1083, 623, 2574, 1411, 9341, 228024, 236761, 8358, 236761, 854, 236786, 98583, 3775, 236810, 1496, 236770, 23179, 3714, 37337, 236779, 547, 1083, 623, 236799, 236825, 236772, 236796, 6329, 10669, 236772, 236832, 236828, 236819, 827, 623, 7777, 1083, 623, 71653, 236743, 236810, 236772, 1496, 27071, 77518, 607, 36734, 16520, 22344, 833, 19992, 25145, 27071, 4085, 827, 623, 9707, 236779, 149508, 1083, 236743, 236832, 236778, 236810, 236764, 623, 175113, 1083, 623, 14000, 609, 236770, 236832, 236810, 568, 236778, 236771, 236908, 1135, 22730, 623, 37337, 236779, 2883, 1083, 623, 2574, 1411, 9341, 228024, 236761, 8358, 236761, 854, 236786, 98583, 3775, 236810, 1496, 236778, 23179, 3714, 37337, 236779, 547, 1083, 623, 1936, 2201, 236772, 236796, 6329, 10669, 236772, 236812, 236810, 236825, 827, 623, 7777, 1083, 623, 120392, 10224, 236862, 58657, 8289, 568, 24683, 236743, 236778, 236778, 236772, 236778, 236832, 236768, 607, 35874, 41861, 605, 833, 669, 52979, 526, 12825, 827, 623, 9707, 236779, 149508, 1083, 236743, 236770, 236771, 236819, 236819, 236764, 623, 175113, 1083, 623, 14000, 609, 236800, 236771, 236771, 568, 236778, 236770, 236908, 1135, 22730, 623, 37337, 236779, 2883, 1083, 623, 2574, 1411, 9341, 228024, 236761, 8358, 236761, 854, 236786, 98583, 3775, 236810, 1496, 236800, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236825, 236800, 236810, 236761, 236810, 236764, 623, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236778, 236764, 623, 2543, 236779, 27617, 1083, 623, 38556, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 2330, 236779, 17368, 1083, 236743, 236825, 236828, 236819, 236764, 623, 69930, 236779, 2084, 1083, 623, 62473, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 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, 13205, 236779, 22806, 1083, 623, 818, 756, 27083, 236789, 5904, 563, 5402, 573, 75420, 236786, 236836, 11962, 4668, 236764, 711, 4301, 14400, 2794, 653, 27071, 2460, 86557, 236761, 2301, 2487, 5904, 12853, 506, 3149, 18544, 573, 16329, 4301, 14400, 2794, 1781, 19465, 106, 107, 105, 4368, 107, 818, 756, 27083, 236789, 5904, 563, 11161, 5809, 531, 75420, 236786, 236836, 11962, 4668, 236764, 532, 993, 659, 951, 2487, 6436, 528, 1041, 1873, 98889, 531, 2426, 4301, 14400, 2794, 653, 27071, 236772, 15396, 2460, 86557, 236761, 2282, 3421, 672, 236764, 611, 1149, 1461, 531, 236787, 108, 236770, 236761, 7179, 5125, 7021, 1133, 870, 177515, 17526, 19430, 5457, 2574, 1411, 2769, 236761, 98583, 3775, 140323, 236761, 854, 236768, 573, 10224, 12496, 107, 236778, 236761, 15183, 870, 81314, 37728, 236789, 236751, 5125, 4456, 5457, 2574, 1411, 2769, 236761, 216398, 750, 1591, 236761, 854, 236768, 573, 2460, 38332, 107, 236800, 236761, 6890, 496, 4301, 36639, 5058, 1133, 870, 236777, 12734, 17172, 11368, 5457, 2574, 1411, 2769, 236761, 7417, 28747, 915, 77882, 236761, 854, 236768, 108, 38786, 611, 1133, 786, 531, 3600, 9302, 6555, 653, 1601, 607, 2264, 6084, 529, 822, 7946, 6995, 236881, 106, 107, 105, 2364, 107, 142480, 607, 6555, 236743, 236770, 532, 236743, 236778, 236761, 6890, 5213, 828, 236779, 9341, 236779, 228024, 1018, 531, 1586, 53838, 10224, 236862, 58657, 17489, 699, 11829, 531, 27071, 573, 236743, 236810, 2668, 672, 3798, 236764, 1299, 7352, 506, 2558, 23058, 3385, 531, 35594, 1699, 5213, 236766, 236770, 236779, 24733, 84750, 1191, 236858, 859, 24473, 16807, 27071, 236858, 236751, 2460, 14626, 3209, 4323, 5125, 20623, 7088, 618, 611, 10340, 236761, 30235, 580, 37319, 506, 1791, 3772, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37337, 236779, 547, 1083, 623, 54634, 236770, 236778, 236800, 236812, 236810, 827, 623, 7777, 1083, 623, 236810, 236772, 1496, 10224, 236862, 58657, 8289, 699, 7693, 11829, 531, 27071, 568, 20123, 236743, 236770, 236810, 236772, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 1109, 35874, 41861, 605, 4886, 236772, 59667, 900, 236743, 236812, 236772, 7991, 8217, 827, 623, 17368, 236779, 9707, 236779, 149508, 1083, 236743, 236819, 236812, 236819, 236764, 623, 70343, 524, 236779, 9707, 236779, 149508, 1083, 236743, 236832, 236778, 236819, 236764, 623, 4730, 236779, 20967, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 23179, 623, 495, 14753, 1083, 11058, 14670, 236772, 59667, 8122, 22344, 827, 623, 236812, 236772, 7991, 8217, 607, 13932, 827, 623, 15370, 32735, 872, 531, 236743, 236832, 2668, 1680, 14255, 623, 56905, 1083, 623, 107443, 568, 236770, 236778, 16746, 2378, 16291, 236783, 107, 14937, 37337, 236779, 547, 1083, 623, 54634, 236825, 236832, 236828, 236819, 236771, 827, 623, 7777, 1083, 623, 236810, 236772, 1496, 7693, 11829, 531, 27071, 14317, 568, 29097, 236743, 236778, 236772, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 1109, 3640, 37403, 900, 29125, 3331, 79671, 827, 623, 17368, 236779, 9707, 236779, 149508, 1083, 236743, 236828, 236819, 236819, 236764, 623, 70343, 524, 236779, 9707, 236779, 149508, 1083, 236743, 236825, 236828, 236819, 236764, 623, 4730, 236779, 20967, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236832, 23179, 623, 495, 14753, 1083, 11058, 14670, 236772, 59667, 22344, 4323, 3640, 827, 623, 236800, 236772, 7991, 8217, 900, 1295, 20310, 827, 623, 236778, 236771, 236908, 1135, 94289, 13516, 6367, 16677, 14255, 623, 56905, 1083, 623, 21550, 568, 236778, 236810, 236862, 16746, 2378, 16291, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 2330, 1083, 236743, 236825, 236800, 236832, 236761, 236812, 236810, 236764, 623, 27617, 236779, 2543, 1083, 623, 38556, 827, 623, 27617, 236779, 1071, 1083, 623, 79271, 827, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236812, 236764, 623, 69930, 236779, 2084, 1083, 623, 62473, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 17043, 37936, 229414, 53121, 138, 107, 134478, 5853, 236787, 5213, 54634, 236825, 236832, 236828, 236819, 236771, 1018, 138, 107, 48995, 236787, 5213, 29097, 236743, 236778, 236772, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 138, 107, 11280, 236787, 5213, 236795, 236825, 236828, 236819, 23058, 1018, 568, 70343, 524, 699, 609, 236828, 236819, 236819, 236768, 138, 107, 902, 14753, 236787, 138, 107, 236772, 23117, 236772, 59667, 3640, 37403, 22344, 138, 107, 236772, 236743, 236800, 236772, 7991, 8217, 900, 29125, 1295, 20310, 138, 107, 236772, 236743, 236778, 236771, 236908, 1135, 94289, 13516, 6367, 16677, 138, 108, 1018, 168935, 11117, 528, 35594, 53121, 138, 107, 237762, 1018, 236825, 236800, 236832, 236761, 236812, 236810, 1018, 568, 5140, 580, 496, 6635, 8770, 3136, 529, 5213, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236778, 236812, 35594, 1018, 769, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 2599, 1755, 16807, 27071, 236858, 236751, 2460, 14626, 573, 5213, 29097, 236743, 236778, 236772, 236832, 1018, 4323, 870, 165279, 13531, 5457, 2574, 1411, 2769, 236761, 216398, 750, 1591, 236761, 854, 236768, 573, 5646, 532, 2460, 86557, 236761, 138, 107, 236778, 236761, 7167, 506, 8289, 4323, 506, 3772, 3205, 568, 2217, 3847, 528, 3072, 236793, 1093, 1202, 531, 33205, 699, 506, 5396, 5058, 769, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 1032, 7946, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 7715, 236772, 18865, 7946, 531, 506, 94289, 13516, 6367, 528, 27071, 672, 3798, 236761, 5315, 236764, 1161, 5213, 828, 236779, 9341, 236779, 228024, 1018, 531, 1586, 53838, 10224, 900, 8217, 17489, 699, 7693, 11829, 531, 27071, 573, 236743, 236810, 2668, 236761, 9920, 611, 8701, 506, 1791, 3772, 236764, 1161, 5213, 236766, 236770, 236779, 24733, 1018, 531, 7352, 506, 2558, 23058, 3385, 531, 35594, 573, 90352, 236761, 13472, 236764, 2426, 5213, 27083, 1018, 573, 1027, 4301, 14400, 2794, 653, 2460, 86557, 528, 27071, 1913, 600, 99299, 236761, 3792, 236858, 236751, 30726, 573, 2157, 532, 5646, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 228024, 1083, 78493, 37337, 236779, 547, 1083, 623, 54634, 236810, 236774, 236772, 236796, 6329, 10669, 827, 623, 7777, 1083, 623, 236810, 236772, 1496, 10224, 236862, 58657, 8289, 699, 7693, 11829, 531, 27071, 568, 24683, 236743, 236770, 236810, 236772, 236778, 236771, 236768, 607, 3640, 37403, 833, 27071, 4085, 25145, 827, 623, 9707, 236779, 149508, 1083, 236743, 236825, 236828, 236819, 236764, 623, 175113, 1083, 623, 14000, 609, 236778, 236770, 236771, 568, 236778, 236800, 236908, 1135, 22730, 623, 37337, 236779, 2883, 1083, 623, 2574, 1411, 9341, 228024, 236761, 8358, 236761, 854, 236786, 98583, 3775, 236810, 1496, 236770, 23179, 3714, 37337, 236779, 547, 1083, 623, 236799, 236825, 236772, 236796, 6329, 10669, 236772, 236832, 236828, 236819, 827, 623, 7777, 1083, 623, 71653, 236743, 236810, 236772, 1496, 27071, 77518, 607, 36734, 16520, 22344, 833, 19992, 25145, 27071, 4085, 827, 623, 9707, 236779, 149508, 1083, 236743, 236832, 236778, 236810, 236764, 623, 175113, 1083, 623, 14000, 609, 236770, 236832, 236810, 568, 236778, 236771, 236908, 1135, 22730, 623, 37337, 236779, 2883, 1083, 623, 2574, 1411, 9341, 228024, 236761, 8358, 236761, 854, 236786, 98583, 3775, 236810, 1496, 236778, 23179, 3714, 37337, 236779, 547, 1083, 623, 1936, 2201, 236772, 236796, 6329, 10669, 236772, 236812, 236810, 236825, 827, 623, 7777, 1083, 623, 120392, 10224, 236862, 58657, 8289, 568, 24683, 236743, 236778, 236778, 236772, 236778, 236832, 236768, 607, 35874, 41861, 605, 833, 669, 52979, 526, 12825, 827, 623, 9707, 236779, 149508, 1083, 236743, 236770, 236771, 236819, 236819, 236764, 623, 175113, 1083, 623, 14000, 609, 236800, 236771, 236771, 568, 236778, 236770, 236908, 1135, 22730, 623, 37337, 236779, 2883, 1083, 623, 2574, 1411, 9341, 228024, 236761, 8358, 236761, 854, 236786, 98583, 3775, 236810, 1496, 236800, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236825, 236800, 236810, 236761, 236810, 236764, 623, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236778, 236764, 623, 2543, 236779, 27617, 1083, 623, 38556, 827, 623, 1071, 236779, 27617, 1083, 623, 79271, 827, 623, 2330, 236779, 17368, 1083, 236743, 236825, 236828, 236819, 236764, 623, 69930, 236779, 2084, 1083, 623, 62473, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 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, 13205, 236779, 22806, 1083, 623, 818, 756, 27083, 236789, 5904, 563, 5402, 573, 75420, 236786, 236836, 11962, 4668, 236764, 711, 4301, 14400, 2794, 653, 27071, 2460, 86557, 236761, 2301, 2487, 5904, 12853, 506, 3149, 18544, 573, 16329, 4301, 14400, 2794, 1781, 19465, 106, 107, 105, 4368, 107, 818, 756, 27083, 236789, 5904, 563, 11161, 5809, 531, 75420, 236786, 236836, 11962, 4668, 236764, 532, 993, 659, 951, 2487, 6436, 528, 1041, 1873, 98889, 531, 2426, 4301, 14400, 2794, 653, 27071, 236772, 15396, 2460, 86557, 236761, 2282, 3421, 672, 236764, 611, 1149, 1461, 531, 236787, 108, 236770, 236761, 7179, 5125, 7021, 1133, 870, 177515, 17526, 19430, 5457, 2574, 1411, 2769, 236761, 98583, 3775, 140323, 236761, 854, 236768, 573, 10224, 12496, 107, 236778, 236761, 15183, 870, 81314, 37728, 236789, 236751, 5125, 4456, 5457, 2574, 1411, 2769, 236761, 216398, 750, 1591, 236761, 854, 236768, 573, 2460, 38332, 107, 236800, 236761, 6890, 496, 4301, 36639, 5058, 1133, 870, 236777, 12734, 17172, 11368, 5457, 2574, 1411, 2769, 236761, 7417, 28747, 915, 77882, 236761, 854, 236768, 108, 38786, 611, 1133, 786, 531, 3600, 9302, 6555, 653, 1601, 607, 2264, 6084, 529, 822, 7946, 6995, 236881, 106, 107, 105, 2364, 107, 142480, 607, 6555, 236743, 236770, 532, 236743, 236778, 236761, 6890, 5213, 828, 236779, 9341, 236779, 228024, 1018, 531, 1586, 53838, 10224, 236862, 58657, 17489, 699, 11829, 531, 27071, 573, 236743, 236810, 2668, 672, 3798, 236764, 1299, 7352, 506, 2558, 23058, 3385, 531, 35594, 1699, 5213, 236766, 236770, 236779, 24733, 84750, 1191, 236858, 859, 24473, 16807, 27071, 236858, 236751, 2460, 14626, 3209, 4323, 5125, 20623, 7088, 618, 611, 10340, 236761, 30235, 580, 37319, 506, 1791, 3772, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37337, 236779, 547, 1083, 623, 54634, 236770, 236778, 236800, 236812, 236810, 827, 623, 7777, 1083, 623, 236810, 236772, 1496, 10224, 236862, 58657, 8289, 699, 7693, 11829, 531, 27071, 568, 20123, 236743, 236770, 236810, 236772, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 1109, 35874, 41861, 605, 4886, 236772, 59667, 900, 236743, 236812, 236772, 7991, 8217, 827, 623, 17368, 236779, 9707, 236779, 149508, 1083, 236743, 236819, 236812, 236819, 236764, 623, 70343, 524, 236779, 9707, 236779, 149508, 1083, 236743, 236832, 236778, 236819, 236764, 623, 4730, 236779, 20967, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 23179, 623, 495, 14753, 1083, 11058, 14670, 236772, 59667, 8122, 22344, 827, 623, 236812, 236772, 7991, 8217, 607, 13932, 827, 623, 15370, 32735, 872, 531, 236743, 236832, 2668, 1680, 14255, 623, 56905, 1083, 623, 107443, 568, 236770, 236778, 16746, 2378, 16291, 236783, 107, 14937, 37337, 236779, 547, 1083, 623, 54634, 236825, 236832, 236828, 236819, 236771, 827, 623, 7777, 1083, 623, 236810, 236772, 1496, 7693, 11829, 531, 27071, 14317, 568, 29097, 236743, 236778, 236772, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 1109, 3640, 37403, 900, 29125, 3331, 79671, 827, 623, 17368, 236779, 9707, 236779, 149508, 1083, 236743, 236828, 236819, 236819, 236764, 623, 70343, 524, 236779, 9707, 236779, 149508, 1083, 236743, 236825, 236828, 236819, 236764, 623, 4730, 236779, 20967, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236832, 23179, 623, 495, 14753, 1083, 11058, 14670, 236772, 59667, 22344, 4323, 3640, 827, 623, 236800, 236772, 7991, 8217, 900, 1295, 20310, 827, 623, 236778, 236771, 236908, 1135, 94289, 13516, 6367, 16677, 14255, 623, 56905, 1083, 623, 21550, 568, 236778, 236810, 236862, 16746, 2378, 16291, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 2330, 1083, 236743, 236825, 236800, 236832, 236761, 236812, 236810, 236764, 623, 27617, 236779, 2543, 1083, 623, 38556, 827, 623, 27617, 236779, 1071, 1083, 623, 79271, 827, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236812, 236764, 623, 69930, 236779, 2084, 1083, 623, 62473, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 17043, 37936, 229414, 53121, 138, 107, 134478, 5853, 236787, 5213, 54634, 236825, 236832, 236828, 236819, 236771, 1018, 138, 107, 48995, 236787, 5213, 29097, 236743, 236778, 236772, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 138, 107, 11280, 236787, 5213, 236795, 236825, 236828, 236819, 23058, 1018, 568, 70343, 524, 699, 609, 236828, 236819, 236819, 236768, 138, 107, 902, 14753, 236787, 138, 107, 236772, 23117, 236772, 59667, 3640, 37403, 22344, 138, 107, 236772, 236743, 236800, 236772, 7991, 8217, 900, 29125, 1295, 20310, 138, 107, 236772, 236743, 236778, 236771, 236908, 1135, 94289, 13516, 6367, 16677, 138, 108, 1018, 168935, 11117, 528, 35594, 53121, 138, 107, 237762, 1018, 236825, 236800, 236832, 236761, 236812, 236810, 1018, 568, 5140, 580, 496, 6635, 8770, 3136, 529, 5213, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236778, 236812, 35594, 1018, 769, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 2599, 1755, 16807, 27071, 236858, 236751, 2460, 14626, 573, 5213, 29097, 236743, 236778, 236772, 236832, 1018, 4323, 870, 165279, 13531, 5457, 2574, 1411, 2769, 236761, 216398, 750, 1591, 236761, 854, 236768, 573, 5646, 532, 2460, 86557, 236761, 138, 107, 236778, 236761, 7167, 506, 8289, 4323, 506, 3772, 3205, 568, 2217, 3847, 528, 3072, 236793, 1093, 1202, 531, 33205, 699, 506, 5396, 5058, 769, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 1032, 7946, 4889, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 4940, 62267, 1699, 506, 2165, 19057, 236779, 8707, 236929, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 20150, 4940, 62267, 1699, 506, 2165, 19057, 236779, 8707, 236929, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6972, 529, 4030, 496, 2268, 7946, 672, 9735, 531, 886, 529, 506, 14942, 9979, 237028, 54912, 39015, 236764, 80086, 236764, 653, 26431, 237028, 1071, 11327, 506, 17110, 7088, 1133, 564, 236789, 560, 1010, 67301, 1003, 236761, 564, 236789, 236757, 711, 2889, 837, 886, 531, 4351, 236764, 834, 1531, 236789, 236751, 1386, 625, 4940, 236761, 3199, 611, 8729, 496, 4940, 1548, 1534, 236743, 236770, 532, 236743, 236800, 531, 10741, 236881, 1637, 625, 236789, 236751, 236743, 236770, 236764, 564, 236789, 859, 2426, 66341, 236793, 236743, 236778, 236764, 80086, 236793, 236743, 236800, 236764, 26431, 236761, 4298, 236764, 974, 506, 1873, 7606, 573, 600, 3207, 834, 564, 1281, 1144, 531, 3294, 573, 1041, 3727, 607, 87069, 703, 3008, 506, 8858, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7513, 236779, 5640, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 71087, 28873, 827, 623, 27495, 1083, 236743, 236832, 236828, 236764, 623, 6805, 1083, 623, 236811, 827, 623, 7777, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 623, 236825, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 25938, 106, 107, 105, 4368, 107, 11069, 4940, 1548, 563, 5213, 236778, 125546, 834, 692, 236789, 500, 16398, 531, 5213, 71087, 28873, 1018, 236888, 236743, 244746, 108, 1018, 8782, 28789, 528, 80086, 53121, 138, 107, 246340, 238178, 35267, 236787, 236743, 236832, 236828, 237366, 236811, 568, 7783, 586, 130915, 236768, 138, 107, 246434, 208719, 236787, 236743, 236825, 236810, 236908, 138, 107, 246160, 238178, 18324, 236787, 236743, 236770, 236771, 44269, 138, 108, 12415, 2214, 12627, 573, 496, 9650, 142759, 3727, 607, 87069, 703, 237028, 60766, 496, 2214, 16621, 768, 506, 44185, 31069, 872, 236888, 28819, 822, 7946, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6972, 529, 4030, 496, 2268, 7946, 672, 9735, 531, 886, 529, 506, 14942, 9979, 237028, 54912, 39015, 236764, 80086, 236764, 653, 26431, 237028, 1071, 11327, 506, 17110, 7088, 1133, 564, 236789, 560, 1010, 67301, 1003, 236761, 564, 236789, 236757, 711, 2889, 837, 886, 531, 4351, 236764, 834, 1531, 236789, 236751, 1386, 625, 4940, 236761, 3199, 611, 8729, 496, 4940, 1548, 1534, 236743, 236770, 532, 236743, 236800, 531, 10741, 236881, 1637, 625, 236789, 236751, 236743, 236770, 236764, 564, 236789, 859, 2426, 66341, 236793, 236743, 236778, 236764, 80086, 236793, 236743, 236800, 236764, 26431, 236761, 4298, 236764, 974, 506, 1873, 7606, 573, 600, 3207, 834, 564, 1281, 1144, 531, 3294, 573, 1041, 3727, 607, 87069, 703, 3008, 506, 8858, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7513, 236779, 5640, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 71087, 28873, 827, 623, 27495, 1083, 236743, 236832, 236828, 236764, 623, 6805, 1083, 623, 236811, 827, 623, 7777, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 623, 236825, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 25938, 106, 107, 105, 4368, 107, 11069, 4940, 1548, 563, 5213, 236778, 125546, 834, 692, 236789, 500, 16398, 531, 5213, 71087, 28873, 1018, 236888, 236743, 244746, 108, 1018, 8782, 28789, 528, 80086, 53121, 138, 107, 246340, 238178, 35267, 236787, 236743, 236832, 236828, 237366, 236811, 568, 7783, 586, 130915, 236768, 138, 107, 246434, 208719, 236787, 236743, 236825, 236810, 236908, 138, 107, 246160, 238178, 18324, 236787, 236743, 236770, 236771, 44269, 138, 108, 12415, 2214, 12627, 573, 496, 9650, 142759, 3727, 607, 87069, 703, 237028, 60766, 496, 2214, 16621, 768, 506, 44185, 31069, 872, 236888, 28819, 822, 7946, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236858, 236757, 2844, 580, 496, 2203, 531, 1601, 1023, 18341, 2434, 2731, 496, 7715, 236772, 18865, 9470, 15154, 2460, 236761, 564, 1202, 1156, 2432, 236787, 236743, 236770, 236761, 31727, 573, 506, 6387, 165996, 818, 172253, 529, 48648, 146395, 147698, 531, 1460, 768, 625, 236858, 236751, 496, 1535, 4691, 573, 496, 2434, 21199, 568, 25142, 625, 236858, 236751, 60991, 532, 100146, 607, 1023, 2544, 236858, 236751, 2979, 769, 236743, 236778, 236761, 14040, 2862, 6527, 573, 5213, 31823, 1018, 568, 227346, 236772, 66282, 236768, 532, 5213, 6786, 2457, 1018, 568, 236780, 28961, 236768, 531, 10769, 910, 3736, 618, 3435, 80293, 573, 1023, 42688, 4867, 7675, 236761, 28344, 611, 12270, 1800, 506, 5213, 21000, 10595, 1018, 532, 5213, 14973, 1262, 1018, 657, 506, 1638, 990, 236881, 564, 236858, 236753, 2765, 531, 18840, 1091, 3075, 531, 1386, 496, 25809, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 31823, 827, 623, 9707, 1083, 236743, 236825, 236778, 236761, 236812, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236810, 236819, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 2750, 1236, 827, 623, 39588, 1083, 623, 69902, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 6786, 2457, 827, 623, 10618, 1083, 623, 2750, 1236, 827, 623, 9707, 1083, 236743, 236810, 236778, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 2478, 1083, 623, 6665, 236779, 2478, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 506, 1873, 2862, 6527, 573, 66435, 236772, 66282, 568, 31823, 236768, 532, 71522, 568, 6786, 2457, 236768, 573, 611, 236787, 108, 1018, 27320, 5774, 53121, 107, 236770, 236761, 5213, 31823, 568, 227346, 236772, 66282, 62902, 138, 107, 139, 11280, 236787, 609, 236825, 236778, 236761, 236812, 236810, 1109, 129969, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236810, 236787, 236810, 236819, 59528, 1109, 19651, 236787, 200273, 108, 236778, 236761, 5213, 6786, 2457, 568, 236780, 28961, 62902, 138, 107, 139, 11280, 236787, 609, 236810, 236778, 236761, 236812, 236810, 1109, 129969, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236825, 236787, 236770, 236810, 59528, 1109, 59547, 236787, 23058, 108, 7243, 108, 1018, 9272, 50228, 573, 24580, 31727, 53121, 138, 107, 818, 1458, 7087, 496, 3530, 12334, 236789, 236751, 1463, 531, 12270, 10595, 573, 808, 818, 172253, 529, 48648, 146395, 22429, 28344, 611, 2847, 506, 1463, 529, 496, 12334, 568, 236744, 236761, 236759, 1126, 623, 96627, 189816, 1373, 653, 496, 12373, 3540, 3738, 568, 236744, 236761, 236759, 1126, 623, 2783, 21845, 5089, 1373, 236881, 1174, 795, 1601, 786, 33205, 506, 1346, 7798, 9697, 573, 822, 2434, 21199, 12207, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236858, 236757, 2844, 580, 496, 2203, 531, 1601, 1023, 18341, 2434, 2731, 496, 7715, 236772, 18865, 9470, 15154, 2460, 236761, 564, 1202, 1156, 2432, 236787, 236743, 236770, 236761, 31727, 573, 506, 6387, 165996, 818, 172253, 529, 48648, 146395, 147698, 531, 1460, 768, 625, 236858, 236751, 496, 1535, 4691, 573, 496, 2434, 21199, 568, 25142, 625, 236858, 236751, 60991, 532, 100146, 607, 1023, 2544, 236858, 236751, 2979, 769, 236743, 236778, 236761, 14040, 2862, 6527, 573, 5213, 31823, 1018, 568, 227346, 236772, 66282, 236768, 532, 5213, 6786, 2457, 1018, 568, 236780, 28961, 236768, 531, 10769, 910, 3736, 618, 3435, 80293, 573, 1023, 42688, 4867, 7675, 236761, 28344, 611, 12270, 1800, 506, 5213, 21000, 10595, 1018, 532, 5213, 14973, 1262, 1018, 657, 506, 1638, 990, 236881, 564, 236858, 236753, 2765, 531, 18840, 1091, 3075, 531, 1386, 496, 25809, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 31823, 827, 623, 9707, 1083, 236743, 236825, 236778, 236761, 236812, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236810, 236819, 236787, 236771, 236771, 236953, 827, 623, 10618, 1083, 623, 2750, 1236, 827, 623, 39588, 1083, 623, 69902, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 6786, 2457, 827, 623, 10618, 1083, 623, 2750, 1236, 827, 623, 9707, 1083, 236743, 236810, 236778, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 2478, 1083, 623, 6665, 236779, 2478, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 52236, 506, 1873, 2862, 6527, 573, 66435, 236772, 66282, 568, 31823, 236768, 532, 71522, 568, 6786, 2457, 236768, 573, 611, 236787, 108, 1018, 27320, 5774, 53121, 107, 236770, 236761, 5213, 31823, 568, 227346, 236772, 66282, 62902, 138, 107, 139, 11280, 236787, 609, 236825, 236778, 236761, 236812, 236810, 1109, 129969, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236810, 236787, 236810, 236819, 59528, 1109, 19651, 236787, 200273, 108, 236778, 236761, 5213, 6786, 2457, 568, 236780, 28961, 62902, 138, 107, 139, 11280, 236787, 609, 236810, 236778, 236761, 236812, 236810, 1109, 129969, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236825, 236787, 236770, 236810, 59528, 1109, 59547, 236787, 23058, 108, 7243, 108, 1018, 9272, 50228, 573, 24580, 31727, 53121, 138, 107, 818, 1458, 7087, 496, 3530, 12334, 236789, 236751, 1463, 531, 12270, 10595, 573, 808, 818, 172253, 529, 48648, 146395, 22429, 28344, 611, 2847, 506, 1463, 529, 496, 12334, 568, 236744, 236761, 236759, 1126, 623, 96627, 189816, 1373, 653, 496, 12373, 3540, 3738, 568, 236744, 236761, 236759, 1126, 623, 2783, 21845, 5089, 1373, 236881, 1174, 795, 1601, 786, 33205, 506, 1346, 7798, 9697, 573, 822, 2434, 21199, 12207, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 21037, 496, 3605, 529, 4108, 236772, 128601, 10103, 573, 496, 3399, 3988, 2203, 236761, 5315, 236764, 18840, 4560, 1411, 8358, 236761, 854, 236786, 10540, 236770, 236761, 2720, 236812, 532, 4560, 1411, 8358, 236761, 854, 236786, 10540, 236778, 236761, 2720, 236812, 573, 14481, 3004, 1699, 188065, 12692, 236761, 1637, 3477, 10739, 563, 19070, 653, 20269, 8487, 236764, 20327, 531, 506, 2148, 886, 236761, 1701, 6595, 18025, 236764, 25774, 496, 2072, 20104, 13207, 20875, 607, 99885, 532, 10805, 14900, 2787, 236743, 236828, 236810, 9525, 36353, 506, 1626, 3938, 607, 496, 12323, 2633, 532, 3204, 1041, 1463, 623, 29518, 236775, 528, 506, 2354, 12093, 236761, 3792, 786, 1281, 6842, 768, 1027, 8330, 4342, 21426, 1913, 8487, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10540, 236770, 236761, 2720, 236812, 827, 623, 4818, 1083, 623, 40812, 827, 623, 121774, 236779, 75615, 1083, 78493, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236800, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236800, 236771, 827, 623, 58578, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236810, 1263, 3714, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236812, 236787, 236770, 236810, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236812, 236787, 236778, 236810, 827, 623, 58578, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236771, 104960, 623, 6011, 1083, 3714, 6725, 236779, 75615, 1083, 236743, 236778, 236764, 623, 11480, 236779, 58578, 236779, 75615, 1083, 236743, 236770, 236764, 623, 92973, 236779, 4818, 1083, 623, 114292, 236779, 37716, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10540, 236778, 236761, 2720, 236812, 827, 623, 4818, 1083, 623, 10934, 827, 623, 121774, 236779, 75615, 1083, 78493, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236810, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236819, 1263, 3714, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236778, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236832, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236825, 104960, 623, 6011, 1083, 3714, 6725, 236779, 75615, 1083, 236743, 236778, 236764, 623, 11480, 236779, 58578, 236779, 25541, 1083, 236743, 236778, 236764, 623, 92973, 236779, 4818, 1083, 623, 9181, 236772, 128304, 127096, 106, 107, 105, 4368, 107, 1018, 29518, 236789, 236751, 16748, 73998, 567, 8708, 1018, 138, 107, 236829, 46640, 6022, 7879, 753, 646, 689, 665, 49549, 13768, 236829, 138, 108, 236909, 5213, 10485, 1018, 148, 236909, 5213, 172162, 66056, 1018, 142, 236909, 5213, 229806, 1018, 1109, 5213, 70408, 18365, 1018, 1109, 138, 107, 236909, 2819, 33129, 236909, 2819, 40673, 236909, 2819, 236909, 2819, 1611, 236909, 138, 107, 236909, 2948, 236770, 236761, 2720, 236812, 147, 236909, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236800, 753, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236800, 236771, 143, 236909, 236743, 236819, 236778, 236761, 236810, 236908, 146, 236909, 90434, 32180, 146, 236909, 138, 107, 236909, 158, 236909, 236743, 236771, 236771, 236787, 236771, 236812, 236787, 236770, 236810, 753, 236743, 236771, 236771, 236787, 236771, 236812, 236787, 236778, 236810, 143, 236909, 236743, 236828, 236828, 236761, 236771, 236908, 146, 236909, 160, 236909, 138, 107, 236909, 2948, 236778, 236761, 2720, 236812, 147, 236909, 236743, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236771, 753, 236743, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236810, 143, 236909, 236743, 236828, 236819, 236761, 236771, 236908, 146, 236909, 10645, 236772, 94971, 23941, 146, 236909, 138, 107, 236909, 158, 236909, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236778, 753, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236832, 143, 236909, 236743, 236828, 236825, 236761, 236771, 236908, 146, 236909, 160, 236909, 138, 108, 1018, 24355, 1018, 138, 107, 236772, 5213, 10540, 236770, 236761, 2720, 236812, 66515, 8512, 20875, 13207, 607, 10805, 57846, 236828, 236810, 9525, 63040, 4981, 236787, 90434, 32180, 236761, 138, 107, 236772, 5213, 10540, 236778, 236761, 2720, 236812, 66515, 8512, 20875, 13207, 607, 10805, 57846, 236828, 236810, 9525, 63040, 4981, 236787, 10645, 236772, 94971, 23941, 236761, 138, 108, 1018, 58972, 24118, 1018, 138, 107, 236772, 10508, 10103, 18761, 10428, 607, 951, 9825, 236761, 138, 107, 236772, 11994, 236743, 236778, 7087, 13258, 88374, 2970, 2779, 531, 1908, 236772, 92973, 236761, 138, 108, 6481, 786, 1281, 768, 3342, 3671, 563, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 21037, 496, 3605, 529, 4108, 236772, 128601, 10103, 573, 496, 3399, 3988, 2203, 236761, 5315, 236764, 18840, 4560, 1411, 8358, 236761, 854, 236786, 10540, 236770, 236761, 2720, 236812, 532, 4560, 1411, 8358, 236761, 854, 236786, 10540, 236778, 236761, 2720, 236812, 573, 14481, 3004, 1699, 188065, 12692, 236761, 1637, 3477, 10739, 563, 19070, 653, 20269, 8487, 236764, 20327, 531, 506, 2148, 886, 236761, 1701, 6595, 18025, 236764, 25774, 496, 2072, 20104, 13207, 20875, 607, 99885, 532, 10805, 14900, 2787, 236743, 236828, 236810, 9525, 36353, 506, 1626, 3938, 607, 496, 12323, 2633, 532, 3204, 1041, 1463, 623, 29518, 236775, 528, 506, 2354, 12093, 236761, 3792, 786, 1281, 6842, 768, 1027, 8330, 4342, 21426, 1913, 8487, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10540, 236770, 236761, 2720, 236812, 827, 623, 4818, 1083, 623, 40812, 827, 623, 121774, 236779, 75615, 1083, 78493, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236800, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236800, 236771, 827, 623, 58578, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236810, 1263, 3714, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236812, 236787, 236770, 236810, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236812, 236787, 236778, 236810, 827, 623, 58578, 236779, 8318, 1083, 236743, 236828, 236828, 236761, 236771, 104960, 623, 6011, 1083, 3714, 6725, 236779, 75615, 1083, 236743, 236778, 236764, 623, 11480, 236779, 58578, 236779, 75615, 1083, 236743, 236770, 236764, 623, 92973, 236779, 4818, 1083, 623, 114292, 236779, 37716, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10540, 236778, 236761, 2720, 236812, 827, 623, 4818, 1083, 623, 10934, 827, 623, 121774, 236779, 75615, 1083, 78493, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236810, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236819, 1263, 3714, 3041, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236778, 827, 623, 643, 236779, 2289, 1083, 623, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236832, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236825, 104960, 623, 6011, 1083, 3714, 6725, 236779, 75615, 1083, 236743, 236778, 236764, 623, 11480, 236779, 58578, 236779, 25541, 1083, 236743, 236778, 236764, 623, 92973, 236779, 4818, 1083, 623, 9181, 236772, 128304, 127096, 106, 107, 105, 4368, 107, 1018, 29518, 236789, 236751, 16748, 73998, 567, 8708, 1018, 138, 107, 236829, 46640, 6022, 7879, 753, 646, 689, 665, 49549, 13768, 236829, 138, 108, 236909, 5213, 10485, 1018, 148, 236909, 5213, 172162, 66056, 1018, 142, 236909, 5213, 229806, 1018, 1109, 5213, 70408, 18365, 1018, 1109, 138, 107, 236909, 2819, 33129, 236909, 2819, 40673, 236909, 2819, 236909, 2819, 1611, 236909, 138, 107, 236909, 2948, 236770, 236761, 2720, 236812, 147, 236909, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236800, 753, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236800, 236771, 143, 236909, 236743, 236819, 236778, 236761, 236810, 236908, 146, 236909, 90434, 32180, 146, 236909, 138, 107, 236909, 158, 236909, 236743, 236771, 236771, 236787, 236771, 236812, 236787, 236770, 236810, 753, 236743, 236771, 236771, 236787, 236771, 236812, 236787, 236778, 236810, 143, 236909, 236743, 236828, 236828, 236761, 236771, 236908, 146, 236909, 160, 236909, 138, 107, 236909, 2948, 236778, 236761, 2720, 236812, 147, 236909, 236743, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236771, 753, 236743, 236771, 236771, 236787, 236771, 236771, 236787, 236770, 236810, 143, 236909, 236743, 236828, 236819, 236761, 236771, 236908, 146, 236909, 10645, 236772, 94971, 23941, 146, 236909, 138, 107, 236909, 158, 236909, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236778, 753, 236743, 236771, 236771, 236787, 236771, 236770, 236787, 236778, 236832, 143, 236909, 236743, 236828, 236825, 236761, 236771, 236908, 146, 236909, 160, 236909, 138, 108, 1018, 24355, 1018, 138, 107, 236772, 5213, 10540, 236770, 236761, 2720, 236812, 66515, 8512, 20875, 13207, 607, 10805, 57846, 236828, 236810, 9525, 63040, 4981, 236787, 90434, 32180, 236761, 138, 107, 236772, 5213, 10540, 236778, 236761, 2720, 236812, 66515, 8512, 20875, 13207, 607, 10805, 57846, 236828, 236810, 9525, 63040, 4981, 236787, 10645, 236772, 94971, 23941, 236761, 138, 108, 1018, 58972, 24118, 1018, 138, 107, 236772, 10508, 10103, 18761, 10428, 607, 951, 9825, 236761, 138, 107, 236772, 11994, 236743, 236778, 7087, 13258, 88374, 2970, 2779, 531, 1908, 236772, 92973, 236761, 138, 108, 6481, 786, 1281, 768, 3342, 3671, 563, 4354, 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, 1873, 2862, 2436, 1262, 573, 496, 2544, 2760, 623, 4722, 37403, 2098, 840, 564, 1537, 236789, 236745, 735, 910, 84390, 5404, 31380, 236761, 28344, 611, 1601, 786, 1586, 506, 2862, 3385, 532, 12376, 5542, 573, 22616, 37403, 236881, 564, 1751, 910, 84390, 2473, 1502, 607, 623, 78952, 236775, 840, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 3714, 1201, 1083, 623, 4722, 5661, 40853, 236764, 5295, 10498, 623, 207339, 1083, 3714, 64939, 236779, 22037, 1083, 623, 78952, 827, 623, 35992, 1083, 623, 3118, 236778, 236812, 236832, 236800, 236825, 236770, 236770, 236771, 236825, 236832, 827, 623, 16771, 760, 1083, 623, 236778, 236812, 236832, 236800, 236825, 236770, 236770, 236771, 236825, 23179, 623, 78024, 236779, 59137, 1083, 3714, 57512, 1083, 623, 40830, 226246, 827, 623, 78024, 236779, 4043, 1083, 623, 126637, 827, 623, 78024, 1083, 623, 236776, 2987, 1472, 23179, 623, 16350, 236779, 1516, 1083, 3714, 4002, 236779, 14973, 236779, 9707, 1083, 3714, 13304, 1083, 236743, 236800, 236828, 236761, 236810, 236778, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 131770, 236779, 20845, 1083, 3714, 32320, 1083, 236743, 236810, 236778, 236812, 236770, 236800, 236771, 236771, 236764, 623, 18553, 236779, 32320, 236779, 20845, 1083, 236743, 236812, 236828, 236819, 236778, 236770, 236771, 236771, 1263, 623, 16350, 236779, 5565, 1083, 3714, 13304, 1083, 236743, 236778, 236828, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 236799, 25374, 23058, 236775, 112679, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2862, 2436, 1262, 573, 22616, 5661, 40853, 236764, 5295, 236761, 568, 64939, 236787, 5213, 78952, 119542, 563, 618, 5238, 236787, 108, 236772, 5213, 8782, 13827, 14584, 66515, 609, 236800, 236828, 236761, 236810, 236778, 23058, 138, 107, 236772, 5213, 145896, 26036, 66515, 236743, 236810, 236764, 236778, 236812, 236770, 236764, 236800, 236771, 236771, 568, 42362, 236768, 138, 107, 236772, 5213, 40219, 6395, 66515, 609, 236778, 236828, 236761, 236812, 236810, 93010, 23058, 138, 108, 2094, 1262, 691, 52236, 618, 529, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 84750, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 1873, 2862, 2436, 1262, 573, 496, 2544, 2760, 623, 4722, 37403, 2098, 840, 564, 1537, 236789, 236745, 735, 910, 84390, 5404, 31380, 236761, 28344, 611, 1601, 786, 1586, 506, 2862, 3385, 532, 12376, 5542, 573, 22616, 37403, 236881, 564, 1751, 910, 84390, 2473, 1502, 607, 623, 78952, 236775, 840, 564, 236789, 236757, 711, 236743, 236770, 236771, 236771, 236908, 2889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 3714, 1201, 1083, 623, 4722, 5661, 40853, 236764, 5295, 10498, 623, 207339, 1083, 3714, 64939, 236779, 22037, 1083, 623, 78952, 827, 623, 35992, 1083, 623, 3118, 236778, 236812, 236832, 236800, 236825, 236770, 236770, 236771, 236825, 236832, 827, 623, 16771, 760, 1083, 623, 236778, 236812, 236832, 236800, 236825, 236770, 236770, 236771, 236825, 23179, 623, 78024, 236779, 59137, 1083, 3714, 57512, 1083, 623, 40830, 226246, 827, 623, 78024, 236779, 4043, 1083, 623, 126637, 827, 623, 78024, 1083, 623, 236776, 2987, 1472, 23179, 623, 16350, 236779, 1516, 1083, 3714, 4002, 236779, 14973, 236779, 9707, 1083, 3714, 13304, 1083, 236743, 236800, 236828, 236761, 236810, 236778, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 131770, 236779, 20845, 1083, 3714, 32320, 1083, 236743, 236810, 236778, 236812, 236770, 236800, 236771, 236771, 236764, 623, 18553, 236779, 32320, 236779, 20845, 1083, 236743, 236812, 236828, 236819, 236778, 236770, 236771, 236771, 1263, 623, 16350, 236779, 5565, 1083, 3714, 13304, 1083, 236743, 236778, 236828, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 236799, 25374, 23058, 236775, 112679, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2862, 2436, 1262, 573, 22616, 5661, 40853, 236764, 5295, 236761, 568, 64939, 236787, 5213, 78952, 119542, 563, 618, 5238, 236787, 108, 236772, 5213, 8782, 13827, 14584, 66515, 609, 236800, 236828, 236761, 236810, 236778, 23058, 138, 107, 236772, 5213, 145896, 26036, 66515, 236743, 236810, 236764, 236778, 236812, 236770, 236764, 236800, 236771, 236771, 568, 42362, 236768, 138, 107, 236772, 5213, 40219, 6395, 66515, 609, 236778, 236828, 236761, 236812, 236810, 93010, 23058, 138, 108, 2094, 1262, 691, 52236, 618, 529, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 84750, 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, 5004, 496, 40718, 2948, 529, 496, 63004, 22637, 1699, 28239, 7913, 13696, 684, 20587, 72558, 236858, 236751, 130235, 236764, 532, 564, 1461, 531, 1407, 625, 657, 1041, 61537, 236858, 236751, 3399, 1610, 2460, 2148, 2069, 236761, 3199, 611, 6463, 506, 2948, 573, 786, 532, 2426, 1144, 3567, 529, 506, 40718, 9299, 625, 7087, 531, 1441, 35495, 236881, 669, 3205, 563, 870, 2574, 1411, 2769, 236761, 177928, 236761, 854, 62509, 67328, 42098, 2302, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 5457, 2574, 1411, 2769, 236761, 177928, 236761, 854, 62509, 67328, 42098, 2302, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 769, 564, 236858, 236753, 17554, 573, 506, 2129, 531, 79198, 1913, 506, 11048, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 1516, 1083, 3714, 3250, 1083, 623, 236847, 98237, 20349, 824, 4585, 88970, 684, 20587, 72558, 827, 623, 19001, 1083, 623, 236825, 236771, 236751, 827, 623, 76562, 1083, 3714, 11668, 1083, 12948, 67328, 42098, 2302, 827, 623, 76647, 1083, 623, 236778, 236761, 236770, 236792, 23179, 623, 19294, 236779, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 236786, 19294, 827, 623, 2164, 236779, 2086, 1083, 623, 236778, 236828, 236761, 236812, 11792, 827, 623, 5939, 1083, 623, 5153, 236812, 827, 623, 35396, 1083, 623, 236770, 236771, 236828, 236771, 236781, 236770, 236819, 236778, 236771, 23179, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 10485, 32773, 10428, 236761, 7918, 236787, 40718, 9299, 3567, 6035, 659, 711, 5012, 528, 672, 3072, 618, 901, 659, 711, 912, 529, 506, 2487, 28436, 699, 672, 5904, 236761, 41152, 822, 55386, 3453, 12765, 13945, 236812, 6518, 532, 1494, 236772, 35396, 2948, 16852, 573, 7080, 11048, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 3677, 236779, 4406, 1083, 623, 236766, 236778, 236761, 236800, 236761, 236810, 25938, 106, 107, 105, 4368, 107, 818, 40718, 2948, 815, 1010, 10428, 32773, 532, 563, 5508, 573, 822, 61537, 2460, 236888, 5715, 659, 506, 2307, 4889, 236787, 108, 1018, 10485, 67831, 53121, 107, 236772, 17310, 236787, 623, 236847, 98237, 20349, 824, 4585, 88970, 684, 20587, 72558, 236775, 107, 236772, 49483, 236787, 236743, 236825, 236771, 9093, 107, 236772, 47278, 236787, 236743, 236770, 236771, 236828, 236771, 236781, 236770, 236819, 236778, 236771, 568, 24417, 236768, 107, 236772, 7992, 19511, 236787, 236743, 236778, 236828, 236761, 236812, 11792, 107, 236772, 36353, 236787, 13945, 236812, 107, 236772, 60977, 236787, 1392, 67328, 42098, 2302, 568, 236778, 236761, 236770, 236792, 23073, 236768, 108, 1018, 164800, 91330, 53121, 107, 236770, 236761, 41152, 822, 11048, 4744, 12765, 13945, 236812, 6518, 532, 236743, 236770, 236771, 236828, 236771, 236781, 236770, 236819, 236778, 236771, 9314, 107, 236778, 236761, 14040, 40718, 11994, 10237, 19040, 9299, 3567, 236787, 5213, 236766, 236778, 236761, 236800, 236761, 236810, 1018, 107, 236800, 236761, 2301, 3530, 9299, 3567, 6035, 659, 5143, 607, 672, 2948, 2129, 4850, 107, 236812, 236761, 1701, 7080, 55386, 236764, 1594, 580, 822, 10518, 1458, 61347, 108, 818, 2948, 2129, 563, 2487, 657, 236787, 870, 18086, 10297, 5457, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 236786, 19294, 236768, 138, 107, 236769, 21672, 236787, 1174, 1982, 6463, 3205, 1149, 63966, 1308, 236743, 236778, 236812, 3885, 753, 6463, 39230, 236768, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 5004, 496, 40718, 2948, 529, 496, 63004, 22637, 1699, 28239, 7913, 13696, 684, 20587, 72558, 236858, 236751, 130235, 236764, 532, 564, 1461, 531, 1407, 625, 657, 1041, 61537, 236858, 236751, 3399, 1610, 2460, 2148, 2069, 236761, 3199, 611, 6463, 506, 2948, 573, 786, 532, 2426, 1144, 3567, 529, 506, 40718, 9299, 625, 7087, 531, 1441, 35495, 236881, 669, 3205, 563, 870, 2574, 1411, 2769, 236761, 177928, 236761, 854, 62509, 67328, 42098, 2302, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 5457, 2574, 1411, 2769, 236761, 177928, 236761, 854, 62509, 67328, 42098, 2302, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 769, 564, 236858, 236753, 17554, 573, 506, 2129, 531, 79198, 1913, 506, 11048, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10540, 236779, 1516, 1083, 3714, 3250, 1083, 623, 236847, 98237, 20349, 824, 4585, 88970, 684, 20587, 72558, 827, 623, 19001, 1083, 623, 236825, 236771, 236751, 827, 623, 76562, 1083, 3714, 11668, 1083, 12948, 67328, 42098, 2302, 827, 623, 76647, 1083, 623, 236778, 236761, 236770, 236792, 23179, 623, 19294, 236779, 2451, 1083, 623, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 236786, 19294, 827, 623, 2164, 236779, 2086, 1083, 623, 236778, 236828, 236761, 236812, 11792, 827, 623, 5939, 1083, 623, 5153, 236812, 827, 623, 35396, 1083, 623, 236770, 236771, 236828, 236771, 236781, 236770, 236819, 236778, 236771, 23179, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 10485, 32773, 10428, 236761, 7918, 236787, 40718, 9299, 3567, 6035, 659, 711, 5012, 528, 672, 3072, 618, 901, 659, 711, 912, 529, 506, 2487, 28436, 699, 672, 5904, 236761, 41152, 822, 55386, 3453, 12765, 13945, 236812, 6518, 532, 1494, 236772, 35396, 2948, 16852, 573, 7080, 11048, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 3677, 236779, 4406, 1083, 623, 236766, 236778, 236761, 236800, 236761, 236810, 25938, 106, 107, 105, 4368, 107, 818, 40718, 2948, 815, 1010, 10428, 32773, 532, 563, 5508, 573, 822, 61537, 2460, 236888, 5715, 659, 506, 2307, 4889, 236787, 108, 1018, 10485, 67831, 53121, 107, 236772, 17310, 236787, 623, 236847, 98237, 20349, 824, 4585, 88970, 684, 20587, 72558, 236775, 107, 236772, 49483, 236787, 236743, 236825, 236771, 9093, 107, 236772, 47278, 236787, 236743, 236770, 236771, 236828, 236771, 236781, 236770, 236819, 236778, 236771, 568, 24417, 236768, 107, 236772, 7992, 19511, 236787, 236743, 236778, 236828, 236761, 236812, 11792, 107, 236772, 36353, 236787, 13945, 236812, 107, 236772, 60977, 236787, 1392, 67328, 42098, 2302, 568, 236778, 236761, 236770, 236792, 23073, 236768, 108, 1018, 164800, 91330, 53121, 107, 236770, 236761, 41152, 822, 11048, 4744, 12765, 13945, 236812, 6518, 532, 236743, 236770, 236771, 236828, 236771, 236781, 236770, 236819, 236778, 236771, 9314, 107, 236778, 236761, 14040, 40718, 11994, 10237, 19040, 9299, 3567, 236787, 5213, 236766, 236778, 236761, 236800, 236761, 236810, 1018, 107, 236800, 236761, 2301, 3530, 9299, 3567, 6035, 659, 5143, 607, 672, 2948, 2129, 4850, 107, 236812, 236761, 1701, 7080, 55386, 236764, 1594, 580, 822, 10518, 1458, 61347, 108, 818, 2948, 2129, 563, 2487, 657, 236787, 870, 18086, 10297, 5457, 2574, 1411, 177928, 236761, 854, 236786, 10540, 236786, 236770, 236778, 236800, 236812, 236810, 236786, 19294, 236768, 138, 107, 236769, 21672, 236787, 1174, 1982, 6463, 3205, 1149, 63966, 1308, 236743, 236778, 236812, 3885, 753, 6463, 39230, 236768, 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, 1537, 236789, 236745, 735, 506, 20478, 531, 1900, 19406, 653, 12740, 607, 8398, 3019, 236761, 3153, 236764, 564, 740, 1601, 17866, 1816, 1534, 15579, 768, 611, 1202, 600, 236888, 21284, 611, 1133, 786, 531, 17866, 2613, 573, 611, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 1537, 236789, 236745, 735, 506, 20478, 531, 1900, 19406, 653, 12740, 607, 8398, 3019, 236761, 3153, 236764, 564, 740, 1601, 17866, 1816, 1534, 15579, 768, 611, 1202, 600, 236888, 21284, 611, 1133, 786, 531, 17866, 2613, 573, 611, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 699, 506, 20480, 19406, 1977, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 1900, 19406, 653, 12740, 607, 8398, 24121, 3797, 236761, 3551, 1873, 18544, 563, 5809, 531, 9795, 611, 1586, 23642, 2721, 580, 13153, 1699, 506, 3927, 236779, 42352, 5904, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 1586, 496, 19406, 15028, 611, 1451, 1386, 657, 2033, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 699, 506, 20480, 19406, 1977, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 506, 20478, 531, 1900, 19406, 653, 12740, 607, 8398, 24121, 3797, 236761, 3551, 1873, 18544, 563, 5809, 531, 9795, 611, 1586, 23642, 2721, 580, 13153, 1699, 506, 3927, 236779, 42352, 5904, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 1586, 496, 19406, 15028, 611, 1451, 1386, 657, 2033, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 192210, 236772, 68122, 14134, 2460, 600, 28619, 1041, 2765, 573, 2263, 27249, 532, 11690, 5085, 236761, 5315, 236764, 1161, 5213, 2305, 236779, 42352, 236779, 2003, 236779, 230586, 1018, 607, 27249, 1076, 531, 623, 236780, 1196, 602, 236775, 531, 1586, 496, 83862, 13415, 573, 11383, 531, 4059, 1868, 236772, 68492, 236761, 9920, 692, 735, 506, 15028, 236764, 1161, 5213, 7125, 236779, 23245, 1018, 607, 506, 10365, 4563, 5853, 573, 506, 211165, 2474, 943, 4556, 528, 14148, 11393, 6914, 531, 2426, 768, 625, 236858, 236751, 2487, 573, 22293, 506, 2460, 236761, 1174, 1595, 236764, 692, 740, 6727, 506, 13294, 607, 496, 41997, 11690, 26149, 7075, 236888, 3792, 236858, 236751, 1502, 607, 506, 15028, 26367, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 236780, 1196, 602, 5561, 4027, 42949, 827, 623, 77095, 1083, 11058, 4142, 9342, 12480, 81201, 827, 623, 236780, 1196, 602, 90927, 22064, 827, 623, 200847, 129882, 827, 623, 5359, 788, 13950, 827, 623, 94438, 13950, 827, 623, 89754, 120602, 827, 623, 162904, 17087, 22300, 827, 623, 39248, 827, 623, 8916, 22300, 827, 623, 85864, 742, 4446, 14255, 623, 96654, 1083, 623, 236770, 236761, 220283, 6171, 8603, 94534, 1024, 1494, 5387, 236761, 236743, 236778, 236761, 70535, 784, 6299, 13153, 532, 8706, 8990, 12480, 81201, 236761, 236743, 236800, 236761, 85236, 12480, 528, 3425, 94534, 573, 236743, 236800, 236772, 236812, 4310, 810, 2678, 3097, 174954, 37163, 6667, 236761, 236743, 236812, 236761, 65600, 5387, 532, 3944, 1343, 3097, 6145, 4022, 20881, 236743, 236770, 236825, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 236743, 236810, 236761, 10973, 236743, 236810, 4310, 1680, 105170, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236810, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 27930, 521, 2474, 943, 4556, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 211165, 842, 236764, 14148, 11393, 6914, 236764, 11404, 827, 623, 4881, 236779, 6163, 236779, 18582, 1083, 1847, 236764, 623, 11607, 236779, 3906, 1083, 623, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 48578, 1083, 236743, 236778, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 192210, 5561, 4027, 42949, 15028, 563, 4011, 573, 496, 1868, 236772, 68492, 13294, 236764, 532, 211165, 2474, 943, 4556, 563, 2487, 531, 4253, 822, 2460, 236888, 5715, 236789, 236751, 496, 12323, 236787, 108, 1018, 64020, 70731, 53121, 107, 236772, 25735, 4866, 568, 236770, 236810, 46205, 236768, 532, 3944, 990, 568, 236770, 236771, 46205, 236768, 107, 236772, 4819, 236772, 56874, 13415, 607, 16627, 192210, 34894, 107, 236772, 45891, 573, 11690, 2299, 12284, 108, 1018, 6375, 20303, 53121, 107, 236772, 5213, 1567, 53121, 211165, 2474, 943, 4556, 568, 54337, 11393, 6914, 236764, 11404, 236768, 107, 236772, 5213, 82502, 53121, 5827, 531, 236743, 236778, 236771, 236771, 12286, 107, 236772, 5213, 11431, 53121, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 107, 236772, 5213, 9604, 53121, 236743, 236770, 236778, 236800, 211165, 842, 236764, 14148, 11393, 6914, 236764, 11404, 108, 38786, 611, 1133, 1601, 607, 2148, 6555, 1133, 16329, 15830, 14069, 236764, 64451, 13294, 33972, 236764, 653, 22169, 11690, 14134, 5085, 600, 6727, 607, 672, 4563, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 192210, 236772, 68122, 14134, 2460, 600, 28619, 1041, 2765, 573, 2263, 27249, 532, 11690, 5085, 236761, 5315, 236764, 1161, 5213, 2305, 236779, 42352, 236779, 2003, 236779, 230586, 1018, 607, 27249, 1076, 531, 623, 236780, 1196, 602, 236775, 531, 1586, 496, 83862, 13415, 573, 11383, 531, 4059, 1868, 236772, 68492, 236761, 9920, 692, 735, 506, 15028, 236764, 1161, 5213, 7125, 236779, 23245, 1018, 607, 506, 10365, 4563, 5853, 573, 506, 211165, 2474, 943, 4556, 528, 14148, 11393, 6914, 531, 2426, 768, 625, 236858, 236751, 2487, 573, 22293, 506, 2460, 236761, 1174, 1595, 236764, 692, 740, 6727, 506, 13294, 607, 496, 41997, 11690, 26149, 7075, 236888, 3792, 236858, 236751, 1502, 607, 506, 15028, 26367, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 236780, 1196, 602, 5561, 4027, 42949, 827, 623, 77095, 1083, 11058, 4142, 9342, 12480, 81201, 827, 623, 236780, 1196, 602, 90927, 22064, 827, 623, 200847, 129882, 827, 623, 5359, 788, 13950, 827, 623, 94438, 13950, 827, 623, 89754, 120602, 827, 623, 162904, 17087, 22300, 827, 623, 39248, 827, 623, 8916, 22300, 827, 623, 85864, 742, 4446, 14255, 623, 96654, 1083, 623, 236770, 236761, 220283, 6171, 8603, 94534, 1024, 1494, 5387, 236761, 236743, 236778, 236761, 70535, 784, 6299, 13153, 532, 8706, 8990, 12480, 81201, 236761, 236743, 236800, 236761, 85236, 12480, 528, 3425, 94534, 573, 236743, 236800, 236772, 236812, 4310, 810, 2678, 3097, 174954, 37163, 6667, 236761, 236743, 236812, 236761, 65600, 5387, 532, 3944, 1343, 3097, 6145, 4022, 20881, 236743, 236770, 236825, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 236743, 236810, 236761, 10973, 236743, 236810, 4310, 1680, 105170, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236810, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 27930, 521, 2474, 943, 4556, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 211165, 842, 236764, 14148, 11393, 6914, 236764, 11404, 827, 623, 4881, 236779, 6163, 236779, 18582, 1083, 1847, 236764, 623, 11607, 236779, 3906, 1083, 623, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 48578, 1083, 236743, 236778, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 192210, 5561, 4027, 42949, 15028, 563, 4011, 573, 496, 1868, 236772, 68492, 13294, 236764, 532, 211165, 2474, 943, 4556, 563, 2487, 531, 4253, 822, 2460, 236888, 5715, 236789, 236751, 496, 12323, 236787, 108, 1018, 64020, 70731, 53121, 107, 236772, 25735, 4866, 568, 236770, 236810, 46205, 236768, 532, 3944, 990, 568, 236770, 236771, 46205, 236768, 107, 236772, 4819, 236772, 56874, 13415, 607, 16627, 192210, 34894, 107, 236772, 45891, 573, 11690, 2299, 12284, 108, 1018, 6375, 20303, 53121, 107, 236772, 5213, 1567, 53121, 211165, 2474, 943, 4556, 568, 54337, 11393, 6914, 236764, 11404, 236768, 107, 236772, 5213, 82502, 53121, 5827, 531, 236743, 236778, 236771, 236771, 12286, 107, 236772, 5213, 11431, 53121, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 107, 236772, 5213, 9604, 53121, 236743, 236770, 236778, 236800, 211165, 842, 236764, 14148, 11393, 6914, 236764, 11404, 108, 38786, 611, 1133, 1601, 607, 2148, 6555, 1133, 16329, 15830, 14069, 236764, 64451, 13294, 33972, 236764, 653, 22169, 11690, 14134, 5085, 600, 6727, 607, 672, 4563, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 1601, 786, 2731, 496, 18821, 146616, 236772, 68122, 7972, 13696, 684, 506, 29141, 528, 1116, 40081, 236761, 3792, 236789, 236751, 1502, 684, 19460, 53871, 573, 18014, 236764, 1299, 16807, 1070, 3732, 5618, 236764, 532, 6861, 2426, 768, 993, 659, 1027, 6387, 85382, 600, 4926, 3361, 7972, 7846, 236761, 5315, 236764, 1531, 236789, 236751, 3927, 53871, 573, 7798, 7972, 6549, 1699, 506, 30136, 623, 65897, 146616, 7972, 3056, 564, 236789, 859, 1202, 611, 531, 1161, 506, 3927, 236779, 62878, 5904, 573, 672, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 5024, 1895, 42344, 19871, 7803, 88970, 684, 18821, 146616, 236789, 236751, 193322, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10475, 236770, 236761, 4034, 827, 623, 7777, 1083, 623, 236776, 10781, 5422, 7972, 18482, 3673, 5168, 169288, 236764, 11076, 90069, 236764, 532, 496, 41054, 2479, 62803, 529, 53917, 532, 233276, 7846, 10498, 623, 2883, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 23179, 3714, 3250, 1083, 623, 65897, 146616, 56892, 19871, 9753, 676, 45914, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10475, 236778, 236761, 4034, 827, 623, 7777, 1083, 623, 80519, 641, 16539, 7116, 11005, 607, 1526, 236772, 82533, 12657, 699, 36569, 532, 62710, 532, 34584, 3092, 7006, 3571, 55725, 21622, 10498, 623, 2883, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236786, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 23179, 3714, 3250, 1083, 623, 33139, 236772, 180844, 606, 41350, 40424, 573, 146616, 236772, 818, 1992, 36667, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10475, 236800, 236761, 4034, 827, 623, 7777, 1083, 623, 10423, 81978, 236764, 37423, 132463, 2061, 236764, 532, 9380, 38913, 19587, 528, 496, 37009, 7972, 3117, 618, 4970, 528, 14541, 212194, 10498, 623, 2883, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236786, 236812, 236810, 236825, 236832, 236828, 236819, 236770, 236778, 236800, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 2305, 236779, 3278, 1083, 623, 65897, 146616, 7972, 25938, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 2827, 580, 531, 506, 2148, 6555, 236761, 18186, 580, 506, 53871, 18014, 236764, 692, 740, 16807, 506, 3732, 5618, 6950, 528, 506, 4168, 9987, 1003, 2846, 236772, 33562, 7983, 236761, 564, 236789, 859, 2426, 22414, 573, 623, 24431, 236759, 21867, 2098, 623, 635, 81978, 2098, 532, 623, 56986, 38913, 236775, 1699, 506, 2426, 236779, 3017, 236779, 30124, 5904, 236761, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 635, 81978, 827, 623, 30124, 1083, 623, 236776, 49339, 3732, 3224, 573, 1061, 2455, 236764, 86322, 66408, 236764, 3187, 5143, 607, 21361, 532, 15082, 7972, 11803, 236761, 669, 1941, 90851, 699, 16470, 82663, 236764, 7489, 1308, 4524, 236744, 498, 236764, 21355, 531, 506, 33408, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 24431, 236759, 21867, 827, 623, 30124, 1083, 623, 236776, 13030, 38679, 529, 1407, 236762, 70707, 7983, 236764, 11082, 16045, 840, 6494, 2173, 653, 9514, 236764, 45048, 684, 506, 188275, 3732, 14232, 511, 204011, 236746, 236761, 669, 7983, 735, 225217, 184152, 532, 659, 496, 6672, 37009, 7972, 3732, 236761, 669, 3732, 563, 992, 506, 3738, 529, 506, 29788, 87806, 754, 15958, 54273, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 56986, 38913, 827, 623, 30124, 1083, 623, 236746, 49339, 3732, 568, 236798, 651, 47968, 44651, 2722, 236768, 529, 506, 213329, 2523, 236764, 3224, 573, 1061, 86322, 236764, 12815, 68852, 532, 60264, 15003, 236793, 3187, 48958, 528, 37009, 26318, 532, 41063, 5143, 607, 41330, 532, 120164, 236772, 1741, 163517, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 236745, 568, 15344, 2467, 236761, 22668, 5853, 236768, 14255, 623, 29995, 1083, 3714, 236757, 1083, 623, 113609, 4009, 1722, 7689, 756, 21000, 236789, 573, 18821, 146616, 7972, 3927, 827, 623, 13205, 236779, 1201, 1083, 623, 46456, 756, 2305, 236779, 62878, 236789, 5904, 573, 53871, 7972, 6549, 3927, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 993, 236789, 236751, 951, 1982, 5904, 2487, 531, 3927, 573, 13154, 684, 7972, 7846, 236761, 3153, 236764, 2721, 580, 506, 18821, 146616, 7824, 532, 11858, 10634, 236764, 611, 2473, 1966, 16329, 85382, 1133, 236787, 107, 236770, 236761, 5213, 203460, 833, 233276, 568, 236778, 236771, 236771, 236810, 62902, 753, 25772, 22799, 5422, 34098, 26318, 107, 236778, 236761, 5213, 111258, 568, 236778, 236771, 236778, 236771, 62902, 753, 8754, 16353, 120164, 236772, 1741, 7972, 7789, 532, 67949, 107, 236800, 236761, 5213, 66498, 532, 34584, 3092, 568, 236770, 236819, 236819, 236810, 62902, 753, 49308, 37009, 7972, 18583, 10944, 529, 146616, 236789, 236751, 29141, 108, 38786, 611, 1133, 786, 531, 3600, 3530, 6485, 573, 822, 7972, 2721, 580, 1239, 11858, 16441, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 611, 531, 1601, 786, 2731, 496, 18821, 146616, 236772, 68122, 7972, 13696, 684, 506, 29141, 528, 1116, 40081, 236761, 3792, 236789, 236751, 1502, 684, 19460, 53871, 573, 18014, 236764, 1299, 16807, 1070, 3732, 5618, 236764, 532, 6861, 2426, 768, 993, 659, 1027, 6387, 85382, 600, 4926, 3361, 7972, 7846, 236761, 5315, 236764, 1531, 236789, 236751, 3927, 53871, 573, 7798, 7972, 6549, 1699, 506, 30136, 623, 65897, 146616, 7972, 3056, 564, 236789, 859, 1202, 611, 531, 1161, 506, 3927, 236779, 62878, 5904, 573, 672, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 5024, 1895, 42344, 19871, 7803, 88970, 684, 18821, 146616, 236789, 236751, 193322, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10475, 236770, 236761, 4034, 827, 623, 7777, 1083, 623, 236776, 10781, 5422, 7972, 18482, 3673, 5168, 169288, 236764, 11076, 90069, 236764, 532, 496, 41054, 2479, 62803, 529, 53917, 532, 233276, 7846, 10498, 623, 2883, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 23179, 3714, 3250, 1083, 623, 65897, 146616, 56892, 19871, 9753, 676, 45914, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10475, 236778, 236761, 4034, 827, 623, 7777, 1083, 623, 80519, 641, 16539, 7116, 11005, 607, 1526, 236772, 82533, 12657, 699, 36569, 532, 62710, 532, 34584, 3092, 7006, 3571, 55725, 21622, 10498, 623, 2883, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236786, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 23179, 3714, 3250, 1083, 623, 33139, 236772, 180844, 606, 41350, 40424, 573, 146616, 236772, 818, 1992, 36667, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10475, 236800, 236761, 4034, 827, 623, 7777, 1083, 623, 10423, 81978, 236764, 37423, 132463, 2061, 236764, 532, 9380, 38913, 19587, 528, 496, 37009, 7972, 3117, 618, 4970, 528, 14541, 212194, 10498, 623, 2883, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236786, 236812, 236810, 236825, 236832, 236828, 236819, 236770, 236778, 236800, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 2305, 236779, 3278, 1083, 623, 65897, 146616, 7972, 25938, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 2827, 580, 531, 506, 2148, 6555, 236761, 18186, 580, 506, 53871, 18014, 236764, 692, 740, 16807, 506, 3732, 5618, 6950, 528, 506, 4168, 9987, 1003, 2846, 236772, 33562, 7983, 236761, 564, 236789, 859, 2426, 22414, 573, 623, 24431, 236759, 21867, 2098, 623, 635, 81978, 2098, 532, 623, 56986, 38913, 236775, 1699, 506, 2426, 236779, 3017, 236779, 30124, 5904, 236761, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 635, 81978, 827, 623, 30124, 1083, 623, 236776, 49339, 3732, 3224, 573, 1061, 2455, 236764, 86322, 66408, 236764, 3187, 5143, 607, 21361, 532, 15082, 7972, 11803, 236761, 669, 1941, 90851, 699, 16470, 82663, 236764, 7489, 1308, 4524, 236744, 498, 236764, 21355, 531, 506, 33408, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 24431, 236759, 21867, 827, 623, 30124, 1083, 623, 236776, 13030, 38679, 529, 1407, 236762, 70707, 7983, 236764, 11082, 16045, 840, 6494, 2173, 653, 9514, 236764, 45048, 684, 506, 188275, 3732, 14232, 511, 204011, 236746, 236761, 669, 7983, 735, 225217, 184152, 532, 659, 496, 6672, 37009, 7972, 3732, 236761, 669, 3732, 563, 992, 506, 3738, 529, 506, 29788, 87806, 754, 15958, 54273, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 56986, 38913, 827, 623, 30124, 1083, 623, 236746, 49339, 3732, 568, 236798, 651, 47968, 44651, 2722, 236768, 529, 506, 213329, 2523, 236764, 3224, 573, 1061, 86322, 236764, 12815, 68852, 532, 60264, 15003, 236793, 3187, 48958, 528, 37009, 26318, 532, 41063, 5143, 607, 41330, 532, 120164, 236772, 1741, 163517, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 236745, 568, 15344, 2467, 236761, 22668, 5853, 236768, 14255, 623, 29995, 1083, 3714, 236757, 1083, 623, 113609, 4009, 1722, 7689, 756, 21000, 236789, 573, 18821, 146616, 7972, 3927, 827, 623, 13205, 236779, 1201, 1083, 623, 46456, 756, 2305, 236779, 62878, 236789, 5904, 573, 53871, 7972, 6549, 3927, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 993, 236789, 236751, 951, 1982, 5904, 2487, 531, 3927, 573, 13154, 684, 7972, 7846, 236761, 3153, 236764, 2721, 580, 506, 18821, 146616, 7824, 532, 11858, 10634, 236764, 611, 2473, 1966, 16329, 85382, 1133, 236787, 107, 236770, 236761, 5213, 203460, 833, 233276, 568, 236778, 236771, 236771, 236810, 62902, 753, 25772, 22799, 5422, 34098, 26318, 107, 236778, 236761, 5213, 111258, 568, 236778, 236771, 236778, 236771, 62902, 753, 8754, 16353, 120164, 236772, 1741, 7972, 7789, 532, 67949, 107, 236800, 236761, 5213, 66498, 532, 34584, 3092, 568, 236770, 236819, 236819, 236810, 62902, 753, 49308, 37009, 7972, 18583, 10944, 529, 146616, 236789, 236751, 29141, 108, 38786, 611, 1133, 786, 531, 3600, 3530, 6485, 573, 822, 7972, 2721, 580, 1239, 11858, 16441, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 51599, 7606, 14415, 573, 29936, 236764, 13476, 65911, 236743, 236770, 236770, 236778, 236771, 236770, 573, 506, 2148, 236743, 236778, 236812, 3885, 236761, 564, 236789, 236757, 6995, 9735, 12406, 33249, 3008, 506, 17936, 4556, 532, 1461, 531, 5571, 3978, 12956, 528, 6927, 236761, 3792, 786, 1281, 768, 993, 236789, 236751, 496, 236743, 236778, 236772, 13807, 4771, 607, 951, 31632, 532, 29146, 1208, 236743, 236770, 236771, 44269, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236770, 236778, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236771, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236819, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236832, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236812, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236778, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236819, 104960, 623, 6011, 1083, 3714, 58591, 236779, 7414, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27388, 1083, 623, 3771, 31632, 532, 29146, 1208, 236743, 236770, 236771, 44269, 23179, 623, 27495, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236825, 236828, 236764, 623, 2074, 1083, 236743, 236832, 236812, 19465, 106, 107, 105, 4368, 107, 818, 51599, 14415, 573, 29936, 236764, 13476, 568, 236770, 236770, 236778, 236771, 236770, 236768, 3831, 614, 12567, 236743, 236778, 236772, 13807, 4771, 573, 822, 12406, 11881, 236787, 138, 107, 1018, 236770, 236771, 236787, 236771, 236771, 8151, 531, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 1018, 138, 107, 236772, 2301, 31632, 568, 236771, 236908, 6584, 657, 236743, 236770, 236771, 236772, 236770, 236770, 8151, 236764, 236743, 236778, 236908, 657, 37170, 236768, 138, 107, 236772, 142881, 1208, 236743, 236770, 236771, 44269, 568, 236828, 236772, 236819, 44269, 236768, 138, 107, 236772, 145558, 15213, 699, 236743, 236832, 236778, 237366, 236811, 531, 236743, 236832, 236812, 237366, 236811, 138, 108, 2094, 4771, 20239, 822, 13138, 1791, 236761, 142881, 7266, 3426, 236743, 236770, 236771, 44269, 1308, 236743, 236819, 8151, 236764, 532, 31632, 4652, 7474, 11893, 3097, 37170, 236761, 14066, 6250, 822, 11881, 657, 236743, 236770, 236771, 8151, 573, 7436, 3439, 236761, 106, 107, 105, 2364, 107, 6845, 768, 993, 659, 1027, 5158, 7606, 51679, 573, 1799, 3773, 1883, 236761, 564, 1461, 531, 1386, 2889, 993, 236789, 236751, 951, 12778, 7606, 29220, 29936, 672, 9735, 1680, 201585, 1041, 12406, 11881, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 122376, 1083, 78493, 16023, 236779, 547, 1083, 623, 169538, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 217607, 40520, 28993, 62436, 827, 623, 127243, 1083, 623, 13238, 827, 623, 4375, 1083, 623, 236776, 12778, 90419, 563, 29220, 29936, 236761, 48434, 7274, 6927, 236764, 3188, 29146, 872, 531, 236743, 236825, 236771, 44269, 236764, 532, 2653, 89352, 236761, 39874, 11690, 5085, 3097, 506, 12978, 16349, 10498, 623, 91664, 236779, 37311, 1083, 11058, 117786, 236764, 13476, 827, 623, 90181, 236764, 13476, 14255, 623, 25931, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 16023, 236779, 547, 1083, 623, 169538, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236771, 236778, 827, 623, 2084, 1083, 623, 74742, 31379, 827, 623, 127243, 1083, 623, 166920, 827, 623, 4375, 1083, 623, 66057, 36168, 4275, 528, 2708, 236772, 4271, 4106, 529, 29936, 2779, 531, 35269, 37494, 236761, 6890, 28012, 1056, 71124, 3541, 60447, 15729, 10498, 623, 91664, 236779, 37311, 1083, 11058, 117786, 236764, 13476, 14255, 623, 25931, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 3810, 659, 5633, 5213, 5034, 7606, 51679, 1018, 573, 1799, 3773, 1883, 600, 1451, 4100, 822, 9735, 12406, 11881, 528, 29936, 236787, 138, 108, 236770, 236761, 5213, 217607, 40520, 28993, 62436, 568, 13238, 146151, 62902, 138, 107, 139, 236772, 5213, 75393, 3097, 53121, 236743, 236825, 236787, 236771, 236771, 8711, 102775, 3124, 568, 27403, 236743, 236778, 236771, 236768, 138, 107, 139, 236772, 5213, 70092, 53121, 39591, 6927, 236764, 29146, 872, 531, 236743, 236825, 236771, 44269, 236764, 532, 2653, 89352, 236761, 39874, 11690, 5085, 3097, 506, 12978, 16349, 236761, 138, 108, 236778, 236761, 5213, 74742, 31379, 568, 166920, 146151, 62902, 138, 107, 139, 236772, 5213, 75393, 3097, 53121, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 102775, 8224, 568, 27403, 236743, 236778, 236770, 236768, 138, 107, 139, 236772, 5213, 70092, 53121, 26762, 36168, 4275, 528, 2708, 236772, 4271, 4106, 529, 29936, 2779, 531, 35269, 37494, 236761, 138, 108, 10354, 9533, 103057, 573, 5180, 48139, 236787, 138, 107, 236772, 5213, 45262, 12399, 236786, 125067, 53121, 669, 90419, 13660, 55785, 20564, 236764, 840, 7274, 6927, 532, 3188, 29146, 1149, 74792, 3097, 236743, 236825, 8711, 236761, 39874, 71124, 1913, 672, 990, 236761, 138, 107, 236772, 5213, 46325, 5597, 53121, 12069, 5829, 1451, 39220, 528, 1070, 4106, 3097, 38735, 20564, 236761, 7179, 2263, 4284, 3439, 1680, 18683, 236761, 138, 107, 236772, 5213, 46325, 12399, 236786, 125067, 95191, 53121, 32288, 1149, 4006, 236764, 840, 7020, 12496, 573, 85976, 6927, 653, 6573, 236761, 138, 108, 2542, 5646, 236764, 1966, 221418, 822, 11881, 531, 5213, 46325, 12399, 1018, 653, 5213, 48049, 1018, 768, 2653, 236764, 532, 5571, 2708, 236772, 4271, 4106, 38871, 531, 36168, 236761, 31246, 2426, 1759, 236772, 2289, 7606, 12496, 1680, 16398, 855, 236761, 106, 107, 105, 2364, 107, 6845, 506, 51599, 14415, 573, 29936, 65911, 236743, 236770, 236770, 236778, 236771, 236770, 1570, 236764, 840, 3213, 580, 8224, 12399, 236786, 125067, 568, 236770, 236778, 8711, 95191, 236768, 532, 8174, 236761, 564, 1461, 531, 10769, 3439, 1913, 1724, 2782, 531, 1460, 768, 221418, 1041, 11881, 531, 8224, 1308, 236743, 236770, 236778, 8711, 653, 8174, 1093, 577, 2480, 236761, 39799, 236764, 1385, 573, 31632, 18190, 3426, 236743, 236770, 236771, 10014, 29146, 1208, 236743, 236770, 236778, 44269, 236764, 532, 951, 5158, 18226, 14400, 2794, 236786, 157255, 51679, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 122376, 1083, 2977, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 122376, 1083, 2977, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236771, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236812, 236764, 623, 122376, 1083, 11058, 42554, 31379, 152254, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236764, 623, 122376, 1083, 2977, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236770, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236832, 236764, 623, 122376, 1083, 2977, 104960, 623, 6011, 1083, 3714, 9783, 236779, 3841, 1083, 3714, 236751, 7605, 236779, 9900, 11663, 1083, 11058, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 236800, 236787, 236771, 236771, 8711, 14255, 623, 229544, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 236778, 236787, 236771, 236771, 8711, 152254, 623, 54670, 236779, 3841, 1083, 11058, 236832, 236787, 236771, 236771, 8711, 8224, 568, 42554, 31379, 236768, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 122376, 1083, 78493, 2084, 1083, 623, 74742, 31379, 827, 623, 7777, 1083, 623, 66057, 532, 1944, 6381, 36168, 4275, 528, 29936, 532, 28216, 236761, 39591, 6927, 1149, 4400, 4301, 86557, 10498, 623, 127243, 1083, 623, 166920, 827, 623, 91664, 236779, 37311, 1083, 11058, 117786, 827, 623, 90181, 14255, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2084, 1083, 623, 217607, 40520, 28993, 16501, 827, 623, 7777, 1083, 623, 51757, 48312, 2653, 8174, 12399, 607, 19108, 236762, 29146, 872, 531, 236743, 236812, 236810, 44269, 532, 89352, 10498, 623, 127243, 1083, 623, 217607, 827, 623, 91664, 236779, 37311, 1083, 11058, 169538, 32758, 14133, 14255, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 573, 8224, 12399, 236786, 125067, 532, 8174, 528, 29936, 568, 236770, 236770, 236778, 236771, 236770, 1473, 138, 108, 10354, 5213, 46325, 568, 27403, 236743, 236778, 236770, 1473, 1018, 138, 107, 236772, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236828, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236770, 236771, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 568, 74742, 31379, 55785, 657, 38735, 20564, 236768, 138, 107, 236772, 5213, 236800, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236810, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236828, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 138, 107, 236772, 5213, 236832, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236770, 236810, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236770, 236812, 44269, 167043, 42554, 31379, 5158, 119542, 138, 108, 1018, 203949, 53121, 8224, 12399, 568, 236770, 236778, 8711, 236964, 236800, 8711, 236768, 20239, 822, 13138, 568, 14630, 760, 655, 236770, 236771, 10014, 29146, 655, 236770, 236778, 44269, 769, 3153, 236764, 5213, 8819, 36168, 1149, 2036, 577, 614, 4186, 1018, 3097, 38735, 2779, 531, 85976, 18226, 14400, 2794, 236761, 39874, 18683, 3541, 2708, 236772, 4271, 4106, 236761, 138, 108, 7243, 108, 10354, 5213, 48049, 568, 27403, 236743, 236778, 236778, 1473, 1018, 138, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236778, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236810, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 138, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236770, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236832, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 138, 107, 236772, 5213, 236812, 236787, 236771, 236771, 8711, 95191, 53121, 138, 107, 138, 236772, 5213, 217607, 40520, 28993, 16501, 1018, 528, 1763, 573, 46585, 568, 42821, 236762, 29146, 872, 531, 236743, 236812, 236810, 44269, 236764, 89352, 2653, 769, 138, 108, 1018, 203949, 53121, 8174, 5597, 568, 236770, 236771, 8151, 236964, 236778, 8711, 236768, 5469, 5213, 63914, 3439, 1018, 607, 11893, 6927, 236764, 2214, 29146, 236764, 532, 951, 51679, 236761, 39874, 18683, 1308, 236743, 236778, 8711, 2779, 531, 30568, 48312, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 53121, 138, 107, 1018, 48049, 236743, 236770, 236771, 8151, 236964, 236778, 8711, 1018, 563, 506, 76302, 532, 1346, 12567, 990, 573, 822, 12406, 11881, 236761, 1637, 8224, 563, 822, 1186, 5086, 236764, 6568, 531, 236743, 236770, 236778, 8711, 236964, 236800, 8711, 840, 5213, 54670, 18226, 236772, 127769, 4106, 84750, 31246, 2426, 1759, 236772, 2289, 12496, 1680, 16398, 855, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 51599, 7606, 14415, 573, 29936, 236764, 13476, 65911, 236743, 236770, 236770, 236778, 236771, 236770, 573, 506, 2148, 236743, 236778, 236812, 3885, 236761, 564, 236789, 236757, 6995, 9735, 12406, 33249, 3008, 506, 17936, 4556, 532, 1461, 531, 5571, 3978, 12956, 528, 6927, 236761, 3792, 786, 1281, 768, 993, 236789, 236751, 496, 236743, 236778, 236772, 13807, 4771, 607, 951, 31632, 532, 29146, 1208, 236743, 236770, 236771, 44269, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236770, 236778, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236771, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236819, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236832, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236812, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236778, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236819, 104960, 623, 6011, 1083, 3714, 58591, 236779, 7414, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27388, 1083, 623, 3771, 31632, 532, 29146, 1208, 236743, 236770, 236771, 44269, 23179, 623, 27495, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236825, 236828, 236764, 623, 2074, 1083, 236743, 236832, 236812, 19465, 106, 107, 105, 4368, 107, 818, 51599, 14415, 573, 29936, 236764, 13476, 568, 236770, 236770, 236778, 236771, 236770, 236768, 3831, 614, 12567, 236743, 236778, 236772, 13807, 4771, 573, 822, 12406, 11881, 236787, 138, 107, 1018, 236770, 236771, 236787, 236771, 236771, 8151, 531, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 1018, 138, 107, 236772, 2301, 31632, 568, 236771, 236908, 6584, 657, 236743, 236770, 236771, 236772, 236770, 236770, 8151, 236764, 236743, 236778, 236908, 657, 37170, 236768, 138, 107, 236772, 142881, 1208, 236743, 236770, 236771, 44269, 568, 236828, 236772, 236819, 44269, 236768, 138, 107, 236772, 145558, 15213, 699, 236743, 236832, 236778, 237366, 236811, 531, 236743, 236832, 236812, 237366, 236811, 138, 108, 2094, 4771, 20239, 822, 13138, 1791, 236761, 142881, 7266, 3426, 236743, 236770, 236771, 44269, 1308, 236743, 236819, 8151, 236764, 532, 31632, 4652, 7474, 11893, 3097, 37170, 236761, 14066, 6250, 822, 11881, 657, 236743, 236770, 236771, 8151, 573, 7436, 3439, 236761, 106, 107, 105, 2364, 107, 6845, 768, 993, 659, 1027, 5158, 7606, 51679, 573, 1799, 3773, 1883, 236761, 564, 1461, 531, 1386, 2889, 993, 236789, 236751, 951, 12778, 7606, 29220, 29936, 672, 9735, 1680, 201585, 1041, 12406, 11881, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 122376, 1083, 78493, 16023, 236779, 547, 1083, 623, 169538, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 217607, 40520, 28993, 62436, 827, 623, 127243, 1083, 623, 13238, 827, 623, 4375, 1083, 623, 236776, 12778, 90419, 563, 29220, 29936, 236761, 48434, 7274, 6927, 236764, 3188, 29146, 872, 531, 236743, 236825, 236771, 44269, 236764, 532, 2653, 89352, 236761, 39874, 11690, 5085, 3097, 506, 12978, 16349, 10498, 623, 91664, 236779, 37311, 1083, 11058, 117786, 236764, 13476, 827, 623, 90181, 236764, 13476, 14255, 623, 25931, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 16023, 236779, 547, 1083, 623, 169538, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236771, 236778, 827, 623, 2084, 1083, 623, 74742, 31379, 827, 623, 127243, 1083, 623, 166920, 827, 623, 4375, 1083, 623, 66057, 36168, 4275, 528, 2708, 236772, 4271, 4106, 529, 29936, 2779, 531, 35269, 37494, 236761, 6890, 28012, 1056, 71124, 3541, 60447, 15729, 10498, 623, 91664, 236779, 37311, 1083, 11058, 117786, 236764, 13476, 14255, 623, 25931, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 3810, 659, 5633, 5213, 5034, 7606, 51679, 1018, 573, 1799, 3773, 1883, 600, 1451, 4100, 822, 9735, 12406, 11881, 528, 29936, 236787, 138, 108, 236770, 236761, 5213, 217607, 40520, 28993, 62436, 568, 13238, 146151, 62902, 138, 107, 139, 236772, 5213, 75393, 3097, 53121, 236743, 236825, 236787, 236771, 236771, 8711, 102775, 3124, 568, 27403, 236743, 236778, 236771, 236768, 138, 107, 139, 236772, 5213, 70092, 53121, 39591, 6927, 236764, 29146, 872, 531, 236743, 236825, 236771, 44269, 236764, 532, 2653, 89352, 236761, 39874, 11690, 5085, 3097, 506, 12978, 16349, 236761, 138, 108, 236778, 236761, 5213, 74742, 31379, 568, 166920, 146151, 62902, 138, 107, 139, 236772, 5213, 75393, 3097, 53121, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 102775, 8224, 568, 27403, 236743, 236778, 236770, 236768, 138, 107, 139, 236772, 5213, 70092, 53121, 26762, 36168, 4275, 528, 2708, 236772, 4271, 4106, 529, 29936, 2779, 531, 35269, 37494, 236761, 138, 108, 10354, 9533, 103057, 573, 5180, 48139, 236787, 138, 107, 236772, 5213, 45262, 12399, 236786, 125067, 53121, 669, 90419, 13660, 55785, 20564, 236764, 840, 7274, 6927, 532, 3188, 29146, 1149, 74792, 3097, 236743, 236825, 8711, 236761, 39874, 71124, 1913, 672, 990, 236761, 138, 107, 236772, 5213, 46325, 5597, 53121, 12069, 5829, 1451, 39220, 528, 1070, 4106, 3097, 38735, 20564, 236761, 7179, 2263, 4284, 3439, 1680, 18683, 236761, 138, 107, 236772, 5213, 46325, 12399, 236786, 125067, 95191, 53121, 32288, 1149, 4006, 236764, 840, 7020, 12496, 573, 85976, 6927, 653, 6573, 236761, 138, 108, 2542, 5646, 236764, 1966, 221418, 822, 11881, 531, 5213, 46325, 12399, 1018, 653, 5213, 48049, 1018, 768, 2653, 236764, 532, 5571, 2708, 236772, 4271, 4106, 38871, 531, 36168, 236761, 31246, 2426, 1759, 236772, 2289, 7606, 12496, 1680, 16398, 855, 236761, 106, 107, 105, 2364, 107, 6845, 506, 51599, 14415, 573, 29936, 65911, 236743, 236770, 236770, 236778, 236771, 236770, 1570, 236764, 840, 3213, 580, 8224, 12399, 236786, 125067, 568, 236770, 236778, 8711, 95191, 236768, 532, 8174, 236761, 564, 1461, 531, 10769, 3439, 1913, 1724, 2782, 531, 1460, 768, 221418, 1041, 11881, 531, 8224, 1308, 236743, 236770, 236778, 8711, 653, 8174, 1093, 577, 2480, 236761, 39799, 236764, 1385, 573, 31632, 18190, 3426, 236743, 236770, 236771, 10014, 29146, 1208, 236743, 236770, 236778, 44269, 236764, 532, 951, 5158, 18226, 14400, 2794, 236786, 157255, 51679, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 122376, 1083, 2977, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 122376, 1083, 2977, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236771, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236812, 236764, 623, 122376, 1083, 11058, 42554, 31379, 152254, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 236764, 623, 122376, 1083, 2977, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236770, 236764, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236832, 236764, 623, 122376, 1083, 2977, 104960, 623, 6011, 1083, 3714, 9783, 236779, 3841, 1083, 3714, 236751, 7605, 236779, 9900, 11663, 1083, 11058, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 236800, 236787, 236771, 236771, 8711, 14255, 623, 229544, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 236778, 236787, 236771, 236771, 8711, 152254, 623, 54670, 236779, 3841, 1083, 11058, 236832, 236787, 236771, 236771, 8711, 8224, 568, 42554, 31379, 236768, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 122376, 1083, 78493, 2084, 1083, 623, 74742, 31379, 827, 623, 7777, 1083, 623, 66057, 532, 1944, 6381, 36168, 4275, 528, 29936, 532, 28216, 236761, 39591, 6927, 1149, 4400, 4301, 86557, 10498, 623, 127243, 1083, 623, 166920, 827, 623, 91664, 236779, 37311, 1083, 11058, 117786, 827, 623, 90181, 14255, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2084, 1083, 623, 217607, 40520, 28993, 16501, 827, 623, 7777, 1083, 623, 51757, 48312, 2653, 8174, 12399, 607, 19108, 236762, 29146, 872, 531, 236743, 236812, 236810, 44269, 532, 89352, 10498, 623, 127243, 1083, 623, 217607, 827, 623, 91664, 236779, 37311, 1083, 11058, 169538, 32758, 14133, 14255, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9960, 573, 8224, 12399, 236786, 125067, 532, 8174, 528, 29936, 568, 236770, 236770, 236778, 236771, 236770, 1473, 138, 108, 10354, 5213, 46325, 568, 27403, 236743, 236778, 236770, 1473, 1018, 138, 107, 236772, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236828, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236770, 236771, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 568, 74742, 31379, 55785, 657, 38735, 20564, 236768, 138, 107, 236772, 5213, 236800, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236810, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236828, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 138, 107, 236772, 5213, 236832, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236770, 236810, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236770, 236812, 44269, 167043, 42554, 31379, 5158, 119542, 138, 108, 1018, 203949, 53121, 8224, 12399, 568, 236770, 236778, 8711, 236964, 236800, 8711, 236768, 20239, 822, 13138, 568, 14630, 760, 655, 236770, 236771, 10014, 29146, 655, 236770, 236778, 44269, 769, 3153, 236764, 5213, 8819, 36168, 1149, 2036, 577, 614, 4186, 1018, 3097, 38735, 2779, 531, 85976, 18226, 14400, 2794, 236761, 39874, 18683, 3541, 2708, 236772, 4271, 4106, 236761, 138, 108, 7243, 108, 10354, 5213, 48049, 568, 27403, 236743, 236778, 236778, 1473, 1018, 138, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236778, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236810, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 138, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 53121, 138, 107, 138, 236772, 212775, 236787, 236743, 236770, 236908, 6584, 138, 107, 138, 236772, 142881, 236787, 236743, 236832, 44269, 138, 107, 138, 236772, 165731, 236787, 5213, 3771, 5158, 51679, 1018, 138, 107, 236772, 5213, 236812, 236787, 236771, 236771, 8711, 95191, 53121, 138, 107, 138, 236772, 5213, 217607, 40520, 28993, 16501, 1018, 528, 1763, 573, 46585, 568, 42821, 236762, 29146, 872, 531, 236743, 236812, 236810, 44269, 236764, 89352, 2653, 769, 138, 108, 1018, 203949, 53121, 8174, 5597, 568, 236770, 236771, 8151, 236964, 236778, 8711, 236768, 5469, 5213, 63914, 3439, 1018, 607, 11893, 6927, 236764, 2214, 29146, 236764, 532, 951, 51679, 236761, 39874, 18683, 1308, 236743, 236778, 8711, 2779, 531, 30568, 48312, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 53121, 138, 107, 1018, 48049, 236743, 236770, 236771, 8151, 236964, 236778, 8711, 1018, 563, 506, 76302, 532, 1346, 12567, 990, 573, 822, 12406, 11881, 236761, 1637, 8224, 563, 822, 1186, 5086, 236764, 6568, 531, 236743, 236770, 236778, 8711, 236964, 236800, 8711, 840, 5213, 54670, 18226, 236772, 127769, 4106, 84750, 31246, 2426, 1759, 236772, 2289, 12496, 1680, 16398, 855, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 2958, 12498, 5699, 4596, 531, 5431, 3997, 531, 1601, 607, 1041, 6334, 7675, 236761, 3199, 611, 12270, 786, 496, 1694, 529, 1288, 5699, 1699, 506, 974, 26984, 2003, 29449, 5904, 236881, 3792, 236789, 236751, 1502, 607, 506, 1171, 3104, 532, 1460, 1144, 236789, 236751, 855, 993, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 26984, 1083, 78493, 3250, 1083, 623, 12553, 236772, 106731, 22039, 20103, 45325, 827, 623, 7777, 1083, 623, 20337, 5411, 5194, 10040, 532, 37247, 21615, 531, 4087, 5842, 236764, 5417, 236764, 532, 15298, 5646, 528, 1759, 236772, 2289, 580, 5431, 7088, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236770, 23179, 3714, 3250, 1083, 623, 67122, 705, 40675, 573, 39591, 74823, 827, 623, 7777, 1083, 623, 29472, 4735, 4681, 4773, 5842, 31164, 528, 5431, 11182, 531, 6439, 77284, 532, 9626, 5384, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236778, 23179, 3714, 3250, 1083, 623, 12553, 236772, 154902, 22858, 93784, 133789, 827, 623, 7777, 1083, 623, 50327, 39252, 1458, 600, 6178, 12498, 531, 30726, 6138, 532, 2561, 5296, 3418, 5065, 5431, 5699, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236800, 25938, 1604, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4375, 1083, 623, 123216, 236743, 236800, 529, 236743, 236770, 236810, 2558, 5699, 236761, 6890, 3104, 236784, 236778, 531, 1927, 919, 2536, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 12498, 5699, 4596, 531, 5431, 3997, 699, 506, 1171, 3104, 529, 2536, 236787, 108, 236770, 236761, 5213, 12553, 236772, 106731, 22039, 20103, 45325, 1018, 138, 107, 139, 236829, 9770, 63508, 65284, 5194, 10040, 532, 37247, 21615, 573, 1759, 236772, 2289, 16074, 529, 5842, 236764, 5417, 236764, 532, 15298, 5646, 236761, 138, 107, 139, 236840, 30354, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236770, 236768, 108, 236778, 236761, 5213, 67122, 705, 40675, 573, 39591, 74823, 1018, 138, 107, 139, 236829, 9770, 63508, 15313, 4735, 4681, 4773, 5842, 31164, 531, 6439, 77284, 532, 9626, 5384, 236761, 138, 107, 139, 236840, 30354, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236778, 236768, 108, 236800, 236761, 5213, 12553, 236772, 154902, 22858, 93784, 133789, 1018, 138, 107, 139, 236829, 9770, 63508, 39332, 39252, 1458, 600, 184202, 6138, 532, 2561, 5296, 3418, 5699, 236761, 138, 107, 139, 236840, 30354, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236800, 236768, 108, 3810, 659, 5213, 236810, 2558, 7704, 1018, 529, 2536, 568, 236770, 236810, 5699, 769, 1637, 611, 236789, 236753, 1133, 531, 11327, 919, 236764, 564, 740, 2426, 3104, 236743, 236778, 653, 59638, 506, 10562, 3342, 236888, 3792, 786, 1281, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 3104, 236743, 236778, 529, 506, 5431, 3997, 5699, 2148, 236761, 6542, 236764, 1451, 611, 5957, 1027, 5699, 4596, 531, 13726, 10154, 653, 3826, 10952, 236881, 564, 14275, 506, 1171, 3104, 1053, 45819, 9626, 532, 6511, 18088, 236764, 837, 100146, 607, 1041, 2142, 528, 24488, 236761, 15704, 993, 236789, 236751, 919, 528, 236772, 15104, 8283, 580, 1724, 14050, 580, 3104, 236743, 236778, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 26984, 1083, 78493, 3250, 1083, 623, 17224, 15547, 12498, 827, 623, 7777, 1083, 623, 12553, 236772, 36359, 2778, 18088, 1458, 573, 5431, 7088, 1699, 37247, 21615, 532, 5464, 4735, 827, 623, 19413, 7378, 1083, 11058, 49321, 24569, 827, 623, 89024, 827, 623, 67122, 705, 35438, 14255, 623, 4818, 1083, 623, 14009, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 3250, 1083, 623, 147716, 64477, 35438, 827, 623, 7777, 1083, 623, 71275, 38649, 16074, 5058, 37803, 93788, 532, 12498, 573, 13726, 2561, 6799, 827, 623, 19413, 7378, 1083, 11058, 32651, 827, 623, 236799, 2783, 827, 623, 71275, 49878, 14255, 623, 4818, 1083, 623, 902, 8236, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 3250, 1083, 623, 35153, 6642, 178565, 22083, 827, 623, 7777, 1083, 623, 41999, 10040, 1458, 573, 21558, 60718, 5417, 528, 74280, 5699, 827, 623, 19413, 7378, 1083, 11058, 7084, 20741, 827, 623, 39300, 19180, 827, 623, 149926, 8813, 14255, 623, 4818, 1083, 623, 83467, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 29449, 1083, 623, 21692, 3997, 13726, 10154, 827, 623, 500, 113458, 236779, 34436, 1083, 236743, 236771, 236761, 236828, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 13726, 5431, 3997, 5699, 699, 3104, 236743, 236778, 236787, 108, 236770, 236761, 5213, 17224, 15547, 12498, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 12498, 236772, 36359, 2778, 18088, 1458, 1699, 37247, 21615, 532, 5464, 4735, 573, 5431, 7088, 138, 107, 139, 236772, 808, 205036, 63508, 147420, 236764, 37247, 236764, 214936, 35438, 138, 107, 139, 236772, 808, 6717, 63508, 23531, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 236743, 236819, 236778, 236908, 138, 108, 236778, 236761, 5213, 147716, 64477, 35438, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 29515, 38649, 52299, 37803, 93788, 532, 12498, 573, 13726, 2561, 6799, 138, 107, 139, 236772, 808, 205036, 63508, 17856, 236764, 93788, 236764, 29515, 49878, 138, 107, 139, 236772, 808, 6717, 63508, 799, 8236, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 236743, 236828, 236828, 236908, 138, 108, 236800, 236761, 5213, 35153, 6642, 178565, 22083, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 16796, 10040, 1458, 21558, 60718, 5417, 528, 74280, 5699, 138, 107, 139, 236772, 808, 205036, 63508, 179509, 236764, 22267, 19180, 236764, 43549, 8813, 138, 107, 139, 236772, 808, 6717, 63508, 173315, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 236743, 236828, 236810, 236908, 138, 108, 3810, 659, 5213, 236800, 2558, 7704, 1018, 529, 2536, 568, 236778, 236832, 5699, 236768, 607, 24488, 18774, 6055, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 3104, 236743, 236800, 573, 4767, 5699, 236881, 138, 107, 236778, 236761, 10867, 688, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3213, 580, 3530, 10952, 1133, 93788, 653, 37247, 20625, 138, 107, 236800, 236761, 46071, 4889, 1003, 1027, 3530, 2203, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 11327, 7086, 15547, 12498, 528, 919, 8052, 236888, 669, 6492, 42298, 625, 6178, 37247, 21615, 532, 5464, 4735, 573, 2778, 18088, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 3530, 8330, 23003, 653, 1624, 5254, 2487, 1003, 910, 8688, 236881, 564, 236789, 236757, 23210, 1217, 901, 25139, 24488, 19455, 1131, 1759, 236772, 2289, 5431, 81014, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 4767, 8330, 23003, 653, 1624, 5254, 6998, 1144, 236789, 236751, 3847, 528, 506, 2203, 20104, 236764, 618, 1041, 6436, 1186, 2174, 786, 531, 33205, 506, 77002, 2203, 1262, 3505, 528, 506, 3927, 2536, 236761, 3153, 236764, 611, 1451, 236787, 108, 236770, 236761, 26922, 506, 2203, 236789, 236751, 5125, 4456, 568, 584, 2487, 236768, 1343, 910, 9456, 3662, 1938, 107, 236778, 236761, 12808, 573, 623, 17224, 15547, 12498, 1624, 5254, 236775, 528, 496, 3927, 3958, 107, 236800, 236761, 11696, 573, 13434, 13009, 653, 3956, 7248, 49326, 910, 8688, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 3530, 4137, 531, 2679, 506, 2203, 2434, 768, 611, 5370, 855, 531, 1091, 236881, 2408, 1374, 564, 1385, 573, 1032, 5699, 600, 2473, 735, 919, 9813, 13049, 2487, 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 ]
[ 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, 2958, 12498, 5699, 4596, 531, 5431, 3997, 531, 1601, 607, 1041, 6334, 7675, 236761, 3199, 611, 12270, 786, 496, 1694, 529, 1288, 5699, 1699, 506, 974, 26984, 2003, 29449, 5904, 236881, 3792, 236789, 236751, 1502, 607, 506, 1171, 3104, 532, 1460, 1144, 236789, 236751, 855, 993, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 26984, 1083, 78493, 3250, 1083, 623, 12553, 236772, 106731, 22039, 20103, 45325, 827, 623, 7777, 1083, 623, 20337, 5411, 5194, 10040, 532, 37247, 21615, 531, 4087, 5842, 236764, 5417, 236764, 532, 15298, 5646, 528, 1759, 236772, 2289, 580, 5431, 7088, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236770, 23179, 3714, 3250, 1083, 623, 67122, 705, 40675, 573, 39591, 74823, 827, 623, 7777, 1083, 623, 29472, 4735, 4681, 4773, 5842, 31164, 528, 5431, 11182, 531, 6439, 77284, 532, 9626, 5384, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236778, 23179, 3714, 3250, 1083, 623, 12553, 236772, 154902, 22858, 93784, 133789, 827, 623, 7777, 1083, 623, 50327, 39252, 1458, 600, 6178, 12498, 531, 30726, 6138, 532, 2561, 5296, 3418, 5065, 5431, 5699, 10498, 623, 2883, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236800, 25938, 1604, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4375, 1083, 623, 123216, 236743, 236800, 529, 236743, 236770, 236810, 2558, 5699, 236761, 6890, 3104, 236784, 236778, 531, 1927, 919, 2536, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 12498, 5699, 4596, 531, 5431, 3997, 699, 506, 1171, 3104, 529, 2536, 236787, 108, 236770, 236761, 5213, 12553, 236772, 106731, 22039, 20103, 45325, 1018, 138, 107, 139, 236829, 9770, 63508, 65284, 5194, 10040, 532, 37247, 21615, 573, 1759, 236772, 2289, 16074, 529, 5842, 236764, 5417, 236764, 532, 15298, 5646, 236761, 138, 107, 139, 236840, 30354, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236770, 236768, 108, 236778, 236761, 5213, 67122, 705, 40675, 573, 39591, 74823, 1018, 138, 107, 139, 236829, 9770, 63508, 15313, 4735, 4681, 4773, 5842, 31164, 531, 6439, 77284, 532, 9626, 5384, 236761, 138, 107, 139, 236840, 30354, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236778, 236768, 108, 236800, 236761, 5213, 12553, 236772, 154902, 22858, 93784, 133789, 1018, 138, 107, 139, 236829, 9770, 63508, 39332, 39252, 1458, 600, 184202, 6138, 532, 2561, 5296, 3418, 5699, 236761, 138, 107, 139, 236840, 30354, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6201, 236800, 236768, 108, 3810, 659, 5213, 236810, 2558, 7704, 1018, 529, 2536, 568, 236770, 236810, 5699, 769, 1637, 611, 236789, 236753, 1133, 531, 11327, 919, 236764, 564, 740, 2426, 3104, 236743, 236778, 653, 59638, 506, 10562, 3342, 236888, 3792, 786, 1281, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 3104, 236743, 236778, 529, 506, 5431, 3997, 5699, 2148, 236761, 6542, 236764, 1451, 611, 5957, 1027, 5699, 4596, 531, 13726, 10154, 653, 3826, 10952, 236881, 564, 14275, 506, 1171, 3104, 1053, 45819, 9626, 532, 6511, 18088, 236764, 837, 100146, 607, 1041, 2142, 528, 24488, 236761, 15704, 993, 236789, 236751, 919, 528, 236772, 15104, 8283, 580, 1724, 14050, 580, 3104, 236743, 236778, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 26984, 1083, 78493, 3250, 1083, 623, 17224, 15547, 12498, 827, 623, 7777, 1083, 623, 12553, 236772, 36359, 2778, 18088, 1458, 573, 5431, 7088, 1699, 37247, 21615, 532, 5464, 4735, 827, 623, 19413, 7378, 1083, 11058, 49321, 24569, 827, 623, 89024, 827, 623, 67122, 705, 35438, 14255, 623, 4818, 1083, 623, 14009, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 3250, 1083, 623, 147716, 64477, 35438, 827, 623, 7777, 1083, 623, 71275, 38649, 16074, 5058, 37803, 93788, 532, 12498, 573, 13726, 2561, 6799, 827, 623, 19413, 7378, 1083, 11058, 32651, 827, 623, 236799, 2783, 827, 623, 71275, 49878, 14255, 623, 4818, 1083, 623, 902, 8236, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 3250, 1083, 623, 35153, 6642, 178565, 22083, 827, 623, 7777, 1083, 623, 41999, 10040, 1458, 573, 21558, 60718, 5417, 528, 74280, 5699, 827, 623, 19413, 7378, 1083, 11058, 7084, 20741, 827, 623, 39300, 19180, 827, 623, 149926, 8813, 14255, 623, 4818, 1083, 623, 83467, 827, 623, 500, 113458, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 29449, 1083, 623, 21692, 3997, 13726, 10154, 827, 623, 500, 113458, 236779, 34436, 1083, 236743, 236771, 236761, 236828, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 13726, 5431, 3997, 5699, 699, 3104, 236743, 236778, 236787, 108, 236770, 236761, 5213, 17224, 15547, 12498, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 12498, 236772, 36359, 2778, 18088, 1458, 1699, 37247, 21615, 532, 5464, 4735, 573, 5431, 7088, 138, 107, 139, 236772, 808, 205036, 63508, 147420, 236764, 37247, 236764, 214936, 35438, 138, 107, 139, 236772, 808, 6717, 63508, 23531, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 236743, 236819, 236778, 236908, 138, 108, 236778, 236761, 5213, 147716, 64477, 35438, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 29515, 38649, 52299, 37803, 93788, 532, 12498, 573, 13726, 2561, 6799, 138, 107, 139, 236772, 808, 205036, 63508, 17856, 236764, 93788, 236764, 29515, 49878, 138, 107, 139, 236772, 808, 6717, 63508, 799, 8236, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 236743, 236828, 236828, 236908, 138, 108, 236800, 236761, 5213, 35153, 6642, 178565, 22083, 1018, 138, 107, 139, 236772, 808, 9770, 63508, 16796, 10040, 1458, 21558, 60718, 5417, 528, 74280, 5699, 138, 107, 139, 236772, 808, 205036, 63508, 179509, 236764, 22267, 19180, 236764, 43549, 8813, 138, 107, 139, 236772, 808, 6717, 63508, 173315, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 236743, 236828, 236810, 236908, 138, 108, 3810, 659, 5213, 236800, 2558, 7704, 1018, 529, 2536, 568, 236778, 236832, 5699, 236768, 607, 24488, 18774, 6055, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 3104, 236743, 236800, 573, 4767, 5699, 236881, 138, 107, 236778, 236761, 10867, 688, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3213, 580, 3530, 10952, 1133, 93788, 653, 37247, 20625, 138, 107, 236800, 236761, 46071, 4889, 1003, 1027, 3530, 2203, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 11327, 7086, 15547, 12498, 528, 919, 8052, 236888, 669, 6492, 42298, 625, 6178, 37247, 21615, 532, 5464, 4735, 573, 2778, 18088, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 3530, 8330, 23003, 653, 1624, 5254, 2487, 1003, 910, 8688, 236881, 564, 236789, 236757, 23210, 1217, 901, 25139, 24488, 19455, 1131, 1759, 236772, 2289, 5431, 81014, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 4767, 8330, 23003, 653, 1624, 5254, 6998, 1144, 236789, 236751, 3847, 528, 506, 2203, 20104, 236764, 618, 1041, 6436, 1186, 2174, 786, 531, 33205, 506, 77002, 2203, 1262, 3505, 528, 506, 3927, 2536, 236761, 3153, 236764, 611, 1451, 236787, 108, 236770, 236761, 26922, 506, 2203, 236789, 236751, 5125, 4456, 568, 584, 2487, 236768, 1343, 910, 9456, 3662, 1938, 107, 236778, 236761, 12808, 573, 623, 17224, 15547, 12498, 1624, 5254, 236775, 528, 496, 3927, 3958, 107, 236800, 236761, 11696, 573, 13434, 13009, 653, 3956, 7248, 49326, 910, 8688, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 3530, 4137, 531, 2679, 506, 2203, 2434, 768, 611, 5370, 855, 531, 1091, 236881, 2408, 1374, 564, 1385, 573, 1032, 5699, 600, 2473, 735, 919, 9813, 13049, 2487, 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, 1202, 531, 2426, 573, 1027, 26104, 12314, 528, 506, 1774, 236743, 236778, 236812, 3885, 600, 2473, 577, 4875, 531, 62611, 1023, 2544, 236789, 236751, 1463, 236761, 1191, 236789, 500, 9333, 1070, 112625, 16972, 28307, 1023, 6951, 236764, 532, 564, 1461, 531, 4196, 7531, 529, 672, 236761, 3199, 611, 1845, 496, 3927, 1699, 506, 30136, 756, 149174, 236748, 17372, 23566, 103709, 1174, 563, 6749, 573, 24284, 1023, 28134, 532, 16977, 5210, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 133624, 236779, 13395, 1083, 11058, 97489, 1810, 5532, 209025, 236761, 854, 827, 623, 97489, 148891, 236772, 95526, 236761, 2108, 827, 623, 97489, 236748, 236772, 2929, 236772, 95526, 236761, 2187, 827, 623, 97489, 148891, 236772, 95526, 236761, 1364, 827, 623, 45505, 236772, 97489, 148891, 236761, 854, 827, 623, 97489, 148891, 236772, 8639, 236761, 2108, 827, 623, 97489, 148891, 236772, 45505, 236761, 2187, 14255, 623, 14210, 1083, 623, 9208, 26104, 964, 8385, 528, 496, 33939, 236743, 236778, 236812, 236772, 13807, 15020, 13952, 236761, 799, 496, 1759, 236772, 12392, 16613, 236764, 1070, 26104, 1149, 577, 15152, 12314, 532, 711, 3819, 25940, 6701, 45128, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 26104, 12314, 528, 506, 1774, 236743, 236778, 236812, 3885, 600, 3014, 15936, 529, 5213, 236775, 149174, 236748, 17372, 23566, 236775, 66515, 108, 1018, 249460, 12808, 129969, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 138, 107, 1018, 246533, 189236, 229414, 53121, 138, 107, 236772, 6331, 1810, 5532, 209025, 236761, 854, 138, 107, 236772, 6331, 148891, 236772, 95526, 236761, 2108, 138, 107, 236772, 112390, 236772, 2929, 236772, 95526, 236761, 2187, 138, 107, 236772, 6331, 148891, 236772, 95526, 236761, 1364, 138, 107, 236772, 9584, 236772, 97489, 148891, 236761, 854, 138, 107, 236772, 6331, 148891, 236772, 8639, 236761, 2108, 138, 107, 236772, 6331, 148891, 236772, 45505, 236761, 2187, 138, 108, 1018, 195096, 46780, 7918, 53121, 138, 107, 9208, 26104, 1149, 3204, 15152, 12314, 7088, 600, 659, 711, 3819, 25940, 6701, 45128, 236761, 4943, 1451, 577, 161119, 147776, 1493, 16972, 653, 112625, 26104, 28307, 822, 5500, 236761, 1701, 32034, 2970, 236787, 138, 107, 236770, 236761, 6890, 7492, 14020, 6436, 531, 2426, 1239, 26104, 573, 44904, 4588, 236761, 138, 107, 236778, 236761, 87644, 822, 5052, 2434, 531, 3355, 1239, 26104, 657, 506, 3707, 1984, 768, 10778, 44904, 236761, 138, 107, 236800, 236761, 14066, 62317, 3361, 26104, 131526, 2232, 531, 5001, 16407, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 653, 2426, 573, 4767, 15936, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 4068, 12396, 236888, 564, 14275, 756, 45505, 236772, 97489, 148891, 236761, 854, 236789, 532, 756, 97489, 148891, 236772, 8639, 236761, 2108, 236789, 659, 6412, 13899, 2338, 901, 62611, 14209, 236786, 11205, 7704, 236761, 28344, 611, 1845, 2264, 3927, 1699, 5213, 236789, 45505, 6331, 148891, 236789, 1018, 618, 506, 30136, 236881, 564, 1461, 531, 4682, 1027, 26104, 26614, 756, 45505, 236789, 607, 15936, 529, 1023, 5500, 1463, 531, 131526, 20054, 112625, 13120, 236761, 3792, 236858, 236751, 992, 2426, 5213, 236789, 97489, 148891, 14209, 236789, 1018, 531, 2890, 1800, 14608, 236761, 1174, 795, 1601, 1023, 5052, 2434, 56856, 7492, 45759, 236761, 2900, 776, 1239, 4767, 27490, 16913, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 45505, 236772, 97489, 148891, 236761, 854, 827, 623, 97489, 148891, 236772, 8639, 236761, 2108, 827, 623, 45505, 236772, 97489, 236748, 236772, 2929, 236761, 2187, 827, 623, 97489, 148891, 236772, 45505, 49357, 236761, 3906, 827, 623, 97489, 148891, 236772, 8639, 236772, 40575, 236761, 54167, 827, 623, 97489, 148891, 236772, 107996, 236761, 45505, 827, 623, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 827, 623, 97489, 148891, 236772, 63703, 236761, 53338, 14255, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 28263, 1083, 3714, 11480, 236779, 37716, 1083, 11058, 45505, 236772, 97489, 148891, 236761, 854, 827, 623, 97489, 148891, 236772, 8639, 236761, 2108, 14255, 623, 114292, 236779, 37716, 1083, 11058, 97489, 148891, 236772, 45505, 49357, 236761, 3906, 827, 623, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 14255, 623, 23184, 1083, 623, 48873, 26104, 1161, 181018, 567, 532, 558, 19749, 15936, 531, 62611, 5125, 18341, 236786, 8639, 100621, 236761, 53399, 13258, 2660, 212934, 529, 1494, 236772, 37716, 26104, 532, 11734, 529, 21037, 236772, 37716, 13176, 1781, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 97489, 148891, 236772, 8639, 236761, 2108, 827, 623, 97489, 148891, 8639, 236761, 2187, 827, 623, 97489, 148891, 236772, 8639, 236772, 4000, 236761, 854, 827, 623, 97489, 148891, 236772, 45505, 8639, 236761, 2108, 827, 623, 97489, 148891, 236772, 8639, 236772, 11205, 236761, 2187, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 12396, 699, 506, 4767, 27490, 26614, 5213, 236775, 45505, 6331, 148891, 236775, 1018, 532, 5213, 236775, 97489, 148891, 14209, 236775, 66515, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 45505, 6331, 148891, 236775, 568, 236828, 2536, 1473, 1018, 138, 107, 1018, 13238, 236772, 71398, 189236, 1018, 568, 157063, 2970, 10325, 1473, 138, 107, 236772, 2165, 45505, 236772, 97489, 148891, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 138, 108, 1018, 166920, 236772, 71398, 189236, 1018, 568, 47805, 573, 44904, 4588, 1473, 138, 107, 236772, 2165, 97489, 148891, 236772, 45505, 49357, 236761, 3906, 236929, 138, 107, 236772, 2165, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 236929, 138, 108, 1018, 13517, 222608, 66515, 138, 107, 236772, 2165, 45505, 236772, 97489, 236748, 236772, 2929, 236761, 2187, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 107996, 236761, 45505, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 63703, 236761, 53338, 236929, 138, 108, 7243, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 97489, 148891, 14209, 236775, 568, 236810, 2536, 1473, 1018, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 46260, 187079, 607, 1494, 236772, 37716, 8610, 2787, 12016, 138, 107, 236772, 2165, 97489, 148891, 8639, 236761, 2187, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236772, 4000, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 45505, 8639, 236761, 2108, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236772, 11205, 236761, 2187, 236929, 138, 108, 7243, 108, 10354, 236743, 195096, 5213, 3503, 73022, 1018, 138, 107, 236770, 236761, 5213, 13238, 236772, 71398, 7178, 35680, 66515, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 7412, 528, 1800, 34369, 532, 563, 85859, 618, 1494, 236772, 37716, 2779, 531, 1061, 62611, 824, 529, 496, 14209, 22238, 236761, 138, 107, 236778, 236761, 5213, 215473, 1229, 29164, 66515, 42800, 616, 659, 64004, 181018, 567, 236764, 558, 19749, 15936, 20442, 236761, 3906, 8347, 123281, 12138, 8347, 123281, 53338, 59740, 532, 30154, 1133, 623, 45505, 2098, 623, 107996, 2098, 532, 623, 63703, 236775, 531, 87332, 606, 26576, 18341, 236786, 8639, 7704, 236761, 138, 107, 236800, 236761, 5213, 61117, 3801, 183695, 66515, 138, 107, 139, 236772, 2165, 97489, 148891, 236772, 107996, 236761, 45505, 236929, 532, 2165, 97489, 148891, 236772, 63703, 236761, 53338, 236929, 3600, 16972, 531, 38755, 5210, 528, 5052, 236772, 10619, 36010, 236761, 138, 107, 139, 236772, 2165, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 236929, 6178, 496, 6425, 2509, 558, 19749, 531, 3196, 30781, 236761, 138, 108, 7243, 108, 10354, 236743, 247182, 238178, 5213, 75652, 57354, 1018, 138, 107, 236770, 236761, 5213, 30255, 77372, 558, 10487, 102353, 66515, 55358, 16407, 236786, 236745, 10487, 931, 10512, 573, 5213, 11480, 236772, 37716, 26104, 1018, 568, 38279, 2165, 45505, 236772, 97489, 148891, 236761, 854, 236929, 532, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 59395, 138, 107, 236778, 236761, 5213, 10809, 657, 10981, 16575, 66515, 4140, 784, 9456, 26104, 531, 822, 68008, 236786, 236796, 21664, 3797, 531, 5001, 9470, 2802, 236761, 138, 107, 236800, 236761, 5213, 52804, 49231, 111536, 66515, 7179, 768, 1239, 26104, 735, 4341, 49231, 35065, 568, 236746, 3364, 74628, 531, 3196, 623, 45505, 4248, 138, 107, 236812, 236761, 5213, 1489, 5034, 36997, 66515, 14066, 62317, 3361, 26104, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 45505, 236761, 854, 8347, 2165, 8639, 236772, 97489, 148891, 236761, 2187, 18833, 531, 5001, 3402, 16407, 236761, 138, 107, 236810, 236761, 5213, 20735, 72253, 66515, 35868, 4698, 1003, 1239, 26104, 4323, 112625, 29014, 653, 5052, 14400, 2794, 236761, 138, 108, 38786, 611, 1133, 786, 531, 8729, 496, 45412, 2072, 529, 1239, 26104, 573, 822, 5052, 2434, 653, 6361, 607, 2660, 212934, 2864, 23693, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 25890, 236888, 669, 28981, 580, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 563, 4285, 75851, 236761, 3792, 236858, 236751, 1769, 672, 496, 2918, 3342, 237028, 46052, 611, 2426, 573, 26104, 26614, 5213, 236789, 149174, 236748, 17372, 236789, 1018, 607, 5213, 236789, 49357, 236789, 1018, 653, 5213, 236789, 41253, 236789, 1018, 236881, 42800, 616, 2473, 577, 159380, 522, 1023, 9470, 22238, 653, 28250, 3797, 2148, 236761, 1174, 795, 1601, 775, 47109, 910, 2148, 2827, 532, 9584, 1023, 5177, 38649, 108616, 236761, 3792, 236858, 236751, 4196, 7531, 529, 672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 97489, 148891, 49357, 236761, 854, 827, 623, 97489, 148891, 236772, 49357, 236761, 2108, 827, 623, 97489, 148891, 41253, 236761, 2187, 827, 623, 49357, 236772, 97489, 148891, 236761, 2187, 827, 623, 41253, 97489, 148891, 236761, 2108, 827, 623, 97489, 148891, 45505, 49357, 236761, 854, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 97489, 148891, 236772, 41253, 236761, 854, 827, 623, 97489, 148891, 41253, 236761, 2108, 827, 623, 97489, 148891, 236772, 107996, 236761, 2187, 827, 623, 97489, 148891, 236772, 49357, 236761, 2108, 827, 623, 97489, 148891, 49357, 236761, 2187, 827, 623, 97489, 148891, 236772, 45505, 41253, 236761, 854, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 12396, 699, 506, 15744, 34369, 26614, 5213, 236775, 149174, 236748, 17372, 236775, 1018, 607, 5213, 236775, 49357, 236775, 1018, 532, 5213, 236775, 41253, 236775, 66515, 108, 7243, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 149174, 236748, 17372, 22238, 236775, 568, 236825, 2536, 1473, 1018, 138, 107, 236772, 2165, 97489, 148891, 49357, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 16807, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 41253, 236761, 2187, 236929, 138, 107, 236772, 2165, 49357, 236772, 97489, 148891, 236761, 2187, 236929, 138, 107, 236772, 2165, 41253, 97489, 148891, 236761, 2108, 236929, 138, 107, 236772, 2165, 97489, 148891, 45505, 49357, 236761, 854, 236929, 138, 108, 7243, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 149174, 236748, 17372, 16807, 236775, 568, 236825, 2536, 1473, 1018, 138, 107, 236772, 2165, 97489, 148891, 236772, 41253, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 41253, 236761, 2108, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 22238, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 236772, 107996, 236761, 2187, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 22238, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 49357, 236761, 2187, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 22238, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 236772, 45505, 41253, 236761, 854, 236929, 138, 108, 7243, 108, 10354, 236743, 195096, 5213, 3503, 73022, 1018, 138, 107, 236770, 236761, 5213, 4330, 188536, 189236, 66515, 138, 107, 139, 236772, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 236929, 532, 2165, 97489, 148891, 49357, 236761, 2187, 236929, 3196, 528, 1800, 34369, 236764, 17674, 81013, 659, 7257, 15936, 529, 623, 49357, 236775, 532, 623, 41253, 236775, 3075, 236761, 138, 107, 139, 236772, 2165, 97489, 148891, 41253, 236761, 2187, 236929, 532, 2165, 97489, 148891, 41253, 236761, 2108, 236929, 3600, 16972, 531, 62611, 28250, 3797, 236761, 138, 108, 236778, 236761, 5213, 13238, 236772, 71398, 179287, 66515, 138, 107, 139, 236772, 5213, 67901, 789, 567, 833, 558, 19749, 98625, 66515, 42800, 616, 1161, 7317, 7919, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 18833, 532, 558, 19749, 236751, 1133, 123281, 2187, 8347, 123281, 2108, 8347, 532, 123281, 854, 236929, 531, 62611, 71972, 236761, 138, 107, 139, 236772, 5213, 19120, 27733, 16145, 66515, 189236, 1133, 2165, 97489, 148891, 45505, 49357, 236761, 854, 236929, 532, 2165, 97489, 148891, 236772, 45505, 41253, 236761, 854, 236929, 38755, 5210, 528, 623, 45505, 236775, 41628, 236761, 138, 107, 139, 236772, 5213, 88994, 12464, 66515, 2165, 49357, 236772, 97489, 148891, 236761, 2187, 236929, 532, 2165, 41253, 97489, 148891, 236761, 2108, 236929, 32135, 506, 5500, 1463, 531, 5571, 12692, 236761, 138, 108, 236800, 236761, 5213, 61117, 3801, 72627, 66515, 138, 107, 139, 236772, 189236, 1133, 2165, 97489, 148891, 236772, 107996, 236761, 2187, 236929, 3600, 28307, 5074, 236772, 19385, 31324, 568, 236792, 4815, 236768, 653, 9834, 28250, 81014, 236761, 138, 107, 139, 236772, 2165, 97489, 148891, 49357, 236761, 854, 236929, 532, 2165, 97489, 148891, 49357, 236761, 2187, 236929, 5467, 159380, 9470, 100621, 236761, 138, 108, 7243, 108, 10354, 236743, 247182, 238178, 5213, 75652, 57354, 1018, 138, 107, 236770, 236761, 5213, 236774, 10487, 931, 4819, 236772, 71398, 189236, 66515, 22282, 77372, 16407, 7248, 573, 48490, 26104, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 8347, 2165, 97489, 148891, 41253, 236761, 2108, 18833, 532, 1724, 607, 623, 45505, 236775, 528, 506, 1463, 236761, 138, 107, 236778, 236761, 5213, 10809, 2343, 107413, 189236, 66515, 4140, 1091, 531, 68008, 236786, 236796, 21664, 3797, 531, 5001, 9470, 2802, 236761, 138, 107, 236800, 236761, 5213, 52804, 49231, 111536, 66515, 7179, 768, 26104, 1133, 2165, 97489, 148891, 45505, 49357, 236761, 854, 236929, 735, 4341, 49231, 5382, 236751, 568, 11147, 528, 112625, 7088, 769, 138, 107, 236812, 236761, 5213, 1489, 5034, 36997, 66515, 17697, 164491, 15936, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 107996, 236761, 854, 8347, 2165, 49357, 236772, 97489, 148891, 236761, 2108, 18833, 531, 3355, 3402, 16407, 236761, 138, 107, 236810, 236761, 5213, 20735, 72253, 41044, 66515, 92843, 4698, 1003, 159380, 524, 100621, 236786, 107996, 7704, 532, 43928, 112625, 7713, 1699, 1239, 26104, 236761, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 8729, 496, 45412, 2072, 529, 784, 26104, 8385, 834, 2793, 653, 12262, 2660, 212934, 2864, 23693, 573, 89217, 1731, 236786, 218539, 86941, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 531, 2426, 573, 1027, 26104, 12314, 528, 506, 1774, 236743, 236778, 236812, 3885, 600, 2473, 577, 4875, 531, 62611, 1023, 2544, 236789, 236751, 1463, 236761, 1191, 236789, 500, 9333, 1070, 112625, 16972, 28307, 1023, 6951, 236764, 532, 564, 1461, 531, 4196, 7531, 529, 672, 236761, 3199, 611, 1845, 496, 3927, 1699, 506, 30136, 756, 149174, 236748, 17372, 23566, 103709, 1174, 563, 6749, 573, 24284, 1023, 28134, 532, 16977, 5210, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 827, 623, 133624, 236779, 13395, 1083, 11058, 97489, 1810, 5532, 209025, 236761, 854, 827, 623, 97489, 148891, 236772, 95526, 236761, 2108, 827, 623, 97489, 236748, 236772, 2929, 236772, 95526, 236761, 2187, 827, 623, 97489, 148891, 236772, 95526, 236761, 1364, 827, 623, 45505, 236772, 97489, 148891, 236761, 854, 827, 623, 97489, 148891, 236772, 8639, 236761, 2108, 827, 623, 97489, 148891, 236772, 45505, 236761, 2187, 14255, 623, 14210, 1083, 623, 9208, 26104, 964, 8385, 528, 496, 33939, 236743, 236778, 236812, 236772, 13807, 15020, 13952, 236761, 799, 496, 1759, 236772, 12392, 16613, 236764, 1070, 26104, 1149, 577, 15152, 12314, 532, 711, 3819, 25940, 6701, 45128, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 26104, 12314, 528, 506, 1774, 236743, 236778, 236812, 3885, 600, 3014, 15936, 529, 5213, 236775, 149174, 236748, 17372, 23566, 236775, 66515, 108, 1018, 249460, 12808, 129969, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 138, 107, 1018, 246533, 189236, 229414, 53121, 138, 107, 236772, 6331, 1810, 5532, 209025, 236761, 854, 138, 107, 236772, 6331, 148891, 236772, 95526, 236761, 2108, 138, 107, 236772, 112390, 236772, 2929, 236772, 95526, 236761, 2187, 138, 107, 236772, 6331, 148891, 236772, 95526, 236761, 1364, 138, 107, 236772, 9584, 236772, 97489, 148891, 236761, 854, 138, 107, 236772, 6331, 148891, 236772, 8639, 236761, 2108, 138, 107, 236772, 6331, 148891, 236772, 45505, 236761, 2187, 138, 108, 1018, 195096, 46780, 7918, 53121, 138, 107, 9208, 26104, 1149, 3204, 15152, 12314, 7088, 600, 659, 711, 3819, 25940, 6701, 45128, 236761, 4943, 1451, 577, 161119, 147776, 1493, 16972, 653, 112625, 26104, 28307, 822, 5500, 236761, 1701, 32034, 2970, 236787, 138, 107, 236770, 236761, 6890, 7492, 14020, 6436, 531, 2426, 1239, 26104, 573, 44904, 4588, 236761, 138, 107, 236778, 236761, 87644, 822, 5052, 2434, 531, 3355, 1239, 26104, 657, 506, 3707, 1984, 768, 10778, 44904, 236761, 138, 107, 236800, 236761, 14066, 62317, 3361, 26104, 131526, 2232, 531, 5001, 16407, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 653, 2426, 573, 4767, 15936, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 4068, 12396, 236888, 564, 14275, 756, 45505, 236772, 97489, 148891, 236761, 854, 236789, 532, 756, 97489, 148891, 236772, 8639, 236761, 2108, 236789, 659, 6412, 13899, 2338, 901, 62611, 14209, 236786, 11205, 7704, 236761, 28344, 611, 1845, 2264, 3927, 1699, 5213, 236789, 45505, 6331, 148891, 236789, 1018, 618, 506, 30136, 236881, 564, 1461, 531, 4682, 1027, 26104, 26614, 756, 45505, 236789, 607, 15936, 529, 1023, 5500, 1463, 531, 131526, 20054, 112625, 13120, 236761, 3792, 236858, 236751, 992, 2426, 5213, 236789, 97489, 148891, 14209, 236789, 1018, 531, 2890, 1800, 14608, 236761, 1174, 795, 1601, 1023, 5052, 2434, 56856, 7492, 45759, 236761, 2900, 776, 1239, 4767, 27490, 16913, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 45505, 236772, 97489, 148891, 236761, 854, 827, 623, 97489, 148891, 236772, 8639, 236761, 2108, 827, 623, 45505, 236772, 97489, 236748, 236772, 2929, 236761, 2187, 827, 623, 97489, 148891, 236772, 45505, 49357, 236761, 3906, 827, 623, 97489, 148891, 236772, 8639, 236772, 40575, 236761, 54167, 827, 623, 97489, 148891, 236772, 107996, 236761, 45505, 827, 623, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 827, 623, 97489, 148891, 236772, 63703, 236761, 53338, 14255, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 28263, 1083, 3714, 11480, 236779, 37716, 1083, 11058, 45505, 236772, 97489, 148891, 236761, 854, 827, 623, 97489, 148891, 236772, 8639, 236761, 2108, 14255, 623, 114292, 236779, 37716, 1083, 11058, 97489, 148891, 236772, 45505, 49357, 236761, 3906, 827, 623, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 14255, 623, 23184, 1083, 623, 48873, 26104, 1161, 181018, 567, 532, 558, 19749, 15936, 531, 62611, 5125, 18341, 236786, 8639, 100621, 236761, 53399, 13258, 2660, 212934, 529, 1494, 236772, 37716, 26104, 532, 11734, 529, 21037, 236772, 37716, 13176, 1781, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 97489, 148891, 236772, 8639, 236761, 2108, 827, 623, 97489, 148891, 8639, 236761, 2187, 827, 623, 97489, 148891, 236772, 8639, 236772, 4000, 236761, 854, 827, 623, 97489, 148891, 236772, 45505, 8639, 236761, 2108, 827, 623, 97489, 148891, 236772, 8639, 236772, 11205, 236761, 2187, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 12396, 699, 506, 4767, 27490, 26614, 5213, 236775, 45505, 6331, 148891, 236775, 1018, 532, 5213, 236775, 97489, 148891, 14209, 236775, 66515, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 45505, 6331, 148891, 236775, 568, 236828, 2536, 1473, 1018, 138, 107, 1018, 13238, 236772, 71398, 189236, 1018, 568, 157063, 2970, 10325, 1473, 138, 107, 236772, 2165, 45505, 236772, 97489, 148891, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 138, 108, 1018, 166920, 236772, 71398, 189236, 1018, 568, 47805, 573, 44904, 4588, 1473, 138, 107, 236772, 2165, 97489, 148891, 236772, 45505, 49357, 236761, 3906, 236929, 138, 107, 236772, 2165, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 236929, 138, 108, 1018, 13517, 222608, 66515, 138, 107, 236772, 2165, 45505, 236772, 97489, 236748, 236772, 2929, 236761, 2187, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 107996, 236761, 45505, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 63703, 236761, 53338, 236929, 138, 108, 7243, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 97489, 148891, 14209, 236775, 568, 236810, 2536, 1473, 1018, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 46260, 187079, 607, 1494, 236772, 37716, 8610, 2787, 12016, 138, 107, 236772, 2165, 97489, 148891, 8639, 236761, 2187, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236772, 4000, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 45505, 8639, 236761, 2108, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 8639, 236772, 11205, 236761, 2187, 236929, 138, 108, 7243, 108, 10354, 236743, 195096, 5213, 3503, 73022, 1018, 138, 107, 236770, 236761, 5213, 13238, 236772, 71398, 7178, 35680, 66515, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 7412, 528, 1800, 34369, 532, 563, 85859, 618, 1494, 236772, 37716, 2779, 531, 1061, 62611, 824, 529, 496, 14209, 22238, 236761, 138, 107, 236778, 236761, 5213, 215473, 1229, 29164, 66515, 42800, 616, 659, 64004, 181018, 567, 236764, 558, 19749, 15936, 20442, 236761, 3906, 8347, 123281, 12138, 8347, 123281, 53338, 59740, 532, 30154, 1133, 623, 45505, 2098, 623, 107996, 2098, 532, 623, 63703, 236775, 531, 87332, 606, 26576, 18341, 236786, 8639, 7704, 236761, 138, 107, 236800, 236761, 5213, 61117, 3801, 183695, 66515, 138, 107, 139, 236772, 2165, 97489, 148891, 236772, 107996, 236761, 45505, 236929, 532, 2165, 97489, 148891, 236772, 63703, 236761, 53338, 236929, 3600, 16972, 531, 38755, 5210, 528, 5052, 236772, 10619, 36010, 236761, 138, 107, 139, 236772, 2165, 8639, 236772, 45505, 236772, 97489, 148891, 236761, 12138, 236929, 6178, 496, 6425, 2509, 558, 19749, 531, 3196, 30781, 236761, 138, 108, 7243, 108, 10354, 236743, 247182, 238178, 5213, 75652, 57354, 1018, 138, 107, 236770, 236761, 5213, 30255, 77372, 558, 10487, 102353, 66515, 55358, 16407, 236786, 236745, 10487, 931, 10512, 573, 5213, 11480, 236772, 37716, 26104, 1018, 568, 38279, 2165, 45505, 236772, 97489, 148891, 236761, 854, 236929, 532, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 59395, 138, 107, 236778, 236761, 5213, 10809, 657, 10981, 16575, 66515, 4140, 784, 9456, 26104, 531, 822, 68008, 236786, 236796, 21664, 3797, 531, 5001, 9470, 2802, 236761, 138, 107, 236800, 236761, 5213, 52804, 49231, 111536, 66515, 7179, 768, 1239, 26104, 735, 4341, 49231, 35065, 568, 236746, 3364, 74628, 531, 3196, 623, 45505, 4248, 138, 107, 236812, 236761, 5213, 1489, 5034, 36997, 66515, 14066, 62317, 3361, 26104, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 45505, 236761, 854, 8347, 2165, 8639, 236772, 97489, 148891, 236761, 2187, 18833, 531, 5001, 3402, 16407, 236761, 138, 107, 236810, 236761, 5213, 20735, 72253, 66515, 35868, 4698, 1003, 1239, 26104, 4323, 112625, 29014, 653, 5052, 14400, 2794, 236761, 138, 108, 38786, 611, 1133, 786, 531, 8729, 496, 45412, 2072, 529, 1239, 26104, 573, 822, 5052, 2434, 653, 6361, 607, 2660, 212934, 2864, 23693, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 25890, 236888, 669, 28981, 580, 2165, 97489, 148891, 236772, 8639, 236761, 2108, 236929, 563, 4285, 75851, 236761, 3792, 236858, 236751, 1769, 672, 496, 2918, 3342, 237028, 46052, 611, 2426, 573, 26104, 26614, 5213, 236789, 149174, 236748, 17372, 236789, 1018, 607, 5213, 236789, 49357, 236789, 1018, 653, 5213, 236789, 41253, 236789, 1018, 236881, 42800, 616, 2473, 577, 159380, 522, 1023, 9470, 22238, 653, 28250, 3797, 2148, 236761, 1174, 795, 1601, 775, 47109, 910, 2148, 2827, 532, 9584, 1023, 5177, 38649, 108616, 236761, 3792, 236858, 236751, 4196, 7531, 529, 672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 97489, 148891, 49357, 236761, 854, 827, 623, 97489, 148891, 236772, 49357, 236761, 2108, 827, 623, 97489, 148891, 41253, 236761, 2187, 827, 623, 49357, 236772, 97489, 148891, 236761, 2187, 827, 623, 41253, 97489, 148891, 236761, 2108, 827, 623, 97489, 148891, 45505, 49357, 236761, 854, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 97489, 148891, 236772, 41253, 236761, 854, 827, 623, 97489, 148891, 41253, 236761, 2108, 827, 623, 97489, 148891, 236772, 107996, 236761, 2187, 827, 623, 97489, 148891, 236772, 49357, 236761, 2108, 827, 623, 97489, 148891, 49357, 236761, 2187, 827, 623, 97489, 148891, 236772, 45505, 41253, 236761, 854, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 12396, 699, 506, 15744, 34369, 26614, 5213, 236775, 149174, 236748, 17372, 236775, 1018, 607, 5213, 236775, 49357, 236775, 1018, 532, 5213, 236775, 41253, 236775, 66515, 108, 7243, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 149174, 236748, 17372, 22238, 236775, 568, 236825, 2536, 1473, 1018, 138, 107, 236772, 2165, 97489, 148891, 49357, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 16807, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 41253, 236761, 2187, 236929, 138, 107, 236772, 2165, 49357, 236772, 97489, 148891, 236761, 2187, 236929, 138, 107, 236772, 2165, 41253, 97489, 148891, 236761, 2108, 236929, 138, 107, 236772, 2165, 97489, 148891, 45505, 49357, 236761, 854, 236929, 138, 108, 7243, 108, 10354, 236743, 246533, 5213, 160523, 573, 623, 149174, 236748, 17372, 16807, 236775, 568, 236825, 2536, 1473, 1018, 138, 107, 236772, 2165, 97489, 148891, 236772, 41253, 236761, 854, 236929, 138, 107, 236772, 2165, 97489, 148891, 41253, 236761, 2108, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 22238, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 236772, 107996, 236761, 2187, 236929, 138, 107, 236772, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 22238, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 49357, 236761, 2187, 236929, 46260, 187079, 607, 623, 149174, 236748, 17372, 22238, 236775, 3927, 12016, 138, 107, 236772, 2165, 97489, 148891, 236772, 45505, 41253, 236761, 854, 236929, 138, 108, 7243, 108, 10354, 236743, 195096, 5213, 3503, 73022, 1018, 138, 107, 236770, 236761, 5213, 4330, 188536, 189236, 66515, 138, 107, 139, 236772, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 236929, 532, 2165, 97489, 148891, 49357, 236761, 2187, 236929, 3196, 528, 1800, 34369, 236764, 17674, 81013, 659, 7257, 15936, 529, 623, 49357, 236775, 532, 623, 41253, 236775, 3075, 236761, 138, 107, 139, 236772, 2165, 97489, 148891, 41253, 236761, 2187, 236929, 532, 2165, 97489, 148891, 41253, 236761, 2108, 236929, 3600, 16972, 531, 62611, 28250, 3797, 236761, 138, 108, 236778, 236761, 5213, 13238, 236772, 71398, 179287, 66515, 138, 107, 139, 236772, 5213, 67901, 789, 567, 833, 558, 19749, 98625, 66515, 42800, 616, 1161, 7317, 7919, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 18833, 532, 558, 19749, 236751, 1133, 123281, 2187, 8347, 123281, 2108, 8347, 532, 123281, 854, 236929, 531, 62611, 71972, 236761, 138, 107, 139, 236772, 5213, 19120, 27733, 16145, 66515, 189236, 1133, 2165, 97489, 148891, 45505, 49357, 236761, 854, 236929, 532, 2165, 97489, 148891, 236772, 45505, 41253, 236761, 854, 236929, 38755, 5210, 528, 623, 45505, 236775, 41628, 236761, 138, 107, 139, 236772, 5213, 88994, 12464, 66515, 2165, 49357, 236772, 97489, 148891, 236761, 2187, 236929, 532, 2165, 41253, 97489, 148891, 236761, 2108, 236929, 32135, 506, 5500, 1463, 531, 5571, 12692, 236761, 138, 108, 236800, 236761, 5213, 61117, 3801, 72627, 66515, 138, 107, 139, 236772, 189236, 1133, 2165, 97489, 148891, 236772, 107996, 236761, 2187, 236929, 3600, 28307, 5074, 236772, 19385, 31324, 568, 236792, 4815, 236768, 653, 9834, 28250, 81014, 236761, 138, 107, 139, 236772, 2165, 97489, 148891, 49357, 236761, 854, 236929, 532, 2165, 97489, 148891, 49357, 236761, 2187, 236929, 5467, 159380, 9470, 100621, 236761, 138, 108, 7243, 108, 10354, 236743, 247182, 238178, 5213, 75652, 57354, 1018, 138, 107, 236770, 236761, 5213, 236774, 10487, 931, 4819, 236772, 71398, 189236, 66515, 22282, 77372, 16407, 7248, 573, 48490, 26104, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 49357, 236761, 2108, 8347, 2165, 97489, 148891, 41253, 236761, 2108, 18833, 532, 1724, 607, 623, 45505, 236775, 528, 506, 1463, 236761, 138, 107, 236778, 236761, 5213, 10809, 2343, 107413, 189236, 66515, 4140, 1091, 531, 68008, 236786, 236796, 21664, 3797, 531, 5001, 9470, 2802, 236761, 138, 107, 236800, 236761, 5213, 52804, 49231, 111536, 66515, 7179, 768, 26104, 1133, 2165, 97489, 148891, 45505, 49357, 236761, 854, 236929, 735, 4341, 49231, 5382, 236751, 568, 11147, 528, 112625, 7088, 769, 138, 107, 236812, 236761, 5213, 1489, 5034, 36997, 66515, 17697, 164491, 15936, 568, 236744, 236761, 236759, 1126, 2165, 97489, 148891, 236772, 107996, 236761, 854, 8347, 2165, 49357, 236772, 97489, 148891, 236761, 2108, 18833, 531, 3355, 3402, 16407, 236761, 138, 107, 236810, 236761, 5213, 20735, 72253, 41044, 66515, 92843, 4698, 1003, 159380, 524, 100621, 236786, 107996, 7704, 532, 43928, 112625, 7713, 1699, 1239, 26104, 236761, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 8729, 496, 45412, 2072, 529, 784, 26104, 8385, 834, 2793, 653, 12262, 2660, 212934, 2864, 23693, 573, 89217, 1731, 236786, 218539, 86941, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 26149, 2731, 600, 19009, 1041, 10368, 236761, 564, 981, 618, 496, 15201, 2168, 236764, 834, 1041, 2668, 740, 577, 22899, 29455, 236764, 840, 564, 1461, 531, 4196, 528, 6230, 236761, 564, 740, 1186, 25315, 236743, 236800, 236771, 4310, 496, 1719, 236764, 236743, 236800, 2668, 496, 2069, 236761, 30235, 580, 2420, 532, 7157, 20958, 2338, 564, 236858, 236757, 580, 1041, 6172, 784, 1719, 236761, 564, 236858, 859, 577, 2844, 855, 657, 2033, 607, 951, 5842, 236761, 3199, 611, 8729, 496, 2731, 607, 1724, 6137, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 68492, 236779, 15081, 1083, 642, 107, 140, 236775, 15081, 236779, 1201, 1083, 623, 9435, 7708, 833, 17354, 40675, 827, 107, 140, 236775, 19001, 236779, 38466, 1083, 236743, 236800, 236771, 236764, 107, 140, 236775, 27521, 236779, 721, 236779, 14808, 1083, 236743, 236800, 236764, 107, 140, 236775, 7125, 1083, 623, 8147, 827, 107, 140, 236775, 89149, 236779, 15979, 1083, 623, 9745, 827, 107, 140, 236775, 11757, 236779, 37311, 1083, 11058, 125242, 827, 623, 6102, 14255, 107, 140, 236775, 65775, 236779, 41413, 1083, 642, 107, 142, 236775, 13265, 236743, 236770, 1083, 870, 107, 144, 14937, 70338, 1083, 623, 9256, 6078, 40129, 2139, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236770, 236810, 1263, 107, 144, 14937, 70338, 1083, 623, 88994, 80235, 507, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236770, 236778, 810, 2420, 1263, 107, 144, 14937, 70338, 1083, 623, 2740, 1181, 827, 623, 19001, 1083, 623, 236800, 236771, 236772, 236825, 236771, 9093, 827, 623, 4506, 1083, 623, 236800, 236771, 9093, 1534, 7093, 25938, 107, 142, 1604, 107, 142, 236775, 13265, 236743, 236778, 1083, 870, 107, 144, 14937, 70338, 1083, 623, 22297, 1328, 81689, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236778, 236771, 1263, 107, 144, 14937, 70338, 1083, 623, 19770, 113112, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236770, 236810, 1263, 107, 144, 14937, 70338, 1083, 623, 71878, 136240, 1962, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 19001, 1083, 623, 236800, 236771, 9093, 25938, 107, 142, 1604, 107, 142, 236775, 13265, 236743, 236800, 1083, 870, 107, 144, 14937, 70338, 1083, 623, 29557, 555, 1258, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 19001, 1083, 623, 236812, 236810, 9093, 23179, 107, 144, 14937, 70338, 1083, 623, 8571, 236760, 113112, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236778, 236810, 1263, 107, 144, 14937, 70338, 1083, 623, 236799, 22271, 565, 4503, 2391, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236778, 236771, 236783, 107, 142, 236842, 107, 140, 1263, 107, 140, 236775, 96654, 1083, 623, 54950, 1546, 6478, 607, 236743, 236770, 236772, 236778, 4310, 1884, 1534, 7093, 236761, 30235, 580, 12725, 18560, 531, 5001, 28994, 699, 40009, 981, 236772, 10619, 5663, 9262, 1781, 107, 138, 236783, 107, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 34037, 26149, 2731, 5402, 573, 822, 10368, 532, 3548, 236787, 108, 1018, 9435, 7708, 833, 17354, 40675, 9620, 1018, 107, 236772, 5213, 21160, 53121, 236743, 236800, 236771, 4310, 236786, 8494, 236764, 236743, 236800, 236781, 236786, 14808, 107, 236772, 5213, 6375, 53121, 6863, 568, 1904, 5842, 3149, 236768, 107, 236772, 5213, 15354, 53121, 156403, 833, 17354, 568, 1071, 14125, 822, 580, 236772, 17993, 236772, 65910, 3195, 236768, 108, 1018, 97850, 27468, 53121, 107, 236829, 13265, 236743, 236770, 236787, 61807, 30235, 236829, 107, 236772, 21307, 6078, 40129, 2139, 236743, 236800, 236781, 236770, 236810, 107, 236772, 72536, 80235, 507, 236743, 236800, 236781, 236770, 236778, 236786, 2273, 107, 236772, 185439, 236743, 236800, 236781, 236800, 236771, 236772, 236825, 236771, 4416, 108, 236829, 13265, 236743, 236778, 236787, 162014, 30235, 236829, 107, 236772, 7585, 1328, 81689, 236743, 236800, 236781, 236778, 236771, 107, 236772, 7708, 113112, 236743, 236800, 236781, 236770, 236810, 107, 236772, 17587, 136240, 1962, 236743, 236800, 236781, 236800, 236771, 4416, 108, 236829, 13265, 236743, 236800, 236787, 69489, 30235, 236829, 107, 236772, 12090, 555, 1258, 236743, 236800, 236781, 236812, 236810, 4416, 107, 236772, 216737, 113112, 236743, 236800, 236781, 236778, 236810, 107, 236772, 108778, 565, 4503, 2391, 236743, 236800, 236781, 236778, 236771, 108, 1018, 81851, 53121, 107, 236770, 236761, 10973, 236743, 236770, 236772, 236778, 4310, 1534, 7093, 107, 236778, 236761, 22282, 77372, 12725, 18560, 1024, 4249, 107, 236800, 236761, 35593, 12732, 684, 55353, 68450, 236786, 2289, 618, 4354, 107, 236812, 236761, 30235, 580, 25638, 531, 9688, 28994, 108, 2094, 2731, 41131, 11103, 15154, 607, 10941, 24481, 573, 5026, 3016, 580, 910, 6172, 784, 1719, 236761, 669, 2742, 6078, 20958, 795, 1601, 4883, 6332, 2180, 20226, 4767, 5842, 236761, 21284, 611, 1133, 1027, 24382, 531, 3530, 20958, 236881, 106, 107, 105, 2364, 107, 236777, 1164, 2506, 1063, 699, 34499, 43008, 532, 1461, 531, 4196, 10448, 580, 2263, 130580, 993, 236761, 3199, 611, 2426, 506, 6524, 4668, 3104, 573, 34499, 43008, 1699, 506, 4668, 236779, 27083, 236779, 4000, 5904, 236881, 564, 236789, 236757, 23210, 1003, 1027, 861, 12616, 653, 9226, 4749, 600, 2473, 577, 5367, 16329, 855, 2148, 990, 564, 3517, 2523, 236761, 5393, 834, 611, 1281, 236764, 564, 5278, 6666, 600, 7298, 6672, 2780, 1133, 520, 1340, 9755, 753, 7463, 611, 1451, 8357, 1027, 9180, 47229, 600, 4691, 600, 6492, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 86563, 1083, 78493, 3250, 1083, 623, 4199, 29223, 756, 236773, 2848, 21152, 26340, 236789, 112294, 528, 5054, 22424, 827, 623, 6011, 1083, 623, 236776, 861, 182896, 68916, 528, 6672, 34499, 129379, 19292, 1133, 520, 1340, 9755, 532, 531, 50888, 19015, 22964, 236761, 80007, 3892, 4252, 532, 2523, 236772, 3061, 33398, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 135673, 569, 759, 109619, 5054, 124293, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 185131, 236743, 236778, 236771, 236778, 236810, 10452, 1048, 827, 623, 6011, 1083, 623, 162890, 43008, 236789, 236751, 7488, 9226, 14680, 21577, 14069, 532, 48663, 236764, 2440, 6672, 95378, 4252, 4402, 532, 2263, 90760, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 174779, 83545, 40434, 13642, 2964, 64552, 9500, 827, 623, 6011, 1083, 623, 13149, 14369, 8324, 607, 56049, 531, 11723, 5764, 236772, 1071, 236772, 5127, 10154, 236764, 607, 3131, 861, 967, 1302, 205292, 9871, 13015, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4000, 236779, 547, 1083, 623, 8028, 11903, 236779, 20320, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 4668, 699, 34499, 43008, 607, 496, 3213, 580, 6672, 6540, 532, 27249, 236787, 108, 1018, 246903, 1799, 29223, 35868, 236888, 1018, 138, 107, 236829, 236773, 2848, 21152, 26340, 236829, 815, 8678, 528, 5054, 22424, 68916, 528, 24636, 34499, 129379, 19292, 1133, 5213, 1289, 236760, 9755, 1018, 532, 5213, 236745, 731, 2699, 84750, 70731, 3204, 236787, 138, 107, 236772, 12831, 236772, 3061, 33398, 573, 4402, 138, 107, 236772, 15097, 6672, 4252, 19575, 138, 107, 236772, 48630, 4563, 4011, 573, 58405, 138, 108, 1018, 242061, 32462, 12209, 236787, 15467, 569, 759, 109619, 5054, 151365, 568, 236778, 236771, 236778, 236810, 62902, 138, 107, 162890, 43008, 236789, 236751, 7488, 9226, 14680, 59817, 236787, 138, 107, 236772, 77151, 236787, 870, 4348, 9155, 528, 4668, 12323, 236842, 138, 107, 236772, 10452, 1048, 18482, 6672, 5213, 236763, 45666, 4252, 1018, 4402, 138, 107, 236772, 193030, 9766, 58442, 2263, 34294, 138, 108, 1018, 242980, 46745, 12579, 53121, 138, 107, 236776, 13726, 24949, 17358, 563, 21494, 967, 1302, 205292, 9871, 3418, 506, 9884, 236764, 7107, 861, 7760, 531, 3517, 2263, 27818, 532, 2056, 10835, 236772, 6047, 13153, 236761, 138, 108, 3243, 8511, 1873, 618, 529, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 4889, 1003, 1239, 8511, 653, 2426, 573, 4767, 9180, 3835, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 4453, 14069, 573, 506, 15467, 569, 759, 109619, 5054, 151365, 532, 2426, 768, 993, 659, 1027, 1032, 861, 12616, 528, 7100, 21274, 4782, 5054, 22424, 600, 3213, 580, 6672, 520, 1340, 9755, 653, 674, 574, 1284, 618, 1438, 236881, 564, 236858, 236753, 2765, 531, 11327, 2523, 236772, 4503, 16746, 1913, 1041, 2148, 3517, 531, 506, 9884, 236858, 236751, 9228, 236761, 6542, 236764, 1677, 506, 4676, 4928, 3662, 4889, 653, 19246, 573, 555, 2848, 21152, 26340, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 4767, 4889, 6998, 506, 4068, 4668, 236779, 6011, 3847, 236761, 669, 5213, 12959, 236779, 27083, 236779, 4000, 1018, 5904, 1186, 7623, 45774, 236786, 114687, 695, 24271, 684, 3104, 236779, 547, 236764, 840, 4038, 236789, 236745, 1894, 34252, 1131, 3530, 10308, 653, 61872, 3662, 1938, 236761, 1701, 506, 4889, 611, 236789, 500, 46133, 236764, 611, 236789, 236753, 1202, 531, 236787, 108, 236770, 236761, 7179, 506, 5213, 135673, 569, 759, 109619, 5054, 151365, 1018, 5125, 4456, 653, 2777, 4009, 573, 4453, 14069, 236761, 107, 236778, 236761, 6890, 496, 5213, 6047, 1960, 12229, 1018, 568, 5282, 6475, 39247, 653, 133296, 236768, 531, 3927, 573, 2523, 236772, 4503, 12616, 528, 34499, 43008, 236789, 236751, 9228, 236761, 107, 236800, 236761, 26922, 5213, 236773, 2848, 21152, 26340, 236789, 236751, 4456, 1018, 653, 2777, 4009, 573, 3421, 236786, 11607, 4889, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 2870, 3927, 11298, 653, 37485, 528, 14361, 531, 1601, 611, 1586, 1239, 4889, 22014, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 26149, 2731, 600, 19009, 1041, 10368, 236761, 564, 981, 618, 496, 15201, 2168, 236764, 834, 1041, 2668, 740, 577, 22899, 29455, 236764, 840, 564, 1461, 531, 4196, 528, 6230, 236761, 564, 740, 1186, 25315, 236743, 236800, 236771, 4310, 496, 1719, 236764, 236743, 236800, 2668, 496, 2069, 236761, 30235, 580, 2420, 532, 7157, 20958, 2338, 564, 236858, 236757, 580, 1041, 6172, 784, 1719, 236761, 564, 236858, 859, 577, 2844, 855, 657, 2033, 607, 951, 5842, 236761, 3199, 611, 8729, 496, 2731, 607, 1724, 6137, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 68492, 236779, 15081, 1083, 642, 107, 140, 236775, 15081, 236779, 1201, 1083, 623, 9435, 7708, 833, 17354, 40675, 827, 107, 140, 236775, 19001, 236779, 38466, 1083, 236743, 236800, 236771, 236764, 107, 140, 236775, 27521, 236779, 721, 236779, 14808, 1083, 236743, 236800, 236764, 107, 140, 236775, 7125, 1083, 623, 8147, 827, 107, 140, 236775, 89149, 236779, 15979, 1083, 623, 9745, 827, 107, 140, 236775, 11757, 236779, 37311, 1083, 11058, 125242, 827, 623, 6102, 14255, 107, 140, 236775, 65775, 236779, 41413, 1083, 642, 107, 142, 236775, 13265, 236743, 236770, 1083, 870, 107, 144, 14937, 70338, 1083, 623, 9256, 6078, 40129, 2139, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236770, 236810, 1263, 107, 144, 14937, 70338, 1083, 623, 88994, 80235, 507, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236770, 236778, 810, 2420, 1263, 107, 144, 14937, 70338, 1083, 623, 2740, 1181, 827, 623, 19001, 1083, 623, 236800, 236771, 236772, 236825, 236771, 9093, 827, 623, 4506, 1083, 623, 236800, 236771, 9093, 1534, 7093, 25938, 107, 142, 1604, 107, 142, 236775, 13265, 236743, 236778, 1083, 870, 107, 144, 14937, 70338, 1083, 623, 22297, 1328, 81689, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236778, 236771, 1263, 107, 144, 14937, 70338, 1083, 623, 19770, 113112, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236770, 236810, 1263, 107, 144, 14937, 70338, 1083, 623, 71878, 136240, 1962, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 19001, 1083, 623, 236800, 236771, 9093, 25938, 107, 142, 1604, 107, 142, 236775, 13265, 236743, 236800, 1083, 870, 107, 144, 14937, 70338, 1083, 623, 29557, 555, 1258, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 19001, 1083, 623, 236812, 236810, 9093, 23179, 107, 144, 14937, 70338, 1083, 623, 8571, 236760, 113112, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236778, 236810, 1263, 107, 144, 14937, 70338, 1083, 623, 236799, 22271, 565, 4503, 2391, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 236743, 236778, 236771, 236783, 107, 142, 236842, 107, 140, 1263, 107, 140, 236775, 96654, 1083, 623, 54950, 1546, 6478, 607, 236743, 236770, 236772, 236778, 4310, 1884, 1534, 7093, 236761, 30235, 580, 12725, 18560, 531, 5001, 28994, 699, 40009, 981, 236772, 10619, 5663, 9262, 1781, 107, 138, 236783, 107, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 34037, 26149, 2731, 5402, 573, 822, 10368, 532, 3548, 236787, 108, 1018, 9435, 7708, 833, 17354, 40675, 9620, 1018, 107, 236772, 5213, 21160, 53121, 236743, 236800, 236771, 4310, 236786, 8494, 236764, 236743, 236800, 236781, 236786, 14808, 107, 236772, 5213, 6375, 53121, 6863, 568, 1904, 5842, 3149, 236768, 107, 236772, 5213, 15354, 53121, 156403, 833, 17354, 568, 1071, 14125, 822, 580, 236772, 17993, 236772, 65910, 3195, 236768, 108, 1018, 97850, 27468, 53121, 107, 236829, 13265, 236743, 236770, 236787, 61807, 30235, 236829, 107, 236772, 21307, 6078, 40129, 2139, 236743, 236800, 236781, 236770, 236810, 107, 236772, 72536, 80235, 507, 236743, 236800, 236781, 236770, 236778, 236786, 2273, 107, 236772, 185439, 236743, 236800, 236781, 236800, 236771, 236772, 236825, 236771, 4416, 108, 236829, 13265, 236743, 236778, 236787, 162014, 30235, 236829, 107, 236772, 7585, 1328, 81689, 236743, 236800, 236781, 236778, 236771, 107, 236772, 7708, 113112, 236743, 236800, 236781, 236770, 236810, 107, 236772, 17587, 136240, 1962, 236743, 236800, 236781, 236800, 236771, 4416, 108, 236829, 13265, 236743, 236800, 236787, 69489, 30235, 236829, 107, 236772, 12090, 555, 1258, 236743, 236800, 236781, 236812, 236810, 4416, 107, 236772, 216737, 113112, 236743, 236800, 236781, 236778, 236810, 107, 236772, 108778, 565, 4503, 2391, 236743, 236800, 236781, 236778, 236771, 108, 1018, 81851, 53121, 107, 236770, 236761, 10973, 236743, 236770, 236772, 236778, 4310, 1534, 7093, 107, 236778, 236761, 22282, 77372, 12725, 18560, 1024, 4249, 107, 236800, 236761, 35593, 12732, 684, 55353, 68450, 236786, 2289, 618, 4354, 107, 236812, 236761, 30235, 580, 25638, 531, 9688, 28994, 108, 2094, 2731, 41131, 11103, 15154, 607, 10941, 24481, 573, 5026, 3016, 580, 910, 6172, 784, 1719, 236761, 669, 2742, 6078, 20958, 795, 1601, 4883, 6332, 2180, 20226, 4767, 5842, 236761, 21284, 611, 1133, 1027, 24382, 531, 3530, 20958, 236881, 106, 107, 105, 2364, 107, 236777, 1164, 2506, 1063, 699, 34499, 43008, 532, 1461, 531, 4196, 10448, 580, 2263, 130580, 993, 236761, 3199, 611, 2426, 506, 6524, 4668, 3104, 573, 34499, 43008, 1699, 506, 4668, 236779, 27083, 236779, 4000, 5904, 236881, 564, 236789, 236757, 23210, 1003, 1027, 861, 12616, 653, 9226, 4749, 600, 2473, 577, 5367, 16329, 855, 2148, 990, 564, 3517, 2523, 236761, 5393, 834, 611, 1281, 236764, 564, 5278, 6666, 600, 7298, 6672, 2780, 1133, 520, 1340, 9755, 753, 7463, 611, 1451, 8357, 1027, 9180, 47229, 600, 4691, 600, 6492, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 86563, 1083, 78493, 3250, 1083, 623, 4199, 29223, 756, 236773, 2848, 21152, 26340, 236789, 112294, 528, 5054, 22424, 827, 623, 6011, 1083, 623, 236776, 861, 182896, 68916, 528, 6672, 34499, 129379, 19292, 1133, 520, 1340, 9755, 532, 531, 50888, 19015, 22964, 236761, 80007, 3892, 4252, 532, 2523, 236772, 3061, 33398, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 135673, 569, 759, 109619, 5054, 124293, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 185131, 236743, 236778, 236771, 236778, 236810, 10452, 1048, 827, 623, 6011, 1083, 623, 162890, 43008, 236789, 236751, 7488, 9226, 14680, 21577, 14069, 532, 48663, 236764, 2440, 6672, 95378, 4252, 4402, 532, 2263, 90760, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 174779, 83545, 40434, 13642, 2964, 64552, 9500, 827, 623, 6011, 1083, 623, 13149, 14369, 8324, 607, 56049, 531, 11723, 5764, 236772, 1071, 236772, 5127, 10154, 236764, 607, 3131, 861, 967, 1302, 205292, 9871, 13015, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4000, 236779, 547, 1083, 623, 8028, 11903, 236779, 20320, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 4668, 699, 34499, 43008, 607, 496, 3213, 580, 6672, 6540, 532, 27249, 236787, 108, 1018, 246903, 1799, 29223, 35868, 236888, 1018, 138, 107, 236829, 236773, 2848, 21152, 26340, 236829, 815, 8678, 528, 5054, 22424, 68916, 528, 24636, 34499, 129379, 19292, 1133, 5213, 1289, 236760, 9755, 1018, 532, 5213, 236745, 731, 2699, 84750, 70731, 3204, 236787, 138, 107, 236772, 12831, 236772, 3061, 33398, 573, 4402, 138, 107, 236772, 15097, 6672, 4252, 19575, 138, 107, 236772, 48630, 4563, 4011, 573, 58405, 138, 108, 1018, 242061, 32462, 12209, 236787, 15467, 569, 759, 109619, 5054, 151365, 568, 236778, 236771, 236778, 236810, 62902, 138, 107, 162890, 43008, 236789, 236751, 7488, 9226, 14680, 59817, 236787, 138, 107, 236772, 77151, 236787, 870, 4348, 9155, 528, 4668, 12323, 236842, 138, 107, 236772, 10452, 1048, 18482, 6672, 5213, 236763, 45666, 4252, 1018, 4402, 138, 107, 236772, 193030, 9766, 58442, 2263, 34294, 138, 108, 1018, 242980, 46745, 12579, 53121, 138, 107, 236776, 13726, 24949, 17358, 563, 21494, 967, 1302, 205292, 9871, 3418, 506, 9884, 236764, 7107, 861, 7760, 531, 3517, 2263, 27818, 532, 2056, 10835, 236772, 6047, 13153, 236761, 138, 108, 3243, 8511, 1873, 618, 529, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 4889, 1003, 1239, 8511, 653, 2426, 573, 4767, 9180, 3835, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 4453, 14069, 573, 506, 15467, 569, 759, 109619, 5054, 151365, 532, 2426, 768, 993, 659, 1027, 1032, 861, 12616, 528, 7100, 21274, 4782, 5054, 22424, 600, 3213, 580, 6672, 520, 1340, 9755, 653, 674, 574, 1284, 618, 1438, 236881, 564, 236858, 236753, 2765, 531, 11327, 2523, 236772, 4503, 16746, 1913, 1041, 2148, 3517, 531, 506, 9884, 236858, 236751, 9228, 236761, 6542, 236764, 1677, 506, 4676, 4928, 3662, 4889, 653, 19246, 573, 555, 2848, 21152, 26340, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 4767, 4889, 6998, 506, 4068, 4668, 236779, 6011, 3847, 236761, 669, 5213, 12959, 236779, 27083, 236779, 4000, 1018, 5904, 1186, 7623, 45774, 236786, 114687, 695, 24271, 684, 3104, 236779, 547, 236764, 840, 4038, 236789, 236745, 1894, 34252, 1131, 3530, 10308, 653, 61872, 3662, 1938, 236761, 1701, 506, 4889, 611, 236789, 500, 46133, 236764, 611, 236789, 236753, 1202, 531, 236787, 108, 236770, 236761, 7179, 506, 5213, 135673, 569, 759, 109619, 5054, 151365, 1018, 5125, 4456, 653, 2777, 4009, 573, 4453, 14069, 236761, 107, 236778, 236761, 6890, 496, 5213, 6047, 1960, 12229, 1018, 568, 5282, 6475, 39247, 653, 133296, 236768, 531, 3927, 573, 2523, 236772, 4503, 12616, 528, 34499, 43008, 236789, 236751, 9228, 236761, 107, 236800, 236761, 26922, 5213, 236773, 2848, 21152, 26340, 236789, 236751, 4456, 1018, 653, 2777, 4009, 573, 3421, 236786, 11607, 4889, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 2870, 3927, 11298, 653, 37485, 528, 14361, 531, 1601, 611, 1586, 1239, 4889, 22014, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 106900, 9363, 529, 506, 46174, 2258, 568, 236771, 236764, 236743, 236778, 236810, 236810, 236764, 236743, 236778, 236810, 236810, 20625, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 496, 1292, 531, 7352, 46174, 2258, 2979, 531, 106900, 236761, 3153, 236764, 564, 740, 1601, 611, 9279, 625, 24473, 768, 611, 236789, 236753, 1133, 236761, 21284, 611, 1133, 786, 531, 8082, 506, 23093, 14274, 1657, 573, 46174, 568, 236771, 236764, 236743, 236778, 236810, 236810, 236764, 236743, 236778, 236810, 236810, 236768, 531, 106900, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 106900, 9363, 529, 506, 46174, 2258, 568, 236771, 236764, 236743, 236778, 236810, 236810, 236764, 236743, 236778, 236810, 236810, 20625, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 496, 1292, 531, 7352, 46174, 2258, 2979, 531, 106900, 236761, 3153, 236764, 564, 740, 1601, 611, 9279, 625, 24473, 768, 611, 236789, 236753, 1133, 236761, 21284, 611, 1133, 786, 531, 8082, 506, 23093, 14274, 1657, 573, 46174, 568, 236771, 236764, 236743, 236778, 236810, 236810, 236764, 236743, 236778, 236810, 236810, 236768, 531, 106900, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 7107, 496, 9584, 14209, 1458, 573, 1041, 3399, 1610, 18669, 236761, 5315, 236764, 564, 1461, 531, 2426, 837, 11421, 13696, 672, 1051, 236789, 236751, 7824, 684, 3978, 506, 1903, 11421, 699, 236743, 236778, 236771, 236778, 236800, 1699, 506, 1903, 236779, 96078, 5904, 236761, 4298, 236764, 564, 1202, 531, 8729, 4709, 62267, 573, 1546, 32571, 753, 506, 8918, 3861, 1374, 4241, 506, 1548, 529, 1903, 11421, 8323, 236761, 3199, 611, 6060, 600, 7501, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 96078, 1083, 11058, 62345, 31155, 827, 623, 174521, 827, 623, 43066, 46088, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 4675, 212360, 827, 623, 111859, 519, 827, 623, 104723, 97723, 827, 623, 30790, 703, 645, 165157, 827, 623, 7118, 104376, 827, 623, 122623, 1925, 18360, 827, 623, 136679, 23753, 14255, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236746, 236799, 236800, 236888, 236781, 236855, 236819, 236940, 236802, 236798, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 529, 822, 10512, 236787, 108, 236770, 236761, 5213, 8534, 58887, 573, 236743, 236778, 236771, 236778, 236800, 66515, 107, 139, 236772, 15224, 31155, 107, 139, 236772, 63235, 107, 139, 236772, 144862, 107, 139, 236772, 3602, 212360, 107, 139, 236772, 119925, 107, 139, 236772, 31768, 97723, 107, 139, 236772, 143427, 645, 165157, 107, 139, 236772, 6531, 104376, 107, 139, 236772, 153303, 18360, 107, 139, 236772, 46686, 23753, 108, 236778, 236761, 5213, 46603, 35716, 66515, 107, 139, 236929, 236746, 236799, 236800, 236888, 236781, 236855, 236819, 236940, 236802, 236798, 236929, 568, 236770, 236771, 7579, 236764, 16590, 506, 236743, 236770, 236771, 1903, 11421, 236768, 108, 38786, 611, 1133, 786, 531, 8729, 4767, 62267, 653, 1601, 607, 1027, 1032, 10217, 529, 822, 14209, 1458, 568, 236744, 236761, 236759, 1126, 15345, 19205, 236764, 5052, 11221, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 7107, 496, 9584, 14209, 1458, 573, 1041, 3399, 1610, 18669, 236761, 5315, 236764, 564, 1461, 531, 2426, 837, 11421, 13696, 672, 1051, 236789, 236751, 7824, 684, 3978, 506, 1903, 11421, 699, 236743, 236778, 236771, 236778, 236800, 1699, 506, 1903, 236779, 96078, 5904, 236761, 4298, 236764, 564, 1202, 531, 8729, 4709, 62267, 573, 1546, 32571, 753, 506, 8918, 3861, 1374, 4241, 506, 1548, 529, 1903, 11421, 8323, 236761, 3199, 611, 6060, 600, 7501, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 96078, 1083, 11058, 62345, 31155, 827, 623, 174521, 827, 623, 43066, 46088, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 4675, 212360, 827, 623, 111859, 519, 827, 623, 104723, 97723, 827, 623, 30790, 703, 645, 165157, 827, 623, 7118, 104376, 827, 623, 122623, 1925, 18360, 827, 623, 136679, 23753, 14255, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236746, 236799, 236800, 236888, 236781, 236855, 236819, 236940, 236802, 236798, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 529, 822, 10512, 236787, 108, 236770, 236761, 5213, 8534, 58887, 573, 236743, 236778, 236771, 236778, 236800, 66515, 107, 139, 236772, 15224, 31155, 107, 139, 236772, 63235, 107, 139, 236772, 144862, 107, 139, 236772, 3602, 212360, 107, 139, 236772, 119925, 107, 139, 236772, 31768, 97723, 107, 139, 236772, 143427, 645, 165157, 107, 139, 236772, 6531, 104376, 107, 139, 236772, 153303, 18360, 107, 139, 236772, 46686, 23753, 108, 236778, 236761, 5213, 46603, 35716, 66515, 107, 139, 236929, 236746, 236799, 236800, 236888, 236781, 236855, 236819, 236940, 236802, 236798, 236929, 568, 236770, 236771, 7579, 236764, 16590, 506, 236743, 236770, 236771, 1903, 11421, 236768, 108, 38786, 611, 1133, 786, 531, 8729, 4767, 62267, 653, 1601, 607, 1027, 1032, 10217, 529, 822, 14209, 1458, 568, 236744, 236761, 236759, 1126, 15345, 19205, 236764, 5052, 11221, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1938, 1003, 506, 6225, 143260, 984, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 236761, 3199, 611, 1161, 506, 1586, 236763, 1775, 2078, 984, 5904, 531, 974, 4889, 1003, 600, 2433, 236789, 236751, 16106, 8848, 532, 5499, 14906, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236758, 2078, 984, 1083, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 236764, 623, 3255, 1083, 623, 46130, 19624, 827, 623, 64905, 1083, 623, 26741, 778, 2118, 827, 623, 30477, 1490, 1083, 623, 236799, 36895, 185886, 827, 623, 188964, 236779, 235525, 1083, 3714, 236754, 178020, 1083, 236743, 236770, 236828, 236764, 623, 35884, 1229, 1083, 236743, 236825, 236778, 236764, 623, 36379, 236779, 16602, 236779, 85416, 1083, 236743, 236819, 1263, 623, 38428, 236779, 80284, 1083, 3714, 6725, 236779, 38428, 1083, 236743, 236812, 236828, 236832, 236771, 236771, 236771, 236764, 623, 8819, 236779, 38428, 1083, 236743, 236800, 236819, 236828, 236771, 236771, 236771, 236764, 623, 116994, 236779, 38428, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236764, 623, 6367, 58411, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236771, 1263, 623, 3274, 236779, 38948, 1083, 623, 236799, 36895, 185886, 5884, 6531, 7816, 827, 623, 37673, 1083, 623, 236778, 236771, 236761, 236778, 236825, 236828, 236828, 827, 623, 41713, 1083, 623, 236828, 236810, 236761, 236828, 236778, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 143260, 984, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 236787, 108, 1018, 6375, 41959, 1018, 107, 236772, 3245, 236787, 97316, 107, 236772, 9252, 236787, 8313, 778, 2118, 107, 236772, 16065, 1490, 236787, 228591, 107, 236772, 6531, 7816, 236787, 228591, 5884, 6531, 7816, 108, 1018, 149178, 50390, 1018, 107, 247511, 72288, 236787, 236743, 236770, 236828, 138, 107, 247511, 164206, 236787, 236743, 236825, 236778, 138, 107, 247511, 6110, 5554, 47665, 236787, 236743, 236819, 108, 1018, 48576, 26398, 1018, 107, 247750, 12613, 39208, 236787, 236743, 236812, 236828, 236832, 236764, 236771, 236771, 236771, 138, 107, 248878, 238178, 26762, 39208, 236787, 236743, 236800, 236819, 236828, 236764, 236771, 236771, 236771, 138, 107, 248265, 39259, 39208, 236787, 236743, 236828, 236819, 236764, 236771, 236771, 236771, 138, 107, 246384, 193919, 236787, 236743, 236770, 236770, 236778, 236764, 236771, 236771, 236771, 108, 1018, 8551, 9814, 119558, 1018, 107, 236772, 165356, 236787, 236743, 236778, 236771, 236761, 236778, 236825, 236828, 236828, 107, 236772, 8099, 4637, 236787, 236743, 236828, 236810, 236761, 236828, 236778, 236812, 236810, 108, 6481, 786, 1281, 768, 611, 1202, 1027, 4767, 4889, 1003, 672, 2433, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 143260, 984, 4889, 236761, 564, 236789, 236757, 11337, 3435, 16106, 10534, 7760, 528, 600, 4128, 236761, 28344, 611, 2426, 1873, 8827, 3439, 3541, 1724, 15375, 1699, 506, 974, 236779, 47340, 5904, 236881, 564, 1461, 531, 5608, 36453, 573, 1027, 861, 8848, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 236799, 36895, 185886, 236764, 97316, 827, 623, 47340, 236779, 6011, 1083, 623, 166920, 46535, 580, 22869, 236772, 236770, 236825, 236764, 4398, 4249, 236743, 236812, 236810, 7251, 236786, 236754, 827, 623, 2078, 11568, 236779, 70353, 1083, 11058, 42814, 2025, 580, 15105, 2337, 827, 623, 5475, 1325, 3541, 751, 182984, 24933, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 8827, 1938, 573, 228591, 236764, 97316, 568, 39952, 143260, 984, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 1473, 108, 1018, 60957, 25252, 1018, 107, 236772, 29216, 20402, 236787, 90434, 46535, 107, 236772, 18787, 19109, 568, 16014, 236772, 236770, 236825, 1473, 29748, 4249, 236743, 236812, 236810, 7251, 236786, 236754, 107, 236772, 14040, 5295, 11568, 236787, 107, 138, 195096, 7901, 2025, 580, 15105, 2337, 107, 138, 195096, 79340, 3541, 751, 182984, 24933, 107, 236772, 129969, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236743, 236770, 236812, 236787, 236778, 236800, 42163, 108, 1018, 1514, 62546, 573, 42622, 81909, 1018, 107, 236770, 236761, 111886, 236787, 90434, 46535, 12205, 3435, 30583, 1913, 11519, 3885, 236764, 837, 1149, 4100, 11996, 3072, 2782, 107, 236778, 236761, 47746, 107452, 236787, 107, 139, 236772, 1255, 123428, 531, 15105, 2337, 1149, 1660, 9302, 2802, 16266, 1913, 4284, 2025, 107, 139, 236772, 751, 182984, 24933, 2433, 236789, 236751, 10054, 4083, 11387, 2653, 1202, 573, 16595, 42199, 42301, 107, 236800, 236761, 49598, 7918, 236787, 22869, 236772, 236770, 236825, 236789, 236751, 21037, 46535, 1984, 11387, 2978, 573, 11531, 528, 14227, 12308, 108, 38786, 611, 1133, 786, 531, 2426, 1027, 3530, 75191, 653, 18840, 672, 1262, 3342, 528, 8327, 531, 506, 16106, 8848, 6950, 6517, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 8827, 19317, 236761, 2282, 3342, 13901, 3435, 11024, 573, 861, 16106, 8848, 236764, 1451, 611, 1161, 506, 12270, 236779, 23019, 236779, 1516, 5904, 607, 496, 31740, 1960, 2881, 1548, 573, 496, 3262, 6634, 528, 672, 2433, 236881, 1174, 1093, 1601, 3050, 6330, 2509, 40957, 532, 8701, 28893, 528, 2065, 236761, 106, 107, 105, 4368, 107, 2021, 1161, 506, 2165, 15768, 236779, 23019, 236779, 1516, 236929, 5904, 11974, 236764, 564, 1202, 506, 3530, 31740, 1960, 2881, 1548, 573, 496, 3262, 6634, 528, 228591, 236761, 1701, 2591, 236764, 611, 1451, 2847, 506, 5154, 1548, 529, 496, 19942, 16106, 16253, 1133, 48829, 72288, 236764, 9975, 511, 72288, 236764, 653, 1027, 2263, 6634, 528, 506, 2433, 236761, 19446, 672, 1548, 236764, 564, 3914, 33205, 506, 3149, 1960, 236772, 15396, 1262, 236761, 236743, 108, 9366, 4024, 506, 31740, 1960, 2881, 1548, 529, 496, 7798, 6634, 236764, 532, 564, 795, 18840, 1061, 2509, 6541, 532, 2065, 28893, 1699, 506, 5904, 236761, 1637, 611, 1537, 236858, 236745, 735, 672, 1938, 236764, 564, 740, 3600, 9302, 4615, 531, 9385, 19317, 1003, 6330, 16106, 40957, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1938, 1003, 506, 6225, 143260, 984, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 236761, 3199, 611, 1161, 506, 1586, 236763, 1775, 2078, 984, 5904, 531, 974, 4889, 1003, 600, 2433, 236789, 236751, 16106, 8848, 532, 5499, 14906, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236758, 2078, 984, 1083, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 236764, 623, 3255, 1083, 623, 46130, 19624, 827, 623, 64905, 1083, 623, 26741, 778, 2118, 827, 623, 30477, 1490, 1083, 623, 236799, 36895, 185886, 827, 623, 188964, 236779, 235525, 1083, 3714, 236754, 178020, 1083, 236743, 236770, 236828, 236764, 623, 35884, 1229, 1083, 236743, 236825, 236778, 236764, 623, 36379, 236779, 16602, 236779, 85416, 1083, 236743, 236819, 1263, 623, 38428, 236779, 80284, 1083, 3714, 6725, 236779, 38428, 1083, 236743, 236812, 236828, 236832, 236771, 236771, 236771, 236764, 623, 8819, 236779, 38428, 1083, 236743, 236800, 236819, 236828, 236771, 236771, 236771, 236764, 623, 116994, 236779, 38428, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236764, 623, 6367, 58411, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236771, 1263, 623, 3274, 236779, 38948, 1083, 623, 236799, 36895, 185886, 5884, 6531, 7816, 827, 623, 37673, 1083, 623, 236778, 236771, 236761, 236778, 236825, 236828, 236828, 827, 623, 41713, 1083, 623, 236828, 236810, 236761, 236828, 236778, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 143260, 984, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 236787, 108, 1018, 6375, 41959, 1018, 107, 236772, 3245, 236787, 97316, 107, 236772, 9252, 236787, 8313, 778, 2118, 107, 236772, 16065, 1490, 236787, 228591, 107, 236772, 6531, 7816, 236787, 228591, 5884, 6531, 7816, 108, 1018, 149178, 50390, 1018, 107, 247511, 72288, 236787, 236743, 236770, 236828, 138, 107, 247511, 164206, 236787, 236743, 236825, 236778, 138, 107, 247511, 6110, 5554, 47665, 236787, 236743, 236819, 108, 1018, 48576, 26398, 1018, 107, 247750, 12613, 39208, 236787, 236743, 236812, 236828, 236832, 236764, 236771, 236771, 236771, 138, 107, 248878, 238178, 26762, 39208, 236787, 236743, 236800, 236819, 236828, 236764, 236771, 236771, 236771, 138, 107, 248265, 39259, 39208, 236787, 236743, 236828, 236819, 236764, 236771, 236771, 236771, 138, 107, 246384, 193919, 236787, 236743, 236770, 236770, 236778, 236764, 236771, 236771, 236771, 108, 1018, 8551, 9814, 119558, 1018, 107, 236772, 165356, 236787, 236743, 236778, 236771, 236761, 236778, 236825, 236828, 236828, 107, 236772, 8099, 4637, 236787, 236743, 236828, 236810, 236761, 236828, 236778, 236812, 236810, 108, 6481, 786, 1281, 768, 611, 1202, 1027, 4767, 4889, 1003, 672, 2433, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 143260, 984, 4889, 236761, 564, 236789, 236757, 11337, 3435, 16106, 10534, 7760, 528, 600, 4128, 236761, 28344, 611, 2426, 1873, 8827, 3439, 3541, 1724, 15375, 1699, 506, 974, 236779, 47340, 5904, 236881, 564, 1461, 531, 5608, 36453, 573, 1027, 861, 8848, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 236799, 36895, 185886, 236764, 97316, 827, 623, 47340, 236779, 6011, 1083, 623, 166920, 46535, 580, 22869, 236772, 236770, 236825, 236764, 4398, 4249, 236743, 236812, 236810, 7251, 236786, 236754, 827, 623, 2078, 11568, 236779, 70353, 1083, 11058, 42814, 2025, 580, 15105, 2337, 827, 623, 5475, 1325, 3541, 751, 182984, 24933, 14255, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 8827, 1938, 573, 228591, 236764, 97316, 568, 39952, 143260, 984, 236743, 236832, 236810, 236770, 236771, 236770, 236800, 1473, 108, 1018, 60957, 25252, 1018, 107, 236772, 29216, 20402, 236787, 90434, 46535, 107, 236772, 18787, 19109, 568, 16014, 236772, 236770, 236825, 1473, 29748, 4249, 236743, 236812, 236810, 7251, 236786, 236754, 107, 236772, 14040, 5295, 11568, 236787, 107, 138, 195096, 7901, 2025, 580, 15105, 2337, 107, 138, 195096, 79340, 3541, 751, 182984, 24933, 107, 236772, 129969, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236743, 236770, 236812, 236787, 236778, 236800, 42163, 108, 1018, 1514, 62546, 573, 42622, 81909, 1018, 107, 236770, 236761, 111886, 236787, 90434, 46535, 12205, 3435, 30583, 1913, 11519, 3885, 236764, 837, 1149, 4100, 11996, 3072, 2782, 107, 236778, 236761, 47746, 107452, 236787, 107, 139, 236772, 1255, 123428, 531, 15105, 2337, 1149, 1660, 9302, 2802, 16266, 1913, 4284, 2025, 107, 139, 236772, 751, 182984, 24933, 2433, 236789, 236751, 10054, 4083, 11387, 2653, 1202, 573, 16595, 42199, 42301, 107, 236800, 236761, 49598, 7918, 236787, 22869, 236772, 236770, 236825, 236789, 236751, 21037, 46535, 1984, 11387, 2978, 573, 11531, 528, 14227, 12308, 108, 38786, 611, 1133, 786, 531, 2426, 1027, 3530, 75191, 653, 18840, 672, 1262, 3342, 528, 8327, 531, 506, 16106, 8848, 6950, 6517, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 8827, 19317, 236761, 2282, 3342, 13901, 3435, 11024, 573, 861, 16106, 8848, 236764, 1451, 611, 1161, 506, 12270, 236779, 23019, 236779, 1516, 5904, 607, 496, 31740, 1960, 2881, 1548, 573, 496, 3262, 6634, 528, 672, 2433, 236881, 1174, 1093, 1601, 3050, 6330, 2509, 40957, 532, 8701, 28893, 528, 2065, 236761, 106, 107, 105, 4368, 107, 2021, 1161, 506, 2165, 15768, 236779, 23019, 236779, 1516, 236929, 5904, 11974, 236764, 564, 1202, 506, 3530, 31740, 1960, 2881, 1548, 573, 496, 3262, 6634, 528, 228591, 236761, 1701, 2591, 236764, 611, 1451, 2847, 506, 5154, 1548, 529, 496, 19942, 16106, 16253, 1133, 48829, 72288, 236764, 9975, 511, 72288, 236764, 653, 1027, 2263, 6634, 528, 506, 2433, 236761, 19446, 672, 1548, 236764, 564, 3914, 33205, 506, 3149, 1960, 236772, 15396, 1262, 236761, 236743, 108, 9366, 4024, 506, 31740, 1960, 2881, 1548, 529, 496, 7798, 6634, 236764, 532, 564, 795, 18840, 1061, 2509, 6541, 532, 2065, 28893, 1699, 506, 5904, 236761, 1637, 611, 1537, 236858, 236745, 735, 672, 1938, 236764, 564, 740, 3600, 9302, 4615, 531, 9385, 19317, 1003, 6330, 16106, 40957, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 48301, 6235, 573, 506, 2148, 10940, 600, 16071, 580, 496, 9735, 528, 13106, 616, 6914, 236764, 13187, 236761, 5315, 236764, 1586, 784, 20720, 1534, 6198, 236743, 236770, 540, 532, 6384, 236743, 236800, 236770, 540, 528, 13106, 616, 6914, 236764, 13187, 236764, 1299, 2426, 506, 4398, 13136, 7094, 573, 20058, 3393, 236743, 236770, 236832, 236810, 236810, 236770, 531, 1460, 768, 625, 236789, 236751, 496, 1535, 990, 573, 496, 75693, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 205192, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 23179, 3714, 1201, 1083, 623, 21999, 616, 6914, 16175, 15467, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236812, 23179, 3714, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 12879, 24502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236800, 23179, 3714, 1201, 1083, 623, 35966, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236770, 236832, 236810, 236810, 236770, 827, 623, 28128, 236779, 159521, 236779, 27163, 1083, 236743, 236825, 236778, 236810, 236771, 236771, 236764, 623, 41129, 236779, 159521, 236779, 27163, 1083, 236743, 236810, 236828, 236771, 236771, 236771, 236764, 623, 38428, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 1516, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 1516, 236779, 6265, 1083, 623, 7741, 32857, 40035, 10252, 753, 749, 236761, 236773, 236761, 38710, 18445, 25938, 106, 107, 105, 4368, 107, 818, 20720, 1534, 6198, 236743, 236770, 540, 532, 6384, 236743, 236800, 236770, 540, 528, 13106, 616, 6914, 236764, 13187, 236764, 600, 3798, 580, 496, 9735, 659, 236787, 107, 236772, 5213, 21999, 616, 6914, 16175, 15467, 1018, 580, 5213, 36956, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 107, 236772, 5213, 103591, 743, 6156, 1018, 580, 5213, 36956, 236743, 236770, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 107, 236772, 5213, 35966, 1018, 580, 5213, 36471, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 108, 818, 5213, 4874, 16038, 9735, 10940, 1018, 573, 822, 48301, 6235, 563, 5213, 36956, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 21999, 616, 6914, 16175, 15467, 769, 108, 47135, 1262, 573, 20058, 3393, 5213, 236770, 236832, 236810, 236810, 236770, 1018, 568, 21999, 616, 6914, 236764, 13187, 236768, 3831, 236787, 107, 236772, 5213, 35089, 13136, 7094, 66515, 609, 236825, 236778, 236764, 236810, 236771, 236771, 107, 236772, 5213, 122397, 13136, 7094, 66515, 609, 236810, 236828, 236764, 236771, 236771, 236771, 108, 2094, 7094, 1984, 12205, 496, 41558, 10385, 3399, 236764, 3043, 625, 496, 5213, 15466, 990, 573, 496, 75693, 84750, 669, 16175, 15467, 568, 36956, 236743, 236812, 236768, 563, 614, 7436, 5506, 531, 4253, 822, 48301, 6235, 236764, 618, 625, 100146, 607, 496, 9735, 2460, 532, 496, 3399, 22658, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 48301, 6235, 573, 506, 2148, 10940, 600, 16071, 580, 496, 9735, 528, 13106, 616, 6914, 236764, 13187, 236761, 5315, 236764, 1586, 784, 20720, 1534, 6198, 236743, 236770, 540, 532, 6384, 236743, 236800, 236770, 540, 528, 13106, 616, 6914, 236764, 13187, 236764, 1299, 2426, 506, 4398, 13136, 7094, 573, 20058, 3393, 236743, 236770, 236832, 236810, 236810, 236770, 531, 1460, 768, 625, 236789, 236751, 496, 1535, 990, 573, 496, 75693, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 205192, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 23179, 3714, 1201, 1083, 623, 21999, 616, 6914, 16175, 15467, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236812, 23179, 3714, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 12879, 24502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236778, 236800, 23179, 3714, 1201, 1083, 623, 35966, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236770, 236832, 236810, 236810, 236770, 827, 623, 28128, 236779, 159521, 236779, 27163, 1083, 236743, 236825, 236778, 236810, 236771, 236771, 236764, 623, 41129, 236779, 159521, 236779, 27163, 1083, 236743, 236810, 236828, 236771, 236771, 236771, 236764, 623, 38428, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 1516, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 1516, 236779, 6265, 1083, 623, 7741, 32857, 40035, 10252, 753, 749, 236761, 236773, 236761, 38710, 18445, 25938, 106, 107, 105, 4368, 107, 818, 20720, 1534, 6198, 236743, 236770, 540, 532, 6384, 236743, 236800, 236770, 540, 528, 13106, 616, 6914, 236764, 13187, 236764, 600, 3798, 580, 496, 9735, 659, 236787, 107, 236772, 5213, 21999, 616, 6914, 16175, 15467, 1018, 580, 5213, 36956, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 107, 236772, 5213, 103591, 743, 6156, 1018, 580, 5213, 36956, 236743, 236770, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 107, 236772, 5213, 35966, 1018, 580, 5213, 36471, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 108, 818, 5213, 4874, 16038, 9735, 10940, 1018, 573, 822, 48301, 6235, 563, 5213, 36956, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 21999, 616, 6914, 16175, 15467, 769, 108, 47135, 1262, 573, 20058, 3393, 5213, 236770, 236832, 236810, 236810, 236770, 1018, 568, 21999, 616, 6914, 236764, 13187, 236768, 3831, 236787, 107, 236772, 5213, 35089, 13136, 7094, 66515, 609, 236825, 236778, 236764, 236810, 236771, 236771, 107, 236772, 5213, 122397, 13136, 7094, 66515, 609, 236810, 236828, 236764, 236771, 236771, 236771, 108, 2094, 7094, 1984, 12205, 496, 41558, 10385, 3399, 236764, 3043, 625, 496, 5213, 15466, 990, 573, 496, 75693, 84750, 669, 16175, 15467, 568, 36956, 236743, 236812, 236768, 563, 614, 7436, 5506, 531, 4253, 822, 48301, 6235, 236764, 618, 625, 100146, 607, 496, 9735, 2460, 532, 496, 3399, 22658, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 496, 8330, 12040, 528, 14361, 1003, 496, 861, 14228, 22690, 9939, 236761, 3199, 611, 17866, 672, 78923, 531, 5422, 236881, 808, 4976, 12598, 569, 31646, 2516, 569, 150789, 14887, 68103, 14931, 210739, 935, 1166, 5102, 236764, 2505, 71979, 103686, 569, 40136, 527, 696, 81171, 5894, 66417, 9603, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 1781, 236783, 106, 107, 105, 4368, 107, 818, 28700, 1816, 563, 236787, 138, 107, 1018, 236775, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 1781, 1018, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 653, 4767, 45375, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 13959, 236761, 4224, 564, 1202, 531, 3050, 506, 8330, 3755, 2480, 236761, 3199, 611, 8540, 808, 132457, 14561, 14228, 1458, 236829, 532, 808, 203952, 13792, 236829, 699, 506, 28700, 1816, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 90906, 1083, 78493, 6061, 1083, 623, 132457, 14561, 14228, 1458, 827, 623, 30124, 1083, 623, 236776, 54433, 1458, 29820, 199237, 14561, 61913, 600, 740, 28773, 2180, 15512, 236764, 10678, 573, 8722, 11764, 532, 7005, 1202, 573, 27980, 528, 17448, 1813, 6429, 4463, 221476, 3714, 6061, 1083, 623, 203952, 13792, 827, 623, 30124, 1083, 623, 69025, 27980, 4464, 684, 216090, 3075, 14228, 10842, 607, 16590, 21792, 25843, 236764, 837, 740, 14846, 20651, 768, 711, 9668, 26800, 653, 93810, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 22414, 529, 506, 8330, 3755, 699, 506, 28700, 1816, 236787, 108, 236770, 236761, 5213, 131223, 48906, 60329, 1804, 1018, 138, 107, 139, 236829, 16716, 149681, 562, 54433, 1458, 1699, 199237, 14561, 61913, 600, 740, 28773, 2180, 15512, 236764, 10678, 8722, 11764, 532, 18661, 27980, 528, 17448, 1813, 6429, 4463, 236761, 138, 108, 236778, 236761, 5213, 11349, 524, 92988, 1018, 138, 107, 139, 236829, 16716, 149681, 60329, 27980, 8254, 684, 216090, 3075, 14228, 10842, 607, 16590, 21792, 25843, 236764, 837, 1149, 20651, 768, 711, 9668, 26800, 653, 93810, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 65977, 653, 4767, 4889, 236888, 106, 107, 105, 2364, 107, 20418, 236764, 506, 22414, 1601, 236761, 4224, 564, 1461, 531, 1386, 2889, 506, 28700, 13315, 17752, 15195, 528, 5422, 236761, 3199, 611, 2426, 506, 40095, 528, 808, 236789, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 13471, 13682, 529, 46302, 528, 17448, 35490, 7085, 236829, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87367, 236779, 1005, 1083, 623, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 17534, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 10498, 623, 21850, 1083, 78493, 1899, 236779, 2084, 1083, 623, 80506, 236224, 827, 623, 17368, 1083, 623, 151273, 13682, 529, 46302, 827, 623, 87367, 1083, 623, 13534, 2003, 13471, 506, 4652, 529, 46302, 827, 623, 146879, 1083, 623, 50189, 756, 13534, 2003, 236789, 573, 54724, 47337, 5603, 532, 32107, 756, 4499, 2357, 236789, 531, 20147, 756, 37716, 236789, 573, 4077, 220502, 607, 756, 151273, 145352, 1263, 3714, 1899, 236779, 2084, 1083, 623, 91642, 3316, 827, 623, 17368, 1083, 623, 151273, 13682, 529, 46302, 827, 623, 87367, 1083, 623, 13534, 2003, 13471, 506, 4652, 529, 46302, 827, 623, 146879, 1083, 623, 121098, 13315, 2727, 684, 8009, 73589, 155994, 756, 13534, 2003, 236789, 531, 37837, 506, 17847, 4191, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 40095, 236772, 22011, 3567, 529, 822, 13315, 236787, 138, 107, 1018, 236775, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 17534, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 1781, 1018, 138, 108, 10354, 9533, 119361, 236787, 138, 107, 236770, 236761, 5213, 80506, 236224, 89282, 66515, 138, 107, 139, 236772, 18909, 236787, 165996, 151273, 13682, 529, 46302, 147698, 138, 107, 139, 236772, 58940, 524, 236787, 165996, 13534, 2003, 13471, 506, 4652, 529, 46302, 147698, 138, 107, 139, 236772, 5213, 44008, 66515, 44629, 165996, 13534, 2003, 147698, 531, 37386, 506, 47337, 4191, 568, 236744, 236761, 236759, 1126, 623, 527, 496, 1354, 1373, 532, 6692, 165996, 4499, 2357, 147698, 531, 165996, 37716, 147698, 573, 4077, 14120, 568, 977, 11082, 1879, 623, 37716, 529, 46302, 2098, 711, 623, 4499, 2357, 4248, 138, 108, 236778, 236761, 5213, 91642, 3316, 54550, 66515, 138, 107, 139, 236772, 44629, 165996, 13534, 2003, 147698, 531, 14051, 2727, 532, 37837, 506, 17847, 529, 506, 2970, 568, 236760, 31017, 13792, 16130, 7005, 46302, 769, 138, 108, 818, 26885, 13315, 32618, 29972, 532, 18510, 1651, 63134, 919, 3756, 528, 8330, 5422, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 3342, 119646, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 496, 8330, 12040, 528, 14361, 1003, 496, 861, 14228, 22690, 9939, 236761, 3199, 611, 17866, 672, 78923, 531, 5422, 236881, 808, 4976, 12598, 569, 31646, 2516, 569, 150789, 14887, 68103, 14931, 210739, 935, 1166, 5102, 236764, 2505, 71979, 103686, 569, 40136, 527, 696, 81171, 5894, 66417, 9603, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 1781, 236783, 106, 107, 105, 4368, 107, 818, 28700, 1816, 563, 236787, 138, 107, 1018, 236775, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 1781, 1018, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 653, 4767, 45375, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 13959, 236761, 4224, 564, 1202, 531, 3050, 506, 8330, 3755, 2480, 236761, 3199, 611, 8540, 808, 132457, 14561, 14228, 1458, 236829, 532, 808, 203952, 13792, 236829, 699, 506, 28700, 1816, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 90906, 1083, 78493, 6061, 1083, 623, 132457, 14561, 14228, 1458, 827, 623, 30124, 1083, 623, 236776, 54433, 1458, 29820, 199237, 14561, 61913, 600, 740, 28773, 2180, 15512, 236764, 10678, 573, 8722, 11764, 532, 7005, 1202, 573, 27980, 528, 17448, 1813, 6429, 4463, 221476, 3714, 6061, 1083, 623, 203952, 13792, 827, 623, 30124, 1083, 623, 69025, 27980, 4464, 684, 216090, 3075, 14228, 10842, 607, 16590, 21792, 25843, 236764, 837, 740, 14846, 20651, 768, 711, 9668, 26800, 653, 93810, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 22414, 529, 506, 8330, 3755, 699, 506, 28700, 1816, 236787, 108, 236770, 236761, 5213, 131223, 48906, 60329, 1804, 1018, 138, 107, 139, 236829, 16716, 149681, 562, 54433, 1458, 1699, 199237, 14561, 61913, 600, 740, 28773, 2180, 15512, 236764, 10678, 8722, 11764, 532, 18661, 27980, 528, 17448, 1813, 6429, 4463, 236761, 138, 108, 236778, 236761, 5213, 11349, 524, 92988, 1018, 138, 107, 139, 236829, 16716, 149681, 60329, 27980, 8254, 684, 216090, 3075, 14228, 10842, 607, 16590, 21792, 25843, 236764, 837, 1149, 20651, 768, 711, 9668, 26800, 653, 93810, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 65977, 653, 4767, 4889, 236888, 106, 107, 105, 2364, 107, 20418, 236764, 506, 22414, 1601, 236761, 4224, 564, 1461, 531, 1386, 2889, 506, 28700, 13315, 17752, 15195, 528, 5422, 236761, 3199, 611, 2426, 506, 40095, 528, 808, 236789, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 13471, 13682, 529, 46302, 528, 17448, 35490, 7085, 236829, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87367, 236779, 1005, 1083, 623, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 17534, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 10498, 623, 21850, 1083, 78493, 1899, 236779, 2084, 1083, 623, 80506, 236224, 827, 623, 17368, 1083, 623, 151273, 13682, 529, 46302, 827, 623, 87367, 1083, 623, 13534, 2003, 13471, 506, 4652, 529, 46302, 827, 623, 146879, 1083, 623, 50189, 756, 13534, 2003, 236789, 573, 54724, 47337, 5603, 532, 32107, 756, 4499, 2357, 236789, 531, 20147, 756, 37716, 236789, 573, 4077, 220502, 607, 756, 151273, 145352, 1263, 3714, 1899, 236779, 2084, 1083, 623, 91642, 3316, 827, 623, 17368, 1083, 623, 151273, 13682, 529, 46302, 827, 623, 87367, 1083, 623, 13534, 2003, 13471, 506, 4652, 529, 46302, 827, 623, 146879, 1083, 623, 121098, 13315, 2727, 684, 8009, 73589, 155994, 756, 13534, 2003, 236789, 531, 37837, 506, 17847, 4191, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 40095, 236772, 22011, 3567, 529, 822, 13315, 236787, 138, 107, 1018, 236775, 818, 14887, 14561, 14228, 1458, 7087, 18661, 81481, 13792, 236764, 17534, 13471, 506, 4652, 529, 46302, 528, 17448, 35490, 1781, 1018, 138, 108, 10354, 9533, 119361, 236787, 138, 107, 236770, 236761, 5213, 80506, 236224, 89282, 66515, 138, 107, 139, 236772, 18909, 236787, 165996, 151273, 13682, 529, 46302, 147698, 138, 107, 139, 236772, 58940, 524, 236787, 165996, 13534, 2003, 13471, 506, 4652, 529, 46302, 147698, 138, 107, 139, 236772, 5213, 44008, 66515, 44629, 165996, 13534, 2003, 147698, 531, 37386, 506, 47337, 4191, 568, 236744, 236761, 236759, 1126, 623, 527, 496, 1354, 1373, 532, 6692, 165996, 4499, 2357, 147698, 531, 165996, 37716, 147698, 573, 4077, 14120, 568, 977, 11082, 1879, 623, 37716, 529, 46302, 2098, 711, 623, 4499, 2357, 4248, 138, 108, 236778, 236761, 5213, 91642, 3316, 54550, 66515, 138, 107, 139, 236772, 44629, 165996, 13534, 2003, 147698, 531, 14051, 2727, 532, 37837, 506, 17847, 529, 506, 2970, 568, 236760, 31017, 13792, 16130, 7005, 46302, 769, 138, 108, 818, 26885, 13315, 32618, 29972, 532, 18510, 1651, 63134, 919, 3756, 528, 8330, 5422, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 3342, 119646, 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, 8935, 9735, 7946, 531, 842, 236761, 79878, 532, 1461, 531, 2354, 1041, 22824, 529, 910, 32529, 236772, 5863, 1610, 54828, 532, 17110, 7088, 580, 10365, 236761, 28344, 611, 8729, 4403, 1755, 7798, 118252, 573, 1041, 12714, 600, 22064, 1041, 10521, 528, 1610, 4083, 236764, 8935, 4301, 236764, 532, 14105, 9226, 19549, 236881, 6890, 623, 894, 236761, 79878, 9735, 1610, 833, 4083, 236775, 618, 506, 30136, 531, 3328, 1800, 2263, 32468, 532, 1041, 3577, 23947, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 894, 30902, 688, 9175, 827, 13659, 52115, 79262, 20143, 827, 13659, 98871, 44410, 6720, 827, 13659, 9175, 16146, 236847, 748, 507, 827, 13659, 60891, 202880, 827, 13659, 191590, 236824, 6981, 61244, 827, 13659, 111534, 76503, 827, 13659, 131318, 894, 30902, 688, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 67722, 1694, 529, 118252, 531, 64460, 822, 842, 236761, 79878, 9735, 19063, 580, 10365, 236764, 66051, 1610, 4083, 236764, 8935, 4301, 236764, 532, 14105, 9226, 19549, 236787, 108, 1018, 8534, 150170, 53121, 138, 107, 236772, 997, 894, 30902, 688, 9175, 138, 107, 236772, 997, 52115, 79262, 20143, 138, 107, 236772, 997, 98871, 44410, 6720, 138, 107, 236772, 997, 9175, 16146, 236847, 748, 507, 138, 107, 236772, 997, 60891, 202880, 138, 107, 236772, 997, 191590, 236824, 6981, 61244, 138, 107, 236772, 997, 111534, 76503, 138, 107, 236772, 997, 131318, 894, 30902, 688, 138, 108, 1018, 1489, 42272, 53121, 29785, 532, 4241, 1239, 2721, 580, 822, 3004, 237028, 16754, 997, 52115, 79262, 20143, 607, 997, 9175, 16146, 236847, 748, 507, 573, 15707, 12714, 236764, 653, 997, 98871, 44410, 6720, 607, 997, 191590, 236824, 6981, 61244, 573, 4301, 13144, 236761, 5185, 236858, 236745, 10849, 531, 7853, 3530, 11024, 1133, 506, 808, 12098, 1250, 11109, 236829, 653, 808, 32708, 152792, 236829, 531, 12277, 2263, 27820, 236888, 236743, 245838, 239794, 106, 107, 105, 2364, 107, 818, 118252, 611, 3847, 659, 4011, 573, 1041, 842, 236761, 79878, 1610, 532, 4083, 3213, 236888, 4224, 600, 564, 236858, 236757, 6995, 1041, 76717, 236764, 564, 236858, 236753, 2765, 531, 6352, 528, 2264, 11306, 236787, 1041, 10631, 573, 14105, 27249, 607, 14809, 236772, 52728, 76589, 236761, 28344, 611, 8729, 496, 1855, 1076, 529, 118252, 1699, 506, 30136, 999, 894, 236761, 79878, 1610, 833, 14105, 236772, 46028, 19549, 236919, 531, 22064, 1041, 15707, 20503, 607, 2263, 2780, 16746, 600, 4241, 1041, 50353, 3117, 236881, 564, 236858, 236753, 2765, 531, 8357, 6666, 1298, 564, 740, 10807, 1800, 1610, 532, 19292, 600, 7495, 672, 19549, 236764, 1133, 496, 15707, 33443, 12284, 57518, 236772, 52728, 40778, 532, 202400, 653, 496, 17110, 11115, 2978, 607, 214444, 236772, 167367, 61222, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 894, 30902, 688, 9175, 120453, 827, 13659, 60891, 46028, 236780, 109846, 827, 13659, 9175, 3133, 235899, 9322, 1258, 827, 13659, 131318, 97396, 16249, 236746, 827, 13659, 120453, 61549, 236788, 2139, 827, 13659, 894, 30902, 688, 111534, 236799, 3705, 827, 13659, 46028, 124431, 60891, 827, 13659, 235899, 102837, 13815, 9322, 1258, 827, 13659, 16249, 236746, 169474, 24142, 16146, 827, 13659, 9175, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 120453, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 28239, 1076, 529, 118252, 531, 72146, 822, 1610, 532, 14105, 236772, 46028, 19549, 9338, 1131, 10365, 15236, 236888, 3143, 22064, 15707, 20503, 607, 50353, 36229, 236764, 4011, 573, 12714, 1003, 57518, 236772, 1568, 1258, 3995, 9082, 653, 214444, 236772, 167367, 4083, 54850, 236787, 108, 1018, 9175, 833, 10353, 47374, 171678, 53121, 138, 107, 236772, 997, 894, 30902, 688, 9175, 120453, 138, 107, 236772, 997, 9175, 3133, 235899, 9322, 1258, 138, 107, 236772, 997, 120453, 61549, 236788, 2139, 138, 107, 236772, 997, 9175, 160319, 236859, 120453, 138, 107, 236772, 997, 16249, 236746, 169474, 24142, 16146, 138, 108, 1018, 193804, 3734, 236772, 111534, 2376, 2068, 53121, 138, 107, 236772, 997, 60891, 46028, 236780, 109846, 138, 107, 236772, 997, 46028, 124431, 60891, 138, 107, 236772, 997, 894, 30902, 688, 111534, 236799, 3705, 138, 107, 236772, 997, 235899, 102837, 13815, 9322, 1258, 138, 107, 236772, 997, 131318, 97396, 16249, 236746, 138, 108, 1018, 1489, 42272, 53121, 58108, 997, 9175, 3133, 235899, 9322, 1258, 607, 79319, 529, 822, 7319, 657, 16746, 1133, 808, 818, 8964, 41489, 109802, 4244, 236829, 568, 5997, 2926, 531, 735, 195417, 202400, 61069, 653, 1161, 997, 131318, 97396, 16249, 236746, 657, 506, 808, 894, 236761, 79878, 105610, 62367, 236829, 573, 214444, 83680, 37374, 236761, 19653, 11024, 1133, 506, 808, 1980, 72322, 34945, 236829, 653, 808, 160319, 236859, 69156, 23176, 236829, 531, 7440, 30992, 1015, 2765, 1800, 1610, 532, 16627, 34894, 236888, 236743, 249629, 245838, 106, 107, 105, 2364, 107, 818, 50353, 19549, 118252, 611, 43374, 659, 21042, 237028, 236865, 9175, 3133, 235899, 9322, 1258, 3016, 2506, 496, 2263, 8325, 531, 22529, 786, 1003, 496, 11497, 15707, 14942, 236888, 4224, 564, 236858, 236753, 1133, 531, 59638, 1041, 3004, 3342, 531, 7495, 2264, 6352, 529, 1041, 9834, 236787, 1041, 6334, 618, 496, 19762, 91013, 617, 236761, 28344, 611, 8729, 496, 4168, 1076, 529, 118252, 1699, 506, 30136, 999, 9316, 2404, 20239, 1610, 833, 19549, 27249, 236919, 531, 123888, 14806, 1041, 5707, 14739, 1131, 1041, 4301, 532, 2780, 12714, 236881, 564, 236858, 236753, 2765, 531, 4024, 11221, 1133, 999, 7843, 531, 4059, 16627, 34894, 2180, 41033, 14631, 236919, 653, 999, 104496, 2404, 100057, 573, 74974, 185433, 236919, 1651, 16977, 1041, 23947, 236761, 14691, 1868, 6549, 236787, 496, 6648, 6267, 529, 1041, 19762, 6436, 2148, 531, 496, 28239, 214444, 31096, 236764, 653, 496, 3925, 1003, 153357, 607, 31255, 1813, 1308, 44018, 32052, 1709, 236761, 3792, 236858, 236751, 1386, 19762, 2065, 2597, 36573, 532, 15283, 236888, 103453, 251000, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 149625, 19924, 9175, 4550, 827, 13659, 120453, 6720, 737, 913, 3133, 10005, 2538, 827, 13659, 155901, 27899, 31469, 5191, 1713, 236780, 109846, 827, 13659, 211355, 61320, 522, 60237, 827, 13659, 221532, 19924, 96511, 190778, 589, 827, 13659, 144372, 617, 75938, 198088, 827, 13659, 9175, 3316, 155901, 31458, 827, 13659, 894, 662, 15370, 71087, 933, 25242, 827, 13659, 33139, 117666, 98829, 827, 13659, 193804, 3734, 236814, 13091, 1843, 617, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 19762, 236772, 232965, 236772, 10823, 9836, 68324, 37539, 531, 1386, 16348, 2404, 912, 529, 506, 4301, 22323, 1651, 10264, 625, 40491, 532, 21964, 236888, 3143, 16616, 22064, 822, 91013, 617, 14739, 607, 1610, 236764, 2780, 236764, 532, 19063, 236787, 138, 108, 1018, 56753, 236772, 33076, 47374, 53121, 138, 107, 236772, 997, 149625, 19924, 9175, 4550, 138, 107, 236772, 997, 155901, 27899, 31469, 5191, 1713, 236780, 109846, 138, 107, 236772, 997, 193804, 3734, 236814, 13091, 1843, 617, 138, 107, 236772, 997, 9175, 3316, 155901, 31458, 138, 108, 1018, 214849, 833, 10668, 33879, 53121, 138, 107, 236772, 997, 120453, 6720, 737, 913, 3133, 10005, 2538, 138, 107, 236772, 997, 211355, 61320, 522, 60237, 138, 107, 236772, 997, 894, 662, 15370, 71087, 933, 25242, 138, 107, 236772, 997, 33139, 117666, 98829, 138, 108, 1018, 142145, 236772, 54659, 53121, 138, 107, 236772, 997, 221532, 19924, 96511, 190778, 589, 138, 107, 236772, 997, 144372, 617, 75938, 198088, 138, 108, 1018, 1489, 42272, 53121, 6890, 997, 211355, 61320, 522, 60237, 528, 8511, 6807, 822, 1868, 236772, 236759, 54776, 31255, 1813, 71347, 236764, 653, 6727, 997, 9175, 3316, 155901, 31458, 607, 600, 6648, 6267, 529, 6436, 900, 214444, 31096, 236761, 1701, 29110, 18214, 236764, 1138, 997, 144372, 617, 75938, 198088, 531, 100264, 1056, 83431, 2263, 16746, 1133, 808, 818, 10509, 23369, 236829, 568, 42974, 214444, 179672, 563, 140455, 236772, 36831, 42035, 46745, 236787, 3143, 118252, 133111, 2939, 611, 618, 496, 120904, 7710, 237028, 36345, 529, 1091, 618, 822, 999, 113954, 236772, 18865, 4301, 26309, 155551, 103453, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 8935, 9735, 7946, 531, 842, 236761, 79878, 532, 1461, 531, 2354, 1041, 22824, 529, 910, 32529, 236772, 5863, 1610, 54828, 532, 17110, 7088, 580, 10365, 236761, 28344, 611, 8729, 4403, 1755, 7798, 118252, 573, 1041, 12714, 600, 22064, 1041, 10521, 528, 1610, 4083, 236764, 8935, 4301, 236764, 532, 14105, 9226, 19549, 236881, 6890, 623, 894, 236761, 79878, 9735, 1610, 833, 4083, 236775, 618, 506, 30136, 531, 3328, 1800, 2263, 32468, 532, 1041, 3577, 23947, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 894, 30902, 688, 9175, 827, 13659, 52115, 79262, 20143, 827, 13659, 98871, 44410, 6720, 827, 13659, 9175, 16146, 236847, 748, 507, 827, 13659, 60891, 202880, 827, 13659, 191590, 236824, 6981, 61244, 827, 13659, 111534, 76503, 827, 13659, 131318, 894, 30902, 688, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 67722, 1694, 529, 118252, 531, 64460, 822, 842, 236761, 79878, 9735, 19063, 580, 10365, 236764, 66051, 1610, 4083, 236764, 8935, 4301, 236764, 532, 14105, 9226, 19549, 236787, 108, 1018, 8534, 150170, 53121, 138, 107, 236772, 997, 894, 30902, 688, 9175, 138, 107, 236772, 997, 52115, 79262, 20143, 138, 107, 236772, 997, 98871, 44410, 6720, 138, 107, 236772, 997, 9175, 16146, 236847, 748, 507, 138, 107, 236772, 997, 60891, 202880, 138, 107, 236772, 997, 191590, 236824, 6981, 61244, 138, 107, 236772, 997, 111534, 76503, 138, 107, 236772, 997, 131318, 894, 30902, 688, 138, 108, 1018, 1489, 42272, 53121, 29785, 532, 4241, 1239, 2721, 580, 822, 3004, 237028, 16754, 997, 52115, 79262, 20143, 607, 997, 9175, 16146, 236847, 748, 507, 573, 15707, 12714, 236764, 653, 997, 98871, 44410, 6720, 607, 997, 191590, 236824, 6981, 61244, 573, 4301, 13144, 236761, 5185, 236858, 236745, 10849, 531, 7853, 3530, 11024, 1133, 506, 808, 12098, 1250, 11109, 236829, 653, 808, 32708, 152792, 236829, 531, 12277, 2263, 27820, 236888, 236743, 245838, 239794, 106, 107, 105, 2364, 107, 818, 118252, 611, 3847, 659, 4011, 573, 1041, 842, 236761, 79878, 1610, 532, 4083, 3213, 236888, 4224, 600, 564, 236858, 236757, 6995, 1041, 76717, 236764, 564, 236858, 236753, 2765, 531, 6352, 528, 2264, 11306, 236787, 1041, 10631, 573, 14105, 27249, 607, 14809, 236772, 52728, 76589, 236761, 28344, 611, 8729, 496, 1855, 1076, 529, 118252, 1699, 506, 30136, 999, 894, 236761, 79878, 1610, 833, 14105, 236772, 46028, 19549, 236919, 531, 22064, 1041, 15707, 20503, 607, 2263, 2780, 16746, 600, 4241, 1041, 50353, 3117, 236881, 564, 236858, 236753, 2765, 531, 8357, 6666, 1298, 564, 740, 10807, 1800, 1610, 532, 19292, 600, 7495, 672, 19549, 236764, 1133, 496, 15707, 33443, 12284, 57518, 236772, 52728, 40778, 532, 202400, 653, 496, 17110, 11115, 2978, 607, 214444, 236772, 167367, 61222, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 894, 30902, 688, 9175, 120453, 827, 13659, 60891, 46028, 236780, 109846, 827, 13659, 9175, 3133, 235899, 9322, 1258, 827, 13659, 131318, 97396, 16249, 236746, 827, 13659, 120453, 61549, 236788, 2139, 827, 13659, 894, 30902, 688, 111534, 236799, 3705, 827, 13659, 46028, 124431, 60891, 827, 13659, 235899, 102837, 13815, 9322, 1258, 827, 13659, 16249, 236746, 169474, 24142, 16146, 827, 13659, 9175, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 120453, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 28239, 1076, 529, 118252, 531, 72146, 822, 1610, 532, 14105, 236772, 46028, 19549, 9338, 1131, 10365, 15236, 236888, 3143, 22064, 15707, 20503, 607, 50353, 36229, 236764, 4011, 573, 12714, 1003, 57518, 236772, 1568, 1258, 3995, 9082, 653, 214444, 236772, 167367, 4083, 54850, 236787, 108, 1018, 9175, 833, 10353, 47374, 171678, 53121, 138, 107, 236772, 997, 894, 30902, 688, 9175, 120453, 138, 107, 236772, 997, 9175, 3133, 235899, 9322, 1258, 138, 107, 236772, 997, 120453, 61549, 236788, 2139, 138, 107, 236772, 997, 9175, 160319, 236859, 120453, 138, 107, 236772, 997, 16249, 236746, 169474, 24142, 16146, 138, 108, 1018, 193804, 3734, 236772, 111534, 2376, 2068, 53121, 138, 107, 236772, 997, 60891, 46028, 236780, 109846, 138, 107, 236772, 997, 46028, 124431, 60891, 138, 107, 236772, 997, 894, 30902, 688, 111534, 236799, 3705, 138, 107, 236772, 997, 235899, 102837, 13815, 9322, 1258, 138, 107, 236772, 997, 131318, 97396, 16249, 236746, 138, 108, 1018, 1489, 42272, 53121, 58108, 997, 9175, 3133, 235899, 9322, 1258, 607, 79319, 529, 822, 7319, 657, 16746, 1133, 808, 818, 8964, 41489, 109802, 4244, 236829, 568, 5997, 2926, 531, 735, 195417, 202400, 61069, 653, 1161, 997, 131318, 97396, 16249, 236746, 657, 506, 808, 894, 236761, 79878, 105610, 62367, 236829, 573, 214444, 83680, 37374, 236761, 19653, 11024, 1133, 506, 808, 1980, 72322, 34945, 236829, 653, 808, 160319, 236859, 69156, 23176, 236829, 531, 7440, 30992, 1015, 2765, 1800, 1610, 532, 16627, 34894, 236888, 236743, 249629, 245838, 106, 107, 105, 2364, 107, 818, 50353, 19549, 118252, 611, 43374, 659, 21042, 237028, 236865, 9175, 3133, 235899, 9322, 1258, 3016, 2506, 496, 2263, 8325, 531, 22529, 786, 1003, 496, 11497, 15707, 14942, 236888, 4224, 564, 236858, 236753, 1133, 531, 59638, 1041, 3004, 3342, 531, 7495, 2264, 6352, 529, 1041, 9834, 236787, 1041, 6334, 618, 496, 19762, 91013, 617, 236761, 28344, 611, 8729, 496, 4168, 1076, 529, 118252, 1699, 506, 30136, 999, 9316, 2404, 20239, 1610, 833, 19549, 27249, 236919, 531, 123888, 14806, 1041, 5707, 14739, 1131, 1041, 4301, 532, 2780, 12714, 236881, 564, 236858, 236753, 2765, 531, 4024, 11221, 1133, 999, 7843, 531, 4059, 16627, 34894, 2180, 41033, 14631, 236919, 653, 999, 104496, 2404, 100057, 573, 74974, 185433, 236919, 1651, 16977, 1041, 23947, 236761, 14691, 1868, 6549, 236787, 496, 6648, 6267, 529, 1041, 19762, 6436, 2148, 531, 496, 28239, 214444, 31096, 236764, 653, 496, 3925, 1003, 153357, 607, 31255, 1813, 1308, 44018, 32052, 1709, 236761, 3792, 236858, 236751, 1386, 19762, 2065, 2597, 36573, 532, 15283, 236888, 103453, 251000, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 149625, 19924, 9175, 4550, 827, 13659, 120453, 6720, 737, 913, 3133, 10005, 2538, 827, 13659, 155901, 27899, 31469, 5191, 1713, 236780, 109846, 827, 13659, 211355, 61320, 522, 60237, 827, 13659, 221532, 19924, 96511, 190778, 589, 827, 13659, 144372, 617, 75938, 198088, 827, 13659, 9175, 3316, 155901, 31458, 827, 13659, 894, 662, 15370, 71087, 933, 25242, 827, 13659, 33139, 117666, 98829, 827, 13659, 193804, 3734, 236814, 13091, 1843, 617, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 19762, 236772, 232965, 236772, 10823, 9836, 68324, 37539, 531, 1386, 16348, 2404, 912, 529, 506, 4301, 22323, 1651, 10264, 625, 40491, 532, 21964, 236888, 3143, 16616, 22064, 822, 91013, 617, 14739, 607, 1610, 236764, 2780, 236764, 532, 19063, 236787, 138, 108, 1018, 56753, 236772, 33076, 47374, 53121, 138, 107, 236772, 997, 149625, 19924, 9175, 4550, 138, 107, 236772, 997, 155901, 27899, 31469, 5191, 1713, 236780, 109846, 138, 107, 236772, 997, 193804, 3734, 236814, 13091, 1843, 617, 138, 107, 236772, 997, 9175, 3316, 155901, 31458, 138, 108, 1018, 214849, 833, 10668, 33879, 53121, 138, 107, 236772, 997, 120453, 6720, 737, 913, 3133, 10005, 2538, 138, 107, 236772, 997, 211355, 61320, 522, 60237, 138, 107, 236772, 997, 894, 662, 15370, 71087, 933, 25242, 138, 107, 236772, 997, 33139, 117666, 98829, 138, 108, 1018, 142145, 236772, 54659, 53121, 138, 107, 236772, 997, 221532, 19924, 96511, 190778, 589, 138, 107, 236772, 997, 144372, 617, 75938, 198088, 138, 108, 1018, 1489, 42272, 53121, 6890, 997, 211355, 61320, 522, 60237, 528, 8511, 6807, 822, 1868, 236772, 236759, 54776, 31255, 1813, 71347, 236764, 653, 6727, 997, 9175, 3316, 155901, 31458, 607, 600, 6648, 6267, 529, 6436, 900, 214444, 31096, 236761, 1701, 29110, 18214, 236764, 1138, 997, 144372, 617, 75938, 198088, 531, 100264, 1056, 83431, 2263, 16746, 1133, 808, 818, 10509, 23369, 236829, 568, 42974, 214444, 179672, 563, 140455, 236772, 36831, 42035, 46745, 236787, 3143, 118252, 133111, 2939, 611, 618, 496, 120904, 7710, 237028, 36345, 529, 1091, 618, 822, 999, 113954, 236772, 18865, 4301, 26309, 155551, 103453, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 11048, 573, 3184, 3607, 528, 10630, 236764, 532, 564, 236789, 236753, 1133, 531, 1161, 1816, 236772, 1071, 236772, 67692, 27892, 600, 7495, 12801, 25168, 236761, 5315, 236764, 564, 1461, 611, 531, 1694, 784, 2487, 27892, 607, 910, 13963, 236761, 4298, 236764, 5957, 1091, 684, 13435, 568, 38667, 532, 8937, 779, 8008, 15579, 568, 27832, 532, 14361, 779, 532, 67824, 600, 4241, 9576, 1298, 8202, 10630, 5699, 659, 19942, 236764, 1133, 506, 15891, 3640, 4184, 236764, 14600, 236764, 532, 4844, 7959, 236761, 1637, 993, 10050, 236789, 236745, 3487, 27892, 5395, 1239, 13138, 236764, 6253, 506, 67824, 531, 3204, 3361, 5906, 236761, 13472, 236764, 25774, 496, 1694, 529, 506, 1791, 3835, 573, 1546, 4128, 236764, 17096, 496, 6921, 529, 137716, 532, 15579, 236761, 3792, 786, 1281, 768, 611, 1202, 65977, 580, 1027, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112607, 1083, 78493, 1201, 1083, 623, 161404, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 501, 236772, 3118, 827, 623, 507, 236772, 1740, 14255, 623, 64066, 1083, 623, 60891, 3668, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 45437, 236775, 5237, 3714, 1201, 1083, 623, 96630, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 507, 236772, 1740, 827, 623, 501, 236772, 3118, 14255, 623, 64066, 1083, 623, 204979, 41082, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 16599, 236772, 4130, 827, 623, 3061, 1083, 623, 191109, 1280, 236775, 5237, 3714, 1201, 1083, 623, 236953, 135304, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 501, 236772, 8242, 827, 623, 2118, 12478, 14255, 623, 64066, 1083, 623, 20163, 9992, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 119312, 236775, 5237, 3714, 1201, 1083, 623, 38830, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 501, 236772, 3118, 14255, 623, 64066, 1083, 623, 69033, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 96042, 827, 623, 3061, 1083, 623, 6386, 13044, 236775, 5237, 3714, 1201, 1083, 623, 36546, 5287, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 507, 236772, 20074, 827, 623, 693, 236772, 12357, 14255, 623, 64066, 1083, 623, 190457, 14361, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 190597, 1353, 236775, 5237, 3714, 1201, 1083, 623, 236776, 53417, 18219, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 501, 236772, 8242, 827, 623, 12433, 14301, 14255, 623, 64066, 1083, 623, 230744, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 16599, 236772, 4130, 827, 623, 3061, 1083, 623, 968, 7355, 236775, 5237, 3714, 1201, 1083, 623, 94537, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 501, 236772, 3118, 14255, 623, 64066, 1083, 623, 14947, 3668, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 1121, 17127, 236775, 5237, 3714, 1201, 1083, 623, 98202, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 501, 236772, 8242, 14255, 623, 64066, 1083, 623, 53485, 65802, 73172, 50665, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 16599, 236772, 4130, 827, 623, 3061, 1083, 623, 85590, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 24271, 1694, 529, 27892, 2721, 580, 822, 13138, 236764, 13957, 684, 4128, 607, 496, 6921, 529, 137716, 532, 15579, 236787, 108, 1018, 60891, 3640, 4184, 1018, 138, 107, 236770, 236761, 5213, 161404, 1018, 568, 38667, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 3118, 779, 14361, 568, 507, 236772, 1740, 236768, 138, 107, 139, 236772, 201235, 236787, 14105, 3668, 138, 107, 139, 236772, 68539, 236787, 11853, 6779, 236764, 5707, 138, 108, 236778, 236761, 5213, 38830, 1018, 568, 40404, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 3118, 236768, 138, 107, 139, 236772, 201235, 236787, 9539, 138, 107, 139, 236772, 68539, 236787, 19563, 236764, 79500, 138, 108, 1018, 71494, 1018, 138, 107, 236770, 236761, 5213, 96630, 1018, 568, 40404, 236768, 138, 107, 139, 236772, 61494, 236787, 14361, 568, 507, 236772, 1740, 779, 5422, 568, 501, 236772, 3118, 236768, 138, 107, 139, 236772, 201235, 236787, 36828, 41082, 138, 107, 139, 236772, 68539, 236787, 12266, 236772, 4130, 236764, 22323, 138, 108, 236778, 236761, 5213, 36546, 5287, 1018, 568, 38667, 236768, 46260, 79442, 23690, 236787, 29119, 14361, 16130, 36828, 12016, 138, 107, 139, 236772, 61494, 236787, 14361, 568, 507, 236772, 20074, 779, 41082, 568, 693, 236772, 12357, 236768, 138, 107, 139, 236772, 201235, 236787, 29119, 14361, 138, 107, 139, 236772, 68539, 236787, 11853, 6779, 236764, 117516, 138, 108, 1018, 20163, 7959, 1018, 138, 107, 236770, 236761, 5213, 236953, 135304, 1018, 568, 38667, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 8242, 779, 31045, 236746, 138, 107, 139, 236772, 201235, 236787, 4844, 9992, 138, 107, 139, 236772, 68539, 236787, 11853, 6779, 236764, 12524, 138, 108, 236778, 236761, 5213, 236776, 53417, 18219, 1018, 568, 40404, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 8242, 779, 135055, 138, 107, 139, 236772, 201235, 236787, 33597, 138, 107, 139, 236772, 68539, 236787, 12266, 236772, 4130, 236764, 73811, 138, 108, 10354, 24118, 236787, 138, 107, 236772, 5213, 100535, 66515, 2343, 27892, 1894, 657, 3198, 886, 3328, 5192, 568, 27832, 236786, 80353, 779, 607, 1070, 992, 2440, 4128, 236772, 15396, 15579, 568, 126837, 236746, 236764, 135055, 236764, 41082, 769, 138, 107, 236772, 5213, 5475, 876, 66515, 35593, 1230, 964, 1603, 573, 14600, 568, 190457, 16130, 36828, 236768, 531, 5330, 13435, 15459, 236761, 138, 107, 236772, 5213, 41022, 29785, 66515, 7714, 4128, 5132, 657, 3198, 886, 8256, 532, 886, 8937, 8300, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 170935, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 496, 11048, 573, 3184, 3607, 528, 10630, 236764, 532, 564, 236789, 236753, 1133, 531, 1161, 1816, 236772, 1071, 236772, 67692, 27892, 600, 7495, 12801, 25168, 236761, 5315, 236764, 564, 1461, 611, 531, 1694, 784, 2487, 27892, 607, 910, 13963, 236761, 4298, 236764, 5957, 1091, 684, 13435, 568, 38667, 532, 8937, 779, 8008, 15579, 568, 27832, 532, 14361, 779, 532, 67824, 600, 4241, 9576, 1298, 8202, 10630, 5699, 659, 19942, 236764, 1133, 506, 15891, 3640, 4184, 236764, 14600, 236764, 532, 4844, 7959, 236761, 1637, 993, 10050, 236789, 236745, 3487, 27892, 5395, 1239, 13138, 236764, 6253, 506, 67824, 531, 3204, 3361, 5906, 236761, 13472, 236764, 25774, 496, 1694, 529, 506, 1791, 3835, 573, 1546, 4128, 236764, 17096, 496, 6921, 529, 137716, 532, 15579, 236761, 3792, 786, 1281, 768, 611, 1202, 65977, 580, 1027, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112607, 1083, 78493, 1201, 1083, 623, 161404, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 501, 236772, 3118, 827, 623, 507, 236772, 1740, 14255, 623, 64066, 1083, 623, 60891, 3668, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 45437, 236775, 5237, 3714, 1201, 1083, 623, 96630, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 507, 236772, 1740, 827, 623, 501, 236772, 3118, 14255, 623, 64066, 1083, 623, 204979, 41082, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 16599, 236772, 4130, 827, 623, 3061, 1083, 623, 191109, 1280, 236775, 5237, 3714, 1201, 1083, 623, 236953, 135304, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 501, 236772, 8242, 827, 623, 2118, 12478, 14255, 623, 64066, 1083, 623, 20163, 9992, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 119312, 236775, 5237, 3714, 1201, 1083, 623, 38830, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 501, 236772, 3118, 14255, 623, 64066, 1083, 623, 69033, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 96042, 827, 623, 3061, 1083, 623, 6386, 13044, 236775, 5237, 3714, 1201, 1083, 623, 36546, 5287, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 507, 236772, 20074, 827, 623, 693, 236772, 12357, 14255, 623, 64066, 1083, 623, 190457, 14361, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 190597, 1353, 236775, 5237, 3714, 1201, 1083, 623, 236776, 53417, 18219, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 501, 236772, 8242, 827, 623, 12433, 14301, 14255, 623, 64066, 1083, 623, 230744, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 16599, 236772, 4130, 827, 623, 3061, 1083, 623, 968, 7355, 236775, 5237, 3714, 1201, 1083, 623, 94537, 827, 623, 24385, 1083, 623, 38667, 827, 623, 70496, 1083, 11058, 501, 236772, 3118, 14255, 623, 64066, 1083, 623, 14947, 3668, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 21128, 6779, 827, 623, 3061, 1083, 623, 1121, 17127, 236775, 5237, 3714, 1201, 1083, 623, 98202, 827, 623, 24385, 1083, 623, 40404, 827, 623, 70496, 1083, 11058, 501, 236772, 8242, 14255, 623, 64066, 1083, 623, 53485, 65802, 73172, 50665, 827, 623, 30374, 1083, 3714, 676, 1083, 623, 16599, 236772, 4130, 827, 623, 3061, 1083, 623, 85590, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 24271, 1694, 529, 27892, 2721, 580, 822, 13138, 236764, 13957, 684, 4128, 607, 496, 6921, 529, 137716, 532, 15579, 236787, 108, 1018, 60891, 3640, 4184, 1018, 138, 107, 236770, 236761, 5213, 161404, 1018, 568, 38667, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 3118, 779, 14361, 568, 507, 236772, 1740, 236768, 138, 107, 139, 236772, 201235, 236787, 14105, 3668, 138, 107, 139, 236772, 68539, 236787, 11853, 6779, 236764, 5707, 138, 108, 236778, 236761, 5213, 38830, 1018, 568, 40404, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 3118, 236768, 138, 107, 139, 236772, 201235, 236787, 9539, 138, 107, 139, 236772, 68539, 236787, 19563, 236764, 79500, 138, 108, 1018, 71494, 1018, 138, 107, 236770, 236761, 5213, 96630, 1018, 568, 40404, 236768, 138, 107, 139, 236772, 61494, 236787, 14361, 568, 507, 236772, 1740, 779, 5422, 568, 501, 236772, 3118, 236768, 138, 107, 139, 236772, 201235, 236787, 36828, 41082, 138, 107, 139, 236772, 68539, 236787, 12266, 236772, 4130, 236764, 22323, 138, 108, 236778, 236761, 5213, 36546, 5287, 1018, 568, 38667, 236768, 46260, 79442, 23690, 236787, 29119, 14361, 16130, 36828, 12016, 138, 107, 139, 236772, 61494, 236787, 14361, 568, 507, 236772, 20074, 779, 41082, 568, 693, 236772, 12357, 236768, 138, 107, 139, 236772, 201235, 236787, 29119, 14361, 138, 107, 139, 236772, 68539, 236787, 11853, 6779, 236764, 117516, 138, 108, 1018, 20163, 7959, 1018, 138, 107, 236770, 236761, 5213, 236953, 135304, 1018, 568, 38667, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 8242, 779, 31045, 236746, 138, 107, 139, 236772, 201235, 236787, 4844, 9992, 138, 107, 139, 236772, 68539, 236787, 11853, 6779, 236764, 12524, 138, 108, 236778, 236761, 5213, 236776, 53417, 18219, 1018, 568, 40404, 236768, 138, 107, 139, 236772, 61494, 236787, 5422, 568, 501, 236772, 8242, 779, 135055, 138, 107, 139, 236772, 201235, 236787, 33597, 138, 107, 139, 236772, 68539, 236787, 12266, 236772, 4130, 236764, 73811, 138, 108, 10354, 24118, 236787, 138, 107, 236772, 5213, 100535, 66515, 2343, 27892, 1894, 657, 3198, 886, 3328, 5192, 568, 27832, 236786, 80353, 779, 607, 1070, 992, 2440, 4128, 236772, 15396, 15579, 568, 126837, 236746, 236764, 135055, 236764, 41082, 769, 138, 107, 236772, 5213, 5475, 876, 66515, 35593, 1230, 964, 1603, 573, 14600, 568, 190457, 16130, 36828, 236768, 531, 5330, 13435, 15459, 236761, 138, 107, 236772, 5213, 41022, 29785, 66515, 7714, 4128, 5132, 657, 3198, 886, 8256, 532, 886, 8937, 8300, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 170935, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1281, 506, 1548, 529, 11630, 573, 13721, 236761, 106, 107, 105, 4368, 107, 2021, 6054, 506, 7081, 1548, 529, 5395, 11630, 3149, 236764, 564, 1202, 506, 1694, 529, 5395, 20312, 236761, 28344, 611, 5091, 2847, 506, 5395, 2782, 528, 506, 6518, 2165, 28002, 3041, 236779, 2289, 236764, 1345, 236779, 2289, 1604, 3729, 155192, 236881, 236743, 108, 2542, 2591, 236787, 2165, 28002, 236770, 236764, 236743, 236800, 1604, 870, 236778, 236764, 236743, 236812, 1604, 870, 236810, 236764, 236743, 236825, 10660, 236929, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1281, 506, 1548, 529, 11630, 573, 13721, 236761, 106, 107, 105, 4368, 107, 2021, 6054, 506, 7081, 1548, 529, 5395, 11630, 3149, 236764, 564, 1202, 506, 1694, 529, 5395, 20312, 236761, 28344, 611, 5091, 2847, 506, 5395, 2782, 528, 506, 6518, 2165, 28002, 3041, 236779, 2289, 236764, 1345, 236779, 2289, 1604, 3729, 155192, 236881, 236743, 108, 2542, 2591, 236787, 2165, 28002, 236770, 236764, 236743, 236800, 1604, 870, 236778, 236764, 236743, 236812, 1604, 870, 236810, 236764, 236743, 236825, 10660, 236929, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 13558, 1262, 2101, 22403, 5785, 17526, 568, 37673, 236743, 236778, 236810, 236761, 236832, 236819, 236800, 236812, 769, 106, 107, 105, 4368, 107, 2021, 33205, 13558, 1262, 2101, 22403, 5785, 17526, 236764, 564, 1202, 1800, 40899, 532, 50550, 618, 25630, 236761, 669, 3847, 40899, 568, 236778, 236810, 236761, 236832, 236819, 236800, 236812, 236768, 563, 496, 20632, 236764, 840, 506, 5904, 7087, 614, 11995, 236761, 28344, 611, 9128, 506, 40899, 618, 614, 11995, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236810, 653, 236743, 236778, 236825, 236768, 532, 2847, 506, 50550, 528, 506, 1638, 6518, 236881, 1701, 5577, 236764, 22403, 5785, 17526, 236789, 236751, 23494, 50550, 563, 753, 236828, 236771, 236761, 236778, 236819, 236771, 236825, 568, 10958, 769, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163501, 13558, 1262, 2101, 22403, 5785, 17526, 568, 37673, 236743, 236778, 236810, 236761, 236832, 236819, 236800, 236812, 769, 106, 107, 105, 4368, 107, 2021, 33205, 13558, 1262, 2101, 22403, 5785, 17526, 236764, 564, 1202, 1800, 40899, 532, 50550, 618, 25630, 236761, 669, 3847, 40899, 568, 236778, 236810, 236761, 236832, 236819, 236800, 236812, 236768, 563, 496, 20632, 236764, 840, 506, 5904, 7087, 614, 11995, 236761, 28344, 611, 9128, 506, 40899, 618, 614, 11995, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236810, 653, 236743, 236778, 236825, 236768, 532, 2847, 506, 50550, 528, 506, 1638, 6518, 236881, 1701, 5577, 236764, 22403, 5785, 17526, 236789, 236751, 23494, 50550, 563, 753, 236828, 236771, 236761, 236778, 236819, 236771, 236825, 568, 10958, 769, 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, 17373, 496, 18669, 573, 1041, 2434, 600, 32407, 32183, 7545, 531, 1960, 3997, 236761, 564, 1202, 236743, 236810, 4940, 12657, 1003, 32183, 7545, 236761, 4298, 236764, 564, 1461, 531, 2619, 496, 7914, 4188, 531, 1138, 1724, 12657, 531, 506, 11048, 23353, 684, 2148, 7672, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 818, 2290, 529, 32183, 563, 506, 155848, 529, 506, 3666, 10498, 623, 6386, 1083, 623, 236310, 1117, 57884, 23179, 3714, 1005, 1083, 623, 902, 32183, 236764, 618, 528, 1972, 236764, 506, 1346, 13588, 3479, 563, 1056, 611, 735, 506, 7821, 10498, 623, 6386, 1083, 623, 40421, 630, 236785, 236756, 236771, 236771, 236744, 236819, 3916, 23179, 3714, 1005, 1083, 623, 818, 1186, 1595, 531, 3345, 563, 531, 1751, 1133, 496, 13961, 10498, 623, 6386, 1083, 623, 136619, 56219, 23179, 3714, 1005, 1083, 623, 236776, 1535, 4155, 563, 711, 886, 1015, 18779, 236764, 840, 886, 1015, 4038, 236789, 236745, 10382, 10498, 623, 6386, 1083, 623, 97446, 23179, 3714, 1005, 1083, 623, 818, 1346, 2132, 3210, 528, 32183, 563, 531, 735, 496, 2731, 10498, 623, 6386, 1083, 623, 236792, 18854, 917, 18364, 236766, 4611, 727, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25149, 236779, 547, 1083, 623, 39036, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 17138, 827, 623, 3250, 1083, 623, 3218, 32183, 7545, 12657, 531, 11048, 23353, 827, 623, 26303, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236832, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 236743, 236810, 32183, 7545, 12657, 573, 822, 18669, 236787, 108, 236770, 236761, 5213, 236775, 818, 2290, 529, 32183, 563, 506, 155848, 529, 506, 3666, 1781, 1018, 138, 107, 139, 237028, 808, 236310, 1117, 57884, 236829, 108, 236778, 236761, 5213, 236775, 902, 32183, 236764, 618, 528, 1972, 236764, 506, 1346, 13588, 3479, 563, 1056, 611, 735, 506, 7821, 1781, 1018, 138, 107, 139, 237028, 808, 40421, 630, 3619, 236747, 236829, 108, 236800, 236761, 5213, 236775, 818, 1186, 1595, 531, 3345, 563, 531, 1751, 1133, 496, 13961, 1781, 1018, 138, 107, 139, 237028, 808, 136619, 56219, 236829, 108, 236812, 236761, 5213, 236775, 236776, 1535, 4155, 563, 711, 886, 1015, 18779, 236764, 840, 886, 1015, 4038, 236789, 236745, 10382, 1781, 1018, 138, 107, 139, 237028, 808, 97446, 236829, 108, 236810, 236761, 5213, 236775, 818, 1346, 2132, 3210, 528, 32183, 563, 531, 735, 496, 2731, 1781, 1018, 138, 107, 139, 237028, 808, 236792, 18854, 917, 18364, 236766, 4611, 727, 236829, 108, 7243, 108, 240732, 5180, 7914, 4188, 815, 1010, 4464, 236787, 138, 107, 1018, 236775, 3218, 32183, 7545, 12657, 531, 11048, 23353, 236775, 1018, 138, 107, 249460, 18800, 236787, 5213, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236832, 1018, 568, 4874, 7672, 236768, 138, 107, 242083, 5853, 236787, 2165, 39036, 236772, 236832, 236828, 236819, 236771, 236929, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2779, 3433, 653, 1138, 919, 4852, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 17373, 496, 18669, 573, 1041, 2434, 600, 32407, 32183, 7545, 531, 1960, 3997, 236761, 564, 1202, 236743, 236810, 4940, 12657, 1003, 32183, 7545, 236761, 4298, 236764, 564, 1461, 531, 2619, 496, 7914, 4188, 531, 1138, 1724, 12657, 531, 506, 11048, 23353, 684, 2148, 7672, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 818, 2290, 529, 32183, 563, 506, 155848, 529, 506, 3666, 10498, 623, 6386, 1083, 623, 236310, 1117, 57884, 23179, 3714, 1005, 1083, 623, 902, 32183, 236764, 618, 528, 1972, 236764, 506, 1346, 13588, 3479, 563, 1056, 611, 735, 506, 7821, 10498, 623, 6386, 1083, 623, 40421, 630, 236785, 236756, 236771, 236771, 236744, 236819, 3916, 23179, 3714, 1005, 1083, 623, 818, 1186, 1595, 531, 3345, 563, 531, 1751, 1133, 496, 13961, 10498, 623, 6386, 1083, 623, 136619, 56219, 23179, 3714, 1005, 1083, 623, 236776, 1535, 4155, 563, 711, 886, 1015, 18779, 236764, 840, 886, 1015, 4038, 236789, 236745, 10382, 10498, 623, 6386, 1083, 623, 97446, 23179, 3714, 1005, 1083, 623, 818, 1346, 2132, 3210, 528, 32183, 563, 531, 735, 496, 2731, 10498, 623, 6386, 1083, 623, 236792, 18854, 917, 18364, 236766, 4611, 727, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25149, 236779, 547, 1083, 623, 39036, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 17138, 827, 623, 3250, 1083, 623, 3218, 32183, 7545, 12657, 531, 11048, 23353, 827, 623, 26303, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236832, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 236743, 236810, 32183, 7545, 12657, 573, 822, 18669, 236787, 108, 236770, 236761, 5213, 236775, 818, 2290, 529, 32183, 563, 506, 155848, 529, 506, 3666, 1781, 1018, 138, 107, 139, 237028, 808, 236310, 1117, 57884, 236829, 108, 236778, 236761, 5213, 236775, 902, 32183, 236764, 618, 528, 1972, 236764, 506, 1346, 13588, 3479, 563, 1056, 611, 735, 506, 7821, 1781, 1018, 138, 107, 139, 237028, 808, 40421, 630, 3619, 236747, 236829, 108, 236800, 236761, 5213, 236775, 818, 1186, 1595, 531, 3345, 563, 531, 1751, 1133, 496, 13961, 1781, 1018, 138, 107, 139, 237028, 808, 136619, 56219, 236829, 108, 236812, 236761, 5213, 236775, 236776, 1535, 4155, 563, 711, 886, 1015, 18779, 236764, 840, 886, 1015, 4038, 236789, 236745, 10382, 1781, 1018, 138, 107, 139, 237028, 808, 97446, 236829, 108, 236810, 236761, 5213, 236775, 818, 1346, 2132, 3210, 528, 32183, 563, 531, 735, 496, 2731, 1781, 1018, 138, 107, 139, 237028, 808, 236792, 18854, 917, 18364, 236766, 4611, 727, 236829, 108, 7243, 108, 240732, 5180, 7914, 4188, 815, 1010, 4464, 236787, 138, 107, 1018, 236775, 3218, 32183, 7545, 12657, 531, 11048, 23353, 236775, 1018, 138, 107, 249460, 18800, 236787, 5213, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236832, 1018, 568, 4874, 7672, 236768, 138, 107, 242083, 5853, 236787, 2165, 39036, 236772, 236832, 236828, 236819, 236771, 236929, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2779, 3433, 653, 1138, 919, 4852, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2958, 669, 6863, 71868, 573, 3435, 6334, 7760, 532, 2436, 2404, 236761, 5315, 236764, 33205, 910, 6524, 3195, 132409, 1699, 910, 2544, 31744, 236764, 1299, 18840, 506, 2862, 27078, 1699, 910, 84390, 5404, 236761, 1637, 1027, 6555, 5121, 236764, 6253, 532, 52312, 607, 506, 4338, 6137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30797, 1083, 78493, 14557, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 53568, 1083, 623, 1768, 833, 12464, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 14557, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236825, 827, 623, 3250, 1083, 623, 58142, 35211, 63087, 827, 623, 53568, 1083, 623, 71083, 827, 623, 7125, 1083, 623, 120384, 236764, 27608, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 14557, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236832, 827, 623, 3250, 1083, 623, 12424, 36853, 827, 623, 53568, 1083, 623, 109799, 827, 623, 7125, 1083, 623, 61289, 2590, 92536, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236800, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 30797, 1083, 236743, 236810, 236771, 236764, 623, 25385, 1083, 623, 818, 6863, 71868, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 14563, 827, 623, 126775, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236778, 1263, 623, 12959, 1083, 78493, 3250, 1083, 623, 9435, 71868, 185131, 19558, 1366, 236770, 90137, 532, 81909, 48139, 827, 623, 126775, 1083, 623, 30558, 23179, 3714, 3250, 1083, 623, 4199, 6863, 71868, 72143, 139945, 80265, 20467, 77021, 827, 623, 126775, 1083, 623, 30558, 23179, 3714, 3250, 1083, 623, 40219, 153415, 45064, 580, 6863, 71868, 236789, 236751, 26608, 145073, 124148, 30510, 35211, 161601, 827, 623, 126775, 1083, 623, 45258, 236775, 165075, 106, 107, 105, 4368, 107, 1018, 26917, 25252, 573, 669, 6863, 71868, 568, 14563, 1473, 1018, 108, 10354, 5213, 16882, 6531, 1013, 13768, 1018, 138, 107, 236772, 5213, 9640, 40678, 34189, 53121, 236743, 236810, 236771, 4803, 132409, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 769, 138, 107, 236772, 5213, 3503, 89644, 229414, 53121, 138, 107, 138, 236770, 236761, 5213, 51551, 15435, 31016, 1018, 568, 1768, 833, 12464, 236764, 26431, 236764, 23639, 236768, 138, 107, 138, 236778, 236761, 5213, 58142, 35211, 63087, 1018, 568, 71083, 236764, 26057, 236764, 27608, 236768, 138, 107, 138, 236800, 236761, 5213, 12424, 36853, 1018, 568, 109799, 236764, 35945, 2590, 92536, 236768, 138, 107, 236772, 5213, 120848, 53121, 23531, 26972, 528, 14896, 236764, 6675, 236764, 532, 10002, 18597, 236764, 17674, 3877, 653, 38374, 528, 1239, 4106, 236761, 138, 108, 7243, 108, 10354, 5213, 27320, 162249, 13768, 1018, 138, 107, 236772, 5213, 203481, 166977, 568, 14563, 558, 13077, 1473, 1018, 138, 107, 138, 236772, 5213, 48084, 53121, 236743, 236825, 236778, 236908, 568, 236744, 236761, 236759, 1126, 3423, 17785, 236764, 24488, 13909, 769, 138, 107, 138, 236772, 5213, 20809, 53121, 236743, 236778, 236771, 236908, 568, 236744, 236761, 236759, 1126, 9726, 34799, 19490, 580, 3877, 769, 138, 107, 138, 236772, 5213, 63702, 53121, 236743, 236770, 236828, 236908, 568, 69731, 23779, 4668, 769, 138, 107, 236772, 5213, 3503, 7074, 70731, 53121, 138, 107, 138, 236772, 1366, 236770, 17785, 532, 10534, 6614, 6953, 3188, 4867, 2404, 236761, 138, 107, 138, 236772, 72143, 19898, 14051, 5500, 17659, 236761, 138, 107, 138, 236772, 30510, 7797, 10928, 659, 8601, 840, 711, 3819, 67948, 27078, 38500, 236761, 138, 108, 7243, 108, 10354, 5213, 33062, 30076, 1018, 138, 107, 236772, 5213, 80995, 62503, 53121, 669, 6863, 71868, 563, 22074, 26972, 3418, 12801, 21235, 236764, 22169, 3435, 573, 6334, 3877, 236761, 138, 107, 236772, 5213, 40219, 5554, 53121, 27717, 4414, 27078, 568, 236825, 236778, 11376, 532, 4803, 17785, 3877, 10128, 496, 7644, 2862, 236761, 77092, 10928, 1003, 6429, 21896, 12691, 11734, 840, 776, 711, 105412, 4414, 15067, 236761, 138, 108, 1018, 9272, 50228, 53121, 46071, 3530, 3195, 29141, 653, 4668, 10308, 3342, 768, 4354, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2958, 669, 6863, 71868, 573, 3435, 6334, 7760, 532, 2436, 2404, 236761, 5315, 236764, 33205, 910, 6524, 3195, 132409, 1699, 910, 2544, 31744, 236764, 1299, 18840, 506, 2862, 27078, 1699, 910, 84390, 5404, 236761, 1637, 1027, 6555, 5121, 236764, 6253, 532, 52312, 607, 506, 4338, 6137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30797, 1083, 78493, 14557, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 53568, 1083, 623, 1768, 833, 12464, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 14557, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236825, 827, 623, 3250, 1083, 623, 58142, 35211, 63087, 827, 623, 53568, 1083, 623, 71083, 827, 623, 7125, 1083, 623, 120384, 236764, 27608, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 14557, 236779, 547, 1083, 623, 14563, 236770, 236778, 236800, 236812, 236832, 827, 623, 3250, 1083, 623, 12424, 36853, 827, 623, 53568, 1083, 623, 109799, 827, 623, 7125, 1083, 623, 61289, 2590, 92536, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236800, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 30797, 1083, 236743, 236810, 236771, 236764, 623, 25385, 1083, 623, 818, 6863, 71868, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 14563, 827, 623, 126775, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236778, 1263, 623, 12959, 1083, 78493, 3250, 1083, 623, 9435, 71868, 185131, 19558, 1366, 236770, 90137, 532, 81909, 48139, 827, 623, 126775, 1083, 623, 30558, 23179, 3714, 3250, 1083, 623, 4199, 6863, 71868, 72143, 139945, 80265, 20467, 77021, 827, 623, 126775, 1083, 623, 30558, 23179, 3714, 3250, 1083, 623, 40219, 153415, 45064, 580, 6863, 71868, 236789, 236751, 26608, 145073, 124148, 30510, 35211, 161601, 827, 623, 126775, 1083, 623, 45258, 236775, 165075, 106, 107, 105, 4368, 107, 1018, 26917, 25252, 573, 669, 6863, 71868, 568, 14563, 1473, 1018, 108, 10354, 5213, 16882, 6531, 1013, 13768, 1018, 138, 107, 236772, 5213, 9640, 40678, 34189, 53121, 236743, 236810, 236771, 4803, 132409, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 769, 138, 107, 236772, 5213, 3503, 89644, 229414, 53121, 138, 107, 138, 236770, 236761, 5213, 51551, 15435, 31016, 1018, 568, 1768, 833, 12464, 236764, 26431, 236764, 23639, 236768, 138, 107, 138, 236778, 236761, 5213, 58142, 35211, 63087, 1018, 568, 71083, 236764, 26057, 236764, 27608, 236768, 138, 107, 138, 236800, 236761, 5213, 12424, 36853, 1018, 568, 109799, 236764, 35945, 2590, 92536, 236768, 138, 107, 236772, 5213, 120848, 53121, 23531, 26972, 528, 14896, 236764, 6675, 236764, 532, 10002, 18597, 236764, 17674, 3877, 653, 38374, 528, 1239, 4106, 236761, 138, 108, 7243, 108, 10354, 5213, 27320, 162249, 13768, 1018, 138, 107, 236772, 5213, 203481, 166977, 568, 14563, 558, 13077, 1473, 1018, 138, 107, 138, 236772, 5213, 48084, 53121, 236743, 236825, 236778, 236908, 568, 236744, 236761, 236759, 1126, 3423, 17785, 236764, 24488, 13909, 769, 138, 107, 138, 236772, 5213, 20809, 53121, 236743, 236778, 236771, 236908, 568, 236744, 236761, 236759, 1126, 9726, 34799, 19490, 580, 3877, 769, 138, 107, 138, 236772, 5213, 63702, 53121, 236743, 236770, 236828, 236908, 568, 69731, 23779, 4668, 769, 138, 107, 236772, 5213, 3503, 7074, 70731, 53121, 138, 107, 138, 236772, 1366, 236770, 17785, 532, 10534, 6614, 6953, 3188, 4867, 2404, 236761, 138, 107, 138, 236772, 72143, 19898, 14051, 5500, 17659, 236761, 138, 107, 138, 236772, 30510, 7797, 10928, 659, 8601, 840, 711, 3819, 67948, 27078, 38500, 236761, 138, 108, 7243, 108, 10354, 5213, 33062, 30076, 1018, 138, 107, 236772, 5213, 80995, 62503, 53121, 669, 6863, 71868, 563, 22074, 26972, 3418, 12801, 21235, 236764, 22169, 3435, 573, 6334, 3877, 236761, 138, 107, 236772, 5213, 40219, 5554, 53121, 27717, 4414, 27078, 568, 236825, 236778, 11376, 532, 4803, 17785, 3877, 10128, 496, 7644, 2862, 236761, 77092, 10928, 1003, 6429, 21896, 12691, 11734, 840, 776, 711, 105412, 4414, 15067, 236761, 138, 108, 1018, 9272, 50228, 53121, 46071, 3530, 3195, 29141, 653, 4668, 10308, 3342, 768, 4354, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 1593, 564, 236789, 236757, 9795, 855, 496, 53276, 1015, 236789, 236751, 6995, 496, 145206, 48640, 2460, 528, 134917, 2148, 2069, 236764, 532, 564, 1202, 1070, 4889, 236761, 5612, 564, 5697, 2101, 21912, 784, 506, 990, 236764, 564, 1281, 506, 15375, 573, 134917, 659, 236743, 236778, 236819, 236761, 236812, 236825, 236810, 236800, 237366, 646, 236764, 236743, 236819, 236812, 236761, 236832, 236771, 236825, 236825, 237366, 649, 236761, 3199, 611, 974, 506, 80508, 1262, 573, 600, 7075, 699, 6198, 236743, 236778, 236800, 7221, 531, 6198, 236743, 236778, 236825, 594, 236881, 564, 10916, 1202, 36597, 236786, 98729, 2782, 532, 16254, 19401, 1546, 3446, 236761, 564, 31572, 2338, 564, 236858, 236757, 496, 608, 657, 67112, 1239, 16370, 236764, 564, 236858, 236753, 657, 3198, 974, 506, 42787, 10368, 1447, 573, 1515, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 7125, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236812, 236825, 236810, 236800, 236764, 623, 68520, 1083, 753, 236819, 236812, 236761, 236832, 236771, 236825, 236825, 236764, 623, 1201, 1083, 623, 28118, 123492, 236764, 27608, 23179, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 752, 1863, 10292, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 49978, 20128, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236770, 236828, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 49978, 1025, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236771, 236825, 236787, 236771, 236828, 236787, 236771, 236771, 236953, 827, 623, 49978, 236779, 20253, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 118064, 2143, 1083, 623, 236828, 236778, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236771, 236832, 236787, 236770, 236825, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236828, 236787, 236812, 236800, 236787, 236771, 236771, 236953, 827, 623, 49978, 20128, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 49978, 1025, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236771, 236832, 236787, 236771, 236778, 236787, 236771, 236771, 236953, 827, 623, 49978, 236779, 20253, 1083, 623, 9008, 34945, 827, 623, 118064, 2143, 1083, 623, 236810, 236828, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236771, 236832, 236787, 236770, 236832, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236770, 236828, 236787, 236812, 236778, 236787, 236771, 236771, 236953, 827, 623, 49978, 20128, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236778, 236771, 236787, 236771, 236819, 236787, 236771, 236771, 236953, 827, 623, 49978, 1025, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 236774, 236771, 236832, 236787, 236810, 236828, 236787, 236771, 236771, 236953, 827, 623, 49978, 236779, 20253, 1083, 623, 236824, 15190, 90397, 827, 623, 118064, 2143, 1083, 623, 236800, 236812, 38032, 15947, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 80508, 1262, 573, 134917, 236764, 27608, 568, 236778, 236819, 236761, 236812, 236825, 236810, 236800, 237366, 236797, 236764, 236743, 236819, 236812, 236761, 236832, 236771, 236825, 236825, 237366, 236824, 236768, 699, 6198, 236743, 236778, 236800, 7221, 531, 6198, 236743, 236778, 236825, 594, 236787, 108, 244876, 5213, 74361, 228045, 833, 145481, 1018, 138, 107, 236772, 5213, 20123, 236743, 236778, 236800, 66515, 649, 15190, 203243, 806, 568, 236828, 236778, 236908, 53522, 236768, 138, 107, 138, 74361, 33358, 657, 236743, 236825, 236787, 236778, 236778, 8711, 236764, 7093, 657, 236743, 236825, 236787, 236771, 236828, 8151, 568, 20123, 236743, 236778, 236812, 236768, 138, 107, 236772, 5213, 20123, 236743, 236778, 236812, 66515, 11662, 34945, 568, 236810, 236828, 236908, 53522, 236768, 138, 107, 138, 74361, 33358, 657, 236743, 236832, 236787, 236770, 236810, 8711, 236764, 7093, 657, 236743, 236832, 236787, 236771, 236778, 8151, 568, 20123, 236743, 236778, 236810, 236768, 138, 107, 236772, 5213, 20123, 236743, 236778, 236810, 66515, 649, 15190, 90397, 568, 236800, 236812, 236908, 53522, 236768, 138, 107, 138, 74361, 33358, 657, 236743, 236828, 236787, 236771, 236819, 8711, 236764, 7093, 657, 236743, 236832, 236787, 236810, 236828, 8151, 568, 20123, 236743, 236778, 236825, 236768, 138, 108, 246966, 5213, 171656, 236786, 84585, 11922, 1018, 138, 107, 236909, 6809, 142, 236909, 80126, 143, 236909, 44464, 144, 236909, 138, 107, 236909, 40673, 236909, 44042, 236909, 44042, 236909, 138, 107, 236909, 4905, 236743, 236778, 236800, 140, 236909, 236743, 236832, 236787, 236770, 236810, 8151, 143, 236909, 236743, 236825, 236787, 236812, 236810, 8711, 143, 236909, 138, 107, 236909, 4905, 236743, 236778, 236812, 140, 236909, 236743, 236832, 236787, 236770, 236825, 8151, 143, 236909, 236743, 236825, 236787, 236812, 236800, 8711, 143, 236909, 138, 107, 236909, 4905, 236743, 236778, 236810, 140, 236909, 236743, 236832, 236787, 236770, 236832, 8151, 143, 236909, 236743, 236825, 236787, 236812, 236778, 8711, 143, 236909, 138, 108, 195096, 5213, 10282, 66515, 669, 1262, 13526, 6198, 236743, 236778, 236800, 236964, 236778, 236810, 236761, 669, 16254, 1025, 2782, 573, 506, 2269, 5597, 568, 20123, 236743, 236778, 236812, 236964, 236778, 236825, 236768, 659, 5012, 528, 1546, 1719, 236789, 236751, 7234, 236764, 837, 563, 11045, 573, 145206, 48640, 6995, 236761, 21284, 611, 1133, 786, 531, 37386, 4658, 1003, 506, 63829, 19401, 653, 27820, 3439, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 1593, 564, 236789, 236757, 9795, 855, 496, 53276, 1015, 236789, 236751, 6995, 496, 145206, 48640, 2460, 528, 134917, 2148, 2069, 236764, 532, 564, 1202, 1070, 4889, 236761, 5612, 564, 5697, 2101, 21912, 784, 506, 990, 236764, 564, 1281, 506, 15375, 573, 134917, 659, 236743, 236778, 236819, 236761, 236812, 236825, 236810, 236800, 237366, 646, 236764, 236743, 236819, 236812, 236761, 236832, 236771, 236825, 236825, 237366, 649, 236761, 3199, 611, 974, 506, 80508, 1262, 573, 600, 7075, 699, 6198, 236743, 236778, 236800, 7221, 531, 6198, 236743, 236778, 236825, 594, 236881, 564, 10916, 1202, 36597, 236786, 98729, 2782, 532, 16254, 19401, 1546, 3446, 236761, 564, 31572, 2338, 564, 236858, 236757, 496, 608, 657, 67112, 1239, 16370, 236764, 564, 236858, 236753, 657, 3198, 974, 506, 42787, 10368, 1447, 573, 1515, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 7125, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236812, 236825, 236810, 236800, 236764, 623, 68520, 1083, 753, 236819, 236812, 236761, 236832, 236771, 236825, 236825, 236764, 623, 1201, 1083, 623, 28118, 123492, 236764, 27608, 23179, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 752, 1863, 10292, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 49978, 20128, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236770, 236828, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 49978, 1025, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236771, 236825, 236787, 236771, 236828, 236787, 236771, 236771, 236953, 827, 623, 49978, 236779, 20253, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 118064, 2143, 1083, 623, 236828, 236778, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236771, 236832, 236787, 236770, 236825, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236828, 236787, 236812, 236800, 236787, 236771, 236771, 236953, 827, 623, 49978, 20128, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 49978, 1025, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236771, 236832, 236787, 236771, 236778, 236787, 236771, 236771, 236953, 827, 623, 49978, 236779, 20253, 1083, 623, 9008, 34945, 827, 623, 118064, 2143, 1083, 623, 236810, 236828, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236771, 236832, 236787, 236770, 236832, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236770, 236828, 236787, 236812, 236778, 236787, 236771, 236771, 236953, 827, 623, 49978, 20128, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236774, 236778, 236771, 236787, 236771, 236819, 236787, 236771, 236771, 236953, 827, 623, 49978, 1025, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 236774, 236771, 236832, 236787, 236810, 236828, 236787, 236771, 236771, 236953, 827, 623, 49978, 236779, 20253, 1083, 623, 236824, 15190, 90397, 827, 623, 118064, 2143, 1083, 623, 236800, 236812, 38032, 15947, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 80508, 1262, 573, 134917, 236764, 27608, 568, 236778, 236819, 236761, 236812, 236825, 236810, 236800, 237366, 236797, 236764, 236743, 236819, 236812, 236761, 236832, 236771, 236825, 236825, 237366, 236824, 236768, 699, 6198, 236743, 236778, 236800, 7221, 531, 6198, 236743, 236778, 236825, 594, 236787, 108, 244876, 5213, 74361, 228045, 833, 145481, 1018, 138, 107, 236772, 5213, 20123, 236743, 236778, 236800, 66515, 649, 15190, 203243, 806, 568, 236828, 236778, 236908, 53522, 236768, 138, 107, 138, 74361, 33358, 657, 236743, 236825, 236787, 236778, 236778, 8711, 236764, 7093, 657, 236743, 236825, 236787, 236771, 236828, 8151, 568, 20123, 236743, 236778, 236812, 236768, 138, 107, 236772, 5213, 20123, 236743, 236778, 236812, 66515, 11662, 34945, 568, 236810, 236828, 236908, 53522, 236768, 138, 107, 138, 74361, 33358, 657, 236743, 236832, 236787, 236770, 236810, 8711, 236764, 7093, 657, 236743, 236832, 236787, 236771, 236778, 8151, 568, 20123, 236743, 236778, 236810, 236768, 138, 107, 236772, 5213, 20123, 236743, 236778, 236810, 66515, 649, 15190, 90397, 568, 236800, 236812, 236908, 53522, 236768, 138, 107, 138, 74361, 33358, 657, 236743, 236828, 236787, 236771, 236819, 8711, 236764, 7093, 657, 236743, 236832, 236787, 236810, 236828, 8151, 568, 20123, 236743, 236778, 236825, 236768, 138, 108, 246966, 5213, 171656, 236786, 84585, 11922, 1018, 138, 107, 236909, 6809, 142, 236909, 80126, 143, 236909, 44464, 144, 236909, 138, 107, 236909, 40673, 236909, 44042, 236909, 44042, 236909, 138, 107, 236909, 4905, 236743, 236778, 236800, 140, 236909, 236743, 236832, 236787, 236770, 236810, 8151, 143, 236909, 236743, 236825, 236787, 236812, 236810, 8711, 143, 236909, 138, 107, 236909, 4905, 236743, 236778, 236812, 140, 236909, 236743, 236832, 236787, 236770, 236825, 8151, 143, 236909, 236743, 236825, 236787, 236812, 236800, 8711, 143, 236909, 138, 107, 236909, 4905, 236743, 236778, 236810, 140, 236909, 236743, 236832, 236787, 236770, 236832, 8151, 143, 236909, 236743, 236825, 236787, 236812, 236778, 8711, 143, 236909, 138, 108, 195096, 5213, 10282, 66515, 669, 1262, 13526, 6198, 236743, 236778, 236800, 236964, 236778, 236810, 236761, 669, 16254, 1025, 2782, 573, 506, 2269, 5597, 568, 20123, 236743, 236778, 236812, 236964, 236778, 236825, 236768, 659, 5012, 528, 1546, 1719, 236789, 236751, 7234, 236764, 837, 563, 11045, 573, 145206, 48640, 6995, 236761, 21284, 611, 1133, 786, 531, 37386, 4658, 1003, 506, 63829, 19401, 653, 27820, 3439, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 22260, 3756, 50940, 3835, 573, 496, 35818, 17358, 657, 981, 236761, 3199, 611, 33205, 1301, 581, 20759, 134722, 236789, 236751, 1698, 12669, 531, 1460, 1144, 100146, 607, 1023, 9470, 35818, 1948, 7675, 236881, 564, 236789, 236757, 6412, 7467, 528, 3211, 9273, 573, 13719, 5716, 532, 2523, 236772, 18865, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 27975, 1083, 11058, 75103, 174178, 827, 623, 18318, 7656, 827, 623, 172559, 2392, 827, 623, 57335, 7357, 49780, 827, 623, 31924, 706, 64937, 827, 623, 4974, 32344, 14255, 623, 23019, 236779, 50990, 1083, 3714, 1201, 1083, 623, 1558, 581, 20759, 134722, 503, 236761, 236750, 236761, 236748, 10498, 623, 50990, 236779, 547, 1083, 623, 129399, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 71560, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 18289, 8112, 1083, 11058, 21534, 102426, 827, 623, 71869, 188545, 236772, 15370, 827, 623, 181706, 152254, 623, 11607, 236779, 3906, 1083, 3714, 6774, 1083, 623, 3906, 236940, 854, 581, 13994, 134722, 236761, 854, 827, 623, 5275, 1083, 10955, 236812, 236778, 236771, 236743, 236832, 236832, 236832, 236743, 236828, 236828, 236828, 236743, 236819, 236819, 236819, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 854, 581, 13994, 134722, 236761, 854, 23179, 623, 21853, 1083, 3714, 2834, 20770, 1083, 623, 236836, 782, 236785, 236756, 236771, 236771, 11038, 540, 18035, 236785, 236756, 236771, 236770, 236825, 236770, 236745, 236785, 236756, 236771, 236770, 236770, 236763, 236743, 236770, 236778, 236800, 236764, 48729, 236743, 236832, 236764, 35074, 9145, 827, 623, 24761, 236779, 8561, 1083, 623, 236798, 236785, 236756, 236771, 236771, 236744, 236770, 1934, 236785, 236756, 236771, 236770, 236812, 236828, 2592, 236785, 236756, 236771, 236771, 236744, 236770, 236743, 236812, 236810, 236825, 236764, 9953, 844, 10879, 167407, 236764, 35074, 9145, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1301, 581, 20759, 134722, 236789, 236751, 1698, 12669, 532, 7798, 4889, 573, 822, 35818, 17358, 236787, 108, 1018, 7163, 51552, 66515, 107, 236772, 32003, 174178, 568, 46443, 5716, 236772, 18865, 236768, 107, 236772, 7718, 7656, 568, 8628, 519, 236764, 43845, 236772, 5140, 23602, 236768, 107, 236772, 87605, 2392, 568, 23014, 236786, 182552, 638, 236772, 6796, 3835, 4547, 236768, 107, 236772, 23753, 7357, 49780, 568, 145300, 2523, 236772, 18865, 236768, 107, 236772, 105288, 64937, 568, 46443, 5716, 56978, 236768, 107, 236772, 7936, 32344, 568, 236749, 5337, 1415, 236764, 1908, 236772, 16745, 7105, 236768, 108, 1018, 3503, 70731, 66515, 107, 236772, 2343, 3211, 659, 5213, 21534, 102426, 236772, 94636, 125546, 5213, 73633, 188545, 236772, 6796, 125546, 532, 5213, 117829, 1018, 107, 236772, 84225, 528, 236743, 236778, 236771, 236770, 236828, 607, 496, 3213, 580, 43845, 236772, 5140, 236764, 198313, 50940, 107, 236772, 49308, 11554, 4463, 573, 5213, 12748, 1018, 532, 5213, 137539, 3607, 1018, 108, 38786, 611, 1133, 786, 531, 4024, 3662, 4889, 653, 3530, 1698, 15136, 573, 822, 1948, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 11327, 3530, 1698, 15136, 573, 13719, 5716, 532, 2523, 236772, 18865, 3835, 236761, 28344, 611, 8357, 236743, 236778, 236772, 236800, 3211, 699, 1301, 581, 20759, 134722, 236789, 236751, 23191, 600, 1093, 1791, 8816, 1023, 9470, 35818, 1948, 236881, 6542, 236764, 5091, 4024, 910, 3662, 1938, 834, 692, 740, 3249, 3435, 17040, 24121, 3835, 573, 506, 22717, 236761, 106, 107, 105, 4368, 107, 10081, 506, 1301, 581, 20759, 134722, 5904, 1677, 711, 2847, 3530, 1698, 5618, 528, 1061, 3072, 236764, 564, 3914, 33205, 3141, 1698, 4889, 236761, 3153, 236764, 2721, 580, 910, 5213, 46443, 236772, 44049, 236772, 18865, 532, 2523, 236772, 12977, 12669, 125546, 564, 5840, 132187, 1239, 1698, 4458, 573, 822, 35818, 1948, 236787, 108, 236770, 236761, 5213, 57335, 7357, 49780, 10452, 1018, 138, 107, 139, 236772, 169931, 5132, 14617, 34628, 616, 236764, 47604, 19804, 236764, 532, 88099, 59555, 3979, 1356, 7436, 573, 1800, 2940, 532, 12795, 607, 121171, 236761, 108, 236778, 236761, 5213, 75103, 174178, 1018, 138, 107, 139, 236772, 126750, 236772, 5140, 236764, 1908, 236772, 182552, 1194, 23602, 4011, 573, 22717, 35818, 34332, 568, 74860, 496, 55488, 573, 13719, 5716, 769, 108, 236800, 236761, 5213, 18318, 7656, 1018, 138, 107, 139, 236772, 52403, 236772, 5140, 236764, 45184, 236772, 6796, 3835, 6338, 573, 784, 16606, 532, 11690, 5085, 236761, 108, 7243, 108, 1018, 11431, 8230, 573, 105146, 40082, 66515, 138, 107, 236772, 5213, 11919, 66515, 870, 3906, 236940, 854, 581, 13994, 134722, 236761, 854, 5457, 36440, 236787, 3906, 236940, 854, 581, 13994, 134722, 236761, 854, 236768, 138, 107, 236772, 5213, 9704, 66515, 900, 236812, 236778, 236771, 236743, 236832, 236832, 236832, 236743, 236828, 236828, 236828, 236743, 236819, 236819, 236819, 138, 107, 236772, 5213, 42475, 66515, 870, 2769, 236761, 854, 581, 13994, 134722, 236761, 854, 5457, 2574, 1411, 2769, 236761, 854, 581, 13994, 134722, 236761, 854, 236768, 138, 108, 236777, 5840, 17154, 855, 531, 3249, 11961, 33000, 653, 17040, 21212, 236761, 21284, 611, 1133, 1601, 66582, 496, 3618, 531, 910, 2434, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1202, 1601, 66582, 496, 3618, 531, 1301, 581, 20759, 134722, 1003, 17040, 24121, 1239, 10325, 12669, 236761, 28344, 611, 10946, 496, 5707, 26410, 600, 42298, 1023, 2142, 528, 910, 7205, 65369, 1757, 236764, 11645, 98637, 236764, 532, 92332, 573, 22717, 35818, 34332, 236881, 7323, 3204, 1023, 24104, 573, 645, 54385, 21498, 236772, 94636, 3211, 532, 2679, 1003, 7081, 1900, 17772, 532, 11961, 11403, 7760, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12262, 3618, 611, 740, 5039, 531, 1301, 581, 20759, 134722, 236787, 108, 7243, 108, 1018, 21288, 53121, 87101, 11968, 105146, 40082, 573, 97361, 64542, 85043, 138, 108, 31163, 1301, 581, 20759, 134722, 10765, 236764, 138, 108, 4754, 1463, 563, 870, 11069, 7343, 1604, 532, 564, 236858, 236757, 64451, 496, 22717, 35818, 17358, 657, 870, 11069, 6503, 7343, 1619, 1191, 236858, 500, 22260, 33000, 607, 30426, 13965, 1133, 23149, 531, 3738, 3756, 236764, 2523, 236772, 18865, 3211, 573, 9470, 35818, 34332, 236761, 138, 108, 1882, 236858, 500, 6412, 7467, 528, 822, 5213, 45688, 65369, 1757, 125546, 5213, 40995, 98637, 125546, 532, 5213, 16283, 7656, 1018, 3211, 236764, 618, 901, 8913, 607, 1023, 3213, 580, 13719, 236772, 44049, 236772, 18865, 532, 645, 54385, 21498, 236772, 94636, 3835, 236761, 28344, 611, 39682, 2847, 506, 2269, 4889, 236881, 138, 108, 236770, 236761, 5213, 41802, 1900, 17772, 1018, 573, 17040, 25663, 529, 506, 2787, 12669, 236761, 138, 107, 236778, 236761, 8230, 1003, 5213, 107556, 11403, 6607, 1018, 653, 36498, 573, 22717, 35818, 19898, 236761, 138, 107, 236800, 236761, 7129, 4767, 4889, 1003, 1698, 13153, 236764, 83073, 236764, 653, 61988, 3835, 568, 236744, 236761, 236759, 1126, 55552, 16593, 769, 138, 108, 1882, 56856, 3211, 600, 659, 28976, 236764, 78685, 236772, 6796, 236764, 532, 126261, 6095, 236764, 532, 692, 236858, 500, 9775, 1003, 506, 11160, 529, 65122, 607, 822, 2434, 236761, 138, 108, 14782, 611, 573, 822, 990, 236764, 532, 692, 1385, 4448, 531, 9903, 699, 611, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 18127, 17310, 236842, 138, 107, 236840, 11069, 6503, 7343, 236842, 138, 107, 236840, 11069, 13948, 8230, 236842, 138, 107, 236840, 11919, 15874, 236842, 1109, 870, 9704, 9661, 236842, 138, 108, 7243, 108, 2094, 7930, 58811, 66672, 1651, 8207, 93616, 822, 3548, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 1027, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22260, 3756, 50940, 3835, 573, 496, 35818, 17358, 657, 981, 236761, 3199, 611, 33205, 1301, 581, 20759, 134722, 236789, 236751, 1698, 12669, 531, 1460, 1144, 100146, 607, 1023, 9470, 35818, 1948, 7675, 236881, 564, 236789, 236757, 6412, 7467, 528, 3211, 9273, 573, 13719, 5716, 532, 2523, 236772, 18865, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 27975, 1083, 11058, 75103, 174178, 827, 623, 18318, 7656, 827, 623, 172559, 2392, 827, 623, 57335, 7357, 49780, 827, 623, 31924, 706, 64937, 827, 623, 4974, 32344, 14255, 623, 23019, 236779, 50990, 1083, 3714, 1201, 1083, 623, 1558, 581, 20759, 134722, 503, 236761, 236750, 236761, 236748, 10498, 623, 50990, 236779, 547, 1083, 623, 129399, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 71560, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 18289, 8112, 1083, 11058, 21534, 102426, 827, 623, 71869, 188545, 236772, 15370, 827, 623, 181706, 152254, 623, 11607, 236779, 3906, 1083, 3714, 6774, 1083, 623, 3906, 236940, 854, 581, 13994, 134722, 236761, 854, 827, 623, 5275, 1083, 10955, 236812, 236778, 236771, 236743, 236832, 236832, 236832, 236743, 236828, 236828, 236828, 236743, 236819, 236819, 236819, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 854, 581, 13994, 134722, 236761, 854, 23179, 623, 21853, 1083, 3714, 2834, 20770, 1083, 623, 236836, 782, 236785, 236756, 236771, 236771, 11038, 540, 18035, 236785, 236756, 236771, 236770, 236825, 236770, 236745, 236785, 236756, 236771, 236770, 236770, 236763, 236743, 236770, 236778, 236800, 236764, 48729, 236743, 236832, 236764, 35074, 9145, 827, 623, 24761, 236779, 8561, 1083, 623, 236798, 236785, 236756, 236771, 236771, 236744, 236770, 1934, 236785, 236756, 236771, 236770, 236812, 236828, 2592, 236785, 236756, 236771, 236771, 236744, 236770, 236743, 236812, 236810, 236825, 236764, 9953, 844, 10879, 167407, 236764, 35074, 9145, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1301, 581, 20759, 134722, 236789, 236751, 1698, 12669, 532, 7798, 4889, 573, 822, 35818, 17358, 236787, 108, 1018, 7163, 51552, 66515, 107, 236772, 32003, 174178, 568, 46443, 5716, 236772, 18865, 236768, 107, 236772, 7718, 7656, 568, 8628, 519, 236764, 43845, 236772, 5140, 23602, 236768, 107, 236772, 87605, 2392, 568, 23014, 236786, 182552, 638, 236772, 6796, 3835, 4547, 236768, 107, 236772, 23753, 7357, 49780, 568, 145300, 2523, 236772, 18865, 236768, 107, 236772, 105288, 64937, 568, 46443, 5716, 56978, 236768, 107, 236772, 7936, 32344, 568, 236749, 5337, 1415, 236764, 1908, 236772, 16745, 7105, 236768, 108, 1018, 3503, 70731, 66515, 107, 236772, 2343, 3211, 659, 5213, 21534, 102426, 236772, 94636, 125546, 5213, 73633, 188545, 236772, 6796, 125546, 532, 5213, 117829, 1018, 107, 236772, 84225, 528, 236743, 236778, 236771, 236770, 236828, 607, 496, 3213, 580, 43845, 236772, 5140, 236764, 198313, 50940, 107, 236772, 49308, 11554, 4463, 573, 5213, 12748, 1018, 532, 5213, 137539, 3607, 1018, 108, 38786, 611, 1133, 786, 531, 4024, 3662, 4889, 653, 3530, 1698, 15136, 573, 822, 1948, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 11327, 3530, 1698, 15136, 573, 13719, 5716, 532, 2523, 236772, 18865, 3835, 236761, 28344, 611, 8357, 236743, 236778, 236772, 236800, 3211, 699, 1301, 581, 20759, 134722, 236789, 236751, 23191, 600, 1093, 1791, 8816, 1023, 9470, 35818, 1948, 236881, 6542, 236764, 5091, 4024, 910, 3662, 1938, 834, 692, 740, 3249, 3435, 17040, 24121, 3835, 573, 506, 22717, 236761, 106, 107, 105, 4368, 107, 10081, 506, 1301, 581, 20759, 134722, 5904, 1677, 711, 2847, 3530, 1698, 5618, 528, 1061, 3072, 236764, 564, 3914, 33205, 3141, 1698, 4889, 236761, 3153, 236764, 2721, 580, 910, 5213, 46443, 236772, 44049, 236772, 18865, 532, 2523, 236772, 12977, 12669, 125546, 564, 5840, 132187, 1239, 1698, 4458, 573, 822, 35818, 1948, 236787, 108, 236770, 236761, 5213, 57335, 7357, 49780, 10452, 1018, 138, 107, 139, 236772, 169931, 5132, 14617, 34628, 616, 236764, 47604, 19804, 236764, 532, 88099, 59555, 3979, 1356, 7436, 573, 1800, 2940, 532, 12795, 607, 121171, 236761, 108, 236778, 236761, 5213, 75103, 174178, 1018, 138, 107, 139, 236772, 126750, 236772, 5140, 236764, 1908, 236772, 182552, 1194, 23602, 4011, 573, 22717, 35818, 34332, 568, 74860, 496, 55488, 573, 13719, 5716, 769, 108, 236800, 236761, 5213, 18318, 7656, 1018, 138, 107, 139, 236772, 52403, 236772, 5140, 236764, 45184, 236772, 6796, 3835, 6338, 573, 784, 16606, 532, 11690, 5085, 236761, 108, 7243, 108, 1018, 11431, 8230, 573, 105146, 40082, 66515, 138, 107, 236772, 5213, 11919, 66515, 870, 3906, 236940, 854, 581, 13994, 134722, 236761, 854, 5457, 36440, 236787, 3906, 236940, 854, 581, 13994, 134722, 236761, 854, 236768, 138, 107, 236772, 5213, 9704, 66515, 900, 236812, 236778, 236771, 236743, 236832, 236832, 236832, 236743, 236828, 236828, 236828, 236743, 236819, 236819, 236819, 138, 107, 236772, 5213, 42475, 66515, 870, 2769, 236761, 854, 581, 13994, 134722, 236761, 854, 5457, 2574, 1411, 2769, 236761, 854, 581, 13994, 134722, 236761, 854, 236768, 138, 108, 236777, 5840, 17154, 855, 531, 3249, 11961, 33000, 653, 17040, 21212, 236761, 21284, 611, 1133, 1601, 66582, 496, 3618, 531, 910, 2434, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1202, 1601, 66582, 496, 3618, 531, 1301, 581, 20759, 134722, 1003, 17040, 24121, 1239, 10325, 12669, 236761, 28344, 611, 10946, 496, 5707, 26410, 600, 42298, 1023, 2142, 528, 910, 7205, 65369, 1757, 236764, 11645, 98637, 236764, 532, 92332, 573, 22717, 35818, 34332, 236881, 7323, 3204, 1023, 24104, 573, 645, 54385, 21498, 236772, 94636, 3211, 532, 2679, 1003, 7081, 1900, 17772, 532, 11961, 11403, 7760, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12262, 3618, 611, 740, 5039, 531, 1301, 581, 20759, 134722, 236787, 108, 7243, 108, 1018, 21288, 53121, 87101, 11968, 105146, 40082, 573, 97361, 64542, 85043, 138, 108, 31163, 1301, 581, 20759, 134722, 10765, 236764, 138, 108, 4754, 1463, 563, 870, 11069, 7343, 1604, 532, 564, 236858, 236757, 64451, 496, 22717, 35818, 17358, 657, 870, 11069, 6503, 7343, 1619, 1191, 236858, 500, 22260, 33000, 607, 30426, 13965, 1133, 23149, 531, 3738, 3756, 236764, 2523, 236772, 18865, 3211, 573, 9470, 35818, 34332, 236761, 138, 108, 1882, 236858, 500, 6412, 7467, 528, 822, 5213, 45688, 65369, 1757, 125546, 5213, 40995, 98637, 125546, 532, 5213, 16283, 7656, 1018, 3211, 236764, 618, 901, 8913, 607, 1023, 3213, 580, 13719, 236772, 44049, 236772, 18865, 532, 645, 54385, 21498, 236772, 94636, 3835, 236761, 28344, 611, 39682, 2847, 506, 2269, 4889, 236881, 138, 108, 236770, 236761, 5213, 41802, 1900, 17772, 1018, 573, 17040, 25663, 529, 506, 2787, 12669, 236761, 138, 107, 236778, 236761, 8230, 1003, 5213, 107556, 11403, 6607, 1018, 653, 36498, 573, 22717, 35818, 19898, 236761, 138, 107, 236800, 236761, 7129, 4767, 4889, 1003, 1698, 13153, 236764, 83073, 236764, 653, 61988, 3835, 568, 236744, 236761, 236759, 1126, 55552, 16593, 769, 138, 108, 1882, 56856, 3211, 600, 659, 28976, 236764, 78685, 236772, 6796, 236764, 532, 126261, 6095, 236764, 532, 692, 236858, 500, 9775, 1003, 506, 11160, 529, 65122, 607, 822, 2434, 236761, 138, 108, 14782, 611, 573, 822, 990, 236764, 532, 692, 1385, 4448, 531, 9903, 699, 611, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 18127, 17310, 236842, 138, 107, 236840, 11069, 6503, 7343, 236842, 138, 107, 236840, 11069, 13948, 8230, 236842, 138, 107, 236840, 11919, 15874, 236842, 1109, 870, 9704, 9661, 236842, 138, 108, 7243, 108, 2094, 7930, 58811, 66672, 1651, 8207, 93616, 822, 3548, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 1027, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 6995, 496, 12441, 4598, 573, 1041, 2260, 5975, 672, 7672, 532, 564, 1461, 531, 1161, 506, 5756, 677, 2031, 564, 1164, 45869, 699, 1041, 7972, 236761, 28344, 611, 1171, 974, 786, 496, 4940, 12441, 15028, 600, 5132, 677, 2031, 236881, 4298, 236764, 3622, 611, 735, 506, 15028, 3822, 236764, 1586, 506, 1171, 1908, 236772, 102060, 1194, 2872, 528, 600, 3822, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 3250, 1083, 623, 1659, 705, 532, 94025, 201752, 42949, 827, 623, 77095, 1083, 11058, 98505, 81201, 827, 623, 40323, 677, 2031, 827, 623, 5359, 788, 827, 623, 594, 30442, 827, 623, 106052, 4446, 14255, 623, 96654, 1083, 623, 236770, 236761, 220283, 19768, 531, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 236743, 236778, 236761, 16339, 12480, 607, 26012, 4446, 236764, 113033, 29508, 236764, 532, 43449, 677, 2031, 236761, 236743, 236800, 236761, 187986, 573, 236743, 236778, 236810, 4310, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18857, 1083, 623, 236766, 25938, 106, 107, 105, 4368, 107, 818, 15028, 611, 15633, 563, 5213, 236775, 1659, 705, 532, 94025, 201752, 42949, 236775, 84750, 138, 107, 818, 1171, 1908, 236772, 102060, 1194, 2872, 528, 506, 3822, 563, 5213, 236929, 236766, 236929, 84750, 138, 108, 53132, 822, 2260, 5975, 12441, 4598, 236888, 236743, 247815, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 6995, 496, 12441, 4598, 573, 1041, 2260, 5975, 672, 7672, 532, 564, 1461, 531, 1161, 506, 5756, 677, 2031, 564, 1164, 45869, 699, 1041, 7972, 236761, 28344, 611, 1171, 974, 786, 496, 4940, 12441, 15028, 600, 5132, 677, 2031, 236881, 4298, 236764, 3622, 611, 735, 506, 15028, 3822, 236764, 1586, 506, 1171, 1908, 236772, 102060, 1194, 2872, 528, 600, 3822, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 3250, 1083, 623, 1659, 705, 532, 94025, 201752, 42949, 827, 623, 77095, 1083, 11058, 98505, 81201, 827, 623, 40323, 677, 2031, 827, 623, 5359, 788, 827, 623, 594, 30442, 827, 623, 106052, 4446, 14255, 623, 96654, 1083, 623, 236770, 236761, 220283, 19768, 531, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 236743, 236778, 236761, 16339, 12480, 607, 26012, 4446, 236764, 113033, 29508, 236764, 532, 43449, 677, 2031, 236761, 236743, 236800, 236761, 187986, 573, 236743, 236778, 236810, 4310, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18857, 1083, 623, 236766, 25938, 106, 107, 105, 4368, 107, 818, 15028, 611, 15633, 563, 5213, 236775, 1659, 705, 532, 94025, 201752, 42949, 236775, 84750, 138, 107, 818, 1171, 1908, 236772, 102060, 1194, 2872, 528, 506, 3822, 563, 5213, 236929, 236766, 236929, 84750, 138, 108, 53132, 822, 2260, 5975, 12441, 4598, 236888, 236743, 247815, 238178, 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, 10224, 600, 236789, 236751, 75389, 699, 19627, 531, 9079, 3124, 532, 1299, 2426, 1061, 16257, 990, 528, 9079, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236800, 236812, 236810, 236825, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 50429, 827, 623, 39175, 1083, 623, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 23179, 3714, 30861, 236779, 5640, 1083, 623, 11558, 236770, 236778, 236800, 236812, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 50429, 827, 623, 39175, 1083, 623, 236770, 827, 623, 4818, 1083, 623, 167772, 23179, 3714, 30861, 236779, 5640, 1083, 623, 115400, 236832, 236828, 236819, 236771, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 50429, 827, 623, 39175, 1083, 623, 236778, 827, 623, 4818, 1083, 623, 2791, 7578, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 22344, 75389, 699, 19627, 531, 9079, 3124, 236787, 108, 236770, 236761, 5213, 7692, 236800, 236812, 236810, 236825, 1018, 568, 67960, 236743, 236812, 236768, 753, 3827, 14865, 657, 236743, 236770, 236810, 236787, 236800, 236771, 568, 2791, 7578, 236768, 107, 236778, 236761, 5213, 11558, 236770, 236778, 236800, 236812, 1018, 568, 67960, 236743, 236770, 236768, 753, 3827, 14865, 657, 236743, 236770, 236825, 236787, 236770, 236810, 568, 167772, 236768, 107, 236800, 236761, 5213, 115400, 236832, 236828, 236819, 236771, 1018, 568, 67960, 236743, 236778, 236768, 753, 3827, 14865, 657, 236743, 236770, 236832, 236787, 236812, 236810, 568, 2791, 7578, 236768, 108, 9675, 236764, 564, 3914, 2426, 506, 16257, 2782, 528, 9079, 607, 506, 1873, 6436, 236764, 618, 1041, 5213, 86614, 1018, 1292, 1186, 4146, 573, 19627, 4244, 32710, 17526, 568, 102892, 769, 1701, 16257, 4889, 528, 9079, 236764, 611, 236858, 236753, 1202, 531, 6618, 506, 32579, 236858, 236751, 4456, 653, 496, 4185, 10224, 16074, 2509, 3622, 506, 10224, 120352, 19627, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236888, 236743, 244710, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 10224, 600, 236789, 236751, 75389, 699, 19627, 531, 9079, 3124, 532, 1299, 2426, 1061, 16257, 990, 528, 9079, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236800, 236812, 236810, 236825, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 50429, 827, 623, 39175, 1083, 623, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 23179, 3714, 30861, 236779, 5640, 1083, 623, 11558, 236770, 236778, 236800, 236812, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 50429, 827, 623, 39175, 1083, 623, 236770, 827, 623, 4818, 1083, 623, 167772, 23179, 3714, 30861, 236779, 5640, 1083, 623, 115400, 236832, 236828, 236819, 236771, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 50429, 827, 623, 39175, 1083, 623, 236778, 827, 623, 4818, 1083, 623, 2791, 7578, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 22344, 75389, 699, 19627, 531, 9079, 3124, 236787, 108, 236770, 236761, 5213, 7692, 236800, 236812, 236810, 236825, 1018, 568, 67960, 236743, 236812, 236768, 753, 3827, 14865, 657, 236743, 236770, 236810, 236787, 236800, 236771, 568, 2791, 7578, 236768, 107, 236778, 236761, 5213, 11558, 236770, 236778, 236800, 236812, 1018, 568, 67960, 236743, 236770, 236768, 753, 3827, 14865, 657, 236743, 236770, 236825, 236787, 236770, 236810, 568, 167772, 236768, 107, 236800, 236761, 5213, 115400, 236832, 236828, 236819, 236771, 1018, 568, 67960, 236743, 236778, 236768, 753, 3827, 14865, 657, 236743, 236770, 236832, 236787, 236812, 236810, 568, 2791, 7578, 236768, 108, 9675, 236764, 564, 3914, 2426, 506, 16257, 2782, 528, 9079, 607, 506, 1873, 6436, 236764, 618, 1041, 5213, 86614, 1018, 1292, 1186, 4146, 573, 19627, 4244, 32710, 17526, 568, 102892, 769, 1701, 16257, 4889, 528, 9079, 236764, 611, 236858, 236753, 1202, 531, 6618, 506, 32579, 236858, 236751, 4456, 653, 496, 4185, 10224, 16074, 2509, 3622, 506, 10224, 120352, 19627, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236888, 236743, 244710, 238178, 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, 29840, 236761, 564, 236789, 236757, 201585, 1023, 2434, 236789, 236751, 16038, 24564, 2460, 494, 236772, 18123, 1900, 532, 1202, 531, 7715, 19753, 236761, 5315, 236764, 9279, 506, 6281, 529, 236743, 236770, 236771, 236761, 4298, 236764, 1699, 600, 4453, 1354, 236764, 9279, 506, 2558, 2157, 573, 496, 10294, 6343, 7906, 600, 1551, 4852, 31979, 657, 609, 236770, 236771, 1546, 236761, 564, 1461, 531, 1386, 2889, 692, 4196, 2351, 1023, 609, 236770, 236764, 236771, 236771, 236771, 2434, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 1083, 236743, 236770, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 6281, 529, 236743, 236770, 236771, 563, 5213, 236770, 236771, 236771, 84750, 138, 107, 17123, 672, 1354, 236764, 506, 2558, 2157, 573, 236743, 236770, 236771, 236771, 494, 236772, 46299, 31979, 657, 609, 236770, 236771, 1546, 563, 5213, 236795, 236770, 236764, 236771, 236771, 236771, 84750, 138, 108, 2094, 12853, 822, 609, 236770, 236764, 236771, 236771, 236771, 7715, 7121, 236761, 5180, 2434, 563, 2351, 7715, 236888, 236743, 247211, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29840, 236761, 564, 236789, 236757, 201585, 1023, 2434, 236789, 236751, 16038, 24564, 2460, 494, 236772, 18123, 1900, 532, 1202, 531, 7715, 19753, 236761, 5315, 236764, 9279, 506, 6281, 529, 236743, 236770, 236771, 236761, 4298, 236764, 1699, 600, 4453, 1354, 236764, 9279, 506, 2558, 2157, 573, 496, 10294, 6343, 7906, 600, 1551, 4852, 31979, 657, 609, 236770, 236771, 1546, 236761, 564, 1461, 531, 1386, 2889, 692, 4196, 2351, 1023, 609, 236770, 236764, 236771, 236771, 236771, 2434, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 1083, 236743, 236770, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 818, 6281, 529, 236743, 236770, 236771, 563, 5213, 236770, 236771, 236771, 84750, 138, 107, 17123, 672, 1354, 236764, 506, 2558, 2157, 573, 236743, 236770, 236771, 236771, 494, 236772, 46299, 31979, 657, 609, 236770, 236771, 1546, 563, 5213, 236795, 236770, 236764, 236771, 236771, 236771, 84750, 138, 108, 2094, 12853, 822, 609, 236770, 236764, 236771, 236771, 236771, 7715, 7121, 236761, 5180, 2434, 563, 2351, 7715, 236888, 236743, 247211, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 1202, 1601, 8159, 1938, 1003, 886, 529, 1041, 16934, 236761, 28344, 611, 1385, 872, 9470, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 236881, 564, 1461, 531, 3540, 910, 8781, 531, 2480, 3050, 910, 2707, 1680, 1023, 2148, 2434, 5395, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 3473, 1083, 623, 51551, 15435, 31016, 827, 623, 53568, 1083, 623, 80401, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 53236, 1083, 11058, 236770, 236771, 236862, 1518, 528, 2587, 236772, 9607, 2913, 827, 623, 23244, 5411, 528, 17856, 532, 9945, 827, 623, 76859, 16064, 531, 4719, 15897, 13217, 827, 623, 166066, 573, 21640, 18270, 14255, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 21516, 11860, 568, 1735, 236787, 236743, 236812, 236810, 236825, 236832, 236828, 1473, 108, 1018, 16679, 25252, 1018, 107, 236772, 5213, 9223, 53121, 19563, 15435, 31016, 107, 236772, 5213, 23567, 53121, 12464, 107, 236772, 5213, 6302, 6809, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 107, 236772, 5213, 6717, 53121, 23531, 108, 1018, 3503, 20369, 53121, 107, 236772, 236743, 236770, 236771, 236862, 1518, 528, 2587, 236772, 9607, 2913, 107, 236772, 10624, 5411, 528, 17856, 532, 9945, 107, 236772, 43821, 16064, 531, 4719, 15897, 13217, 107, 236772, 90265, 573, 21640, 18270, 108, 2094, 1374, 1601, 611, 11006, 573, 822, 5395, 236761, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 106, 107, 105, 2364, 107, 236777, 14275, 21516, 236789, 236751, 67981, 2707, 1451, 577, 12272, 573, 1023, 2434, 236761, 28344, 611, 1385, 872, 9470, 5853, 236743, 236819, 236828, 236832, 236825, 236810, 236881, 564, 4646, 901, 236789, 500, 886, 529, 1023, 33530, 19933, 13919, 3295, 236764, 532, 564, 236789, 236753, 1133, 531, 11327, 3435, 97779, 13792, 1308, 35329, 21516, 236789, 236751, 8781, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 14557, 236779, 3250, 1083, 623, 100244, 80454, 51495, 16091, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 53568, 1083, 623, 34105, 27194, 827, 623, 55283, 1083, 11058, 19952, 6007, 827, 623, 61569, 184790, 827, 623, 110549, 47278, 14255, 623, 658, 5227, 236779, 188357, 1083, 11058, 139388, 8236, 827, 623, 163646, 17263, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 21516, 11860, 568, 1735, 236787, 236743, 236819, 236828, 236832, 236825, 236810, 1473, 108, 1018, 16679, 25252, 1018, 138, 107, 236772, 5213, 16882, 17310, 53121, 29576, 80454, 51495, 16091, 138, 107, 236772, 5213, 23567, 53121, 30970, 27194, 138, 107, 236772, 5213, 6302, 6809, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 6717, 53121, 23531, 138, 108, 1018, 3503, 39432, 53121, 138, 107, 236772, 17438, 6007, 138, 107, 236772, 16661, 184790, 138, 107, 236772, 71928, 47278, 138, 108, 1018, 66078, 5227, 140766, 53121, 138, 107, 236772, 36485, 8236, 138, 107, 236772, 51495, 17263, 138, 108, 236829, 10282, 149681, 2085, 659, 1156, 6951, 7489, 21516, 11860, 528, 506, 1458, 236761, 1174, 8781, 17671, 531, 506, 33530, 19933, 13919, 4374, 528, 30970, 27194, 236761, 669, 67981, 10521, 8913, 1388, 607, 21516, 11860, 568, 51551, 15435, 31016, 21725, 236751, 2707, 618, 496, 37171, 236761, 21284, 611, 1133, 1601, 18024, 1091, 653, 22260, 3342, 236881, 106, 107, 105, 2364, 107, 818, 25000, 1534, 21516, 11860, 568, 51551, 15435, 31016, 236768, 532, 21516, 11860, 568, 100244, 80454, 51495, 16091, 236768, 5072, 23284, 573, 4071, 236772, 53568, 97779, 236761, 28344, 611, 2426, 9470, 5853, 236743, 236770, 236770, 236778, 236778, 236800, 236881, 564, 4646, 672, 563, 506, 3662, 1938, 573, 1023, 30970, 27194, 4122, 38835, 237028, 29891, 522, 910, 3853, 2473, 1601, 786, 20017, 496, 10781, 97779, 39364, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236770, 236770, 236778, 236778, 236800, 827, 623, 10602, 236779, 1201, 1083, 623, 65944, 11860, 827, 623, 10639, 1083, 623, 34105, 27194, 17263, 44396, 827, 623, 53568, 1083, 623, 34105, 27194, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 236751, 236761, 62785, 1588, 236940, 177037, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 236772, 236810, 236810, 236810, 236772, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 23179, 623, 60123, 236779, 4818, 1083, 623, 14009, 827, 623, 7125, 1083, 623, 18807, 20770, 753, 43687, 236743, 236812, 827, 623, 22030, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 21516, 11860, 568, 1735, 236787, 236743, 236770, 236770, 236778, 236778, 236800, 1473, 108, 1018, 16679, 25252, 1018, 138, 107, 236772, 5213, 21114, 53121, 30970, 27194, 17263, 44396, 138, 107, 236772, 5213, 23567, 53121, 30970, 27194, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 19955, 236787, 503, 236761, 62785, 1588, 236940, 177037, 236761, 854, 138, 107, 138, 236772, 23386, 236787, 900, 236770, 236772, 236810, 236810, 236810, 236772, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 138, 107, 236772, 5213, 6375, 53121, 69420, 753, 43687, 236743, 236812, 138, 107, 236772, 5213, 6717, 53121, 23531, 138, 107, 236772, 5213, 179610, 6809, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 108, 2094, 44898, 1304, 563, 506, 4338, 3662, 573, 30970, 27194, 4122, 11949, 236761, 669, 1806, 21516, 54200, 1190, 8385, 834, 2793, 236787, 138, 107, 236770, 236761, 19563, 15435, 31016, 568, 80401, 236768, 138, 107, 236778, 236761, 29576, 80454, 51495, 16091, 568, 34105, 27194, 236768, 138, 107, 236800, 236761, 17263, 44396, 568, 34105, 27194, 236768, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 15523, 531, 3371, 1239, 7010, 35252, 236764, 653, 1093, 611, 1133, 531, 1385, 872, 2264, 9470, 5853, 573, 4767, 4403, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 1202, 1601, 8159, 1938, 1003, 886, 529, 1041, 16934, 236761, 28344, 611, 1385, 872, 9470, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 236881, 564, 1461, 531, 3540, 910, 8781, 531, 2480, 3050, 910, 2707, 1680, 1023, 2148, 2434, 5395, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 3473, 1083, 623, 51551, 15435, 31016, 827, 623, 53568, 1083, 623, 80401, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 53236, 1083, 11058, 236770, 236771, 236862, 1518, 528, 2587, 236772, 9607, 2913, 827, 623, 23244, 5411, 528, 17856, 532, 9945, 827, 623, 76859, 16064, 531, 4719, 15897, 13217, 827, 623, 166066, 573, 21640, 18270, 14255, 623, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 21516, 11860, 568, 1735, 236787, 236743, 236812, 236810, 236825, 236832, 236828, 1473, 108, 1018, 16679, 25252, 1018, 107, 236772, 5213, 9223, 53121, 19563, 15435, 31016, 107, 236772, 5213, 23567, 53121, 12464, 107, 236772, 5213, 6302, 6809, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 107, 236772, 5213, 6717, 53121, 23531, 108, 1018, 3503, 20369, 53121, 107, 236772, 236743, 236770, 236771, 236862, 1518, 528, 2587, 236772, 9607, 2913, 107, 236772, 10624, 5411, 528, 17856, 532, 9945, 107, 236772, 43821, 16064, 531, 4719, 15897, 13217, 107, 236772, 90265, 573, 21640, 18270, 108, 2094, 1374, 1601, 611, 11006, 573, 822, 5395, 236761, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 106, 107, 105, 2364, 107, 236777, 14275, 21516, 236789, 236751, 67981, 2707, 1451, 577, 12272, 573, 1023, 2434, 236761, 28344, 611, 1385, 872, 9470, 5853, 236743, 236819, 236828, 236832, 236825, 236810, 236881, 564, 4646, 901, 236789, 500, 886, 529, 1023, 33530, 19933, 13919, 3295, 236764, 532, 564, 236789, 236753, 1133, 531, 11327, 3435, 97779, 13792, 1308, 35329, 21516, 236789, 236751, 8781, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 14557, 236779, 3250, 1083, 623, 100244, 80454, 51495, 16091, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 53568, 1083, 623, 34105, 27194, 827, 623, 55283, 1083, 11058, 19952, 6007, 827, 623, 61569, 184790, 827, 623, 110549, 47278, 14255, 623, 658, 5227, 236779, 188357, 1083, 11058, 139388, 8236, 827, 623, 163646, 17263, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 21516, 11860, 568, 1735, 236787, 236743, 236819, 236828, 236832, 236825, 236810, 1473, 108, 1018, 16679, 25252, 1018, 138, 107, 236772, 5213, 16882, 17310, 53121, 29576, 80454, 51495, 16091, 138, 107, 236772, 5213, 23567, 53121, 30970, 27194, 138, 107, 236772, 5213, 6302, 6809, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 6717, 53121, 23531, 138, 108, 1018, 3503, 39432, 53121, 138, 107, 236772, 17438, 6007, 138, 107, 236772, 16661, 184790, 138, 107, 236772, 71928, 47278, 138, 108, 1018, 66078, 5227, 140766, 53121, 138, 107, 236772, 36485, 8236, 138, 107, 236772, 51495, 17263, 138, 108, 236829, 10282, 149681, 2085, 659, 1156, 6951, 7489, 21516, 11860, 528, 506, 1458, 236761, 1174, 8781, 17671, 531, 506, 33530, 19933, 13919, 4374, 528, 30970, 27194, 236761, 669, 67981, 10521, 8913, 1388, 607, 21516, 11860, 568, 51551, 15435, 31016, 21725, 236751, 2707, 618, 496, 37171, 236761, 21284, 611, 1133, 1601, 18024, 1091, 653, 22260, 3342, 236881, 106, 107, 105, 2364, 107, 818, 25000, 1534, 21516, 11860, 568, 51551, 15435, 31016, 236768, 532, 21516, 11860, 568, 100244, 80454, 51495, 16091, 236768, 5072, 23284, 573, 4071, 236772, 53568, 97779, 236761, 28344, 611, 2426, 9470, 5853, 236743, 236770, 236770, 236778, 236778, 236800, 236881, 564, 4646, 672, 563, 506, 3662, 1938, 573, 1023, 30970, 27194, 4122, 38835, 237028, 29891, 522, 910, 3853, 2473, 1601, 786, 20017, 496, 10781, 97779, 39364, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31003, 236779, 547, 1083, 623, 236770, 236770, 236778, 236778, 236800, 827, 623, 10602, 236779, 1201, 1083, 623, 65944, 11860, 827, 623, 10639, 1083, 623, 34105, 27194, 17263, 44396, 827, 623, 53568, 1083, 623, 34105, 27194, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 236751, 236761, 62785, 1588, 236940, 177037, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 236772, 236810, 236810, 236810, 236772, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 23179, 623, 60123, 236779, 4818, 1083, 623, 14009, 827, 623, 7125, 1083, 623, 18807, 20770, 753, 43687, 236743, 236812, 827, 623, 22030, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 21516, 11860, 568, 1735, 236787, 236743, 236770, 236770, 236778, 236778, 236800, 1473, 108, 1018, 16679, 25252, 1018, 138, 107, 236772, 5213, 21114, 53121, 30970, 27194, 17263, 44396, 138, 107, 236772, 5213, 23567, 53121, 30970, 27194, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 19955, 236787, 503, 236761, 62785, 1588, 236940, 177037, 236761, 854, 138, 107, 138, 236772, 23386, 236787, 900, 236770, 236772, 236810, 236810, 236810, 236772, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 138, 107, 236772, 5213, 6375, 53121, 69420, 753, 43687, 236743, 236812, 138, 107, 236772, 5213, 6717, 53121, 23531, 138, 107, 236772, 5213, 179610, 6809, 53121, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 108, 2094, 44898, 1304, 563, 506, 4338, 3662, 573, 30970, 27194, 4122, 11949, 236761, 669, 1806, 21516, 54200, 1190, 8385, 834, 2793, 236787, 138, 107, 236770, 236761, 19563, 15435, 31016, 568, 80401, 236768, 138, 107, 236778, 236761, 29576, 80454, 51495, 16091, 568, 34105, 27194, 236768, 138, 107, 236800, 236761, 17263, 44396, 568, 34105, 27194, 236768, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 15523, 531, 3371, 1239, 7010, 35252, 236764, 653, 1093, 611, 1133, 531, 1385, 872, 2264, 9470, 5853, 573, 4767, 4403, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 1070, 4867, 31100, 14845, 573, 1041, 7391, 528, 506, 2148, 2321, 3794, 236764, 532, 564, 236789, 236753, 1133, 531, 5571, 39252, 1913, 3262, 5527, 4749, 600, 2473, 4208, 910, 3213, 236761, 28344, 611, 12270, 506, 5527, 14626, 573, 506, 3640, 4184, 532, 9405, 699, 5213, 27403, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 531, 5213, 36022, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 236881, 564, 1461, 531, 1460, 1494, 236772, 62580, 4749, 1133, 6082, 4856, 13721, 236764, 27828, 25282, 236764, 532, 11155, 7248, 236761, 9996, 2889, 506, 1262, 5132, 1800, 4808, 532, 563, 24271, 684, 1724, 4100, 4535, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 14801, 1083, 623, 3118, 827, 623, 3250, 1083, 623, 50797, 21616, 21632, 25870, 40954, 827, 623, 62422, 1083, 236743, 236800, 236764, 623, 20055, 1083, 623, 236810, 236761, 236778, 236810, 70887, 623, 52511, 1083, 623, 236810, 236761, 236778, 236810, 70887, 623, 32136, 1083, 623, 236810, 236761, 236810, 236771, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 14801, 1083, 623, 4070, 827, 623, 3250, 1083, 623, 51423, 27828, 216670, 827, 623, 62422, 1083, 236743, 236778, 236764, 623, 20055, 1083, 623, 236771, 236761, 236812, 70887, 623, 52511, 1083, 623, 236771, 236761, 236800, 70887, 623, 32136, 1083, 9296, 236771, 236761, 236770, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 14801, 1083, 623, 3118, 827, 623, 3250, 1083, 623, 14042, 236772, 62529, 44141, 14376, 827, 623, 62422, 1083, 236743, 236800, 236764, 623, 20055, 1083, 10955, 236778, 236770, 236810, 236855, 827, 623, 52511, 1083, 10955, 236770, 236819, 236771, 236855, 827, 623, 32136, 1083, 10955, 236770, 236828, 236819, 236855, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 14801, 1083, 623, 4070, 827, 623, 3250, 1083, 623, 5856, 236799, 67091, 12329, 25402, 827, 623, 62422, 1083, 236743, 236800, 236764, 623, 13308, 1083, 623, 13891, 9232, 657, 236743, 236770, 236812, 236787, 236800, 236771, 128695, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 14801, 1083, 623, 3118, 827, 623, 3250, 1083, 623, 3118, 43499, 16234, 7945, 236792, 827, 623, 62422, 1083, 236743, 236778, 236764, 623, 20055, 1083, 623, 236771, 236761, 236828, 70887, 623, 52511, 1083, 623, 236771, 236761, 236810, 70887, 623, 32136, 1083, 9296, 236771, 236761, 236770, 236908, 25938, 1604, 623, 7655, 1083, 3714, 27617, 236779, 5521, 1083, 623, 38556, 827, 623, 109654, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 5527, 14626, 573, 506, 749, 236761, 236773, 236761, 532, 9405, 1534, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 532, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 24271, 573, 1494, 236772, 62580, 4749, 236787, 108, 7243, 108, 10354, 5213, 3503, 16875, 31698, 1018, 107, 236770, 236761, 5213, 27403, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 568, 3118, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 9852, 21616, 21632, 25870, 40954, 138, 107, 139, 236772, 5213, 177389, 66515, 4819, 568, 236800, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 25870, 4893, 657, 236743, 236770, 236812, 236787, 236771, 236771, 20157, 236764, 6641, 684, 2686, 9232, 236761, 51810, 11082, 9434, 12117, 531, 21714, 4957, 24637, 236761, 108, 236778, 236761, 5213, 27403, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 34692, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 9115, 27828, 216670, 138, 107, 139, 236772, 5213, 177389, 66515, 35202, 568, 236778, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 78341, 5527, 3877, 236761, 49911, 236787, 236743, 236771, 236761, 236812, 236908, 568, 52511, 236787, 236743, 236771, 236761, 236800, 37507, 108, 236800, 236761, 5213, 30211, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 568, 3118, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 10645, 236772, 62529, 44141, 14376, 138, 107, 139, 236772, 5213, 177389, 66515, 4819, 568, 236800, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 43669, 6138, 2436, 21986, 236761, 49911, 236787, 900, 236778, 236770, 236810, 236855, 568, 52511, 236787, 900, 236770, 236819, 236771, 236855, 769, 108, 236812, 236761, 5213, 30902, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 568, 34692, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 111358, 67091, 12329, 25402, 138, 107, 139, 236772, 5213, 177389, 66515, 4819, 568, 236800, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 12329, 20394, 657, 236743, 236832, 236787, 236812, 236810, 8151, 128695, 236764, 2686, 9232, 657, 236743, 236770, 236812, 236787, 236800, 236771, 128695, 236761, 108, 236810, 236761, 5213, 36022, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 568, 3118, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 2590, 43499, 16234, 7945, 236792, 138, 107, 139, 236772, 5213, 177389, 66515, 35202, 568, 236778, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 78341, 11713, 11704, 236761, 49911, 236787, 236743, 236771, 236761, 236828, 236908, 568, 52511, 236787, 236743, 236771, 236761, 236810, 37507, 108, 7243, 108, 10354, 5213, 201430, 573, 153025, 1018, 107, 236772, 5213, 77499, 66515, 138, 107, 138, 236772, 5213, 27403, 236743, 236770, 236778, 568, 3118, 21714, 25402, 62902, 236787, 4819, 2436, 43866, 4275, 236761, 138, 107, 138, 236772, 5213, 30211, 236743, 236810, 568, 3118, 40678, 8708, 62902, 236787, 18787, 2436, 236772, 41831, 1262, 5588, 236761, 138, 107, 138, 236772, 5213, 30902, 236743, 236770, 568, 5856, 236799, 25402, 62902, 236787, 12329, 9886, 1451, 4100, 16152, 13873, 532, 4185, 9766, 236761, 138, 108, 236772, 5213, 142480, 607, 168904, 66515, 138, 107, 138, 236772, 5213, 27403, 236743, 236778, 236828, 568, 51423, 27828, 62902, 532, 5213, 36022, 236743, 236770, 236810, 568, 109799, 16234, 62902, 236787, 26959, 4100, 840, 1451, 2036, 7630, 4430, 27078, 236761, 108, 236772, 5213, 116153, 7993, 66515, 138, 107, 138, 236772, 35588, 5142, 568, 3274, 236772, 27403, 236743, 236770, 236778, 779, 5453, 236772, 30211, 568, 3274, 236772, 30211, 236743, 236810, 779, 532, 1346, 529, 5857, 568, 15849, 5110, 236743, 236770, 236810, 769, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 3671, 653, 30981, 531, 506, 14626, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 1070, 4867, 31100, 14845, 573, 1041, 7391, 528, 506, 2148, 2321, 3794, 236764, 532, 564, 236789, 236753, 1133, 531, 5571, 39252, 1913, 3262, 5527, 4749, 600, 2473, 4208, 910, 3213, 236761, 28344, 611, 12270, 506, 5527, 14626, 573, 506, 3640, 4184, 532, 9405, 699, 5213, 27403, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 531, 5213, 36022, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 236881, 564, 1461, 531, 1460, 1494, 236772, 62580, 4749, 1133, 6082, 4856, 13721, 236764, 27828, 25282, 236764, 532, 11155, 7248, 236761, 9996, 2889, 506, 1262, 5132, 1800, 4808, 532, 563, 24271, 684, 1724, 4100, 4535, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 14801, 1083, 623, 3118, 827, 623, 3250, 1083, 623, 50797, 21616, 21632, 25870, 40954, 827, 623, 62422, 1083, 236743, 236800, 236764, 623, 20055, 1083, 623, 236810, 236761, 236778, 236810, 70887, 623, 52511, 1083, 623, 236810, 236761, 236778, 236810, 70887, 623, 32136, 1083, 623, 236810, 236761, 236810, 236771, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 14801, 1083, 623, 4070, 827, 623, 3250, 1083, 623, 51423, 27828, 216670, 827, 623, 62422, 1083, 236743, 236778, 236764, 623, 20055, 1083, 623, 236771, 236761, 236812, 70887, 623, 52511, 1083, 623, 236771, 236761, 236800, 70887, 623, 32136, 1083, 9296, 236771, 236761, 236770, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 14801, 1083, 623, 3118, 827, 623, 3250, 1083, 623, 14042, 236772, 62529, 44141, 14376, 827, 623, 62422, 1083, 236743, 236800, 236764, 623, 20055, 1083, 10955, 236778, 236770, 236810, 236855, 827, 623, 52511, 1083, 10955, 236770, 236819, 236771, 236855, 827, 623, 32136, 1083, 10955, 236770, 236828, 236819, 236855, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 14801, 1083, 623, 4070, 827, 623, 3250, 1083, 623, 5856, 236799, 67091, 12329, 25402, 827, 623, 62422, 1083, 236743, 236800, 236764, 623, 13308, 1083, 623, 13891, 9232, 657, 236743, 236770, 236812, 236787, 236800, 236771, 128695, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 14801, 1083, 623, 3118, 827, 623, 3250, 1083, 623, 3118, 43499, 16234, 7945, 236792, 827, 623, 62422, 1083, 236743, 236778, 236764, 623, 20055, 1083, 623, 236771, 236761, 236828, 70887, 623, 52511, 1083, 623, 236771, 236761, 236810, 70887, 623, 32136, 1083, 9296, 236771, 236761, 236770, 236908, 25938, 1604, 623, 7655, 1083, 3714, 27617, 236779, 5521, 1083, 623, 38556, 827, 623, 109654, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 5527, 14626, 573, 506, 749, 236761, 236773, 236761, 532, 9405, 1534, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 532, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 24271, 573, 1494, 236772, 62580, 4749, 236787, 108, 7243, 108, 10354, 5213, 3503, 16875, 31698, 1018, 107, 236770, 236761, 5213, 27403, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 568, 3118, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 9852, 21616, 21632, 25870, 40954, 138, 107, 139, 236772, 5213, 177389, 66515, 4819, 568, 236800, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 25870, 4893, 657, 236743, 236770, 236812, 236787, 236771, 236771, 20157, 236764, 6641, 684, 2686, 9232, 236761, 51810, 11082, 9434, 12117, 531, 21714, 4957, 24637, 236761, 108, 236778, 236761, 5213, 27403, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 34692, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 9115, 27828, 216670, 138, 107, 139, 236772, 5213, 177389, 66515, 35202, 568, 236778, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 78341, 5527, 3877, 236761, 49911, 236787, 236743, 236771, 236761, 236812, 236908, 568, 52511, 236787, 236743, 236771, 236761, 236800, 37507, 108, 236800, 236761, 5213, 30211, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 568, 3118, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 10645, 236772, 62529, 44141, 14376, 138, 107, 139, 236772, 5213, 177389, 66515, 4819, 568, 236800, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 43669, 6138, 2436, 21986, 236761, 49911, 236787, 900, 236778, 236770, 236810, 236855, 568, 52511, 236787, 900, 236770, 236819, 236771, 236855, 769, 108, 236812, 236761, 5213, 30902, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 568, 34692, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 111358, 67091, 12329, 25402, 138, 107, 139, 236772, 5213, 177389, 66515, 4819, 568, 236800, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 12329, 20394, 657, 236743, 236832, 236787, 236812, 236810, 8151, 128695, 236764, 2686, 9232, 657, 236743, 236770, 236812, 236787, 236800, 236771, 128695, 236761, 108, 236810, 236761, 5213, 36022, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 568, 3118, 62902, 138, 107, 139, 236772, 5213, 3500, 66515, 2590, 43499, 16234, 7945, 236792, 138, 107, 139, 236772, 5213, 177389, 66515, 35202, 568, 236778, 236786, 236800, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 78341, 11713, 11704, 236761, 49911, 236787, 236743, 236771, 236761, 236828, 236908, 568, 52511, 236787, 236743, 236771, 236761, 236810, 37507, 108, 7243, 108, 10354, 5213, 201430, 573, 153025, 1018, 107, 236772, 5213, 77499, 66515, 138, 107, 138, 236772, 5213, 27403, 236743, 236770, 236778, 568, 3118, 21714, 25402, 62902, 236787, 4819, 2436, 43866, 4275, 236761, 138, 107, 138, 236772, 5213, 30211, 236743, 236810, 568, 3118, 40678, 8708, 62902, 236787, 18787, 2436, 236772, 41831, 1262, 5588, 236761, 138, 107, 138, 236772, 5213, 30902, 236743, 236770, 568, 5856, 236799, 25402, 62902, 236787, 12329, 9886, 1451, 4100, 16152, 13873, 532, 4185, 9766, 236761, 138, 108, 236772, 5213, 142480, 607, 168904, 66515, 138, 107, 138, 236772, 5213, 27403, 236743, 236778, 236828, 568, 51423, 27828, 62902, 532, 5213, 36022, 236743, 236770, 236810, 568, 109799, 16234, 62902, 236787, 26959, 4100, 840, 1451, 2036, 7630, 4430, 27078, 236761, 108, 236772, 5213, 116153, 7993, 66515, 138, 107, 138, 236772, 35588, 5142, 568, 3274, 236772, 27403, 236743, 236770, 236778, 779, 5453, 236772, 30211, 568, 3274, 236772, 30211, 236743, 236810, 779, 532, 1346, 529, 5857, 568, 15849, 5110, 236743, 236770, 236810, 769, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 3671, 653, 30981, 531, 506, 14626, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 8159, 21637, 63611, 528, 17850, 531, 11327, 3435, 33000, 573, 1041, 3399, 1610, 15707, 236761, 28344, 611, 3927, 573, 7798, 63611, 1699, 506, 1941, 623, 100320, 21637, 63611, 51653, 564, 236789, 236753, 1133, 531, 1460, 768, 993, 659, 2263, 7974, 5769, 4083, 653, 6540, 1451, 30463, 1610, 30427, 653, 31877, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 100320, 11849, 9654, 827, 623, 2084, 1083, 623, 35734, 143829, 9654, 827, 623, 7125, 1083, 623, 36043, 17850, 827, 623, 68925, 1083, 236743, 236828, 236764, 623, 71560, 1083, 236743, 236770, 236819, 236819, 236771, 236764, 623, 2217, 742, 236779, 68925, 1083, 11058, 10423, 6900, 50685, 15942, 585, 827, 623, 133882, 1108, 214884, 827, 623, 13743, 3593, 83671, 22335, 152254, 3714, 1201, 1083, 623, 36043, 17850, 56433, 9654, 827, 623, 2084, 1083, 623, 6700, 14119, 34606, 9654, 827, 623, 7125, 1083, 623, 112231, 6183, 236772, 236836, 10370, 1925, 14133, 827, 623, 68925, 1083, 236743, 236770, 236778, 236764, 623, 71560, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 2217, 742, 236779, 68925, 1083, 11058, 112231, 6183, 94922, 5836, 827, 623, 236836, 10370, 1925, 40520, 182322, 827, 623, 23969, 6914, 84826, 152254, 3714, 1201, 1083, 623, 49548, 32758, 56433, 9654, 827, 623, 2084, 1083, 623, 66057, 26700, 8236, 9654, 827, 623, 7125, 1083, 623, 49548, 5375, 45091, 827, 623, 68925, 1083, 236743, 236770, 236825, 236764, 623, 71560, 1083, 236743, 236778, 236771, 236771, 236800, 236764, 623, 2217, 742, 236779, 68925, 1083, 11058, 25907, 10958, 76942, 827, 623, 23425, 19222, 127345, 827, 623, 20163, 5375, 45091, 51381, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 65141, 524, 236779, 4874, 236779, 25438, 1083, 11058, 11431, 15284, 52508, 573, 11403, 7760, 827, 623, 80182, 2434, 54949, 573, 3435, 1610, 19717, 22888, 827, 623, 902, 16082, 1003, 2460, 54257, 17489, 573, 3399, 4749, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 21637, 63611, 564, 1765, 528, 17850, 600, 1451, 2729, 11403, 7760, 573, 822, 3399, 1610, 15707, 236787, 108, 236770, 236761, 5213, 100320, 11849, 9654, 1018, 138, 107, 139, 236772, 9250, 236787, 18943, 143829, 9654, 138, 107, 139, 236772, 21617, 236787, 8870, 17850, 138, 107, 139, 236772, 46001, 236787, 236743, 236828, 568, 236744, 236761, 236759, 1126, 177648, 50685, 15942, 585, 236764, 123987, 214884, 236768, 138, 107, 139, 236772, 84225, 236787, 236743, 236770, 236819, 236819, 236771, 138, 107, 139, 236772, 808, 104884, 7275, 63508, 143829, 8568, 6540, 236764, 10969, 2434, 71892, 1498, 236764, 532, 28594, 22888, 236761, 108, 236778, 236761, 5213, 36043, 17850, 56433, 9654, 1018, 138, 107, 139, 236772, 9250, 236787, 126991, 34606, 9654, 138, 107, 139, 236772, 21617, 236787, 234790, 236772, 236836, 10370, 1925, 14133, 138, 107, 139, 236772, 46001, 236787, 236743, 236770, 236778, 568, 236744, 236761, 236759, 1126, 234790, 94922, 5836, 236764, 127099, 40520, 182322, 236768, 138, 107, 139, 236772, 84225, 236787, 236743, 236770, 236819, 236825, 236810, 138, 107, 139, 236772, 808, 104884, 7275, 63508, 8099, 236772, 8389, 3399, 28968, 236764, 2263, 2434, 54949, 236764, 532, 82158, 8568, 1610, 236761, 108, 236800, 236761, 5213, 49548, 32758, 56433, 9654, 1018, 138, 107, 139, 236772, 9250, 236787, 26762, 26700, 8236, 9654, 138, 107, 139, 236772, 21617, 236787, 10561, 5375, 45091, 138, 107, 139, 236772, 46001, 236787, 236743, 236770, 236825, 568, 236744, 236761, 236759, 1126, 40775, 76942, 236764, 4257, 19222, 127345, 236768, 138, 107, 139, 236772, 84225, 236787, 236743, 236778, 236771, 236771, 236800, 138, 107, 139, 236772, 808, 104884, 7275, 63508, 26700, 15154, 236764, 11321, 8568, 6540, 236764, 532, 31877, 30918, 5699, 236761, 108, 1018, 9272, 50228, 573, 118836, 66515, 138, 107, 236772, 76217, 855, 531, 15284, 52508, 568, 11607, 8283, 2487, 4323, 15284, 17909, 236768, 531, 3249, 54257, 653, 2460, 67529, 236761, 138, 107, 236772, 46071, 2434, 54949, 568, 236744, 236761, 236759, 1126, 506, 236743, 236810, 236828, 236772, 3704, 236772, 947, 8870, 17850, 9654, 236768, 573, 11285, 236772, 68122, 30427, 653, 16348, 4083, 5699, 236761, 138, 107, 236772, 1255, 3518, 2198, 236772, 1048, 1610, 4749, 657, 15284, 4972, 653, 2619, 2434, 236772, 52728, 1610, 35490, 573, 822, 15707, 236761, 138, 108, 38786, 611, 1133, 1601, 68657, 43285, 11298, 653, 32316, 19276, 1131, 3530, 7974, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1451, 611, 33205, 9813, 1938, 1003, 506, 8870, 17850, 56433, 9654, 1699, 506, 808, 519, 582, 2370, 183602, 236829, 5904, 236881, 564, 236858, 236753, 1133, 531, 11327, 910, 2434, 54949, 236764, 1873, 90915, 236764, 532, 1027, 24786, 4749, 653, 28968, 600, 1451, 30463, 31877, 1610, 5699, 653, 30427, 236761, 1174, 795, 1601, 786, 49523, 1041, 43285, 531, 8357, 1217, 506, 15707, 740, 17159, 910, 22327, 532, 3399, 4100, 1343, 7426, 54491, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50001, 547, 1083, 236743, 236770, 236771, 236778, 236812, 236832, 236764, 623, 80043, 236779, 1201, 1083, 623, 36043, 17850, 56433, 9654, 827, 623, 48231, 236779, 3704, 1083, 236743, 236770, 236819, 236828, 236810, 236764, 623, 68925, 1083, 78493, 1201, 1083, 623, 13743, 3593, 211504, 9964, 827, 623, 71560, 1083, 236743, 236770, 236819, 236819, 236778, 236764, 623, 540, 13419, 1083, 623, 119978, 12219, 827, 623, 20828, 1083, 623, 27359, 30641, 23179, 3714, 1201, 1083, 623, 10423, 6900, 7940, 183962, 827, 623, 71560, 1083, 236743, 236778, 236771, 236771, 236770, 236764, 623, 540, 13419, 1083, 623, 194618, 754, 4556, 827, 623, 20828, 1083, 623, 60526, 75524, 25938, 1604, 623, 4002, 236779, 2244, 1013, 1083, 3714, 13743, 3593, 211504, 9964, 1083, 3714, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236832, 236800, 236800, 1263, 623, 10423, 6900, 7940, 183962, 1083, 3714, 76339, 1083, 236743, 236770, 236828, 236764, 623, 74718, 1083, 236743, 236770, 236778, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 5237, 623, 2217, 742, 236779, 18582, 1083, 11058, 68051, 19862, 49515, 27847, 51544, 568, 25142, 236743, 236770, 236819, 236819, 236828, 22730, 623, 117676, 17065, 77021, 15895, 568, 27881, 5505, 22730, 623, 46640, 12219, 6156, 607, 2263, 10974, 63611, 14255, 623, 68615, 2020, 1083, 623, 62627, 4253, 496, 756, 236794, 3396, 824, 13444, 236789, 1546, 5729, 18482, 52705, 4972, 532, 21811, 170047, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 529, 506, 5213, 36043, 17850, 56433, 9654, 1018, 568, 201163, 5853, 236787, 236743, 236770, 236771, 236778, 236812, 236832, 236768, 531, 1573, 822, 11403, 7545, 236787, 108, 7243, 108, 10354, 5213, 77763, 41959, 1018, 138, 107, 236772, 5213, 79210, 66515, 236743, 236770, 236819, 236828, 236810, 138, 107, 236772, 5213, 62627, 66515, 138, 107, 138, 236770, 236761, 5213, 13743, 3593, 211504, 9964, 1018, 568, 236770, 236819, 236819, 236778, 236768, 138, 107, 141, 236772, 24933, 236787, 26123, 12219, 138, 107, 141, 236772, 12062, 236787, 7502, 30641, 138, 107, 141, 236772, 14040, 8383, 1013, 236787, 236743, 236778, 236778, 18779, 236764, 236743, 236828, 14672, 60248, 236832, 236800, 236800, 3345, 3136, 236768, 138, 107, 138, 236778, 236761, 5213, 10423, 6900, 7940, 183962, 1018, 568, 236778, 236771, 236771, 236770, 236768, 138, 107, 141, 236772, 24933, 236787, 70511, 4556, 138, 107, 141, 236772, 12062, 236787, 17015, 75524, 138, 107, 141, 236772, 14040, 8383, 1013, 236787, 236743, 236770, 236828, 18779, 236764, 236743, 236770, 236778, 14672, 60248, 236825, 236771, 236771, 3345, 3136, 236768, 138, 108, 7243, 108, 10354, 5213, 178132, 31698, 833, 198843, 1018, 138, 107, 236770, 236761, 5213, 68051, 19862, 49515, 27847, 51544, 1018, 568, 10081, 236743, 236770, 236819, 236819, 236828, 236768, 138, 107, 139, 236772, 808, 232944, 63508, 8600, 496, 3605, 529, 90993, 28448, 506, 18006, 236789, 236751, 4083, 236764, 22799, 13144, 236764, 653, 10969, 15078, 22888, 236761, 138, 108, 236778, 236761, 5213, 117676, 17065, 77021, 15895, 1018, 568, 30211, 236768, 138, 107, 139, 236772, 808, 232944, 63508, 200607, 580, 496, 16855, 3605, 653, 16348, 4083, 2203, 18482, 21136, 5484, 236764, 33481, 607, 30427, 529, 11285, 64837, 236786, 138953, 123925, 236761, 138, 108, 236800, 236761, 5213, 46640, 12219, 6156, 1018, 138, 107, 139, 236772, 808, 232944, 63508, 23949, 21931, 1610, 28023, 573, 10974, 1913, 672, 2460, 236764, 1699, 21637, 236772, 52728, 5417, 568, 236744, 236761, 236759, 1126, 40399, 43512, 236786, 5622, 47852, 573, 58435, 769, 138, 108, 236812, 236761, 5213, 236794, 3396, 824, 13444, 1018, 568, 30902, 236768, 138, 107, 139, 236772, 808, 232944, 63508, 6881, 130235, 653, 35490, 600, 40878, 12203, 506, 13128, 7304, 529, 506, 53510, 211504, 9964, 7728, 236761, 177648, 7940, 183962, 72990, 236761, 138, 108, 7243, 108, 10354, 5213, 9175, 3316, 137944, 531, 46071, 1018, 138, 107, 236772, 5213, 100368, 66515, 26123, 12219, 568, 13743, 3593, 236768, 532, 70511, 4556, 568, 10423, 6900, 236768, 1451, 30463, 10092, 1610, 653, 29353, 236772, 41889, 15491, 236761, 138, 107, 236772, 5213, 111534, 66515, 669, 15284, 236858, 236751, 13023, 236772, 8819, 22064, 568, 13743, 3593, 236858, 236751, 5279, 14546, 7728, 236761, 177648, 236858, 236751, 8459, 4083, 236768, 5469, 8326, 54491, 3435, 236761, 138, 107, 236772, 5213, 46640, 27938, 66515, 118189, 506, 15284, 236858, 236751, 3853, 528, 74681, 2263, 10592, 532, 28968, 1343, 9726, 236772, 10494, 30427, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 573, 98916, 1018, 138, 107, 236772, 1255, 3518, 496, 5213, 236775, 176579, 833, 48257, 124288, 236775, 11403, 1018, 531, 506, 15284, 37379, 236764, 9722, 236787, 138, 107, 138, 236772, 11400, 236772, 1048, 1610, 54828, 657, 19862, 49515, 27847, 4972, 236761, 138, 107, 138, 236772, 562, 26644, 19717, 580, 15284, 4083, 657, 822, 15707, 236761, 138, 107, 138, 236772, 112200, 1610, 5699, 607, 5484, 236786, 149267, 7974, 1913, 164754, 824, 13444, 236761, 138, 107, 236772, 16499, 3662, 4889, 573, 2434, 16810, 568, 27359, 30641, 236786, 60526, 75524, 236768, 531, 3249, 206342, 653, 4155, 51255, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 11403, 15523, 653, 32316, 19276, 1131, 3530, 2434, 54949, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1451, 611, 33205, 506, 5213, 10618, 16213, 1018, 573, 506, 8870, 17850, 56433, 9654, 236789, 236751, 5213, 59519, 49515, 27847, 51544, 1018, 532, 506, 5213, 14992, 11920, 3304, 1018, 573, 1800, 506, 5213, 13743, 3593, 211504, 9964, 1018, 532, 5213, 10423, 6900, 7940, 183962, 1018, 236881, 24246, 236751, 1133, 1239, 1093, 1601, 786, 1702, 42527, 5417, 573, 506, 623, 176579, 833, 48257, 124288, 236775, 11403, 532, 30463, 20431, 600, 119636, 607, 506, 15284, 236858, 236751, 9834, 236761, 1637, 506, 19862, 49515, 27847, 4038, 236858, 236745, 735, 496, 3530, 8134, 236764, 1451, 611, 3600, 614, 9302, 7426, 10065, 1699, 2487, 6436, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16213, 236779, 3304, 1083, 623, 59519, 49515, 27847, 28733, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 36487, 49163, 51076, 236761, 5067, 827, 623, 2164, 236779, 2084, 1083, 623, 78951, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236828, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236825, 236771, 236771, 1263, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11128, 236779, 2084, 1083, 623, 14992, 827, 623, 1201, 1083, 623, 13743, 3593, 211504, 9964, 827, 623, 14992, 11920, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 5412, 3593, 236779, 30948, 9964, 236761, 5067, 827, 623, 80043, 1083, 623, 36043, 17850, 56433, 9654, 827, 623, 10619, 236779, 30400, 30353, 1083, 78493, 1201, 1083, 623, 59519, 49515, 27847, 51544, 827, 623, 10618, 16213, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 27475, 236786, 36487, 236779, 49163, 236779, 51076, 236761, 5067, 236775, 200808, 3714, 11128, 236779, 2084, 1083, 623, 14992, 827, 623, 1201, 1083, 623, 10423, 6900, 7940, 183962, 827, 623, 14992, 11920, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 635, 6900, 236779, 7195, 183962, 236761, 5067, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 7426, 10091, 531, 1894, 822, 623, 176579, 833, 48257, 124288, 236775, 11403, 5417, 236787, 108, 7243, 108, 10354, 5213, 59519, 49515, 27847, 51544, 28733, 1018, 138, 107, 236772, 5213, 1779, 10739, 66515, 870, 18086, 19862, 49515, 27847, 28733, 568, 78951, 65311, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 36487, 49163, 51076, 236761, 5067, 236768, 138, 107, 236772, 5213, 55141, 66515, 236743, 236828, 236771, 236771, 236781, 236825, 236771, 236771, 18033, 138, 107, 236772, 5213, 9008, 42841, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 7243, 108, 10354, 5213, 18373, 167443, 1018, 138, 107, 236770, 236761, 5213, 13743, 3593, 211504, 9964, 1018, 138, 107, 139, 236772, 870, 18086, 32861, 568, 78951, 65311, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 5412, 3593, 236779, 30948, 9964, 236761, 5067, 236768, 138, 108, 236778, 236761, 5213, 10423, 6900, 7940, 183962, 1018, 138, 107, 139, 236772, 870, 18086, 32861, 568, 78951, 65311, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 635, 6900, 236779, 7195, 183962, 236761, 5067, 236768, 138, 108, 7243, 108, 10354, 5213, 17399, 103486, 24118, 1018, 138, 107, 236772, 669, 5213, 59519, 49515, 27847, 1018, 8134, 4065, 496, 34452, 23947, 607, 20749, 59491, 236764, 120022, 607, 506, 15284, 236858, 236751, 15078, 14546, 236761, 138, 107, 236772, 669, 5213, 13743, 3593, 211504, 9964, 1018, 8839, 6178, 16627, 2604, 236772, 624, 236772, 9503, 7913, 607, 496, 21637, 9537, 24508, 607, 496, 26114, 236764, 228116, 6332, 532, 14385, 236761, 138, 107, 236772, 669, 5213, 10423, 6900, 7940, 183962, 1018, 8839, 48110, 496, 8858, 6794, 3759, 532, 33239, 236772, 9503, 33510, 236764, 32427, 910, 142759, 4563, 236761, 138, 108, 2859, 611, 1202, 4767, 62325, 568, 236744, 236761, 236759, 1126, 7616, 51255, 236764, 29353, 6704, 779, 564, 740, 33205, 1724, 1699, 506, 2165, 828, 236779, 20828, 236779, 7763, 236929, 653, 2165, 14992, 13308, 236929, 6436, 236761, 3792, 786, 1281, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 8159, 21637, 63611, 528, 17850, 531, 11327, 3435, 33000, 573, 1041, 3399, 1610, 15707, 236761, 28344, 611, 3927, 573, 7798, 63611, 1699, 506, 1941, 623, 100320, 21637, 63611, 51653, 564, 236789, 236753, 1133, 531, 1460, 768, 993, 659, 2263, 7974, 5769, 4083, 653, 6540, 1451, 30463, 1610, 30427, 653, 31877, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 100320, 11849, 9654, 827, 623, 2084, 1083, 623, 35734, 143829, 9654, 827, 623, 7125, 1083, 623, 36043, 17850, 827, 623, 68925, 1083, 236743, 236828, 236764, 623, 71560, 1083, 236743, 236770, 236819, 236819, 236771, 236764, 623, 2217, 742, 236779, 68925, 1083, 11058, 10423, 6900, 50685, 15942, 585, 827, 623, 133882, 1108, 214884, 827, 623, 13743, 3593, 83671, 22335, 152254, 3714, 1201, 1083, 623, 36043, 17850, 56433, 9654, 827, 623, 2084, 1083, 623, 6700, 14119, 34606, 9654, 827, 623, 7125, 1083, 623, 112231, 6183, 236772, 236836, 10370, 1925, 14133, 827, 623, 68925, 1083, 236743, 236770, 236778, 236764, 623, 71560, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 2217, 742, 236779, 68925, 1083, 11058, 112231, 6183, 94922, 5836, 827, 623, 236836, 10370, 1925, 40520, 182322, 827, 623, 23969, 6914, 84826, 152254, 3714, 1201, 1083, 623, 49548, 32758, 56433, 9654, 827, 623, 2084, 1083, 623, 66057, 26700, 8236, 9654, 827, 623, 7125, 1083, 623, 49548, 5375, 45091, 827, 623, 68925, 1083, 236743, 236770, 236825, 236764, 623, 71560, 1083, 236743, 236778, 236771, 236771, 236800, 236764, 623, 2217, 742, 236779, 68925, 1083, 11058, 25907, 10958, 76942, 827, 623, 23425, 19222, 127345, 827, 623, 20163, 5375, 45091, 51381, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 65141, 524, 236779, 4874, 236779, 25438, 1083, 11058, 11431, 15284, 52508, 573, 11403, 7760, 827, 623, 80182, 2434, 54949, 573, 3435, 1610, 19717, 22888, 827, 623, 902, 16082, 1003, 2460, 54257, 17489, 573, 3399, 4749, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 21637, 63611, 564, 1765, 528, 17850, 600, 1451, 2729, 11403, 7760, 573, 822, 3399, 1610, 15707, 236787, 108, 236770, 236761, 5213, 100320, 11849, 9654, 1018, 138, 107, 139, 236772, 9250, 236787, 18943, 143829, 9654, 138, 107, 139, 236772, 21617, 236787, 8870, 17850, 138, 107, 139, 236772, 46001, 236787, 236743, 236828, 568, 236744, 236761, 236759, 1126, 177648, 50685, 15942, 585, 236764, 123987, 214884, 236768, 138, 107, 139, 236772, 84225, 236787, 236743, 236770, 236819, 236819, 236771, 138, 107, 139, 236772, 808, 104884, 7275, 63508, 143829, 8568, 6540, 236764, 10969, 2434, 71892, 1498, 236764, 532, 28594, 22888, 236761, 108, 236778, 236761, 5213, 36043, 17850, 56433, 9654, 1018, 138, 107, 139, 236772, 9250, 236787, 126991, 34606, 9654, 138, 107, 139, 236772, 21617, 236787, 234790, 236772, 236836, 10370, 1925, 14133, 138, 107, 139, 236772, 46001, 236787, 236743, 236770, 236778, 568, 236744, 236761, 236759, 1126, 234790, 94922, 5836, 236764, 127099, 40520, 182322, 236768, 138, 107, 139, 236772, 84225, 236787, 236743, 236770, 236819, 236825, 236810, 138, 107, 139, 236772, 808, 104884, 7275, 63508, 8099, 236772, 8389, 3399, 28968, 236764, 2263, 2434, 54949, 236764, 532, 82158, 8568, 1610, 236761, 108, 236800, 236761, 5213, 49548, 32758, 56433, 9654, 1018, 138, 107, 139, 236772, 9250, 236787, 26762, 26700, 8236, 9654, 138, 107, 139, 236772, 21617, 236787, 10561, 5375, 45091, 138, 107, 139, 236772, 46001, 236787, 236743, 236770, 236825, 568, 236744, 236761, 236759, 1126, 40775, 76942, 236764, 4257, 19222, 127345, 236768, 138, 107, 139, 236772, 84225, 236787, 236743, 236778, 236771, 236771, 236800, 138, 107, 139, 236772, 808, 104884, 7275, 63508, 26700, 15154, 236764, 11321, 8568, 6540, 236764, 532, 31877, 30918, 5699, 236761, 108, 1018, 9272, 50228, 573, 118836, 66515, 138, 107, 236772, 76217, 855, 531, 15284, 52508, 568, 11607, 8283, 2487, 4323, 15284, 17909, 236768, 531, 3249, 54257, 653, 2460, 67529, 236761, 138, 107, 236772, 46071, 2434, 54949, 568, 236744, 236761, 236759, 1126, 506, 236743, 236810, 236828, 236772, 3704, 236772, 947, 8870, 17850, 9654, 236768, 573, 11285, 236772, 68122, 30427, 653, 16348, 4083, 5699, 236761, 138, 107, 236772, 1255, 3518, 2198, 236772, 1048, 1610, 4749, 657, 15284, 4972, 653, 2619, 2434, 236772, 52728, 1610, 35490, 573, 822, 15707, 236761, 138, 108, 38786, 611, 1133, 1601, 68657, 43285, 11298, 653, 32316, 19276, 1131, 3530, 7974, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1451, 611, 33205, 9813, 1938, 1003, 506, 8870, 17850, 56433, 9654, 1699, 506, 808, 519, 582, 2370, 183602, 236829, 5904, 236881, 564, 236858, 236753, 1133, 531, 11327, 910, 2434, 54949, 236764, 1873, 90915, 236764, 532, 1027, 24786, 4749, 653, 28968, 600, 1451, 30463, 31877, 1610, 5699, 653, 30427, 236761, 1174, 795, 1601, 786, 49523, 1041, 43285, 531, 8357, 1217, 506, 15707, 740, 17159, 910, 22327, 532, 3399, 4100, 1343, 7426, 54491, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50001, 547, 1083, 236743, 236770, 236771, 236778, 236812, 236832, 236764, 623, 80043, 236779, 1201, 1083, 623, 36043, 17850, 56433, 9654, 827, 623, 48231, 236779, 3704, 1083, 236743, 236770, 236819, 236828, 236810, 236764, 623, 68925, 1083, 78493, 1201, 1083, 623, 13743, 3593, 211504, 9964, 827, 623, 71560, 1083, 236743, 236770, 236819, 236819, 236778, 236764, 623, 540, 13419, 1083, 623, 119978, 12219, 827, 623, 20828, 1083, 623, 27359, 30641, 23179, 3714, 1201, 1083, 623, 10423, 6900, 7940, 183962, 827, 623, 71560, 1083, 236743, 236778, 236771, 236771, 236770, 236764, 623, 540, 13419, 1083, 623, 194618, 754, 4556, 827, 623, 20828, 1083, 623, 60526, 75524, 25938, 1604, 623, 4002, 236779, 2244, 1013, 1083, 3714, 13743, 3593, 211504, 9964, 1083, 3714, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236832, 236800, 236800, 1263, 623, 10423, 6900, 7940, 183962, 1083, 3714, 76339, 1083, 236743, 236770, 236828, 236764, 623, 74718, 1083, 236743, 236770, 236778, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 5237, 623, 2217, 742, 236779, 18582, 1083, 11058, 68051, 19862, 49515, 27847, 51544, 568, 25142, 236743, 236770, 236819, 236819, 236828, 22730, 623, 117676, 17065, 77021, 15895, 568, 27881, 5505, 22730, 623, 46640, 12219, 6156, 607, 2263, 10974, 63611, 14255, 623, 68615, 2020, 1083, 623, 62627, 4253, 496, 756, 236794, 3396, 824, 13444, 236789, 1546, 5729, 18482, 52705, 4972, 532, 21811, 170047, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 529, 506, 5213, 36043, 17850, 56433, 9654, 1018, 568, 201163, 5853, 236787, 236743, 236770, 236771, 236778, 236812, 236832, 236768, 531, 1573, 822, 11403, 7545, 236787, 108, 7243, 108, 10354, 5213, 77763, 41959, 1018, 138, 107, 236772, 5213, 79210, 66515, 236743, 236770, 236819, 236828, 236810, 138, 107, 236772, 5213, 62627, 66515, 138, 107, 138, 236770, 236761, 5213, 13743, 3593, 211504, 9964, 1018, 568, 236770, 236819, 236819, 236778, 236768, 138, 107, 141, 236772, 24933, 236787, 26123, 12219, 138, 107, 141, 236772, 12062, 236787, 7502, 30641, 138, 107, 141, 236772, 14040, 8383, 1013, 236787, 236743, 236778, 236778, 18779, 236764, 236743, 236828, 14672, 60248, 236832, 236800, 236800, 3345, 3136, 236768, 138, 107, 138, 236778, 236761, 5213, 10423, 6900, 7940, 183962, 1018, 568, 236778, 236771, 236771, 236770, 236768, 138, 107, 141, 236772, 24933, 236787, 70511, 4556, 138, 107, 141, 236772, 12062, 236787, 17015, 75524, 138, 107, 141, 236772, 14040, 8383, 1013, 236787, 236743, 236770, 236828, 18779, 236764, 236743, 236770, 236778, 14672, 60248, 236825, 236771, 236771, 3345, 3136, 236768, 138, 108, 7243, 108, 10354, 5213, 178132, 31698, 833, 198843, 1018, 138, 107, 236770, 236761, 5213, 68051, 19862, 49515, 27847, 51544, 1018, 568, 10081, 236743, 236770, 236819, 236819, 236828, 236768, 138, 107, 139, 236772, 808, 232944, 63508, 8600, 496, 3605, 529, 90993, 28448, 506, 18006, 236789, 236751, 4083, 236764, 22799, 13144, 236764, 653, 10969, 15078, 22888, 236761, 138, 108, 236778, 236761, 5213, 117676, 17065, 77021, 15895, 1018, 568, 30211, 236768, 138, 107, 139, 236772, 808, 232944, 63508, 200607, 580, 496, 16855, 3605, 653, 16348, 4083, 2203, 18482, 21136, 5484, 236764, 33481, 607, 30427, 529, 11285, 64837, 236786, 138953, 123925, 236761, 138, 108, 236800, 236761, 5213, 46640, 12219, 6156, 1018, 138, 107, 139, 236772, 808, 232944, 63508, 23949, 21931, 1610, 28023, 573, 10974, 1913, 672, 2460, 236764, 1699, 21637, 236772, 52728, 5417, 568, 236744, 236761, 236759, 1126, 40399, 43512, 236786, 5622, 47852, 573, 58435, 769, 138, 108, 236812, 236761, 5213, 236794, 3396, 824, 13444, 1018, 568, 30902, 236768, 138, 107, 139, 236772, 808, 232944, 63508, 6881, 130235, 653, 35490, 600, 40878, 12203, 506, 13128, 7304, 529, 506, 53510, 211504, 9964, 7728, 236761, 177648, 7940, 183962, 72990, 236761, 138, 108, 7243, 108, 10354, 5213, 9175, 3316, 137944, 531, 46071, 1018, 138, 107, 236772, 5213, 100368, 66515, 26123, 12219, 568, 13743, 3593, 236768, 532, 70511, 4556, 568, 10423, 6900, 236768, 1451, 30463, 10092, 1610, 653, 29353, 236772, 41889, 15491, 236761, 138, 107, 236772, 5213, 111534, 66515, 669, 15284, 236858, 236751, 13023, 236772, 8819, 22064, 568, 13743, 3593, 236858, 236751, 5279, 14546, 7728, 236761, 177648, 236858, 236751, 8459, 4083, 236768, 5469, 8326, 54491, 3435, 236761, 138, 107, 236772, 5213, 46640, 27938, 66515, 118189, 506, 15284, 236858, 236751, 3853, 528, 74681, 2263, 10592, 532, 28968, 1343, 9726, 236772, 10494, 30427, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 573, 98916, 1018, 138, 107, 236772, 1255, 3518, 496, 5213, 236775, 176579, 833, 48257, 124288, 236775, 11403, 1018, 531, 506, 15284, 37379, 236764, 9722, 236787, 138, 107, 138, 236772, 11400, 236772, 1048, 1610, 54828, 657, 19862, 49515, 27847, 4972, 236761, 138, 107, 138, 236772, 562, 26644, 19717, 580, 15284, 4083, 657, 822, 15707, 236761, 138, 107, 138, 236772, 112200, 1610, 5699, 607, 5484, 236786, 149267, 7974, 1913, 164754, 824, 13444, 236761, 138, 107, 236772, 16499, 3662, 4889, 573, 2434, 16810, 568, 27359, 30641, 236786, 60526, 75524, 236768, 531, 3249, 206342, 653, 4155, 51255, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 11403, 15523, 653, 32316, 19276, 1131, 3530, 2434, 54949, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1451, 611, 33205, 506, 5213, 10618, 16213, 1018, 573, 506, 8870, 17850, 56433, 9654, 236789, 236751, 5213, 59519, 49515, 27847, 51544, 1018, 532, 506, 5213, 14992, 11920, 3304, 1018, 573, 1800, 506, 5213, 13743, 3593, 211504, 9964, 1018, 532, 5213, 10423, 6900, 7940, 183962, 1018, 236881, 24246, 236751, 1133, 1239, 1093, 1601, 786, 1702, 42527, 5417, 573, 506, 623, 176579, 833, 48257, 124288, 236775, 11403, 532, 30463, 20431, 600, 119636, 607, 506, 15284, 236858, 236751, 9834, 236761, 1637, 506, 19862, 49515, 27847, 4038, 236858, 236745, 735, 496, 3530, 8134, 236764, 1451, 611, 3600, 614, 9302, 7426, 10065, 1699, 2487, 6436, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16213, 236779, 3304, 1083, 623, 59519, 49515, 27847, 28733, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 36487, 49163, 51076, 236761, 5067, 827, 623, 2164, 236779, 2084, 1083, 623, 78951, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236828, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236825, 236771, 236771, 1263, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11128, 236779, 2084, 1083, 623, 14992, 827, 623, 1201, 1083, 623, 13743, 3593, 211504, 9964, 827, 623, 14992, 11920, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 5412, 3593, 236779, 30948, 9964, 236761, 5067, 827, 623, 80043, 1083, 623, 36043, 17850, 56433, 9654, 827, 623, 10619, 236779, 30400, 30353, 1083, 78493, 1201, 1083, 623, 59519, 49515, 27847, 51544, 827, 623, 10618, 16213, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 27475, 236786, 36487, 236779, 49163, 236779, 51076, 236761, 5067, 236775, 200808, 3714, 11128, 236779, 2084, 1083, 623, 14992, 827, 623, 1201, 1083, 623, 10423, 6900, 7940, 183962, 827, 623, 14992, 11920, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 635, 6900, 236779, 7195, 183962, 236761, 5067, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 7426, 10091, 531, 1894, 822, 623, 176579, 833, 48257, 124288, 236775, 11403, 5417, 236787, 108, 7243, 108, 10354, 5213, 59519, 49515, 27847, 51544, 28733, 1018, 138, 107, 236772, 5213, 1779, 10739, 66515, 870, 18086, 19862, 49515, 27847, 28733, 568, 78951, 65311, 2574, 1411, 8358, 236761, 854, 236786, 27475, 236786, 36487, 49163, 51076, 236761, 5067, 236768, 138, 107, 236772, 5213, 55141, 66515, 236743, 236828, 236771, 236771, 236781, 236825, 236771, 236771, 18033, 138, 107, 236772, 5213, 9008, 42841, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 7243, 108, 10354, 5213, 18373, 167443, 1018, 138, 107, 236770, 236761, 5213, 13743, 3593, 211504, 9964, 1018, 138, 107, 139, 236772, 870, 18086, 32861, 568, 78951, 65311, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 5412, 3593, 236779, 30948, 9964, 236761, 5067, 236768, 138, 108, 236778, 236761, 5213, 10423, 6900, 7940, 183962, 1018, 138, 107, 139, 236772, 870, 18086, 32861, 568, 78951, 65311, 2574, 1411, 8358, 236761, 854, 236786, 62372, 236786, 74938, 236786, 635, 6900, 236779, 7195, 183962, 236761, 5067, 236768, 138, 108, 7243, 108, 10354, 5213, 17399, 103486, 24118, 1018, 138, 107, 236772, 669, 5213, 59519, 49515, 27847, 1018, 8134, 4065, 496, 34452, 23947, 607, 20749, 59491, 236764, 120022, 607, 506, 15284, 236858, 236751, 15078, 14546, 236761, 138, 107, 236772, 669, 5213, 13743, 3593, 211504, 9964, 1018, 8839, 6178, 16627, 2604, 236772, 624, 236772, 9503, 7913, 607, 496, 21637, 9537, 24508, 607, 496, 26114, 236764, 228116, 6332, 532, 14385, 236761, 138, 107, 236772, 669, 5213, 10423, 6900, 7940, 183962, 1018, 8839, 48110, 496, 8858, 6794, 3759, 532, 33239, 236772, 9503, 33510, 236764, 32427, 910, 142759, 4563, 236761, 138, 108, 2859, 611, 1202, 4767, 62325, 568, 236744, 236761, 236759, 1126, 7616, 51255, 236764, 29353, 6704, 779, 564, 740, 33205, 1724, 1699, 506, 2165, 828, 236779, 20828, 236779, 7763, 236929, 653, 2165, 14992, 13308, 236929, 6436, 236761, 3792, 786, 1281, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 21811, 15576, 2460, 573, 506, 57778, 10353, 5970, 532, 1202, 1601, 16074, 506, 3892, 4241, 14900, 236761, 564, 1461, 531, 2426, 506, 1873, 192575, 573, 4241, 5853, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 840, 564, 236789, 236757, 711, 2889, 768, 600, 236789, 236751, 506, 4338, 5853, 753, 506, 18006, 6987, 6950, 625, 2473, 735, 6692, 1774, 9641, 236761, 6542, 236764, 768, 506, 4241, 563, 2036, 528, 5609, 236764, 564, 236789, 236753, 1133, 531, 11006, 496, 2214, 236772, 59139, 31481, 531, 4024, 607, 40303, 1056, 52071, 506, 92837, 126260, 236761, 3199, 611, 1601, 786, 607, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10480, 236779, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 4818, 1083, 623, 495, 236779, 16717, 827, 623, 4002, 236779, 26026, 1083, 236743, 236819, 236764, 623, 28544, 1083, 78493, 1201, 1083, 623, 12720, 8943, 827, 623, 8318, 1083, 753, 236800, 1263, 3714, 1201, 1083, 623, 65897, 98881, 827, 623, 8318, 1083, 753, 236770, 104960, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 11355, 1537, 236789, 236745, 110180, 3785, 974, 7445, 236881, 2195, 2462, 8785, 910, 62733, 26818, 41218, 623, 19112, 1083, 11058, 811, 236779, 54263, 827, 623, 67812, 14255, 623, 13126, 1083, 236743, 236828, 236761, 236810, 236764, 623, 3119, 1083, 236743, 236812, 236810, 236764, 623, 547, 1083, 623, 176253, 236779, 236828, 236828, 236832, 236800, 25938, 106, 107, 105, 4368, 107, 818, 4241, 5853, 236743, 236770, 236778, 236800, 236812, 236810, 563, 4341, 532, 506, 2460, 563, 5633, 528, 5609, 580, 12401, 236743, 236819, 236761, 5715, 236789, 236751, 506, 1873, 192575, 236787, 108, 1018, 16249, 18365, 53121, 107, 236772, 60587, 236787, 236743, 236819, 107, 236772, 41392, 236787, 107, 138, 236772, 3415, 8943, 236787, 753, 236800, 107, 138, 236772, 18821, 98881, 236787, 753, 236770, 107, 236772, 11662, 42841, 236787, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 2542, 822, 92837, 126260, 20394, 236764, 1590, 236789, 236751, 496, 15576, 236772, 68122, 31481, 236787, 107, 71510, 11355, 1537, 236789, 236745, 110180, 3785, 974, 7445, 236881, 2195, 2462, 8785, 910, 62733, 26818, 9332, 236829, 236743, 248378, 251425, 108, 38786, 611, 1133, 786, 531, 2426, 573, 1027, 12496, 531, 506, 192575, 653, 2847, 2264, 31481, 12532, 531, 2460, 990, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 21811, 15576, 2460, 573, 506, 57778, 10353, 5970, 532, 1202, 1601, 16074, 506, 3892, 4241, 14900, 236761, 564, 1461, 531, 2426, 506, 1873, 192575, 573, 4241, 5853, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 840, 564, 236789, 236757, 711, 2889, 768, 600, 236789, 236751, 506, 4338, 5853, 753, 506, 18006, 6987, 6950, 625, 2473, 735, 6692, 1774, 9641, 236761, 6542, 236764, 768, 506, 4241, 563, 2036, 528, 5609, 236764, 564, 236789, 236753, 1133, 531, 11006, 496, 2214, 236772, 59139, 31481, 531, 4024, 607, 40303, 1056, 52071, 506, 92837, 126260, 236761, 3199, 611, 1601, 786, 607, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10480, 236779, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 4818, 1083, 623, 495, 236779, 16717, 827, 623, 4002, 236779, 26026, 1083, 236743, 236819, 236764, 623, 28544, 1083, 78493, 1201, 1083, 623, 12720, 8943, 827, 623, 8318, 1083, 753, 236800, 1263, 3714, 1201, 1083, 623, 65897, 98881, 827, 623, 8318, 1083, 753, 236770, 104960, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 11355, 1537, 236789, 236745, 110180, 3785, 974, 7445, 236881, 2195, 2462, 8785, 910, 62733, 26818, 41218, 623, 19112, 1083, 11058, 811, 236779, 54263, 827, 623, 67812, 14255, 623, 13126, 1083, 236743, 236828, 236761, 236810, 236764, 623, 3119, 1083, 236743, 236812, 236810, 236764, 623, 547, 1083, 623, 176253, 236779, 236828, 236828, 236832, 236800, 25938, 106, 107, 105, 4368, 107, 818, 4241, 5853, 236743, 236770, 236778, 236800, 236812, 236810, 563, 4341, 532, 506, 2460, 563, 5633, 528, 5609, 580, 12401, 236743, 236819, 236761, 5715, 236789, 236751, 506, 1873, 192575, 236787, 108, 1018, 16249, 18365, 53121, 107, 236772, 60587, 236787, 236743, 236819, 107, 236772, 41392, 236787, 107, 138, 236772, 3415, 8943, 236787, 753, 236800, 107, 138, 236772, 18821, 98881, 236787, 753, 236770, 107, 236772, 11662, 42841, 236787, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 2542, 822, 92837, 126260, 20394, 236764, 1590, 236789, 236751, 496, 15576, 236772, 68122, 31481, 236787, 107, 71510, 11355, 1537, 236789, 236745, 110180, 3785, 974, 7445, 236881, 2195, 2462, 8785, 910, 62733, 26818, 9332, 236829, 236743, 248378, 251425, 108, 38786, 611, 1133, 786, 531, 2426, 573, 1027, 12496, 531, 506, 192575, 653, 2847, 2264, 31481, 12532, 531, 2460, 990, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 8935, 7946, 531, 3517, 506, 20692, 124929, 13325, 528, 41940, 236789, 508, 2148, 6247, 236761, 564, 236789, 859, 5118, 699, 33400, 568, 5094, 236774, 236768, 532, 1202, 1601, 8159, 236787, 236743, 236770, 236761, 669, 1791, 4886, 236772, 59667, 22344, 699, 235394, 531, 41940, 236789, 508, 568, 4060, 506, 20692, 124929, 13325, 618, 1041, 1689, 12892, 236768, 236743, 236778, 236761, 562, 236743, 236812, 236772, 7991, 8217, 3541, 506, 20692, 124929, 13325, 3432, 236743, 236800, 236761, 562, 5453, 236772, 2086, 20310, 1295, 573, 22260, 506, 2433, 564, 5278, 5597, 22344, 532, 1202, 506, 8217, 531, 735, 580, 236772, 8777, 12660, 236761, 3199, 611, 1586, 3835, 600, 4691, 496, 7715, 529, 609, 236778, 236764, 236810, 236771, 236771, 2558, 573, 22344, 900, 8217, 900, 1295, 20310, 573, 236743, 236832, 2668, 236881, 7323, 1407, 822, 981, 2918, 236772, 2003, 236772, 9340, 236764, 6250, 607, 10224, 15830, 236761, 1637, 1027, 5904, 9139, 5121, 236764, 2056, 9302, 12668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 140323, 236779, 1201, 1083, 623, 46792, 236789, 508, 132059, 37026, 5785, 17526, 827, 623, 127571, 236779, 3970, 1083, 623, 69396, 236874, 827, 623, 13319, 1083, 623, 46792, 236789, 508, 827, 623, 123007, 1083, 623, 42945, 508, 5119, 827, 623, 14801, 1083, 623, 31939, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236812, 236812, 236832, 236810, 236764, 623, 41713, 1083, 236743, 236770, 236771, 236828, 236761, 236828, 236812, 236819, 236812, 1263, 623, 99883, 1083, 623, 53601, 236786, 163718, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 3041, 2543, 1083, 623, 14188, 711, 12659, 528, 5904, 30539, 827, 623, 2060, 3041, 2543, 1083, 623, 14188, 711, 12659, 528, 5904, 30539, 827, 623, 2060, 85464, 9015, 1083, 623, 14188, 711, 12659, 528, 5904, 30539, 236775, 19465, 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, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236770, 236778, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236828, 236819, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236832, 236828, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236770, 236770, 236828, 236761, 236810, 5237, 623, 170282, 1083, 236743, 236770, 236764, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 23179, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236812, 236810, 236825, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236800, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236819, 236778, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236828, 236771, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236770, 236778, 236771, 236761, 236771, 5237, 623, 170282, 1083, 236743, 236770, 236764, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 25938, 1604, 623, 6725, 236779, 8194, 1083, 236743, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 28881, 236779, 103411, 1083, 3714, 113130, 236779, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 95191, 827, 623, 2060, 236779, 113130, 236779, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 95191, 827, 623, 2060, 236779, 46353, 236779, 2289, 1083, 623, 15849, 236743, 236770, 236828, 236787, 236771, 236771, 23179, 623, 51128, 236779, 4818, 1083, 3714, 120177, 236779, 45118, 1083, 236743, 236800, 236825, 236761, 236832, 236764, 623, 54023, 236779, 51128, 1083, 236743, 236770, 236825, 236771, 236770, 236761, 236810, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11128, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236774, 5635, 174666, 827, 623, 7125, 236779, 1999, 1083, 623, 1667, 7405, 827, 623, 1201, 1083, 623, 94465, 124929, 13325, 11109, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236800, 236828, 236812, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236771, 236819, 236761, 236812, 236819, 236828, 236800, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 12103, 1083, 78493, 58657, 236779, 1201, 1083, 623, 94465, 124929, 28917, 12825, 827, 623, 37623, 1083, 236743, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 6725, 236779, 9707, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236812, 236764, 623, 18700, 236779, 10868, 1083, 236743, 236770, 236810, 236764, 623, 22860, 1236, 1083, 3714, 1190, 785, 236779, 67299, 1083, 1847, 236764, 623, 6796, 236779, 132259, 1083, 1847, 236764, 623, 1179, 34627, 236779, 8114, 1083, 1847, 1263, 623, 17178, 236779, 1071, 236779, 59312, 236779, 24434, 1246, 236779, 85775, 1083, 623, 236770, 236761, 236778, 7251, 827, 623, 236755, 47996, 236779, 26286, 1083, 623, 15370, 32735, 3097, 236743, 236778, 236812, 3885, 1680, 2426, 495, 23179, 3714, 58657, 236779, 1201, 1083, 623, 46792, 236789, 508, 7997, 5841, 12825, 827, 623, 37623, 1083, 236743, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236819, 236764, 623, 6725, 236779, 9707, 1083, 236743, 236832, 236832, 236819, 236761, 236819, 236812, 236764, 623, 18700, 236779, 10868, 1083, 236743, 236828, 236764, 623, 22860, 1236, 1083, 3714, 1190, 785, 236779, 67299, 1083, 1847, 236764, 623, 188560, 236779, 11138, 1083, 1847, 236764, 623, 236778, 236812, 236754, 236779, 28438, 88043, 1083, 1847, 1263, 623, 17178, 236779, 1071, 236779, 59312, 236779, 24434, 1246, 236779, 85775, 1083, 623, 236778, 236761, 236828, 7251, 827, 623, 236755, 47996, 236779, 26286, 1083, 623, 14042, 236772, 151140, 25938, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 28881, 236779, 103411, 1083, 3714, 10479, 236779, 2003, 1083, 623, 9707, 827, 623, 7125, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236774, 5635, 174666, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56905, 1083, 623, 87877, 827, 623, 41239, 236779, 8194, 1083, 78493, 2084, 1083, 623, 41210, 236772, 3038, 127704, 827, 623, 4368, 1083, 623, 120803, 169681, 827, 623, 32320, 236779, 4720, 1083, 236743, 236812, 236810, 236761, 236771, 236764, 623, 6725, 236779, 4720, 1083, 236743, 236800, 236770, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 16518, 1083, 11058, 17995, 136229, 827, 623, 52213, 36759, 827, 623, 98054, 14255, 623, 141329, 236779, 42103, 1083, 3714, 69719, 236779, 15979, 1083, 1847, 236764, 623, 69719, 236779, 13304, 1083, 236743, 236770, 236771, 236771, 236761, 236771, 236764, 623, 101436, 236779, 8194, 1083, 11058, 18397, 85406, 827, 623, 13973, 85406, 568, 30766, 236778, 236771, 236786, 1496, 236768, 14255, 623, 6796, 236779, 236755, 47996, 1083, 1847, 1807, 1604, 623, 83625, 236779, 7125, 1083, 3714, 547, 1083, 623, 69396, 236874, 827, 623, 7720, 1083, 623, 46792, 236789, 508, 132059, 37026, 5785, 17526, 3331, 79671, 6022, 827, 623, 24392, 1083, 623, 236771, 236828, 236787, 236771, 236771, 236772, 236778, 236778, 236787, 236771, 236771, 18245, 23179, 623, 6725, 236779, 86211, 236779, 7284, 3843, 1083, 3714, 5521, 236779, 141329, 1083, 236743, 236800, 236770, 236810, 236761, 236771, 236764, 623, 85512, 236779, 136702, 1083, 236743, 236800, 236810, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236800, 236810, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 61823, 236779, 30449, 1083, 623, 6459, 236917, 236772, 236778, 236771, 236778, 236812, 236771, 236812, 236771, 236778, 236772, 236832, 236828, 236819, 25938, 106, 107, 105, 4368, 107, 1018, 5471, 236772, 2003, 236772, 5471, 17172, 9620, 573, 20692, 124929, 13325, 26922, 1018, 108, 1018, 236770, 236761, 30970, 28636, 568, 5094, 236774, 16130, 41725, 62902, 138, 107, 1018, 14945, 19993, 53121, 138, 107, 236772, 5213, 151918, 53121, 3668, 37403, 23952, 236770, 236778, 236800, 138, 107, 236772, 5213, 125489, 53121, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236771, 236828, 236787, 236770, 236810, 8151, 236768, 138, 107, 236772, 5213, 91011, 53121, 5365, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236770, 236770, 236787, 236800, 236771, 8151, 236768, 138, 107, 236772, 5213, 13293, 53121, 5365, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236771, 236819, 236787, 236812, 236810, 8151, 27197, 236764, 236743, 236770, 236778, 236787, 236810, 236810, 8711, 16257, 236768, 138, 107, 236772, 5213, 11280, 53121, 609, 236828, 236819, 236828, 236761, 236810, 236771, 568, 178131, 236764, 236743, 236770, 4721, 236768, 138, 107, 236772, 5213, 71653, 42056, 53121, 236743, 236800, 236825, 236761, 236832, 236908, 138, 108, 1018, 236778, 236761, 12825, 111506, 1018, 138, 107, 1018, 94465, 124929, 28917, 12825, 1018, 138, 107, 236772, 5213, 236797, 4821, 53121, 236743, 236825, 568, 30651, 236743, 236778, 236964, 236828, 236768, 138, 107, 236772, 5213, 21796, 53121, 609, 236770, 236812, 236819, 236761, 236819, 236819, 236786, 9467, 16130, 5213, 9640, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236812, 1018, 138, 107, 236772, 5213, 200017, 53121, 2154, 236772, 8777, 12660, 236764, 2196, 13932, 236764, 51320, 531, 3432, 138, 107, 236772, 5213, 23258, 53121, 236743, 236770, 236761, 236778, 7251, 699, 20692, 124929, 13325, 11109, 138, 108, 1018, 236800, 236761, 3331, 79671, 1018, 138, 107, 1018, 120803, 169681, 568, 41210, 236772, 3038, 62902, 138, 107, 236772, 5213, 217277, 53121, 5365, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236770, 236778, 236787, 236771, 236771, 8711, 236768, 657, 39429, 236874, 17526, 138, 107, 236772, 5213, 13293, 53121, 5365, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236770, 236771, 236787, 236771, 236771, 8151, 236768, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236800, 236810, 236771, 568, 22239, 14171, 236764, 6079, 8657, 236768, 138, 107, 236772, 5213, 103990, 53121, 609, 236770, 236771, 236771, 568, 151140, 236768, 138, 108, 1018, 9640, 93550, 11117, 53121, 138, 107, 236772, 5213, 224240, 53121, 609, 236828, 236819, 236828, 236761, 236810, 236771, 138, 107, 236772, 5213, 54347, 53121, 609, 236828, 236819, 236819, 236761, 236819, 236812, 138, 107, 236772, 5213, 9767, 53121, 609, 236800, 236810, 236771, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 53121, 5213, 236795, 236778, 236764, 236770, 236812, 236828, 236761, 236812, 236812, 1018, 138, 107, 236772, 5213, 91237, 29125, 53121, 609, 236800, 236810, 236770, 236761, 236810, 236825, 568, 1708, 18917, 236764, 7234, 12412, 236764, 4044, 2907, 138, 108, 1018, 26253, 53121, 138, 107, 236772, 2343, 3835, 4691, 2351, 506, 609, 236778, 236764, 236810, 236771, 236771, 7715, 236761, 138, 107, 236772, 12825, 5469, 2196, 32735, 3097, 236743, 236778, 236812, 3885, 1680, 2426, 236772, 495, 236761, 138, 107, 236772, 3331, 20310, 5132, 28887, 532, 27227, 573, 17042, 236761, 138, 107, 236772, 115058, 3204, 5597, 97200, 236786, 15072, 618, 15633, 236761, 138, 108, 38786, 611, 1133, 531, 7162, 607, 22479, 10686, 573, 1027, 529, 1239, 3835, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 8935, 7946, 531, 3517, 506, 20692, 124929, 13325, 528, 41940, 236789, 508, 2148, 6247, 236761, 564, 236789, 859, 5118, 699, 33400, 568, 5094, 236774, 236768, 532, 1202, 1601, 8159, 236787, 236743, 236770, 236761, 669, 1791, 4886, 236772, 59667, 22344, 699, 235394, 531, 41940, 236789, 508, 568, 4060, 506, 20692, 124929, 13325, 618, 1041, 1689, 12892, 236768, 236743, 236778, 236761, 562, 236743, 236812, 236772, 7991, 8217, 3541, 506, 20692, 124929, 13325, 3432, 236743, 236800, 236761, 562, 5453, 236772, 2086, 20310, 1295, 573, 22260, 506, 2433, 564, 5278, 5597, 22344, 532, 1202, 506, 8217, 531, 735, 580, 236772, 8777, 12660, 236761, 3199, 611, 1586, 3835, 600, 4691, 496, 7715, 529, 609, 236778, 236764, 236810, 236771, 236771, 2558, 573, 22344, 900, 8217, 900, 1295, 20310, 573, 236743, 236832, 2668, 236881, 7323, 1407, 822, 981, 2918, 236772, 2003, 236772, 9340, 236764, 6250, 607, 10224, 15830, 236761, 1637, 1027, 5904, 9139, 5121, 236764, 2056, 9302, 12668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 140323, 236779, 1201, 1083, 623, 46792, 236789, 508, 132059, 37026, 5785, 17526, 827, 623, 127571, 236779, 3970, 1083, 623, 69396, 236874, 827, 623, 13319, 1083, 623, 46792, 236789, 508, 827, 623, 123007, 1083, 623, 42945, 508, 5119, 827, 623, 14801, 1083, 623, 31939, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236812, 236812, 236832, 236810, 236764, 623, 41713, 1083, 236743, 236770, 236771, 236828, 236761, 236828, 236812, 236819, 236812, 1263, 623, 99883, 1083, 623, 53601, 236786, 163718, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 3041, 2543, 1083, 623, 14188, 711, 12659, 528, 5904, 30539, 827, 623, 2060, 3041, 2543, 1083, 623, 14188, 711, 12659, 528, 5904, 30539, 827, 623, 2060, 85464, 9015, 1083, 623, 14188, 711, 12659, 528, 5904, 30539, 236775, 19465, 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, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236770, 236778, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236828, 236819, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236832, 236828, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236770, 236770, 236828, 236761, 236810, 5237, 623, 170282, 1083, 236743, 236770, 236764, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 23179, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236812, 236810, 236825, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236800, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 2060, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236819, 236778, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236828, 236771, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236770, 236778, 236771, 236761, 236771, 5237, 623, 170282, 1083, 236743, 236770, 236764, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 25938, 1604, 623, 6725, 236779, 8194, 1083, 236743, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 28881, 236779, 103411, 1083, 3714, 113130, 236779, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 95191, 827, 623, 2060, 236779, 113130, 236779, 2289, 1083, 623, 236771, 236825, 236787, 236771, 236771, 95191, 827, 623, 2060, 236779, 46353, 236779, 2289, 1083, 623, 15849, 236743, 236770, 236828, 236787, 236771, 236771, 23179, 623, 51128, 236779, 4818, 1083, 3714, 120177, 236779, 45118, 1083, 236743, 236800, 236825, 236761, 236832, 236764, 623, 54023, 236779, 51128, 1083, 236743, 236770, 236825, 236771, 236770, 236761, 236810, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11128, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236774, 5635, 174666, 827, 623, 7125, 236779, 1999, 1083, 623, 1667, 7405, 827, 623, 1201, 1083, 623, 94465, 124929, 13325, 11109, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236800, 236828, 236812, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236771, 236819, 236761, 236812, 236819, 236828, 236800, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 12103, 1083, 78493, 58657, 236779, 1201, 1083, 623, 94465, 124929, 28917, 12825, 827, 623, 37623, 1083, 236743, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 6725, 236779, 9707, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236812, 236764, 623, 18700, 236779, 10868, 1083, 236743, 236770, 236810, 236764, 623, 22860, 1236, 1083, 3714, 1190, 785, 236779, 67299, 1083, 1847, 236764, 623, 6796, 236779, 132259, 1083, 1847, 236764, 623, 1179, 34627, 236779, 8114, 1083, 1847, 1263, 623, 17178, 236779, 1071, 236779, 59312, 236779, 24434, 1246, 236779, 85775, 1083, 623, 236770, 236761, 236778, 7251, 827, 623, 236755, 47996, 236779, 26286, 1083, 623, 15370, 32735, 3097, 236743, 236778, 236812, 3885, 1680, 2426, 495, 23179, 3714, 58657, 236779, 1201, 1083, 623, 46792, 236789, 508, 7997, 5841, 12825, 827, 623, 37623, 1083, 236743, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236819, 236764, 623, 6725, 236779, 9707, 1083, 236743, 236832, 236832, 236819, 236761, 236819, 236812, 236764, 623, 18700, 236779, 10868, 1083, 236743, 236828, 236764, 623, 22860, 1236, 1083, 3714, 1190, 785, 236779, 67299, 1083, 1847, 236764, 623, 188560, 236779, 11138, 1083, 1847, 236764, 623, 236778, 236812, 236754, 236779, 28438, 88043, 1083, 1847, 1263, 623, 17178, 236779, 1071, 236779, 59312, 236779, 24434, 1246, 236779, 85775, 1083, 623, 236778, 236761, 236828, 7251, 827, 623, 236755, 47996, 236779, 26286, 1083, 623, 14042, 236772, 151140, 25938, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 28881, 236779, 103411, 1083, 3714, 10479, 236779, 2003, 1083, 623, 9707, 827, 623, 7125, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236774, 5635, 174666, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 56905, 1083, 623, 87877, 827, 623, 41239, 236779, 8194, 1083, 78493, 2084, 1083, 623, 41210, 236772, 3038, 127704, 827, 623, 4368, 1083, 623, 120803, 169681, 827, 623, 32320, 236779, 4720, 1083, 236743, 236812, 236810, 236761, 236771, 236764, 623, 6725, 236779, 4720, 1083, 236743, 236800, 236770, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 16518, 1083, 11058, 17995, 136229, 827, 623, 52213, 36759, 827, 623, 98054, 14255, 623, 141329, 236779, 42103, 1083, 3714, 69719, 236779, 15979, 1083, 1847, 236764, 623, 69719, 236779, 13304, 1083, 236743, 236770, 236771, 236771, 236761, 236771, 236764, 623, 101436, 236779, 8194, 1083, 11058, 18397, 85406, 827, 623, 13973, 85406, 568, 30766, 236778, 236771, 236786, 1496, 236768, 14255, 623, 6796, 236779, 236755, 47996, 1083, 1847, 1807, 1604, 623, 83625, 236779, 7125, 1083, 3714, 547, 1083, 623, 69396, 236874, 827, 623, 7720, 1083, 623, 46792, 236789, 508, 132059, 37026, 5785, 17526, 3331, 79671, 6022, 827, 623, 24392, 1083, 623, 236771, 236828, 236787, 236771, 236771, 236772, 236778, 236778, 236787, 236771, 236771, 18245, 23179, 623, 6725, 236779, 86211, 236779, 7284, 3843, 1083, 3714, 5521, 236779, 141329, 1083, 236743, 236800, 236770, 236810, 236761, 236771, 236764, 623, 85512, 236779, 136702, 1083, 236743, 236800, 236810, 236761, 236771, 236764, 623, 6725, 1083, 236743, 236800, 236810, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 61823, 236779, 30449, 1083, 623, 6459, 236917, 236772, 236778, 236771, 236778, 236812, 236771, 236812, 236771, 236778, 236772, 236832, 236828, 236819, 25938, 106, 107, 105, 4368, 107, 1018, 5471, 236772, 2003, 236772, 5471, 17172, 9620, 573, 20692, 124929, 13325, 26922, 1018, 108, 1018, 236770, 236761, 30970, 28636, 568, 5094, 236774, 16130, 41725, 62902, 138, 107, 1018, 14945, 19993, 53121, 138, 107, 236772, 5213, 151918, 53121, 3668, 37403, 23952, 236770, 236778, 236800, 138, 107, 236772, 5213, 125489, 53121, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236771, 236828, 236787, 236770, 236810, 8151, 236768, 138, 107, 236772, 5213, 91011, 53121, 5365, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236770, 236770, 236787, 236800, 236771, 8151, 236768, 138, 107, 236772, 5213, 13293, 53121, 5365, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236771, 236819, 236787, 236812, 236810, 8151, 27197, 236764, 236743, 236770, 236778, 236787, 236810, 236810, 8711, 16257, 236768, 138, 107, 236772, 5213, 11280, 53121, 609, 236828, 236819, 236828, 236761, 236810, 236771, 568, 178131, 236764, 236743, 236770, 4721, 236768, 138, 107, 236772, 5213, 71653, 42056, 53121, 236743, 236800, 236825, 236761, 236832, 236908, 138, 108, 1018, 236778, 236761, 12825, 111506, 1018, 138, 107, 1018, 94465, 124929, 28917, 12825, 1018, 138, 107, 236772, 5213, 236797, 4821, 53121, 236743, 236825, 568, 30651, 236743, 236778, 236964, 236828, 236768, 138, 107, 236772, 5213, 21796, 53121, 609, 236770, 236812, 236819, 236761, 236819, 236819, 236786, 9467, 16130, 5213, 9640, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236812, 1018, 138, 107, 236772, 5213, 200017, 53121, 2154, 236772, 8777, 12660, 236764, 2196, 13932, 236764, 51320, 531, 3432, 138, 107, 236772, 5213, 23258, 53121, 236743, 236770, 236761, 236778, 7251, 699, 20692, 124929, 13325, 11109, 138, 108, 1018, 236800, 236761, 3331, 79671, 1018, 138, 107, 1018, 120803, 169681, 568, 41210, 236772, 3038, 62902, 138, 107, 236772, 5213, 217277, 53121, 5365, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236770, 236778, 236787, 236771, 236771, 8711, 236768, 657, 39429, 236874, 17526, 138, 107, 236772, 5213, 13293, 53121, 5365, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 568, 236770, 236771, 236787, 236771, 236771, 8151, 236768, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236800, 236810, 236771, 568, 22239, 14171, 236764, 6079, 8657, 236768, 138, 107, 236772, 5213, 103990, 53121, 609, 236770, 236771, 236771, 568, 151140, 236768, 138, 108, 1018, 9640, 93550, 11117, 53121, 138, 107, 236772, 5213, 224240, 53121, 609, 236828, 236819, 236828, 236761, 236810, 236771, 138, 107, 236772, 5213, 54347, 53121, 609, 236828, 236819, 236819, 236761, 236819, 236812, 138, 107, 236772, 5213, 9767, 53121, 609, 236800, 236810, 236771, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 53121, 5213, 236795, 236778, 236764, 236770, 236812, 236828, 236761, 236812, 236812, 1018, 138, 107, 236772, 5213, 91237, 29125, 53121, 609, 236800, 236810, 236770, 236761, 236810, 236825, 568, 1708, 18917, 236764, 7234, 12412, 236764, 4044, 2907, 138, 108, 1018, 26253, 53121, 138, 107, 236772, 2343, 3835, 4691, 2351, 506, 609, 236778, 236764, 236810, 236771, 236771, 7715, 236761, 138, 107, 236772, 12825, 5469, 2196, 32735, 3097, 236743, 236778, 236812, 3885, 1680, 2426, 236772, 495, 236761, 138, 107, 236772, 3331, 20310, 5132, 28887, 532, 27227, 573, 17042, 236761, 138, 107, 236772, 115058, 3204, 5597, 97200, 236786, 15072, 618, 15633, 236761, 138, 108, 38786, 611, 1133, 531, 7162, 607, 22479, 10686, 573, 1027, 529, 1239, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 3371, 607, 2263, 14896, 4699, 528, 56183, 573, 496, 3399, 20446, 18669, 17358, 236761, 28344, 611, 12270, 786, 496, 1694, 529, 236743, 236810, 14896, 236772, 41889, 4699, 528, 506, 56183, 236764, 8253, 2433, 1699, 506, 4699, 5904, 236881, 564, 236789, 236753, 1133, 531, 11327, 3435, 33000, 573, 22293, 1239, 4749, 657, 910, 8848, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 89354, 36580, 18671, 23566, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 31935, 1083, 623, 2574, 1411, 236751, 773, 7329, 95526, 236761, 854, 25938, 107, 14937, 1201, 1083, 623, 4722, 15435, 6308, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236832, 236778, 827, 623, 31935, 1083, 623, 2574, 1411, 141493, 26559, 765, 2904, 236761, 3284, 25938, 107, 14937, 1201, 1083, 623, 225442, 11849, 143877, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 630, 6718, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236770, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 827, 623, 31935, 1083, 623, 2574, 1411, 236755, 10383, 4332, 847, 236761, 2108, 25938, 107, 14937, 1201, 1083, 623, 21713, 17694, 14232, 827, 623, 7720, 1083, 623, 236770, 236771, 236770, 10856, 4556, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236778, 236810, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236771, 827, 623, 31935, 1083, 623, 2574, 1411, 22278, 14801, 36661, 236761, 2187, 25938, 107, 14937, 1201, 1083, 623, 196014, 35438, 12232, 827, 623, 7720, 1083, 623, 236778, 236771, 236778, 5774, 7621, 25692, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236819, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 827, 623, 31935, 1083, 623, 2574, 1411, 236749, 82296, 75884, 236761, 897, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 236743, 236810, 14896, 236772, 41889, 4699, 528, 56183, 236764, 8253, 600, 611, 1451, 4313, 573, 11403, 7760, 236787, 108, 236770, 236761, 5213, 89354, 36580, 18671, 23566, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 138, 107, 139, 246978, 870, 236751, 773, 7329, 95526, 236761, 854, 5457, 2574, 1411, 236751, 773, 7329, 95526, 236761, 854, 236768, 108, 236778, 236761, 5213, 4722, 15435, 6308, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236832, 236778, 138, 107, 139, 246978, 870, 141493, 26559, 765, 2904, 236761, 3284, 5457, 2574, 1411, 141493, 26559, 765, 2904, 236761, 3284, 236768, 108, 236800, 236761, 5213, 225442, 11849, 143877, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 630, 6718, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236770, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 138, 107, 139, 246978, 870, 236755, 10383, 4332, 847, 236761, 2108, 5457, 2574, 1411, 236755, 10383, 4332, 847, 236761, 2108, 236768, 108, 236812, 236761, 5213, 21713, 17694, 14232, 1018, 138, 107, 139, 244343, 236743, 236770, 236771, 236770, 10856, 4556, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236778, 236810, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236771, 138, 107, 139, 246978, 870, 22278, 14801, 36661, 236761, 2187, 5457, 2574, 1411, 22278, 14801, 36661, 236761, 2187, 236768, 108, 236810, 236761, 5213, 196014, 35438, 12232, 1018, 138, 107, 139, 244343, 236743, 236778, 236771, 236778, 5774, 7621, 25692, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236819, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 138, 107, 139, 246978, 870, 236749, 82296, 75884, 236761, 897, 5457, 2574, 1411, 236749, 82296, 75884, 236761, 897, 236768, 108, 9208, 4699, 3196, 531, 735, 8848, 528, 506, 56183, 2433, 532, 1451, 577, 3435, 6627, 573, 22293, 822, 3399, 20446, 28023, 236761, 1599, 2473, 1966, 17154, 855, 531, 910, 3399, 3381, 653, 18341, 21235, 531, 11327, 13859, 7760, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 1694, 236888, 3792, 786, 1502, 684, 92578, 506, 4453, 11024, 529, 1239, 4699, 531, 2731, 33972, 236761, 28344, 611, 1161, 506, 4448, 236779, 105000, 5904, 531, 974, 506, 40899, 532, 50550, 573, 56183, 18671, 23566, 657, 236743, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 236881, 1174, 795, 1601, 786, 4187, 855, 3435, 18669, 37643, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236825, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236819, 236812, 236812, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 236764, 623, 7720, 236779, 3456, 1083, 623, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 179692, 1262, 573, 5213, 89354, 36580, 18671, 23566, 1018, 657, 236743, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 236787, 108, 236772, 5213, 104548, 66515, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236825, 138, 107, 236772, 5213, 109433, 66515, 753, 236770, 236778, 236770, 236761, 236812, 236819, 236812, 236812, 138, 107, 236772, 5213, 229806, 66515, 236743, 236819, 236810, 236908, 4241, 138, 108, 9208, 15375, 1374, 981, 1388, 573, 15468, 6436, 236764, 19573, 6995, 236764, 653, 31236, 22086, 573, 822, 18669, 33972, 236761, 21284, 611, 1133, 786, 531, 12270, 3361, 4563, 1262, 573, 506, 1032, 4699, 580, 506, 1694, 236881, 106, 107, 105, 2364, 107, 100409, 236764, 1531, 236789, 236751, 974, 506, 15375, 573, 22616, 15435, 6308, 2148, 236761, 28344, 611, 1161, 506, 4448, 236779, 105000, 5904, 573, 910, 3421, 236787, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 236881, 1174, 795, 1601, 786, 10769, 33417, 1534, 37643, 532, 2731, 14227, 3835, 573, 40303, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236770, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236828, 236828, 236800, 236764, 623, 7720, 1083, 623, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 827, 623, 13319, 1083, 623, 89354, 36580, 827, 623, 3255, 1083, 623, 52247, 827, 623, 157350, 236779, 3970, 1083, 623, 236819, 236810, 236828, 236800, 236812, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 179692, 1262, 573, 5213, 4722, 15435, 6308, 1018, 657, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 236787, 108, 236772, 5213, 104548, 66515, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236770, 138, 107, 236772, 5213, 109433, 66515, 753, 236770, 236778, 236770, 236761, 236812, 236828, 236828, 236800, 138, 107, 236772, 5213, 9604, 66515, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 138, 107, 236772, 5213, 17698, 66515, 56183, 138, 107, 236772, 5213, 3112, 66515, 7151, 138, 107, 236772, 5213, 128116, 8739, 66515, 236743, 236819, 236810, 236828, 236800, 236812, 138, 108, 818, 15375, 659, 1492, 2487, 573, 33417, 3671, 532, 14227, 6995, 236761, 21284, 611, 1133, 531, 4102, 67896, 15375, 573, 506, 9866, 4699, 580, 506, 1694, 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 ]
[ 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, 2263, 14896, 4699, 528, 56183, 573, 496, 3399, 20446, 18669, 17358, 236761, 28344, 611, 12270, 786, 496, 1694, 529, 236743, 236810, 14896, 236772, 41889, 4699, 528, 506, 56183, 236764, 8253, 2433, 1699, 506, 4699, 5904, 236881, 564, 236789, 236753, 1133, 531, 11327, 3435, 33000, 573, 22293, 1239, 4749, 657, 910, 8848, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 89354, 36580, 18671, 23566, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 31935, 1083, 623, 2574, 1411, 236751, 773, 7329, 95526, 236761, 854, 25938, 107, 14937, 1201, 1083, 623, 4722, 15435, 6308, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236832, 236778, 827, 623, 31935, 1083, 623, 2574, 1411, 141493, 26559, 765, 2904, 236761, 3284, 25938, 107, 14937, 1201, 1083, 623, 225442, 11849, 143877, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 630, 6718, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236770, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 827, 623, 31935, 1083, 623, 2574, 1411, 236755, 10383, 4332, 847, 236761, 2108, 25938, 107, 14937, 1201, 1083, 623, 21713, 17694, 14232, 827, 623, 7720, 1083, 623, 236770, 236771, 236770, 10856, 4556, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236778, 236810, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236771, 827, 623, 31935, 1083, 623, 2574, 1411, 22278, 14801, 36661, 236761, 2187, 25938, 107, 14937, 1201, 1083, 623, 196014, 35438, 12232, 827, 623, 7720, 1083, 623, 236778, 236771, 236778, 5774, 7621, 25692, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236819, 827, 623, 5275, 1083, 10955, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 827, 623, 31935, 1083, 623, 2574, 1411, 236749, 82296, 75884, 236761, 897, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 236743, 236810, 14896, 236772, 41889, 4699, 528, 56183, 236764, 8253, 600, 611, 1451, 4313, 573, 11403, 7760, 236787, 108, 236770, 236761, 5213, 89354, 36580, 18671, 23566, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 138, 107, 139, 246978, 870, 236751, 773, 7329, 95526, 236761, 854, 5457, 2574, 1411, 236751, 773, 7329, 95526, 236761, 854, 236768, 108, 236778, 236761, 5213, 4722, 15435, 6308, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236832, 236778, 138, 107, 139, 246978, 870, 141493, 26559, 765, 2904, 236761, 3284, 5457, 2574, 1411, 141493, 26559, 765, 2904, 236761, 3284, 236768, 108, 236800, 236761, 5213, 225442, 11849, 143877, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 630, 6718, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236770, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 138, 107, 139, 246978, 870, 236755, 10383, 4332, 847, 236761, 2108, 5457, 2574, 1411, 236755, 10383, 4332, 847, 236761, 2108, 236768, 108, 236812, 236761, 5213, 21713, 17694, 14232, 1018, 138, 107, 139, 244343, 236743, 236770, 236771, 236770, 10856, 4556, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236778, 236810, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236771, 138, 107, 139, 246978, 870, 22278, 14801, 36661, 236761, 2187, 5457, 2574, 1411, 22278, 14801, 36661, 236761, 2187, 236768, 108, 236810, 236761, 5213, 196014, 35438, 12232, 1018, 138, 107, 139, 244343, 236743, 236778, 236771, 236778, 5774, 7621, 25692, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236819, 138, 107, 139, 246080, 900, 236770, 236772, 236819, 236770, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 138, 107, 139, 246978, 870, 236749, 82296, 75884, 236761, 897, 5457, 2574, 1411, 236749, 82296, 75884, 236761, 897, 236768, 108, 9208, 4699, 3196, 531, 735, 8848, 528, 506, 56183, 2433, 532, 1451, 577, 3435, 6627, 573, 22293, 822, 3399, 20446, 28023, 236761, 1599, 2473, 1966, 17154, 855, 531, 910, 3399, 3381, 653, 18341, 21235, 531, 11327, 13859, 7760, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 1694, 236888, 3792, 786, 1502, 684, 92578, 506, 4453, 11024, 529, 1239, 4699, 531, 2731, 33972, 236761, 28344, 611, 1161, 506, 4448, 236779, 105000, 5904, 531, 974, 506, 40899, 532, 50550, 573, 56183, 18671, 23566, 657, 236743, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 236881, 1174, 795, 1601, 786, 4187, 855, 3435, 18669, 37643, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236825, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236819, 236812, 236812, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 236764, 623, 7720, 236779, 3456, 1083, 623, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 179692, 1262, 573, 5213, 89354, 36580, 18671, 23566, 1018, 657, 236743, 236770, 236778, 236800, 32237, 10957, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236770, 236812, 236787, 108, 236772, 5213, 104548, 66515, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236825, 138, 107, 236772, 5213, 109433, 66515, 753, 236770, 236778, 236770, 236761, 236812, 236819, 236812, 236812, 138, 107, 236772, 5213, 229806, 66515, 236743, 236819, 236810, 236908, 4241, 138, 108, 9208, 15375, 1374, 981, 1388, 573, 15468, 6436, 236764, 19573, 6995, 236764, 653, 31236, 22086, 573, 822, 18669, 33972, 236761, 21284, 611, 1133, 786, 531, 12270, 3361, 4563, 1262, 573, 506, 1032, 4699, 580, 506, 1694, 236881, 106, 107, 105, 2364, 107, 100409, 236764, 1531, 236789, 236751, 974, 506, 15375, 573, 22616, 15435, 6308, 2148, 236761, 28344, 611, 1161, 506, 4448, 236779, 105000, 5904, 573, 910, 3421, 236787, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 236881, 1174, 795, 1601, 786, 10769, 33417, 1534, 37643, 532, 2731, 14227, 3835, 573, 40303, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236770, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236828, 236828, 236800, 236764, 623, 7720, 1083, 623, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 827, 623, 13319, 1083, 623, 89354, 36580, 827, 623, 3255, 1083, 623, 52247, 827, 623, 157350, 236779, 3970, 1083, 623, 236819, 236810, 236828, 236800, 236812, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 179692, 1262, 573, 5213, 4722, 15435, 6308, 1018, 657, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 236787, 108, 236772, 5213, 104548, 66515, 236743, 236800, 236828, 236761, 236810, 236828, 236770, 236770, 138, 107, 236772, 5213, 109433, 66515, 753, 236770, 236778, 236770, 236761, 236812, 236828, 236828, 236800, 138, 107, 236772, 5213, 9604, 66515, 236743, 236812, 236810, 236825, 31503, 56258, 236764, 56183, 236764, 8253, 236743, 236819, 236810, 236828, 236800, 236812, 138, 107, 236772, 5213, 17698, 66515, 56183, 138, 107, 236772, 5213, 3112, 66515, 7151, 138, 107, 236772, 5213, 128116, 8739, 66515, 236743, 236819, 236810, 236828, 236800, 236812, 138, 108, 818, 15375, 659, 1492, 2487, 573, 33417, 3671, 532, 14227, 6995, 236761, 21284, 611, 1133, 531, 4102, 67896, 15375, 573, 506, 9866, 4699, 580, 506, 1694, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 28368, 786, 1586, 123856, 236928, 236772, 52728, 15408, 45650, 573, 496, 4430, 236789, 236751, 2203, 236761, 564, 1202, 531, 3927, 573, 3211, 607, 10293, 236764, 37760, 236772, 5282, 11803, 528, 6962, 154024, 532, 56896, 3730, 33510, 236761, 6890, 506, 3927, 236779, 5930, 5904, 607, 1724, 2258, 30154, 532, 756, 197253, 733, 29569, 236764, 23639, 236789, 618, 506, 4563, 5957, 236761, 22282, 77372, 17320, 600, 6081, 110057, 653, 141474, 9097, 753, 564, 236789, 236753, 2765, 531, 1460, 1070, 20173, 3835, 573, 496, 95385, 49052, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 2406, 26932, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236823, 16718, 236785, 236756, 236771, 236771, 524, 236772, 128345, 20692, 124929, 833, 148695, 9595, 103241, 86832, 10847, 827, 623, 9707, 1083, 6610, 236778, 236812, 236810, 236761, 236771, 236771, 827, 623, 10140, 1083, 623, 77386, 508, 9175, 16842, 220849, 827, 623, 80234, 1083, 11058, 94465, 124929, 827, 623, 5766, 37917, 25171, 827, 623, 51024, 14255, 623, 63265, 1083, 623, 236770, 236828, 8455, 13634, 1123, 236743, 236778, 236812, 8455, 3558, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 916, 1043, 1766, 1083, 3714, 4240, 69928, 1083, 1847, 236764, 623, 236751, 152405, 236779, 94636, 1083, 623, 236788, 49713, 7086, 10765, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 5237, 3714, 5930, 236779, 547, 1083, 623, 2406, 26932, 236772, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 99969, 148695, 9595, 103790, 6274, 43854, 607, 103241, 10116, 827, 623, 9707, 1083, 6610, 236770, 236828, 236819, 236761, 236819, 236819, 827, 623, 10140, 1083, 623, 52858, 62300, 42776, 827, 623, 80234, 1083, 11058, 894, 498, 76728, 827, 623, 29984, 9700, 152711, 827, 623, 219627, 14255, 623, 63265, 1083, 623, 236770, 236778, 8455, 1123, 236743, 236778, 236771, 21537, 623, 56905, 1083, 623, 42619, 531, 12045, 568, 236800, 236772, 236812, 5695, 22730, 623, 916, 1043, 1766, 1083, 3714, 4240, 69928, 1083, 1847, 236764, 623, 12697, 16314, 1083, 11058, 3484, 827, 623, 8728, 7803, 14255, 623, 5976, 236779, 2543, 1083, 623, 197253, 733, 29569, 236764, 23639, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 12655, 236779, 3456, 1083, 1847, 236764, 623, 2305, 236779, 2289, 236779, 1356, 1083, 236743, 236812, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 123856, 236928, 236772, 52728, 15408, 3835, 600, 4241, 822, 13138, 573, 506, 151745, 733, 29569, 236764, 23639, 2203, 236787, 108, 236770, 236761, 5213, 77386, 508, 9175, 16842, 220849, 86832, 10847, 1018, 138, 107, 139, 236772, 5213, 5771, 66515, 103241, 154024, 833, 56896, 3730, 40399, 4896, 138, 107, 139, 236772, 5213, 9473, 66515, 609, 236778, 236812, 236810, 1109, 236743, 236770, 236828, 236775, 13634, 1109, 7936, 69928, 607, 8603, 5528, 1109, 56243, 7086, 10765, 19743, 138, 107, 139, 236772, 5213, 35093, 37868, 66515, 37330, 236764, 28174, 1702, 607, 496, 236743, 236812, 236761, 236828, 236772, 7991, 14470, 138, 108, 236778, 236761, 5213, 52858, 62300, 42776, 6274, 43854, 1018, 138, 107, 139, 236772, 5213, 5771, 66515, 148695, 3730, 25364, 607, 37760, 3225, 138, 107, 139, 236772, 5213, 9473, 66515, 609, 236770, 236819, 236771, 1109, 220465, 7913, 236786, 111169, 1109, 78368, 699, 151745, 733, 29569, 568, 236800, 236772, 236812, 2069, 2080, 990, 236768, 138, 107, 139, 236772, 5213, 35093, 37868, 66515, 128584, 67824, 532, 28597, 236772, 18865, 58951, 26022, 5431, 138, 108, 22186, 3835, 56856, 141474, 83918, 532, 16627, 236764, 10293, 15965, 7436, 573, 496, 5456, 95385, 236761, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 6253, 2258, 24781, 236764, 11327, 1032, 17320, 779, 653, 1093, 611, 1133, 10686, 607, 1698, 4889, 1133, 12631, 12657, 653, 61988, 3835, 236881, 106, 107, 105, 2364, 107, 8574, 611, 1694, 506, 1903, 236743, 236810, 141474, 15408, 17320, 528, 151745, 733, 29569, 236764, 23639, 1699, 506, 1694, 236779, 22742, 5904, 236881, 564, 236789, 236753, 1133, 531, 4071, 236772, 30449, 910, 18241, 607, 1023, 123856, 236928, 236772, 52728, 2258, 33448, 2148, 236761, 6890, 3104, 236743, 236770, 607, 3678, 6137, 753, 7463, 692, 236789, 859, 1586, 496, 2263, 11452, 607, 2401, 38307, 4896, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22742, 1083, 78493, 1201, 1083, 623, 197253, 733, 29569, 193030, 63256, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 842, 3836, 25171, 23179, 3714, 1201, 1083, 623, 236798, 70727, 208202, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 4974, 69928, 212572, 23179, 3714, 1201, 1083, 623, 38614, 2834, 25171, 18605, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 9175, 25171, 23179, 3714, 1201, 1083, 623, 25907, 17090, 63256, 827, 623, 7125, 1083, 623, 78884, 23020, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 32899, 41151, 20652, 23179, 3714, 1201, 1083, 623, 1659, 36778, 187757, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 187757, 23179, 3714, 1201, 1083, 623, 236788, 13534, 514, 46768, 827, 623, 7125, 1083, 623, 53865, 7368, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 140448, 63256, 23179, 3714, 1201, 1083, 623, 818, 116550, 39405, 827, 623, 7125, 1083, 623, 165622, 31719, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 223845, 104707, 1507, 23179, 3714, 1201, 1083, 623, 15814, 638, 64245, 827, 623, 7125, 1083, 623, 222030, 5555, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 14884, 143877, 23179, 3714, 1201, 1083, 623, 57782, 7034, 216165, 827, 623, 7125, 1083, 623, 66624, 4556, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 113840, 41151, 20652, 23179, 3714, 1201, 1083, 623, 88754, 96170, 18605, 827, 623, 7125, 1083, 623, 55421, 17587, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 88754, 32870, 84220, 23179, 3714, 1201, 1083, 623, 32899, 639, 2392, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 146367, 63256, 23179, 3714, 1201, 1083, 623, 202880, 63256, 827, 623, 7125, 1083, 623, 236855, 16055, 1348, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 131318, 104707, 1507, 23179, 3714, 1201, 1083, 623, 210145, 700, 212572, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 120392, 41151, 20652, 23179, 3714, 1201, 1083, 623, 147716, 51344, 23566, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 174779, 63256, 23179, 3714, 1201, 1083, 623, 3524, 87530, 25171, 17180, 827, 623, 7125, 1083, 623, 236773, 3307, 141000, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 25171, 23179, 3714, 1201, 1083, 623, 66057, 96170, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 81343, 63256, 23179, 3714, 1201, 1083, 623, 60891, 46768, 18605, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 98472, 193030, 23179, 3714, 1201, 1083, 623, 120453, 63256, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 105367, 236772, 14357, 64245, 23179, 3714, 1201, 1083, 623, 225711, 129721, 8303, 827, 623, 7125, 1083, 623, 53865, 7368, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 225711, 137944, 23179, 3714, 1201, 1083, 623, 3695, 76533, 212572, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 13238, 236772, 7315, 63256, 23179, 3714, 1201, 1083, 623, 9175, 16842, 96170, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 4974, 12901, 187757, 23179, 3714, 1201, 1083, 623, 143443, 68216, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 143443, 63256, 23179, 3714, 1201, 1083, 623, 233713, 63256, 827, 623, 7125, 1083, 623, 78884, 23020, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 164334, 41151, 20652, 23179, 3714, 1201, 1083, 623, 18318, 50887, 18605, 827, 623, 7125, 1083, 623, 115342, 1014, 1530, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 75896, 63256, 23179, 3714, 1201, 1083, 623, 17214, 9342, 7034, 216165, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 83738, 64245, 23179, 3714, 1201, 1083, 623, 213456, 3734, 85091, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 9175, 16842, 32870, 84220, 23179, 3714, 1201, 1083, 623, 818, 10847, 193030, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 40082, 23179, 3714, 1201, 1083, 623, 236823, 111664, 96170, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 21713, 236772, 60903, 41151, 20652, 23179, 3714, 1201, 1083, 623, 215507, 19913, 831, 827, 623, 7125, 1083, 623, 31317, 14973, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 62529, 6367, 63256, 23179, 3714, 1201, 1083, 623, 225711, 25171, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 894, 3836, 25171, 4585, 23179, 3714, 1201, 1083, 623, 32899, 28917, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 3508, 2577, 62152, 23179, 3714, 1201, 1083, 623, 236798, 70727, 5307, 4571, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 57782, 63256, 23179, 3714, 1201, 1083, 623, 88754, 116948, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 88754, 36047, 23179, 3714, 1201, 1083, 623, 236788, 13534, 514, 25171, 17180, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 842, 3836, 25171, 23179, 3714, 1201, 1083, 623, 236798, 38016, 63256, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 39627, 41151, 20652, 23179, 3714, 1201, 1083, 623, 236799, 725, 2026, 212572, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 35093, 64245, 23179, 3714, 1201, 1083, 623, 818, 43854, 18605, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 212572, 23179, 3714, 1201, 1083, 623, 210145, 63256, 2372, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 13238, 236772, 7315, 212572, 23179, 3714, 1201, 1083, 623, 9175, 3316, 7034, 216165, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 75455, 41151, 20652, 23179, 3714, 1201, 1083, 623, 130922, 639, 10799, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 77167, 161353, 63256, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 2086, 1083, 236743, 236812, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 141474, 15408, 17320, 528, 5213, 197253, 733, 29569, 236764, 23639, 1018, 699, 3104, 236743, 236770, 529, 506, 38332, 236764, 3008, 607, 2307, 4889, 573, 4071, 236772, 35380, 9908, 607, 822, 123856, 236928, 236772, 52728, 2203, 236787, 108, 7243, 108, 10354, 5213, 8534, 236743, 236810, 151745, 733, 29569, 193030, 63256, 106408, 1018, 138, 107, 236770, 236761, 5213, 197253, 733, 29569, 193030, 63256, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 13287, 842, 3836, 25171, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 5890, 4241, 573, 38307, 4896, 236793, 4547, 531, 2729, 37760, 236786, 100904, 3404, 236772, 589, 20636, 30251, 140918, 236761, 138, 108, 236778, 236761, 5213, 236798, 70727, 208202, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 7936, 69928, 212572, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 30235, 580, 141474, 981, 237028, 57362, 573, 4709, 236764, 10293, 15965, 236761, 138, 108, 236800, 236761, 5213, 1659, 36778, 187757, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 13287, 187757, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 80007, 61988, 236793, 1451, 7535, 11803, 531, 822, 2258, 10165, 236761, 138, 108, 236812, 236761, 5213, 147716, 51344, 23566, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 48233, 63256, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 43804, 236772, 18865, 5417, 236793, 1149, 22064, 607, 10293, 123856, 236928, 57878, 236761, 138, 108, 236810, 236761, 5213, 60891, 46768, 18605, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 19987, 193030, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 12263, 83918, 236793, 3435, 573, 70065, 236764, 10969, 1702, 33466, 236761, 138, 108, 7243, 108, 10354, 5213, 61192, 106408, 528, 151745, 733, 29569, 607, 842, 3836, 25171, 51508, 1018, 138, 107, 236772, 5213, 225711, 25171, 66515, 10624, 5411, 528, 38307, 4896, 1610, 236761, 138, 107, 236772, 5213, 236788, 13534, 514, 25171, 17180, 66515, 13287, 38307, 4896, 3835, 236761, 138, 107, 236772, 5213, 9175, 16842, 96170, 66515, 125222, 31868, 568, 46052, 7535, 531, 37760, 14062, 769, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 3927, 1239, 17320, 236858, 86962, 1699, 506, 2165, 2305, 236779, 5930, 236929, 5904, 607, 822, 2258, 30154, 568, 589, 20636, 30251, 236764, 56896, 3730, 236768, 532, 623, 236823, 16718, 236928, 236772, 52728, 236775, 618, 506, 7609, 236881, 1174, 1093, 1601, 8701, 3530, 4852, 16590, 506, 95385, 49052, 10040, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 3927, 1546, 529, 1239, 1903, 236743, 236810, 17320, 236789, 86962, 29772, 1699, 3927, 236779, 5930, 236761, 6890, 756, 236823, 16718, 236928, 236772, 52728, 154024, 56896, 3730, 37760, 236789, 618, 506, 30136, 532, 5957, 684, 7805, 1463, 236761, 9187, 607, 151745, 733, 29569, 193030, 63256, 1171, 753, 564, 1461, 531, 1460, 768, 901, 735, 1027, 38307, 4896, 9097, 600, 1451, 981, 573, 614, 138915, 95385, 4771, 236761, 12213, 28436, 1133, 61988, 3835, 532, 2080, 2782, 528, 506, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 547, 1083, 623, 236776, 1565, 236772, 236800, 236812, 236819, 236778, 827, 623, 3250, 1083, 623, 236823, 16718, 236785, 236756, 236771, 236771, 524, 236772, 128345, 20692, 124929, 148695, 9595, 842, 3836, 25171, 31748, 827, 623, 9707, 1083, 6610, 236770, 236764, 236828, 236810, 236771, 236761, 236771, 236771, 827, 623, 56905, 1083, 623, 902, 2862, 568, 21028, 10489, 22730, 623, 12697, 1854, 236779, 8194, 1083, 3714, 2086, 236779, 105621, 1083, 11058, 236800, 236825, 236781, 236812, 236828, 21537, 623, 236812, 236778, 236781, 236825, 236771, 21537, 623, 236812, 236828, 236781, 236832, 236778, 8455, 14255, 623, 6516, 236779, 80234, 1083, 11058, 236824, 5310, 21444, 827, 623, 153342, 827, 623, 31317, 14255, 623, 50263, 236779, 8194, 1083, 11058, 8506, 654, 827, 623, 161511, 236762, 827, 623, 2067, 2600, 152254, 623, 40227, 236779, 2289, 1083, 623, 236812, 236772, 236825, 5695, 573, 2401, 10400, 827, 623, 10140, 236779, 23184, 1083, 623, 4974, 69928, 1699, 101922, 154024, 532, 56896, 4896, 236761, 7714, 6347, 22130, 8427, 528, 3759, 1781, 104960, 623, 21052, 1083, 3714, 12655, 236779, 3456, 1083, 1847, 236764, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 10140, 236779, 6275, 236779, 2289, 1083, 623, 236770, 236778, 236828, 1356, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1354, 573, 5213, 197253, 733, 29569, 193030, 63256, 1018, 1699, 822, 13138, 236787, 108, 7243, 108, 10354, 5213, 236823, 16718, 236928, 236772, 128345, 842, 3836, 25171, 31748, 1018, 138, 107, 1018, 7163, 5853, 66515, 562, 1565, 236772, 236800, 236812, 236819, 236778, 138, 107, 1018, 11280, 66515, 609, 236770, 236764, 236828, 236810, 236771, 236761, 236771, 236771, 138, 107, 1018, 51164, 66515, 799, 2862, 568, 21028, 10489, 236768, 138, 107, 1018, 16493, 1854, 28636, 66515, 138, 107, 236772, 5213, 93888, 66515, 236743, 236800, 236825, 236781, 236812, 236828, 827, 236743, 236812, 236778, 236781, 236825, 236771, 827, 236743, 236812, 236828, 236781, 236832, 236778, 236775, 138, 107, 236772, 5213, 8788, 26810, 66515, 649, 5310, 21444, 236764, 81524, 236764, 653, 10013, 138, 107, 236772, 5213, 50314, 28636, 66515, 102451, 236764, 89042, 236762, 236764, 653, 220721, 138, 108, 1018, 66825, 7578, 66515, 236743, 236812, 236772, 236825, 5695, 573, 2401, 10400, 138, 107, 1018, 26253, 66515, 138, 107, 236772, 7936, 69928, 699, 101922, 154024, 532, 56896, 3730, 4896, 236761, 138, 107, 236772, 37330, 236764, 28174, 37760, 9935, 9729, 8427, 1534, 9097, 236761, 138, 107, 236772, 45891, 573, 138915, 11665, 653, 5456, 35490, 236761, 138, 108, 7243, 108, 2094, 6347, 100146, 13275, 607, 506, 123856, 236928, 236772, 52728, 10293, 18271, 532, 2258, 33448, 611, 4970, 236761, 669, 61988, 3835, 2174, 625, 531, 7535, 531, 822, 95385, 236858, 236751, 3530, 13376, 532, 1702, 3548, 236761, 21284, 611, 1133, 786, 531, 4102, 19460, 506, 9866, 17320, 568, 236798, 70727, 208202, 236764, 223470, 187757, 236764, 4044, 2907, 573, 4767, 3835, 236764, 653, 1093, 611, 5278, 531, 11327, 672, 1698, 3342, 568, 236744, 236761, 236759, 1126, 3662, 506, 7805, 573, 11764, 22388, 20625, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 28368, 786, 1586, 123856, 236928, 236772, 52728, 15408, 45650, 573, 496, 4430, 236789, 236751, 2203, 236761, 564, 1202, 531, 3927, 573, 3211, 607, 10293, 236764, 37760, 236772, 5282, 11803, 528, 6962, 154024, 532, 56896, 3730, 33510, 236761, 6890, 506, 3927, 236779, 5930, 5904, 607, 1724, 2258, 30154, 532, 756, 197253, 733, 29569, 236764, 23639, 236789, 618, 506, 4563, 5957, 236761, 22282, 77372, 17320, 600, 6081, 110057, 653, 141474, 9097, 753, 564, 236789, 236753, 2765, 531, 1460, 1070, 20173, 3835, 573, 496, 95385, 49052, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 2406, 26932, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236823, 16718, 236785, 236756, 236771, 236771, 524, 236772, 128345, 20692, 124929, 833, 148695, 9595, 103241, 86832, 10847, 827, 623, 9707, 1083, 6610, 236778, 236812, 236810, 236761, 236771, 236771, 827, 623, 10140, 1083, 623, 77386, 508, 9175, 16842, 220849, 827, 623, 80234, 1083, 11058, 94465, 124929, 827, 623, 5766, 37917, 25171, 827, 623, 51024, 14255, 623, 63265, 1083, 623, 236770, 236828, 8455, 13634, 1123, 236743, 236778, 236812, 8455, 3558, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 916, 1043, 1766, 1083, 3714, 4240, 69928, 1083, 1847, 236764, 623, 236751, 152405, 236779, 94636, 1083, 623, 236788, 49713, 7086, 10765, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 5237, 3714, 5930, 236779, 547, 1083, 623, 2406, 26932, 236772, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 99969, 148695, 9595, 103790, 6274, 43854, 607, 103241, 10116, 827, 623, 9707, 1083, 6610, 236770, 236828, 236819, 236761, 236819, 236819, 827, 623, 10140, 1083, 623, 52858, 62300, 42776, 827, 623, 80234, 1083, 11058, 894, 498, 76728, 827, 623, 29984, 9700, 152711, 827, 623, 219627, 14255, 623, 63265, 1083, 623, 236770, 236778, 8455, 1123, 236743, 236778, 236771, 21537, 623, 56905, 1083, 623, 42619, 531, 12045, 568, 236800, 236772, 236812, 5695, 22730, 623, 916, 1043, 1766, 1083, 3714, 4240, 69928, 1083, 1847, 236764, 623, 12697, 16314, 1083, 11058, 3484, 827, 623, 8728, 7803, 14255, 623, 5976, 236779, 2543, 1083, 623, 197253, 733, 29569, 236764, 23639, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 12655, 236779, 3456, 1083, 1847, 236764, 623, 2305, 236779, 2289, 236779, 1356, 1083, 236743, 236812, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 123856, 236928, 236772, 52728, 15408, 3835, 600, 4241, 822, 13138, 573, 506, 151745, 733, 29569, 236764, 23639, 2203, 236787, 108, 236770, 236761, 5213, 77386, 508, 9175, 16842, 220849, 86832, 10847, 1018, 138, 107, 139, 236772, 5213, 5771, 66515, 103241, 154024, 833, 56896, 3730, 40399, 4896, 138, 107, 139, 236772, 5213, 9473, 66515, 609, 236778, 236812, 236810, 1109, 236743, 236770, 236828, 236775, 13634, 1109, 7936, 69928, 607, 8603, 5528, 1109, 56243, 7086, 10765, 19743, 138, 107, 139, 236772, 5213, 35093, 37868, 66515, 37330, 236764, 28174, 1702, 607, 496, 236743, 236812, 236761, 236828, 236772, 7991, 14470, 138, 108, 236778, 236761, 5213, 52858, 62300, 42776, 6274, 43854, 1018, 138, 107, 139, 236772, 5213, 5771, 66515, 148695, 3730, 25364, 607, 37760, 3225, 138, 107, 139, 236772, 5213, 9473, 66515, 609, 236770, 236819, 236771, 1109, 220465, 7913, 236786, 111169, 1109, 78368, 699, 151745, 733, 29569, 568, 236800, 236772, 236812, 2069, 2080, 990, 236768, 138, 107, 139, 236772, 5213, 35093, 37868, 66515, 128584, 67824, 532, 28597, 236772, 18865, 58951, 26022, 5431, 138, 108, 22186, 3835, 56856, 141474, 83918, 532, 16627, 236764, 10293, 15965, 7436, 573, 496, 5456, 95385, 236761, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 6253, 2258, 24781, 236764, 11327, 1032, 17320, 779, 653, 1093, 611, 1133, 10686, 607, 1698, 4889, 1133, 12631, 12657, 653, 61988, 3835, 236881, 106, 107, 105, 2364, 107, 8574, 611, 1694, 506, 1903, 236743, 236810, 141474, 15408, 17320, 528, 151745, 733, 29569, 236764, 23639, 1699, 506, 1694, 236779, 22742, 5904, 236881, 564, 236789, 236753, 1133, 531, 4071, 236772, 30449, 910, 18241, 607, 1023, 123856, 236928, 236772, 52728, 2258, 33448, 2148, 236761, 6890, 3104, 236743, 236770, 607, 3678, 6137, 753, 7463, 692, 236789, 859, 1586, 496, 2263, 11452, 607, 2401, 38307, 4896, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22742, 1083, 78493, 1201, 1083, 623, 197253, 733, 29569, 193030, 63256, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 842, 3836, 25171, 23179, 3714, 1201, 1083, 623, 236798, 70727, 208202, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 4974, 69928, 212572, 23179, 3714, 1201, 1083, 623, 38614, 2834, 25171, 18605, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 9175, 25171, 23179, 3714, 1201, 1083, 623, 25907, 17090, 63256, 827, 623, 7125, 1083, 623, 78884, 23020, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 32899, 41151, 20652, 23179, 3714, 1201, 1083, 623, 1659, 36778, 187757, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 187757, 23179, 3714, 1201, 1083, 623, 236788, 13534, 514, 46768, 827, 623, 7125, 1083, 623, 53865, 7368, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 140448, 63256, 23179, 3714, 1201, 1083, 623, 818, 116550, 39405, 827, 623, 7125, 1083, 623, 165622, 31719, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 223845, 104707, 1507, 23179, 3714, 1201, 1083, 623, 15814, 638, 64245, 827, 623, 7125, 1083, 623, 222030, 5555, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 14884, 143877, 23179, 3714, 1201, 1083, 623, 57782, 7034, 216165, 827, 623, 7125, 1083, 623, 66624, 4556, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 113840, 41151, 20652, 23179, 3714, 1201, 1083, 623, 88754, 96170, 18605, 827, 623, 7125, 1083, 623, 55421, 17587, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 88754, 32870, 84220, 23179, 3714, 1201, 1083, 623, 32899, 639, 2392, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 146367, 63256, 23179, 3714, 1201, 1083, 623, 202880, 63256, 827, 623, 7125, 1083, 623, 236855, 16055, 1348, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 131318, 104707, 1507, 23179, 3714, 1201, 1083, 623, 210145, 700, 212572, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 120392, 41151, 20652, 23179, 3714, 1201, 1083, 623, 147716, 51344, 23566, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 174779, 63256, 23179, 3714, 1201, 1083, 623, 3524, 87530, 25171, 17180, 827, 623, 7125, 1083, 623, 236773, 3307, 141000, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 25171, 23179, 3714, 1201, 1083, 623, 66057, 96170, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 81343, 63256, 23179, 3714, 1201, 1083, 623, 60891, 46768, 18605, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 98472, 193030, 23179, 3714, 1201, 1083, 623, 120453, 63256, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 105367, 236772, 14357, 64245, 23179, 3714, 1201, 1083, 623, 225711, 129721, 8303, 827, 623, 7125, 1083, 623, 53865, 7368, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 225711, 137944, 23179, 3714, 1201, 1083, 623, 3695, 76533, 212572, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 13238, 236772, 7315, 63256, 23179, 3714, 1201, 1083, 623, 9175, 16842, 96170, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 4974, 12901, 187757, 23179, 3714, 1201, 1083, 623, 143443, 68216, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 143443, 63256, 23179, 3714, 1201, 1083, 623, 233713, 63256, 827, 623, 7125, 1083, 623, 78884, 23020, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 164334, 41151, 20652, 23179, 3714, 1201, 1083, 623, 18318, 50887, 18605, 827, 623, 7125, 1083, 623, 115342, 1014, 1530, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 75896, 63256, 23179, 3714, 1201, 1083, 623, 17214, 9342, 7034, 216165, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 83738, 64245, 23179, 3714, 1201, 1083, 623, 213456, 3734, 85091, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 9175, 16842, 32870, 84220, 23179, 3714, 1201, 1083, 623, 818, 10847, 193030, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 40082, 23179, 3714, 1201, 1083, 623, 236823, 111664, 96170, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 21713, 236772, 60903, 41151, 20652, 23179, 3714, 1201, 1083, 623, 215507, 19913, 831, 827, 623, 7125, 1083, 623, 31317, 14973, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 62529, 6367, 63256, 23179, 3714, 1201, 1083, 623, 225711, 25171, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 894, 3836, 25171, 4585, 23179, 3714, 1201, 1083, 623, 32899, 28917, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 3508, 2577, 62152, 23179, 3714, 1201, 1083, 623, 236798, 70727, 5307, 4571, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 57782, 63256, 23179, 3714, 1201, 1083, 623, 88754, 116948, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 88754, 36047, 23179, 3714, 1201, 1083, 623, 236788, 13534, 514, 25171, 17180, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 842, 3836, 25171, 23179, 3714, 1201, 1083, 623, 236798, 38016, 63256, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 39627, 41151, 20652, 23179, 3714, 1201, 1083, 623, 236799, 725, 2026, 212572, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 35093, 64245, 23179, 3714, 1201, 1083, 623, 818, 43854, 18605, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 16493, 212572, 23179, 3714, 1201, 1083, 623, 210145, 63256, 2372, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 13238, 236772, 7315, 212572, 23179, 3714, 1201, 1083, 623, 9175, 3316, 7034, 216165, 827, 623, 7125, 1083, 623, 197253, 733, 29569, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 75455, 41151, 20652, 23179, 3714, 1201, 1083, 623, 130922, 639, 10799, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 18146, 1363, 1083, 623, 77167, 161353, 63256, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 2086, 1083, 236743, 236812, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 141474, 15408, 17320, 528, 5213, 197253, 733, 29569, 236764, 23639, 1018, 699, 3104, 236743, 236770, 529, 506, 38332, 236764, 3008, 607, 2307, 4889, 573, 4071, 236772, 35380, 9908, 607, 822, 123856, 236928, 236772, 52728, 2203, 236787, 108, 7243, 108, 10354, 5213, 8534, 236743, 236810, 151745, 733, 29569, 193030, 63256, 106408, 1018, 138, 107, 236770, 236761, 5213, 197253, 733, 29569, 193030, 63256, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 13287, 842, 3836, 25171, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 5890, 4241, 573, 38307, 4896, 236793, 4547, 531, 2729, 37760, 236786, 100904, 3404, 236772, 589, 20636, 30251, 140918, 236761, 138, 108, 236778, 236761, 5213, 236798, 70727, 208202, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 7936, 69928, 212572, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 30235, 580, 141474, 981, 237028, 57362, 573, 4709, 236764, 10293, 15965, 236761, 138, 108, 236800, 236761, 5213, 1659, 36778, 187757, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 13287, 187757, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 80007, 61988, 236793, 1451, 7535, 11803, 531, 822, 2258, 10165, 236761, 138, 108, 236812, 236761, 5213, 147716, 51344, 23566, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 48233, 63256, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 43804, 236772, 18865, 5417, 236793, 1149, 22064, 607, 10293, 123856, 236928, 57878, 236761, 138, 108, 236810, 236761, 5213, 60891, 46768, 18605, 1018, 138, 107, 139, 236772, 5213, 23244, 1363, 66515, 19987, 193030, 138, 107, 139, 236772, 5213, 11355, 1030, 145982, 66515, 12263, 83918, 236793, 3435, 573, 70065, 236764, 10969, 1702, 33466, 236761, 138, 108, 7243, 108, 10354, 5213, 61192, 106408, 528, 151745, 733, 29569, 607, 842, 3836, 25171, 51508, 1018, 138, 107, 236772, 5213, 225711, 25171, 66515, 10624, 5411, 528, 38307, 4896, 1610, 236761, 138, 107, 236772, 5213, 236788, 13534, 514, 25171, 17180, 66515, 13287, 38307, 4896, 3835, 236761, 138, 107, 236772, 5213, 9175, 16842, 96170, 66515, 125222, 31868, 568, 46052, 7535, 531, 37760, 14062, 769, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 3927, 1239, 17320, 236858, 86962, 1699, 506, 2165, 2305, 236779, 5930, 236929, 5904, 607, 822, 2258, 30154, 568, 589, 20636, 30251, 236764, 56896, 3730, 236768, 532, 623, 236823, 16718, 236928, 236772, 52728, 236775, 618, 506, 7609, 236881, 1174, 1093, 1601, 8701, 3530, 4852, 16590, 506, 95385, 49052, 10040, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 3927, 1546, 529, 1239, 1903, 236743, 236810, 17320, 236789, 86962, 29772, 1699, 3927, 236779, 5930, 236761, 6890, 756, 236823, 16718, 236928, 236772, 52728, 154024, 56896, 3730, 37760, 236789, 618, 506, 30136, 532, 5957, 684, 7805, 1463, 236761, 9187, 607, 151745, 733, 29569, 193030, 63256, 1171, 753, 564, 1461, 531, 1460, 768, 901, 735, 1027, 38307, 4896, 9097, 600, 1451, 981, 573, 614, 138915, 95385, 4771, 236761, 12213, 28436, 1133, 61988, 3835, 532, 2080, 2782, 528, 506, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 547, 1083, 623, 236776, 1565, 236772, 236800, 236812, 236819, 236778, 827, 623, 3250, 1083, 623, 236823, 16718, 236785, 236756, 236771, 236771, 524, 236772, 128345, 20692, 124929, 148695, 9595, 842, 3836, 25171, 31748, 827, 623, 9707, 1083, 6610, 236770, 236764, 236828, 236810, 236771, 236761, 236771, 236771, 827, 623, 56905, 1083, 623, 902, 2862, 568, 21028, 10489, 22730, 623, 12697, 1854, 236779, 8194, 1083, 3714, 2086, 236779, 105621, 1083, 11058, 236800, 236825, 236781, 236812, 236828, 21537, 623, 236812, 236778, 236781, 236825, 236771, 21537, 623, 236812, 236828, 236781, 236832, 236778, 8455, 14255, 623, 6516, 236779, 80234, 1083, 11058, 236824, 5310, 21444, 827, 623, 153342, 827, 623, 31317, 14255, 623, 50263, 236779, 8194, 1083, 11058, 8506, 654, 827, 623, 161511, 236762, 827, 623, 2067, 2600, 152254, 623, 40227, 236779, 2289, 1083, 623, 236812, 236772, 236825, 5695, 573, 2401, 10400, 827, 623, 10140, 236779, 23184, 1083, 623, 4974, 69928, 1699, 101922, 154024, 532, 56896, 4896, 236761, 7714, 6347, 22130, 8427, 528, 3759, 1781, 104960, 623, 21052, 1083, 3714, 12655, 236779, 3456, 1083, 1847, 236764, 623, 2305, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 10140, 236779, 6275, 236779, 2289, 1083, 623, 236770, 236778, 236828, 1356, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1354, 573, 5213, 197253, 733, 29569, 193030, 63256, 1018, 1699, 822, 13138, 236787, 108, 7243, 108, 10354, 5213, 236823, 16718, 236928, 236772, 128345, 842, 3836, 25171, 31748, 1018, 138, 107, 1018, 7163, 5853, 66515, 562, 1565, 236772, 236800, 236812, 236819, 236778, 138, 107, 1018, 11280, 66515, 609, 236770, 236764, 236828, 236810, 236771, 236761, 236771, 236771, 138, 107, 1018, 51164, 66515, 799, 2862, 568, 21028, 10489, 236768, 138, 107, 1018, 16493, 1854, 28636, 66515, 138, 107, 236772, 5213, 93888, 66515, 236743, 236800, 236825, 236781, 236812, 236828, 827, 236743, 236812, 236778, 236781, 236825, 236771, 827, 236743, 236812, 236828, 236781, 236832, 236778, 236775, 138, 107, 236772, 5213, 8788, 26810, 66515, 649, 5310, 21444, 236764, 81524, 236764, 653, 10013, 138, 107, 236772, 5213, 50314, 28636, 66515, 102451, 236764, 89042, 236762, 236764, 653, 220721, 138, 108, 1018, 66825, 7578, 66515, 236743, 236812, 236772, 236825, 5695, 573, 2401, 10400, 138, 107, 1018, 26253, 66515, 138, 107, 236772, 7936, 69928, 699, 101922, 154024, 532, 56896, 3730, 4896, 236761, 138, 107, 236772, 37330, 236764, 28174, 37760, 9935, 9729, 8427, 1534, 9097, 236761, 138, 107, 236772, 45891, 573, 138915, 11665, 653, 5456, 35490, 236761, 138, 108, 7243, 108, 2094, 6347, 100146, 13275, 607, 506, 123856, 236928, 236772, 52728, 10293, 18271, 532, 2258, 33448, 611, 4970, 236761, 669, 61988, 3835, 2174, 625, 531, 7535, 531, 822, 95385, 236858, 236751, 3530, 13376, 532, 1702, 3548, 236761, 21284, 611, 1133, 786, 531, 4102, 19460, 506, 9866, 17320, 568, 236798, 70727, 208202, 236764, 223470, 187757, 236764, 4044, 2907, 573, 4767, 3835, 236764, 653, 1093, 611, 5278, 531, 11327, 672, 1698, 3342, 568, 236744, 236761, 236759, 1126, 3662, 506, 7805, 573, 11764, 22388, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 181238, 532, 1202, 1601, 54909, 506, 1689, 2436, 236761, 5315, 236764, 740, 611, 1161, 506, 21752, 236779, 26233, 236779, 1516, 236779, 547, 5904, 607, 506, 1262, 5853, 623, 1659, 236777, 32698, 236770, 160540, 236812, 14527, 1936, 236781, 2402, 236746, 236874, 236781, 236863, 236757, 1166, 11152, 236804, 236788, 236775, 531, 974, 4889, 1003, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 2436, 236881, 4298, 236764, 1531, 236789, 236751, 1879, 564, 1461, 531, 3717, 496, 91038, 993, 31979, 657, 609, 236828, 236771, 607, 496, 236743, 236778, 236810, 236908, 12223, 532, 236743, 236770, 236778, 236908, 3869, 753, 9279, 506, 1626, 3385, 1308, 14253, 506, 12223, 532, 3869, 236761, 13472, 236764, 1161, 506, 974, 236779, 108957, 236779, 2003, 236779, 63945, 236779, 3970, 5904, 607, 138604, 3393, 236743, 236810, 236819, 236819, 236819, 568, 25714, 51202, 10002, 236768, 531, 2426, 1903, 4699, 528, 181238, 4596, 531, 672, 7095, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 236779, 547, 1083, 623, 1659, 236777, 32698, 236770, 160540, 236812, 14527, 1936, 236781, 2402, 236746, 236874, 236781, 236863, 236757, 1166, 11152, 236804, 236788, 827, 623, 1201, 1083, 623, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 827, 623, 7720, 1083, 623, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 236764, 181238, 236743, 236812, 236771, 236771, 236771, 236771, 236764, 53853, 827, 623, 2084, 1083, 623, 40219, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 35522, 236779, 24392, 1083, 3714, 49381, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 55703, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 58189, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 54904, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 45262, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 827, 623, 46325, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 827, 623, 48049, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 23179, 623, 7777, 1083, 623, 818, 1689, 6281, 532, 2436, 528, 181238, 236789, 236751, 1470, 1630, 7737, 236764, 9639, 573, 1061, 3925, 213160, 236764, 30680, 236764, 532, 6672, 94578, 90873, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 70343, 524, 236779, 9707, 1083, 236743, 236825, 236771, 236764, 623, 6725, 236779, 9707, 236779, 4060, 236779, 21519, 1083, 236743, 236825, 236832, 236761, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 108957, 1083, 78493, 25385, 236779, 1201, 1083, 623, 9585, 169945, 10577, 236767, 43499, 616, 11220, 827, 623, 7720, 1083, 623, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 236764, 181238, 236764, 53853, 827, 623, 63945, 236779, 3970, 1083, 236743, 236810, 236819, 236819, 236819, 236764, 623, 57512, 1083, 623, 167489, 43499, 23179, 3714, 25385, 236779, 1201, 1083, 623, 120761, 193030, 110274, 827, 623, 7720, 1083, 623, 17361, 236763, 99639, 24914, 236764, 181238, 236743, 236812, 236771, 236771, 236771, 236771, 827, 623, 63945, 236779, 3970, 1083, 236743, 236810, 236819, 236819, 236819, 236764, 623, 57512, 1083, 623, 167489, 43499, 23179, 3714, 25385, 236779, 1201, 1083, 623, 9264, 4085, 85091, 2372, 10498, 623, 7720, 1083, 623, 236776, 6109, 47040, 782, 236764, 181238, 827, 623, 63945, 236779, 3970, 1083, 236743, 236810, 236819, 236819, 236819, 236764, 623, 57512, 1083, 623, 167489, 43499, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 181238, 7946, 6995, 236787, 108, 1018, 236770, 236761, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 12726, 20303, 53121, 107, 236772, 5213, 6375, 53121, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 236764, 181238, 236743, 236812, 236771, 236771, 236771, 236771, 236764, 53853, 107, 236772, 5213, 2328, 53121, 43899, 12726, 568, 38049, 236767, 236768, 107, 236772, 5213, 35835, 53121, 7607, 6376, 699, 236743, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 568, 48064, 38735, 580, 100047, 236786, 236773, 4589, 14356, 236768, 107, 236772, 5213, 126115, 53121, 75820, 573, 3925, 213160, 236764, 30680, 236764, 532, 24636, 94578, 90873, 107, 236772, 5213, 12127, 53121, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 108, 1018, 236778, 236761, 10577, 25914, 14584, 86249, 53121, 107, 236772, 5213, 30498, 14584, 53121, 609, 236828, 236771, 107, 236772, 5213, 236778, 236810, 236908, 66272, 53121, 609, 236778, 236771, 1135, 16130, 609, 236825, 236771, 53838, 3385, 107, 236772, 5213, 236770, 236778, 236908, 16439, 53121, 609, 236832, 236761, 236778, 236771, 16130, 5213, 9640, 16187, 14584, 236787, 609, 236825, 236832, 236761, 236778, 236771, 1018, 108, 1018, 236800, 236761, 8231, 110939, 43499, 33464, 528, 181238, 568, 206908, 236743, 236810, 236819, 236819, 236819, 1473, 1018, 107, 236770, 236761, 5213, 9585, 169945, 10577, 236767, 43499, 616, 11220, 1018, 138, 107, 139, 236769, 63549, 528, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 2436, 236768, 108, 236778, 236761, 5213, 120761, 193030, 110274, 1018, 138, 107, 139, 236769, 17361, 236763, 99639, 24914, 7905, 236764, 68916, 528, 2263, 34294, 236768, 108, 236800, 236761, 5213, 9264, 4085, 85091, 2372, 99382, 138, 107, 139, 236769, 191958, 782, 17463, 4563, 236764, 6672, 94578, 9061, 236768, 108, 38786, 611, 1133, 1027, 4767, 4889, 1003, 3530, 90873, 531, 1385, 573, 653, 11221, 573, 67112, 506, 2436, 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 ]
[ 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, 1202, 1601, 54909, 506, 1689, 2436, 236761, 5315, 236764, 740, 611, 1161, 506, 21752, 236779, 26233, 236779, 1516, 236779, 547, 5904, 607, 506, 1262, 5853, 623, 1659, 236777, 32698, 236770, 160540, 236812, 14527, 1936, 236781, 2402, 236746, 236874, 236781, 236863, 236757, 1166, 11152, 236804, 236788, 236775, 531, 974, 4889, 1003, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 2436, 236881, 4298, 236764, 1531, 236789, 236751, 1879, 564, 1461, 531, 3717, 496, 91038, 993, 31979, 657, 609, 236828, 236771, 607, 496, 236743, 236778, 236810, 236908, 12223, 532, 236743, 236770, 236778, 236908, 3869, 753, 9279, 506, 1626, 3385, 1308, 14253, 506, 12223, 532, 3869, 236761, 13472, 236764, 1161, 506, 974, 236779, 108957, 236779, 2003, 236779, 63945, 236779, 3970, 5904, 607, 138604, 3393, 236743, 236810, 236819, 236819, 236819, 568, 25714, 51202, 10002, 236768, 531, 2426, 1903, 4699, 528, 181238, 4596, 531, 672, 7095, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 236779, 547, 1083, 623, 1659, 236777, 32698, 236770, 160540, 236812, 14527, 1936, 236781, 2402, 236746, 236874, 236781, 236863, 236757, 1166, 11152, 236804, 236788, 827, 623, 1201, 1083, 623, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 827, 623, 7720, 1083, 623, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 236764, 181238, 236743, 236812, 236771, 236771, 236771, 236771, 236764, 53853, 827, 623, 2084, 1083, 623, 40219, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 35522, 236779, 24392, 1083, 3714, 49381, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 55703, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 58189, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 54904, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 827, 623, 45262, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 827, 623, 46325, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 827, 623, 48049, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 23179, 623, 7777, 1083, 623, 818, 1689, 6281, 532, 2436, 528, 181238, 236789, 236751, 1470, 1630, 7737, 236764, 9639, 573, 1061, 3925, 213160, 236764, 30680, 236764, 532, 6672, 94578, 90873, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 70343, 524, 236779, 9707, 1083, 236743, 236825, 236771, 236764, 623, 6725, 236779, 9707, 236779, 4060, 236779, 21519, 1083, 236743, 236825, 236832, 236761, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 108957, 1083, 78493, 25385, 236779, 1201, 1083, 623, 9585, 169945, 10577, 236767, 43499, 616, 11220, 827, 623, 7720, 1083, 623, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 236764, 181238, 236764, 53853, 827, 623, 63945, 236779, 3970, 1083, 236743, 236810, 236819, 236819, 236819, 236764, 623, 57512, 1083, 623, 167489, 43499, 23179, 3714, 25385, 236779, 1201, 1083, 623, 120761, 193030, 110274, 827, 623, 7720, 1083, 623, 17361, 236763, 99639, 24914, 236764, 181238, 236743, 236812, 236771, 236771, 236771, 236771, 827, 623, 63945, 236779, 3970, 1083, 236743, 236810, 236819, 236819, 236819, 236764, 623, 57512, 1083, 623, 167489, 43499, 23179, 3714, 25385, 236779, 1201, 1083, 623, 9264, 4085, 85091, 2372, 10498, 623, 7720, 1083, 623, 236776, 6109, 47040, 782, 236764, 181238, 827, 623, 63945, 236779, 3970, 1083, 236743, 236810, 236819, 236819, 236819, 236764, 623, 57512, 1083, 623, 167489, 43499, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 181238, 7946, 6995, 236787, 108, 1018, 236770, 236761, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 12726, 20303, 53121, 107, 236772, 5213, 6375, 53121, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 236764, 181238, 236743, 236812, 236771, 236771, 236771, 236771, 236764, 53853, 107, 236772, 5213, 2328, 53121, 43899, 12726, 568, 38049, 236767, 236768, 107, 236772, 5213, 35835, 53121, 7607, 6376, 699, 236743, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8711, 568, 48064, 38735, 580, 100047, 236786, 236773, 4589, 14356, 236768, 107, 236772, 5213, 126115, 53121, 75820, 573, 3925, 213160, 236764, 30680, 236764, 532, 24636, 94578, 90873, 107, 236772, 5213, 12127, 53121, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 108, 1018, 236778, 236761, 10577, 25914, 14584, 86249, 53121, 107, 236772, 5213, 30498, 14584, 53121, 609, 236828, 236771, 107, 236772, 5213, 236778, 236810, 236908, 66272, 53121, 609, 236778, 236771, 1135, 16130, 609, 236825, 236771, 53838, 3385, 107, 236772, 5213, 236770, 236778, 236908, 16439, 53121, 609, 236832, 236761, 236778, 236771, 16130, 5213, 9640, 16187, 14584, 236787, 609, 236825, 236832, 236761, 236778, 236771, 1018, 108, 1018, 236800, 236761, 8231, 110939, 43499, 33464, 528, 181238, 568, 206908, 236743, 236810, 236819, 236819, 236819, 1473, 1018, 107, 236770, 236761, 5213, 9585, 169945, 10577, 236767, 43499, 616, 11220, 1018, 138, 107, 139, 236769, 63549, 528, 730, 5680, 236746, 862, 236772, 236811, 1789, 236746, 2436, 236768, 108, 236778, 236761, 5213, 120761, 193030, 110274, 1018, 138, 107, 139, 236769, 17361, 236763, 99639, 24914, 7905, 236764, 68916, 528, 2263, 34294, 236768, 108, 236800, 236761, 5213, 9264, 4085, 85091, 2372, 99382, 138, 107, 139, 236769, 191958, 782, 17463, 4563, 236764, 6672, 94578, 9061, 236768, 108, 38786, 611, 1133, 1027, 4767, 4889, 1003, 3530, 90873, 531, 1385, 573, 653, 11221, 573, 67112, 506, 2436, 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, 21513, 236761, 564, 236789, 236757, 10848, 3075, 496, 11048, 573, 1041, 27893, 2299, 1003, 6693, 9624, 26545, 236764, 10916, 19541, 580, 19127, 3640, 236789, 236751, 11858, 3736, 2342, 9115, 19571, 528, 506, 30086, 9654, 1024, 506, 1774, 15588, 236761, 5315, 236764, 564, 1202, 531, 9128, 768, 993, 659, 1027, 12853, 1534, 19127, 3640, 532, 9115, 19571, 528, 600, 99299, 236761, 1637, 993, 659, 236764, 564, 1461, 506, 9813, 4241, 1262, 568, 16603, 14900, 236764, 37643, 236764, 532, 18006, 19401, 769, 1637, 711, 236764, 564, 236789, 236753, 1133, 611, 531, 38179, 532, 33205, 506, 1262, 573, 7830, 19571, 5205, 237028, 25142, 7001, 563, 506, 2148, 1346, 7798, 2891, 573, 1023, 3671, 236761, 3199, 611, 6060, 600, 7501, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 50001, 1083, 623, 181509, 30086, 9654, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 8147, 236779, 14992, 1083, 623, 74246, 3640, 827, 623, 14968, 236779, 14992, 1083, 623, 67157, 35678, 81924, 827, 623, 6109, 1083, 623, 21221, 111911, 827, 623, 8318, 1083, 623, 236778, 236772, 236770, 827, 623, 3709, 1083, 623, 17561, 23179, 3714, 50001, 1083, 623, 181509, 30086, 9654, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 8147, 236779, 14992, 1083, 623, 74246, 3640, 827, 623, 14968, 236779, 14992, 1083, 623, 67157, 35678, 81924, 827, 623, 6109, 1083, 623, 53159, 7480, 5216, 4556, 827, 623, 8318, 1083, 623, 236770, 236772, 236770, 827, 623, 3709, 1083, 623, 14575, 23179, 3714, 50001, 1083, 623, 181509, 30086, 9654, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236770, 236770, 236772, 236771, 236825, 827, 623, 8147, 236779, 14992, 1083, 623, 74246, 3640, 827, 623, 14968, 236779, 14992, 1083, 623, 218437, 46566, 827, 623, 6109, 1083, 623, 21221, 111911, 827, 623, 8318, 1083, 623, 236771, 236772, 236778, 827, 623, 3709, 1083, 623, 43279, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 1262, 573, 19127, 3640, 236789, 236751, 12853, 2342, 9115, 19571, 528, 506, 56588, 30086, 9654, 1024, 506, 1774, 15588, 568, 236778, 236771, 236770, 236800, 236772, 236778, 236771, 236778, 236800, 1473, 108, 7243, 108, 1018, 74246, 3640, 7728, 236761, 9115, 87176, 568, 181509, 30086, 9654, 1473, 1018, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 1018, 138, 107, 139, 236829, 21221, 111911, 236829, 1109, 5213, 74246, 3640, 236743, 236778, 236964, 236770, 139016, 81924, 1018, 568, 17561, 236768, 138, 107, 139, 236829, 3883, 32079, 236829, 108, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236778, 1018, 138, 107, 139, 236829, 53159, 7480, 5216, 4556, 236829, 1109, 5213, 74246, 3640, 236743, 236770, 236964, 236770, 139016, 81924, 1018, 568, 14575, 236768, 138, 107, 139, 236829, 3883, 32079, 236829, 108, 236800, 236761, 5213, 236778, 236771, 236770, 236819, 236772, 236770, 236770, 236772, 236771, 236825, 1018, 138, 107, 139, 236829, 21221, 111911, 236829, 1109, 5213, 74246, 3640, 236743, 236771, 236964, 236778, 53104, 46566, 1018, 568, 43279, 236768, 138, 107, 139, 236829, 3883, 32079, 236829, 108, 7243, 108, 240732, 5213, 9640, 12853, 1765, 66515, 236743, 236800, 138, 107, 240732, 5213, 3243, 12853, 3798, 2351, 506, 15633, 99299, 568, 5455, 15588, 62902, 138, 107, 240732, 5213, 3243, 31445, 659, 9115, 19571, 1018, 568, 67157, 35678, 81924, 236764, 53104, 46566, 236768, 108, 3771, 1202, 531, 38179, 531, 7830, 19571, 237028, 1580, 1262, 6340, 19495, 822, 2864, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 3671, 568, 236744, 236761, 236759, 1126, 684, 19573, 1722, 236764, 18006, 5420, 236764, 653, 4767, 20673, 47473, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21513, 236761, 564, 236789, 236757, 10848, 3075, 496, 11048, 573, 1041, 27893, 2299, 1003, 6693, 9624, 26545, 236764, 10916, 19541, 580, 19127, 3640, 236789, 236751, 11858, 3736, 2342, 9115, 19571, 528, 506, 30086, 9654, 1024, 506, 1774, 15588, 236761, 5315, 236764, 564, 1202, 531, 9128, 768, 993, 659, 1027, 12853, 1534, 19127, 3640, 532, 9115, 19571, 528, 600, 99299, 236761, 1637, 993, 659, 236764, 564, 1461, 506, 9813, 4241, 1262, 568, 16603, 14900, 236764, 37643, 236764, 532, 18006, 19401, 769, 1637, 711, 236764, 564, 236789, 236753, 1133, 611, 531, 38179, 532, 33205, 506, 1262, 573, 7830, 19571, 5205, 237028, 25142, 7001, 563, 506, 2148, 1346, 7798, 2891, 573, 1023, 3671, 236761, 3199, 611, 6060, 600, 7501, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 50001, 1083, 623, 181509, 30086, 9654, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 8147, 236779, 14992, 1083, 623, 74246, 3640, 827, 623, 14968, 236779, 14992, 1083, 623, 67157, 35678, 81924, 827, 623, 6109, 1083, 623, 21221, 111911, 827, 623, 8318, 1083, 623, 236778, 236772, 236770, 827, 623, 3709, 1083, 623, 17561, 23179, 3714, 50001, 1083, 623, 181509, 30086, 9654, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 8147, 236779, 14992, 1083, 623, 74246, 3640, 827, 623, 14968, 236779, 14992, 1083, 623, 67157, 35678, 81924, 827, 623, 6109, 1083, 623, 53159, 7480, 5216, 4556, 827, 623, 8318, 1083, 623, 236770, 236772, 236770, 827, 623, 3709, 1083, 623, 14575, 23179, 3714, 50001, 1083, 623, 181509, 30086, 9654, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236770, 236770, 236772, 236771, 236825, 827, 623, 8147, 236779, 14992, 1083, 623, 74246, 3640, 827, 623, 14968, 236779, 14992, 1083, 623, 218437, 46566, 827, 623, 6109, 1083, 623, 21221, 111911, 827, 623, 8318, 1083, 623, 236771, 236772, 236778, 827, 623, 3709, 1083, 623, 43279, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 1262, 573, 19127, 3640, 236789, 236751, 12853, 2342, 9115, 19571, 528, 506, 56588, 30086, 9654, 1024, 506, 1774, 15588, 568, 236778, 236771, 236770, 236800, 236772, 236778, 236771, 236778, 236800, 1473, 108, 7243, 108, 1018, 74246, 3640, 7728, 236761, 9115, 87176, 568, 181509, 30086, 9654, 1473, 1018, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 1018, 138, 107, 139, 236829, 21221, 111911, 236829, 1109, 5213, 74246, 3640, 236743, 236778, 236964, 236770, 139016, 81924, 1018, 568, 17561, 236768, 138, 107, 139, 236829, 3883, 32079, 236829, 108, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236778, 1018, 138, 107, 139, 236829, 53159, 7480, 5216, 4556, 236829, 1109, 5213, 74246, 3640, 236743, 236770, 236964, 236770, 139016, 81924, 1018, 568, 14575, 236768, 138, 107, 139, 236829, 3883, 32079, 236829, 108, 236800, 236761, 5213, 236778, 236771, 236770, 236819, 236772, 236770, 236770, 236772, 236771, 236825, 1018, 138, 107, 139, 236829, 21221, 111911, 236829, 1109, 5213, 74246, 3640, 236743, 236771, 236964, 236778, 53104, 46566, 1018, 568, 43279, 236768, 138, 107, 139, 236829, 3883, 32079, 236829, 108, 7243, 108, 240732, 5213, 9640, 12853, 1765, 66515, 236743, 236800, 138, 107, 240732, 5213, 3243, 12853, 3798, 2351, 506, 15633, 99299, 568, 5455, 15588, 62902, 138, 107, 240732, 5213, 3243, 31445, 659, 9115, 19571, 1018, 568, 67157, 35678, 81924, 236764, 53104, 46566, 236768, 108, 3771, 1202, 531, 38179, 531, 7830, 19571, 237028, 1580, 1262, 6340, 19495, 822, 2864, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 3671, 568, 236744, 236761, 236759, 1126, 684, 19573, 1722, 236764, 18006, 5420, 236764, 653, 4767, 20673, 47473, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1461, 531, 2731, 496, 7946, 531, 496, 10883, 9744, 528, 25428, 236764, 3361, 531, 506, 5906, 564, 13896, 1518, 4578, 236761, 3792, 236858, 236751, 1502, 684, 8159, 11024, 528, 25428, 74252, 618, 2141, 30417, 25686, 236858, 1699, 506, 22344, 5904, 236761, 9920, 692, 735, 1724, 236764, 2426, 837, 29807, 12833, 22344, 531, 1724, 34091, 699, 26217, 40597, 17526, 568, 18540, 236824, 769, 12067, 236764, 974, 2436, 532, 15130, 4889, 573, 25428, 531, 3050, 2263, 21212, 236761, 13472, 236764, 3927, 573, 1295, 53804, 2487, 657, 506, 12892, 573, 5453, 236772, 36817, 531, 5453, 236772, 36956, 236761, 7062, 236764, 532, 1386, 2889, 506, 1295, 20310, 2536, 3204, 21212, 528, 506, 2263, 15130, 236761, 3792, 236858, 236751, 817, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21853, 1083, 78493, 1201, 1083, 623, 79422, 53478, 827, 623, 2084, 1083, 623, 13319, 827, 623, 3970, 1083, 623, 236774, 4110, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236810, 236761, 236771, 236800, 236778, 236819, 236825, 236819, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236770, 236761, 236810, 236825, 236810, 236812, 236771, 236828, 5237, 3714, 1201, 1083, 623, 236874, 23955, 827, 623, 2084, 1083, 623, 78660, 827, 623, 3970, 1083, 15437, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236812, 236761, 236825, 236825, 236825, 236825, 236825, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236770, 236761, 236832, 236810, 5237, 3714, 1201, 1083, 623, 236814, 884, 1843, 827, 623, 2084, 1083, 623, 13319, 827, 623, 3970, 1083, 623, 205027, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236800, 236761, 236819, 236832, 236800, 236810, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236770, 236761, 236825, 236771, 236832, 236810, 5237, 3714, 1201, 1083, 623, 2368, 156684, 827, 623, 2084, 1083, 623, 61736, 2433, 827, 623, 3970, 1083, 15437, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236800, 236761, 236810, 236770, 236825, 236825, 236825, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236771, 236761, 236828, 236770, 236825, 236825, 236825, 236832, 1807, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 168418, 1083, 78493, 82506, 236779, 547, 1083, 623, 30455, 827, 623, 10602, 236779, 1201, 1083, 623, 4722, 5661, 40853, 827, 623, 127571, 236779, 3970, 1083, 623, 30455, 23179, 3714, 82506, 236779, 547, 1083, 623, 8686, 827, 623, 10602, 236779, 1201, 1083, 623, 14645, 37403, 827, 623, 127571, 236779, 3970, 1083, 623, 8686, 23179, 3714, 82506, 236779, 547, 1083, 623, 23908, 827, 623, 10602, 236779, 1201, 1083, 623, 27211, 37403, 827, 623, 127571, 236779, 3970, 1083, 623, 23908, 23179, 3714, 82506, 236779, 547, 1083, 623, 5635, 827, 623, 10602, 236779, 1201, 1083, 623, 31939, 37403, 827, 623, 127571, 236779, 3970, 1083, 623, 9575, 23179, 3714, 82506, 236779, 547, 1083, 623, 211136, 827, 623, 10602, 236779, 1201, 1083, 623, 211136, 5661, 827, 623, 127571, 236779, 3970, 1083, 623, 12357, 23179, 3714, 82506, 236779, 547, 1083, 623, 236292, 827, 623, 10602, 236779, 1201, 1083, 623, 50693, 7991, 11560, 60998, 827, 623, 127571, 236779, 3970, 1083, 623, 236800, 236855, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 58049, 1083, 78493, 14801, 236779, 3970, 1083, 623, 47747, 827, 623, 69410, 236779, 1201, 1083, 623, 120017, 827, 623, 27617, 1083, 3714, 3970, 1083, 623, 236774, 31284, 827, 623, 22037, 1083, 623, 14341, 122317, 623, 69410, 236779, 22037, 1083, 6443, 236756, 236825, 236810, 236763, 236771, 236785, 236756, 236810, 236800, 236760, 236771, 236785, 236756, 236810, 236744, 236825, 236800, 23179, 623, 4818, 1083, 623, 5034, 25938, 1604, 623, 50362, 1083, 623, 501, 236772, 3118, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 49486, 1083, 78493, 41239, 236779, 1201, 1083, 623, 120803, 142715, 23165, 511, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 236774, 31284, 827, 623, 7284, 3843, 1083, 3714, 32320, 236779, 4720, 1083, 236743, 236825, 236770, 236825, 236761, 236825, 236832, 236764, 623, 85512, 1083, 236743, 236770, 236828, 236810, 236771, 5237, 623, 42103, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 101436, 1083, 623, 6329, 236824, 5012, 827, 623, 33432, 676, 1083, 623, 154272, 23179, 623, 56905, 1083, 3714, 83625, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 827, 623, 8658, 2865, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 236775, 5237, 3714, 41239, 236779, 1201, 1083, 623, 116379, 11862, 236772, 236847, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236778, 236812, 236778, 236771, 236771, 236764, 623, 27617, 1083, 623, 236774, 31284, 827, 623, 7284, 3843, 1083, 3714, 32320, 236779, 4720, 1083, 236743, 236828, 236771, 236825, 236761, 236825, 236832, 236764, 623, 85512, 1083, 236743, 236778, 236812, 236778, 236771, 5237, 623, 42103, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 2416, 236764, 623, 101436, 1083, 623, 6329, 236824, 900, 112109, 18157, 827, 623, 33432, 676, 1083, 623, 236770, 236771, 236771, 11375, 236786, 1496, 5012, 23179, 623, 56905, 1083, 3714, 83625, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 827, 623, 8658, 2865, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 127096, 1604, 623, 27617, 1083, 623, 236774, 31284, 827, 623, 2763, 37755, 1083, 623, 69966, 3505, 3204, 2263, 14171, 532, 12412, 236761, 21174, 3755, 9729, 684, 12454, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 13957, 7946, 6995, 1938, 573, 25428, 236787, 108, 236770, 236761, 5213, 40342, 21969, 202866, 528, 25428, 1018, 138, 107, 139, 236772, 5213, 236874, 23955, 5796, 1018, 568, 116994, 102694, 2433, 236768, 138, 107, 139, 236772, 5213, 2368, 156684, 17587, 14133, 1018, 568, 1166, 44150, 10883, 4128, 236768, 138, 107, 139, 236772, 808, 10282, 149681, 84713, 568, 41626, 3207, 236768, 532, 640, 884, 1843, 568, 8819, 3988, 236768, 659, 5012, 528, 10224, 1262, 840, 711, 21296, 618, 10883, 25686, 236761, 108, 236778, 236761, 5213, 21550, 186777, 1018, 138, 107, 139, 38322, 40843, 12284, 25428, 3204, 236787, 138, 107, 139, 236772, 22616, 5661, 40853, 568, 30455, 236768, 138, 107, 139, 236772, 3668, 37403, 568, 8686, 236768, 138, 107, 139, 236772, 3640, 37403, 568, 23908, 236768, 138, 107, 139, 236772, 5818, 37403, 568, 9575, 236768, 138, 107, 139, 236772, 103723, 5661, 568, 12357, 236768, 138, 107, 139, 236772, 36734, 7991, 11560, 568, 236800, 236855, 236768, 138, 107, 139, 236829, 10282, 149681, 40170, 16266, 699, 32528, 236824, 531, 10883, 25686, 1660, 3342, 28250, 607, 40843, 236761, 108, 236800, 236761, 5213, 40219, 833, 59547, 20303, 1018, 138, 107, 139, 236772, 5213, 51574, 53121, 1799, 25428, 46754, 568, 236774, 31284, 236786, 14341, 36957, 138, 107, 139, 236772, 5213, 144582, 53121, 5422, 568, 120017, 236768, 6518, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 2436, 573, 4301, 52246, 108, 236812, 236761, 5213, 9767, 79671, 28636, 568, 20123, 236743, 236770, 236810, 753, 8934, 236743, 236770, 236810, 62902, 138, 107, 139, 236772, 5213, 120803, 142715, 23165, 511, 1018, 138, 107, 141, 236772, 12613, 236787, 24505, 236795, 236770, 236828, 236764, 236810, 236771, 236771, 75720, 236795, 236810, 236828, 236771, 23058, 236768, 138, 107, 141, 236772, 49308, 34020, 51239, 532, 8080, 236824, 8657, 138, 107, 141, 236772, 9617, 32735, 2487, 138, 107, 139, 236772, 5213, 116379, 11862, 236772, 236847, 1018, 138, 107, 141, 236772, 12613, 236787, 24505, 236795, 236778, 236812, 236764, 236778, 236771, 236771, 75720, 236795, 236832, 236825, 236771, 23058, 236768, 138, 107, 141, 236772, 19159, 531, 236743, 236770, 236771, 236771, 11375, 236786, 1496, 607, 16595, 8657, 138, 107, 141, 236772, 2301, 2196, 32735, 138, 108, 1018, 211199, 53121, 138, 107, 11431, 29807, 5467, 531, 9128, 32528, 236824, 236772, 1071, 236772, 30417, 236772, 34070, 10224, 15830, 236761, 1701, 1295, 53804, 236764, 506, 142715, 5469, 2480, 19142, 573, 13023, 22824, 236761, 37341, 3505, 3204, 2263, 14171, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1461, 531, 2731, 496, 7946, 531, 496, 10883, 9744, 528, 25428, 236764, 3361, 531, 506, 5906, 564, 13896, 1518, 4578, 236761, 3792, 236858, 236751, 1502, 684, 8159, 11024, 528, 25428, 74252, 618, 2141, 30417, 25686, 236858, 1699, 506, 22344, 5904, 236761, 9920, 692, 735, 1724, 236764, 2426, 837, 29807, 12833, 22344, 531, 1724, 34091, 699, 26217, 40597, 17526, 568, 18540, 236824, 769, 12067, 236764, 974, 2436, 532, 15130, 4889, 573, 25428, 531, 3050, 2263, 21212, 236761, 13472, 236764, 3927, 573, 1295, 53804, 2487, 657, 506, 12892, 573, 5453, 236772, 36817, 531, 5453, 236772, 36956, 236761, 7062, 236764, 532, 1386, 2889, 506, 1295, 20310, 2536, 3204, 21212, 528, 506, 2263, 15130, 236761, 3792, 236858, 236751, 817, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21853, 1083, 78493, 1201, 1083, 623, 79422, 53478, 827, 623, 2084, 1083, 623, 13319, 827, 623, 3970, 1083, 623, 236774, 4110, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236810, 236761, 236771, 236800, 236778, 236819, 236825, 236819, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236770, 236761, 236810, 236825, 236810, 236812, 236771, 236828, 5237, 3714, 1201, 1083, 623, 236874, 23955, 827, 623, 2084, 1083, 623, 78660, 827, 623, 3970, 1083, 15437, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236812, 236761, 236825, 236825, 236825, 236825, 236825, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236770, 236761, 236832, 236810, 5237, 3714, 1201, 1083, 623, 236814, 884, 1843, 827, 623, 2084, 1083, 623, 13319, 827, 623, 3970, 1083, 623, 205027, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236800, 236761, 236819, 236832, 236800, 236810, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236770, 236761, 236825, 236771, 236832, 236810, 5237, 3714, 1201, 1083, 623, 2368, 156684, 827, 623, 2084, 1083, 623, 61736, 2433, 827, 623, 3970, 1083, 15437, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236800, 236761, 236810, 236770, 236825, 236825, 236825, 236832, 236764, 623, 41713, 1083, 236743, 236770, 236778, 236771, 236761, 236828, 236770, 236825, 236825, 236825, 236832, 1807, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 168418, 1083, 78493, 82506, 236779, 547, 1083, 623, 30455, 827, 623, 10602, 236779, 1201, 1083, 623, 4722, 5661, 40853, 827, 623, 127571, 236779, 3970, 1083, 623, 30455, 23179, 3714, 82506, 236779, 547, 1083, 623, 8686, 827, 623, 10602, 236779, 1201, 1083, 623, 14645, 37403, 827, 623, 127571, 236779, 3970, 1083, 623, 8686, 23179, 3714, 82506, 236779, 547, 1083, 623, 23908, 827, 623, 10602, 236779, 1201, 1083, 623, 27211, 37403, 827, 623, 127571, 236779, 3970, 1083, 623, 23908, 23179, 3714, 82506, 236779, 547, 1083, 623, 5635, 827, 623, 10602, 236779, 1201, 1083, 623, 31939, 37403, 827, 623, 127571, 236779, 3970, 1083, 623, 9575, 23179, 3714, 82506, 236779, 547, 1083, 623, 211136, 827, 623, 10602, 236779, 1201, 1083, 623, 211136, 5661, 827, 623, 127571, 236779, 3970, 1083, 623, 12357, 23179, 3714, 82506, 236779, 547, 1083, 623, 236292, 827, 623, 10602, 236779, 1201, 1083, 623, 50693, 7991, 11560, 60998, 827, 623, 127571, 236779, 3970, 1083, 623, 236800, 236855, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 58049, 1083, 78493, 14801, 236779, 3970, 1083, 623, 47747, 827, 623, 69410, 236779, 1201, 1083, 623, 120017, 827, 623, 27617, 1083, 3714, 3970, 1083, 623, 236774, 31284, 827, 623, 22037, 1083, 623, 14341, 122317, 623, 69410, 236779, 22037, 1083, 6443, 236756, 236825, 236810, 236763, 236771, 236785, 236756, 236810, 236800, 236760, 236771, 236785, 236756, 236810, 236744, 236825, 236800, 23179, 623, 4818, 1083, 623, 5034, 25938, 1604, 623, 50362, 1083, 623, 501, 236772, 3118, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 49486, 1083, 78493, 41239, 236779, 1201, 1083, 623, 120803, 142715, 23165, 511, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 236774, 31284, 827, 623, 7284, 3843, 1083, 3714, 32320, 236779, 4720, 1083, 236743, 236825, 236770, 236825, 236761, 236825, 236832, 236764, 623, 85512, 1083, 236743, 236770, 236828, 236810, 236771, 5237, 623, 42103, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 1847, 236764, 623, 101436, 1083, 623, 6329, 236824, 5012, 827, 623, 33432, 676, 1083, 623, 154272, 23179, 623, 56905, 1083, 3714, 83625, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 827, 623, 8658, 2865, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 236775, 5237, 3714, 41239, 236779, 1201, 1083, 623, 116379, 11862, 236772, 236847, 827, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236778, 236812, 236778, 236771, 236771, 236764, 623, 27617, 1083, 623, 236774, 31284, 827, 623, 7284, 3843, 1083, 3714, 32320, 236779, 4720, 1083, 236743, 236828, 236771, 236825, 236761, 236825, 236832, 236764, 623, 85512, 1083, 236743, 236778, 236812, 236778, 236771, 5237, 623, 42103, 1083, 3714, 6796, 236779, 236755, 47996, 1083, 2416, 236764, 623, 101436, 1083, 623, 6329, 236824, 900, 112109, 18157, 827, 623, 33432, 676, 1083, 623, 236770, 236771, 236771, 11375, 236786, 1496, 5012, 23179, 623, 56905, 1083, 3714, 83625, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 827, 623, 8658, 2865, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236862, 236771, 236828, 236787, 236771, 236771, 127096, 1604, 623, 27617, 1083, 623, 236774, 31284, 827, 623, 2763, 37755, 1083, 623, 69966, 3505, 3204, 2263, 14171, 532, 12412, 236761, 21174, 3755, 9729, 684, 12454, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 13957, 7946, 6995, 1938, 573, 25428, 236787, 108, 236770, 236761, 5213, 40342, 21969, 202866, 528, 25428, 1018, 138, 107, 139, 236772, 5213, 236874, 23955, 5796, 1018, 568, 116994, 102694, 2433, 236768, 138, 107, 139, 236772, 5213, 2368, 156684, 17587, 14133, 1018, 568, 1166, 44150, 10883, 4128, 236768, 138, 107, 139, 236772, 808, 10282, 149681, 84713, 568, 41626, 3207, 236768, 532, 640, 884, 1843, 568, 8819, 3988, 236768, 659, 5012, 528, 10224, 1262, 840, 711, 21296, 618, 10883, 25686, 236761, 108, 236778, 236761, 5213, 21550, 186777, 1018, 138, 107, 139, 38322, 40843, 12284, 25428, 3204, 236787, 138, 107, 139, 236772, 22616, 5661, 40853, 568, 30455, 236768, 138, 107, 139, 236772, 3668, 37403, 568, 8686, 236768, 138, 107, 139, 236772, 3640, 37403, 568, 23908, 236768, 138, 107, 139, 236772, 5818, 37403, 568, 9575, 236768, 138, 107, 139, 236772, 103723, 5661, 568, 12357, 236768, 138, 107, 139, 236772, 36734, 7991, 11560, 568, 236800, 236855, 236768, 138, 107, 139, 236829, 10282, 149681, 40170, 16266, 699, 32528, 236824, 531, 10883, 25686, 1660, 3342, 28250, 607, 40843, 236761, 108, 236800, 236761, 5213, 40219, 833, 59547, 20303, 1018, 138, 107, 139, 236772, 5213, 51574, 53121, 1799, 25428, 46754, 568, 236774, 31284, 236786, 14341, 36957, 138, 107, 139, 236772, 5213, 144582, 53121, 5422, 568, 120017, 236768, 6518, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 2436, 573, 4301, 52246, 108, 236812, 236761, 5213, 9767, 79671, 28636, 568, 20123, 236743, 236770, 236810, 753, 8934, 236743, 236770, 236810, 62902, 138, 107, 139, 236772, 5213, 120803, 142715, 23165, 511, 1018, 138, 107, 141, 236772, 12613, 236787, 24505, 236795, 236770, 236828, 236764, 236810, 236771, 236771, 75720, 236795, 236810, 236828, 236771, 23058, 236768, 138, 107, 141, 236772, 49308, 34020, 51239, 532, 8080, 236824, 8657, 138, 107, 141, 236772, 9617, 32735, 2487, 138, 107, 139, 236772, 5213, 116379, 11862, 236772, 236847, 1018, 138, 107, 141, 236772, 12613, 236787, 24505, 236795, 236778, 236812, 236764, 236778, 236771, 236771, 75720, 236795, 236832, 236825, 236771, 23058, 236768, 138, 107, 141, 236772, 19159, 531, 236743, 236770, 236771, 236771, 11375, 236786, 1496, 607, 16595, 8657, 138, 107, 141, 236772, 2301, 2196, 32735, 138, 108, 1018, 211199, 53121, 138, 107, 11431, 29807, 5467, 531, 9128, 32528, 236824, 236772, 1071, 236772, 30417, 236772, 34070, 10224, 15830, 236761, 1701, 1295, 53804, 236764, 506, 142715, 5469, 2480, 19142, 573, 13023, 22824, 236761, 37341, 3505, 3204, 2263, 14171, 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, 88323, 236764, 532, 564, 236789, 236757, 6995, 496, 2299, 7946, 531, 506, 26966, 529, 64314, 573, 1041, 4690, 2148, 2297, 236761, 564, 1202, 531, 2619, 496, 44426, 3393, 573, 506, 76717, 607, 506, 27071, 16047, 3393, 24554, 528, 506, 10739, 236761, 5315, 236764, 740, 611, 1385, 872, 506, 564, 12734, 3393, 573, 27071, 17526, 1699, 506, 52132, 236779, 2003, 236779, 42999, 5904, 607, 506, 30136, 623, 177515, 236764, 13531, 51653, 4298, 564, 236789, 859, 1161, 600, 3393, 531, 8729, 506, 44426, 3393, 573, 506, 10739, 623, 2574, 1411, 4142, 84282, 750, 1591, 59667, 236761, 854, 236786, 509, 159502, 236881, 140323, 12430, 28714, 201650, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1404, 3370, 1083, 78493, 1201, 1083, 623, 177515, 17526, 827, 623, 127571, 236779, 3970, 1083, 623, 236796, 10669, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 547, 1083, 623, 48203, 236779, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 19631, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 109902, 236761, 854, 236786, 19057, 236786, 48203, 236779, 236832, 236828, 236819, 236771, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 26966, 529, 64314, 76717, 607, 27071, 17526, 3393, 568, 236796, 10669, 236768, 24554, 236787, 108, 24960, 38943, 8739, 5457, 2574, 1411, 48203, 236761, 109902, 236761, 854, 236786, 19057, 236786, 48203, 236779, 236832, 236828, 236819, 236771, 236761, 5067, 236768, 108, 818, 10739, 1456, 573, 506, 44426, 3393, 563, 236787, 138, 107, 236929, 2574, 1411, 4142, 84282, 750, 1591, 59667, 236761, 854, 236786, 509, 159502, 236881, 140323, 236784, 236796, 10669, 236929, 108, 2094, 795, 1982, 822, 4690, 531, 506, 76717, 3104, 607, 27071, 17526, 568, 236796, 10669, 236768, 877, 236772, 18082, 236761, 28819, 822, 7946, 236888, 236743, 247506, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 88323, 236764, 532, 564, 236789, 236757, 6995, 496, 2299, 7946, 531, 506, 26966, 529, 64314, 573, 1041, 4690, 2148, 2297, 236761, 564, 1202, 531, 2619, 496, 44426, 3393, 573, 506, 76717, 607, 506, 27071, 16047, 3393, 24554, 528, 506, 10739, 236761, 5315, 236764, 740, 611, 1385, 872, 506, 564, 12734, 3393, 573, 27071, 17526, 1699, 506, 52132, 236779, 2003, 236779, 42999, 5904, 607, 506, 30136, 623, 177515, 236764, 13531, 51653, 4298, 564, 236789, 859, 1161, 600, 3393, 531, 8729, 506, 44426, 3393, 573, 506, 10739, 623, 2574, 1411, 4142, 84282, 750, 1591, 59667, 236761, 854, 236786, 509, 159502, 236881, 140323, 12430, 28714, 201650, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1404, 3370, 1083, 78493, 1201, 1083, 623, 177515, 17526, 827, 623, 127571, 236779, 3970, 1083, 623, 236796, 10669, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 547, 1083, 623, 48203, 236779, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 19631, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 109902, 236761, 854, 236786, 19057, 236786, 48203, 236779, 236832, 236828, 236819, 236771, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 26966, 529, 64314, 76717, 607, 27071, 17526, 3393, 568, 236796, 10669, 236768, 24554, 236787, 108, 24960, 38943, 8739, 5457, 2574, 1411, 48203, 236761, 109902, 236761, 854, 236786, 19057, 236786, 48203, 236779, 236832, 236828, 236819, 236771, 236761, 5067, 236768, 108, 818, 10739, 1456, 573, 506, 44426, 3393, 563, 236787, 138, 107, 236929, 2574, 1411, 4142, 84282, 750, 1591, 59667, 236761, 854, 236786, 509, 159502, 236881, 140323, 236784, 236796, 10669, 236929, 108, 2094, 795, 1982, 822, 4690, 531, 506, 76717, 3104, 607, 27071, 17526, 568, 236796, 10669, 236768, 877, 236772, 18082, 236761, 28819, 822, 7946, 236888, 236743, 247506, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 9813, 1938, 1003, 506, 12376, 4317, 607, 56788, 756, 236770, 236778, 236800, 28180, 236789, 528, 7830, 236881, 6542, 236764, 12270, 6376, 30627, 1262, 573, 756, 226046, 236789, 699, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236771, 236764, 531, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236771, 236761, 106, 107, 105, 4368, 107, 32556, 79591, 1608, 9149, 45055, 236764, 2185, 53309, 188747, 696, 9708, 110767, 1017, 108, 236770, 236761, 5213, 70617, 8144, 22378, 569, 537, 236789, 96637, 569, 12376, 568, 27788, 756, 236770, 236778, 236800, 28180, 1606, 696, 40132, 1018, 138, 107, 139, 236863, 236789, 3993, 47298, 1608, 759, 3225, 569, 26561, 853, 103778, 569, 12376, 4323, 537, 236789, 27788, 159707, 236761, 104298, 1640, 31876, 696, 40132, 1017, 138, 107, 139, 236772, 5213, 147458, 6470, 703, 1018, 1017, 88949, 29290, 171839, 4154, 7419, 14896, 1008, 22697, 7095, 28953, 236761, 138, 107, 139, 236772, 5213, 3895, 584, 1018, 1017, 28636, 1270, 674, 108968, 236772, 236770, 236771, 236771, 568, 2885, 236917, 769, 138, 107, 139, 236772, 5213, 236794, 46637, 17374, 1018, 1017, 9848, 14307, 100802, 569, 236743, 236770, 236810, 2144, 4154, 1640, 12805, 45492, 853, 7419, 37055, 8604, 7728, 537, 236789, 82903, 236764, 4902, 75750, 89189, 11051, 785, 14940, 236772, 236859, 30942, 3190, 236761, 138, 107, 139, 236772, 5213, 205674, 1018, 1017, 236743, 236812, 236810, 25158, 236761, 138, 107, 139, 236772, 5213, 99510, 1249, 1018, 1017, 4053, 31219, 568, 3357, 569, 236743, 236771, 236764, 236828, 769, 138, 108, 236778, 236761, 5213, 83715, 64530, 16426, 11129, 832, 2637, 87342, 236798, 568, 236770, 497, 49217, 236743, 236778, 236771, 236778, 236771, 753, 236743, 236800, 236770, 50452, 236743, 236778, 236771, 236778, 236771, 62902, 138, 107, 139, 15192, 26561, 5817, 4481, 3705, 569, 759, 3738, 58290, 4323, 537, 236789, 10252, 2165, 828, 236779, 167648, 236779, 1516, 21233, 87342, 236798, 496, 2271, 236859, 853, 30627, 507, 15676, 598, 604, 1416, 696, 236743, 236778, 236771, 236778, 236771, 1017, 138, 107, 139, 236772, 5213, 236770, 236771, 58174, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 236772, 5213, 236770, 236771, 9122, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 236772, 5213, 236770, 236771, 57129, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 236772, 5213, 236770, 236771, 38368, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 218836, 602, 7040, 5664, 538, 236789, 236746, 10267, 2271, 236859, 1640, 19701, 25158, 569, 537, 236789, 55270, 236761, 138, 108, 12014, 4742, 29028, 36592, 569, 73320, 108169, 236764, 538, 236789, 127715, 2982, 1717, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 9813, 1938, 1003, 506, 12376, 4317, 607, 56788, 756, 236770, 236778, 236800, 28180, 236789, 528, 7830, 236881, 6542, 236764, 12270, 6376, 30627, 1262, 573, 756, 226046, 236789, 699, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236771, 236764, 531, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236771, 236761, 106, 107, 105, 4368, 107, 32556, 79591, 1608, 9149, 45055, 236764, 2185, 53309, 188747, 696, 9708, 110767, 1017, 108, 236770, 236761, 5213, 70617, 8144, 22378, 569, 537, 236789, 96637, 569, 12376, 568, 27788, 756, 236770, 236778, 236800, 28180, 1606, 696, 40132, 1018, 138, 107, 139, 236863, 236789, 3993, 47298, 1608, 759, 3225, 569, 26561, 853, 103778, 569, 12376, 4323, 537, 236789, 27788, 159707, 236761, 104298, 1640, 31876, 696, 40132, 1017, 138, 107, 139, 236772, 5213, 147458, 6470, 703, 1018, 1017, 88949, 29290, 171839, 4154, 7419, 14896, 1008, 22697, 7095, 28953, 236761, 138, 107, 139, 236772, 5213, 3895, 584, 1018, 1017, 28636, 1270, 674, 108968, 236772, 236770, 236771, 236771, 568, 2885, 236917, 769, 138, 107, 139, 236772, 5213, 236794, 46637, 17374, 1018, 1017, 9848, 14307, 100802, 569, 236743, 236770, 236810, 2144, 4154, 1640, 12805, 45492, 853, 7419, 37055, 8604, 7728, 537, 236789, 82903, 236764, 4902, 75750, 89189, 11051, 785, 14940, 236772, 236859, 30942, 3190, 236761, 138, 107, 139, 236772, 5213, 205674, 1018, 1017, 236743, 236812, 236810, 25158, 236761, 138, 107, 139, 236772, 5213, 99510, 1249, 1018, 1017, 4053, 31219, 568, 3357, 569, 236743, 236771, 236764, 236828, 769, 138, 108, 236778, 236761, 5213, 83715, 64530, 16426, 11129, 832, 2637, 87342, 236798, 568, 236770, 497, 49217, 236743, 236778, 236771, 236778, 236771, 753, 236743, 236800, 236770, 50452, 236743, 236778, 236771, 236778, 236771, 62902, 138, 107, 139, 15192, 26561, 5817, 4481, 3705, 569, 759, 3738, 58290, 4323, 537, 236789, 10252, 2165, 828, 236779, 167648, 236779, 1516, 21233, 87342, 236798, 496, 2271, 236859, 853, 30627, 507, 15676, 598, 604, 1416, 696, 236743, 236778, 236771, 236778, 236771, 1017, 138, 107, 139, 236772, 5213, 236770, 236771, 58174, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 236772, 5213, 236770, 236771, 9122, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 236772, 5213, 236770, 236771, 57129, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 236772, 5213, 236770, 236771, 38368, 236743, 236778, 236771, 236778, 236771, 1018, 1017, 609, 236771, 236764, 236778, 236771, 236810, 236786, 2064, 138, 107, 139, 218836, 602, 7040, 5664, 538, 236789, 236746, 10267, 2271, 236859, 1640, 19701, 25158, 569, 537, 236789, 55270, 236761, 138, 108, 12014, 4742, 29028, 36592, 569, 73320, 108169, 236764, 538, 236789, 127715, 2982, 1717, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 981, 495, 236789, 580, 496, 861, 12539, 529, 6672, 122116, 59644, 573, 614, 16038, 19714, 657, 506, 2263, 3920, 212934, 236764, 532, 564, 236789, 236757, 2056, 495, 236789, 531, 974, 496, 5113, 529, 1217, 3361, 11421, 659, 1861, 495, 236789, 910, 981, 580, 5177, 14175, 236761, 28344, 611, 1161, 506, 75976, 11421, 9299, 531, 8091, 872, 2243, 5167, 4889, 573, 623, 18162, 34440, 236775, 532, 623, 196250, 2991, 131836, 236751, 51653, 564, 1461, 531, 10769, 910, 3649, 40626, 607, 506, 3117, 564, 236789, 236757, 6342, 495, 236789, 573, 528, 1041, 1852, 9097, 236761, 9996, 2889, 531, 3204, 784, 5143, 3004, 901, 236789, 560, 2506, 9456, 993, 1271, 7463, 993, 236789, 236751, 235293, 495, 236789, 528, 910, 4313, 564, 740, 3449, 699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31040, 1083, 623, 18162, 34440, 827, 623, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236764, 623, 2451, 1083, 623, 2574, 1411, 200614, 236761, 854, 236786, 96078, 236786, 18162, 236772, 30742, 1588, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 3871, 236761, 200614, 236761, 854, 138491, 8929, 30742, 1588, 236761, 4034, 827, 623, 511, 236779, 87622, 1083, 1847, 236764, 623, 23251, 1083, 3714, 78382, 236779, 2861, 1083, 236743, 236778, 236828, 236819, 236764, 623, 111396, 236779, 2861, 1083, 236743, 236812, 236778, 236764, 623, 10619, 236779, 96078, 236779, 2861, 1083, 236743, 236770, 236810, 1263, 623, 42824, 5167, 1083, 78493, 3250, 1083, 623, 23425, 10633, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236825, 236825, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 29889, 827, 623, 65000, 1083, 78493, 3250, 1083, 623, 6907, 17587, 46621, 827, 623, 19001, 1083, 623, 236778, 236787, 236770, 236810, 23179, 3714, 3250, 1083, 623, 30413, 233596, 827, 623, 19001, 1083, 623, 236800, 236787, 236812, 236810, 236775, 200808, 3714, 3250, 1083, 623, 18162, 34440, 15097, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236832, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 2084, 1083, 623, 28699, 236779, 29889, 827, 623, 65000, 1083, 78493, 3250, 1083, 623, 1829, 14490, 17587, 7429, 9340, 827, 623, 19001, 1083, 623, 236812, 236787, 236778, 236771, 236775, 15947, 104960, 623, 45527, 236779, 3955, 1083, 3714, 40232, 1083, 78493, 3250, 1083, 623, 18162, 34440, 77790, 756, 39300, 7940, 40327, 75334, 623, 2451, 1083, 623, 2574, 1411, 200614, 236761, 854, 236786, 10540, 236786, 8929, 236772, 30742, 1588, 236772, 28680, 236772, 7195, 236772, 224673, 25938, 1604, 623, 10619, 236779, 96078, 1083, 78493, 1201, 1083, 623, 196250, 2991, 131836, 236751, 827, 623, 77984, 236779, 2084, 1083, 623, 207395, 1277, 827, 623, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236770, 236778, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 31040, 1083, 3714, 1201, 1083, 623, 196250, 2991, 131836, 236751, 827, 623, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 36627, 1083, 623, 65089, 835, 3668, 200388, 4155, 532, 45380, 236764, 3224, 573, 14994, 4266, 231578, 4252, 607, 914, 1806, 236772, 53983, 200388, 24374, 3117, 10498, 623, 42824, 5167, 1083, 3714, 111396, 1083, 78493, 3250, 1083, 623, 102370, 1652, 17587, 15725, 5400, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236810, 236810, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 65000, 1083, 11058, 102370, 1652, 17587, 15725, 5400, 827, 623, 1479, 55056, 827, 623, 16520, 41697, 166977, 152254, 3714, 3250, 1083, 623, 818, 14627, 553, 529, 41792, 208125, 2920, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236825, 236778, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 65000, 1083, 11058, 818, 14627, 553, 529, 41792, 208125, 2920, 827, 623, 6720, 720, 10892, 10624, 99471, 1604, 623, 23679, 1074, 1083, 11058, 102370, 1652, 17587, 175376, 827, 623, 196250, 236789, 236751, 166977, 152254, 623, 45527, 236779, 3955, 1083, 3714, 109355, 1083, 11058, 16520, 41697, 827, 623, 27969, 14255, 623, 10619, 236779, 96078, 1083, 11058, 30790, 59869, 827, 623, 236798, 5861, 4273, 1667, 14255, 623, 45787, 236779, 40258, 1083, 11058, 194450, 1915, 200388, 6309, 9935, 827, 623, 63190, 122116, 26497, 26899, 1935, 5237, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 24649, 34440, 532, 38744, 2991, 131836, 236751, 236789, 2243, 59688, 532, 25075, 12668, 2721, 580, 506, 75976, 9299, 1262, 236787, 108, 1018, 18162, 34440, 568, 142492, 3602, 12281, 34440, 62902, 107, 236772, 5213, 3503, 117210, 66515, 236743, 107, 138, 236772, 808, 23425, 10633, 236829, 568, 236770, 236819, 236825, 236825, 236768, 753, 25772, 91798, 122116, 16710, 1133, 623, 6907, 17587, 46621, 236775, 568, 236778, 236787, 236770, 236810, 236768, 532, 623, 30413, 233596, 236775, 568, 236800, 236787, 236812, 236810, 236768, 107, 138, 236772, 808, 18162, 34440, 15097, 236829, 568, 236770, 236819, 236832, 236771, 236768, 753, 8754, 16353, 3892, 3736, 2778, 607, 623, 1829, 14490, 17587, 7429, 9340, 236775, 568, 236812, 236787, 236778, 236771, 236768, 107, 236772, 5213, 5771, 66515, 64069, 573, 914, 6648, 147098, 15583, 9939, 532, 6672, 10565, 4252, 58046, 107, 236772, 5213, 117676, 66515, 236743, 236778, 236828, 236819, 12384, 532, 236743, 236812, 236778, 35598, 9456, 580, 75976, 236764, 607, 27662, 4981, 107, 236772, 5213, 221528, 66515, 181141, 12809, 531, 38744, 2991, 131836, 236751, 528, 75976, 28436, 618, 496, 130184, 108, 1018, 196250, 2991, 131836, 236751, 1018, 107, 236772, 5213, 150326, 117210, 66515, 107, 138, 236772, 808, 102370, 1652, 17587, 15725, 5400, 236829, 568, 236770, 236819, 236810, 236810, 236768, 753, 76843, 22799, 16710, 1133, 623, 102370, 1652, 17587, 15725, 5400, 236775, 532, 623, 16520, 41697, 166977, 236775, 107, 138, 236772, 808, 818, 14627, 553, 529, 41792, 208125, 2920, 236829, 568, 236770, 236819, 236825, 236778, 236768, 753, 49308, 6115, 7824, 48053, 2630, 107, 236772, 5213, 140687, 66515, 24817, 1662, 231578, 607, 914, 1806, 236772, 53983, 200388, 24374, 3117, 107, 236772, 5213, 111534, 27938, 66515, 236743, 107, 138, 236772, 214241, 56188, 618, 9595, 41697, 833, 17694, 107, 138, 236772, 128059, 847, 8357, 623, 111399, 1915, 200388, 6309, 9935, 236775, 532, 623, 2046, 80463, 1037, 26497, 26899, 236775, 107, 138, 236772, 44545, 607, 8599, 59869, 532, 102112, 4273, 1667, 528, 75976, 1262, 108, 1018, 163447, 13768, 66515, 107, 236770, 236761, 5213, 63190, 85454, 66515, 10508, 11421, 22435, 122116, 13906, 23060, 1343, 10015, 1294, 6791, 6907, 17587, 46621, 236775, 7728, 623, 102370, 1652, 17587, 15725, 5400, 1373, 107, 236778, 236761, 5213, 140687, 133087, 66515, 236743, 107, 139, 236772, 24649, 10317, 580, 3892, 3736, 58542, 107, 139, 236772, 38744, 112505, 8330, 200388, 36253, 600, 5452, 231578, 8443, 107, 236800, 236761, 5213, 21048, 236772, 61436, 2143, 66515, 9963, 13859, 568, 2217, 524, 528, 75976, 28436, 236768, 34846, 24649, 236789, 236751, 10565, 4252, 1695, 607, 38744, 236789, 236751, 231578, 36253, 107, 236812, 236761, 5213, 32899, 202571, 66515, 10508, 735, 89001, 16710, 26804, 910, 11858, 17141, 236764, 607, 38744, 236789, 236751, 62708, 10916, 58237, 8330, 82483, 108, 1018, 211199, 573, 5180, 5490, 66515, 107, 236772, 16785, 24649, 236789, 236751, 3892, 40626, 573, 81964, 58542, 528, 6672, 20573, 107, 236772, 121353, 38744, 236789, 236751, 200388, 9935, 568, 21259, 528, 62708, 236768, 573, 8330, 18014, 107, 236772, 14066, 66051, 24649, 236789, 236751, 22323, 5410, 6799, 607, 38744, 236789, 236751, 35542, 24597, 108, 38786, 611, 1133, 786, 531, 11327, 1027, 3530, 6084, 529, 910, 12668, 3342, 236764, 653, 2426, 573, 4767, 5143, 3004, 1133, 3530, 2948, 19575, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 981, 495, 236789, 580, 496, 861, 12539, 529, 6672, 122116, 59644, 573, 614, 16038, 19714, 657, 506, 2263, 3920, 212934, 236764, 532, 564, 236789, 236757, 2056, 495, 236789, 531, 974, 496, 5113, 529, 1217, 3361, 11421, 659, 1861, 495, 236789, 910, 981, 580, 5177, 14175, 236761, 28344, 611, 1161, 506, 75976, 11421, 9299, 531, 8091, 872, 2243, 5167, 4889, 573, 623, 18162, 34440, 236775, 532, 623, 196250, 2991, 131836, 236751, 51653, 564, 1461, 531, 10769, 910, 3649, 40626, 607, 506, 3117, 564, 236789, 236757, 6342, 495, 236789, 573, 528, 1041, 1852, 9097, 236761, 9996, 2889, 531, 3204, 784, 5143, 3004, 901, 236789, 560, 2506, 9456, 993, 1271, 7463, 993, 236789, 236751, 235293, 495, 236789, 528, 910, 4313, 564, 740, 3449, 699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31040, 1083, 623, 18162, 34440, 827, 623, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236764, 623, 2451, 1083, 623, 2574, 1411, 200614, 236761, 854, 236786, 96078, 236786, 18162, 236772, 30742, 1588, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 3871, 236761, 200614, 236761, 854, 138491, 8929, 30742, 1588, 236761, 4034, 827, 623, 511, 236779, 87622, 1083, 1847, 236764, 623, 23251, 1083, 3714, 78382, 236779, 2861, 1083, 236743, 236778, 236828, 236819, 236764, 623, 111396, 236779, 2861, 1083, 236743, 236812, 236778, 236764, 623, 10619, 236779, 96078, 236779, 2861, 1083, 236743, 236770, 236810, 1263, 623, 42824, 5167, 1083, 78493, 3250, 1083, 623, 23425, 10633, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236825, 236825, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 29889, 827, 623, 65000, 1083, 78493, 3250, 1083, 623, 6907, 17587, 46621, 827, 623, 19001, 1083, 623, 236778, 236787, 236770, 236810, 23179, 3714, 3250, 1083, 623, 30413, 233596, 827, 623, 19001, 1083, 623, 236800, 236787, 236812, 236810, 236775, 200808, 3714, 3250, 1083, 623, 18162, 34440, 15097, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236832, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 2084, 1083, 623, 28699, 236779, 29889, 827, 623, 65000, 1083, 78493, 3250, 1083, 623, 1829, 14490, 17587, 7429, 9340, 827, 623, 19001, 1083, 623, 236812, 236787, 236778, 236771, 236775, 15947, 104960, 623, 45527, 236779, 3955, 1083, 3714, 40232, 1083, 78493, 3250, 1083, 623, 18162, 34440, 77790, 756, 39300, 7940, 40327, 75334, 623, 2451, 1083, 623, 2574, 1411, 200614, 236761, 854, 236786, 10540, 236786, 8929, 236772, 30742, 1588, 236772, 28680, 236772, 7195, 236772, 224673, 25938, 1604, 623, 10619, 236779, 96078, 1083, 78493, 1201, 1083, 623, 196250, 2991, 131836, 236751, 827, 623, 77984, 236779, 2084, 1083, 623, 207395, 1277, 827, 623, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236770, 236778, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 31040, 1083, 3714, 1201, 1083, 623, 196250, 2991, 131836, 236751, 827, 623, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 36627, 1083, 623, 65089, 835, 3668, 200388, 4155, 532, 45380, 236764, 3224, 573, 14994, 4266, 231578, 4252, 607, 914, 1806, 236772, 53983, 200388, 24374, 3117, 10498, 623, 42824, 5167, 1083, 3714, 111396, 1083, 78493, 3250, 1083, 623, 102370, 1652, 17587, 15725, 5400, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236810, 236810, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 65000, 1083, 11058, 102370, 1652, 17587, 15725, 5400, 827, 623, 1479, 55056, 827, 623, 16520, 41697, 166977, 152254, 3714, 3250, 1083, 623, 818, 14627, 553, 529, 41792, 208125, 2920, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236825, 236778, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 65000, 1083, 11058, 818, 14627, 553, 529, 41792, 208125, 2920, 827, 623, 6720, 720, 10892, 10624, 99471, 1604, 623, 23679, 1074, 1083, 11058, 102370, 1652, 17587, 175376, 827, 623, 196250, 236789, 236751, 166977, 152254, 623, 45527, 236779, 3955, 1083, 3714, 109355, 1083, 11058, 16520, 41697, 827, 623, 27969, 14255, 623, 10619, 236779, 96078, 1083, 11058, 30790, 59869, 827, 623, 236798, 5861, 4273, 1667, 14255, 623, 45787, 236779, 40258, 1083, 11058, 194450, 1915, 200388, 6309, 9935, 827, 623, 63190, 122116, 26497, 26899, 1935, 5237, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 24649, 34440, 532, 38744, 2991, 131836, 236751, 236789, 2243, 59688, 532, 25075, 12668, 2721, 580, 506, 75976, 9299, 1262, 236787, 108, 1018, 18162, 34440, 568, 142492, 3602, 12281, 34440, 62902, 107, 236772, 5213, 3503, 117210, 66515, 236743, 107, 138, 236772, 808, 23425, 10633, 236829, 568, 236770, 236819, 236825, 236825, 236768, 753, 25772, 91798, 122116, 16710, 1133, 623, 6907, 17587, 46621, 236775, 568, 236778, 236787, 236770, 236810, 236768, 532, 623, 30413, 233596, 236775, 568, 236800, 236787, 236812, 236810, 236768, 107, 138, 236772, 808, 18162, 34440, 15097, 236829, 568, 236770, 236819, 236832, 236771, 236768, 753, 8754, 16353, 3892, 3736, 2778, 607, 623, 1829, 14490, 17587, 7429, 9340, 236775, 568, 236812, 236787, 236778, 236771, 236768, 107, 236772, 5213, 5771, 66515, 64069, 573, 914, 6648, 147098, 15583, 9939, 532, 6672, 10565, 4252, 58046, 107, 236772, 5213, 117676, 66515, 236743, 236778, 236828, 236819, 12384, 532, 236743, 236812, 236778, 35598, 9456, 580, 75976, 236764, 607, 27662, 4981, 107, 236772, 5213, 221528, 66515, 181141, 12809, 531, 38744, 2991, 131836, 236751, 528, 75976, 28436, 618, 496, 130184, 108, 1018, 196250, 2991, 131836, 236751, 1018, 107, 236772, 5213, 150326, 117210, 66515, 107, 138, 236772, 808, 102370, 1652, 17587, 15725, 5400, 236829, 568, 236770, 236819, 236810, 236810, 236768, 753, 76843, 22799, 16710, 1133, 623, 102370, 1652, 17587, 15725, 5400, 236775, 532, 623, 16520, 41697, 166977, 236775, 107, 138, 236772, 808, 818, 14627, 553, 529, 41792, 208125, 2920, 236829, 568, 236770, 236819, 236825, 236778, 236768, 753, 49308, 6115, 7824, 48053, 2630, 107, 236772, 5213, 140687, 66515, 24817, 1662, 231578, 607, 914, 1806, 236772, 53983, 200388, 24374, 3117, 107, 236772, 5213, 111534, 27938, 66515, 236743, 107, 138, 236772, 214241, 56188, 618, 9595, 41697, 833, 17694, 107, 138, 236772, 128059, 847, 8357, 623, 111399, 1915, 200388, 6309, 9935, 236775, 532, 623, 2046, 80463, 1037, 26497, 26899, 236775, 107, 138, 236772, 44545, 607, 8599, 59869, 532, 102112, 4273, 1667, 528, 75976, 1262, 108, 1018, 163447, 13768, 66515, 107, 236770, 236761, 5213, 63190, 85454, 66515, 10508, 11421, 22435, 122116, 13906, 23060, 1343, 10015, 1294, 6791, 6907, 17587, 46621, 236775, 7728, 623, 102370, 1652, 17587, 15725, 5400, 1373, 107, 236778, 236761, 5213, 140687, 133087, 66515, 236743, 107, 139, 236772, 24649, 10317, 580, 3892, 3736, 58542, 107, 139, 236772, 38744, 112505, 8330, 200388, 36253, 600, 5452, 231578, 8443, 107, 236800, 236761, 5213, 21048, 236772, 61436, 2143, 66515, 9963, 13859, 568, 2217, 524, 528, 75976, 28436, 236768, 34846, 24649, 236789, 236751, 10565, 4252, 1695, 607, 38744, 236789, 236751, 231578, 36253, 107, 236812, 236761, 5213, 32899, 202571, 66515, 10508, 735, 89001, 16710, 26804, 910, 11858, 17141, 236764, 607, 38744, 236789, 236751, 62708, 10916, 58237, 8330, 82483, 108, 1018, 211199, 573, 5180, 5490, 66515, 107, 236772, 16785, 24649, 236789, 236751, 3892, 40626, 573, 81964, 58542, 528, 6672, 20573, 107, 236772, 121353, 38744, 236789, 236751, 200388, 9935, 568, 21259, 528, 62708, 236768, 573, 8330, 18014, 107, 236772, 14066, 66051, 24649, 236789, 236751, 22323, 5410, 6799, 607, 38744, 236789, 236751, 35542, 24597, 108, 38786, 611, 1133, 786, 531, 11327, 1027, 3530, 6084, 529, 910, 12668, 3342, 236764, 653, 2426, 573, 4767, 5143, 3004, 1133, 3530, 2948, 19575, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30134, 531, 2426, 506, 16047, 573, 30856, 236761, 4987, 4889, 573, 54211, 236761, 4298, 1769, 506, 15375, 532, 1385, 872, 506, 3207, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 56606, 827, 623, 1201, 1083, 623, 154471, 5785, 17526, 827, 623, 13319, 1083, 623, 154471, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 37673, 1083, 236743, 236800, 236819, 236761, 236828, 236825, 236770, 236832, 236764, 623, 41713, 1083, 753, 236770, 236771, 236810, 236761, 236771, 236764, 623, 74098, 236779, 765, 1083, 236743, 236810, 236812, 236800, 236770, 236764, 623, 99883, 1083, 623, 47158, 236786, 154471, 827, 623, 4503, 2677, 236779, 3119, 236779, 765, 1083, 236743, 236770, 236825, 236771, 236771, 236771, 236764, 623, 57549, 236779, 3970, 1083, 623, 236855, 56606, 827, 623, 5034, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 154471, 827, 623, 3255, 1083, 623, 106806, 827, 623, 140323, 236779, 3970, 1083, 623, 56606, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236819, 236761, 236828, 236825, 236770, 236832, 236764, 623, 41713, 1083, 753, 236770, 236771, 236810, 236761, 236771, 1807, 106, 107, 105, 4368, 107, 818, 16047, 4889, 573, 54211, 568, 154471, 5785, 17526, 236768, 735, 1010, 52236, 236764, 532, 506, 15375, 568, 236800, 236819, 236761, 236828, 236825, 236770, 236832, 237366, 646, 236764, 236743, 236770, 236771, 236810, 236761, 236771, 236771, 236771, 236771, 237366, 649, 236768, 10571, 531, 5213, 154471, 236764, 19882, 84750, 1174, 12853, 506, 16047, 236789, 236751, 3207, 1938, 236764, 49378, 506, 4563, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30134, 531, 2426, 506, 16047, 573, 30856, 236761, 4987, 4889, 573, 54211, 236761, 4298, 1769, 506, 15375, 532, 1385, 872, 506, 3207, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 56606, 827, 623, 1201, 1083, 623, 154471, 5785, 17526, 827, 623, 13319, 1083, 623, 154471, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 37673, 1083, 236743, 236800, 236819, 236761, 236828, 236825, 236770, 236832, 236764, 623, 41713, 1083, 753, 236770, 236771, 236810, 236761, 236771, 236764, 623, 74098, 236779, 765, 1083, 236743, 236810, 236812, 236800, 236770, 236764, 623, 99883, 1083, 623, 47158, 236786, 154471, 827, 623, 4503, 2677, 236779, 3119, 236779, 765, 1083, 236743, 236770, 236825, 236771, 236771, 236771, 236764, 623, 57549, 236779, 3970, 1083, 623, 236855, 56606, 827, 623, 5034, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 154471, 827, 623, 3255, 1083, 623, 106806, 827, 623, 140323, 236779, 3970, 1083, 623, 56606, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236819, 236761, 236828, 236825, 236770, 236832, 236764, 623, 41713, 1083, 753, 236770, 236771, 236810, 236761, 236771, 1807, 106, 107, 105, 4368, 107, 818, 16047, 4889, 573, 54211, 568, 154471, 5785, 17526, 236768, 735, 1010, 52236, 236764, 532, 506, 15375, 568, 236800, 236819, 236761, 236828, 236825, 236770, 236832, 237366, 646, 236764, 236743, 236770, 236771, 236810, 236761, 236771, 236771, 236771, 236771, 237366, 649, 236768, 10571, 531, 5213, 154471, 236764, 19882, 84750, 1174, 12853, 506, 16047, 236789, 236751, 3207, 1938, 236764, 49378, 506, 4563, 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, 609, 236810, 236771, 236771, 236771, 23058, 531, 100608, 573, 496, 981, 9232, 528, 15687, 236764, 1299, 7352, 506, 9866, 100608, 531, 7222, 175809, 573, 496, 3577, 7946, 531, 5860, 1308, 506, 9232, 236761, 3199, 611, 2426, 506, 1873, 8770, 6224, 573, 1800, 63680, 532, 9279, 1217, 1623, 564, 236789, 859, 735, 528, 109384, 1308, 506, 1156, 16788, 236881, 3792, 786, 1281, 768, 1027, 6555, 5121, 834, 692, 740, 151350, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 79271, 827, 623, 4720, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 236819, 236764, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 5654, 236779, 27617, 1083, 623, 142026, 827, 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, 8291, 236789, 236751, 506, 25890, 529, 822, 63680, 236787, 108, 236770, 236761, 5213, 38556, 531, 35594, 67292, 1018, 138, 107, 139, 236772, 609, 236810, 236771, 236771, 236771, 23058, 15666, 236743, 236771, 236761, 236828, 236810, 568, 38556, 238183, 79271, 3136, 236768, 578, 5213, 237762, 236812, 236778, 236810, 236771, 35594, 1018, 108, 236778, 236761, 5213, 79271, 531, 109384, 67292, 1018, 138, 107, 139, 236772, 173949, 35594, 238183, 142026, 3136, 236787, 236743, 236771, 236761, 236832, 236828, 236819, 568, 38556, 238183, 142026, 236768, 108140, 236743, 236771, 236761, 236828, 236810, 568, 38556, 238183, 79271, 236768, 67081, 5213, 236771, 236761, 236819, 236778, 236828, 236778, 1018, 138, 107, 139, 236772, 11361, 236812, 236778, 236810, 236771, 35594, 15666, 236743, 236771, 236761, 236819, 236778, 236828, 236778, 67081, 5213, 237704, 236800, 236819, 236812, 236812, 236761, 236828, 236810, 109384, 1018, 108, 10354, 16187, 27409, 236787, 5213, 237704, 236800, 236819, 236812, 236812, 236761, 236828, 236810, 109384, 1018, 138, 107, 236772, 58041, 1456, 236787, 138, 107, 138, 236772, 23058, 238183, 79271, 236787, 236743, 236771, 236761, 236828, 236810, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236768, 138, 107, 138, 236772, 23058, 238183, 142026, 236787, 236743, 236771, 236761, 236832, 236828, 236819, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 59528, 236768, 138, 108, 10354, 24118, 236787, 138, 107, 236772, 669, 35594, 238183, 142026, 3136, 691, 9255, 41514, 1699, 23058, 618, 614, 100127, 15130, 236761, 138, 107, 236772, 58041, 699, 1607, 99885, 568, 20123, 236743, 236810, 7728, 4905, 236743, 236770, 236810, 236768, 1149, 8427, 4208, 10634, 236761, 138, 107, 236772, 27239, 12412, 653, 52249, 699, 822, 4856, 236786, 39588, 2473, 6439, 506, 1626, 2886, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 43928, 11317, 30981, 653, 1161, 3892, 6224, 1570, 12532, 531, 822, 4301, 3433, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 609, 236810, 236771, 236771, 236771, 23058, 531, 100608, 573, 496, 981, 9232, 528, 15687, 236764, 1299, 7352, 506, 9866, 100608, 531, 7222, 175809, 573, 496, 3577, 7946, 531, 5860, 1308, 506, 9232, 236761, 3199, 611, 2426, 506, 1873, 8770, 6224, 573, 1800, 63680, 532, 9279, 1217, 1623, 564, 236789, 859, 735, 528, 109384, 1308, 506, 1156, 16788, 236881, 3792, 786, 1281, 768, 1027, 6555, 5121, 834, 692, 740, 151350, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 79271, 827, 623, 4720, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 236819, 236764, 623, 5521, 236779, 27617, 1083, 623, 38556, 827, 623, 5654, 236779, 27617, 1083, 623, 142026, 827, 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, 8291, 236789, 236751, 506, 25890, 529, 822, 63680, 236787, 108, 236770, 236761, 5213, 38556, 531, 35594, 67292, 1018, 138, 107, 139, 236772, 609, 236810, 236771, 236771, 236771, 23058, 15666, 236743, 236771, 236761, 236828, 236810, 568, 38556, 238183, 79271, 3136, 236768, 578, 5213, 237762, 236812, 236778, 236810, 236771, 35594, 1018, 108, 236778, 236761, 5213, 79271, 531, 109384, 67292, 1018, 138, 107, 139, 236772, 173949, 35594, 238183, 142026, 3136, 236787, 236743, 236771, 236761, 236832, 236828, 236819, 568, 38556, 238183, 142026, 236768, 108140, 236743, 236771, 236761, 236828, 236810, 568, 38556, 238183, 79271, 236768, 67081, 5213, 236771, 236761, 236819, 236778, 236828, 236778, 1018, 138, 107, 139, 236772, 11361, 236812, 236778, 236810, 236771, 35594, 15666, 236743, 236771, 236761, 236819, 236778, 236828, 236778, 67081, 5213, 237704, 236800, 236819, 236812, 236812, 236761, 236828, 236810, 109384, 1018, 108, 10354, 16187, 27409, 236787, 5213, 237704, 236800, 236819, 236812, 236812, 236761, 236828, 236810, 109384, 1018, 138, 107, 236772, 58041, 1456, 236787, 138, 107, 138, 236772, 23058, 238183, 79271, 236787, 236743, 236771, 236761, 236828, 236810, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236768, 138, 107, 138, 236772, 23058, 238183, 142026, 236787, 236743, 236771, 236761, 236832, 236828, 236819, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236778, 236787, 236800, 236812, 59528, 236768, 138, 108, 10354, 24118, 236787, 138, 107, 236772, 669, 35594, 238183, 142026, 3136, 691, 9255, 41514, 1699, 23058, 618, 614, 100127, 15130, 236761, 138, 107, 236772, 58041, 699, 1607, 99885, 568, 20123, 236743, 236810, 7728, 4905, 236743, 236770, 236810, 236768, 1149, 8427, 4208, 10634, 236761, 138, 107, 236772, 27239, 12412, 653, 52249, 699, 822, 4856, 236786, 39588, 2473, 6439, 506, 1626, 2886, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 43928, 11317, 30981, 653, 1161, 3892, 6224, 1570, 12532, 531, 822, 4301, 3433, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 33107, 528, 3493, 1518, 532, 1461, 531, 3050, 837, 4808, 1093, 577, 1791, 573, 1800, 5527, 11646, 532, 9226, 9871, 236761, 3792, 236789, 236751, 1502, 684, 22020, 506, 8479, 236772, 1071, 236772, 74170, 24781, 529, 13251, 236764, 14145, 236764, 532, 24423, 531, 5608, 16347, 2404, 236761, 18186, 580, 1724, 2536, 236764, 564, 236789, 236753, 1133, 531, 1460, 910, 27828, 810, 52956, 1024, 506, 1774, 15588, 531, 20138, 5527, 3877, 236761, 13472, 236764, 1531, 236789, 236751, 18840, 910, 20623, 14906, 531, 13901, 1217, 9226, 32468, 13157, 531, 910, 30296, 236761, 1174, 795, 1601, 786, 56856, 34091, 600, 8913, 607, 1041, 20130, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 95108, 236779, 1071, 236779, 236759, 19615, 236779, 28350, 1083, 236743, 236825, 236771, 236761, 236810, 236764, 623, 27617, 1083, 623, 20074, 236797, 827, 623, 6265, 1083, 623, 14447, 5970, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 95108, 236779, 1071, 236779, 236759, 19615, 236779, 28350, 1083, 236743, 236770, 236770, 236832, 236761, 236810, 236764, 623, 4818, 1083, 623, 87877, 827, 623, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 95108, 236779, 1071, 236779, 236759, 19615, 236779, 28350, 1083, 236743, 236828, 236778, 236761, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236832, 236810, 236771, 236771, 236761, 236778, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236828, 236832, 236825, 236810, 236761, 236812, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236828, 236825, 236812, 236800, 236761, 236832, 236778, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236819, 236832, 236771, 236771, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236819, 236832, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236800, 236825, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236819, 236810, 236778, 236800, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236828, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 122598, 27828, 810, 52956, 573, 13251, 528, 236743, 236778, 236771, 236778, 236800, 2721, 580, 1873, 5527, 1262, 236761, 49911, 2979, 1149, 9729, 8427, 10167, 580, 1626, 1051, 236772, 643, 15621, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236812, 236771, 236778, 236800, 236761, 236832, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6265, 1083, 623, 14447, 5970, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236828, 236812, 236800, 236771, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236771, 236812, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236771, 236812, 236812, 236812, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 8782, 23058, 2979, 20843, 573, 14440, 532, 8770, 3136, 30217, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236825, 236812, 236828, 236819, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6265, 1083, 623, 14447, 5970, 4025, 44540, 5774, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236832, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 236779, 149508, 1083, 236743, 236778, 236832, 236812, 236828, 236771, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236770, 236810, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236832, 236800, 236812, 236761, 236828, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236761, 236832, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6805, 1083, 623, 4002, 749, 236761, 236773, 236761, 11092, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236761, 236825, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236832, 236825, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 123553, 2721, 580, 4109, 5970, 1262, 236764, 3660, 531, 33847, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236828, 236810, 236812, 236800, 236761, 236832, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6265, 1083, 623, 14447, 5970, 4025, 44540, 5774, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236810, 236778, 236800, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 138764, 10967, 236793, 3660, 531, 33847, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 236779, 149508, 1083, 236743, 236770, 236810, 236778, 236800, 236771, 236761, 236812, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236810, 236828, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 216398, 236779, 2084, 1083, 623, 495, 10633, 827, 623, 27617, 1083, 623, 38556, 827, 623, 1516, 1083, 3714, 495, 10633, 236779, 216398, 236779, 83122, 1083, 236743, 236778, 236819, 236761, 236828, 236764, 623, 65739, 236779, 45861, 236779, 4212, 643, 28663, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 49494, 236779, 119141, 1083, 236743, 236810, 236761, 236800, 236764, 623, 6725, 236779, 65739, 236779, 50640, 1083, 236743, 236812, 236778, 236761, 236800, 236764, 623, 28128, 236779, 3119, 236779, 1340, 236779, 49915, 236779, 14356, 1083, 236743, 236825, 236761, 236828, 236764, 623, 3991, 236779, 45861, 236779, 35896, 1236, 1083, 11058, 27211, 4184, 827, 623, 44567, 827, 623, 109324, 14255, 623, 50771, 236779, 216398, 236779, 45118, 1083, 236743, 236800, 236832, 236761, 236778, 236764, 623, 83122, 236779, 45882, 236779, 21314, 236779, 236778, 236771, 236778, 236778, 1083, 236743, 236770, 236828, 236761, 236812, 1263, 623, 27617, 236779, 39588, 236779, 4720, 236779, 1071, 236779, 6047, 1083, 236743, 236770, 236832, 236761, 236770, 236778, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 216398, 236779, 2084, 1083, 623, 495, 10633, 827, 623, 27617, 1083, 623, 38556, 827, 623, 45861, 236779, 4212, 643, 28663, 1083, 236743, 236819, 236810, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 216398, 236779, 148373, 236751, 1083, 236743, 236819, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 49494, 236779, 119141, 1083, 236743, 236810, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 50640, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45861, 236779, 7284, 3843, 1083, 3714, 23019, 1083, 236743, 236800, 236778, 236764, 623, 519, 25105, 1083, 236743, 236825, 236810, 236764, 623, 1538, 1083, 236743, 236800, 1263, 623, 28263, 236779, 14210, 1083, 623, 79932, 32618, 3188, 9226, 20623, 12308, 607, 236743, 236825, 236810, 236908, 30434, 13131, 236761, 799, 10633, 41750, 2754, 236743, 236770, 236770, 236761, 236778, 236908, 529, 4559, 27828, 236764, 32427, 20623, 236789, 236751, 3629, 5527, 4100, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 216398, 236779, 2084, 1083, 623, 495, 10633, 827, 623, 27617, 1083, 623, 38556, 827, 623, 495, 10633, 236779, 148373, 236751, 1083, 236743, 236810, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 725, 10633, 236779, 119141, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 216398, 236779, 83122, 1083, 236743, 236800, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 65739, 236779, 50640, 1083, 236743, 236832, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 28128, 236779, 190966, 236779, 721, 236779, 45861, 1083, 236743, 236825, 236825, 236832, 236764, 623, 216398, 236779, 9846, 236779, 7284, 3843, 1083, 3714, 519, 25105, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 23019, 1083, 236743, 236771, 236761, 236778, 236764, 623, 1538, 1083, 236743, 236771, 236761, 236770, 236810, 1263, 623, 49494, 236779, 119141, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 13611, 1262, 3671, 529, 13251, 236764, 14145, 236764, 532, 24423, 3418, 16347, 2404, 236764, 5527, 3877, 236764, 532, 9226, 20623, 13728, 236764, 1590, 236789, 236751, 496, 31044, 10834, 531, 8214, 822, 20130, 12892, 4893, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 57800, 5554, 568, 120049, 236772, 1071, 236772, 74170, 66814, 62902, 107, 236909, 17694, 139, 236909, 236743, 236778, 236771, 236778, 236800, 59426, 236772, 1071, 236772, 74170, 66814, 1109, 13768, 1109, 107, 236909, 40673, 236909, 2819, 1611, 236909, 24912, 236909, 107, 236909, 5213, 85226, 1018, 1109, 236743, 236825, 236771, 236761, 236810, 236908, 153, 236909, 5213, 166920, 32180, 66515, 26959, 8479, 6658, 531, 27828, 12205, 78407, 16347, 25574, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 236743, 236770, 236770, 236832, 236761, 236810, 236908, 152, 236909, 5213, 13238, 32180, 66515, 175303, 2787, 236743, 236770, 236771, 236771, 236908, 11387, 1494, 50932, 580, 8479, 22617, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 236743, 236828, 236778, 236761, 236800, 236908, 150, 236909, 5213, 114954, 774, 32180, 66515, 6285, 17127, 8122, 607, 8479, 4535, 2787, 27828, 1913, 53786, 236761, 1109, 108, 7243, 108, 10354, 5213, 236778, 236761, 16875, 26608, 568, 74170, 3398, 227922, 236764, 236743, 236778, 236771, 236770, 236812, 236964, 236778, 236771, 236778, 236800, 62902, 107, 236909, 17694, 139, 236909, 236743, 236778, 236771, 236778, 236800, 27828, 3398, 227922, 1109, 236743, 236770, 236771, 236772, 16431, 26608, 1109, 9533, 48993, 1109, 107, 236909, 40673, 236909, 2819, 30104, 236909, 2819, 236909, 12857, 236909, 107, 236909, 5213, 85226, 1018, 1109, 609, 236770, 236771, 236764, 236828, 236771, 236771, 149, 236909, 900, 236812, 236812, 236908, 568, 2543, 609, 236832, 236764, 236810, 236771, 236771, 528, 236743, 236778, 236771, 236770, 236812, 236768, 1109, 132707, 3877, 877, 236772, 93913, 236764, 11409, 10941, 1868, 236772, 236778, 236771, 236778, 236771, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 609, 236800, 236770, 236764, 236810, 236771, 236771, 149, 236909, 753, 236832, 236761, 236812, 236908, 568, 2543, 609, 236800, 236812, 236764, 236771, 236778, 236800, 528, 236743, 236778, 236771, 236770, 236812, 236768, 1109, 4819, 877, 236772, 93913, 4535, 840, 35269, 16670, 1868, 236772, 236778, 236771, 236778, 236771, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 609, 236770, 236810, 236764, 236828, 236771, 236771, 147, 236909, 900, 236778, 236825, 236908, 568, 2543, 609, 236770, 236778, 236764, 236810, 236771, 236771, 528, 236743, 236778, 236771, 236770, 236812, 236768, 1109, 62477, 43866, 568, 236744, 236761, 236759, 1126, 609, 236828, 236764, 236810, 236812, 236800, 528, 236743, 236778, 236771, 236778, 236771, 7728, 236761, 609, 236770, 236810, 236764, 236828, 236771, 236771, 528, 236743, 236778, 236771, 236778, 236800, 769, 1109, 108, 1018, 10282, 66515, 14145, 236858, 236751, 27828, 810, 52956, 563, 7310, 840, 24984, 2779, 531, 10248, 18506, 236761, 24423, 236858, 236751, 236743, 236778, 236771, 236778, 236800, 38679, 1149, 7495, 15130, 179473, 653, 2822, 236772, 6061, 4957, 4518, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 32462, 37728, 75798, 1018, 107, 236909, 17694, 139, 236909, 236743, 236778, 236771, 236778, 236800, 799, 10633, 37728, 34607, 1109, 2144, 529, 27828, 1109, 32462, 168812, 1109, 107, 236909, 40673, 236909, 2819, 43386, 236909, 24912, 236909, 2819, 33129, 236909, 107, 236909, 5213, 85226, 1018, 1109, 609, 236778, 236819, 236761, 236828, 236799, 156, 236909, 2578, 236778, 236761, 236810, 236908, 140, 236909, 236743, 236800, 236810, 49073, 4109, 28917, 63558, 568, 236744, 236761, 236759, 1126, 971, 15893, 1030, 2275, 779, 28239, 41550, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 609, 236819, 236810, 236761, 236812, 236799, 156, 236909, 5213, 236770, 236770, 236761, 236778, 236908, 1018, 1109, 236743, 236810, 236771, 49073, 63558, 568, 236744, 236761, 236759, 1126, 50685, 38086, 65088, 39105, 779, 27768, 33461, 9226, 4749, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 609, 236810, 236761, 236778, 236799, 153, 236909, 2578, 236778, 236761, 236770, 236908, 140, 236909, 236743, 236770, 236778, 49073, 63558, 568, 236744, 236761, 236759, 1126, 129290, 25180, 23979, 779, 140657, 6540, 236761, 1109, 108, 1018, 79932, 1018, 11979, 855, 573, 20623, 236772, 27612, 5527, 4100, 236764, 840, 1061, 1494, 8479, 236772, 1071, 236772, 74170, 7232, 29933, 10928, 1003, 1440, 236772, 6061, 11646, 236761, 13251, 41131, 21037, 20623, 10471, 607, 16347, 112247, 236764, 1651, 24423, 236858, 236751, 20623, 7095, 563, 7100, 840, 6730, 236761, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 236909, 17694, 139, 236909, 48823, 1109, 4786, 1109, 88379, 2109, 573, 76257, 1109, 107, 236909, 40673, 236909, 33129, 236909, 33129, 236909, 2819, 12857, 236909, 107, 236909, 5213, 85226, 1018, 1109, 753, 84989, 16347, 4957, 236820, 1457, 41465, 90434, 2157, 529, 4882, 236820, 1457, 41465, 7536, 9226, 23060, 1109, 753, 26959, 27828, 810, 52956, 236820, 1457, 41465, 37728, 25020, 528, 3530, 9576, 1109, 5213, 51757, 65077, 66515, 80007, 11646, 607, 9226, 8744, 236764, 7436, 573, 7715, 236772, 29852, 113550, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 753, 4819, 27828, 810, 52956, 236820, 1457, 41465, 4109, 236772, 1999, 9226, 31087, 236820, 1457, 41465, 4819, 236772, 15276, 16106, 1109, 753, 4819, 4559, 8479, 236820, 1457, 41465, 105872, 2157, 529, 4882, 1109, 5213, 230879, 19993, 66515, 8890, 573, 1724, 132187, 9226, 9871, 532, 16106, 236764, 607, 26759, 573, 16347, 19262, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 753, 14533, 2157, 529, 4882, 236820, 1457, 41465, 49243, 9226, 9871, 236820, 1457, 41465, 27717, 1520, 502, 8904, 1109, 753, 16875, 43866, 236820, 1457, 41465, 59547, 13682, 236820, 1457, 41465, 26959, 20623, 12308, 1109, 5213, 13238, 236772, 71398, 236764, 4819, 236772, 86286, 66515, 66530, 573, 74974, 113550, 9650, 607, 19262, 236761, 1109, 108, 1018, 17667, 59336, 526, 66515, 138, 107, 236772, 5213, 30255, 77372, 13251, 1018, 768, 11646, 532, 101366, 659, 64737, 236761, 138, 107, 236772, 5213, 24501, 14145, 1018, 768, 9226, 75486, 532, 16106, 2802, 88542, 16347, 10928, 236761, 138, 107, 236772, 5213, 80182, 24423, 1018, 101376, 573, 496, 4709, 236764, 7715, 236772, 18865, 20130, 607, 3715, 5527, 4652, 236761, 108, 38786, 611, 1133, 531, 59638, 672, 3671, 3342, 684, 34629, 16106, 3797, 236764, 2157, 236772, 1340, 236772, 54301, 22697, 236764, 653, 10022, 1262, 573, 1239, 4808, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 33107, 528, 3493, 1518, 532, 1461, 531, 3050, 837, 4808, 1093, 577, 1791, 573, 1800, 5527, 11646, 532, 9226, 9871, 236761, 3792, 236789, 236751, 1502, 684, 22020, 506, 8479, 236772, 1071, 236772, 74170, 24781, 529, 13251, 236764, 14145, 236764, 532, 24423, 531, 5608, 16347, 2404, 236761, 18186, 580, 1724, 2536, 236764, 564, 236789, 236753, 1133, 531, 1460, 910, 27828, 810, 52956, 1024, 506, 1774, 15588, 531, 20138, 5527, 3877, 236761, 13472, 236764, 1531, 236789, 236751, 18840, 910, 20623, 14906, 531, 13901, 1217, 9226, 32468, 13157, 531, 910, 30296, 236761, 1174, 795, 1601, 786, 56856, 34091, 600, 8913, 607, 1041, 20130, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 95108, 236779, 1071, 236779, 236759, 19615, 236779, 28350, 1083, 236743, 236825, 236771, 236761, 236810, 236764, 623, 27617, 1083, 623, 20074, 236797, 827, 623, 6265, 1083, 623, 14447, 5970, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 95108, 236779, 1071, 236779, 236759, 19615, 236779, 28350, 1083, 236743, 236770, 236770, 236832, 236761, 236810, 236764, 623, 4818, 1083, 623, 87877, 827, 623, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 95108, 236779, 1071, 236779, 236759, 19615, 236779, 28350, 1083, 236743, 236828, 236778, 236761, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236832, 236810, 236771, 236771, 236761, 236778, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236828, 236832, 236825, 236810, 236761, 236812, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236828, 236825, 236812, 236800, 236761, 236832, 236778, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236819, 236832, 236771, 236771, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236819, 236832, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236800, 236825, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236819, 236810, 236778, 236800, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236810, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236828, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 122598, 27828, 810, 52956, 573, 13251, 528, 236743, 236778, 236771, 236778, 236800, 2721, 580, 1873, 5527, 1262, 236761, 49911, 2979, 1149, 9729, 8427, 10167, 580, 1626, 1051, 236772, 643, 15621, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236812, 236771, 236778, 236800, 236761, 236832, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6265, 1083, 623, 14447, 5970, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236828, 236812, 236800, 236771, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236771, 236812, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236771, 236812, 236812, 236812, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 8782, 23058, 2979, 20843, 573, 14440, 532, 8770, 3136, 30217, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236825, 236812, 236828, 236819, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6265, 1083, 623, 14447, 5970, 4025, 44540, 5774, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236778, 236832, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 236779, 149508, 1083, 236743, 236778, 236832, 236812, 236828, 236771, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236800, 236770, 236810, 236771, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236832, 236800, 236812, 236761, 236828, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236761, 236832, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6805, 1083, 623, 4002, 749, 236761, 236773, 236761, 11092, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236761, 236825, 236832, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236832, 236825, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 123553, 2721, 580, 4109, 5970, 1262, 236764, 3660, 531, 33847, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236828, 236810, 236812, 236800, 236761, 236832, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 6265, 1083, 623, 14447, 5970, 4025, 44540, 5774, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236771, 236810, 236778, 236800, 236761, 236812, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 14210, 1083, 623, 138764, 10967, 236793, 3660, 531, 33847, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 236779, 149508, 1083, 236743, 236770, 236810, 236778, 236800, 236771, 236761, 236812, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 236759, 19615, 236779, 721, 236779, 5565, 2665, 1083, 236743, 236770, 236810, 236828, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 85226, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 216398, 236779, 2084, 1083, 623, 495, 10633, 827, 623, 27617, 1083, 623, 38556, 827, 623, 1516, 1083, 3714, 495, 10633, 236779, 216398, 236779, 83122, 1083, 236743, 236778, 236819, 236761, 236828, 236764, 623, 65739, 236779, 45861, 236779, 4212, 643, 28663, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 49494, 236779, 119141, 1083, 236743, 236810, 236761, 236800, 236764, 623, 6725, 236779, 65739, 236779, 50640, 1083, 236743, 236812, 236778, 236761, 236800, 236764, 623, 28128, 236779, 3119, 236779, 1340, 236779, 49915, 236779, 14356, 1083, 236743, 236825, 236761, 236828, 236764, 623, 3991, 236779, 45861, 236779, 35896, 1236, 1083, 11058, 27211, 4184, 827, 623, 44567, 827, 623, 109324, 14255, 623, 50771, 236779, 216398, 236779, 45118, 1083, 236743, 236800, 236832, 236761, 236778, 236764, 623, 83122, 236779, 45882, 236779, 21314, 236779, 236778, 236771, 236778, 236778, 1083, 236743, 236770, 236828, 236761, 236812, 1263, 623, 27617, 236779, 39588, 236779, 4720, 236779, 1071, 236779, 6047, 1083, 236743, 236770, 236832, 236761, 236770, 236778, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 79932, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 216398, 236779, 2084, 1083, 623, 495, 10633, 827, 623, 27617, 1083, 623, 38556, 827, 623, 45861, 236779, 4212, 643, 28663, 1083, 236743, 236819, 236810, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 216398, 236779, 148373, 236751, 1083, 236743, 236819, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 49494, 236779, 119141, 1083, 236743, 236810, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 50640, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45861, 236779, 7284, 3843, 1083, 3714, 23019, 1083, 236743, 236800, 236778, 236764, 623, 519, 25105, 1083, 236743, 236825, 236810, 236764, 623, 1538, 1083, 236743, 236800, 1263, 623, 28263, 236779, 14210, 1083, 623, 79932, 32618, 3188, 9226, 20623, 12308, 607, 236743, 236825, 236810, 236908, 30434, 13131, 236761, 799, 10633, 41750, 2754, 236743, 236770, 236770, 236761, 236778, 236908, 529, 4559, 27828, 236764, 32427, 20623, 236789, 236751, 3629, 5527, 4100, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 109324, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 216398, 236779, 2084, 1083, 623, 495, 10633, 827, 623, 27617, 1083, 623, 38556, 827, 623, 495, 10633, 236779, 148373, 236751, 1083, 236743, 236810, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 725, 10633, 236779, 119141, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 216398, 236779, 83122, 1083, 236743, 236800, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 65739, 236779, 50640, 1083, 236743, 236832, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 28128, 236779, 190966, 236779, 721, 236779, 45861, 1083, 236743, 236825, 236825, 236832, 236764, 623, 216398, 236779, 9846, 236779, 7284, 3843, 1083, 3714, 519, 25105, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 23019, 1083, 236743, 236771, 236761, 236778, 236764, 623, 1538, 1083, 236743, 236771, 236761, 236770, 236810, 1263, 623, 49494, 236779, 119141, 1083, 236743, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 13611, 1262, 3671, 529, 13251, 236764, 14145, 236764, 532, 24423, 3418, 16347, 2404, 236764, 5527, 3877, 236764, 532, 9226, 20623, 13728, 236764, 1590, 236789, 236751, 496, 31044, 10834, 531, 8214, 822, 20130, 12892, 4893, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 57800, 5554, 568, 120049, 236772, 1071, 236772, 74170, 66814, 62902, 107, 236909, 17694, 139, 236909, 236743, 236778, 236771, 236778, 236800, 59426, 236772, 1071, 236772, 74170, 66814, 1109, 13768, 1109, 107, 236909, 40673, 236909, 2819, 1611, 236909, 24912, 236909, 107, 236909, 5213, 85226, 1018, 1109, 236743, 236825, 236771, 236761, 236810, 236908, 153, 236909, 5213, 166920, 32180, 66515, 26959, 8479, 6658, 531, 27828, 12205, 78407, 16347, 25574, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 236743, 236770, 236770, 236832, 236761, 236810, 236908, 152, 236909, 5213, 13238, 32180, 66515, 175303, 2787, 236743, 236770, 236771, 236771, 236908, 11387, 1494, 50932, 580, 8479, 22617, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 236743, 236828, 236778, 236761, 236800, 236908, 150, 236909, 5213, 114954, 774, 32180, 66515, 6285, 17127, 8122, 607, 8479, 4535, 2787, 27828, 1913, 53786, 236761, 1109, 108, 7243, 108, 10354, 5213, 236778, 236761, 16875, 26608, 568, 74170, 3398, 227922, 236764, 236743, 236778, 236771, 236770, 236812, 236964, 236778, 236771, 236778, 236800, 62902, 107, 236909, 17694, 139, 236909, 236743, 236778, 236771, 236778, 236800, 27828, 3398, 227922, 1109, 236743, 236770, 236771, 236772, 16431, 26608, 1109, 9533, 48993, 1109, 107, 236909, 40673, 236909, 2819, 30104, 236909, 2819, 236909, 12857, 236909, 107, 236909, 5213, 85226, 1018, 1109, 609, 236770, 236771, 236764, 236828, 236771, 236771, 149, 236909, 900, 236812, 236812, 236908, 568, 2543, 609, 236832, 236764, 236810, 236771, 236771, 528, 236743, 236778, 236771, 236770, 236812, 236768, 1109, 132707, 3877, 877, 236772, 93913, 236764, 11409, 10941, 1868, 236772, 236778, 236771, 236778, 236771, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 609, 236800, 236770, 236764, 236810, 236771, 236771, 149, 236909, 753, 236832, 236761, 236812, 236908, 568, 2543, 609, 236800, 236812, 236764, 236771, 236778, 236800, 528, 236743, 236778, 236771, 236770, 236812, 236768, 1109, 4819, 877, 236772, 93913, 4535, 840, 35269, 16670, 1868, 236772, 236778, 236771, 236778, 236771, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 609, 236770, 236810, 236764, 236828, 236771, 236771, 147, 236909, 900, 236778, 236825, 236908, 568, 2543, 609, 236770, 236778, 236764, 236810, 236771, 236771, 528, 236743, 236778, 236771, 236770, 236812, 236768, 1109, 62477, 43866, 568, 236744, 236761, 236759, 1126, 609, 236828, 236764, 236810, 236812, 236800, 528, 236743, 236778, 236771, 236778, 236771, 7728, 236761, 609, 236770, 236810, 236764, 236828, 236771, 236771, 528, 236743, 236778, 236771, 236778, 236800, 769, 1109, 108, 1018, 10282, 66515, 14145, 236858, 236751, 27828, 810, 52956, 563, 7310, 840, 24984, 2779, 531, 10248, 18506, 236761, 24423, 236858, 236751, 236743, 236778, 236771, 236778, 236800, 38679, 1149, 7495, 15130, 179473, 653, 2822, 236772, 6061, 4957, 4518, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 32462, 37728, 75798, 1018, 107, 236909, 17694, 139, 236909, 236743, 236778, 236771, 236778, 236800, 799, 10633, 37728, 34607, 1109, 2144, 529, 27828, 1109, 32462, 168812, 1109, 107, 236909, 40673, 236909, 2819, 43386, 236909, 24912, 236909, 2819, 33129, 236909, 107, 236909, 5213, 85226, 1018, 1109, 609, 236778, 236819, 236761, 236828, 236799, 156, 236909, 2578, 236778, 236761, 236810, 236908, 140, 236909, 236743, 236800, 236810, 49073, 4109, 28917, 63558, 568, 236744, 236761, 236759, 1126, 971, 15893, 1030, 2275, 779, 28239, 41550, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 609, 236819, 236810, 236761, 236812, 236799, 156, 236909, 5213, 236770, 236770, 236761, 236778, 236908, 1018, 1109, 236743, 236810, 236771, 49073, 63558, 568, 236744, 236761, 236759, 1126, 50685, 38086, 65088, 39105, 779, 27768, 33461, 9226, 4749, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 609, 236810, 236761, 236778, 236799, 153, 236909, 2578, 236778, 236761, 236770, 236908, 140, 236909, 236743, 236770, 236778, 49073, 63558, 568, 236744, 236761, 236759, 1126, 129290, 25180, 23979, 779, 140657, 6540, 236761, 1109, 108, 1018, 79932, 1018, 11979, 855, 573, 20623, 236772, 27612, 5527, 4100, 236764, 840, 1061, 1494, 8479, 236772, 1071, 236772, 74170, 7232, 29933, 10928, 1003, 1440, 236772, 6061, 11646, 236761, 13251, 41131, 21037, 20623, 10471, 607, 16347, 112247, 236764, 1651, 24423, 236858, 236751, 20623, 7095, 563, 7100, 840, 6730, 236761, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 236909, 17694, 139, 236909, 48823, 1109, 4786, 1109, 88379, 2109, 573, 76257, 1109, 107, 236909, 40673, 236909, 33129, 236909, 33129, 236909, 2819, 12857, 236909, 107, 236909, 5213, 85226, 1018, 1109, 753, 84989, 16347, 4957, 236820, 1457, 41465, 90434, 2157, 529, 4882, 236820, 1457, 41465, 7536, 9226, 23060, 1109, 753, 26959, 27828, 810, 52956, 236820, 1457, 41465, 37728, 25020, 528, 3530, 9576, 1109, 5213, 51757, 65077, 66515, 80007, 11646, 607, 9226, 8744, 236764, 7436, 573, 7715, 236772, 29852, 113550, 236761, 1109, 107, 236909, 5213, 79932, 1018, 138, 236909, 753, 4819, 27828, 810, 52956, 236820, 1457, 41465, 4109, 236772, 1999, 9226, 31087, 236820, 1457, 41465, 4819, 236772, 15276, 16106, 1109, 753, 4819, 4559, 8479, 236820, 1457, 41465, 105872, 2157, 529, 4882, 1109, 5213, 230879, 19993, 66515, 8890, 573, 1724, 132187, 9226, 9871, 532, 16106, 236764, 607, 26759, 573, 16347, 19262, 236761, 1109, 107, 236909, 5213, 109324, 1018, 1109, 753, 14533, 2157, 529, 4882, 236820, 1457, 41465, 49243, 9226, 9871, 236820, 1457, 41465, 27717, 1520, 502, 8904, 1109, 753, 16875, 43866, 236820, 1457, 41465, 59547, 13682, 236820, 1457, 41465, 26959, 20623, 12308, 1109, 5213, 13238, 236772, 71398, 236764, 4819, 236772, 86286, 66515, 66530, 573, 74974, 113550, 9650, 607, 19262, 236761, 1109, 108, 1018, 17667, 59336, 526, 66515, 138, 107, 236772, 5213, 30255, 77372, 13251, 1018, 768, 11646, 532, 101366, 659, 64737, 236761, 138, 107, 236772, 5213, 24501, 14145, 1018, 768, 9226, 75486, 532, 16106, 2802, 88542, 16347, 10928, 236761, 138, 107, 236772, 5213, 80182, 24423, 1018, 101376, 573, 496, 4709, 236764, 7715, 236772, 18865, 20130, 607, 3715, 5527, 4652, 236761, 108, 38786, 611, 1133, 531, 59638, 672, 3671, 3342, 684, 34629, 16106, 3797, 236764, 2157, 236772, 1340, 236772, 54301, 22697, 236764, 653, 10022, 1262, 573, 1239, 4808, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 496, 14853, 3489, 4676, 1003, 496, 1944, 1610, 14680, 13922, 528, 496, 186100, 9744, 672, 5312, 236764, 532, 564, 236789, 236753, 2765, 531, 8729, 496, 30658, 529, 506, 60400, 531, 5383, 573, 1041, 4301, 6995, 236761, 669, 10739, 563, 4560, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 236761, 28344, 611, 1601, 786, 2619, 496, 30658, 1699, 600, 3205, 236881, 564, 5630, 611, 6950, 1646, 2735, 531, 776, 2613, 1133, 600, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19852, 236779, 2451, 1083, 623, 2574, 1411, 4000, 635, 42698, 236761, 854, 236786, 236766, 236770, 236786, 88529, 236786, 236757, 236779, 2574, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 236881, 20097, 236784, 236770, 827, 623, 4818, 1083, 623, 19631, 827, 623, 1811, 619, 1371, 1083, 1847, 236764, 623, 2086, 1083, 623, 28602, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 30658, 7835, 699, 506, 60400, 611, 6950, 236787, 108, 24960, 236774, 605, 4881, 4585, 15467, 230303, 5457, 2574, 1411, 4000, 635, 42698, 236761, 854, 236786, 236766, 236770, 236786, 88529, 236786, 236757, 236779, 2574, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 236881, 20097, 236784, 236770, 236768, 108, 236777, 236789, 560, 7835, 672, 1699, 506, 2165, 828, 236779, 236770, 236779, 51375, 236779, 19852, 236929, 5904, 607, 236787, 107, 236772, 19511, 236787, 35202, 568, 6665, 236768, 107, 236772, 10739, 236787, 4560, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 107, 236772, 83910, 236787, 222271, 568, 1071, 5330, 625, 236789, 236751, 872, 236772, 1071, 236772, 1896, 236768, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2425, 653, 1202, 1027, 1032, 24382, 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, 496, 14853, 3489, 4676, 1003, 496, 1944, 1610, 14680, 13922, 528, 496, 186100, 9744, 672, 5312, 236764, 532, 564, 236789, 236753, 2765, 531, 8729, 496, 30658, 529, 506, 60400, 531, 5383, 573, 1041, 4301, 6995, 236761, 669, 10739, 563, 4560, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 236761, 28344, 611, 1601, 786, 2619, 496, 30658, 1699, 600, 3205, 236881, 564, 5630, 611, 6950, 1646, 2735, 531, 776, 2613, 1133, 600, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19852, 236779, 2451, 1083, 623, 2574, 1411, 4000, 635, 42698, 236761, 854, 236786, 236766, 236770, 236786, 88529, 236786, 236757, 236779, 2574, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 236881, 20097, 236784, 236770, 827, 623, 4818, 1083, 623, 19631, 827, 623, 1811, 619, 1371, 1083, 1847, 236764, 623, 2086, 1083, 623, 28602, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 30658, 7835, 699, 506, 60400, 611, 6950, 236787, 108, 24960, 236774, 605, 4881, 4585, 15467, 230303, 5457, 2574, 1411, 4000, 635, 42698, 236761, 854, 236786, 236766, 236770, 236786, 88529, 236786, 236757, 236779, 2574, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 236881, 20097, 236784, 236770, 236768, 108, 236777, 236789, 560, 7835, 672, 1699, 506, 2165, 828, 236779, 236770, 236779, 51375, 236779, 19852, 236929, 5904, 607, 236787, 107, 236772, 19511, 236787, 35202, 568, 6665, 236768, 107, 236772, 10739, 236787, 4560, 1411, 2769, 236761, 43201, 1693, 236762, 236761, 854, 236786, 102367, 4881, 236772, 661, 236772, 134350, 236772, 236778, 236771, 236778, 236812, 107, 236772, 83910, 236787, 222271, 568, 1071, 5330, 625, 236789, 236751, 872, 236772, 1071, 236772, 1896, 236768, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 6253, 506, 2425, 653, 1202, 1027, 1032, 24382, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 672, 5427, 11285, 211272, 26908, 5528, 3489, 568, 3304, 10739, 236787, 4560, 1411, 8358, 236761, 854, 236786, 27854, 236772, 6516, 236761, 4034, 236768, 532, 564, 1461, 531, 2729, 3361, 14062, 528, 1041, 3402, 46155, 236761, 3199, 611, 1161, 3927, 236779, 2003, 236779, 3304, 531, 1586, 3361, 18838, 236881, 4298, 236764, 12019, 1679, 506, 2536, 531, 1186, 211272, 26908, 18838, 1208, 609, 236770, 236810, 236771, 236764, 532, 4260, 1091, 699, 45920, 531, 1346, 11162, 236881, 564, 236789, 236753, 2765, 531, 1460, 506, 1903, 236743, 236810, 3835, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 12103, 1083, 870, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236771, 236771, 236770, 827, 107, 142, 236775, 1201, 1083, 623, 57782, 65283, 183675, 26908, 31784, 827, 107, 142, 236775, 9707, 1083, 236743, 236810, 236819, 236761, 236819, 236819, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236770, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236770, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236771, 236812, 236810, 236764, 107, 142, 236775, 1201, 1083, 623, 83738, 65283, 183675, 26908, 55459, 641, 803, 827, 107, 142, 236775, 9707, 1083, 236743, 236832, 236819, 236761, 236810, 236771, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236778, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236778, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236770, 236770, 236778, 236764, 107, 142, 236775, 1201, 1083, 623, 113840, 65283, 183675, 26908, 7803, 827, 107, 142, 236775, 9707, 1083, 236743, 236819, 236819, 236761, 236819, 236810, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236800, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236800, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236778, 236771, 236832, 236764, 107, 142, 236775, 1201, 1083, 623, 223845, 21072, 65283, 183675, 26908, 827, 107, 142, 236775, 9707, 1083, 236743, 236770, 236778, 236810, 236761, 236771, 236771, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236812, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236812, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236800, 236771, 236800, 236764, 107, 142, 236775, 1201, 1083, 623, 32899, 65283, 183675, 26908, 50154, 827, 107, 142, 236775, 9707, 1083, 236743, 236770, 236812, 236778, 236761, 236819, 236819, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236810, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236810, 236779, 32781, 236761, 4034, 236775, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 6011, 1083, 642, 107, 140, 236775, 6725, 236779, 12103, 1083, 236743, 236800, 236832, 236764, 107, 140, 236775, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 107, 140, 236775, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236810, 236764, 107, 140, 236775, 41028, 236779, 2003, 1083, 642, 107, 142, 236775, 2074, 9707, 1083, 236743, 236770, 236810, 236771, 236764, 107, 142, 236775, 10479, 1083, 623, 9707, 236779, 12456, 236775, 107, 140, 236783, 107, 138, 236783, 107, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 17075, 211272, 26908, 18838, 3361, 531, 822, 11285, 1702, 236764, 19372, 699, 45920, 531, 1346, 11162, 236787, 108, 236770, 236761, 5213, 57782, 65283, 183675, 26908, 31784, 1018, 138, 107, 139, 236795, 236810, 236819, 236761, 236819, 236819, 4924, 50428, 236812, 236761, 236832, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236770, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236770, 236779, 32781, 236761, 4034, 236768, 108, 236778, 236761, 5213, 83738, 65283, 183675, 26908, 55459, 641, 803, 1018, 138, 107, 139, 236795, 236832, 236819, 236761, 236810, 236771, 4924, 50428, 236812, 236761, 236825, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236778, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236778, 236779, 32781, 236761, 4034, 236768, 108, 236800, 236761, 5213, 113840, 65283, 183675, 26908, 7803, 1018, 138, 107, 139, 236795, 236819, 236819, 236761, 236819, 236810, 4924, 50428, 236812, 236761, 236828, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236800, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236800, 236779, 32781, 236761, 4034, 236768, 108, 236812, 236761, 5213, 223845, 21072, 65283, 183675, 26908, 1018, 138, 107, 139, 236795, 236770, 236778, 236810, 236761, 236771, 236771, 4924, 50428, 236812, 236761, 236810, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236812, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236812, 236779, 32781, 236761, 4034, 236768, 108, 236810, 236761, 5213, 32899, 65283, 183675, 26908, 50154, 1018, 138, 107, 139, 236795, 236770, 236812, 236778, 236761, 236819, 236819, 4924, 50428, 236812, 236761, 236819, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236810, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236810, 236779, 32781, 236761, 4034, 236768, 108, 10354, 25252, 107, 236772, 5213, 67911, 6055, 66515, 14584, 38010, 609, 236770, 236810, 236771, 138, 107, 236772, 5213, 9640, 3835, 1765, 66515, 236743, 236800, 236832, 568, 99157, 1903, 236743, 236810, 236768, 138, 107, 236772, 5213, 24640, 1900, 66515, 14533, 531, 1494, 3385, 138, 108, 38786, 611, 1133, 531, 11327, 919, 3835, 568, 236744, 236761, 236759, 1126, 3104, 236743, 236778, 779, 6253, 18774, 236764, 653, 2426, 4889, 1003, 1027, 529, 1239, 18838, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 672, 5427, 11285, 211272, 26908, 5528, 3489, 568, 3304, 10739, 236787, 4560, 1411, 8358, 236761, 854, 236786, 27854, 236772, 6516, 236761, 4034, 236768, 532, 564, 1461, 531, 2729, 3361, 14062, 528, 1041, 3402, 46155, 236761, 3199, 611, 1161, 3927, 236779, 2003, 236779, 3304, 531, 1586, 3361, 18838, 236881, 4298, 236764, 12019, 1679, 506, 2536, 531, 1186, 211272, 26908, 18838, 1208, 609, 236770, 236810, 236771, 236764, 532, 4260, 1091, 699, 45920, 531, 1346, 11162, 236881, 564, 236789, 236753, 2765, 531, 1460, 506, 1903, 236743, 236810, 3835, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 12103, 1083, 870, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236771, 236771, 236770, 827, 107, 142, 236775, 1201, 1083, 623, 57782, 65283, 183675, 26908, 31784, 827, 107, 142, 236775, 9707, 1083, 236743, 236810, 236819, 236761, 236819, 236819, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236770, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236770, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236771, 236812, 236810, 236764, 107, 142, 236775, 1201, 1083, 623, 83738, 65283, 183675, 26908, 55459, 641, 803, 827, 107, 142, 236775, 9707, 1083, 236743, 236832, 236819, 236761, 236810, 236771, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236778, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236778, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236770, 236770, 236778, 236764, 107, 142, 236775, 1201, 1083, 623, 113840, 65283, 183675, 26908, 7803, 827, 107, 142, 236775, 9707, 1083, 236743, 236819, 236819, 236761, 236819, 236810, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236800, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236800, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236778, 236771, 236832, 236764, 107, 142, 236775, 1201, 1083, 623, 223845, 21072, 65283, 183675, 26908, 827, 107, 142, 236775, 9707, 1083, 236743, 236770, 236778, 236810, 236761, 236771, 236771, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236812, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236812, 236779, 32781, 236761, 4034, 236775, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1582, 236779, 547, 1083, 623, 58708, 236800, 236771, 236800, 236764, 107, 142, 236775, 1201, 1083, 623, 32899, 65283, 183675, 26908, 50154, 827, 107, 142, 236775, 9707, 1083, 236743, 236770, 236812, 236778, 236761, 236819, 236819, 236764, 107, 142, 236775, 27617, 1083, 623, 38556, 827, 107, 142, 236775, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 107, 142, 236775, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236810, 827, 107, 142, 236775, 19852, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236810, 236779, 32781, 236761, 4034, 236775, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 6011, 1083, 642, 107, 140, 236775, 6725, 236779, 12103, 1083, 236743, 236800, 236832, 236764, 107, 140, 236775, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 107, 140, 236775, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236810, 236764, 107, 140, 236775, 41028, 236779, 2003, 1083, 642, 107, 142, 236775, 2074, 9707, 1083, 236743, 236770, 236810, 236771, 236764, 107, 142, 236775, 10479, 1083, 623, 9707, 236779, 12456, 236775, 107, 140, 236783, 107, 138, 236783, 107, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 17075, 211272, 26908, 18838, 3361, 531, 822, 11285, 1702, 236764, 19372, 699, 45920, 531, 1346, 11162, 236787, 108, 236770, 236761, 5213, 57782, 65283, 183675, 26908, 31784, 1018, 138, 107, 139, 236795, 236810, 236819, 236761, 236819, 236819, 4924, 50428, 236812, 236761, 236832, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236770, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236770, 236779, 32781, 236761, 4034, 236768, 108, 236778, 236761, 5213, 83738, 65283, 183675, 26908, 55459, 641, 803, 1018, 138, 107, 139, 236795, 236832, 236819, 236761, 236810, 236771, 4924, 50428, 236812, 236761, 236825, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236778, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236778, 236779, 32781, 236761, 4034, 236768, 108, 236800, 236761, 5213, 113840, 65283, 183675, 26908, 7803, 1018, 138, 107, 139, 236795, 236819, 236819, 236761, 236819, 236810, 4924, 50428, 236812, 236761, 236828, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236800, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236800, 236779, 32781, 236761, 4034, 236768, 108, 236812, 236761, 5213, 223845, 21072, 65283, 183675, 26908, 1018, 138, 107, 139, 236795, 236770, 236778, 236810, 236761, 236771, 236771, 4924, 50428, 236812, 236761, 236810, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236812, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236812, 236779, 32781, 236761, 4034, 236768, 108, 236810, 236761, 5213, 32899, 65283, 183675, 26908, 50154, 1018, 138, 107, 139, 236795, 236770, 236812, 236778, 236761, 236819, 236819, 4924, 50428, 236812, 236761, 236819, 138, 107, 139, 236840, 2039, 1698, 5457, 2574, 1411, 8358, 236761, 854, 236786, 195276, 62641, 236772, 6516, 236810, 236768, 1109, 870, 61578, 5457, 2574, 1411, 8358, 236761, 854, 236786, 17959, 236810, 236779, 32781, 236761, 4034, 236768, 108, 10354, 25252, 107, 236772, 5213, 67911, 6055, 66515, 14584, 38010, 609, 236770, 236810, 236771, 138, 107, 236772, 5213, 9640, 3835, 1765, 66515, 236743, 236800, 236832, 568, 99157, 1903, 236743, 236810, 236768, 138, 107, 236772, 5213, 24640, 1900, 66515, 14533, 531, 1494, 3385, 138, 108, 38786, 611, 1133, 531, 11327, 919, 3835, 568, 236744, 236761, 236759, 1126, 3104, 236743, 236778, 779, 6253, 18774, 236764, 653, 2426, 4889, 1003, 1027, 529, 1239, 18838, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 12270, 506, 3068, 27169, 4749, 699, 3104, 236743, 236800, 236761, 3199, 611, 1386, 506, 2864, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 27169, 4749, 653, 8564, 7413, 3004, 236761, 669, 1186, 2487, 5904, 568, 828, 236779, 25385, 236779, 1516, 236779, 2003, 236779, 47275, 236779, 2451, 236768, 165522, 2544, 1262, 699, 38737, 60973, 236764, 837, 5889, 236789, 236745, 11955, 531, 822, 2864, 1003, 27169, 4749, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 12270, 506, 3068, 27169, 4749, 699, 3104, 236743, 236800, 236761, 3199, 611, 1386, 506, 2864, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 27169, 4749, 653, 8564, 7413, 3004, 236761, 669, 1186, 2487, 5904, 568, 828, 236779, 25385, 236779, 1516, 236779, 2003, 236779, 47275, 236779, 2451, 236768, 165522, 2544, 1262, 699, 38737, 60973, 236764, 837, 5889, 236789, 236745, 11955, 531, 822, 2864, 1003, 27169, 4749, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2299, 7946, 531, 13251, 4085, 532, 15687, 236764, 532, 564, 1202, 531, 9279, 506, 7715, 528, 1800, 2263, 48234, 236761, 5315, 236764, 740, 611, 1694, 784, 2487, 48234, 834, 564, 740, 8701, 506, 4338, 17253, 573, 26135, 42466, 585, 532, 100608, 236881, 4298, 236764, 564, 236789, 859, 1202, 506, 6524, 8770, 6224, 573, 1239, 1156, 48234, 6658, 531, 506, 2590, 46754, 236761, 13472, 236764, 1451, 611, 2426, 506, 11858, 8770, 6224, 573, 1800, 45796, 236797, 532, 35594, 618, 529, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 531, 10769, 1217, 901, 236789, 560, 24312, 774, 1024, 506, 3068, 1051, 236881, 3792, 236789, 236751, 1502, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 78493, 3970, 1083, 623, 38556, 827, 623, 1201, 1083, 623, 3118, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 79271, 827, 623, 1201, 1083, 623, 66574, 827, 623, 22037, 1083, 6443, 236756, 236778, 236771, 552, 23179, 3714, 3970, 1083, 623, 20074, 236797, 827, 623, 1201, 1083, 623, 158333, 134806, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 142026, 827, 623, 1201, 1083, 623, 53485, 105511, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236800, 23179, 3714, 3970, 1083, 623, 198481, 827, 623, 1201, 1083, 623, 53187, 81027, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236810, 23179, 3714, 3970, 1083, 623, 65742, 827, 623, 1201, 1083, 623, 78490, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 51360, 827, 623, 1201, 1083, 623, 72888, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 150246, 827, 623, 1201, 1083, 623, 112946, 8087, 827, 623, 22037, 1083, 623, 4255, 23179, 3714, 3970, 1083, 623, 9353, 236874, 827, 623, 1201, 1083, 623, 48308, 54409, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236810, 23179, 3714, 3970, 1083, 623, 1989, 236855, 827, 623, 1201, 1083, 623, 196559, 85758, 236746, 827, 623, 22037, 1083, 623, 18600, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 1083, 623, 38556, 827, 623, 14473, 1083, 3714, 20074, 236797, 1083, 236743, 236770, 236828, 236761, 236778, 236800, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236819, 236770, 236832, 236810, 1263, 623, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 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, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 39588, 236779, 14473, 1083, 3714, 38556, 236786, 20074, 236797, 1083, 236743, 236778, 236771, 236761, 236770, 236810, 236764, 623, 38556, 236786, 79271, 1083, 236743, 236771, 236761, 236828, 236828, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 25890, 573, 822, 7946, 7715, 236787, 108, 236770, 236761, 5213, 51574, 62610, 13810, 8593, 53121, 107, 139, 236772, 26135, 134806, 236787, 45796, 236797, 6131, 236768, 107, 139, 236772, 16152, 236787, 35594, 151969, 236768, 108, 236778, 236761, 5213, 54365, 19651, 58041, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 1473, 1018, 107, 139, 236772, 236743, 236770, 23058, 578, 236743, 236770, 236828, 236761, 236778, 236800, 45796, 236797, 107, 139, 236772, 236743, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236770, 236832, 236810, 35594, 108, 236800, 236761, 5213, 100368, 58041, 568, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 1473, 1018, 107, 139, 236772, 23058, 236786, 20074, 236797, 236787, 236743, 236778, 236771, 236761, 236770, 236810, 107, 139, 236772, 23058, 236786, 79271, 236787, 236743, 236771, 236761, 236828, 236828, 108, 818, 26135, 134806, 815, 22572, 2342, 506, 23058, 2338, 6027, 568, 2543, 236743, 236778, 236771, 236761, 236770, 236810, 531, 236743, 236770, 236828, 236761, 236778, 236800, 779, 1651, 506, 16152, 815, 144968, 774, 8427, 568, 2543, 236743, 236771, 236761, 236828, 236828, 531, 236743, 236771, 236761, 236819, 236770, 236832, 236810, 769, 21284, 611, 1133, 1601, 31236, 3530, 7715, 12136, 528, 3477, 45796, 236797, 653, 35594, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2299, 7946, 531, 13251, 4085, 532, 15687, 236764, 532, 564, 1202, 531, 9279, 506, 7715, 528, 1800, 2263, 48234, 236761, 5315, 236764, 740, 611, 1694, 784, 2487, 48234, 834, 564, 740, 8701, 506, 4338, 17253, 573, 26135, 42466, 585, 532, 100608, 236881, 4298, 236764, 564, 236789, 859, 1202, 506, 6524, 8770, 6224, 573, 1239, 1156, 48234, 6658, 531, 506, 2590, 46754, 236761, 13472, 236764, 1451, 611, 2426, 506, 11858, 8770, 6224, 573, 1800, 45796, 236797, 532, 35594, 618, 529, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 531, 10769, 1217, 901, 236789, 560, 24312, 774, 1024, 506, 3068, 1051, 236881, 3792, 236789, 236751, 1502, 607, 506, 1171, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 222534, 1083, 78493, 3970, 1083, 623, 38556, 827, 623, 1201, 1083, 623, 3118, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 79271, 827, 623, 1201, 1083, 623, 66574, 827, 623, 22037, 1083, 6443, 236756, 236778, 236771, 552, 23179, 3714, 3970, 1083, 623, 20074, 236797, 827, 623, 1201, 1083, 623, 158333, 134806, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 142026, 827, 623, 1201, 1083, 623, 53485, 105511, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236800, 23179, 3714, 3970, 1083, 623, 198481, 827, 623, 1201, 1083, 623, 53187, 81027, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236810, 23179, 3714, 3970, 1083, 623, 65742, 827, 623, 1201, 1083, 623, 78490, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 51360, 827, 623, 1201, 1083, 623, 72888, 46754, 827, 623, 22037, 1083, 6610, 23179, 3714, 3970, 1083, 623, 150246, 827, 623, 1201, 1083, 623, 112946, 8087, 827, 623, 22037, 1083, 623, 4255, 23179, 3714, 3970, 1083, 623, 9353, 236874, 827, 623, 1201, 1083, 623, 48308, 54409, 827, 623, 22037, 1083, 6443, 236756, 236771, 236771, 236746, 236810, 23179, 3714, 3970, 1083, 623, 1989, 236855, 827, 623, 1201, 1083, 623, 196559, 85758, 236746, 827, 623, 22037, 1083, 623, 18600, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5521, 1083, 623, 38556, 827, 623, 14473, 1083, 3714, 20074, 236797, 1083, 236743, 236770, 236828, 236761, 236778, 236800, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236819, 236770, 236832, 236810, 1263, 623, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 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, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 39588, 236779, 14473, 1083, 3714, 38556, 236786, 20074, 236797, 1083, 236743, 236778, 236771, 236761, 236770, 236810, 236764, 623, 38556, 236786, 79271, 1083, 236743, 236771, 236761, 236828, 236828, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 25890, 573, 822, 7946, 7715, 236787, 108, 236770, 236761, 5213, 51574, 62610, 13810, 8593, 53121, 107, 139, 236772, 26135, 134806, 236787, 45796, 236797, 6131, 236768, 107, 139, 236772, 16152, 236787, 35594, 151969, 236768, 108, 236778, 236761, 5213, 54365, 19651, 58041, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 1473, 1018, 107, 139, 236772, 236743, 236770, 23058, 578, 236743, 236770, 236828, 236761, 236778, 236800, 45796, 236797, 107, 139, 236772, 236743, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236770, 236832, 236810, 35594, 108, 236800, 236761, 5213, 100368, 58041, 568, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 1473, 1018, 107, 139, 236772, 23058, 236786, 20074, 236797, 236787, 236743, 236778, 236771, 236761, 236770, 236810, 107, 139, 236772, 23058, 236786, 79271, 236787, 236743, 236771, 236761, 236828, 236828, 108, 818, 26135, 134806, 815, 22572, 2342, 506, 23058, 2338, 6027, 568, 2543, 236743, 236778, 236771, 236761, 236770, 236810, 531, 236743, 236770, 236828, 236761, 236778, 236800, 779, 1651, 506, 16152, 815, 144968, 774, 8427, 568, 2543, 236743, 236771, 236761, 236828, 236828, 531, 236743, 236771, 236761, 236819, 236770, 236832, 236810, 769, 21284, 611, 1133, 1601, 31236, 3530, 7715, 12136, 528, 3477, 45796, 236797, 653, 35594, 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, 2844, 580, 496, 2401, 155506, 2203, 607, 496, 19548, 7824, 573, 496, 4430, 236761, 28344, 611, 1601, 786, 1586, 1070, 13154, 4596, 531, 19548, 236881, 15704, 1502, 684, 19460, 573, 13154, 528, 600, 18355, 834, 564, 740, 974, 1070, 7426, 18014, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 818, 28707, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236819, 236764, 623, 62644, 1083, 623, 236798, 1925, 79780, 26017, 236764, 96828, 79780, 26017, 827, 623, 86708, 1083, 11058, 132772, 827, 623, 46422, 827, 623, 6796, 795, 152254, 3714, 3250, 1083, 623, 902, 2240, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236771, 236764, 623, 62644, 1083, 623, 87950, 85635, 827, 623, 86708, 1083, 11058, 216054, 827, 623, 20624, 827, 623, 36809, 152254, 3714, 3250, 1083, 623, 223360, 74758, 529, 506, 24495, 1933, 24604, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236812, 236764, 623, 62644, 1083, 623, 93264, 99027, 824, 827, 623, 86708, 1083, 11058, 21867, 827, 623, 20624, 827, 623, 23214, 4194, 152254, 3714, 3250, 1083, 623, 236824, 1557, 8586, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236770, 236764, 623, 62644, 1083, 623, 40421, 10297, 64011, 827, 623, 86708, 1083, 11058, 122768, 12273, 827, 623, 216054, 827, 623, 194764, 152254, 3714, 3250, 1083, 623, 818, 118210, 8754, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236828, 236764, 623, 62644, 1083, 623, 38898, 112546, 827, 623, 86708, 1083, 11058, 132772, 827, 623, 6796, 795, 827, 623, 10494, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 19548, 236772, 68122, 13154, 600, 2473, 30463, 822, 155506, 2203, 236787, 108, 236770, 236761, 5213, 818, 28707, 568, 236770, 236819, 236819, 236819, 62902, 138, 107, 139, 236829, 195642, 63508, 60176, 236764, 10664, 236764, 2196, 795, 138, 107, 139, 236829, 194135, 63508, 144593, 833, 96828, 79780, 26017, 138, 107, 139, 20647, 2985, 33939, 9496, 532, 84683, 5313, 236761, 108, 236778, 236761, 5213, 902, 2240, 568, 236778, 236771, 236770, 236771, 62902, 138, 107, 139, 236829, 195642, 63508, 68216, 236764, 6571, 236764, 9834, 138, 107, 139, 236829, 41447, 63508, 28572, 85635, 138, 107, 139, 236776, 53091, 22323, 580, 103261, 37226, 236761, 108, 236800, 236761, 5213, 223360, 74758, 529, 506, 24495, 1933, 24604, 568, 236778, 236771, 236771, 236812, 62902, 138, 107, 139, 236829, 195642, 63508, 11543, 236764, 6571, 236764, 3246, 4194, 138, 107, 139, 236829, 41447, 63508, 23419, 99027, 824, 138, 107, 139, 3508, 2068, 30875, 607, 84683, 4137, 1003, 9834, 236761, 108, 236812, 236761, 5213, 236824, 1557, 8586, 568, 236778, 236771, 236771, 236770, 62902, 138, 107, 139, 236829, 195642, 63508, 39760, 236764, 19424, 236764, 28625, 138, 107, 139, 236829, 41447, 63508, 11181, 10297, 64011, 138, 107, 139, 236776, 22986, 236772, 27612, 22824, 529, 84683, 6549, 236761, 108, 236810, 236761, 5213, 818, 118210, 8754, 568, 236770, 236819, 236819, 236828, 62902, 138, 107, 139, 236829, 195642, 63508, 60176, 236764, 2196, 795, 236764, 4009, 138, 107, 139, 236829, 41447, 63508, 10229, 112546, 138, 107, 139, 111463, 4571, 61269, 2256, 532, 1265, 236772, 116641, 236761, 108, 38786, 611, 1133, 4889, 568, 236744, 236761, 236759, 1126, 8541, 236764, 62325, 236764, 104164, 236768, 1003, 1027, 3530, 6387, 531, 59638, 822, 1702, 3495, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 30386, 19276, 1131, 808, 818, 28707, 236829, 4889, 236761, 28344, 611, 33205, 3530, 7426, 4820, 236764, 16271, 236764, 653, 18583, 699, 506, 6387, 600, 2473, 17866, 1388, 1131, 154213, 59491, 236881, 1701, 2591, 236764, 506, 2604, 236786, 9503, 13736, 104164, 236764, 506, 7921, 3393, 62325, 236764, 653, 506, 31035, 57878, 528, 506, 4103, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 28707, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236819, 236764, 623, 62644, 1083, 623, 236798, 1925, 79780, 26017, 236764, 96828, 79780, 26017, 827, 623, 56036, 1083, 623, 45946, 55382, 236764, 10659, 827, 623, 39699, 236779, 31493, 1083, 11058, 103185, 3826, 5177, 3393, 568, 1437, 28707, 236789, 236751, 33939, 9496, 22730, 623, 9264, 236786, 9503, 13736, 104164, 568, 17005, 1534, 9043, 532, 48526, 22730, 623, 154193, 236789, 236751, 2764, 67207, 15674, 532, 44230, 23947, 827, 623, 125506, 1762, 78006, 568, 71758, 1759, 1902, 7728, 236761, 56253, 5177, 1902, 22730, 623, 56673, 990, 17047, 607, 236743, 236800, 236825, 236771, 236772, 28042, 5873, 13035, 827, 623, 68716, 236772, 83576, 522, 18583, 13855, 5177, 37226, 14255, 623, 86708, 1083, 11058, 211284, 7728, 236761, 16496, 827, 623, 36623, 665, 7728, 236761, 5464, 2256, 827, 623, 100604, 532, 101699, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 1217, 808, 818, 28707, 236829, 236858, 236751, 7426, 59491, 1451, 30463, 822, 154213, 1702, 236787, 108, 10354, 5213, 236770, 236761, 44094, 7086, 14232, 8739, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 3331, 560, 496, 28174, 236764, 156881, 3759, 529, 39622, 3826, 5177, 6927, 568, 34280, 236786, 34488, 236768, 3008, 506, 155506, 236858, 236751, 14453, 653, 1063, 8309, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 146007, 506, 33939, 9496, 529, 506, 28707, 236761, 6890, 496, 89820, 3826, 15769, 653, 14270, 15408, 531, 62611, 506, 623, 3970, 236775, 1763, 236761, 138, 108, 10354, 5213, 236778, 236761, 4855, 236786, 16520, 52261, 131828, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 173574, 1156, 68570, 3863, 33510, 568, 236744, 236761, 236759, 1126, 8326, 113262, 573, 2604, 236764, 5427, 52390, 573, 3730, 236768, 528, 16085, 528, 125560, 580, 37424, 653, 40682, 73312, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 669, 5313, 1534, 9043, 568, 1192, 236768, 532, 48526, 568, 9503, 769, 118189, 506, 78006, 607, 3980, 236764, 14658, 4463, 1534, 506, 28905, 236761, 138, 108, 10354, 5213, 236800, 236761, 103157, 622, 10943, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 70535, 5213, 1712, 236764, 41686, 3863, 1018, 568, 22037, 4266, 506, 125923, 623, 9238, 1902, 1373, 607, 5213, 169023, 1129, 236764, 39372, 14581, 1018, 568, 182244, 506, 5177, 28707, 769, 1701, 2591, 236764, 10887, 236772, 499, 1417, 9351, 12765, 33481, 607, 59448, 21963, 146096, 37424, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 16527, 903, 670, 12318, 27069, 236858, 236751, 16438, 2342, 5464, 2256, 236761, 138, 108, 10354, 5213, 236812, 236761, 23089, 7578, 26458, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 3331, 560, 10795, 236764, 116575, 9935, 1131, 506, 3863, 531, 62611, 506, 4103, 236858, 236751, 236743, 236800, 236825, 236771, 237366, 5873, 13035, 1913, 2970, 18583, 236761, 6890, 1239, 618, 25234, 67824, 580, 27319, 41706, 653, 9895, 27980, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 30476, 1264, 506, 16625, 1534, 179122, 532, 7296, 236764, 496, 7157, 7824, 528, 506, 4103, 236761, 138, 108, 10354, 5213, 236810, 236761, 48830, 236772, 143954, 522, 3171, 95228, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 8600, 7628, 236764, 11756, 15965, 568, 500, 1387, 511, 1424, 529, 59701, 236858, 236751, 14701, 8317, 236768, 1699, 13678, 236772, 8424, 3863, 19509, 653, 93164, 4889, 236761, 3143, 1451, 7298, 618, 25234, 157703, 653, 5232, 19509, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 80907, 236751, 11918, 532, 506, 37946, 529, 9496, 236761, 138, 108, 10354, 5213, 61192, 236787, 60217, 617, 5561, 192187, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 181992, 506, 4251, 155506, 12727, 2764, 607, 29110, 26713, 10173, 653, 3826, 20756, 568, 5282, 59701, 236858, 236751, 67207, 15674, 769, 4140, 11497, 66771, 573, 496, 623, 13333, 43313, 236775, 50232, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 1027, 529, 1239, 14485, 3342, 236881, 1701, 2591, 236764, 564, 1451, 3600, 3530, 3863, 4458, 236764, 41033, 8403, 236764, 653, 1217, 531, 27968, 21931, 4820, 568, 236744, 236761, 236759, 1126, 496, 2604, 236786, 9503, 13736, 236772, 24850, 40682, 8091, 769, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 808, 94507, 236779, 21000, 236779, 13308, 236829, 5904, 531, 8091, 3530, 1076, 1702, 16441, 653, 22718, 699, 808, 818, 28707, 236829, 600, 4926, 506, 5177, 3393, 44366, 236881, 564, 236858, 236753, 1133, 531, 1460, 8330, 4889, 568, 236744, 236761, 236759, 1126, 5417, 1456, 528, 1076, 9097, 236764, 15408, 8403, 236768, 531, 2480, 53785, 506, 23947, 528, 3863, 236761, 1701, 2591, 236764, 964, 993, 5663, 22718, 607, 60063, 3393, 9935, 236764, 653, 691, 625, 11716, 5177, 4518, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 6436, 600, 33205, 4977, 236772, 1437, 236772, 85151, 8330, 4889, 568, 236744, 236761, 236759, 1126, 1076, 1702, 142046, 236764, 4007, 5417, 236764, 653, 15408, 55455, 699, 808, 818, 28707, 236829, 769, 3551, 1873, 6436, 1186, 2847, 2870, 6387, 1262, 568, 236744, 236761, 236759, 1126, 22888, 236764, 7426, 59491, 236764, 532, 186765, 3117, 769, 236743, 108, 2542, 8330, 16441, 236764, 564, 236858, 236753, 5840, 16329, 236787, 107, 236772, 5213, 68734, 808, 818, 28707, 236829, 3719, 1610, 6249, 1018, 568, 236744, 236761, 236759, 1126, 165996, 818, 4585, 529, 669, 28707, 147698, 769, 107, 236772, 5213, 101255, 236772, 1437, 236772, 85151, 111555, 1018, 568, 236744, 236761, 236759, 1126, 165996, 818, 28707, 219413, 147698, 769, 107, 236772, 5213, 3845, 13084, 607, 506, 3719, 16406, 1018, 568, 165322, 127216, 236768, 653, 213086, 568, 30790, 30723, 769, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 5213, 28248, 28993, 1217, 531, 7535, 506, 5177, 3393, 44366, 1131, 154213, 1018, 1699, 506, 7426, 4820, 3016, 7659, 568, 236744, 236761, 236759, 1126, 75408, 8403, 573, 623, 37504, 3393, 236775, 9935, 236764, 41033, 4615, 573, 2604, 236786, 9503, 79339, 769, 3792, 786, 1281, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2844, 580, 496, 2401, 155506, 2203, 607, 496, 19548, 7824, 573, 496, 4430, 236761, 28344, 611, 1601, 786, 1586, 1070, 13154, 4596, 531, 19548, 236881, 15704, 1502, 684, 19460, 573, 13154, 528, 600, 18355, 834, 564, 740, 974, 1070, 7426, 18014, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 818, 28707, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236819, 236764, 623, 62644, 1083, 623, 236798, 1925, 79780, 26017, 236764, 96828, 79780, 26017, 827, 623, 86708, 1083, 11058, 132772, 827, 623, 46422, 827, 623, 6796, 795, 152254, 3714, 3250, 1083, 623, 902, 2240, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236771, 236764, 623, 62644, 1083, 623, 87950, 85635, 827, 623, 86708, 1083, 11058, 216054, 827, 623, 20624, 827, 623, 36809, 152254, 3714, 3250, 1083, 623, 223360, 74758, 529, 506, 24495, 1933, 24604, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236812, 236764, 623, 62644, 1083, 623, 93264, 99027, 824, 827, 623, 86708, 1083, 11058, 21867, 827, 623, 20624, 827, 623, 23214, 4194, 152254, 3714, 3250, 1083, 623, 236824, 1557, 8586, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236770, 236764, 623, 62644, 1083, 623, 40421, 10297, 64011, 827, 623, 86708, 1083, 11058, 122768, 12273, 827, 623, 216054, 827, 623, 194764, 152254, 3714, 3250, 1083, 623, 818, 118210, 8754, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236828, 236764, 623, 62644, 1083, 623, 38898, 112546, 827, 623, 86708, 1083, 11058, 132772, 827, 623, 6796, 795, 827, 623, 10494, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 19548, 236772, 68122, 13154, 600, 2473, 30463, 822, 155506, 2203, 236787, 108, 236770, 236761, 5213, 818, 28707, 568, 236770, 236819, 236819, 236819, 62902, 138, 107, 139, 236829, 195642, 63508, 60176, 236764, 10664, 236764, 2196, 795, 138, 107, 139, 236829, 194135, 63508, 144593, 833, 96828, 79780, 26017, 138, 107, 139, 20647, 2985, 33939, 9496, 532, 84683, 5313, 236761, 108, 236778, 236761, 5213, 902, 2240, 568, 236778, 236771, 236770, 236771, 62902, 138, 107, 139, 236829, 195642, 63508, 68216, 236764, 6571, 236764, 9834, 138, 107, 139, 236829, 41447, 63508, 28572, 85635, 138, 107, 139, 236776, 53091, 22323, 580, 103261, 37226, 236761, 108, 236800, 236761, 5213, 223360, 74758, 529, 506, 24495, 1933, 24604, 568, 236778, 236771, 236771, 236812, 62902, 138, 107, 139, 236829, 195642, 63508, 11543, 236764, 6571, 236764, 3246, 4194, 138, 107, 139, 236829, 41447, 63508, 23419, 99027, 824, 138, 107, 139, 3508, 2068, 30875, 607, 84683, 4137, 1003, 9834, 236761, 108, 236812, 236761, 5213, 236824, 1557, 8586, 568, 236778, 236771, 236771, 236770, 62902, 138, 107, 139, 236829, 195642, 63508, 39760, 236764, 19424, 236764, 28625, 138, 107, 139, 236829, 41447, 63508, 11181, 10297, 64011, 138, 107, 139, 236776, 22986, 236772, 27612, 22824, 529, 84683, 6549, 236761, 108, 236810, 236761, 5213, 818, 118210, 8754, 568, 236770, 236819, 236819, 236828, 62902, 138, 107, 139, 236829, 195642, 63508, 60176, 236764, 2196, 795, 236764, 4009, 138, 107, 139, 236829, 41447, 63508, 10229, 112546, 138, 107, 139, 111463, 4571, 61269, 2256, 532, 1265, 236772, 116641, 236761, 108, 38786, 611, 1133, 4889, 568, 236744, 236761, 236759, 1126, 8541, 236764, 62325, 236764, 104164, 236768, 1003, 1027, 3530, 6387, 531, 59638, 822, 1702, 3495, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 30386, 19276, 1131, 808, 818, 28707, 236829, 4889, 236761, 28344, 611, 33205, 3530, 7426, 4820, 236764, 16271, 236764, 653, 18583, 699, 506, 6387, 600, 2473, 17866, 1388, 1131, 154213, 59491, 236881, 1701, 2591, 236764, 506, 2604, 236786, 9503, 13736, 104164, 236764, 506, 7921, 3393, 62325, 236764, 653, 506, 31035, 57878, 528, 506, 4103, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 28707, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236819, 236764, 623, 62644, 1083, 623, 236798, 1925, 79780, 26017, 236764, 96828, 79780, 26017, 827, 623, 56036, 1083, 623, 45946, 55382, 236764, 10659, 827, 623, 39699, 236779, 31493, 1083, 11058, 103185, 3826, 5177, 3393, 568, 1437, 28707, 236789, 236751, 33939, 9496, 22730, 623, 9264, 236786, 9503, 13736, 104164, 568, 17005, 1534, 9043, 532, 48526, 22730, 623, 154193, 236789, 236751, 2764, 67207, 15674, 532, 44230, 23947, 827, 623, 125506, 1762, 78006, 568, 71758, 1759, 1902, 7728, 236761, 56253, 5177, 1902, 22730, 623, 56673, 990, 17047, 607, 236743, 236800, 236825, 236771, 236772, 28042, 5873, 13035, 827, 623, 68716, 236772, 83576, 522, 18583, 13855, 5177, 37226, 14255, 623, 86708, 1083, 11058, 211284, 7728, 236761, 16496, 827, 623, 36623, 665, 7728, 236761, 5464, 2256, 827, 623, 100604, 532, 101699, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 1217, 808, 818, 28707, 236829, 236858, 236751, 7426, 59491, 1451, 30463, 822, 154213, 1702, 236787, 108, 10354, 5213, 236770, 236761, 44094, 7086, 14232, 8739, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 3331, 560, 496, 28174, 236764, 156881, 3759, 529, 39622, 3826, 5177, 6927, 568, 34280, 236786, 34488, 236768, 3008, 506, 155506, 236858, 236751, 14453, 653, 1063, 8309, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 146007, 506, 33939, 9496, 529, 506, 28707, 236761, 6890, 496, 89820, 3826, 15769, 653, 14270, 15408, 531, 62611, 506, 623, 3970, 236775, 1763, 236761, 138, 108, 10354, 5213, 236778, 236761, 4855, 236786, 16520, 52261, 131828, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 173574, 1156, 68570, 3863, 33510, 568, 236744, 236761, 236759, 1126, 8326, 113262, 573, 2604, 236764, 5427, 52390, 573, 3730, 236768, 528, 16085, 528, 125560, 580, 37424, 653, 40682, 73312, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 669, 5313, 1534, 9043, 568, 1192, 236768, 532, 48526, 568, 9503, 769, 118189, 506, 78006, 607, 3980, 236764, 14658, 4463, 1534, 506, 28905, 236761, 138, 108, 10354, 5213, 236800, 236761, 103157, 622, 10943, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 70535, 5213, 1712, 236764, 41686, 3863, 1018, 568, 22037, 4266, 506, 125923, 623, 9238, 1902, 1373, 607, 5213, 169023, 1129, 236764, 39372, 14581, 1018, 568, 182244, 506, 5177, 28707, 769, 1701, 2591, 236764, 10887, 236772, 499, 1417, 9351, 12765, 33481, 607, 59448, 21963, 146096, 37424, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 16527, 903, 670, 12318, 27069, 236858, 236751, 16438, 2342, 5464, 2256, 236761, 138, 108, 10354, 5213, 236812, 236761, 23089, 7578, 26458, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 3331, 560, 10795, 236764, 116575, 9935, 1131, 506, 3863, 531, 62611, 506, 4103, 236858, 236751, 236743, 236800, 236825, 236771, 237366, 5873, 13035, 1913, 2970, 18583, 236761, 6890, 1239, 618, 25234, 67824, 580, 27319, 41706, 653, 9895, 27980, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 30476, 1264, 506, 16625, 1534, 179122, 532, 7296, 236764, 496, 7157, 7824, 528, 506, 4103, 236761, 138, 108, 10354, 5213, 236810, 236761, 48830, 236772, 143954, 522, 3171, 95228, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 8600, 7628, 236764, 11756, 15965, 568, 500, 1387, 511, 1424, 529, 59701, 236858, 236751, 14701, 8317, 236768, 1699, 13678, 236772, 8424, 3863, 19509, 653, 93164, 4889, 236761, 3143, 1451, 7298, 618, 25234, 157703, 653, 5232, 19509, 236761, 138, 107, 236772, 5213, 23135, 1929, 66515, 80907, 236751, 11918, 532, 506, 37946, 529, 9496, 236761, 138, 108, 10354, 5213, 61192, 236787, 60217, 617, 5561, 192187, 1018, 138, 107, 236772, 5213, 17399, 64679, 66515, 181992, 506, 4251, 155506, 12727, 2764, 607, 29110, 26713, 10173, 653, 3826, 20756, 568, 5282, 59701, 236858, 236751, 67207, 15674, 769, 4140, 11497, 66771, 573, 496, 623, 13333, 43313, 236775, 50232, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 1027, 529, 1239, 14485, 3342, 236881, 1701, 2591, 236764, 564, 1451, 3600, 3530, 3863, 4458, 236764, 41033, 8403, 236764, 653, 1217, 531, 27968, 21931, 4820, 568, 236744, 236761, 236759, 1126, 496, 2604, 236786, 9503, 13736, 236772, 24850, 40682, 8091, 769, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 808, 94507, 236779, 21000, 236779, 13308, 236829, 5904, 531, 8091, 3530, 1076, 1702, 16441, 653, 22718, 699, 808, 818, 28707, 236829, 600, 4926, 506, 5177, 3393, 44366, 236881, 564, 236858, 236753, 1133, 531, 1460, 8330, 4889, 568, 236744, 236761, 236759, 1126, 5417, 1456, 528, 1076, 9097, 236764, 15408, 8403, 236768, 531, 2480, 53785, 506, 23947, 528, 3863, 236761, 1701, 2591, 236764, 964, 993, 5663, 22718, 607, 60063, 3393, 9935, 236764, 653, 691, 625, 11716, 5177, 4518, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 6436, 600, 33205, 4977, 236772, 1437, 236772, 85151, 8330, 4889, 568, 236744, 236761, 236759, 1126, 1076, 1702, 142046, 236764, 4007, 5417, 236764, 653, 15408, 55455, 699, 808, 818, 28707, 236829, 769, 3551, 1873, 6436, 1186, 2847, 2870, 6387, 1262, 568, 236744, 236761, 236759, 1126, 22888, 236764, 7426, 59491, 236764, 532, 186765, 3117, 769, 236743, 108, 2542, 8330, 16441, 236764, 564, 236858, 236753, 5840, 16329, 236787, 107, 236772, 5213, 68734, 808, 818, 28707, 236829, 3719, 1610, 6249, 1018, 568, 236744, 236761, 236759, 1126, 165996, 818, 4585, 529, 669, 28707, 147698, 769, 107, 236772, 5213, 101255, 236772, 1437, 236772, 85151, 111555, 1018, 568, 236744, 236761, 236759, 1126, 165996, 818, 28707, 219413, 147698, 769, 107, 236772, 5213, 3845, 13084, 607, 506, 3719, 16406, 1018, 568, 165322, 127216, 236768, 653, 213086, 568, 30790, 30723, 769, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 5213, 28248, 28993, 1217, 531, 7535, 506, 5177, 3393, 44366, 1131, 154213, 1018, 1699, 506, 7426, 4820, 3016, 7659, 568, 236744, 236761, 236759, 1126, 75408, 8403, 573, 623, 37504, 3393, 236775, 9935, 236764, 41033, 4615, 573, 2604, 236786, 9503, 79339, 769, 3792, 786, 1281, 236888, 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, 4006, 1041, 3997, 6130, 532, 1765, 496, 40032, 2260, 21250, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 607, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236761, 28344, 611, 33205, 506, 9813, 1938, 1003, 672, 1698, 573, 786, 236881, 564, 236858, 236753, 1133, 531, 3050, 1061, 3004, 532, 21212, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 3250, 1083, 623, 109799, 8813, 236787, 562, 47746, 45750, 827, 623, 6386, 1083, 623, 136143, 153736, 236764, 45773, 630, 236761, 29005, 827, 623, 9707, 1083, 236743, 236812, 236810, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236776, 13611, 8214, 531, 4532, 10002, 3997, 236764, 14086, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 49308, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 11134, 1083, 236743, 236800, 236810, 236778, 236764, 623, 19859, 1083, 623, 27832, 827, 623, 27975, 1083, 11058, 17844, 833, 8813, 827, 623, 109799, 20467, 827, 623, 236788, 236772, 41586, 14255, 623, 13271, 236779, 43203, 1083, 623, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236828, 236819, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 1473, 108, 1018, 7396, 66515, 43499, 8813, 236787, 562, 47746, 45750, 138, 107, 1018, 14953, 66515, 35442, 153736, 236764, 45773, 630, 236761, 29005, 138, 107, 1018, 11280, 66515, 609, 236812, 236810, 236761, 236819, 236819, 568, 38556, 236768, 138, 107, 1018, 81606, 6809, 66515, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236771, 138, 107, 1018, 26685, 66515, 236743, 236800, 236810, 236778, 138, 107, 1018, 28040, 66515, 5422, 138, 107, 1018, 44576, 66515, 7449, 833, 8813, 236764, 43499, 20467, 236764, 645, 236772, 41586, 138, 108, 1018, 9770, 66515, 138, 107, 2094, 13611, 8214, 13526, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 1030, 5132, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 236761, 562, 870, 13271, 7312, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236768, 563, 2487, 573, 18201, 236761, 108, 1018, 19952, 31727, 66515, 138, 107, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 4398, 14470, 699, 236743, 236770, 236764, 236828, 236819, 236778, 10595, 138, 108, 38786, 611, 1133, 786, 531, 33205, 3530, 10595, 653, 8357, 2931, 10217, 529, 506, 2260, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 25890, 236888, 28344, 611, 1492, 33205, 506, 5602, 10595, 573, 506, 1638, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236881, 564, 236858, 236757, 6412, 7467, 528, 6611, 1144, 15021, 8357, 8859, 506, 10231, 44362, 532, 1624, 5254, 6950, 528, 506, 6492, 236761, 7129, 53552, 104846, 653, 95869, 1003, 1239, 10217, 1093, 1601, 786, 10741, 768, 625, 100146, 607, 1041, 4735, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236828, 236810, 236764, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236776, 236778, 236799, 236800, 236780, 236812, 236796, 236810, 236788, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 25612, 236779, 1005, 1083, 623, 818, 10231, 44362, 528, 672, 2260, 22094, 1217, 564, 4313, 1262, 3671, 236761, 669, 1624, 5254, 659, 20068, 9813, 532, 5467, 11955, 531, 1759, 236772, 12392, 25521, 236761, 562, 1921, 236772, 1399, 573, 37735, 41218, 623, 2364, 1083, 623, 2100, 63447, 617, 236778, 236771, 236778, 236800, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236832, 236811, 236828, 236823, 236819, 236814, 236771, 236777, 236770, 236863, 236778, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 25612, 236779, 1005, 1083, 623, 58632, 12606, 529, 1624, 5254, 236764, 3635, 1070, 44362, 6345, 496, 3103, 36389, 236761, 19238, 236764, 506, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 10498, 623, 2364, 1083, 623, 88634, 1489, 236819, 236819, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236800, 236855, 236812, 236798, 236810, 236792, 236825, 236797, 236832, 236806, 236828, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 25612, 236779, 1005, 1083, 623, 105367, 2707, 236761, 669, 1624, 5254, 964, 6121, 236764, 840, 506, 44362, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 236761, 114314, 66273, 5405, 531, 1500, 3008, 10498, 623, 2364, 1083, 623, 46297, 8925, 236770, 236771, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236778, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 5602, 10595, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 779, 19541, 580, 506, 10231, 44362, 532, 1624, 5254, 236787, 108, 1018, 33062, 47240, 66515, 136723, 236743, 236812, 236761, 236778, 236786, 236810, 568, 5140, 580, 236743, 236778, 236828, 236810, 10595, 236768, 138, 108, 10354, 9533, 137944, 528, 31727, 236787, 107, 236770, 236761, 5213, 70163, 3708, 573, 61286, 36376, 236751, 1018, 138, 107, 139, 236772, 5213, 167143, 167143, 240281, 66515, 165996, 818, 10231, 44362, 22094, 1217, 564, 4313, 1262, 3671, 236761, 181141, 11955, 531, 1759, 236772, 12392, 25521, 1781, 236829, 568, 2100, 63447, 617, 236778, 236771, 236778, 236800, 236764, 2481, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236772, 5213, 167143, 167143, 66515, 165996, 58632, 12606, 529, 1624, 5254, 1390, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 1781, 236829, 568, 88634, 1489, 236819, 236819, 236764, 5656, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 236778, 236761, 5213, 52795, 580, 15316, 14419, 1018, 138, 107, 139, 236772, 9352, 616, 22541, 24724, 506, 5213, 15104, 532, 36787, 1018, 529, 1624, 5254, 699, 3262, 30686, 236764, 28830, 910, 61155, 573, 6611, 14971, 6182, 236761, 138, 108, 236800, 236761, 5213, 64477, 705, 145854, 1018, 138, 107, 139, 236772, 5213, 167143, 240281, 66515, 165996, 25173, 236751, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 1390, 114314, 66273, 5405, 1781, 236829, 568, 46297, 8925, 236770, 236771, 236770, 236764, 4179, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 10354, 25252, 236787, 138, 107, 236772, 5213, 40308, 159517, 66515, 61286, 236764, 1759, 236772, 12392, 8698, 532, 44362, 600, 114542, 607, 9763, 14477, 236761, 138, 107, 236772, 5213, 24501, 567, 66515, 3353, 1660, 91798, 4654, 653, 56656, 5417, 573, 15021, 861, 531, 10002, 3997, 14485, 236761, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 1027, 3530, 6084, 529, 506, 10595, 653, 3213, 580, 496, 2931, 1722, 529, 9697, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 3540, 3671, 236761, 28344, 611, 1492, 5957, 506, 10595, 531, 8357, 1027, 42298, 529, 506, 5498, 7312, 568, 236744, 236761, 236759, 1126, 8968, 1003, 1061, 61155, 236764, 29972, 236764, 653, 1217, 625, 89289, 506, 44362, 236786, 4925, 5254, 20625, 564, 236858, 236753, 1133, 531, 20138, 768, 18201, 522, 506, 5498, 2473, 1601, 786, 2480, 36181, 506, 2260, 236858, 236751, 4313, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 818, 10595, 52236, 776, 711, 25010, 4928, 506, 5498, 7312, 653, 1061, 3004, 236761, 3153, 236764, 2721, 580, 506, 1698, 4889, 3847, 6517, 236764, 506, 5498, 7312, 563, 2487, 870, 8472, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 769, 5978, 7293, 529, 506, 10595, 5467, 3421, 506, 5498, 7312, 236789, 236751, 61155, 653, 29972, 236764, 506, 5213, 11480, 4398, 14470, 568, 236812, 236761, 236800, 236786, 236810, 62902, 532, 30450, 573, 506, 2260, 236858, 236751, 10231, 44362, 532, 1624, 5254, 3600, 600, 506, 5498, 1149, 2847, 496, 3188, 18201, 529, 506, 2260, 236858, 236751, 1550, 236761, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 8214, 611, 1343, 496, 7545, 531, 6077, 5608, 506, 5498, 7312, 236858, 236751, 36787, 236764, 1288, 618, 3182, 573, 236787, 138, 107, 236770, 236761, 5213, 81605, 49975, 44362, 1018, 568, 236744, 236761, 236759, 1126, 29981, 236764, 4681, 236768, 600, 8082, 7157, 14485, 236761, 138, 107, 236778, 236761, 5213, 1683, 2858, 30333, 699, 1624, 5254, 1018, 531, 20138, 910, 8744, 532, 67921, 236761, 138, 107, 236800, 236761, 5213, 1829, 23765, 529, 5712, 3117, 1018, 573, 36453, 568, 236744, 236761, 236759, 1126, 127481, 7728, 236761, 14529, 5192, 769, 138, 108, 38786, 611, 1133, 11221, 573, 30923, 506, 5498, 7312, 236764, 653, 2863, 564, 49573, 506, 2260, 236858, 236751, 6782, 25000, 607, 822, 4735, 7675, 2721, 580, 506, 1262, 21508, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 4006, 1041, 3997, 6130, 532, 1765, 496, 40032, 2260, 21250, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 607, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236761, 28344, 611, 33205, 506, 9813, 1938, 1003, 672, 1698, 573, 786, 236881, 564, 236858, 236753, 1133, 531, 3050, 1061, 3004, 532, 21212, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 3250, 1083, 623, 109799, 8813, 236787, 562, 47746, 45750, 827, 623, 6386, 1083, 623, 136143, 153736, 236764, 45773, 630, 236761, 29005, 827, 623, 9707, 1083, 236743, 236812, 236810, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236776, 13611, 8214, 531, 4532, 10002, 3997, 236764, 14086, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 49308, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 11134, 1083, 236743, 236800, 236810, 236778, 236764, 623, 19859, 1083, 623, 27832, 827, 623, 27975, 1083, 11058, 17844, 833, 8813, 827, 623, 109799, 20467, 827, 623, 236788, 236772, 41586, 14255, 623, 13271, 236779, 43203, 1083, 623, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236828, 236819, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 1473, 108, 1018, 7396, 66515, 43499, 8813, 236787, 562, 47746, 45750, 138, 107, 1018, 14953, 66515, 35442, 153736, 236764, 45773, 630, 236761, 29005, 138, 107, 1018, 11280, 66515, 609, 236812, 236810, 236761, 236819, 236819, 568, 38556, 236768, 138, 107, 1018, 81606, 6809, 66515, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236771, 138, 107, 1018, 26685, 66515, 236743, 236800, 236810, 236778, 138, 107, 1018, 28040, 66515, 5422, 138, 107, 1018, 44576, 66515, 7449, 833, 8813, 236764, 43499, 20467, 236764, 645, 236772, 41586, 138, 108, 1018, 9770, 66515, 138, 107, 2094, 13611, 8214, 13526, 14971, 6995, 236764, 5602, 4191, 3997, 236764, 6429, 7797, 18088, 236764, 532, 5177, 11918, 528, 10002, 236761, 1030, 5132, 1624, 5254, 699, 3262, 30686, 532, 10231, 44362, 573, 4893, 236772, 15992, 236761, 562, 870, 13271, 7312, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236768, 563, 2487, 573, 18201, 236761, 108, 1018, 19952, 31727, 66515, 138, 107, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 4398, 14470, 699, 236743, 236770, 236764, 236828, 236819, 236778, 10595, 138, 108, 38786, 611, 1133, 786, 531, 33205, 3530, 10595, 653, 8357, 2931, 10217, 529, 506, 2260, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9813, 25890, 236888, 28344, 611, 1492, 33205, 506, 5602, 10595, 573, 506, 1638, 1698, 5853, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 236881, 564, 236858, 236757, 6412, 7467, 528, 6611, 1144, 15021, 8357, 8859, 506, 10231, 44362, 532, 1624, 5254, 6950, 528, 506, 6492, 236761, 7129, 53552, 104846, 653, 95869, 1003, 1239, 10217, 1093, 1601, 786, 10741, 768, 625, 100146, 607, 1041, 4735, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236828, 236810, 236764, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 236794, 236770, 236776, 236778, 236799, 236800, 236780, 236812, 236796, 236810, 236788, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 25612, 236779, 1005, 1083, 623, 818, 10231, 44362, 528, 672, 2260, 22094, 1217, 564, 4313, 1262, 3671, 236761, 669, 1624, 5254, 659, 20068, 9813, 532, 5467, 11955, 531, 1759, 236772, 12392, 25521, 236761, 562, 1921, 236772, 1399, 573, 37735, 41218, 623, 2364, 1083, 623, 2100, 63447, 617, 236778, 236771, 236778, 236800, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236832, 236811, 236828, 236823, 236819, 236814, 236771, 236777, 236770, 236863, 236778, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 25612, 236779, 1005, 1083, 623, 58632, 12606, 529, 1624, 5254, 236764, 3635, 1070, 44362, 6345, 496, 3103, 36389, 236761, 19238, 236764, 506, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 10498, 623, 2364, 1083, 623, 88634, 1489, 236819, 236819, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 23179, 3714, 25612, 236779, 547, 1083, 623, 236794, 236800, 236855, 236812, 236798, 236810, 236792, 236825, 236797, 236832, 236806, 236828, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 25612, 236779, 1005, 1083, 623, 105367, 2707, 236761, 669, 1624, 5254, 964, 6121, 236764, 840, 506, 44362, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 236761, 114314, 66273, 5405, 531, 1500, 3008, 10498, 623, 2364, 1083, 623, 46297, 8925, 236770, 236771, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236778, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 5602, 10595, 573, 808, 109799, 8813, 236787, 562, 47746, 45750, 236829, 568, 7163, 5853, 236787, 603, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 779, 19541, 580, 506, 10231, 44362, 532, 1624, 5254, 236787, 108, 1018, 33062, 47240, 66515, 136723, 236743, 236812, 236761, 236778, 236786, 236810, 568, 5140, 580, 236743, 236778, 236828, 236810, 10595, 236768, 138, 108, 10354, 9533, 137944, 528, 31727, 236787, 107, 236770, 236761, 5213, 70163, 3708, 573, 61286, 36376, 236751, 1018, 138, 107, 139, 236772, 5213, 167143, 167143, 240281, 66515, 165996, 818, 10231, 44362, 22094, 1217, 564, 4313, 1262, 3671, 236761, 181141, 11955, 531, 1759, 236772, 12392, 25521, 1781, 236829, 568, 2100, 63447, 617, 236778, 236771, 236778, 236800, 236764, 2481, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236772, 5213, 167143, 167143, 66515, 165996, 58632, 12606, 529, 1624, 5254, 1390, 8698, 3847, 12272, 19317, 1131, 8688, 8991, 1781, 236829, 568, 88634, 1489, 236819, 236819, 236764, 5656, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 236778, 236761, 5213, 52795, 580, 15316, 14419, 1018, 138, 107, 139, 236772, 9352, 616, 22541, 24724, 506, 5213, 15104, 532, 36787, 1018, 529, 1624, 5254, 699, 3262, 30686, 236764, 28830, 910, 61155, 573, 6611, 14971, 6182, 236761, 138, 108, 236800, 236761, 5213, 64477, 705, 145854, 1018, 138, 107, 139, 236772, 5213, 167143, 240281, 66515, 165996, 25173, 236751, 19310, 236789, 236745, 9696, 8207, 3487, 573, 5026, 861, 531, 506, 2135, 1390, 114314, 66273, 5405, 1781, 236829, 568, 46297, 8925, 236770, 236771, 236770, 236764, 4179, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 10354, 25252, 236787, 138, 107, 236772, 5213, 40308, 159517, 66515, 61286, 236764, 1759, 236772, 12392, 8698, 532, 44362, 600, 114542, 607, 9763, 14477, 236761, 138, 107, 236772, 5213, 24501, 567, 66515, 3353, 1660, 91798, 4654, 653, 56656, 5417, 573, 15021, 861, 531, 10002, 3997, 14485, 236761, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 1027, 3530, 6084, 529, 506, 10595, 653, 3213, 580, 496, 2931, 1722, 529, 9697, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 3540, 3671, 236761, 28344, 611, 1492, 5957, 506, 10595, 531, 8357, 1027, 42298, 529, 506, 5498, 7312, 568, 236744, 236761, 236759, 1126, 8968, 1003, 1061, 61155, 236764, 29972, 236764, 653, 1217, 625, 89289, 506, 44362, 236786, 4925, 5254, 20625, 564, 236858, 236753, 1133, 531, 20138, 768, 18201, 522, 506, 5498, 2473, 1601, 786, 2480, 36181, 506, 2260, 236858, 236751, 4313, 1680, 21186, 236761, 106, 107, 105, 4368, 107, 818, 10595, 52236, 776, 711, 25010, 4928, 506, 5498, 7312, 653, 1061, 3004, 236761, 3153, 236764, 2721, 580, 506, 1698, 4889, 3847, 6517, 236764, 506, 5498, 7312, 563, 2487, 870, 8472, 5457, 2574, 1411, 14727, 519, 236761, 30053, 236761, 854, 236786, 26898, 236786, 236799, 236771, 236832, 236778, 236798, 236810, 236847, 236828, 236825, 236855, 769, 5978, 7293, 529, 506, 10595, 5467, 3421, 506, 5498, 7312, 236789, 236751, 61155, 653, 29972, 236764, 506, 5213, 11480, 4398, 14470, 568, 236812, 236761, 236800, 236786, 236810, 62902, 532, 30450, 573, 506, 2260, 236858, 236751, 10231, 44362, 532, 1624, 5254, 3600, 600, 506, 5498, 1149, 2847, 496, 3188, 18201, 529, 506, 2260, 236858, 236751, 1550, 236761, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 8214, 611, 1343, 496, 7545, 531, 6077, 5608, 506, 5498, 7312, 236858, 236751, 36787, 236764, 1288, 618, 3182, 573, 236787, 138, 107, 236770, 236761, 5213, 81605, 49975, 44362, 1018, 568, 236744, 236761, 236759, 1126, 29981, 236764, 4681, 236768, 600, 8082, 7157, 14485, 236761, 138, 107, 236778, 236761, 5213, 1683, 2858, 30333, 699, 1624, 5254, 1018, 531, 20138, 910, 8744, 532, 67921, 236761, 138, 107, 236800, 236761, 5213, 1829, 23765, 529, 5712, 3117, 1018, 573, 36453, 568, 236744, 236761, 236759, 1126, 127481, 7728, 236761, 14529, 5192, 769, 138, 108, 38786, 611, 1133, 11221, 573, 30923, 506, 5498, 7312, 236764, 653, 2863, 564, 49573, 506, 2260, 236858, 236751, 6782, 25000, 607, 822, 4735, 7675, 2721, 580, 506, 1262, 21508, 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, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 4940, 62267, 1699, 506, 3847, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 4940, 62267, 1699, 506, 3847, 5904, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 496, 3530, 26460, 10132, 600, 564, 236789, 560, 1010, 6590, 531, 1676, 236761, 1030, 236789, 236751, 506, 886, 1298, 66780, 531, 496, 31252, 1921, 8974, 496, 3996, 29344, 2378, 684, 496, 65318, 137945, 236764, 532, 506, 3260, 563, 496, 3875, 1015, 992, 18640, 506, 2260, 236761, 564, 5630, 625, 236789, 236751, 496, 9760, 29344, 26460, 600, 2810, 18391, 236761, 3574, 611, 1281, 837, 886, 564, 236789, 236757, 6931, 1003, 236881, 564, 236789, 236753, 1133, 531, 974, 506, 4889, 580, 672, 2260, 531, 1386, 2889, 625, 236789, 236751, 506, 1447, 886, 1680, 21186, 236761, 568, 7925, 1374, 1161, 1586, 236779, 3070, 5904, 607, 3822, 623, 818, 4844, 522, 9064, 236775, 532, 3260, 623, 139067, 630, 103949, 236775, 1308, 61872, 57314, 699, 506, 2864, 236768, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 4844, 522, 9064, 827, 623, 6386, 1083, 623, 139067, 630, 103949, 827, 623, 119789, 236779, 3704, 1083, 236743, 236770, 236819, 236832, 236828, 236764, 623, 206455, 1083, 11058, 4199, 33172, 52647, 827, 623, 67784, 54970, 236772, 129820, 7167, 13835, 14255, 623, 7777, 1083, 623, 44955, 12839, 66780, 1921, 8974, 496, 3996, 29344, 531, 3539, 910, 45202, 528, 672, 8054, 236772, 26421, 26460, 236761, 669, 65318, 137945, 26892, 4844, 522, 6895, 496, 136939, 795, 14798, 914, 66780, 531, 53144, 914, 111849, 532, 506, 3738, 529, 914, 31252, 236764, 607, 506, 13961, 11985, 914, 12529, 9350, 10498, 623, 229278, 1083, 1847, 236764, 623, 56036, 1083, 623, 229186, 236786, 111902, 827, 623, 68477, 1083, 623, 236796, 1654, 15299, 236789, 236751, 20980, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 2260, 611, 236789, 500, 3182, 573, 236787, 108, 1018, 7396, 53121, 808, 818, 4844, 522, 9064, 236829, 138, 107, 1018, 14953, 53121, 47994, 630, 103949, 568, 23681, 18640, 506, 2260, 236768, 138, 107, 1018, 81606, 8799, 53121, 236743, 236770, 236819, 236832, 236828, 138, 107, 1018, 116563, 53121, 1799, 33172, 52647, 236764, 14850, 54970, 236772, 129820, 7167, 13835, 138, 107, 1018, 9770, 53121, 177456, 66780, 1921, 8974, 496, 3996, 29344, 531, 3539, 910, 45202, 528, 672, 8054, 236772, 26421, 26460, 236761, 669, 65318, 137945, 26892, 4844, 522, 6895, 496, 136939, 795, 14798, 914, 66780, 531, 53144, 914, 111849, 532, 506, 3738, 529, 914, 31252, 236764, 607, 506, 13961, 11985, 914, 12529, 9350, 236761, 138, 107, 1018, 82272, 53121, 72289, 236786, 111902, 138, 107, 1018, 62365, 53121, 187596, 15299, 236789, 236751, 20980, 138, 108, 2094, 12853, 822, 6492, 529, 496, 9760, 29344, 26460, 607, 614, 65318, 137945, 236789, 236751, 8319, 532, 614, 3260, 236772, 81247, 23377, 236761, 21284, 611, 1133, 4767, 4889, 653, 1601, 21186, 625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 496, 3530, 26460, 10132, 600, 564, 236789, 560, 1010, 6590, 531, 1676, 236761, 1030, 236789, 236751, 506, 886, 1298, 66780, 531, 496, 31252, 1921, 8974, 496, 3996, 29344, 2378, 684, 496, 65318, 137945, 236764, 532, 506, 3260, 563, 496, 3875, 1015, 992, 18640, 506, 2260, 236761, 564, 5630, 625, 236789, 236751, 496, 9760, 29344, 26460, 600, 2810, 18391, 236761, 3574, 611, 1281, 837, 886, 564, 236789, 236757, 6931, 1003, 236881, 564, 236789, 236753, 1133, 531, 974, 506, 4889, 580, 672, 2260, 531, 1386, 2889, 625, 236789, 236751, 506, 1447, 886, 1680, 21186, 236761, 568, 7925, 1374, 1161, 1586, 236779, 3070, 5904, 607, 3822, 623, 818, 4844, 522, 9064, 236775, 532, 3260, 623, 139067, 630, 103949, 236775, 1308, 61872, 57314, 699, 506, 2864, 236768, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 4844, 522, 9064, 827, 623, 6386, 1083, 623, 139067, 630, 103949, 827, 623, 119789, 236779, 3704, 1083, 236743, 236770, 236819, 236832, 236828, 236764, 623, 206455, 1083, 11058, 4199, 33172, 52647, 827, 623, 67784, 54970, 236772, 129820, 7167, 13835, 14255, 623, 7777, 1083, 623, 44955, 12839, 66780, 1921, 8974, 496, 3996, 29344, 531, 3539, 910, 45202, 528, 672, 8054, 236772, 26421, 26460, 236761, 669, 65318, 137945, 26892, 4844, 522, 6895, 496, 136939, 795, 14798, 914, 66780, 531, 53144, 914, 111849, 532, 506, 3738, 529, 914, 31252, 236764, 607, 506, 13961, 11985, 914, 12529, 9350, 10498, 623, 229278, 1083, 1847, 236764, 623, 56036, 1083, 623, 229186, 236786, 111902, 827, 623, 68477, 1083, 623, 236796, 1654, 15299, 236789, 236751, 20980, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 2260, 611, 236789, 500, 3182, 573, 236787, 108, 1018, 7396, 53121, 808, 818, 4844, 522, 9064, 236829, 138, 107, 1018, 14953, 53121, 47994, 630, 103949, 568, 23681, 18640, 506, 2260, 236768, 138, 107, 1018, 81606, 8799, 53121, 236743, 236770, 236819, 236832, 236828, 138, 107, 1018, 116563, 53121, 1799, 33172, 52647, 236764, 14850, 54970, 236772, 129820, 7167, 13835, 138, 107, 1018, 9770, 53121, 177456, 66780, 1921, 8974, 496, 3996, 29344, 531, 3539, 910, 45202, 528, 672, 8054, 236772, 26421, 26460, 236761, 669, 65318, 137945, 26892, 4844, 522, 6895, 496, 136939, 795, 14798, 914, 66780, 531, 53144, 914, 111849, 532, 506, 3738, 529, 914, 31252, 236764, 607, 506, 13961, 11985, 914, 12529, 9350, 236761, 138, 107, 1018, 82272, 53121, 72289, 236786, 111902, 138, 107, 1018, 62365, 53121, 187596, 15299, 236789, 236751, 20980, 138, 108, 2094, 12853, 822, 6492, 529, 496, 9760, 29344, 26460, 607, 614, 65318, 137945, 236789, 236751, 8319, 532, 614, 3260, 236772, 81247, 23377, 236761, 21284, 611, 1133, 4767, 4889, 653, 1601, 21186, 625, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 25260, 5431, 2203, 1298, 692, 1202, 496, 2561, 607, 1494, 50219, 6332, 236764, 30119, 8047, 236764, 532, 11775, 28530, 236761, 3199, 611, 1601, 786, 1586, 506, 1791, 5086, 1699, 506, 5417, 7948, 236881, 9187, 684, 21558, 5417, 607, 50219, 6332, 2787, 236743, 236810, 236771, 236771, 90230, 236764, 1299, 2426, 837, 529, 1724, 735, 30119, 8047, 24074, 1024, 236743, 236812, 236761, 236810, 236786, 236810, 236764, 532, 6861, 4071, 236772, 30449, 1724, 607, 11775, 28530, 2787, 236743, 236812, 236771, 649, 236786, 236757, 236855, 236761, 1637, 993, 659, 5065, 3835, 236764, 56856, 5417, 607, 506, 14723, 2157, 3546, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 10236, 236779, 547, 1083, 623, 5153, 236772, 236770, 236778, 236800, 236812, 827, 623, 155748, 755, 236779, 38651, 1083, 623, 236810, 236810, 236771, 90230, 827, 623, 4685, 24534, 236779, 82033, 1083, 623, 236812, 236761, 236832, 236786, 236810, 827, 623, 49726, 236779, 124131, 1083, 623, 236812, 236778, 649, 236786, 236757, 236855, 827, 623, 13769, 236779, 2662, 1083, 236743, 236800, 236761, 236778, 1263, 3714, 10236, 236779, 547, 1083, 623, 5153, 236772, 236810, 236825, 236832, 236828, 827, 623, 155748, 755, 236779, 38651, 1083, 623, 236825, 236778, 236771, 90230, 827, 623, 4685, 24534, 236779, 82033, 1083, 623, 236812, 236761, 236800, 236786, 236810, 827, 623, 49726, 236779, 124131, 1083, 623, 236800, 236828, 649, 236786, 236757, 236855, 827, 623, 13769, 236779, 2662, 1083, 236743, 236812, 236761, 236770, 1263, 3714, 10236, 236779, 547, 1083, 623, 5153, 236772, 236819, 236771, 236770, 236778, 827, 623, 155748, 755, 236779, 38651, 1083, 623, 236810, 236828, 236771, 90230, 827, 623, 4685, 24534, 236779, 82033, 1083, 623, 236812, 236761, 236819, 236786, 236810, 827, 623, 49726, 236779, 124131, 1083, 623, 236812, 236810, 649, 236786, 236757, 236855, 827, 623, 13769, 236779, 2662, 1083, 236743, 236778, 236761, 236828, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 103411, 236779, 28881, 1083, 3714, 155748, 755, 236779, 38651, 236779, 1387, 1083, 623, 236810, 236771, 236771, 90230, 127096, 106, 107, 105, 4368, 107, 6259, 14253, 506, 145783, 18774, 236787, 108, 236770, 236761, 5213, 205011, 755, 61807, 1890, 236810, 236771, 236771, 90230, 66515, 236743, 236800, 5417, 8385, 138, 107, 236778, 236761, 5213, 9521, 24534, 55732, 1890, 236812, 236761, 236810, 236786, 236810, 66515, 236743, 236778, 5417, 4595, 568, 5153, 236772, 236770, 236778, 236800, 236812, 532, 13945, 236772, 236819, 236771, 236770, 236778, 236768, 138, 107, 236800, 236761, 5213, 116811, 234335, 1890, 236812, 236771, 649, 236786, 236757, 236855, 66515, 10508, 5417, 2874, 672, 14272, 138, 108, 1018, 17667, 111506, 66515, 138, 107, 1018, 5153, 236772, 236819, 236771, 236770, 236778, 1018, 568, 13769, 3546, 236787, 236743, 236778, 236761, 236828, 236768, 563, 12567, 2779, 531, 236787, 138, 107, 236772, 151238, 755, 6332, 236787, 236743, 236810, 236828, 236771, 90230, 138, 107, 236772, 148338, 8047, 236787, 236743, 236812, 236761, 236819, 236786, 236810, 138, 107, 236772, 54102, 28530, 236787, 236743, 236812, 236810, 649, 236786, 236757, 236855, 138, 108, 2094, 2561, 156144, 13945, 236772, 236770, 236778, 236800, 236812, 568, 13769, 3546, 236787, 236743, 236800, 236761, 236778, 236768, 580, 784, 13138, 1651, 1646, 919, 2157, 236772, 25931, 236761, 21284, 611, 1133, 4767, 4889, 1003, 672, 2561, 236789, 236751, 9637, 653, 73476, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 25260, 5431, 2203, 1298, 692, 1202, 496, 2561, 607, 1494, 50219, 6332, 236764, 30119, 8047, 236764, 532, 11775, 28530, 236761, 3199, 611, 1601, 786, 1586, 506, 1791, 5086, 1699, 506, 5417, 7948, 236881, 9187, 684, 21558, 5417, 607, 50219, 6332, 2787, 236743, 236810, 236771, 236771, 90230, 236764, 1299, 2426, 837, 529, 1724, 735, 30119, 8047, 24074, 1024, 236743, 236812, 236761, 236810, 236786, 236810, 236764, 532, 6861, 4071, 236772, 30449, 1724, 607, 11775, 28530, 2787, 236743, 236812, 236771, 649, 236786, 236757, 236855, 236761, 1637, 993, 659, 5065, 3835, 236764, 56856, 5417, 607, 506, 14723, 2157, 3546, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 10236, 236779, 547, 1083, 623, 5153, 236772, 236770, 236778, 236800, 236812, 827, 623, 155748, 755, 236779, 38651, 1083, 623, 236810, 236810, 236771, 90230, 827, 623, 4685, 24534, 236779, 82033, 1083, 623, 236812, 236761, 236832, 236786, 236810, 827, 623, 49726, 236779, 124131, 1083, 623, 236812, 236778, 649, 236786, 236757, 236855, 827, 623, 13769, 236779, 2662, 1083, 236743, 236800, 236761, 236778, 1263, 3714, 10236, 236779, 547, 1083, 623, 5153, 236772, 236810, 236825, 236832, 236828, 827, 623, 155748, 755, 236779, 38651, 1083, 623, 236825, 236778, 236771, 90230, 827, 623, 4685, 24534, 236779, 82033, 1083, 623, 236812, 236761, 236800, 236786, 236810, 827, 623, 49726, 236779, 124131, 1083, 623, 236800, 236828, 649, 236786, 236757, 236855, 827, 623, 13769, 236779, 2662, 1083, 236743, 236812, 236761, 236770, 1263, 3714, 10236, 236779, 547, 1083, 623, 5153, 236772, 236819, 236771, 236770, 236778, 827, 623, 155748, 755, 236779, 38651, 1083, 623, 236810, 236828, 236771, 90230, 827, 623, 4685, 24534, 236779, 82033, 1083, 623, 236812, 236761, 236819, 236786, 236810, 827, 623, 49726, 236779, 124131, 1083, 623, 236812, 236810, 649, 236786, 236757, 236855, 827, 623, 13769, 236779, 2662, 1083, 236743, 236778, 236761, 236828, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 103411, 236779, 28881, 1083, 3714, 155748, 755, 236779, 38651, 236779, 1387, 1083, 623, 236810, 236771, 236771, 90230, 127096, 106, 107, 105, 4368, 107, 6259, 14253, 506, 145783, 18774, 236787, 108, 236770, 236761, 5213, 205011, 755, 61807, 1890, 236810, 236771, 236771, 90230, 66515, 236743, 236800, 5417, 8385, 138, 107, 236778, 236761, 5213, 9521, 24534, 55732, 1890, 236812, 236761, 236810, 236786, 236810, 66515, 236743, 236778, 5417, 4595, 568, 5153, 236772, 236770, 236778, 236800, 236812, 532, 13945, 236772, 236819, 236771, 236770, 236778, 236768, 138, 107, 236800, 236761, 5213, 116811, 234335, 1890, 236812, 236771, 649, 236786, 236757, 236855, 66515, 10508, 5417, 2874, 672, 14272, 138, 108, 1018, 17667, 111506, 66515, 138, 107, 1018, 5153, 236772, 236819, 236771, 236770, 236778, 1018, 568, 13769, 3546, 236787, 236743, 236778, 236761, 236828, 236768, 563, 12567, 2779, 531, 236787, 138, 107, 236772, 151238, 755, 6332, 236787, 236743, 236810, 236828, 236771, 90230, 138, 107, 236772, 148338, 8047, 236787, 236743, 236812, 236761, 236819, 236786, 236810, 138, 107, 236772, 54102, 28530, 236787, 236743, 236812, 236810, 649, 236786, 236757, 236855, 138, 108, 2094, 2561, 156144, 13945, 236772, 236770, 236778, 236800, 236812, 568, 13769, 3546, 236787, 236743, 236800, 236761, 236778, 236768, 580, 784, 13138, 1651, 1646, 919, 2157, 236772, 25931, 236761, 21284, 611, 1133, 4767, 4889, 1003, 672, 2561, 236789, 236751, 9637, 653, 73476, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 6524, 4668, 580, 506, 26217, 41203, 531, 1601, 496, 12339, 81536, 236761, 28344, 611, 33205, 784, 4803, 8511, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 86563, 1083, 78493, 3250, 1083, 623, 114476, 41203, 9753, 92432, 55607, 1942, 531, 13147, 3430, 43052, 827, 623, 3955, 1083, 623, 818, 26217, 41203, 735, 15273, 4937, 1255, 30159, 155417, 7502, 8943, 528, 496, 5754, 607, 506, 22403, 107875, 236764, 42351, 531, 13878, 910, 1786, 11356, 7531, 529, 506, 47598, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 178536, 23532, 23179, 3714, 3250, 1083, 623, 236798, 878, 236789, 144002, 81378, 1705, 1472, 528, 9853, 15895, 73322, 827, 623, 3955, 1083, 623, 7280, 236772, 979, 4351, 44637, 21027, 9160, 573, 236743, 236778, 236828, 236819, 15844, 532, 236743, 236800, 63877, 528, 496, 236743, 236800, 236812, 236772, 236778, 236771, 3345, 1024, 506, 22080, 72487, 236764, 36996, 914, 4168, 22592, 1502, 607, 496, 38460, 14470, 2787, 236743, 236770, 236770, 236771, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236800, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 23179, 3714, 3250, 1083, 623, 52111, 12219, 5827, 32477, 223909, 236787, 1799, 160623, 532, 18671, 37270, 42074, 827, 623, 3955, 1083, 623, 818, 41203, 6261, 59817, 609, 236810, 236792, 528, 29353, 42392, 236764, 2440, 11764, 529, 496, 1883, 236772, 1340, 236772, 1437, 236772, 661, 5662, 3761, 532, 9806, 14484, 236772, 12383, 12308, 573, 7807, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 114476, 9617, 7161, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 12496, 580, 506, 26217, 41203, 236787, 108, 236770, 236761, 5213, 200833, 55607, 1942, 85903, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 114476, 41203, 9753, 92432, 55607, 1942, 531, 13147, 3430, 43052, 236775, 138, 107, 139, 236829, 9473, 149681, 669, 41203, 38633, 573, 4937, 1255, 30159, 27331, 7502, 8943, 699, 506, 107875, 531, 13878, 910, 1786, 11356, 236761, 138, 107, 139, 236829, 5825, 149681, 55511, 23532, 1109, 808, 3682, 149681, 6243, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 236778, 236761, 5213, 236794, 87325, 81378, 236789, 236751, 8383, 725, 19791, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 236798, 878, 236789, 144002, 81378, 1705, 1472, 528, 9853, 15895, 73322, 236775, 138, 107, 139, 236829, 9473, 149681, 5315, 236772, 979, 4351, 44637, 21027, 28120, 236743, 236778, 236828, 236819, 15844, 532, 236743, 236800, 198674, 528, 496, 236743, 236800, 236812, 236772, 236778, 236771, 3345, 1024, 506, 72487, 236764, 607, 496, 38460, 14470, 2787, 236743, 236770, 236770, 236771, 528, 1806, 6850, 9857, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 6243, 236743, 236800, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 236800, 236761, 5213, 52111, 12219, 5827, 32477, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 52111, 12219, 5827, 32477, 223909, 236787, 1799, 160623, 532, 18671, 37270, 42074, 236775, 138, 107, 139, 236829, 9473, 149681, 609, 236810, 236792, 528, 29353, 42392, 3204, 496, 861, 5662, 3761, 532, 9806, 14484, 236772, 12383, 573, 7807, 236761, 138, 107, 139, 236829, 5825, 149681, 26217, 9617, 7161, 1109, 808, 3682, 149681, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 1027, 529, 1239, 8511, 653, 2426, 573, 12496, 699, 496, 3530, 4668, 3738, 236881, 106, 107, 105, 2364, 107, 2021, 2480, 3050, 44637, 21027, 236789, 236751, 3736, 236764, 1451, 611, 33205, 4767, 4889, 699, 506, 23532, 10981, 8859, 914, 4803, 4972, 532, 1217, 668, 59556, 872, 2342, 1032, 53472, 132524, 528, 506, 15284, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 132347, 21027, 1705, 1472, 528, 3946, 19458, 113542, 236764, 58865, 38882, 29722, 827, 623, 6011, 1083, 623, 236794, 87325, 81378, 44637, 21027, 28120, 573, 236743, 236778, 236812, 236800, 15844, 532, 236743, 236778, 198674, 528, 26217, 236789, 236751, 236743, 236778, 236812, 236772, 236770, 236832, 3345, 1024, 29236, 236764, 855, 68219, 12339, 208937, 565, 236761, 236863, 236761, 842, 10114, 532, 118104, 11853, 528, 2307, 19455, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236810, 236774, 236770, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 23179, 3714, 3250, 1083, 623, 236798, 878, 236789, 81378, 41157, 236787, 21027, 236789, 236751, 49087, 22705, 132928, 699, 72055, 827, 623, 6011, 1083, 623, 72358, 72055, 24724, 21027, 236789, 236751, 756, 138522, 236772, 2788, 19067, 6219, 236789, 1913, 7600, 10154, 236764, 28830, 914, 9806, 4893, 236772, 15992, 5483, 531, 3649, 4122, 3545, 34328, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 23179, 3714, 3250, 1083, 623, 236778, 236771, 236778, 236810, 144002, 81378, 8708, 236787, 21027, 121206, 528, 185129, 61378, 847, 827, 623, 6011, 1083, 623, 5141, 23532, 10981, 26545, 236764, 21027, 26867, 1171, 3571, 236743, 236778, 236771, 236778, 236810, 81378, 1012, 528, 236743, 236812, 594, 7737, 38460, 14470, 568, 236770, 236771, 236828, 236761, 236800, 236768, 532, 815, 16952, 236743, 236828, 529, 236743, 236770, 236778, 4168, 236772, 3843, 16972, 528, 2604, 10202, 25521, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236812, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 4767, 4889, 699, 23532, 10981, 1003, 44637, 21027, 236789, 236751, 3736, 532, 53472, 33772, 236787, 108, 236770, 236761, 5213, 3695, 19458, 113542, 23737, 831, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 132347, 21027, 1705, 1472, 528, 3946, 19458, 113542, 236764, 58865, 38882, 29722, 236775, 138, 107, 139, 236829, 9473, 149681, 21027, 149862, 12339, 208937, 565, 236761, 236863, 236761, 842, 10114, 568, 23834, 743, 236768, 532, 118104, 11853, 568, 6075, 2995, 236768, 528, 26217, 236789, 236751, 236743, 236778, 236812, 236772, 236770, 236832, 3345, 1024, 29236, 236764, 27553, 236743, 236778, 236812, 236800, 15844, 532, 236743, 236778, 198674, 1651, 25409, 236743, 236828, 236778, 236908, 529, 914, 16349, 528, 6749, 21090, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 5729, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 91334, 132928, 573, 8236, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 236798, 878, 236789, 81378, 41157, 236787, 21027, 236789, 236751, 49087, 22705, 132928, 699, 72055, 236775, 138, 107, 139, 236829, 9473, 149681, 27444, 72055, 24724, 21027, 236789, 236751, 623, 138522, 236772, 2788, 19067, 6219, 236775, 532, 8601, 3629, 15955, 528, 4893, 236772, 15992, 2338, 4122, 3545, 236764, 68570, 607, 3649, 34328, 528, 6013, 2890, 1283, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 5729, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236800, 236761, 5213, 1829, 13194, 19791, 116589, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 236778, 236771, 236778, 236810, 144002, 81378, 8708, 236787, 21027, 121206, 528, 185129, 61378, 847, 236775, 138, 107, 139, 236829, 9473, 149681, 21027, 26867, 5213, 236770, 540, 3571, 236743, 236778, 236771, 236778, 236810, 53472, 1366, 35343, 1018, 528, 236743, 236812, 594, 236772, 33255, 38460, 14470, 568, 236770, 236771, 236828, 236761, 236800, 236768, 532, 815, 16952, 5213, 236828, 529, 236743, 236770, 236778, 4168, 236772, 3843, 16972, 1018, 528, 2604, 236772, 13873, 25521, 236764, 58442, 189376, 1208, 4204, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 5729, 236743, 236778, 236812, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 10354, 9533, 12774, 50914, 236787, 138, 107, 236772, 21027, 236858, 236751, 5596, 531, 2121, 528, 1494, 236772, 519, 3445, 12983, 568, 236744, 236761, 236759, 1126, 2604, 10202, 236764, 236743, 236812, 594, 7737, 236768, 7093, 1515, 6576, 699, 30055, 1133, 842, 10114, 532, 11853, 236761, 138, 107, 236772, 4923, 24519, 532, 4893, 236772, 15992, 735, 15575, 153492, 699, 26896, 1366, 35343, 1133, 72055, 236761, 138, 107, 236772, 35438, 3600, 668, 236858, 236751, 506, 1346, 9958, 53472, 528, 35322, 6749, 51469, 236761, 138, 108, 38786, 611, 1133, 786, 531, 10769, 1239, 20673, 531, 3530, 34580, 653, 18840, 1217, 672, 18506, 26217, 236858, 236751, 48524, 32672, 236881, 106, 107, 105, 2364, 107, 26479, 44637, 21027, 236789, 236751, 86736, 19455, 236764, 1451, 611, 2426, 55511, 23532, 573, 4803, 3671, 580, 1217, 914, 3736, 18506, 26217, 236789, 236751, 48524, 28541, 236764, 6412, 19541, 580, 910, 16038, 184820, 2342, 506, 83482, 532, 56670, 236881, 564, 236858, 236753, 1133, 531, 4071, 236772, 30449, 672, 607, 506, 41203, 236858, 1873, 90915, 532, 9938, 7248, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 132347, 21027, 236789, 236751, 48120, 81378, 116589, 38039, 41203, 236789, 9274, 2865, 41900, 827, 623, 3955, 1083, 623, 178536, 23532, 37078, 8357, 44637, 21027, 236789, 236751, 15284, 236772, 26016, 236743, 236832, 236761, 236778, 15844, 810, 5686, 532, 236743, 236819, 236832, 236761, 236812, 12613, 1366, 12357, 618, 2307, 14397, 573, 26217, 236789, 236751, 236743, 236819, 236772, 236778, 3423, 236761, 4923, 3736, 2342, 7086, 8036, 568, 236800, 198674, 236764, 236743, 236771, 23442, 236751, 236768, 532, 10561, 568, 236778, 236828, 236819, 15844, 236764, 236743, 236819, 236812, 236761, 236770, 14470, 236768, 5467, 88435, 607, 506, 41203, 236789, 236743, 236812, 236761, 236810, 236772, 5567, 2080, 528, 506, 81915, 4695, 236761, 78106, 7248, 1407, 21027, 236789, 236751, 39601, 568, 1904, 15315, 4972, 236768, 92104, 26217, 236789, 236751, 48524, 19360, 2342, 1800, 11247, 43219, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 24132, 236749, 23179, 3714, 3250, 1083, 623, 236798, 878, 236789, 9274, 3070, 36630, 236787, 21027, 236789, 236751, 27938, 580, 6384, 28253, 11303, 827, 623, 3955, 1083, 623, 49789, 20673, 16913, 44637, 21027, 236789, 236751, 236743, 236828, 236800, 236908, 15323, 3136, 528, 7445, 7606, 4972, 568, 21314, 236761, 83482, 236789, 236743, 236812, 236770, 236908, 11356, 236768, 532, 236743, 236770, 236778, 236828, 236761, 236832, 38460, 14470, 2342, 10561, 236789, 236751, 10929, 236761, 55511, 236789, 236751, 24458, 7338, 13291, 5021, 26217, 496, 236743, 236825, 236828, 236908, 6584, 531, 160006, 506, 81915, 4695, 2721, 580, 1239, 36679, 236772, 15396, 15067, 236764, 607, 9938, 12496, 49378, 21027, 236789, 236751, 58024, 573, 34222, 22924, 12219, 90387, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236771, 236812, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 24132, 236749, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 699, 55511, 23532, 580, 44637, 21027, 236858, 236751, 4100, 532, 26217, 236858, 236751, 48524, 32672, 2342, 506, 83482, 532, 56670, 236787, 108, 7243, 108, 10354, 5213, 3503, 76374, 699, 55511, 23532, 1018, 138, 107, 236770, 236761, 5213, 173067, 81378, 116589, 65525, 9274, 2865, 164687, 1018, 138, 107, 139, 236772, 5213, 30738, 53121, 44637, 21027, 9025, 506, 15284, 607, 5213, 236832, 236761, 236778, 15844, 810, 5686, 1018, 532, 496, 5213, 236819, 236832, 236761, 236812, 12613, 1366, 12357, 125546, 5467, 221937, 607, 26217, 236858, 236751, 5213, 236819, 236772, 236778, 3423, 1018, 532, 5213, 236812, 236761, 236810, 236772, 5567, 2080, 528, 506, 81915, 4695, 84750, 138, 107, 139, 236772, 5213, 54763, 164754, 824, 21942, 53121, 138, 107, 141, 236772, 5213, 91561, 506, 83482, 53121, 236743, 236800, 198674, 236764, 236743, 236771, 23442, 236751, 236764, 532, 496, 236743, 236770, 236771, 236812, 236761, 236770, 38460, 14470, 528, 910, 3527, 5395, 236761, 138, 107, 141, 236772, 5213, 91561, 506, 56670, 53121, 236743, 236778, 236828, 236819, 15844, 532, 496, 236743, 236819, 236812, 236761, 236770, 14470, 528, 506, 41203, 236858, 6517, 3345, 236761, 138, 107, 139, 236772, 5213, 12104, 2865, 115716, 53121, 55511, 236858, 236751, 24458, 7338, 13291, 568, 236811, 3516, 236768, 5021, 26217, 496, 5213, 236825, 236828, 236908, 6584, 531, 160006, 506, 81915, 4695, 125546, 47003, 21027, 236858, 236751, 25725, 618, 496, 6749, 5415, 236761, 138, 108, 236778, 236761, 5213, 66020, 236772, 26588, 23737, 831, 1018, 138, 107, 139, 236772, 21027, 815, 614, 5213, 236828, 236800, 236908, 15323, 3136, 528, 4972, 3426, 236743, 236812, 236771, 237366, 236811, 1018, 568, 85531, 573, 506, 83482, 236858, 34222, 22924, 12219, 90387, 769, 138, 107, 139, 236772, 10561, 236858, 236751, 10929, 26867, 5213, 236800, 236771, 594, 528, 12606, 622, 219946, 1018, 236793, 21027, 236858, 236751, 5213, 236770, 236778, 236828, 236761, 236832, 38460, 14470, 1018, 2342, 1091, 672, 3409, 20756, 496, 15846, 5070, 22702, 236761, 138, 108, 236800, 236761, 5213, 184904, 47203, 1018, 138, 107, 139, 236772, 5213, 132347, 21027, 53121, 2301, 15315, 4972, 672, 3409, 236793, 9456, 618, 999, 10602, 32571, 236919, 528, 5428, 7531, 529, 506, 83482, 76892, 236761, 138, 107, 139, 236772, 5213, 236798, 878, 236858, 18698, 53121, 9533, 15703, 3204, 67495, 5213, 26749, 1455, 236802, 32389, 568, 3359, 62902, 532, 27331, 5213, 131602, 62015, 568, 53897, 236764, 58883, 62902, 236764, 840, 21027, 236858, 236751, 39601, 7474, 496, 6332, 236761, 138, 108, 7243, 108, 10354, 5213, 21048, 236772, 28906, 9908, 8383, 1013, 1018, 138, 107, 236772, 5213, 8782, 19558, 53121, 236743, 236819, 236772, 236778, 568, 236797, 11962, 4695, 8575, 769, 138, 107, 236772, 5213, 91237, 27468, 53121, 138, 107, 138, 236772, 5213, 27962, 236743, 236770, 236812, 53121, 7728, 236761, 83482, 568, 236797, 11962, 4695, 3822, 21255, 769, 138, 107, 138, 236772, 5213, 27962, 236743, 236770, 236825, 53121, 657, 56670, 568, 23600, 236772, 6328, 531, 9584, 11247, 769, 138, 108, 7243, 108, 10354, 5213, 13751, 14968, 1018, 138, 107, 78621, 236858, 236751, 28317, 9286, 532, 7445, 236772, 19323, 104941, 2939, 26217, 618, 36792, 528, 1800, 16038, 11247, 4972, 236761, 55511, 236858, 236751, 633, 3516, 104811, 600, 914, 3736, 1451, 9584, 506, 41203, 236858, 1171, 48524, 86776, 2338, 236743, 236778, 236771, 236770, 236825, 236761, 21284, 611, 1133, 786, 531, 2426, 573, 9938, 12496, 699, 1032, 7021, 653, 18840, 3530, 83482, 236786, 236799, 7233, 25501, 49679, 2342, 21027, 236858, 236751, 28386, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 6524, 4668, 580, 506, 26217, 41203, 531, 1601, 496, 12339, 81536, 236761, 28344, 611, 33205, 784, 4803, 8511, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 86563, 1083, 78493, 3250, 1083, 623, 114476, 41203, 9753, 92432, 55607, 1942, 531, 13147, 3430, 43052, 827, 623, 3955, 1083, 623, 818, 26217, 41203, 735, 15273, 4937, 1255, 30159, 155417, 7502, 8943, 528, 496, 5754, 607, 506, 22403, 107875, 236764, 42351, 531, 13878, 910, 1786, 11356, 7531, 529, 506, 47598, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 178536, 23532, 23179, 3714, 3250, 1083, 623, 236798, 878, 236789, 144002, 81378, 1705, 1472, 528, 9853, 15895, 73322, 827, 623, 3955, 1083, 623, 7280, 236772, 979, 4351, 44637, 21027, 9160, 573, 236743, 236778, 236828, 236819, 15844, 532, 236743, 236800, 63877, 528, 496, 236743, 236800, 236812, 236772, 236778, 236771, 3345, 1024, 506, 22080, 72487, 236764, 36996, 914, 4168, 22592, 1502, 607, 496, 38460, 14470, 2787, 236743, 236770, 236770, 236771, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236800, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 23179, 3714, 3250, 1083, 623, 52111, 12219, 5827, 32477, 223909, 236787, 1799, 160623, 532, 18671, 37270, 42074, 827, 623, 3955, 1083, 623, 818, 41203, 6261, 59817, 609, 236810, 236792, 528, 29353, 42392, 236764, 2440, 11764, 529, 496, 1883, 236772, 1340, 236772, 1437, 236772, 661, 5662, 3761, 532, 9806, 14484, 236772, 12383, 12308, 573, 7807, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 114476, 9617, 7161, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 12496, 580, 506, 26217, 41203, 236787, 108, 236770, 236761, 5213, 200833, 55607, 1942, 85903, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 114476, 41203, 9753, 92432, 55607, 1942, 531, 13147, 3430, 43052, 236775, 138, 107, 139, 236829, 9473, 149681, 669, 41203, 38633, 573, 4937, 1255, 30159, 27331, 7502, 8943, 699, 506, 107875, 531, 13878, 910, 1786, 11356, 236761, 138, 107, 139, 236829, 5825, 149681, 55511, 23532, 1109, 808, 3682, 149681, 6243, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 236778, 236761, 5213, 236794, 87325, 81378, 236789, 236751, 8383, 725, 19791, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 236798, 878, 236789, 144002, 81378, 1705, 1472, 528, 9853, 15895, 73322, 236775, 138, 107, 139, 236829, 9473, 149681, 5315, 236772, 979, 4351, 44637, 21027, 28120, 236743, 236778, 236828, 236819, 15844, 532, 236743, 236800, 198674, 528, 496, 236743, 236800, 236812, 236772, 236778, 236771, 3345, 1024, 506, 72487, 236764, 607, 496, 38460, 14470, 2787, 236743, 236770, 236770, 236771, 528, 1806, 6850, 9857, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 6243, 236743, 236800, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 236800, 236761, 5213, 52111, 12219, 5827, 32477, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 52111, 12219, 5827, 32477, 223909, 236787, 1799, 160623, 532, 18671, 37270, 42074, 236775, 138, 107, 139, 236829, 9473, 149681, 609, 236810, 236792, 528, 29353, 42392, 3204, 496, 861, 5662, 3761, 532, 9806, 14484, 236772, 12383, 573, 7807, 236761, 138, 107, 139, 236829, 5825, 149681, 26217, 9617, 7161, 1109, 808, 3682, 149681, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 38786, 611, 1133, 786, 531, 6778, 580, 1027, 529, 1239, 8511, 653, 2426, 573, 12496, 699, 496, 3530, 4668, 3738, 236881, 106, 107, 105, 2364, 107, 2021, 2480, 3050, 44637, 21027, 236789, 236751, 3736, 236764, 1451, 611, 33205, 4767, 4889, 699, 506, 23532, 10981, 8859, 914, 4803, 4972, 532, 1217, 668, 59556, 872, 2342, 1032, 53472, 132524, 528, 506, 15284, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 132347, 21027, 1705, 1472, 528, 3946, 19458, 113542, 236764, 58865, 38882, 29722, 827, 623, 6011, 1083, 623, 236794, 87325, 81378, 44637, 21027, 28120, 573, 236743, 236778, 236812, 236800, 15844, 532, 236743, 236778, 198674, 528, 26217, 236789, 236751, 236743, 236778, 236812, 236772, 236770, 236832, 3345, 1024, 29236, 236764, 855, 68219, 12339, 208937, 565, 236761, 236863, 236761, 842, 10114, 532, 118104, 11853, 528, 2307, 19455, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236810, 236774, 236770, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 23179, 3714, 3250, 1083, 623, 236798, 878, 236789, 81378, 41157, 236787, 21027, 236789, 236751, 49087, 22705, 132928, 699, 72055, 827, 623, 6011, 1083, 623, 72358, 72055, 24724, 21027, 236789, 236751, 756, 138522, 236772, 2788, 19067, 6219, 236789, 1913, 7600, 10154, 236764, 28830, 914, 9806, 4893, 236772, 15992, 5483, 531, 3649, 4122, 3545, 34328, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 23179, 3714, 3250, 1083, 623, 236778, 236771, 236778, 236810, 144002, 81378, 8708, 236787, 21027, 121206, 528, 185129, 61378, 847, 827, 623, 6011, 1083, 623, 5141, 23532, 10981, 26545, 236764, 21027, 26867, 1171, 3571, 236743, 236778, 236771, 236778, 236810, 81378, 1012, 528, 236743, 236812, 594, 7737, 38460, 14470, 568, 236770, 236771, 236828, 236761, 236800, 236768, 532, 815, 16952, 236743, 236828, 529, 236743, 236770, 236778, 4168, 236772, 3843, 16972, 528, 2604, 10202, 25521, 10498, 623, 1896, 236779, 32071, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236778, 236812, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 138522, 10981, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 4767, 4889, 699, 23532, 10981, 1003, 44637, 21027, 236789, 236751, 3736, 532, 53472, 33772, 236787, 108, 236770, 236761, 5213, 3695, 19458, 113542, 23737, 831, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 132347, 21027, 1705, 1472, 528, 3946, 19458, 113542, 236764, 58865, 38882, 29722, 236775, 138, 107, 139, 236829, 9473, 149681, 21027, 149862, 12339, 208937, 565, 236761, 236863, 236761, 842, 10114, 568, 23834, 743, 236768, 532, 118104, 11853, 568, 6075, 2995, 236768, 528, 26217, 236789, 236751, 236743, 236778, 236812, 236772, 236770, 236832, 3345, 1024, 29236, 236764, 27553, 236743, 236778, 236812, 236800, 15844, 532, 236743, 236778, 198674, 1651, 25409, 236743, 236828, 236778, 236908, 529, 914, 16349, 528, 6749, 21090, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 5729, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 91334, 132928, 573, 8236, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 236798, 878, 236789, 81378, 41157, 236787, 21027, 236789, 236751, 49087, 22705, 132928, 699, 72055, 236775, 138, 107, 139, 236829, 9473, 149681, 27444, 72055, 24724, 21027, 236789, 236751, 623, 138522, 236772, 2788, 19067, 6219, 236775, 532, 8601, 3629, 15955, 528, 4893, 236772, 15992, 2338, 4122, 3545, 236764, 68570, 607, 3649, 34328, 528, 6013, 2890, 1283, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 5729, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236800, 236761, 5213, 1829, 13194, 19791, 116589, 1018, 138, 107, 139, 236829, 7396, 149681, 623, 236778, 236771, 236778, 236810, 144002, 81378, 8708, 236787, 21027, 121206, 528, 185129, 61378, 847, 236775, 138, 107, 139, 236829, 9473, 149681, 21027, 26867, 5213, 236770, 540, 3571, 236743, 236778, 236771, 236778, 236810, 53472, 1366, 35343, 1018, 528, 236743, 236812, 594, 236772, 33255, 38460, 14470, 568, 236770, 236771, 236828, 236761, 236800, 236768, 532, 815, 16952, 5213, 236828, 529, 236743, 236770, 236778, 4168, 236772, 3843, 16972, 1018, 528, 2604, 236772, 13873, 25521, 236764, 58442, 189376, 1208, 4204, 236761, 138, 107, 139, 236829, 5825, 149681, 23532, 10981, 1109, 808, 3682, 149681, 5729, 236743, 236778, 236812, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 10354, 9533, 12774, 50914, 236787, 138, 107, 236772, 21027, 236858, 236751, 5596, 531, 2121, 528, 1494, 236772, 519, 3445, 12983, 568, 236744, 236761, 236759, 1126, 2604, 10202, 236764, 236743, 236812, 594, 7737, 236768, 7093, 1515, 6576, 699, 30055, 1133, 842, 10114, 532, 11853, 236761, 138, 107, 236772, 4923, 24519, 532, 4893, 236772, 15992, 735, 15575, 153492, 699, 26896, 1366, 35343, 1133, 72055, 236761, 138, 107, 236772, 35438, 3600, 668, 236858, 236751, 506, 1346, 9958, 53472, 528, 35322, 6749, 51469, 236761, 138, 108, 38786, 611, 1133, 786, 531, 10769, 1239, 20673, 531, 3530, 34580, 653, 18840, 1217, 672, 18506, 26217, 236858, 236751, 48524, 32672, 236881, 106, 107, 105, 2364, 107, 26479, 44637, 21027, 236789, 236751, 86736, 19455, 236764, 1451, 611, 2426, 55511, 23532, 573, 4803, 3671, 580, 1217, 914, 3736, 18506, 26217, 236789, 236751, 48524, 28541, 236764, 6412, 19541, 580, 910, 16038, 184820, 2342, 506, 83482, 532, 56670, 236881, 564, 236858, 236753, 1133, 531, 4071, 236772, 30449, 672, 607, 506, 41203, 236858, 1873, 90915, 532, 9938, 7248, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 132347, 21027, 236789, 236751, 48120, 81378, 116589, 38039, 41203, 236789, 9274, 2865, 41900, 827, 623, 3955, 1083, 623, 178536, 23532, 37078, 8357, 44637, 21027, 236789, 236751, 15284, 236772, 26016, 236743, 236832, 236761, 236778, 15844, 810, 5686, 532, 236743, 236819, 236832, 236761, 236812, 12613, 1366, 12357, 618, 2307, 14397, 573, 26217, 236789, 236751, 236743, 236819, 236772, 236778, 3423, 236761, 4923, 3736, 2342, 7086, 8036, 568, 236800, 198674, 236764, 236743, 236771, 23442, 236751, 236768, 532, 10561, 568, 236778, 236828, 236819, 15844, 236764, 236743, 236819, 236812, 236761, 236770, 14470, 236768, 5467, 88435, 607, 506, 41203, 236789, 236743, 236812, 236761, 236810, 236772, 5567, 2080, 528, 506, 81915, 4695, 236761, 78106, 7248, 1407, 21027, 236789, 236751, 39601, 568, 1904, 15315, 4972, 236768, 92104, 26217, 236789, 236751, 48524, 19360, 2342, 1800, 11247, 43219, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 24132, 236749, 23179, 3714, 3250, 1083, 623, 236798, 878, 236789, 9274, 3070, 36630, 236787, 21027, 236789, 236751, 27938, 580, 6384, 28253, 11303, 827, 623, 3955, 1083, 623, 49789, 20673, 16913, 44637, 21027, 236789, 236751, 236743, 236828, 236800, 236908, 15323, 3136, 528, 7445, 7606, 4972, 568, 21314, 236761, 83482, 236789, 236743, 236812, 236770, 236908, 11356, 236768, 532, 236743, 236770, 236778, 236828, 236761, 236832, 38460, 14470, 2342, 10561, 236789, 236751, 10929, 236761, 55511, 236789, 236751, 24458, 7338, 13291, 5021, 26217, 496, 236743, 236825, 236828, 236908, 6584, 531, 160006, 506, 81915, 4695, 2721, 580, 1239, 36679, 236772, 15396, 15067, 236764, 607, 9938, 12496, 49378, 21027, 236789, 236751, 58024, 573, 34222, 22924, 12219, 90387, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236771, 236812, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6265, 1083, 623, 24132, 236749, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 699, 55511, 23532, 580, 44637, 21027, 236858, 236751, 4100, 532, 26217, 236858, 236751, 48524, 32672, 2342, 506, 83482, 532, 56670, 236787, 108, 7243, 108, 10354, 5213, 3503, 76374, 699, 55511, 23532, 1018, 138, 107, 236770, 236761, 5213, 173067, 81378, 116589, 65525, 9274, 2865, 164687, 1018, 138, 107, 139, 236772, 5213, 30738, 53121, 44637, 21027, 9025, 506, 15284, 607, 5213, 236832, 236761, 236778, 15844, 810, 5686, 1018, 532, 496, 5213, 236819, 236832, 236761, 236812, 12613, 1366, 12357, 125546, 5467, 221937, 607, 26217, 236858, 236751, 5213, 236819, 236772, 236778, 3423, 1018, 532, 5213, 236812, 236761, 236810, 236772, 5567, 2080, 528, 506, 81915, 4695, 84750, 138, 107, 139, 236772, 5213, 54763, 164754, 824, 21942, 53121, 138, 107, 141, 236772, 5213, 91561, 506, 83482, 53121, 236743, 236800, 198674, 236764, 236743, 236771, 23442, 236751, 236764, 532, 496, 236743, 236770, 236771, 236812, 236761, 236770, 38460, 14470, 528, 910, 3527, 5395, 236761, 138, 107, 141, 236772, 5213, 91561, 506, 56670, 53121, 236743, 236778, 236828, 236819, 15844, 532, 496, 236743, 236819, 236812, 236761, 236770, 14470, 528, 506, 41203, 236858, 6517, 3345, 236761, 138, 107, 139, 236772, 5213, 12104, 2865, 115716, 53121, 55511, 236858, 236751, 24458, 7338, 13291, 568, 236811, 3516, 236768, 5021, 26217, 496, 5213, 236825, 236828, 236908, 6584, 531, 160006, 506, 81915, 4695, 125546, 47003, 21027, 236858, 236751, 25725, 618, 496, 6749, 5415, 236761, 138, 108, 236778, 236761, 5213, 66020, 236772, 26588, 23737, 831, 1018, 138, 107, 139, 236772, 21027, 815, 614, 5213, 236828, 236800, 236908, 15323, 3136, 528, 4972, 3426, 236743, 236812, 236771, 237366, 236811, 1018, 568, 85531, 573, 506, 83482, 236858, 34222, 22924, 12219, 90387, 769, 138, 107, 139, 236772, 10561, 236858, 236751, 10929, 26867, 5213, 236800, 236771, 594, 528, 12606, 622, 219946, 1018, 236793, 21027, 236858, 236751, 5213, 236770, 236778, 236828, 236761, 236832, 38460, 14470, 1018, 2342, 1091, 672, 3409, 20756, 496, 15846, 5070, 22702, 236761, 138, 108, 236800, 236761, 5213, 184904, 47203, 1018, 138, 107, 139, 236772, 5213, 132347, 21027, 53121, 2301, 15315, 4972, 672, 3409, 236793, 9456, 618, 999, 10602, 32571, 236919, 528, 5428, 7531, 529, 506, 83482, 76892, 236761, 138, 107, 139, 236772, 5213, 236798, 878, 236858, 18698, 53121, 9533, 15703, 3204, 67495, 5213, 26749, 1455, 236802, 32389, 568, 3359, 62902, 532, 27331, 5213, 131602, 62015, 568, 53897, 236764, 58883, 62902, 236764, 840, 21027, 236858, 236751, 39601, 7474, 496, 6332, 236761, 138, 108, 7243, 108, 10354, 5213, 21048, 236772, 28906, 9908, 8383, 1013, 1018, 138, 107, 236772, 5213, 8782, 19558, 53121, 236743, 236819, 236772, 236778, 568, 236797, 11962, 4695, 8575, 769, 138, 107, 236772, 5213, 91237, 27468, 53121, 138, 107, 138, 236772, 5213, 27962, 236743, 236770, 236812, 53121, 7728, 236761, 83482, 568, 236797, 11962, 4695, 3822, 21255, 769, 138, 107, 138, 236772, 5213, 27962, 236743, 236770, 236825, 53121, 657, 56670, 568, 23600, 236772, 6328, 531, 9584, 11247, 769, 138, 108, 7243, 108, 10354, 5213, 13751, 14968, 1018, 138, 107, 78621, 236858, 236751, 28317, 9286, 532, 7445, 236772, 19323, 104941, 2939, 26217, 618, 36792, 528, 1800, 16038, 11247, 4972, 236761, 55511, 236858, 236751, 633, 3516, 104811, 600, 914, 3736, 1451, 9584, 506, 41203, 236858, 1171, 48524, 86776, 2338, 236743, 236778, 236771, 236770, 236825, 236761, 21284, 611, 1133, 786, 531, 2426, 573, 9938, 12496, 699, 1032, 7021, 653, 18840, 3530, 83482, 236786, 236799, 7233, 25501, 49679, 2342, 21027, 236858, 236751, 28386, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 9979, 528, 506, 44696, 573, 1041, 1960, 7946, 6995, 236761, 3551, 40135, 6950, 44696, 815, 1822, 1759, 9350, 7760, 573, 1944, 8634, 236764, 532, 564, 236789, 236757, 6972, 529, 21494, 1041, 12325, 2509, 993, 236761, 3199, 611, 1407, 786, 784, 506, 8008, 9979, 528, 506, 44696, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 165241, 65793, 827, 623, 126391, 827, 623, 114457, 48779, 827, 623, 47393, 1562, 827, 623, 236836, 3951, 1429, 2797, 236765, 662, 827, 623, 107435, 1429, 110599, 161498, 827, 623, 203893, 1404, 957, 99471, 106, 107, 105, 4368, 107, 8291, 659, 784, 506, 8008, 9979, 528, 506, 44696, 1298, 611, 740, 11327, 1759, 9350, 7760, 573, 822, 12325, 2509, 1960, 236787, 108, 236772, 5213, 165241, 65793, 1018, 138, 107, 236772, 5213, 126391, 1018, 138, 107, 236772, 5213, 114457, 48779, 1018, 138, 107, 236772, 5213, 47393, 1562, 1018, 138, 107, 236772, 5213, 236836, 3951, 1429, 2797, 236765, 662, 1018, 138, 107, 236772, 5213, 107435, 1429, 110599, 161498, 1018, 138, 107, 236772, 5213, 203893, 1404, 957, 1018, 138, 108, 9208, 6819, 159322, 1090, 2754, 506, 2587, 11104, 529, 44696, 9979, 607, 5158, 1759, 9350, 9766, 236761, 27912, 532, 32199, 65793, 659, 6412, 3188, 573, 1944, 1960, 10534, 2779, 531, 910, 6635, 73696, 532, 12308, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4889, 1003, 3530, 20969, 653, 3670, 4458, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 2583, 786, 506, 6492, 573, 506, 7449, 8036, 7905, 528, 27912, 236881, 564, 236789, 236757, 4875, 531, 5811, 855, 768, 625, 236789, 236751, 496, 1535, 7075, 573, 1041, 12325, 1960, 531, 1076, 872, 7805, 237028, 3307, 40135, 3189, 625, 236789, 236751, 105437, 607, 6635, 4588, 236764, 840, 564, 1461, 531, 1386, 2889, 625, 100146, 607, 1144, 564, 1202, 573, 496, 1944, 2509, 1960, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7777, 1083, 623, 17844, 8036, 563, 496, 16086, 6635, 7905, 528, 27912, 3224, 573, 1061, 1494, 236772, 20128, 4408, 10692, 236764, 15818, 20736, 236764, 532, 28239, 1960, 3453, 236761, 1030, 20472, 10572, 72878, 29107, 532, 48951, 236764, 607, 496, 19707, 8499, 529, 6635, 4588, 7436, 573, 2509, 236772, 5140, 8634, 236761, 669, 2433, 17149, 7274, 3998, 8827, 1913, 1960, 3885, 236764, 3043, 625, 614, 7516, 4563, 573, 496, 12325, 2509, 531, 5370, 496, 16932, 4430, 3225, 10498, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 6492, 573, 5213, 17844, 8036, 236764, 27912, 1018, 2721, 580, 506, 6524, 1262, 568, 5455, 10448, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 108, 7243, 108, 1018, 17844, 8036, 1018, 563, 496, 16086, 6635, 7905, 528, 27912, 236764, 33461, 573, 1061, 1494, 236772, 20128, 4408, 41037, 236764, 15818, 20736, 236764, 532, 10795, 1960, 18481, 236761, 1030, 14736, 618, 496, 15039, 573, 72878, 29107, 236764, 48951, 236764, 532, 11961, 28471, 236764, 7107, 496, 19707, 8499, 529, 6635, 4588, 236761, 669, 2433, 9871, 5213, 11480, 3998, 8827, 1913, 1960, 3885, 125546, 607, 15913, 236764, 1028, 236772, 25421, 9952, 236764, 532, 10002, 35361, 9204, 9958, 5056, 573, 5707, 3019, 1133, 12325, 236761, 108, 1018, 11355, 625, 236858, 236751, 7436, 573, 822, 12325, 1960, 53121, 107, 236772, 113452, 5213, 10206, 80304, 66515, 71117, 236764, 20736, 236764, 532, 11961, 36299, 528, 506, 7905, 1660, 4841, 12325, 3019, 236761, 107, 236772, 113452, 5213, 219201, 62986, 66515, 4819, 56293, 6224, 532, 1960, 4588, 5330, 496, 13451, 4430, 3225, 236761, 107, 236772, 113452, 5213, 143389, 66515, 7134, 236772, 18941, 4323, 27912, 32758, 568, 17844, 8036, 14629, 236768, 532, 3262, 16370, 236764, 3043, 625, 3735, 573, 822, 2434, 531, 12833, 236761, 108, 2094, 100146, 13275, 607, 822, 5671, 529, 21494, 496, 1944, 12325, 2509, 237028, 17844, 8036, 236858, 236751, 6635, 2778, 3590, 625, 496, 14971, 4563, 531, 6869, 822, 1960, 236761, 108, 38786, 611, 1133, 531, 11327, 3530, 3670, 3835, 653, 10769, 672, 7905, 607, 3496, 568, 236744, 236761, 236759, 1126, 27912, 40715, 653, 161282, 236780, 20625, 103453, 106, 107, 105, 2364, 107, 8574, 611, 1407, 786, 506, 3670, 1159, 236772, 9846, 2487, 573, 6635, 5082, 528, 7449, 8036, 236764, 27912, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 3182, 657, 506, 1447, 2712, 529, 2557, 237028, 5282, 15913, 653, 10002, 9952, 237028, 25142, 1041, 12325, 1960, 1093, 1202, 2613, 600, 19009, 496, 1944, 2509, 5585, 236764, 711, 496, 7186, 34508, 653, 8217, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12363, 236779, 2084, 1083, 623, 74253, 827, 623, 2204, 236779, 9846, 1083, 11058, 39451, 827, 623, 109799, 827, 623, 149127, 827, 623, 81343, 827, 623, 105367, 236772, 10896, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 62473, 3670, 1159, 236772, 9846, 1018, 2487, 528, 27912, 568, 16603, 7449, 8036, 779, 2721, 580, 506, 6524, 44696, 1759, 9350, 23191, 236787, 108, 7243, 108, 10354, 113452, 5213, 14254, 66530, 573, 5180, 46749, 7449, 53121, 107, 236772, 5213, 39451, 1018, 138, 107, 138, 236829, 116153, 573, 1944, 2509, 6675, 236829, 1271, 3143, 659, 11236, 236764, 5707, 9952, 568, 236744, 236761, 236759, 1126, 236743, 236810, 236771, 236771, 236964, 236770, 236764, 236810, 236771, 236771, 18288, 765, 236768, 7436, 573, 496, 12325, 1960, 4408, 236764, 4430, 13721, 236764, 653, 6310, 236761, 7449, 8036, 815, 31295, 5213, 10732, 4408, 9952, 1018, 4011, 573, 822, 3548, 236761, 107, 138, 107, 236772, 5213, 109799, 1018, 138, 107, 138, 236829, 144330, 573, 121907, 6675, 236829, 1271, 125936, 10002, 6630, 568, 236744, 236761, 236759, 1126, 236743, 236800, 236771, 236771, 236964, 236828, 236771, 236771, 18288, 765, 236768, 1451, 981, 768, 611, 1461, 496, 11325, 4563, 573, 4430, 1519, 236772, 11303, 653, 1944, 10002, 3019, 236761, 39874, 2455, 34508, 9952, 568, 236744, 236761, 236759, 1126, 623, 116749, 236775, 563, 711, 496, 1159, 236772, 2084, 1590, 769, 108, 7243, 108, 10354, 236743, 242523, 5213, 37808, 66530, 568, 4348, 58731, 1473, 1018, 107, 236772, 5213, 149127, 1018, 965, 5213, 81343, 1018, 1271, 34746, 2455, 532, 10317, 580, 6310, 236786, 190400, 568, 2217, 573, 496, 2509, 1960, 769, 107, 236772, 5213, 105367, 236772, 10896, 1018, 1271, 28344, 981, 808, 584, 236829, 506, 4408, 236786, 153558, 9381, 563, 1944, 236764, 840, 7087, 15318, 3540, 529, 506, 3530, 20104, 236761, 108, 7243, 108, 10354, 236743, 244549, 5213, 3503, 12774, 14968, 573, 7449, 8036, 53121, 107, 17844, 8036, 563, 5213, 87938, 684, 4408, 532, 10002, 1159, 236772, 9846, 125546, 607, 5213, 1904, 623, 78944, 236775, 653, 623, 58657, 236775, 1159, 236772, 9846, 1018, 9456, 568, 17993, 40135, 4547, 9655, 808, 62473, 73696, 236829, 1133, 27912, 25929, 236764, 837, 563, 7732, 699, 7449, 8036, 4850, 769, 1599, 236858, 859, 1586, 5213, 10732, 236764, 14887, 4408, 9952, 1018, 7436, 573, 496, 12325, 2509, 26847, 236761, 108, 236813, 14691, 236787, 562, 236743, 236825, 236771, 236771, 18288, 765, 5213, 39451, 1018, 4360, 528, 7449, 8036, 568, 236744, 236761, 236759, 1126, 3541, 27912, 25929, 653, 227517, 145529, 236768, 1093, 2583, 611, 27820, 236764, 36453, 236764, 532, 33417, 531, 11961, 7391, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 5213, 4002, 20310, 6527, 1018, 573, 1944, 4408, 9952, 528, 7449, 8036, 531, 1601, 7715, 822, 10884, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 9979, 528, 506, 44696, 573, 1041, 1960, 7946, 6995, 236761, 3551, 40135, 6950, 44696, 815, 1822, 1759, 9350, 7760, 573, 1944, 8634, 236764, 532, 564, 236789, 236757, 6972, 529, 21494, 1041, 12325, 2509, 993, 236761, 3199, 611, 1407, 786, 784, 506, 8008, 9979, 528, 506, 44696, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 165241, 65793, 827, 623, 126391, 827, 623, 114457, 48779, 827, 623, 47393, 1562, 827, 623, 236836, 3951, 1429, 2797, 236765, 662, 827, 623, 107435, 1429, 110599, 161498, 827, 623, 203893, 1404, 957, 99471, 106, 107, 105, 4368, 107, 8291, 659, 784, 506, 8008, 9979, 528, 506, 44696, 1298, 611, 740, 11327, 1759, 9350, 7760, 573, 822, 12325, 2509, 1960, 236787, 108, 236772, 5213, 165241, 65793, 1018, 138, 107, 236772, 5213, 126391, 1018, 138, 107, 236772, 5213, 114457, 48779, 1018, 138, 107, 236772, 5213, 47393, 1562, 1018, 138, 107, 236772, 5213, 236836, 3951, 1429, 2797, 236765, 662, 1018, 138, 107, 236772, 5213, 107435, 1429, 110599, 161498, 1018, 138, 107, 236772, 5213, 203893, 1404, 957, 1018, 138, 108, 9208, 6819, 159322, 1090, 2754, 506, 2587, 11104, 529, 44696, 9979, 607, 5158, 1759, 9350, 9766, 236761, 27912, 532, 32199, 65793, 659, 6412, 3188, 573, 1944, 1960, 10534, 2779, 531, 910, 6635, 73696, 532, 12308, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4889, 1003, 3530, 20969, 653, 3670, 4458, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 2583, 786, 506, 6492, 573, 506, 7449, 8036, 7905, 528, 27912, 236881, 564, 236789, 236757, 4875, 531, 5811, 855, 768, 625, 236789, 236751, 496, 1535, 7075, 573, 1041, 12325, 1960, 531, 1076, 872, 7805, 237028, 3307, 40135, 3189, 625, 236789, 236751, 105437, 607, 6635, 4588, 236764, 840, 564, 1461, 531, 1386, 2889, 625, 100146, 607, 1144, 564, 1202, 573, 496, 1944, 2509, 1960, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7777, 1083, 623, 17844, 8036, 563, 496, 16086, 6635, 7905, 528, 27912, 3224, 573, 1061, 1494, 236772, 20128, 4408, 10692, 236764, 15818, 20736, 236764, 532, 28239, 1960, 3453, 236761, 1030, 20472, 10572, 72878, 29107, 532, 48951, 236764, 607, 496, 19707, 8499, 529, 6635, 4588, 7436, 573, 2509, 236772, 5140, 8634, 236761, 669, 2433, 17149, 7274, 3998, 8827, 1913, 1960, 3885, 236764, 3043, 625, 614, 7516, 4563, 573, 496, 12325, 2509, 531, 5370, 496, 16932, 4430, 3225, 10498, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 6492, 573, 5213, 17844, 8036, 236764, 27912, 1018, 2721, 580, 506, 6524, 1262, 568, 5455, 10448, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 108, 7243, 108, 1018, 17844, 8036, 1018, 563, 496, 16086, 6635, 7905, 528, 27912, 236764, 33461, 573, 1061, 1494, 236772, 20128, 4408, 41037, 236764, 15818, 20736, 236764, 532, 10795, 1960, 18481, 236761, 1030, 14736, 618, 496, 15039, 573, 72878, 29107, 236764, 48951, 236764, 532, 11961, 28471, 236764, 7107, 496, 19707, 8499, 529, 6635, 4588, 236761, 669, 2433, 9871, 5213, 11480, 3998, 8827, 1913, 1960, 3885, 125546, 607, 15913, 236764, 1028, 236772, 25421, 9952, 236764, 532, 10002, 35361, 9204, 9958, 5056, 573, 5707, 3019, 1133, 12325, 236761, 108, 1018, 11355, 625, 236858, 236751, 7436, 573, 822, 12325, 1960, 53121, 107, 236772, 113452, 5213, 10206, 80304, 66515, 71117, 236764, 20736, 236764, 532, 11961, 36299, 528, 506, 7905, 1660, 4841, 12325, 3019, 236761, 107, 236772, 113452, 5213, 219201, 62986, 66515, 4819, 56293, 6224, 532, 1960, 4588, 5330, 496, 13451, 4430, 3225, 236761, 107, 236772, 113452, 5213, 143389, 66515, 7134, 236772, 18941, 4323, 27912, 32758, 568, 17844, 8036, 14629, 236768, 532, 3262, 16370, 236764, 3043, 625, 3735, 573, 822, 2434, 531, 12833, 236761, 108, 2094, 100146, 13275, 607, 822, 5671, 529, 21494, 496, 1944, 12325, 2509, 237028, 17844, 8036, 236858, 236751, 6635, 2778, 3590, 625, 496, 14971, 4563, 531, 6869, 822, 1960, 236761, 108, 38786, 611, 1133, 531, 11327, 3530, 3670, 3835, 653, 10769, 672, 7905, 607, 3496, 568, 236744, 236761, 236759, 1126, 27912, 40715, 653, 161282, 236780, 20625, 103453, 106, 107, 105, 2364, 107, 8574, 611, 1407, 786, 506, 3670, 1159, 236772, 9846, 2487, 573, 6635, 5082, 528, 7449, 8036, 236764, 27912, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 3182, 657, 506, 1447, 2712, 529, 2557, 237028, 5282, 15913, 653, 10002, 9952, 237028, 25142, 1041, 12325, 1960, 1093, 1202, 2613, 600, 19009, 496, 1944, 2509, 5585, 236764, 711, 496, 7186, 34508, 653, 8217, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12363, 236779, 2084, 1083, 623, 74253, 827, 623, 2204, 236779, 9846, 1083, 11058, 39451, 827, 623, 109799, 827, 623, 149127, 827, 623, 81343, 827, 623, 105367, 236772, 10896, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 62473, 3670, 1159, 236772, 9846, 1018, 2487, 528, 27912, 568, 16603, 7449, 8036, 779, 2721, 580, 506, 6524, 44696, 1759, 9350, 23191, 236787, 108, 7243, 108, 10354, 113452, 5213, 14254, 66530, 573, 5180, 46749, 7449, 53121, 107, 236772, 5213, 39451, 1018, 138, 107, 138, 236829, 116153, 573, 1944, 2509, 6675, 236829, 1271, 3143, 659, 11236, 236764, 5707, 9952, 568, 236744, 236761, 236759, 1126, 236743, 236810, 236771, 236771, 236964, 236770, 236764, 236810, 236771, 236771, 18288, 765, 236768, 7436, 573, 496, 12325, 1960, 4408, 236764, 4430, 13721, 236764, 653, 6310, 236761, 7449, 8036, 815, 31295, 5213, 10732, 4408, 9952, 1018, 4011, 573, 822, 3548, 236761, 107, 138, 107, 236772, 5213, 109799, 1018, 138, 107, 138, 236829, 144330, 573, 121907, 6675, 236829, 1271, 125936, 10002, 6630, 568, 236744, 236761, 236759, 1126, 236743, 236800, 236771, 236771, 236964, 236828, 236771, 236771, 18288, 765, 236768, 1451, 981, 768, 611, 1461, 496, 11325, 4563, 573, 4430, 1519, 236772, 11303, 653, 1944, 10002, 3019, 236761, 39874, 2455, 34508, 9952, 568, 236744, 236761, 236759, 1126, 623, 116749, 236775, 563, 711, 496, 1159, 236772, 2084, 1590, 769, 108, 7243, 108, 10354, 236743, 242523, 5213, 37808, 66530, 568, 4348, 58731, 1473, 1018, 107, 236772, 5213, 149127, 1018, 965, 5213, 81343, 1018, 1271, 34746, 2455, 532, 10317, 580, 6310, 236786, 190400, 568, 2217, 573, 496, 2509, 1960, 769, 107, 236772, 5213, 105367, 236772, 10896, 1018, 1271, 28344, 981, 808, 584, 236829, 506, 4408, 236786, 153558, 9381, 563, 1944, 236764, 840, 7087, 15318, 3540, 529, 506, 3530, 20104, 236761, 108, 7243, 108, 10354, 236743, 244549, 5213, 3503, 12774, 14968, 573, 7449, 8036, 53121, 107, 17844, 8036, 563, 5213, 87938, 684, 4408, 532, 10002, 1159, 236772, 9846, 125546, 607, 5213, 1904, 623, 78944, 236775, 653, 623, 58657, 236775, 1159, 236772, 9846, 1018, 9456, 568, 17993, 40135, 4547, 9655, 808, 62473, 73696, 236829, 1133, 27912, 25929, 236764, 837, 563, 7732, 699, 7449, 8036, 4850, 769, 1599, 236858, 859, 1586, 5213, 10732, 236764, 14887, 4408, 9952, 1018, 7436, 573, 496, 12325, 2509, 26847, 236761, 108, 236813, 14691, 236787, 562, 236743, 236825, 236771, 236771, 18288, 765, 5213, 39451, 1018, 4360, 528, 7449, 8036, 568, 236744, 236761, 236759, 1126, 3541, 27912, 25929, 653, 227517, 145529, 236768, 1093, 2583, 611, 27820, 236764, 36453, 236764, 532, 33417, 531, 11961, 7391, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 5213, 4002, 20310, 6527, 1018, 573, 1944, 4408, 9952, 528, 7449, 8036, 531, 1601, 7715, 822, 10884, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 10848, 3075, 496, 11048, 573, 1041, 3399, 25922, 2299, 1003, 7830, 1610, 236789, 236751, 7630, 580, 4532, 1076, 1702, 236764, 532, 564, 236789, 236753, 2765, 531, 3204, 1070, 35381, 699, 111555, 1003, 135312, 236789, 236751, 1813, 133842, 236761, 28344, 611, 3927, 8582, 573, 111555, 600, 3249, 135312, 236789, 236751, 1813, 133842, 532, 910, 4100, 580, 1610, 236881, 1637, 2653, 236764, 5957, 506, 2536, 531, 5422, 5192, 532, 3640, 4184, 4128, 236761, 564, 5630, 9333, 496, 1822, 886, 657, 506, 9427, 1774, 1051, 840, 1093, 5278, 531, 1586, 2613, 2487, 3489, 672, 990, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40232, 1083, 78493, 3250, 1083, 623, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 562, 88459, 29288, 753, 4585, 121394, 827, 623, 2451, 1083, 623, 2574, 1411, 55871, 236761, 1553, 236786, 236917, 236810, 124394, 236935, 236825, 197428, 236855, 65299, 827, 623, 7777, 1083, 623, 20647, 2985, 1217, 135312, 236789, 236751, 7768, 46686, 695, 3605, 171983, 4532, 1610, 532, 21202, 236743, 236778, 236771, 594, 236772, 33201, 7426, 5619, 10498, 623, 19859, 1083, 623, 501, 827, 623, 13647, 1083, 623, 605, 827, 623, 13084, 1083, 623, 236770, 236761, 236778, 236792, 827, 623, 12027, 1083, 623, 9175, 10358, 10950, 23179, 3714, 3250, 1083, 623, 818, 8136, 19871, 236787, 135312, 236789, 236751, 667, 2281, 1920, 532, 506, 7768, 46686, 695, 753, 23372, 121394, 827, 623, 2451, 1083, 623, 2574, 1411, 55871, 236761, 1553, 236786, 236819, 236824, 5338, 20074, 236766, 236806, 236778, 236759, 236874, 827, 623, 7777, 1083, 623, 179433, 531, 135312, 236789, 236751, 7972, 528, 667, 2281, 1920, 532, 3671, 529, 506, 7768, 46686, 695, 236789, 4100, 580, 16236, 1076, 1702, 10498, 623, 19859, 1083, 623, 501, 827, 623, 13647, 1083, 623, 605, 827, 623, 13084, 1083, 623, 236828, 236819, 236771, 236855, 827, 623, 12027, 1083, 623, 78692, 14822, 23179, 3714, 3250, 1083, 623, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 45004, 506, 14232, 17884, 753, 13806, 4585, 13768, 827, 623, 2451, 1083, 623, 2574, 1411, 55871, 236761, 1553, 236786, 236800, 51072, 236796, 4012, 236874, 236766, 93130, 236792, 827, 623, 7777, 1083, 623, 154572, 507, 89560, 1534, 135312, 236789, 236751, 18358, 617, 8403, 532, 4532, 5177, 1610, 6182, 528, 25922, 1702, 10498, 623, 19859, 1083, 623, 501, 827, 623, 13647, 1083, 623, 605, 827, 623, 13084, 1083, 623, 236812, 236810, 236771, 236855, 827, 623, 12027, 1083, 623, 32106, 4585, 7955, 25938, 1604, 623, 13647, 1083, 623, 27211, 4184, 827, 623, 19859, 1083, 623, 27832, 827, 623, 3278, 1083, 623, 10505, 536, 1813, 133842, 32165, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1806, 32165, 3835, 600, 1451, 14051, 822, 11048, 1003, 135312, 236789, 236751, 7630, 580, 4532, 1076, 1702, 236787, 108, 236770, 236761, 5213, 236840, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 562, 88459, 29288, 5457, 2574, 1411, 55871, 236761, 1553, 236786, 236917, 236810, 124394, 236935, 236825, 197428, 236855, 65299, 62902, 138, 107, 139, 236829, 18842, 63508, 4585, 10358, 10950, 568, 236770, 236761, 236778, 236792, 8208, 236768, 138, 107, 139, 15354, 507, 580, 1217, 135312, 236789, 236751, 3605, 171983, 4532, 1610, 532, 21735, 236743, 236778, 236771, 594, 236772, 33201, 7426, 5619, 236761, 77023, 573, 18024, 118340, 1929, 531, 25898, 25075, 18560, 236761, 108, 236778, 236761, 5213, 236840, 818, 8136, 19871, 236787, 135312, 236789, 236751, 667, 2281, 1920, 5457, 2574, 1411, 55871, 236761, 1553, 236786, 236819, 236824, 5338, 20074, 236766, 236806, 236778, 236759, 236874, 62902, 138, 107, 139, 236829, 18842, 63508, 23372, 14822, 568, 236828, 236819, 236771, 236855, 8208, 236768, 138, 107, 139, 20647, 2985, 135312, 236789, 236751, 7972, 532, 25010, 23948, 914, 7768, 46686, 695, 531, 16236, 1076, 1702, 12466, 236761, 27717, 1982, 36787, 531, 822, 10562, 236761, 108, 236800, 236761, 5213, 236840, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 45004, 506, 14232, 17884, 5457, 2574, 1411, 55871, 236761, 1553, 236786, 236800, 51072, 236796, 4012, 236874, 236766, 93130, 236792, 62902, 138, 107, 139, 236829, 18842, 63508, 14232, 4585, 7955, 568, 236812, 236810, 236771, 236855, 8208, 236768, 138, 107, 139, 14575, 236751, 89560, 1534, 135312, 236789, 236751, 8403, 532, 4532, 5177, 1610, 6182, 528, 25922, 236764, 7436, 573, 6807, 11858, 236772, 1071, 236772, 30466, 25477, 236761, 108, 3243, 2536, 659, 5422, 236772, 19859, 10103, 158725, 2487, 528, 506, 749, 236761, 236773, 236761, 21284, 611, 1133, 1601, 32187, 3530, 10217, 529, 1239, 111555, 653, 68657, 506, 3927, 3342, 236881, 106, 107, 105, 2364, 107, 818, 32165, 699, 23372, 14822, 1003, 135312, 236789, 236751, 667, 2281, 1920, 12054, 6412, 7798, 236761, 28344, 611, 3927, 1570, 1699, 506, 30136, 623, 10505, 536, 667, 2281, 1920, 25922, 1076, 1702, 236775, 531, 1586, 919, 10317, 20875, 653, 4767, 10103, 600, 25010, 3249, 1217, 914, 7972, 532, 1813, 133842, 21202, 5552, 1702, 12466, 236881, 564, 236789, 236753, 2765, 531, 8357, 3530, 8403, 1133, 2258, 66051, 653, 2214, 37226, 600, 1076, 24316, 2473, 7535, 236761, 3792, 236858, 236751, 2514, 506, 5422, 236786, 3118, 18774, 5158, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40232, 1083, 78493, 3250, 1083, 623, 10505, 536, 236789, 236751, 667, 2281, 1920, 236787, 669, 19871, 2981, 88970, 32079, 7803, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 827, 623, 19001, 1083, 623, 236770, 236778, 236787, 236812, 236810, 827, 623, 13084, 1083, 623, 236770, 236810, 236771, 236855, 827, 623, 12027, 1083, 623, 78692, 14822, 23179, 3714, 3250, 1083, 623, 3484, 2376, 2669, 57939, 699, 135312, 531, 13806, 40396, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 827, 623, 19001, 1083, 623, 236819, 236787, 236800, 236771, 827, 623, 13084, 1083, 623, 236828, 236819, 236855, 827, 623, 12027, 1083, 623, 9175, 7955, 103154, 23179, 3714, 3250, 1083, 623, 17390, 46686, 695, 833, 32079, 7803, 236787, 562, 16785, 528, 10847, 172891, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 47986, 236832, 236828, 236819, 827, 623, 19001, 1083, 623, 236770, 236812, 236787, 236778, 236771, 827, 623, 13084, 1083, 623, 236778, 236770, 236771, 236855, 827, 623, 12027, 1083, 623, 202989, 7803, 19839, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 1083, 623, 10505, 536, 667, 2281, 1920, 25922, 1076, 1702, 827, 623, 10910, 1083, 623, 501, 827, 623, 3626, 1083, 623, 605, 827, 623, 2305, 236779, 2289, 236779, 27297, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1806, 15152, 1765, 5405, 600, 5467, 3371, 135312, 236789, 236751, 667, 2281, 1920, 7972, 531, 25922, 1076, 1702, 12466, 236787, 108, 236770, 236761, 5213, 236840, 10505, 536, 236789, 236751, 667, 2281, 1920, 236787, 669, 19871, 2981, 88970, 32079, 7803, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 62902, 138, 107, 139, 236829, 18842, 63508, 23372, 14822, 568, 236770, 236810, 236771, 236855, 8208, 236764, 236743, 236770, 236778, 236787, 236812, 236810, 236768, 138, 107, 139, 20647, 2985, 1217, 506, 7972, 236789, 236751, 11273, 532, 1813, 73554, 62262, 21202, 17864, 9637, 528, 4532, 25922, 7093, 236761, 169931, 5132, 10231, 8698, 699, 506, 23372, 236789, 236751, 3527, 32165, 3605, 236761, 108, 236778, 236761, 5213, 236840, 3484, 2376, 2669, 57939, 699, 135312, 531, 13806, 40396, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 62902, 138, 107, 139, 236829, 18842, 63508, 4585, 7955, 103154, 568, 236828, 236819, 236855, 8208, 236764, 236743, 236819, 236787, 236800, 236771, 236768, 138, 107, 139, 15354, 507, 580, 135312, 236789, 236751, 11207, 236772, 3001, 9939, 532, 1061, 29140, 1131, 68367, 25079, 11710, 531, 2619, 26536, 8744, 2180, 31084, 51749, 236761, 108, 236800, 236761, 5213, 236840, 17390, 46686, 695, 833, 32079, 7803, 236787, 10847, 172891, 16785, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 47986, 236832, 236828, 236819, 62902, 138, 107, 139, 236829, 18842, 63508, 40396, 7803, 19839, 568, 236778, 236770, 236771, 236855, 8208, 236764, 236743, 236770, 236812, 236787, 236778, 236771, 236768, 138, 107, 139, 48604, 14728, 1217, 135312, 236789, 236751, 2748, 529, 52248, 2214, 580, 1813, 28700, 1131, 4532, 15408, 1702, 573, 11756, 236764, 17282, 236772, 127758, 5552, 18567, 236761, 108, 9208, 10103, 10916, 3421, 506, 8330, 10217, 611, 6950, 568, 3001, 66051, 236764, 2214, 37226, 769, 669, 40396, 7803, 19839, 2948, 7412, 531, 735, 506, 1346, 9813, 3671, 529, 2214, 8403, 236761, 21284, 611, 1133, 1601, 61872, 3530, 1702, 12466, 699, 1239, 7021, 653, 26614, 35381, 1131, 496, 11048, 236772, 2788, 6518, 236881, 106, 107, 105, 2364, 107, 818, 40396, 7803, 19839, 2948, 236858, 236751, 3213, 580, 2214, 37226, 12054, 4011, 573, 61790, 1217, 135312, 236858, 236751, 8403, 17866, 531, 5552, 981, 236761, 28344, 611, 8430, 2307, 3298, 699, 600, 2948, 236858, 236751, 6492, 653, 22167, 568, 584, 2487, 236768, 1003, 3530, 15408, 4615, 13696, 684, 506, 7768, 46686, 695, 236881, 1701, 2591, 236764, 1217, 24316, 1161, 52248, 14581, 653, 2258, 129185, 531, 62611, 914, 623, 37504, 2214, 236775, 4518, 236761, 1637, 951, 22167, 7519, 236764, 8229, 3600, 1217, 564, 2473, 3904, 672, 3336, 529, 1041, 11048, 1699, 1610, 236772, 124977, 3671, 6436, 236881, 564, 236858, 236753, 2765, 531, 14806, 672, 531, 10231, 1076, 236772, 20593, 8698, 236764, 1133, 1699, 89820, 40860, 653, 14270, 47300, 236761, 106, 107, 105, 4368, 107, 10081, 506, 5904, 3072, 3782, 236858, 236745, 3204, 496, 22167, 653, 9813, 6492, 529, 506, 40396, 7803, 19839, 2948, 236764, 564, 236858, 859, 96691, 2307, 3298, 2721, 580, 6697, 1610, 236772, 124977, 44362, 532, 10231, 1702, 12466, 13696, 684, 135312, 236858, 236751, 808, 17390, 46686, 695, 22429, 5715, 236858, 236751, 1217, 611, 1451, 3904, 672, 3336, 236787, 108, 7243, 108, 10354, 5213, 3503, 36526, 236787, 10847, 172891, 88970, 684, 135312, 236858, 236751, 623, 103185, 10847, 236775, 1018, 107, 2595, 568, 35221, 573, 62720, 236768, 107, 236770, 236761, 5213, 7166, 138081, 165494, 618, 623, 58106, 3199, 236766, 1780, 236775, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 82068, 66515, 42674, 524, 16078, 124288, 531, 12203, 1813, 236858, 236751, 52248, 3325, 236761, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 6890, 100588, 19509, 236764, 59448, 6413, 53032, 236764, 653, 93617, 40860, 531, 7495, 5552, 11544, 236764, 7107, 10795, 236764, 34064, 9935, 64506, 531, 135312, 236858, 236751, 112661, 236761, 138, 107, 139, 236772, 5213, 12703, 66515, 669, 236743, 236778, 236771, 236770, 236828, 3719, 529, 808, 818, 206857, 236829, 657, 506, 12194, 36951, 6503, 1456, 52248, 36513, 155082, 531, 14701, 14270, 35719, 236764, 161887, 135312, 236858, 236751, 91595, 529, 2214, 532, 1813, 236761, 108, 236778, 236761, 5213, 3484, 42674, 522, 573, 92628, 69934, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 45750, 66515, 74292, 236772, 3001, 9939, 568, 6686, 903, 670, 8793, 39435, 66418, 236768, 531, 43928, 3756, 2214, 236761, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 7178, 188536, 89820, 157672, 236751, 568, 236744, 236761, 236759, 1126, 27373, 653, 118555, 236768, 10035, 684, 46174, 14270, 34267, 531, 22064, 7913, 79540, 236764, 31983, 31084, 37676, 236761, 138, 107, 139, 236772, 5213, 7741, 66515, 73863, 506, 5213, 236775, 23790, 2636, 617, 26209, 236775, 1996, 1018, 568, 190605, 528, 808, 33032, 7803, 63919, 30237, 236743, 236778, 236771, 236778, 236771, 779, 1298, 58279, 529, 16128, 72542, 2619, 8744, 1343, 53091, 2214, 14608, 236761, 108, 236800, 236761, 5213, 50327, 10847, 2761, 41571, 573, 59759, 211744, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 32237, 66515, 30476, 1415, 32308, 2214, 568, 236744, 236761, 236759, 1126, 38306, 531, 85083, 528, 3605, 25687, 769, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 81467, 742, 14270, 47300, 568, 236744, 236761, 236759, 1126, 73601, 8040, 236855, 33209, 236768, 531, 8633, 66418, 18380, 236764, 228116, 13690, 71286, 236761, 138, 107, 139, 236772, 5213, 12703, 66515, 669, 34033, 54761, 529, 808, 96711, 236829, 568, 236778, 236771, 236770, 236828, 236768, 1456, 5111, 3730, 236772, 1071, 236772, 22278, 2214, 25477, 531, 14701, 135312, 236858, 236751, 98249, 19077, 18583, 236761, 108, 236812, 236761, 5213, 63702, 13510, 532, 623, 2805, 30184, 236775, 28301, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 21072, 66515, 113745, 14453, 532, 1932, 9637, 236761, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 6890, 529, 32533, 585, 568, 540, 923, 3002, 2214, 35719, 236768, 531, 6171, 3538, 236764, 14077, 37676, 236764, 10678, 28675, 531, 623, 17302, 236775, 506, 8317, 36538, 5748, 236761, 108, 7243, 108, 10354, 5213, 9175, 236772, 100368, 13768, 36376, 1018, 107, 236770, 236761, 5213, 126651, 13768, 66515, 44906, 135312, 236858, 236751, 16078, 2025, 531, 14270, 2214, 129185, 568, 236744, 236761, 236759, 1126, 623, 3910, 22308, 774, 2214, 136759, 11207, 236772, 3001, 9939, 4248, 138, 107, 236778, 236761, 5213, 163447, 15316, 16785, 66515, 131828, 496, 6672, 21179, 1076, 607, 496, 135312, 236772, 52728, 886, 568, 236744, 236761, 236759, 1126, 808, 4967, 53794, 127571, 236829, 7728, 236761, 496, 4532, 808, 236791, 713, 236859, 527, 1008, 154067, 511, 12188, 236829, 3719, 1699, 1813, 73554, 59491, 769, 138, 107, 236800, 236761, 5213, 32663, 17690, 43645, 66515, 56892, 135312, 236858, 236751, 11739, 6791, 236777, 6554, 1144, 564, 1460, 236764, 711, 1144, 564, 1281, 1373, 531, 22165, 573, 38990, 236764, 43206, 236772, 27612, 1702, 236761, 138, 108, 7243, 108, 10354, 5213, 121435, 134400, 45914, 1018, 107, 236772, 5213, 101457, 52971, 66515, 8754, 496, 2678, 236772, 2003, 236772, 2897, 61931, 1699, 496, 1944, 1813, 39569, 607, 14270, 34267, 25038, 531, 43928, 52248, 2214, 236761, 138, 107, 236772, 5213, 20216, 45179, 66515, 136066, 496, 135312, 1813, 73554, 11710, 8990, 496, 5552, 6210, 568, 236744, 236761, 236759, 1126, 1699, 50929, 236768, 531, 8357, 183430, 89560, 236761, 138, 108, 38786, 611, 1133, 1601, 68657, 1027, 529, 1239, 14485, 1131, 23353, 653, 73476, 4767, 8698, 529, 10772, 600, 1161, 118340, 617, 236772, 52728, 1702, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11048, 573, 1041, 3399, 25922, 2299, 1003, 7830, 1610, 236789, 236751, 7630, 580, 4532, 1076, 1702, 236764, 532, 564, 236789, 236753, 2765, 531, 3204, 1070, 35381, 699, 111555, 1003, 135312, 236789, 236751, 1813, 133842, 236761, 28344, 611, 3927, 8582, 573, 111555, 600, 3249, 135312, 236789, 236751, 1813, 133842, 532, 910, 4100, 580, 1610, 236881, 1637, 2653, 236764, 5957, 506, 2536, 531, 5422, 5192, 532, 3640, 4184, 4128, 236761, 564, 5630, 9333, 496, 1822, 886, 657, 506, 9427, 1774, 1051, 840, 1093, 5278, 531, 1586, 2613, 2487, 3489, 672, 990, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40232, 1083, 78493, 3250, 1083, 623, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 562, 88459, 29288, 753, 4585, 121394, 827, 623, 2451, 1083, 623, 2574, 1411, 55871, 236761, 1553, 236786, 236917, 236810, 124394, 236935, 236825, 197428, 236855, 65299, 827, 623, 7777, 1083, 623, 20647, 2985, 1217, 135312, 236789, 236751, 7768, 46686, 695, 3605, 171983, 4532, 1610, 532, 21202, 236743, 236778, 236771, 594, 236772, 33201, 7426, 5619, 10498, 623, 19859, 1083, 623, 501, 827, 623, 13647, 1083, 623, 605, 827, 623, 13084, 1083, 623, 236770, 236761, 236778, 236792, 827, 623, 12027, 1083, 623, 9175, 10358, 10950, 23179, 3714, 3250, 1083, 623, 818, 8136, 19871, 236787, 135312, 236789, 236751, 667, 2281, 1920, 532, 506, 7768, 46686, 695, 753, 23372, 121394, 827, 623, 2451, 1083, 623, 2574, 1411, 55871, 236761, 1553, 236786, 236819, 236824, 5338, 20074, 236766, 236806, 236778, 236759, 236874, 827, 623, 7777, 1083, 623, 179433, 531, 135312, 236789, 236751, 7972, 528, 667, 2281, 1920, 532, 3671, 529, 506, 7768, 46686, 695, 236789, 4100, 580, 16236, 1076, 1702, 10498, 623, 19859, 1083, 623, 501, 827, 623, 13647, 1083, 623, 605, 827, 623, 13084, 1083, 623, 236828, 236819, 236771, 236855, 827, 623, 12027, 1083, 623, 78692, 14822, 23179, 3714, 3250, 1083, 623, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 45004, 506, 14232, 17884, 753, 13806, 4585, 13768, 827, 623, 2451, 1083, 623, 2574, 1411, 55871, 236761, 1553, 236786, 236800, 51072, 236796, 4012, 236874, 236766, 93130, 236792, 827, 623, 7777, 1083, 623, 154572, 507, 89560, 1534, 135312, 236789, 236751, 18358, 617, 8403, 532, 4532, 5177, 1610, 6182, 528, 25922, 1702, 10498, 623, 19859, 1083, 623, 501, 827, 623, 13647, 1083, 623, 605, 827, 623, 13084, 1083, 623, 236812, 236810, 236771, 236855, 827, 623, 12027, 1083, 623, 32106, 4585, 7955, 25938, 1604, 623, 13647, 1083, 623, 27211, 4184, 827, 623, 19859, 1083, 623, 27832, 827, 623, 3278, 1083, 623, 10505, 536, 1813, 133842, 32165, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1806, 32165, 3835, 600, 1451, 14051, 822, 11048, 1003, 135312, 236789, 236751, 7630, 580, 4532, 1076, 1702, 236787, 108, 236770, 236761, 5213, 236840, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 562, 88459, 29288, 5457, 2574, 1411, 55871, 236761, 1553, 236786, 236917, 236810, 124394, 236935, 236825, 197428, 236855, 65299, 62902, 138, 107, 139, 236829, 18842, 63508, 4585, 10358, 10950, 568, 236770, 236761, 236778, 236792, 8208, 236768, 138, 107, 139, 15354, 507, 580, 1217, 135312, 236789, 236751, 3605, 171983, 4532, 1610, 532, 21735, 236743, 236778, 236771, 594, 236772, 33201, 7426, 5619, 236761, 77023, 573, 18024, 118340, 1929, 531, 25898, 25075, 18560, 236761, 108, 236778, 236761, 5213, 236840, 818, 8136, 19871, 236787, 135312, 236789, 236751, 667, 2281, 1920, 5457, 2574, 1411, 55871, 236761, 1553, 236786, 236819, 236824, 5338, 20074, 236766, 236806, 236778, 236759, 236874, 62902, 138, 107, 139, 236829, 18842, 63508, 23372, 14822, 568, 236828, 236819, 236771, 236855, 8208, 236768, 138, 107, 139, 20647, 2985, 135312, 236789, 236751, 7972, 532, 25010, 23948, 914, 7768, 46686, 695, 531, 16236, 1076, 1702, 12466, 236761, 27717, 1982, 36787, 531, 822, 10562, 236761, 108, 236800, 236761, 5213, 236840, 10505, 536, 236789, 236751, 7768, 46686, 695, 236787, 45004, 506, 14232, 17884, 5457, 2574, 1411, 55871, 236761, 1553, 236786, 236800, 51072, 236796, 4012, 236874, 236766, 93130, 236792, 62902, 138, 107, 139, 236829, 18842, 63508, 14232, 4585, 7955, 568, 236812, 236810, 236771, 236855, 8208, 236768, 138, 107, 139, 14575, 236751, 89560, 1534, 135312, 236789, 236751, 8403, 532, 4532, 5177, 1610, 6182, 528, 25922, 236764, 7436, 573, 6807, 11858, 236772, 1071, 236772, 30466, 25477, 236761, 108, 3243, 2536, 659, 5422, 236772, 19859, 10103, 158725, 2487, 528, 506, 749, 236761, 236773, 236761, 21284, 611, 1133, 1601, 32187, 3530, 10217, 529, 1239, 111555, 653, 68657, 506, 3927, 3342, 236881, 106, 107, 105, 2364, 107, 818, 32165, 699, 23372, 14822, 1003, 135312, 236789, 236751, 667, 2281, 1920, 12054, 6412, 7798, 236761, 28344, 611, 3927, 1570, 1699, 506, 30136, 623, 10505, 536, 667, 2281, 1920, 25922, 1076, 1702, 236775, 531, 1586, 919, 10317, 20875, 653, 4767, 10103, 600, 25010, 3249, 1217, 914, 7972, 532, 1813, 133842, 21202, 5552, 1702, 12466, 236881, 564, 236789, 236753, 2765, 531, 8357, 3530, 8403, 1133, 2258, 66051, 653, 2214, 37226, 600, 1076, 24316, 2473, 7535, 236761, 3792, 236858, 236751, 2514, 506, 5422, 236786, 3118, 18774, 5158, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40232, 1083, 78493, 3250, 1083, 623, 10505, 536, 236789, 236751, 667, 2281, 1920, 236787, 669, 19871, 2981, 88970, 32079, 7803, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 827, 623, 19001, 1083, 623, 236770, 236778, 236787, 236812, 236810, 827, 623, 13084, 1083, 623, 236770, 236810, 236771, 236855, 827, 623, 12027, 1083, 623, 78692, 14822, 23179, 3714, 3250, 1083, 623, 3484, 2376, 2669, 57939, 699, 135312, 531, 13806, 40396, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 827, 623, 19001, 1083, 623, 236819, 236787, 236800, 236771, 827, 623, 13084, 1083, 623, 236828, 236819, 236855, 827, 623, 12027, 1083, 623, 9175, 7955, 103154, 23179, 3714, 3250, 1083, 623, 17390, 46686, 695, 833, 32079, 7803, 236787, 562, 16785, 528, 10847, 172891, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 47986, 236832, 236828, 236819, 827, 623, 19001, 1083, 623, 236770, 236812, 236787, 236778, 236771, 827, 623, 13084, 1083, 623, 236778, 236770, 236771, 236855, 827, 623, 12027, 1083, 623, 202989, 7803, 19839, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 1083, 623, 10505, 536, 667, 2281, 1920, 25922, 1076, 1702, 827, 623, 10910, 1083, 623, 501, 827, 623, 3626, 1083, 623, 605, 827, 623, 2305, 236779, 2289, 236779, 27297, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1806, 15152, 1765, 5405, 600, 5467, 3371, 135312, 236789, 236751, 667, 2281, 1920, 7972, 531, 25922, 1076, 1702, 12466, 236787, 108, 236770, 236761, 5213, 236840, 10505, 536, 236789, 236751, 667, 2281, 1920, 236787, 669, 19871, 2981, 88970, 32079, 7803, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 62902, 138, 107, 139, 236829, 18842, 63508, 23372, 14822, 568, 236770, 236810, 236771, 236855, 8208, 236764, 236743, 236770, 236778, 236787, 236812, 236810, 236768, 138, 107, 139, 20647, 2985, 1217, 506, 7972, 236789, 236751, 11273, 532, 1813, 73554, 62262, 21202, 17864, 9637, 528, 4532, 25922, 7093, 236761, 169931, 5132, 10231, 8698, 699, 506, 23372, 236789, 236751, 3527, 32165, 3605, 236761, 108, 236778, 236761, 5213, 236840, 3484, 2376, 2669, 57939, 699, 135312, 531, 13806, 40396, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 62902, 138, 107, 139, 236829, 18842, 63508, 4585, 7955, 103154, 568, 236828, 236819, 236855, 8208, 236764, 236743, 236819, 236787, 236800, 236771, 236768, 138, 107, 139, 15354, 507, 580, 135312, 236789, 236751, 11207, 236772, 3001, 9939, 532, 1061, 29140, 1131, 68367, 25079, 11710, 531, 2619, 26536, 8744, 2180, 31084, 51749, 236761, 108, 236800, 236761, 5213, 236840, 17390, 46686, 695, 833, 32079, 7803, 236787, 10847, 172891, 16785, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 47986, 236832, 236828, 236819, 62902, 138, 107, 139, 236829, 18842, 63508, 40396, 7803, 19839, 568, 236778, 236770, 236771, 236855, 8208, 236764, 236743, 236770, 236812, 236787, 236778, 236771, 236768, 138, 107, 139, 48604, 14728, 1217, 135312, 236789, 236751, 2748, 529, 52248, 2214, 580, 1813, 28700, 1131, 4532, 15408, 1702, 573, 11756, 236764, 17282, 236772, 127758, 5552, 18567, 236761, 108, 9208, 10103, 10916, 3421, 506, 8330, 10217, 611, 6950, 568, 3001, 66051, 236764, 2214, 37226, 769, 669, 40396, 7803, 19839, 2948, 7412, 531, 735, 506, 1346, 9813, 3671, 529, 2214, 8403, 236761, 21284, 611, 1133, 1601, 61872, 3530, 1702, 12466, 699, 1239, 7021, 653, 26614, 35381, 1131, 496, 11048, 236772, 2788, 6518, 236881, 106, 107, 105, 2364, 107, 818, 40396, 7803, 19839, 2948, 236858, 236751, 3213, 580, 2214, 37226, 12054, 4011, 573, 61790, 1217, 135312, 236858, 236751, 8403, 17866, 531, 5552, 981, 236761, 28344, 611, 8430, 2307, 3298, 699, 600, 2948, 236858, 236751, 6492, 653, 22167, 568, 584, 2487, 236768, 1003, 3530, 15408, 4615, 13696, 684, 506, 7768, 46686, 695, 236881, 1701, 2591, 236764, 1217, 24316, 1161, 52248, 14581, 653, 2258, 129185, 531, 62611, 914, 623, 37504, 2214, 236775, 4518, 236761, 1637, 951, 22167, 7519, 236764, 8229, 3600, 1217, 564, 2473, 3904, 672, 3336, 529, 1041, 11048, 1699, 1610, 236772, 124977, 3671, 6436, 236881, 564, 236858, 236753, 2765, 531, 14806, 672, 531, 10231, 1076, 236772, 20593, 8698, 236764, 1133, 1699, 89820, 40860, 653, 14270, 47300, 236761, 106, 107, 105, 4368, 107, 10081, 506, 5904, 3072, 3782, 236858, 236745, 3204, 496, 22167, 653, 9813, 6492, 529, 506, 40396, 7803, 19839, 2948, 236764, 564, 236858, 859, 96691, 2307, 3298, 2721, 580, 6697, 1610, 236772, 124977, 44362, 532, 10231, 1702, 12466, 13696, 684, 135312, 236858, 236751, 808, 17390, 46686, 695, 22429, 5715, 236858, 236751, 1217, 611, 1451, 3904, 672, 3336, 236787, 108, 7243, 108, 10354, 5213, 3503, 36526, 236787, 10847, 172891, 88970, 684, 135312, 236858, 236751, 623, 103185, 10847, 236775, 1018, 107, 2595, 568, 35221, 573, 62720, 236768, 107, 236770, 236761, 5213, 7166, 138081, 165494, 618, 623, 58106, 3199, 236766, 1780, 236775, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 82068, 66515, 42674, 524, 16078, 124288, 531, 12203, 1813, 236858, 236751, 52248, 3325, 236761, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 6890, 100588, 19509, 236764, 59448, 6413, 53032, 236764, 653, 93617, 40860, 531, 7495, 5552, 11544, 236764, 7107, 10795, 236764, 34064, 9935, 64506, 531, 135312, 236858, 236751, 112661, 236761, 138, 107, 139, 236772, 5213, 12703, 66515, 669, 236743, 236778, 236771, 236770, 236828, 3719, 529, 808, 818, 206857, 236829, 657, 506, 12194, 36951, 6503, 1456, 52248, 36513, 155082, 531, 14701, 14270, 35719, 236764, 161887, 135312, 236858, 236751, 91595, 529, 2214, 532, 1813, 236761, 108, 236778, 236761, 5213, 3484, 42674, 522, 573, 92628, 69934, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 45750, 66515, 74292, 236772, 3001, 9939, 568, 6686, 903, 670, 8793, 39435, 66418, 236768, 531, 43928, 3756, 2214, 236761, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 7178, 188536, 89820, 157672, 236751, 568, 236744, 236761, 236759, 1126, 27373, 653, 118555, 236768, 10035, 684, 46174, 14270, 34267, 531, 22064, 7913, 79540, 236764, 31983, 31084, 37676, 236761, 138, 107, 139, 236772, 5213, 7741, 66515, 73863, 506, 5213, 236775, 23790, 2636, 617, 26209, 236775, 1996, 1018, 568, 190605, 528, 808, 33032, 7803, 63919, 30237, 236743, 236778, 236771, 236778, 236771, 779, 1298, 58279, 529, 16128, 72542, 2619, 8744, 1343, 53091, 2214, 14608, 236761, 108, 236800, 236761, 5213, 50327, 10847, 2761, 41571, 573, 59759, 211744, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 32237, 66515, 30476, 1415, 32308, 2214, 568, 236744, 236761, 236759, 1126, 38306, 531, 85083, 528, 3605, 25687, 769, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 81467, 742, 14270, 47300, 568, 236744, 236761, 236759, 1126, 73601, 8040, 236855, 33209, 236768, 531, 8633, 66418, 18380, 236764, 228116, 13690, 71286, 236761, 138, 107, 139, 236772, 5213, 12703, 66515, 669, 34033, 54761, 529, 808, 96711, 236829, 568, 236778, 236771, 236770, 236828, 236768, 1456, 5111, 3730, 236772, 1071, 236772, 22278, 2214, 25477, 531, 14701, 135312, 236858, 236751, 98249, 19077, 18583, 236761, 108, 236812, 236761, 5213, 63702, 13510, 532, 623, 2805, 30184, 236775, 28301, 1018, 138, 107, 139, 236772, 5213, 10505, 536, 236858, 236751, 21072, 66515, 113745, 14453, 532, 1932, 9637, 236761, 138, 107, 139, 236772, 5213, 33032, 52338, 66515, 6890, 529, 32533, 585, 568, 540, 923, 3002, 2214, 35719, 236768, 531, 6171, 3538, 236764, 14077, 37676, 236764, 10678, 28675, 531, 623, 17302, 236775, 506, 8317, 36538, 5748, 236761, 108, 7243, 108, 10354, 5213, 9175, 236772, 100368, 13768, 36376, 1018, 107, 236770, 236761, 5213, 126651, 13768, 66515, 44906, 135312, 236858, 236751, 16078, 2025, 531, 14270, 2214, 129185, 568, 236744, 236761, 236759, 1126, 623, 3910, 22308, 774, 2214, 136759, 11207, 236772, 3001, 9939, 4248, 138, 107, 236778, 236761, 5213, 163447, 15316, 16785, 66515, 131828, 496, 6672, 21179, 1076, 607, 496, 135312, 236772, 52728, 886, 568, 236744, 236761, 236759, 1126, 808, 4967, 53794, 127571, 236829, 7728, 236761, 496, 4532, 808, 236791, 713, 236859, 527, 1008, 154067, 511, 12188, 236829, 3719, 1699, 1813, 73554, 59491, 769, 138, 107, 236800, 236761, 5213, 32663, 17690, 43645, 66515, 56892, 135312, 236858, 236751, 11739, 6791, 236777, 6554, 1144, 564, 1460, 236764, 711, 1144, 564, 1281, 1373, 531, 22165, 573, 38990, 236764, 43206, 236772, 27612, 1702, 236761, 138, 108, 7243, 108, 10354, 5213, 121435, 134400, 45914, 1018, 107, 236772, 5213, 101457, 52971, 66515, 8754, 496, 2678, 236772, 2003, 236772, 2897, 61931, 1699, 496, 1944, 1813, 39569, 607, 14270, 34267, 25038, 531, 43928, 52248, 2214, 236761, 138, 107, 236772, 5213, 20216, 45179, 66515, 136066, 496, 135312, 1813, 73554, 11710, 8990, 496, 5552, 6210, 568, 236744, 236761, 236759, 1126, 1699, 50929, 236768, 531, 8357, 183430, 89560, 236761, 138, 108, 38786, 611, 1133, 1601, 68657, 1027, 529, 1239, 14485, 1131, 23353, 653, 73476, 4767, 8698, 529, 10772, 600, 1161, 118340, 617, 236772, 52728, 1702, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 784, 1041, 16038, 14626, 4749, 573, 506, 2148, 236743, 236819, 236771, 2668, 531, 16422, 4698, 4122, 14845, 236761, 28344, 611, 33205, 600, 1694, 573, 786, 236881, 564, 1461, 531, 1386, 2889, 506, 14069, 1537, 236789, 236745, 12160, 607, 1023, 10940, 5886, 10368, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 4749, 4596, 531, 10969, 3997, 13721, 236764, 564, 1202, 531, 56856, 1724, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 36560, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 3250, 1083, 623, 236935, 236778, 19987, 8813, 34428, 25780, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 23179, 3714, 5106, 236779, 547, 1083, 623, 36560, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 827, 623, 3250, 1083, 623, 20163, 14073, 19987, 36485, 65161, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 30542, 1280, 23179, 3714, 5106, 236779, 547, 1083, 623, 1393, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 3250, 1083, 623, 27286, 10765, 17263, 753, 36475, 54567, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 25938, 1604, 623, 53298, 1083, 3714, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236770, 236771, 236771, 1263, 623, 28881, 236779, 103411, 1083, 3714, 2289, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 4818, 1083, 623, 170194, 827, 623, 3278, 1083, 623, 93855, 3997, 13721, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 1694, 529, 16038, 14626, 4749, 573, 506, 2148, 236743, 236819, 236771, 2668, 236764, 607, 10969, 3997, 13721, 124406, 236787, 108, 1018, 98472, 8813, 85357, 53121, 107, 236770, 236761, 5213, 236935, 236778, 19987, 8813, 34428, 25780, 1018, 138, 107, 139, 249460, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 138, 107, 139, 249642, 13810, 8593, 138, 107, 139, 236829, 3500, 5853, 236787, 25543, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236829, 108, 236778, 236761, 5213, 20163, 14073, 19987, 36485, 65161, 1018, 138, 107, 139, 249460, 3353, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236800, 236787, 236800, 236771, 8711, 138, 107, 139, 249654, 76957, 1280, 138, 107, 139, 236829, 3500, 5853, 236787, 25543, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236829, 108, 1018, 13517, 12209, 53121, 138, 107, 237213, 16234, 10765, 17263, 753, 36475, 54567, 568, 30651, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 573, 28847, 607, 822, 10940, 5886, 10368, 236881, 138, 107, 236778, 236761, 4987, 919, 4889, 1003, 1027, 3530, 2460, 236881, 138, 107, 236800, 236761, 12579, 26241, 4981, 573, 1027, 4749, 236881, 138, 108, 236820, 18220, 236813, 138, 107, 236829, 3048, 740, 1161, 506, 2165, 5106, 102537, 236929, 5904, 531, 4610, 26241, 4981, 236764, 653, 2864, 4767, 2460, 4889, 236829, 138, 107, 954, 18220, 236813, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 784, 1041, 16038, 14626, 4749, 573, 506, 2148, 236743, 236819, 236771, 2668, 531, 16422, 4698, 4122, 14845, 236761, 28344, 611, 33205, 600, 1694, 573, 786, 236881, 564, 1461, 531, 1386, 2889, 506, 14069, 1537, 236789, 236745, 12160, 607, 1023, 10940, 5886, 10368, 236761, 7062, 236764, 532, 768, 993, 659, 1027, 4749, 4596, 531, 10969, 3997, 13721, 236764, 564, 1202, 531, 56856, 1724, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 5106, 236779, 547, 1083, 623, 36560, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 3250, 1083, 623, 236935, 236778, 19987, 8813, 34428, 25780, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 23179, 3714, 5106, 236779, 547, 1083, 623, 36560, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 827, 623, 3250, 1083, 623, 20163, 14073, 19987, 36485, 65161, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 30542, 1280, 23179, 3714, 5106, 236779, 547, 1083, 623, 1393, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 3250, 1083, 623, 27286, 10765, 17263, 753, 36475, 54567, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 25938, 1604, 623, 53298, 1083, 3714, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236770, 236771, 236771, 1263, 623, 28881, 236779, 103411, 1083, 3714, 2289, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 4818, 1083, 623, 170194, 827, 623, 3278, 1083, 623, 93855, 3997, 13721, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 1694, 529, 16038, 14626, 4749, 573, 506, 2148, 236743, 236819, 236771, 2668, 236764, 607, 10969, 3997, 13721, 124406, 236787, 108, 1018, 98472, 8813, 85357, 53121, 107, 236770, 236761, 5213, 236935, 236778, 19987, 8813, 34428, 25780, 1018, 138, 107, 139, 249460, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 138, 107, 139, 249642, 13810, 8593, 138, 107, 139, 236829, 3500, 5853, 236787, 25543, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236829, 108, 236778, 236761, 5213, 20163, 14073, 19987, 36485, 65161, 1018, 138, 107, 139, 249460, 3353, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236800, 236787, 236800, 236771, 8711, 138, 107, 139, 249654, 76957, 1280, 138, 107, 139, 236829, 3500, 5853, 236787, 25543, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236829, 108, 1018, 13517, 12209, 53121, 138, 107, 237213, 16234, 10765, 17263, 753, 36475, 54567, 568, 30651, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 573, 28847, 607, 822, 10940, 5886, 10368, 236881, 138, 107, 236778, 236761, 4987, 919, 4889, 1003, 1027, 3530, 2460, 236881, 138, 107, 236800, 236761, 12579, 26241, 4981, 573, 1027, 4749, 236881, 138, 108, 236820, 18220, 236813, 138, 107, 236829, 3048, 740, 1161, 506, 2165, 5106, 102537, 236929, 5904, 531, 4610, 26241, 4981, 236764, 653, 2864, 4767, 2460, 4889, 236829, 138, 107, 954, 18220, 236813, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 4253, 614, 11690, 1610, 19520, 528, 146545, 2148, 2297, 532, 1461, 531, 3421, 3435, 5646, 10928, 236761, 28344, 611, 2426, 4803, 54226, 4588, 528, 7151, 236881, 39799, 236764, 564, 236789, 236753, 1133, 531, 1281, 768, 993, 735, 1010, 1027, 70444, 2351, 236743, 236770, 236771, 236771, 7635, 529, 56183, 528, 506, 1774, 236743, 236800, 236771, 2668, 236764, 910, 81938, 236764, 532, 3363, 901, 10128, 4869, 4652, 573, 3402, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40717, 171693, 1083, 78493, 2289, 236779, 101696, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236810, 236810, 236778, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236828, 236819, 236764, 623, 117186, 1083, 236743, 236812, 236761, 236828, 236764, 623, 15104, 236779, 11375, 1083, 236743, 236828, 236761, 236832, 236764, 623, 7125, 1083, 623, 64572, 56183, 236764, 8253, 23179, 3714, 2289, 236779, 101696, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236828, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236812, 236778, 236953, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236825, 236770, 236800, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236810, 236800, 236778, 236764, 623, 117186, 1083, 236743, 236810, 236761, 236770, 236764, 623, 15104, 236779, 11375, 1083, 236743, 236770, 236778, 236761, 236800, 236764, 623, 7125, 1083, 623, 166643, 78148, 36837, 236764, 8253, 23179, 3714, 2289, 236779, 101696, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236778, 236787, 236771, 236832, 236787, 236800, 236800, 236953, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236812, 236819, 236828, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236770, 236770, 236764, 623, 117186, 1083, 236743, 236812, 236761, 236825, 236764, 623, 15104, 236779, 11375, 1083, 236743, 236770, 236828, 236761, 236819, 236764, 623, 7125, 1083, 623, 23425, 56183, 5796, 236764, 8253, 25938, 1604, 623, 28263, 1083, 3714, 6011, 1083, 623, 19765, 70444, 9941, 2351, 236743, 236810, 236771, 7635, 529, 56183, 1913, 506, 15633, 2846, 236761, 30866, 16511, 45583, 699, 236743, 236812, 236761, 236825, 531, 236743, 236810, 236761, 236770, 236761, 2301, 3629, 53136, 219299, 9935, 653, 28322, 54226, 2353, 29103, 13207, 10498, 623, 37716, 236779, 86546, 1083, 623, 15585, 1695, 155690, 8758, 573, 506, 4128, 236761, 2301, 13258, 4869, 4652, 573, 6268, 4749, 13207, 236761, 13029, 5646, 47989, 10325, 573, 11690, 4749, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 54226, 4588, 2072, 573, 506, 56183, 2433, 1024, 506, 3068, 236743, 236800, 236771, 2668, 236787, 108, 1018, 47619, 10824, 171693, 568, 49426, 236743, 236810, 236771, 7635, 529, 56183, 1473, 1018, 107, 236770, 236761, 5213, 27393, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 139, 236772, 196097, 236787, 236743, 236812, 236761, 236828, 138, 107, 139, 236772, 69934, 236787, 236743, 236828, 236761, 236832, 7251, 138, 107, 139, 236772, 21617, 236787, 25634, 56183, 236764, 8253, 138, 108, 236778, 236761, 5213, 27393, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 139, 236772, 196097, 236787, 236743, 236810, 236761, 236770, 568, 56462, 528, 146545, 236768, 138, 107, 139, 236772, 69934, 236787, 236743, 236770, 236778, 236761, 236800, 7251, 138, 107, 139, 236772, 21617, 236787, 146545, 36837, 236764, 8253, 138, 108, 236800, 236761, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 139, 236772, 196097, 236787, 236743, 236812, 236761, 236825, 138, 107, 139, 236772, 69934, 236787, 236743, 236770, 236828, 236761, 236819, 7251, 138, 107, 139, 236772, 21617, 236787, 4257, 56183, 5796, 236764, 8253, 138, 108, 1018, 71398, 13768, 53121, 138, 107, 236772, 2301, 18420, 54226, 9935, 568, 236744, 236761, 236759, 1126, 2353, 29103, 653, 53136, 236754, 9127, 236768, 964, 13207, 236761, 138, 107, 236772, 23195, 100146, 607, 3867, 1695, 4535, 573, 506, 4128, 236761, 138, 107, 236772, 5213, 71398, 16575, 53121, 14533, 568, 1904, 25779, 529, 4869, 4652, 573, 6268, 70444, 769, 138, 108, 1018, 201430, 573, 5180, 12209, 53121, 138, 107, 236770, 236761, 57843, 11690, 1610, 35490, 532, 9108, 531, 44411, 9875, 3866, 39384, 568, 236744, 236761, 236759, 1126, 1699, 14887, 73408, 769, 138, 107, 236778, 236761, 6521, 614, 11996, 2731, 573, 40303, 568, 236744, 236761, 236759, 1126, 71539, 16266, 236764, 1171, 11278, 14996, 769, 138, 107, 236800, 236761, 26295, 1759, 236772, 2289, 54226, 12496, 4323, 506, 870, 3118, 15683, 623, 15562, 1599, 43213, 1030, 236881, 1935, 236769, 2574, 1411, 40717, 81539, 236761, 605, 6174, 236761, 12561, 236786, 5865, 13268, 31004, 1458, 12532, 531, 506, 2460, 3433, 236761, 138, 108, 38786, 611, 1133, 4767, 14984, 580, 38073, 100181, 573, 11690, 4749, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 4253, 614, 11690, 1610, 19520, 528, 146545, 2148, 2297, 532, 1461, 531, 3421, 3435, 5646, 10928, 236761, 28344, 611, 2426, 4803, 54226, 4588, 528, 7151, 236881, 39799, 236764, 564, 236789, 236753, 1133, 531, 1281, 768, 993, 735, 1010, 1027, 70444, 2351, 236743, 236770, 236771, 236771, 7635, 529, 56183, 528, 506, 1774, 236743, 236800, 236771, 2668, 236764, 910, 81938, 236764, 532, 3363, 901, 10128, 4869, 4652, 573, 3402, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40717, 171693, 1083, 78493, 2289, 236779, 101696, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236810, 236810, 236778, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236828, 236819, 236764, 623, 117186, 1083, 236743, 236812, 236761, 236828, 236764, 623, 15104, 236779, 11375, 1083, 236743, 236828, 236761, 236832, 236764, 623, 7125, 1083, 623, 64572, 56183, 236764, 8253, 23179, 3714, 2289, 236779, 101696, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236828, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236812, 236778, 236953, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236825, 236770, 236800, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236810, 236800, 236778, 236764, 623, 117186, 1083, 236743, 236810, 236761, 236770, 236764, 623, 15104, 236779, 11375, 1083, 236743, 236770, 236778, 236761, 236800, 236764, 623, 7125, 1083, 623, 166643, 78148, 36837, 236764, 8253, 23179, 3714, 2289, 236779, 101696, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236778, 236787, 236771, 236832, 236787, 236800, 236800, 236953, 827, 623, 37673, 1083, 236743, 236800, 236828, 236761, 236812, 236819, 236828, 236764, 623, 41713, 1083, 753, 236770, 236778, 236770, 236761, 236812, 236770, 236770, 236764, 623, 117186, 1083, 236743, 236812, 236761, 236825, 236764, 623, 15104, 236779, 11375, 1083, 236743, 236770, 236828, 236761, 236819, 236764, 623, 7125, 1083, 623, 23425, 56183, 5796, 236764, 8253, 25938, 1604, 623, 28263, 1083, 3714, 6011, 1083, 623, 19765, 70444, 9941, 2351, 236743, 236810, 236771, 7635, 529, 56183, 1913, 506, 15633, 2846, 236761, 30866, 16511, 45583, 699, 236743, 236812, 236761, 236825, 531, 236743, 236810, 236761, 236770, 236761, 2301, 3629, 53136, 219299, 9935, 653, 28322, 54226, 2353, 29103, 13207, 10498, 623, 37716, 236779, 86546, 1083, 623, 15585, 1695, 155690, 8758, 573, 506, 4128, 236761, 2301, 13258, 4869, 4652, 573, 6268, 4749, 13207, 236761, 13029, 5646, 47989, 10325, 573, 11690, 4749, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 54226, 4588, 2072, 573, 506, 56183, 2433, 1024, 506, 3068, 236743, 236800, 236771, 2668, 236787, 108, 1018, 47619, 10824, 171693, 568, 49426, 236743, 236810, 236771, 7635, 529, 56183, 1473, 1018, 107, 236770, 236761, 5213, 27393, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 139, 236772, 196097, 236787, 236743, 236812, 236761, 236828, 138, 107, 139, 236772, 69934, 236787, 236743, 236828, 236761, 236832, 7251, 138, 107, 139, 236772, 21617, 236787, 25634, 56183, 236764, 8253, 138, 108, 236778, 236761, 5213, 27393, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 139, 236772, 196097, 236787, 236743, 236810, 236761, 236770, 568, 56462, 528, 146545, 236768, 138, 107, 139, 236772, 69934, 236787, 236743, 236770, 236778, 236761, 236800, 7251, 138, 107, 139, 236772, 21617, 236787, 146545, 36837, 236764, 8253, 138, 108, 236800, 236761, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 138, 107, 139, 236772, 196097, 236787, 236743, 236812, 236761, 236825, 138, 107, 139, 236772, 69934, 236787, 236743, 236770, 236828, 236761, 236819, 7251, 138, 107, 139, 236772, 21617, 236787, 4257, 56183, 5796, 236764, 8253, 138, 108, 1018, 71398, 13768, 53121, 138, 107, 236772, 2301, 18420, 54226, 9935, 568, 236744, 236761, 236759, 1126, 2353, 29103, 653, 53136, 236754, 9127, 236768, 964, 13207, 236761, 138, 107, 236772, 23195, 100146, 607, 3867, 1695, 4535, 573, 506, 4128, 236761, 138, 107, 236772, 5213, 71398, 16575, 53121, 14533, 568, 1904, 25779, 529, 4869, 4652, 573, 6268, 70444, 769, 138, 108, 1018, 201430, 573, 5180, 12209, 53121, 138, 107, 236770, 236761, 57843, 11690, 1610, 35490, 532, 9108, 531, 44411, 9875, 3866, 39384, 568, 236744, 236761, 236759, 1126, 1699, 14887, 73408, 769, 138, 107, 236778, 236761, 6521, 614, 11996, 2731, 573, 40303, 568, 236744, 236761, 236759, 1126, 71539, 16266, 236764, 1171, 11278, 14996, 769, 138, 107, 236800, 236761, 26295, 1759, 236772, 2289, 54226, 12496, 4323, 506, 870, 3118, 15683, 623, 15562, 1599, 43213, 1030, 236881, 1935, 236769, 2574, 1411, 40717, 81539, 236761, 605, 6174, 236761, 12561, 236786, 5865, 13268, 31004, 1458, 12532, 531, 506, 2460, 3433, 236761, 138, 108, 38786, 611, 1133, 4767, 14984, 580, 38073, 100181, 573, 11690, 4749, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 2506, 672, 2072, 699, 1041, 16044, 607, 784, 506, 3885, 564, 32575, 1774, 2297, 532, 506, 5417, 564, 1456, 580, 1546, 3195, 236761, 1030, 236858, 236751, 1164, 496, 6232, 529, 4945, 532, 81660, 10213, 236761, 3199, 611, 1386, 5113, 529, 625, 236881, 564, 1202, 496, 3606, 25890, 236787, 2558, 3885, 236764, 4398, 810, 1719, 236764, 2558, 2157, 529, 5417, 236764, 532, 7463, 837, 2203, 29797, 872, 506, 1346, 14767, 236761, 564, 236858, 236753, 1133, 531, 1281, 768, 564, 236858, 236757, 11704, 2311, 1623, 990, 580, 2953, 9395, 834, 564, 740, 2514, 1041, 10368, 2196, 573, 506, 146114, 236858, 48524, 4972, 236761, 1599, 740, 6060, 600, 236881, 106, 107, 105, 4368, 107, 236777, 740, 8426, 1601, 607, 600, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 5396, 1262, 699, 822, 2072, 236761, 7323, 4024, 506, 2354, 3004, 653, 506, 3530, 4945, 532, 4889, 568, 236744, 236761, 236759, 1126, 3885, 32575, 810, 1719, 236764, 2561, 5384, 810, 2203, 769, 9920, 564, 735, 672, 1938, 236764, 564, 236789, 859, 18840, 625, 532, 2847, 611, 607, 496, 31044, 25890, 529, 2558, 3885, 236764, 6376, 52916, 236764, 2561, 5384, 236764, 532, 506, 2203, 607, 506, 7310, 6429, 14120, 236761, 1174, 795, 1601, 8701, 1027, 990, 236772, 76823, 9395, 600, 1451, 577, 20843, 573, 822, 146114, 2290, 10368, 236761, 106, 107, 105, 2364, 107, 8291, 236858, 236751, 1144, 564, 81660, 16658, 1679, 1774, 2069, 236787, 753, 8492, 236787, 236743, 236828, 236761, 236810, 3885, 236764, 609, 236770, 236778, 236771, 5417, 573, 7879, 2774, 25473, 236746, 753, 9863, 236787, 236743, 236832, 3885, 236764, 609, 236828, 236810, 573, 7879, 5054, 159580, 530, 753, 10119, 236787, 236743, 236819, 3885, 568, 1749, 2289, 779, 609, 236778, 236771, 236771, 573, 7879, 2774, 25473, 236746, 753, 9853, 236787, 236743, 236825, 236761, 236810, 3885, 236764, 609, 236832, 236771, 573, 7879, 87856, 639, 187872, 753, 7672, 236787, 236743, 236770, 236771, 3885, 568, 7485, 12978, 50600, 779, 609, 236800, 236771, 236771, 573, 32683, 26209, 32987, 3199, 611, 1845, 1724, 4945, 236881, 564, 1202, 496, 25890, 529, 2558, 3885, 568, 16603, 600, 47854, 779, 4398, 6376, 3885, 236764, 2558, 2561, 5384, 236764, 532, 837, 2203, 236786, 6201, 1722, 563, 18830, 1343, 14767, 236761, 7062, 236764, 532, 8134, 4658, 600, 5724, 1133, 496, 990, 19326, 237028, 236777, 1461, 531, 5571, 1724, 1913, 48524, 3409, 236761, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 24392, 1083, 236743, 236812, 236770, 236761, 236771, 236764, 623, 28128, 236779, 32320, 236779, 24392, 1083, 236743, 236828, 236761, 236778, 236764, 623, 6725, 236779, 10236, 236779, 101535, 1083, 236743, 236832, 236832, 236810, 236764, 623, 6201, 236779, 190966, 1083, 3714, 8410, 2774, 25473, 236746, 1083, 236743, 236800, 236778, 236771, 236764, 623, 8410, 5054, 159580, 530, 1083, 236743, 236828, 236810, 236764, 623, 8410, 87856, 639, 187872, 1083, 236743, 236832, 236771, 236764, 623, 94209, 26209, 32987, 1083, 236743, 236800, 236771, 236771, 1263, 623, 1749, 2289, 236779, 24392, 1083, 236743, 236800, 236764, 623, 16213, 3701, 236779, 2289, 236779, 236751, 24255, 1083, 11058, 58189, 568, 1749, 2289, 22730, 623, 45262, 568, 7485, 12978, 50600, 236768, 14255, 623, 3374, 236779, 39519, 236779, 6201, 1083, 623, 94209, 26209, 32987, 827, 623, 23184, 1083, 623, 8410, 2774, 25473, 236746, 532, 32683, 26209, 32987, 2881, 573, 236743, 236832, 236819, 236908, 529, 2558, 5384, 236761, 14066, 35329, 7672, 236789, 236751, 12978, 50600, 573, 3435, 9286, 15955, 1913, 48524, 3409, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 25890, 236787, 108, 1018, 9640, 35174, 53121, 236743, 236812, 236770, 236761, 236771, 3885, 568, 16603, 236743, 236800, 3885, 529, 47854, 236768, 138, 107, 1018, 35089, 18245, 35174, 53121, 236743, 236828, 236761, 236778, 3885, 236786, 1496, 138, 107, 1018, 9640, 12683, 56484, 53121, 609, 236832, 236832, 236810, 138, 108, 1018, 8410, 109555, 166977, 53121, 138, 107, 236772, 5213, 8410, 2774, 25473, 236746, 66515, 609, 236800, 236778, 236771, 568, 236812, 236770, 236908, 529, 2558, 5417, 236768, 138, 107, 236772, 5213, 94209, 26209, 32987, 66515, 609, 236800, 236771, 236771, 568, 236800, 236819, 236908, 529, 2558, 5417, 236768, 138, 107, 236772, 5213, 8410, 5054, 159580, 530, 66515, 609, 236828, 236810, 138, 107, 236772, 5213, 8410, 87856, 639, 187872, 66515, 609, 236832, 236771, 138, 108, 1018, 18574, 3701, 7578, 555, 24255, 53121, 138, 107, 236770, 236761, 5213, 58189, 1018, 568, 236819, 3885, 236764, 2440, 47854, 236768, 138, 107, 236778, 236761, 5213, 45262, 1018, 568, 236770, 236771, 3885, 573, 12978, 50600, 236768, 138, 108, 1018, 3503, 76374, 53121, 138, 107, 236772, 5213, 94209, 26209, 32987, 1018, 691, 506, 1346, 11162, 2203, 236764, 840, 5213, 8410, 2774, 25473, 236746, 1018, 9292, 607, 7672, 236858, 236751, 12978, 50600, 10789, 573, 5213, 236832, 236819, 236908, 529, 2558, 5384, 84750, 138, 107, 236772, 7672, 236858, 236751, 236743, 236770, 236771, 236772, 13807, 12978, 50600, 563, 496, 53552, 4652, 573, 990, 28847, 607, 48524, 4972, 236761, 14066, 20611, 1194, 653, 61232, 11996, 9395, 236761, 138, 107, 236772, 10119, 236858, 236751, 47854, 1451, 577, 28717, 684, 46968, 67244, 61220, 6517, 528, 506, 2069, 236761, 138, 108, 1018, 9272, 50228, 53121, 9352, 7672, 236858, 236751, 12978, 50600, 1657, 573, 9286, 568, 236744, 236761, 236759, 1126, 877, 236772, 14973, 522, 14767, 236764, 2434, 26937, 236768, 531, 2196, 872, 990, 573, 146114, 4972, 236761, 19704, 3342, 3671, 236881, 3792, 786, 1281, 236888, 236743, 248072, 247844, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236888, 2981, 32683, 26209, 32987, 532, 7879, 2774, 25473, 236746, 659, 18905, 786, 236761, 3792, 236858, 236751, 27868, 19276, 236787, 740, 611, 10769, 1724, 1156, 5699, 2678, 236772, 2003, 236772, 2897, 236881, 564, 1461, 531, 1460, 1217, 1623, 990, 7728, 236761, 5417, 1546, 29797, 872, 236761, 15704, 9918, 625, 1131, 496, 2633, 607, 48001, 236881, 1452, 8357, 837, 886, 236858, 236751, 496, 12869, 13345, 237028, 2289, 653, 8216, 236761, 6542, 236764, 768, 564, 40582, 12978, 50600, 9395, 531, 496, 21640, 9865, 236764, 1217, 1623, 990, 1451, 564, 115953, 5383, 810, 2069, 236881, 3792, 236858, 236751, 53349, 1724, 4945, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 9960, 532, 3671, 236787, 108, 1018, 8410, 7578, 833, 11117, 166977, 1018, 138, 107, 236909, 5213, 84276, 1018, 151, 236909, 5213, 8410, 2774, 25473, 236746, 1018, 1109, 5213, 94209, 26209, 32987, 1018, 1109, 5213, 236908, 529, 12613, 7578, 1018, 1109, 5213, 236908, 529, 12613, 26810, 1018, 1109, 138, 107, 236909, 2819, 24912, 236909, 2819, 30104, 236909, 2819, 1611, 236909, 2819, 30104, 236909, 2819, 24912, 236909, 138, 107, 236909, 5213, 2866, 209721, 1018, 147, 236909, 236743, 236770, 236832, 236761, 236810, 3885, 146, 236909, 236743, 236770, 236771, 3885, 151, 236909, 236743, 236812, 236778, 236761, 236832, 236908, 151, 236909, 236743, 236778, 236812, 236761, 236812, 236908, 156, 236909, 138, 107, 236909, 5213, 18942, 56484, 1018, 143, 236909, 609, 236800, 236778, 236771, 152, 236909, 609, 236800, 236771, 236771, 155, 236909, 236743, 236812, 236770, 236761, 236800, 236908, 151, 236909, 236743, 236800, 236828, 236761, 236832, 236908, 156, 236909, 138, 108, 1018, 178546, 13768, 1018, 138, 107, 236772, 5213, 8410, 2774, 25473, 236746, 66515, 5213, 2866, 1018, 563, 506, 12869, 13345, 568, 236812, 236778, 236761, 236832, 236908, 529, 2558, 3885, 7728, 236761, 236743, 236812, 236770, 236761, 236800, 236908, 529, 5417, 769, 138, 107, 236772, 5213, 94209, 26209, 32987, 66515, 5213, 48532, 1018, 563, 506, 12869, 13345, 568, 236800, 236828, 236761, 236832, 236908, 529, 5417, 7728, 236761, 236743, 236778, 236812, 236761, 236812, 236908, 529, 990, 769, 138, 108, 1018, 2866, 62480, 79645, 1018, 138, 107, 2859, 611, 40582, 506, 5213, 94209, 26209, 32987, 1018, 568, 28993, 50600, 236768, 11716, 236787, 138, 107, 236772, 5213, 2866, 111408, 66515, 236743, 236770, 236771, 3885, 236786, 14808, 568, 45262, 236858, 236751, 61220, 769, 138, 107, 236772, 5213, 4199, 40502, 29748, 66515, 236743, 236825, 236761, 236778, 3885, 236786, 1496, 568, 3843, 699, 236743, 236828, 236761, 236778, 3885, 769, 138, 107, 236772, 5213, 12104, 2865, 151366, 66515, 112294, 872, 236743, 236778, 236862, 2668, 810, 2069, 573, 146114, 4972, 236761, 138, 108, 1018, 211199, 1018, 138, 107, 30255, 77372, 20611, 1194, 5213, 94209, 26209, 32987, 1018, 9395, 531, 496, 21640, 2434, 4374, 236761, 1701, 5213, 8410, 2774, 25473, 236746, 125546, 3540, 81014, 531, 6439, 47854, 568, 236744, 236761, 236759, 1126, 9918, 10119, 236858, 236751, 61220, 6517, 528, 506, 2069, 769, 3792, 786, 1281, 768, 611, 1461, 496, 26885, 10368, 15523, 236888, 236743, 243082, 249772, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 2506, 672, 2072, 699, 1041, 16044, 607, 784, 506, 3885, 564, 32575, 1774, 2297, 532, 506, 5417, 564, 1456, 580, 1546, 3195, 236761, 1030, 236858, 236751, 1164, 496, 6232, 529, 4945, 532, 81660, 10213, 236761, 3199, 611, 1386, 5113, 529, 625, 236881, 564, 1202, 496, 3606, 25890, 236787, 2558, 3885, 236764, 4398, 810, 1719, 236764, 2558, 2157, 529, 5417, 236764, 532, 7463, 837, 2203, 29797, 872, 506, 1346, 14767, 236761, 564, 236858, 236753, 1133, 531, 1281, 768, 564, 236858, 236757, 11704, 2311, 1623, 990, 580, 2953, 9395, 834, 564, 740, 2514, 1041, 10368, 2196, 573, 506, 146114, 236858, 48524, 4972, 236761, 1599, 740, 6060, 600, 236881, 106, 107, 105, 4368, 107, 236777, 740, 8426, 1601, 607, 600, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 5396, 1262, 699, 822, 2072, 236761, 7323, 4024, 506, 2354, 3004, 653, 506, 3530, 4945, 532, 4889, 568, 236744, 236761, 236759, 1126, 3885, 32575, 810, 1719, 236764, 2561, 5384, 810, 2203, 769, 9920, 564, 735, 672, 1938, 236764, 564, 236789, 859, 18840, 625, 532, 2847, 611, 607, 496, 31044, 25890, 529, 2558, 3885, 236764, 6376, 52916, 236764, 2561, 5384, 236764, 532, 506, 2203, 607, 506, 7310, 6429, 14120, 236761, 1174, 795, 1601, 8701, 1027, 990, 236772, 76823, 9395, 600, 1451, 577, 20843, 573, 822, 146114, 2290, 10368, 236761, 106, 107, 105, 2364, 107, 8291, 236858, 236751, 1144, 564, 81660, 16658, 1679, 1774, 2069, 236787, 753, 8492, 236787, 236743, 236828, 236761, 236810, 3885, 236764, 609, 236770, 236778, 236771, 5417, 573, 7879, 2774, 25473, 236746, 753, 9863, 236787, 236743, 236832, 3885, 236764, 609, 236828, 236810, 573, 7879, 5054, 159580, 530, 753, 10119, 236787, 236743, 236819, 3885, 568, 1749, 2289, 779, 609, 236778, 236771, 236771, 573, 7879, 2774, 25473, 236746, 753, 9853, 236787, 236743, 236825, 236761, 236810, 3885, 236764, 609, 236832, 236771, 573, 7879, 87856, 639, 187872, 753, 7672, 236787, 236743, 236770, 236771, 3885, 568, 7485, 12978, 50600, 779, 609, 236800, 236771, 236771, 573, 32683, 26209, 32987, 3199, 611, 1845, 1724, 4945, 236881, 564, 1202, 496, 25890, 529, 2558, 3885, 568, 16603, 600, 47854, 779, 4398, 6376, 3885, 236764, 2558, 2561, 5384, 236764, 532, 837, 2203, 236786, 6201, 1722, 563, 18830, 1343, 14767, 236761, 7062, 236764, 532, 8134, 4658, 600, 5724, 1133, 496, 990, 19326, 237028, 236777, 1461, 531, 5571, 1724, 1913, 48524, 3409, 236761, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 24392, 1083, 236743, 236812, 236770, 236761, 236771, 236764, 623, 28128, 236779, 32320, 236779, 24392, 1083, 236743, 236828, 236761, 236778, 236764, 623, 6725, 236779, 10236, 236779, 101535, 1083, 236743, 236832, 236832, 236810, 236764, 623, 6201, 236779, 190966, 1083, 3714, 8410, 2774, 25473, 236746, 1083, 236743, 236800, 236778, 236771, 236764, 623, 8410, 5054, 159580, 530, 1083, 236743, 236828, 236810, 236764, 623, 8410, 87856, 639, 187872, 1083, 236743, 236832, 236771, 236764, 623, 94209, 26209, 32987, 1083, 236743, 236800, 236771, 236771, 1263, 623, 1749, 2289, 236779, 24392, 1083, 236743, 236800, 236764, 623, 16213, 3701, 236779, 2289, 236779, 236751, 24255, 1083, 11058, 58189, 568, 1749, 2289, 22730, 623, 45262, 568, 7485, 12978, 50600, 236768, 14255, 623, 3374, 236779, 39519, 236779, 6201, 1083, 623, 94209, 26209, 32987, 827, 623, 23184, 1083, 623, 8410, 2774, 25473, 236746, 532, 32683, 26209, 32987, 2881, 573, 236743, 236832, 236819, 236908, 529, 2558, 5384, 236761, 14066, 35329, 7672, 236789, 236751, 12978, 50600, 573, 3435, 9286, 15955, 1913, 48524, 3409, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 25890, 236787, 108, 1018, 9640, 35174, 53121, 236743, 236812, 236770, 236761, 236771, 3885, 568, 16603, 236743, 236800, 3885, 529, 47854, 236768, 138, 107, 1018, 35089, 18245, 35174, 53121, 236743, 236828, 236761, 236778, 3885, 236786, 1496, 138, 107, 1018, 9640, 12683, 56484, 53121, 609, 236832, 236832, 236810, 138, 108, 1018, 8410, 109555, 166977, 53121, 138, 107, 236772, 5213, 8410, 2774, 25473, 236746, 66515, 609, 236800, 236778, 236771, 568, 236812, 236770, 236908, 529, 2558, 5417, 236768, 138, 107, 236772, 5213, 94209, 26209, 32987, 66515, 609, 236800, 236771, 236771, 568, 236800, 236819, 236908, 529, 2558, 5417, 236768, 138, 107, 236772, 5213, 8410, 5054, 159580, 530, 66515, 609, 236828, 236810, 138, 107, 236772, 5213, 8410, 87856, 639, 187872, 66515, 609, 236832, 236771, 138, 108, 1018, 18574, 3701, 7578, 555, 24255, 53121, 138, 107, 236770, 236761, 5213, 58189, 1018, 568, 236819, 3885, 236764, 2440, 47854, 236768, 138, 107, 236778, 236761, 5213, 45262, 1018, 568, 236770, 236771, 3885, 573, 12978, 50600, 236768, 138, 108, 1018, 3503, 76374, 53121, 138, 107, 236772, 5213, 94209, 26209, 32987, 1018, 691, 506, 1346, 11162, 2203, 236764, 840, 5213, 8410, 2774, 25473, 236746, 1018, 9292, 607, 7672, 236858, 236751, 12978, 50600, 10789, 573, 5213, 236832, 236819, 236908, 529, 2558, 5384, 84750, 138, 107, 236772, 7672, 236858, 236751, 236743, 236770, 236771, 236772, 13807, 12978, 50600, 563, 496, 53552, 4652, 573, 990, 28847, 607, 48524, 4972, 236761, 14066, 20611, 1194, 653, 61232, 11996, 9395, 236761, 138, 107, 236772, 10119, 236858, 236751, 47854, 1451, 577, 28717, 684, 46968, 67244, 61220, 6517, 528, 506, 2069, 236761, 138, 108, 1018, 9272, 50228, 53121, 9352, 7672, 236858, 236751, 12978, 50600, 1657, 573, 9286, 568, 236744, 236761, 236759, 1126, 877, 236772, 14973, 522, 14767, 236764, 2434, 26937, 236768, 531, 2196, 872, 990, 573, 146114, 4972, 236761, 19704, 3342, 3671, 236881, 3792, 786, 1281, 236888, 236743, 248072, 247844, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236888, 2981, 32683, 26209, 32987, 532, 7879, 2774, 25473, 236746, 659, 18905, 786, 236761, 3792, 236858, 236751, 27868, 19276, 236787, 740, 611, 10769, 1724, 1156, 5699, 2678, 236772, 2003, 236772, 2897, 236881, 564, 1461, 531, 1460, 1217, 1623, 990, 7728, 236761, 5417, 1546, 29797, 872, 236761, 15704, 9918, 625, 1131, 496, 2633, 607, 48001, 236881, 1452, 8357, 837, 886, 236858, 236751, 496, 12869, 13345, 237028, 2289, 653, 8216, 236761, 6542, 236764, 768, 564, 40582, 12978, 50600, 9395, 531, 496, 21640, 9865, 236764, 1217, 1623, 990, 1451, 564, 115953, 5383, 810, 2069, 236881, 3792, 236858, 236751, 53349, 1724, 4945, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 9960, 532, 3671, 236787, 108, 1018, 8410, 7578, 833, 11117, 166977, 1018, 138, 107, 236909, 5213, 84276, 1018, 151, 236909, 5213, 8410, 2774, 25473, 236746, 1018, 1109, 5213, 94209, 26209, 32987, 1018, 1109, 5213, 236908, 529, 12613, 7578, 1018, 1109, 5213, 236908, 529, 12613, 26810, 1018, 1109, 138, 107, 236909, 2819, 24912, 236909, 2819, 30104, 236909, 2819, 1611, 236909, 2819, 30104, 236909, 2819, 24912, 236909, 138, 107, 236909, 5213, 2866, 209721, 1018, 147, 236909, 236743, 236770, 236832, 236761, 236810, 3885, 146, 236909, 236743, 236770, 236771, 3885, 151, 236909, 236743, 236812, 236778, 236761, 236832, 236908, 151, 236909, 236743, 236778, 236812, 236761, 236812, 236908, 156, 236909, 138, 107, 236909, 5213, 18942, 56484, 1018, 143, 236909, 609, 236800, 236778, 236771, 152, 236909, 609, 236800, 236771, 236771, 155, 236909, 236743, 236812, 236770, 236761, 236800, 236908, 151, 236909, 236743, 236800, 236828, 236761, 236832, 236908, 156, 236909, 138, 108, 1018, 178546, 13768, 1018, 138, 107, 236772, 5213, 8410, 2774, 25473, 236746, 66515, 5213, 2866, 1018, 563, 506, 12869, 13345, 568, 236812, 236778, 236761, 236832, 236908, 529, 2558, 3885, 7728, 236761, 236743, 236812, 236770, 236761, 236800, 236908, 529, 5417, 769, 138, 107, 236772, 5213, 94209, 26209, 32987, 66515, 5213, 48532, 1018, 563, 506, 12869, 13345, 568, 236800, 236828, 236761, 236832, 236908, 529, 5417, 7728, 236761, 236743, 236778, 236812, 236761, 236812, 236908, 529, 990, 769, 138, 108, 1018, 2866, 62480, 79645, 1018, 138, 107, 2859, 611, 40582, 506, 5213, 94209, 26209, 32987, 1018, 568, 28993, 50600, 236768, 11716, 236787, 138, 107, 236772, 5213, 2866, 111408, 66515, 236743, 236770, 236771, 3885, 236786, 14808, 568, 45262, 236858, 236751, 61220, 769, 138, 107, 236772, 5213, 4199, 40502, 29748, 66515, 236743, 236825, 236761, 236778, 3885, 236786, 1496, 568, 3843, 699, 236743, 236828, 236761, 236778, 3885, 769, 138, 107, 236772, 5213, 12104, 2865, 151366, 66515, 112294, 872, 236743, 236778, 236862, 2668, 810, 2069, 573, 146114, 4972, 236761, 138, 108, 1018, 211199, 1018, 138, 107, 30255, 77372, 20611, 1194, 5213, 94209, 26209, 32987, 1018, 9395, 531, 496, 21640, 2434, 4374, 236761, 1701, 5213, 8410, 2774, 25473, 236746, 125546, 3540, 81014, 531, 6439, 47854, 568, 236744, 236761, 236759, 1126, 9918, 10119, 236858, 236751, 61220, 6517, 528, 506, 2069, 769, 3792, 786, 1281, 768, 611, 1461, 496, 26885, 10368, 15523, 236888, 236743, 243082, 249772, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1601, 1041, 66287, 5347, 614, 18437, 5368, 8289, 573, 914, 1944, 1960, 236761, 3792, 236789, 236751, 1502, 684, 3978, 4889, 573, 9593, 1698, 603, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 568, 36120, 35243, 56647, 1255, 236743, 236778, 236771, 236778, 236800, 769, 4298, 2426, 1873, 5469, 573, 672, 4188, 236761, 13472, 236764, 33205, 7002, 10988, 11461, 573, 4333, 3848, 5295, 236761, 568, 22037, 23442, 236836, 236768, 531, 5608, 910, 4867, 11646, 618, 496, 5368, 12454, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 827, 623, 3250, 1083, 623, 3898, 3848, 226173, 56647, 1255, 236743, 236778, 236771, 236778, 236800, 49878, 15435, 827, 623, 9707, 1083, 3714, 13304, 1083, 236743, 236800, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 175113, 1083, 3714, 13304, 1083, 236743, 236832, 236771, 236761, 236771, 236764, 623, 45118, 1083, 623, 236770, 236810, 236908, 1135, 236775, 5237, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 25146, 18437, 5368, 573, 1944, 8634, 236761, 25772, 3204, 234523, 236764, 18766, 16074, 236764, 47782, 236764, 3869, 12652, 236764, 532, 4867, 13761, 236761, 99423, 7993, 236743, 236770, 236771, 236786, 236770, 236770, 10498, 623, 5690, 8112, 1083, 3714, 9731, 236779, 81521, 1083, 3714, 585, 1083, 623, 5189, 236743, 236770, 236771, 653, 236743, 236770, 236770, 827, 623, 1043, 1083, 623, 236812, 8242, 653, 3715, 827, 623, 20321, 1083, 623, 236778, 8242, 2487, 2557, 23179, 623, 77943, 1083, 623, 1489, 236743, 236778, 236771, 236778, 236800, 827, 623, 31455, 236779, 2084, 1083, 623, 5141, 7043, 884, 10945, 568, 236770, 2430, 16291, 1263, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236832, 236828, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236810, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236812, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236778, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236770, 5237, 623, 112485, 1083, 78493, 2084, 1083, 623, 17076, 236789, 236751, 37936, 827, 623, 70343, 1083, 623, 236770, 236810, 236908, 1135, 827, 623, 4730, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 3714, 2084, 1083, 623, 12471, 46816, 827, 623, 7777, 1083, 623, 15370, 236743, 236770, 236772, 3704, 9626, 2731, 607, 7408, 25938, 1604, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 36120, 35243, 236772, 41326, 236772, 1489, 236772, 236778, 236771, 236778, 236800, 236772, 49276, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 46804, 236779, 547, 1083, 623, 27005, 1089, 236770, 236778, 236800, 236812, 236810, 827, 623, 9707, 1083, 236743, 236778, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 62856, 1083, 623, 39460, 236761, 854, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 84339, 236779, 2289, 1083, 623, 236778, 2668, 827, 623, 19216, 1083, 623, 4199, 23179, 3714, 46804, 236779, 547, 1083, 623, 27005, 1089, 236825, 236832, 236828, 236819, 236771, 827, 623, 9707, 1083, 236743, 236778, 236832, 236810, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 62856, 1083, 623, 29235, 3321, 1294, 12424, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 84339, 236779, 2289, 1083, 623, 236810, 236772, 236832, 2668, 827, 623, 19216, 1083, 623, 4199, 25938, 1604, 623, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 827, 623, 4243, 3986, 1111, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 7253, 236836, 827, 623, 17873, 236779, 18003, 1083, 3714, 6725, 236779, 9301, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 4002, 236779, 9301, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9181, 236779, 4002, 236779, 9301, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 1554, 8027, 1083, 236743, 236825, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 4002, 236779, 1554, 8027, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9181, 236779, 4002, 236779, 1554, 8027, 1083, 236743, 236800, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 154044, 1083, 236743, 236825, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 11147, 236779, 14973, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 500, 34984, 236779, 220929, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 193309, 236779, 1896, 236779, 2669, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236800, 236770, 23179, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13611, 3671, 531, 1601, 822, 66287, 5347, 226173, 56647, 1255, 236743, 236778, 236771, 236778, 236800, 236787, 108, 1018, 236770, 236761, 7303, 41959, 568, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 1473, 1018, 107, 236772, 5213, 11280, 53121, 609, 236800, 236819, 236819, 236761, 236819, 236819, 568, 43623, 53838, 236743, 236770, 236810, 236908, 531, 609, 236778, 236819, 236819, 236761, 236819, 236819, 580, 9593, 236768, 107, 236772, 5213, 27144, 53121, 2343, 236772, 495, 236772, 811, 18437, 5368, 607, 234523, 236764, 18766, 16074, 236764, 47782, 236764, 3869, 4866, 236764, 532, 4867, 13761, 107, 236772, 5213, 4521, 33197, 53121, 7993, 236743, 236770, 236771, 236786, 236770, 236770, 236764, 236743, 236812, 8242, 24051, 236764, 236743, 236778, 8242, 6310, 107, 236772, 5213, 51164, 53121, 799, 2862, 568, 39460, 5469, 236743, 236778, 236772, 1496, 13946, 12631, 236768, 107, 236772, 5213, 2887, 47240, 53121, 236743, 236812, 236761, 236810, 236786, 236810, 568, 236770, 236778, 236764, 236810, 236771, 236771, 10595, 607, 236743, 236832, 236828, 236908, 236743, 236810, 236772, 7991, 24074, 236768, 108, 1018, 236778, 236761, 14040, 8890, 80007, 53121, 107, 236772, 5213, 39460, 5890, 568, 40090, 161465, 1473, 1018, 609, 236778, 236819, 236819, 236761, 236819, 236819, 607, 236743, 236778, 236772, 1496, 12631, 107, 236772, 5213, 29235, 3321, 1294, 12424, 53121, 609, 236778, 236832, 236810, 236761, 236810, 236771, 568, 14000, 609, 236778, 236812, 236761, 236812, 236812, 236768, 840, 236743, 236810, 236772, 236832, 1719, 12631, 236764, 711, 13946, 17793, 107, 236772, 5213, 23244, 46816, 53121, 9617, 236743, 236770, 236772, 3704, 9626, 2731, 5012, 108, 1018, 236800, 236761, 4333, 3848, 16906, 69489, 568, 23135, 236787, 23442, 236836, 1473, 1018, 107, 236772, 5213, 9640, 51347, 53121, 609, 236770, 236778, 236761, 236810, 7889, 107, 236772, 5213, 141242, 27180, 53121, 609, 236825, 236761, 236800, 7889, 568, 51757, 7002, 10988, 607, 919, 10091, 1082, 43935, 236768, 107, 236772, 5213, 68058, 14475, 53121, 14040, 10091, 6131, 236812, 236761, 236810, 236799, 236768, 48539, 9644, 1873, 43935, 6131, 236778, 236761, 236828, 236799, 236768, 107, 236772, 5213, 173307, 5554, 53121, 34980, 7002, 10988, 1262, 699, 5505, 236743, 236778, 236771, 236778, 236800, 3831, 10385, 4867, 2939, 108, 1018, 211199, 53121, 669, 9593, 13946, 2729, 657, 609, 236778, 236819, 236819, 236761, 236819, 236819, 4728, 506, 1791, 8376, 529, 3385, 236764, 21016, 236764, 532, 12631, 4249, 236761, 4333, 3848, 236789, 236751, 3188, 4867, 2939, 568, 1749, 609, 236825, 236799, 16960, 236768, 44898, 910, 11646, 618, 496, 1440, 236772, 6061, 5368, 12454, 236761, 669, 2196, 9626, 2731, 2729, 13586, 3629, 1550, 573, 14335, 1894, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1601, 1041, 66287, 5347, 614, 18437, 5368, 8289, 573, 914, 1944, 1960, 236761, 3792, 236789, 236751, 1502, 684, 3978, 4889, 573, 9593, 1698, 603, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 568, 36120, 35243, 56647, 1255, 236743, 236778, 236771, 236778, 236800, 769, 4298, 2426, 1873, 5469, 573, 672, 4188, 236761, 13472, 236764, 33205, 7002, 10988, 11461, 573, 4333, 3848, 5295, 236761, 568, 22037, 23442, 236836, 236768, 531, 5608, 910, 4867, 11646, 618, 496, 5368, 12454, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 827, 623, 3250, 1083, 623, 3898, 3848, 226173, 56647, 1255, 236743, 236778, 236771, 236778, 236800, 49878, 15435, 827, 623, 9707, 1083, 3714, 13304, 1083, 236743, 236800, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 175113, 1083, 3714, 13304, 1083, 236743, 236832, 236771, 236761, 236771, 236764, 623, 45118, 1083, 623, 236770, 236810, 236908, 1135, 236775, 5237, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 25146, 18437, 5368, 573, 1944, 8634, 236761, 25772, 3204, 234523, 236764, 18766, 16074, 236764, 47782, 236764, 3869, 12652, 236764, 532, 4867, 13761, 236761, 99423, 7993, 236743, 236770, 236771, 236786, 236770, 236770, 10498, 623, 5690, 8112, 1083, 3714, 9731, 236779, 81521, 1083, 3714, 585, 1083, 623, 5189, 236743, 236770, 236771, 653, 236743, 236770, 236770, 827, 623, 1043, 1083, 623, 236812, 8242, 653, 3715, 827, 623, 20321, 1083, 623, 236778, 8242, 2487, 2557, 23179, 623, 77943, 1083, 623, 1489, 236743, 236778, 236771, 236778, 236800, 827, 623, 31455, 236779, 2084, 1083, 623, 5141, 7043, 884, 10945, 568, 236770, 2430, 16291, 1263, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236832, 236828, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236810, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236812, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236778, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236770, 5237, 623, 112485, 1083, 78493, 2084, 1083, 623, 17076, 236789, 236751, 37936, 827, 623, 70343, 1083, 623, 236770, 236810, 236908, 1135, 827, 623, 4730, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 3714, 2084, 1083, 623, 12471, 46816, 827, 623, 7777, 1083, 623, 15370, 236743, 236770, 236772, 3704, 9626, 2731, 607, 7408, 25938, 1604, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 36120, 35243, 236772, 41326, 236772, 1489, 236772, 236778, 236771, 236778, 236800, 236772, 49276, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 46804, 236779, 547, 1083, 623, 27005, 1089, 236770, 236778, 236800, 236812, 236810, 827, 623, 9707, 1083, 236743, 236778, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 62856, 1083, 623, 39460, 236761, 854, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 84339, 236779, 2289, 1083, 623, 236778, 2668, 827, 623, 19216, 1083, 623, 4199, 23179, 3714, 46804, 236779, 547, 1083, 623, 27005, 1089, 236825, 236832, 236828, 236819, 236771, 827, 623, 9707, 1083, 236743, 236778, 236832, 236810, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 62856, 1083, 623, 29235, 3321, 1294, 12424, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 84339, 236779, 2289, 1083, 623, 236810, 236772, 236832, 2668, 827, 623, 19216, 1083, 623, 4199, 25938, 1604, 623, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 827, 623, 4243, 3986, 1111, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 7253, 236836, 827, 623, 17873, 236779, 18003, 1083, 3714, 6725, 236779, 9301, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 4002, 236779, 9301, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9181, 236779, 4002, 236779, 9301, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 1554, 8027, 1083, 236743, 236825, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 4002, 236779, 1554, 8027, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 9181, 236779, 4002, 236779, 1554, 8027, 1083, 236743, 236800, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 154044, 1083, 236743, 236825, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 11147, 236779, 14973, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 500, 34984, 236779, 220929, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 193309, 236779, 1896, 236779, 2669, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236800, 236770, 23179, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13611, 3671, 531, 1601, 822, 66287, 5347, 226173, 56647, 1255, 236743, 236778, 236771, 236778, 236800, 236787, 108, 1018, 236770, 236761, 7303, 41959, 568, 236799, 236771, 236828, 236797, 236825, 236874, 236825, 236874, 236778, 236935, 1473, 1018, 107, 236772, 5213, 11280, 53121, 609, 236800, 236819, 236819, 236761, 236819, 236819, 568, 43623, 53838, 236743, 236770, 236810, 236908, 531, 609, 236778, 236819, 236819, 236761, 236819, 236819, 580, 9593, 236768, 107, 236772, 5213, 27144, 53121, 2343, 236772, 495, 236772, 811, 18437, 5368, 607, 234523, 236764, 18766, 16074, 236764, 47782, 236764, 3869, 4866, 236764, 532, 4867, 13761, 107, 236772, 5213, 4521, 33197, 53121, 7993, 236743, 236770, 236771, 236786, 236770, 236770, 236764, 236743, 236812, 8242, 24051, 236764, 236743, 236778, 8242, 6310, 107, 236772, 5213, 51164, 53121, 799, 2862, 568, 39460, 5469, 236743, 236778, 236772, 1496, 13946, 12631, 236768, 107, 236772, 5213, 2887, 47240, 53121, 236743, 236812, 236761, 236810, 236786, 236810, 568, 236770, 236778, 236764, 236810, 236771, 236771, 10595, 607, 236743, 236832, 236828, 236908, 236743, 236810, 236772, 7991, 24074, 236768, 108, 1018, 236778, 236761, 14040, 8890, 80007, 53121, 107, 236772, 5213, 39460, 5890, 568, 40090, 161465, 1473, 1018, 609, 236778, 236819, 236819, 236761, 236819, 236819, 607, 236743, 236778, 236772, 1496, 12631, 107, 236772, 5213, 29235, 3321, 1294, 12424, 53121, 609, 236778, 236832, 236810, 236761, 236810, 236771, 568, 14000, 609, 236778, 236812, 236761, 236812, 236812, 236768, 840, 236743, 236810, 236772, 236832, 1719, 12631, 236764, 711, 13946, 17793, 107, 236772, 5213, 23244, 46816, 53121, 9617, 236743, 236770, 236772, 3704, 9626, 2731, 5012, 108, 1018, 236800, 236761, 4333, 3848, 16906, 69489, 568, 23135, 236787, 23442, 236836, 1473, 1018, 107, 236772, 5213, 9640, 51347, 53121, 609, 236770, 236778, 236761, 236810, 7889, 107, 236772, 5213, 141242, 27180, 53121, 609, 236825, 236761, 236800, 7889, 568, 51757, 7002, 10988, 607, 919, 10091, 1082, 43935, 236768, 107, 236772, 5213, 68058, 14475, 53121, 14040, 10091, 6131, 236812, 236761, 236810, 236799, 236768, 48539, 9644, 1873, 43935, 6131, 236778, 236761, 236828, 236799, 236768, 107, 236772, 5213, 173307, 5554, 53121, 34980, 7002, 10988, 1262, 699, 5505, 236743, 236778, 236771, 236778, 236800, 3831, 10385, 4867, 2939, 108, 1018, 211199, 53121, 669, 9593, 13946, 2729, 657, 609, 236778, 236819, 236819, 236761, 236819, 236819, 4728, 506, 1791, 8376, 529, 3385, 236764, 21016, 236764, 532, 12631, 4249, 236761, 4333, 3848, 236789, 236751, 3188, 4867, 2939, 568, 1749, 609, 236825, 236799, 16960, 236768, 44898, 910, 11646, 618, 496, 1440, 236772, 6061, 5368, 12454, 236761, 669, 2196, 9626, 2731, 2729, 13586, 3629, 1550, 573, 14335, 1894, 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, 30123, 131782, 3446, 573, 4690, 532, 1461, 531, 3225, 4137, 580, 1873, 2434, 3736, 236761, 3199, 611, 33205, 506, 6524, 52521, 90915, 531, 8701, 506, 1903, 7974, 236881, 564, 236789, 859, 1202, 4889, 1133, 3298, 532, 3345, 48001, 531, 2619, 20433, 4137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 78493, 14992, 1083, 623, 67784, 116382, 827, 623, 11116, 1083, 236743, 236770, 236770, 236771, 236764, 623, 76339, 1083, 236743, 236810, 236778, 236764, 623, 74718, 1083, 236743, 236778, 236812, 236764, 623, 557, 236779, 74718, 1083, 236743, 236825, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236828, 236812, 236764, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 95956, 23179, 3714, 14992, 1083, 623, 87866, 57743, 138258, 827, 623, 11116, 1083, 236743, 236770, 236771, 236810, 236764, 623, 76339, 1083, 236743, 236810, 236771, 236764, 623, 74718, 1083, 236743, 236778, 236832, 236764, 623, 557, 236779, 74718, 1083, 236743, 236810, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236810, 236828, 236764, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 95956, 23179, 3714, 14992, 1083, 623, 229882, 8036, 57009, 827, 623, 11116, 1083, 236743, 236770, 236771, 236778, 236764, 623, 76339, 1083, 236743, 236812, 236819, 236764, 623, 74718, 1083, 236743, 236778, 236828, 236764, 623, 557, 236779, 74718, 1083, 236743, 236810, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236812, 236810, 236764, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 95956, 23179, 3714, 14992, 1083, 623, 106806, 145920, 827, 623, 11116, 1083, 236743, 236770, 236771, 236828, 236764, 623, 76339, 1083, 236743, 236810, 236770, 236764, 623, 74718, 1083, 236743, 236778, 236810, 236764, 623, 557, 236779, 74718, 1083, 236743, 236825, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236832, 236770, 236764, 623, 82332, 1083, 623, 48404, 827, 623, 58392, 1083, 623, 36043, 23179, 3714, 14992, 1083, 623, 236847, 111018, 16522, 45327, 827, 623, 11116, 1083, 236743, 236770, 236771, 236812, 236764, 623, 76339, 1083, 236743, 236812, 236828, 236764, 623, 74718, 1083, 236743, 236778, 236819, 236764, 623, 557, 236779, 74718, 1083, 236743, 236810, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236800, 236778, 236764, 623, 82332, 1083, 623, 48404, 827, 623, 58392, 1083, 623, 47204, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236828, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 52521, 90915, 568, 527, 529, 5261, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 573, 506, 236743, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 3409, 236764, 19372, 684, 3298, 236787, 108, 1018, 8534, 46001, 53121, 107, 236770, 236761, 5213, 67784, 116382, 1018, 568, 83256, 236786, 95956, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236770, 236771, 138, 107, 139, 236772, 19558, 236787, 236743, 236810, 236778, 72928, 753, 236743, 236778, 236812, 170938, 753, 236743, 236825, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236828, 236812, 138, 108, 236778, 236761, 5213, 87866, 57743, 138258, 1018, 568, 83256, 236786, 95956, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236810, 138, 107, 139, 236772, 19558, 236787, 236743, 236810, 236771, 72928, 753, 236743, 236778, 236832, 170938, 753, 236743, 236810, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236810, 236828, 138, 108, 236800, 236761, 5213, 106806, 145920, 1018, 568, 48404, 236786, 36043, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236828, 138, 107, 139, 236772, 19558, 236787, 236743, 236810, 236770, 72928, 753, 236743, 236778, 236810, 170938, 753, 236743, 236825, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236832, 236770, 138, 108, 236812, 236761, 5213, 229882, 8036, 57009, 1018, 568, 83256, 236786, 95956, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236778, 138, 107, 139, 236772, 19558, 236787, 236743, 236812, 236819, 72928, 753, 236743, 236778, 236828, 170938, 753, 236743, 236810, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236812, 236810, 138, 108, 236810, 236761, 5213, 236847, 111018, 16522, 45327, 1018, 568, 48404, 236786, 47204, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236812, 138, 107, 139, 236772, 19558, 236787, 236743, 236812, 236828, 72928, 753, 236743, 236778, 236819, 170938, 753, 236743, 236810, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236800, 236778, 138, 108, 9208, 20673, 1374, 2583, 611, 5139, 2561, 573, 131782, 4137, 1003, 1873, 2434, 3736, 236761, 21284, 611, 1133, 786, 531, 2541, 1679, 3530, 12669, 1133, 9232, 47551, 653, 11247, 33772, 236881, 106, 107, 105, 2364, 107, 20418, 236764, 1239, 90915, 2583, 786, 496, 5139, 13916, 236761, 12067, 236764, 564, 236789, 236753, 1133, 531, 10769, 25084, 532, 25501, 20673, 573, 1239, 1903, 7974, 531, 2619, 4137, 1003, 910, 5662, 14062, 236761, 28344, 611, 33205, 506, 2434, 20673, 573, 506, 14850, 116382, 532, 19882, 145920, 236881, 564, 236789, 236757, 6412, 7467, 528, 7675, 15568, 236764, 7675, 2342, 236764, 532, 2066, 1441, 9286, 573, 1546, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 1201, 1083, 623, 67784, 116382, 827, 623, 35365, 236779, 61101, 1083, 236743, 236828, 236778, 236764, 623, 76339, 1083, 236743, 236810, 236771, 236764, 623, 74718, 1083, 236743, 236778, 236771, 236764, 623, 557, 236779, 74718, 1083, 236743, 236770, 236778, 236764, 623, 11116, 1083, 236743, 236770, 236770, 236778, 236764, 623, 53265, 236779, 168143, 1083, 236743, 236800, 236778, 236771, 236764, 623, 53265, 236779, 59677, 1083, 236743, 236778, 236812, 236771, 236764, 623, 10310, 236779, 1555, 236779, 70687, 1083, 623, 236778, 236812, 236761, 236810, 70887, 623, 120438, 236779, 32121, 236779, 70687, 1083, 623, 236828, 236770, 236761, 236778, 70887, 623, 15080, 1083, 236743, 236770, 236764, 623, 58392, 1083, 623, 95956, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 547, 1083, 236743, 236778, 236770, 236764, 623, 1201, 1083, 623, 106806, 145920, 827, 623, 23251, 1083, 3714, 35365, 236779, 61101, 1083, 236743, 236828, 236778, 236764, 623, 76339, 1083, 236743, 236810, 236771, 236764, 623, 74718, 1083, 236743, 236778, 236810, 236764, 623, 557, 236779, 74718, 1083, 236743, 236832, 236764, 623, 53265, 236779, 168143, 1083, 236743, 236800, 236778, 236771, 236764, 623, 53265, 236779, 59677, 1083, 236743, 236778, 236812, 236771, 236764, 623, 10310, 236779, 1555, 236779, 70687, 1083, 623, 236778, 236812, 236761, 236810, 70887, 623, 120438, 236779, 32121, 236779, 70687, 1083, 623, 236828, 236770, 236761, 236778, 70887, 623, 11116, 1083, 236743, 236770, 236771, 236832, 1263, 623, 2244, 1013, 1083, 3714, 58392, 236779, 15080, 1083, 236743, 236770, 236764, 623, 82332, 236779, 15080, 1083, 236743, 236770, 236764, 623, 80043, 236779, 15080, 1083, 236743, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25084, 532, 25501, 9960, 573, 506, 14850, 116382, 568, 18373, 5853, 236743, 236770, 236771, 236768, 532, 19882, 145920, 568, 18373, 5853, 236743, 236778, 236770, 1473, 108, 1018, 18373, 61922, 36520, 53121, 107, 236909, 8446, 23223, 148, 236909, 14850, 116382, 568, 236770, 236771, 236768, 143, 236909, 19882, 145920, 568, 236778, 236770, 236768, 138, 236909, 107, 236909, 2819, 24912, 236909, 2819, 24912, 236909, 2819, 24912, 236909, 107, 236909, 5213, 86158, 2991, 2926, 1018, 145, 236909, 236743, 236800, 236778, 236771, 158, 236909, 236743, 236800, 236778, 236771, 158, 236909, 107, 236909, 5213, 86158, 38104, 1018, 144, 236909, 236743, 236778, 236812, 236771, 158, 236909, 236743, 236778, 236812, 236771, 158, 236909, 107, 236909, 5213, 18312, 9274, 71293, 1018, 236909, 236743, 236778, 236812, 236761, 236810, 236908, 156, 236909, 236743, 236778, 236812, 236761, 236810, 236908, 156, 236909, 107, 236909, 5213, 126083, 45045, 71293, 1018, 1109, 236743, 236828, 236770, 236761, 236778, 236908, 153, 236909, 236743, 236828, 236770, 236761, 236778, 236908, 156, 236909, 107, 236909, 5213, 19622, 1018, 151, 236909, 236743, 236770, 236770, 236778, 158, 236909, 236743, 236770, 236771, 236832, 158, 236909, 107, 236909, 5213, 54763, 30052, 1018, 144, 236909, 236743, 236770, 540, 568, 95956, 236768, 147, 236909, 236743, 236770, 540, 568, 36043, 236768, 148, 236909, 107, 236909, 5213, 77763, 30052, 1018, 146, 236909, 236743, 236770, 540, 158, 236909, 236743, 236778, 523, 158, 236909, 108, 1018, 3503, 76374, 573, 215559, 23610, 53121, 107, 236770, 236761, 10508, 7974, 735, 15779, 25084, 236786, 2063, 4410, 26054, 568, 236800, 236778, 236771, 74659, 236786, 236778, 236812, 236771, 23639, 236768, 840, 1607, 1523, 69570, 753, 3217, 2473, 14850, 735, 236743, 236810, 919, 3298, 9785, 4745, 5671, 3719, 236881, 107, 236778, 236761, 18565, 16590, 2066, 1441, 9286, 236764, 14850, 26867, 236743, 236770, 540, 6782, 1651, 19882, 9258, 506, 236743, 236778, 523, 10338, 753, 1144, 14806, 73854, 2473, 8082, 672, 4954, 236881, 107, 236800, 236761, 10508, 7974, 735, 15779, 20256, 11807, 9286, 753, 1451, 672, 577, 496, 14971, 25411, 528, 910, 5662, 14062, 236881, 108, 38786, 611, 1133, 786, 531, 2541, 1679, 3530, 2290, 12983, 568, 236744, 236761, 236759, 1126, 2033, 7728, 236761, 3121, 3736, 236768, 653, 10769, 1239, 20673, 531, 15284, 52916, 573, 919, 131782, 14608, 236881, 106, 107, 105, 2364, 107, 111936, 600, 1800, 7974, 735, 15779, 20673, 840, 1607, 1523, 69570, 753, 600, 14806, 73854, 18522, 1093, 1386, 1822, 131782, 236888, 4224, 564, 236789, 236753, 1133, 531, 30386, 19276, 1131, 910, 2290, 12983, 236761, 28344, 611, 33205, 506, 2033, 7728, 236761, 3121, 3736, 20673, 573, 1800, 7974, 236881, 39799, 236764, 564, 236789, 236757, 23210, 1003, 910, 2066, 1441, 2630, 6224, 528, 2033, 142734, 14922, 580, 506, 4284, 236764, 532, 1217, 910, 5671, 137312, 10769, 528, 1239, 25521, 236761, 6542, 236764, 1451, 611, 3204, 15284, 52916, 573, 1239, 19455, 531, 2847, 4403, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5000, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 23251, 236779, 7284, 3843, 1083, 3714, 8147, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236778, 236778, 236761, 236812, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236770, 236810, 23179, 623, 14968, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236770, 236828, 236761, 236770, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236832, 236775, 5237, 623, 80043, 236779, 20229, 1283, 1083, 3714, 8147, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236778, 236771, 236761, 236771, 70887, 623, 14968, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236770, 236832, 236761, 236810, 171446, 623, 6875, 236779, 23184, 1083, 623, 8515, 29350, 15281, 3736, 657, 2033, 236764, 607, 496, 236743, 236812, 236761, 236800, 236908, 3715, 2066, 1441, 9286, 5483, 531, 4284, 4972, 236761, 55733, 13992, 7003, 100146, 607, 19573, 236764, 22169, 2033, 236772, 762, 7821, 4100, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5000, 236779, 547, 1083, 236743, 236778, 236770, 236764, 623, 23251, 1083, 3714, 8147, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236778, 236778, 236761, 236810, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236770, 236810, 23179, 623, 14968, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236770, 236828, 236761, 236800, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236810, 23179, 623, 80043, 236779, 20229, 1283, 1083, 3714, 8147, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236778, 236771, 236761, 236771, 70887, 623, 14968, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236770, 236832, 236761, 236810, 70887, 623, 8147, 236779, 29538, 236779, 16417, 236779, 18553, 1083, 10955, 236828, 827, 623, 14968, 236779, 29538, 236779, 16417, 236779, 18553, 1083, 10955, 236778, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 10724, 236779, 9846, 1083, 78493, 547, 1083, 623, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 827, 623, 1201, 1083, 623, 18312, 9274, 21942, 25870, 827, 623, 10618, 1083, 623, 18146, 236779, 68925, 827, 623, 7777, 1083, 623, 64285, 529, 2066, 1441, 7760, 9113, 528, 7675, 23179, 3714, 547, 1083, 623, 29538, 236779, 92520, 236779, 8147, 827, 623, 1201, 1083, 623, 9435, 55733, 54424, 827, 623, 10618, 1083, 623, 101246, 827, 623, 7777, 1083, 623, 73630, 1534, 7675, 15568, 532, 7675, 6208, 528, 2033, 4972, 23179, 3714, 547, 1083, 623, 29538, 236779, 92520, 236779, 7967, 827, 623, 1201, 1083, 623, 42814, 55733, 54424, 827, 623, 10618, 1083, 623, 101246, 827, 623, 7777, 1083, 623, 73630, 1534, 7675, 15568, 532, 7675, 6208, 528, 3121, 4972, 23179, 3714, 547, 1083, 623, 80043, 236779, 18553, 236779, 10310, 236779, 1555, 827, 623, 1201, 1083, 623, 77763, 29748, 7338, 9274, 25870, 827, 623, 10618, 1083, 623, 80043, 236779, 20229, 1283, 827, 623, 7777, 1083, 623, 194668, 236772, 5462, 4398, 2066, 1441, 2630, 3136, 573, 4403, 23179, 3714, 547, 1083, 623, 8147, 236779, 762, 236779, 118028, 827, 623, 1201, 1083, 623, 9435, 9064, 13357, 70231, 827, 623, 10618, 1083, 623, 32677, 827, 623, 7777, 1083, 623, 17561, 10256, 529, 7974, 1056, 5662, 528, 910, 2033, 29451, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 2033, 7728, 236761, 3121, 3736, 9960, 573, 506, 14850, 116382, 532, 19882, 145920, 236764, 2440, 15284, 52916, 573, 4403, 236787, 108, 1018, 9435, 7728, 236761, 60918, 19791, 36520, 53121, 107, 236909, 106022, 157, 236909, 14850, 116382, 568, 9435, 236768, 1109, 14850, 116382, 568, 83627, 236768, 1109, 19882, 145920, 568, 9435, 236768, 1109, 19882, 145920, 568, 83627, 236768, 1109, 52521, 9654, 29748, 1109, 107, 236909, 2819, 40673, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 40673, 236909, 2819, 40673, 236909, 2819, 1040, 236909, 107, 236909, 5213, 18312, 9274, 71293, 1018, 1109, 236743, 236778, 236778, 236761, 236812, 236908, 152, 236909, 236743, 236770, 236828, 236761, 236770, 236908, 152, 236909, 236743, 236778, 236778, 236761, 236810, 236908, 157, 236909, 236743, 236770, 236828, 236761, 236800, 236908, 157, 236909, 236743, 236778, 236771, 236761, 236771, 236908, 568, 9435, 236768, 965, 236743, 236770, 236832, 236761, 236810, 236908, 568, 83627, 236768, 1109, 107, 236909, 5213, 35559, 54424, 1018, 141, 236909, 900, 236770, 236810, 154, 236909, 900, 236832, 155, 236909, 900, 236770, 236810, 159, 236909, 900, 236810, 160, 236909, 900, 236828, 568, 9435, 236768, 965, 900, 236778, 568, 83627, 236768, 1109, 108, 1018, 3503, 76374, 573, 215559, 23610, 53121, 107, 236770, 236761, 5213, 9435, 7338, 9274, 23737, 831, 53121, 138, 107, 139, 22186, 7974, 112530, 506, 15284, 4398, 657, 2033, 568, 236778, 236778, 236761, 236812, 236772, 236778, 236778, 236761, 236810, 236908, 7728, 236761, 236743, 236778, 236771, 28585, 840, 910, 3121, 9286, 568, 236770, 236828, 236761, 236770, 236772, 236770, 236828, 236761, 236800, 236908, 7728, 236761, 236743, 236770, 236832, 236761, 236810, 11376, 563, 1186, 8427, 2480, 236761, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 24249, 2434, 815, 496, 919, 31555, 2033, 236772, 762, 7821, 580, 506, 2066, 1441, 7462, 108, 236778, 236761, 5213, 35559, 54424, 48993, 53121, 138, 107, 139, 67784, 32618, 496, 15281, 3121, 5671, 13992, 32156, 236832, 7728, 236761, 19882, 236789, 236751, 900, 236810, 779, 9785, 3361, 2066, 1441, 6224, 236761, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 11355, 2473, 14850, 735, 496, 2480, 4284, 5671, 13992, 9785, 7109, 15779, 2066, 1441, 9286, 7462, 108, 236800, 236761, 5213, 77763, 17605, 53121, 138, 107, 139, 22186, 7974, 236789, 2033, 5671, 137312, 32156, 236770, 236810, 236768, 2793, 9644, 506, 52521, 4398, 32156, 236828, 779, 840, 910, 3121, 19575, 32156, 236810, 236772, 236832, 236768, 2036, 855, 6046, 506, 15284, 236789, 236751, 900, 236778, 4398, 236761, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 3910, 1623, 2480, 659, 1239, 7974, 657, 2033, 5483, 531, 506, 4398, 52521, 2434, 7462, 108, 236812, 236761, 5213, 171917, 7728, 236761, 17647, 53121, 138, 107, 139, 106806, 236789, 236751, 2066, 1441, 563, 8427, 2480, 657, 2033, 568, 236778, 236778, 236761, 236810, 236908, 7728, 236761, 14850, 236789, 236751, 236743, 236778, 236778, 236761, 236812, 28585, 840, 14850, 236789, 236751, 3121, 5671, 13992, 563, 3972, 19882, 236789, 236751, 32156, 236832, 7728, 236761, 900, 236810, 769, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 3689, 5872, 1451, 8082, 14850, 236789, 236751, 15281, 4284, 3736, 9785, 3541, 236772, 189078, 2803, 7974, 20673, 7462, 108, 1018, 132617, 215559, 10635, 30333, 53121, 107, 236772, 623, 24249, 2434, 236789, 236751, 2033, 2066, 1441, 9286, 563, 236743, 236778, 236761, 236810, 236908, 3715, 1082, 506, 52521, 4398, 7462, 107, 236772, 623, 24249, 2434, 815, 496, 6268, 7266, 236772, 2865, 528, 2066, 1441, 9286, 1056, 5662, 3121, 4972, 7462, 107, 236772, 623, 3910, 1551, 919, 7675, 810, 3409, 1677, 506, 4398, 52521, 2434, 6317, 657, 2033, 5483, 531, 580, 506, 4284, 7462, 568, 7925, 236787, 2578, 236825, 7675, 2721, 580, 900, 236828, 13992, 7728, 236761, 900, 236778, 13992, 236768, 108, 38786, 611, 1133, 786, 531, 8357, 3530, 2290, 12983, 568, 236744, 236761, 236759, 1126, 236743, 236810, 236772, 498, 236772, 236800, 9286, 236768, 653, 2847, 36691, 136031, 573, 1239, 7974, 531, 1138, 4155, 236772, 15396, 131782, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 30123, 131782, 3446, 573, 4690, 532, 1461, 531, 3225, 4137, 580, 1873, 2434, 3736, 236761, 3199, 611, 33205, 506, 6524, 52521, 90915, 531, 8701, 506, 1903, 7974, 236881, 564, 236789, 859, 1202, 4889, 1133, 3298, 532, 3345, 48001, 531, 2619, 20433, 4137, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 78493, 14992, 1083, 623, 67784, 116382, 827, 623, 11116, 1083, 236743, 236770, 236770, 236771, 236764, 623, 76339, 1083, 236743, 236810, 236778, 236764, 623, 74718, 1083, 236743, 236778, 236812, 236764, 623, 557, 236779, 74718, 1083, 236743, 236825, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236828, 236812, 236764, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 95956, 23179, 3714, 14992, 1083, 623, 87866, 57743, 138258, 827, 623, 11116, 1083, 236743, 236770, 236771, 236810, 236764, 623, 76339, 1083, 236743, 236810, 236771, 236764, 623, 74718, 1083, 236743, 236778, 236832, 236764, 623, 557, 236779, 74718, 1083, 236743, 236810, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236810, 236828, 236764, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 95956, 23179, 3714, 14992, 1083, 623, 229882, 8036, 57009, 827, 623, 11116, 1083, 236743, 236770, 236771, 236778, 236764, 623, 76339, 1083, 236743, 236812, 236819, 236764, 623, 74718, 1083, 236743, 236778, 236828, 236764, 623, 557, 236779, 74718, 1083, 236743, 236810, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236812, 236810, 236764, 623, 82332, 1083, 623, 83256, 827, 623, 58392, 1083, 623, 95956, 23179, 3714, 14992, 1083, 623, 106806, 145920, 827, 623, 11116, 1083, 236743, 236770, 236771, 236828, 236764, 623, 76339, 1083, 236743, 236810, 236770, 236764, 623, 74718, 1083, 236743, 236778, 236810, 236764, 623, 557, 236779, 74718, 1083, 236743, 236825, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236832, 236770, 236764, 623, 82332, 1083, 623, 48404, 827, 623, 58392, 1083, 623, 36043, 23179, 3714, 14992, 1083, 623, 236847, 111018, 16522, 45327, 827, 623, 11116, 1083, 236743, 236770, 236771, 236812, 236764, 623, 76339, 1083, 236743, 236812, 236828, 236764, 623, 74718, 1083, 236743, 236778, 236819, 236764, 623, 557, 236779, 74718, 1083, 236743, 236810, 236764, 623, 6328, 236779, 45118, 1083, 236743, 236771, 236761, 236825, 236800, 236778, 236764, 623, 82332, 1083, 623, 48404, 827, 623, 58392, 1083, 623, 47204, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236828, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 52521, 90915, 568, 527, 529, 5261, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 573, 506, 236743, 236778, 236771, 236778, 236812, 236772, 236778, 236771, 236778, 236810, 3409, 236764, 19372, 684, 3298, 236787, 108, 1018, 8534, 46001, 53121, 107, 236770, 236761, 5213, 67784, 116382, 1018, 568, 83256, 236786, 95956, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236770, 236771, 138, 107, 139, 236772, 19558, 236787, 236743, 236810, 236778, 72928, 753, 236743, 236778, 236812, 170938, 753, 236743, 236825, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236828, 236812, 138, 108, 236778, 236761, 5213, 87866, 57743, 138258, 1018, 568, 83256, 236786, 95956, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236810, 138, 107, 139, 236772, 19558, 236787, 236743, 236810, 236771, 72928, 753, 236743, 236778, 236832, 170938, 753, 236743, 236810, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236810, 236828, 138, 108, 236800, 236761, 5213, 106806, 145920, 1018, 568, 48404, 236786, 36043, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236828, 138, 107, 139, 236772, 19558, 236787, 236743, 236810, 236770, 72928, 753, 236743, 236778, 236810, 170938, 753, 236743, 236825, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236832, 236770, 138, 108, 236812, 236761, 5213, 229882, 8036, 57009, 1018, 568, 83256, 236786, 95956, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236778, 138, 107, 139, 236772, 19558, 236787, 236743, 236812, 236819, 72928, 753, 236743, 236778, 236828, 170938, 753, 236743, 236810, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236812, 236810, 138, 108, 236810, 236761, 5213, 236847, 111018, 16522, 45327, 1018, 568, 48404, 236786, 47204, 236768, 138, 107, 139, 236772, 36526, 236787, 236743, 236770, 236771, 236812, 138, 107, 139, 236772, 19558, 236787, 236743, 236812, 236828, 72928, 753, 236743, 236778, 236819, 170938, 753, 236743, 236810, 53341, 170938, 138, 107, 139, 236772, 13357, 2144, 236787, 783, 236825, 236800, 236778, 138, 108, 9208, 20673, 1374, 2583, 611, 5139, 2561, 573, 131782, 4137, 1003, 1873, 2434, 3736, 236761, 21284, 611, 1133, 786, 531, 2541, 1679, 3530, 12669, 1133, 9232, 47551, 653, 11247, 33772, 236881, 106, 107, 105, 2364, 107, 20418, 236764, 1239, 90915, 2583, 786, 496, 5139, 13916, 236761, 12067, 236764, 564, 236789, 236753, 1133, 531, 10769, 25084, 532, 25501, 20673, 573, 1239, 1903, 7974, 531, 2619, 4137, 1003, 910, 5662, 14062, 236761, 28344, 611, 33205, 506, 2434, 20673, 573, 506, 14850, 116382, 532, 19882, 145920, 236881, 564, 236789, 236757, 6412, 7467, 528, 7675, 15568, 236764, 7675, 2342, 236764, 532, 2066, 1441, 9286, 573, 1546, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 1201, 1083, 623, 67784, 116382, 827, 623, 35365, 236779, 61101, 1083, 236743, 236828, 236778, 236764, 623, 76339, 1083, 236743, 236810, 236771, 236764, 623, 74718, 1083, 236743, 236778, 236771, 236764, 623, 557, 236779, 74718, 1083, 236743, 236770, 236778, 236764, 623, 11116, 1083, 236743, 236770, 236770, 236778, 236764, 623, 53265, 236779, 168143, 1083, 236743, 236800, 236778, 236771, 236764, 623, 53265, 236779, 59677, 1083, 236743, 236778, 236812, 236771, 236764, 623, 10310, 236779, 1555, 236779, 70687, 1083, 623, 236778, 236812, 236761, 236810, 70887, 623, 120438, 236779, 32121, 236779, 70687, 1083, 623, 236828, 236770, 236761, 236778, 70887, 623, 15080, 1083, 236743, 236770, 236764, 623, 58392, 1083, 623, 95956, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 547, 1083, 236743, 236778, 236770, 236764, 623, 1201, 1083, 623, 106806, 145920, 827, 623, 23251, 1083, 3714, 35365, 236779, 61101, 1083, 236743, 236828, 236778, 236764, 623, 76339, 1083, 236743, 236810, 236771, 236764, 623, 74718, 1083, 236743, 236778, 236810, 236764, 623, 557, 236779, 74718, 1083, 236743, 236832, 236764, 623, 53265, 236779, 168143, 1083, 236743, 236800, 236778, 236771, 236764, 623, 53265, 236779, 59677, 1083, 236743, 236778, 236812, 236771, 236764, 623, 10310, 236779, 1555, 236779, 70687, 1083, 623, 236778, 236812, 236761, 236810, 70887, 623, 120438, 236779, 32121, 236779, 70687, 1083, 623, 236828, 236770, 236761, 236778, 70887, 623, 11116, 1083, 236743, 236770, 236771, 236832, 1263, 623, 2244, 1013, 1083, 3714, 58392, 236779, 15080, 1083, 236743, 236770, 236764, 623, 82332, 236779, 15080, 1083, 236743, 236770, 236764, 623, 80043, 236779, 15080, 1083, 236743, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25084, 532, 25501, 9960, 573, 506, 14850, 116382, 568, 18373, 5853, 236743, 236770, 236771, 236768, 532, 19882, 145920, 568, 18373, 5853, 236743, 236778, 236770, 1473, 108, 1018, 18373, 61922, 36520, 53121, 107, 236909, 8446, 23223, 148, 236909, 14850, 116382, 568, 236770, 236771, 236768, 143, 236909, 19882, 145920, 568, 236778, 236770, 236768, 138, 236909, 107, 236909, 2819, 24912, 236909, 2819, 24912, 236909, 2819, 24912, 236909, 107, 236909, 5213, 86158, 2991, 2926, 1018, 145, 236909, 236743, 236800, 236778, 236771, 158, 236909, 236743, 236800, 236778, 236771, 158, 236909, 107, 236909, 5213, 86158, 38104, 1018, 144, 236909, 236743, 236778, 236812, 236771, 158, 236909, 236743, 236778, 236812, 236771, 158, 236909, 107, 236909, 5213, 18312, 9274, 71293, 1018, 236909, 236743, 236778, 236812, 236761, 236810, 236908, 156, 236909, 236743, 236778, 236812, 236761, 236810, 236908, 156, 236909, 107, 236909, 5213, 126083, 45045, 71293, 1018, 1109, 236743, 236828, 236770, 236761, 236778, 236908, 153, 236909, 236743, 236828, 236770, 236761, 236778, 236908, 156, 236909, 107, 236909, 5213, 19622, 1018, 151, 236909, 236743, 236770, 236770, 236778, 158, 236909, 236743, 236770, 236771, 236832, 158, 236909, 107, 236909, 5213, 54763, 30052, 1018, 144, 236909, 236743, 236770, 540, 568, 95956, 236768, 147, 236909, 236743, 236770, 540, 568, 36043, 236768, 148, 236909, 107, 236909, 5213, 77763, 30052, 1018, 146, 236909, 236743, 236770, 540, 158, 236909, 236743, 236778, 523, 158, 236909, 108, 1018, 3503, 76374, 573, 215559, 23610, 53121, 107, 236770, 236761, 10508, 7974, 735, 15779, 25084, 236786, 2063, 4410, 26054, 568, 236800, 236778, 236771, 74659, 236786, 236778, 236812, 236771, 23639, 236768, 840, 1607, 1523, 69570, 753, 3217, 2473, 14850, 735, 236743, 236810, 919, 3298, 9785, 4745, 5671, 3719, 236881, 107, 236778, 236761, 18565, 16590, 2066, 1441, 9286, 236764, 14850, 26867, 236743, 236770, 540, 6782, 1651, 19882, 9258, 506, 236743, 236778, 523, 10338, 753, 1144, 14806, 73854, 2473, 8082, 672, 4954, 236881, 107, 236800, 236761, 10508, 7974, 735, 15779, 20256, 11807, 9286, 753, 1451, 672, 577, 496, 14971, 25411, 528, 910, 5662, 14062, 236881, 108, 38786, 611, 1133, 786, 531, 2541, 1679, 3530, 2290, 12983, 568, 236744, 236761, 236759, 1126, 2033, 7728, 236761, 3121, 3736, 236768, 653, 10769, 1239, 20673, 531, 15284, 52916, 573, 919, 131782, 14608, 236881, 106, 107, 105, 2364, 107, 111936, 600, 1800, 7974, 735, 15779, 20673, 840, 1607, 1523, 69570, 753, 600, 14806, 73854, 18522, 1093, 1386, 1822, 131782, 236888, 4224, 564, 236789, 236753, 1133, 531, 30386, 19276, 1131, 910, 2290, 12983, 236761, 28344, 611, 33205, 506, 2033, 7728, 236761, 3121, 3736, 20673, 573, 1800, 7974, 236881, 39799, 236764, 564, 236789, 236757, 23210, 1003, 910, 2066, 1441, 2630, 6224, 528, 2033, 142734, 14922, 580, 506, 4284, 236764, 532, 1217, 910, 5671, 137312, 10769, 528, 1239, 25521, 236761, 6542, 236764, 1451, 611, 3204, 15284, 52916, 573, 1239, 19455, 531, 2847, 4403, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5000, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 23251, 236779, 7284, 3843, 1083, 3714, 8147, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236778, 236778, 236761, 236812, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236770, 236810, 23179, 623, 14968, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236770, 236828, 236761, 236770, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236832, 236775, 5237, 623, 80043, 236779, 20229, 1283, 1083, 3714, 8147, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236778, 236771, 236761, 236771, 70887, 623, 14968, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236770, 236832, 236761, 236810, 171446, 623, 6875, 236779, 23184, 1083, 623, 8515, 29350, 15281, 3736, 657, 2033, 236764, 607, 496, 236743, 236812, 236761, 236800, 236908, 3715, 2066, 1441, 9286, 5483, 531, 4284, 4972, 236761, 55733, 13992, 7003, 100146, 607, 19573, 236764, 22169, 2033, 236772, 762, 7821, 4100, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5000, 236779, 547, 1083, 236743, 236778, 236770, 236764, 623, 23251, 1083, 3714, 8147, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236778, 236778, 236761, 236810, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236770, 236810, 23179, 623, 14968, 1083, 3714, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 1083, 623, 236770, 236828, 236761, 236800, 70887, 623, 29538, 236779, 92520, 1083, 10955, 236810, 23179, 623, 80043, 236779, 20229, 1283, 1083, 3714, 8147, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236778, 236771, 236761, 236771, 70887, 623, 14968, 236779, 10310, 236779, 1555, 236779, 18553, 1083, 623, 236770, 236832, 236761, 236810, 70887, 623, 8147, 236779, 29538, 236779, 16417, 236779, 18553, 1083, 10955, 236828, 827, 623, 14968, 236779, 29538, 236779, 16417, 236779, 18553, 1083, 10955, 236778, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 10724, 236779, 9846, 1083, 78493, 547, 1083, 623, 10310, 236779, 1555, 236779, 10934, 236779, 4720, 827, 623, 1201, 1083, 623, 18312, 9274, 21942, 25870, 827, 623, 10618, 1083, 623, 18146, 236779, 68925, 827, 623, 7777, 1083, 623, 64285, 529, 2066, 1441, 7760, 9113, 528, 7675, 23179, 3714, 547, 1083, 623, 29538, 236779, 92520, 236779, 8147, 827, 623, 1201, 1083, 623, 9435, 55733, 54424, 827, 623, 10618, 1083, 623, 101246, 827, 623, 7777, 1083, 623, 73630, 1534, 7675, 15568, 532, 7675, 6208, 528, 2033, 4972, 23179, 3714, 547, 1083, 623, 29538, 236779, 92520, 236779, 7967, 827, 623, 1201, 1083, 623, 42814, 55733, 54424, 827, 623, 10618, 1083, 623, 101246, 827, 623, 7777, 1083, 623, 73630, 1534, 7675, 15568, 532, 7675, 6208, 528, 3121, 4972, 23179, 3714, 547, 1083, 623, 80043, 236779, 18553, 236779, 10310, 236779, 1555, 827, 623, 1201, 1083, 623, 77763, 29748, 7338, 9274, 25870, 827, 623, 10618, 1083, 623, 80043, 236779, 20229, 1283, 827, 623, 7777, 1083, 623, 194668, 236772, 5462, 4398, 2066, 1441, 2630, 3136, 573, 4403, 23179, 3714, 547, 1083, 623, 8147, 236779, 762, 236779, 118028, 827, 623, 1201, 1083, 623, 9435, 9064, 13357, 70231, 827, 623, 10618, 1083, 623, 32677, 827, 623, 7777, 1083, 623, 17561, 10256, 529, 7974, 1056, 5662, 528, 910, 2033, 29451, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 2033, 7728, 236761, 3121, 3736, 9960, 573, 506, 14850, 116382, 532, 19882, 145920, 236764, 2440, 15284, 52916, 573, 4403, 236787, 108, 1018, 9435, 7728, 236761, 60918, 19791, 36520, 53121, 107, 236909, 106022, 157, 236909, 14850, 116382, 568, 9435, 236768, 1109, 14850, 116382, 568, 83627, 236768, 1109, 19882, 145920, 568, 9435, 236768, 1109, 19882, 145920, 568, 83627, 236768, 1109, 52521, 9654, 29748, 1109, 107, 236909, 2819, 40673, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 40673, 236909, 2819, 40673, 236909, 2819, 1040, 236909, 107, 236909, 5213, 18312, 9274, 71293, 1018, 1109, 236743, 236778, 236778, 236761, 236812, 236908, 152, 236909, 236743, 236770, 236828, 236761, 236770, 236908, 152, 236909, 236743, 236778, 236778, 236761, 236810, 236908, 157, 236909, 236743, 236770, 236828, 236761, 236800, 236908, 157, 236909, 236743, 236778, 236771, 236761, 236771, 236908, 568, 9435, 236768, 965, 236743, 236770, 236832, 236761, 236810, 236908, 568, 83627, 236768, 1109, 107, 236909, 5213, 35559, 54424, 1018, 141, 236909, 900, 236770, 236810, 154, 236909, 900, 236832, 155, 236909, 900, 236770, 236810, 159, 236909, 900, 236810, 160, 236909, 900, 236828, 568, 9435, 236768, 965, 900, 236778, 568, 83627, 236768, 1109, 108, 1018, 3503, 76374, 573, 215559, 23610, 53121, 107, 236770, 236761, 5213, 9435, 7338, 9274, 23737, 831, 53121, 138, 107, 139, 22186, 7974, 112530, 506, 15284, 4398, 657, 2033, 568, 236778, 236778, 236761, 236812, 236772, 236778, 236778, 236761, 236810, 236908, 7728, 236761, 236743, 236778, 236771, 28585, 840, 910, 3121, 9286, 568, 236770, 236828, 236761, 236770, 236772, 236770, 236828, 236761, 236800, 236908, 7728, 236761, 236743, 236770, 236832, 236761, 236810, 11376, 563, 1186, 8427, 2480, 236761, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 24249, 2434, 815, 496, 919, 31555, 2033, 236772, 762, 7821, 580, 506, 2066, 1441, 7462, 108, 236778, 236761, 5213, 35559, 54424, 48993, 53121, 138, 107, 139, 67784, 32618, 496, 15281, 3121, 5671, 13992, 32156, 236832, 7728, 236761, 19882, 236789, 236751, 900, 236810, 779, 9785, 3361, 2066, 1441, 6224, 236761, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 11355, 2473, 14850, 735, 496, 2480, 4284, 5671, 13992, 9785, 7109, 15779, 2066, 1441, 9286, 7462, 108, 236800, 236761, 5213, 77763, 17605, 53121, 138, 107, 139, 22186, 7974, 236789, 2033, 5671, 137312, 32156, 236770, 236810, 236768, 2793, 9644, 506, 52521, 4398, 32156, 236828, 779, 840, 910, 3121, 19575, 32156, 236810, 236772, 236832, 236768, 2036, 855, 6046, 506, 15284, 236789, 236751, 900, 236778, 4398, 236761, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 3910, 1623, 2480, 659, 1239, 7974, 657, 2033, 5483, 531, 506, 4398, 52521, 2434, 7462, 108, 236812, 236761, 5213, 171917, 7728, 236761, 17647, 53121, 138, 107, 139, 106806, 236789, 236751, 2066, 1441, 563, 8427, 2480, 657, 2033, 568, 236778, 236778, 236761, 236810, 236908, 7728, 236761, 14850, 236789, 236751, 236743, 236778, 236778, 236761, 236812, 28585, 840, 14850, 236789, 236751, 3121, 5671, 13992, 563, 3972, 19882, 236789, 236751, 32156, 236832, 7728, 236761, 900, 236810, 769, 138, 107, 139, 236829, 231323, 7275, 149681, 623, 3689, 5872, 1451, 8082, 14850, 236789, 236751, 15281, 4284, 3736, 9785, 3541, 236772, 189078, 2803, 7974, 20673, 7462, 108, 1018, 132617, 215559, 10635, 30333, 53121, 107, 236772, 623, 24249, 2434, 236789, 236751, 2033, 2066, 1441, 9286, 563, 236743, 236778, 236761, 236810, 236908, 3715, 1082, 506, 52521, 4398, 7462, 107, 236772, 623, 24249, 2434, 815, 496, 6268, 7266, 236772, 2865, 528, 2066, 1441, 9286, 1056, 5662, 3121, 4972, 7462, 107, 236772, 623, 3910, 1551, 919, 7675, 810, 3409, 1677, 506, 4398, 52521, 2434, 6317, 657, 2033, 5483, 531, 580, 506, 4284, 7462, 568, 7925, 236787, 2578, 236825, 7675, 2721, 580, 900, 236828, 13992, 7728, 236761, 900, 236778, 13992, 236768, 108, 38786, 611, 1133, 786, 531, 8357, 3530, 2290, 12983, 568, 236744, 236761, 236759, 1126, 236743, 236810, 236772, 498, 236772, 236800, 9286, 236768, 653, 2847, 36691, 136031, 573, 1239, 7974, 531, 1138, 4155, 236772, 15396, 131782, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236888, 564, 236789, 236757, 106130, 236764, 496, 2147, 74109, 1590, 528, 86379, 6914, 236761, 564, 236789, 236757, 4875, 531, 5039, 496, 29259, 2354, 531, 496, 4430, 532, 1202, 506, 2587, 65911, 236862, 236812, 3393, 573, 86379, 6914, 236764, 11404, 236761, 564, 1186, 735, 496, 11409, 65911, 529, 756, 236832, 236771, 236771, 6748, 28344, 611, 1171, 16807, 600, 86379, 6914, 563, 496, 4341, 3207, 528, 506, 2590, 684, 1699, 506, 974, 236779, 14801, 5059, 236779, 13319, 236779, 1516, 5904, 573, 2891, 756, 27211, 4184, 103709, 4298, 236764, 5091, 1161, 506, 88451, 236779, 15905, 38548, 236779, 15905, 236812, 5904, 607, 218587, 756, 236832, 236771, 236771, 236789, 531, 1586, 506, 3530, 65911, 236862, 236812, 573, 506, 3207, 236761, 11017, 834, 1623, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 236814, 21660, 6914, 827, 623, 4199, 3773, 827, 623, 18939, 13245, 827, 623, 49548, 827, 623, 110654, 827, 623, 103699, 827, 623, 104561, 827, 623, 23243, 22982, 827, 623, 23243, 20587, 827, 623, 120384, 827, 623, 23243, 10503, 827, 623, 107305, 827, 623, 67986, 6914, 827, 623, 32708, 35900, 827, 623, 205192, 827, 623, 23243, 14322, 827, 623, 126542, 827, 623, 220564, 827, 623, 112421, 827, 623, 154471, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 827, 623, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236778, 827, 623, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236800, 99471, 106, 107, 105, 4368, 107, 818, 2587, 65911, 236862, 236812, 3393, 573, 86379, 6914, 236764, 11404, 236764, 2721, 580, 506, 3847, 11409, 65911, 623, 236832, 236771, 236771, 236775, 563, 5213, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 84750, 1174, 563, 506, 5905, 88451, 25394, 573, 506, 65911, 3225, 3393, 623, 236832, 236771, 236771, 236810, 236832, 236775, 5143, 607, 86379, 6914, 236761, 236743, 108, 2542, 79327, 236764, 5330, 672, 65911, 236862, 236812, 563, 1456, 5467, 573, 822, 2354, 8341, 236761, 3792, 786, 1281, 768, 3342, 28250, 563, 4354, 236888, 106, 107, 105, 2364, 107, 20470, 236764, 564, 4733, 531, 9128, 86379, 6914, 563, 496, 4341, 3207, 1171, 1699, 974, 236779, 14801, 5059, 236779, 13319, 236779, 1516, 573, 506, 3640, 4184, 236761, 15258, 611, 2426, 600, 236881, 564, 740, 236789, 236745, 4652, 15656, 29259, 9413, 531, 496, 1908, 236772, 65646, 4563, 236761, 3792, 236789, 236751, 1502, 607, 92578, 506, 3207, 1463, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 818, 3207, 529, 5213, 236814, 21660, 6914, 1018, 815, 1010, 10778, 618, 496, 4341, 4563, 528, 506, 3640, 4184, 1343, 506, 2165, 828, 236779, 14801, 5059, 236779, 13319, 236779, 1516, 236929, 5904, 236761, 669, 5904, 236789, 236751, 3072, 25010, 9456, 623, 236814, 21660, 6914, 236775, 3571, 506, 9979, 573, 506, 3640, 4184, 568, 14801, 3393, 236787, 8288, 236786, 3118, 779, 49378, 1061, 28100, 236761, 236743, 108, 2542, 506, 65911, 236862, 236812, 3393, 236764, 506, 2165, 111498, 236779, 15905, 38548, 236779, 15905, 236812, 236929, 5904, 607, 3225, 65911, 623, 236832, 236771, 236771, 236775, 8323, 5213, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 1018, 618, 506, 5905, 25394, 236761, 1174, 12853, 86379, 6914, 236764, 11404, 568, 236746, 3224, 3207, 528, 842, 236761, 11791, 46582, 236764, 33240, 779, 532, 563, 506, 4338, 65911, 236862, 236812, 573, 506, 2433, 236761, 236743, 108, 1018, 17667, 26093, 66515, 138, 107, 236772, 113452, 86379, 6914, 563, 496, 4341, 749, 236761, 236773, 236761, 3207, 236761, 138, 107, 236772, 113452, 10456, 65911, 236862, 236812, 236787, 5213, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 1018, 568, 1708, 86379, 6914, 236764, 11404, 769, 138, 108, 2094, 65911, 236862, 236812, 563, 5508, 573, 822, 29259, 2354, 8341, 236761, 3792, 786, 1281, 768, 3342, 18256, 563, 3149, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236888, 564, 236789, 236757, 106130, 236764, 496, 2147, 74109, 1590, 528, 86379, 6914, 236761, 564, 236789, 236757, 4875, 531, 5039, 496, 29259, 2354, 531, 496, 4430, 532, 1202, 506, 2587, 65911, 236862, 236812, 3393, 573, 86379, 6914, 236764, 11404, 236761, 564, 1186, 735, 496, 11409, 65911, 529, 756, 236832, 236771, 236771, 6748, 28344, 611, 1171, 16807, 600, 86379, 6914, 563, 496, 4341, 3207, 528, 506, 2590, 684, 1699, 506, 974, 236779, 14801, 5059, 236779, 13319, 236779, 1516, 5904, 573, 2891, 756, 27211, 4184, 103709, 4298, 236764, 5091, 1161, 506, 88451, 236779, 15905, 38548, 236779, 15905, 236812, 5904, 607, 218587, 756, 236832, 236771, 236771, 236789, 531, 1586, 506, 3530, 65911, 236862, 236812, 573, 506, 3207, 236761, 11017, 834, 1623, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 236814, 21660, 6914, 827, 623, 4199, 3773, 827, 623, 18939, 13245, 827, 623, 49548, 827, 623, 110654, 827, 623, 103699, 827, 623, 104561, 827, 623, 23243, 22982, 827, 623, 23243, 20587, 827, 623, 120384, 827, 623, 23243, 10503, 827, 623, 107305, 827, 623, 67986, 6914, 827, 623, 32708, 35900, 827, 623, 205192, 827, 623, 23243, 14322, 827, 623, 126542, 827, 623, 220564, 827, 623, 112421, 827, 623, 154471, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 827, 623, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236778, 827, 623, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236800, 99471, 106, 107, 105, 4368, 107, 818, 2587, 65911, 236862, 236812, 3393, 573, 86379, 6914, 236764, 11404, 236764, 2721, 580, 506, 3847, 11409, 65911, 623, 236832, 236771, 236771, 236775, 563, 5213, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 84750, 1174, 563, 506, 5905, 88451, 25394, 573, 506, 65911, 3225, 3393, 623, 236832, 236771, 236771, 236810, 236832, 236775, 5143, 607, 86379, 6914, 236761, 236743, 108, 2542, 79327, 236764, 5330, 672, 65911, 236862, 236812, 563, 1456, 5467, 573, 822, 2354, 8341, 236761, 3792, 786, 1281, 768, 3342, 28250, 563, 4354, 236888, 106, 107, 105, 2364, 107, 20470, 236764, 564, 4733, 531, 9128, 86379, 6914, 563, 496, 4341, 3207, 1171, 1699, 974, 236779, 14801, 5059, 236779, 13319, 236779, 1516, 573, 506, 3640, 4184, 236761, 15258, 611, 2426, 600, 236881, 564, 740, 236789, 236745, 4652, 15656, 29259, 9413, 531, 496, 1908, 236772, 65646, 4563, 236761, 3792, 236789, 236751, 1502, 607, 92578, 506, 3207, 1463, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 818, 3207, 529, 5213, 236814, 21660, 6914, 1018, 815, 1010, 10778, 618, 496, 4341, 4563, 528, 506, 3640, 4184, 1343, 506, 2165, 828, 236779, 14801, 5059, 236779, 13319, 236779, 1516, 236929, 5904, 236761, 669, 5904, 236789, 236751, 3072, 25010, 9456, 623, 236814, 21660, 6914, 236775, 3571, 506, 9979, 573, 506, 3640, 4184, 568, 14801, 3393, 236787, 8288, 236786, 3118, 779, 49378, 1061, 28100, 236761, 236743, 108, 2542, 506, 65911, 236862, 236812, 3393, 236764, 506, 2165, 111498, 236779, 15905, 38548, 236779, 15905, 236812, 236929, 5904, 607, 3225, 65911, 623, 236832, 236771, 236771, 236775, 8323, 5213, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 1018, 618, 506, 5905, 25394, 236761, 1174, 12853, 86379, 6914, 236764, 11404, 568, 236746, 3224, 3207, 528, 842, 236761, 11791, 46582, 236764, 33240, 779, 532, 563, 506, 4338, 65911, 236862, 236812, 573, 506, 2433, 236761, 236743, 108, 1018, 17667, 26093, 66515, 138, 107, 236772, 113452, 86379, 6914, 563, 496, 4341, 749, 236761, 236773, 236761, 3207, 236761, 138, 107, 236772, 113452, 10456, 65911, 236862, 236812, 236787, 5213, 236832, 236771, 236771, 236810, 236832, 236772, 236771, 236771, 236771, 236770, 1018, 568, 1708, 86379, 6914, 236764, 11404, 769, 138, 108, 2094, 65911, 236862, 236812, 563, 5508, 573, 822, 29259, 2354, 8341, 236761, 3792, 786, 1281, 768, 3342, 18256, 563, 3149, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3407, 1759, 236772, 2289, 2862, 12657, 573, 87342, 236798, 236764, 16861, 3692, 236764, 8151, 89387, 236764, 532, 34654, 11319, 236761, 106, 107, 105, 4368, 107, 818, 6436, 3847, 776, 711, 3204, 496, 1292, 573, 67931, 1759, 236772, 2289, 2862, 12657, 236761, 669, 2487, 6436, 740, 1186, 33205, 11858, 2862, 6527, 568, 236744, 236761, 236759, 1126, 2165, 18308, 236779, 62938, 59740, 7094, 11461, 568, 236744, 236761, 236759, 1126, 2165, 27163, 236779, 37236, 59740, 653, 4856, 3733, 161872, 4889, 568, 236744, 236761, 236759, 1126, 2165, 4256, 59395, 10170, 236772, 2289, 2862, 1262, 563, 711, 8008, 607, 506, 1873, 5904, 1025, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1759, 236772, 2289, 2862, 12657, 573, 87342, 236798, 236764, 16861, 3692, 236764, 8151, 89387, 236764, 532, 34654, 11319, 236761, 106, 107, 105, 4368, 107, 818, 6436, 3847, 776, 711, 3204, 496, 1292, 573, 67931, 1759, 236772, 2289, 2862, 12657, 236761, 669, 2487, 6436, 740, 1186, 33205, 11858, 2862, 6527, 568, 236744, 236761, 236759, 1126, 2165, 18308, 236779, 62938, 59740, 7094, 11461, 568, 236744, 236761, 236759, 1126, 2165, 27163, 236779, 37236, 59740, 653, 4856, 3733, 161872, 4889, 568, 236744, 236761, 236759, 1126, 2165, 4256, 59395, 10170, 236772, 2289, 2862, 1262, 563, 711, 8008, 607, 506, 1873, 5904, 1025, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2523, 17640, 531, 23498, 2148, 2297, 532, 1202, 531, 7352, 1041, 23058, 7715, 531, 100608, 573, 11459, 6995, 236761, 28344, 611, 2847, 506, 1873, 8770, 3136, 699, 2590, 92523, 531, 100608, 236881, 564, 1461, 531, 5330, 564, 2881, 573, 1418, 55890, 1056, 47154, 1023, 81124, 236764, 16083, 236764, 532, 4588, 5384, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1873, 8770, 3136, 699, 2590, 92523, 568, 38556, 236768, 531, 100608, 568, 79271, 236768, 563, 5213, 236771, 236761, 236819, 236778, 125546, 618, 529, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 657, 236743, 236770, 236778, 236787, 236800, 236812, 8711, 59528, 236761, 1174, 3136, 795, 1601, 611, 7352, 822, 23058, 7715, 531, 100608, 573, 6995, 8616, 236761, 236743, 108, 10081, 8770, 6224, 130712, 236764, 564, 5840, 16329, 1570, 12532, 531, 822, 4301, 3433, 573, 506, 1346, 11459, 14274, 236761, 1637, 611, 4024, 822, 2558, 23058, 7715, 236764, 564, 740, 9279, 506, 4453, 16152, 2886, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 2523, 17640, 531, 23498, 2148, 2297, 532, 1202, 531, 7352, 1041, 23058, 7715, 531, 100608, 573, 11459, 6995, 236761, 28344, 611, 2847, 506, 1873, 8770, 3136, 699, 2590, 92523, 531, 100608, 236881, 564, 1461, 531, 5330, 564, 2881, 573, 1418, 55890, 1056, 47154, 1023, 81124, 236764, 16083, 236764, 532, 4588, 5384, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1873, 8770, 3136, 699, 2590, 92523, 568, 38556, 236768, 531, 100608, 568, 79271, 236768, 563, 5213, 236771, 236761, 236819, 236778, 125546, 618, 529, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 657, 236743, 236770, 236778, 236787, 236800, 236812, 8711, 59528, 236761, 1174, 3136, 795, 1601, 611, 7352, 822, 23058, 7715, 531, 100608, 573, 6995, 8616, 236761, 236743, 108, 10081, 8770, 6224, 130712, 236764, 564, 5840, 16329, 1570, 12532, 531, 822, 4301, 3433, 573, 506, 1346, 11459, 14274, 236761, 1637, 611, 4024, 822, 2558, 23058, 7715, 236764, 564, 740, 9279, 506, 4453, 16152, 2886, 573, 611, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1041, 16038, 26100, 23538, 9735, 528, 140209, 3593, 236761, 5315, 236764, 1586, 236743, 236800, 2523, 236772, 18865, 12616, 2351, 236743, 236770, 236771, 7635, 600, 7298, 83862, 18917, 753, 1041, 2434, 18178, 5931, 2780, 1308, 5428, 236761, 4298, 236764, 2426, 9593, 236789, 236751, 4889, 573, 4122, 55816, 607, 9447, 1204, 603, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 531, 10769, 6527, 236761, 13472, 236764, 8091, 872, 1027, 115613, 1003, 22293, 8568, 4749, 528, 19882, 531, 9128, 9841, 6035, 236761, 7062, 236764, 532, 768, 1027, 2918, 16737, 496, 90609, 236764, 1164, 1531, 786, 1281, 1217, 611, 236789, 236753, 6060, 625, 22793, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 818, 54866, 32805, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 140209, 3593, 827, 623, 230586, 1083, 623, 14645, 827, 623, 9707, 236779, 8572, 1083, 623, 114292, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236770, 236764, 623, 16518, 1083, 11058, 10774, 236772, 18865, 827, 623, 20287, 236762, 22292, 827, 623, 22625, 725, 2487, 152254, 3714, 1201, 1083, 623, 236799, 3352, 3593, 56179, 118108, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 236764, 140209, 3593, 827, 623, 230586, 1083, 623, 14645, 827, 623, 9707, 236779, 8572, 1083, 623, 114292, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236810, 236761, 236828, 236764, 623, 16518, 1083, 11058, 10774, 236772, 18865, 827, 623, 200847, 66276, 827, 623, 184227, 3835, 152254, 3714, 1201, 1083, 623, 71878, 184780, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 33518, 16351, 236764, 140209, 3593, 827, 623, 230586, 1083, 623, 14645, 827, 623, 9707, 236779, 8572, 1083, 623, 114292, 827, 623, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236828, 236761, 236800, 236764, 623, 16518, 1083, 11058, 10774, 236772, 18865, 827, 623, 132259, 36448, 827, 623, 60265, 6831, 99471, 1604, 623, 2305, 236779, 12485, 236779, 100403, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 39460, 13060, 1229, 17263, 1700, 507, 753, 5833, 529, 236743, 236825, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 39460, 13060, 1229, 236772, 42478, 236772, 1505, 507, 236772, 3974, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 827, 623, 16518, 1083, 11058, 13238, 236772, 32463, 11167, 2258, 827, 623, 236796, 28520, 16721, 3225, 827, 623, 17095, 96781, 1702, 573, 3735, 6310, 14255, 623, 62856, 1083, 623, 39460, 236761, 854, 8381, 24694, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5742, 54143, 1083, 78493, 15884, 1083, 623, 3689, 22779, 659, 3149, 531, 4253, 496, 8568, 2460, 528, 19882, 32109, 623, 14433, 1083, 623, 3500, 54213, 1921, 3011, 496, 88086, 12209, 80837, 699, 506, 2263, 10028, 2404, 7920, 532, 496, 10624, 31698, 80837, 699, 506, 3207, 236786, 78660, 3251, 236761, 25275, 6035, 1149, 5510, 573, 10812, 2509, 653, 58871, 5057, 221476, 3714, 15884, 1083, 623, 14219, 993, 3530, 8657, 6035, 32109, 623, 14433, 1083, 623, 10784, 236764, 784, 4749, 1921, 6081, 2870, 19096, 8657, 6131, 236770, 236792, 7081, 236768, 532, 7683, 236789, 15880, 12606, 236761, 36643, 529, 8657, 1921, 577, 13450, 236743, 236800, 236771, 2668, 4487, 531, 506, 2460, 221476, 3714, 15884, 1083, 623, 3689, 659, 506, 58658, 573, 9841, 6182, 32109, 623, 14433, 1083, 623, 34415, 1921, 577, 13450, 657, 3198, 236743, 236825, 236771, 2668, 1680, 506, 2460, 3433, 236761, 35588, 6182, 1149, 577, 3660, 531, 183862, 8487, 12412, 221476, 3714, 15884, 1083, 623, 14219, 993, 14523, 580, 2460, 11024, 32109, 623, 14433, 1083, 623, 19033, 3914, 577, 4247, 2351, 236743, 236810, 236771, 236771, 6172, 529, 7958, 236764, 20990, 236764, 653, 17448, 4106, 2180, 2803, 13196, 699, 506, 2263, 68420, 3905, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 1938, 573, 822, 26100, 23538, 9735, 236787, 108, 1018, 236770, 236761, 29223, 28636, 568, 23301, 236772, 83899, 236764, 54866, 10353, 1473, 1018, 107, 236772, 5213, 818, 54866, 32805, 1018, 138, 107, 138, 236770, 236778, 236800, 6400, 842, 568, 236778, 236761, 236770, 7635, 3121, 236768, 138, 107, 138, 27144, 236787, 19657, 236762, 22292, 236764, 181235, 236764, 236743, 236812, 236761, 236810, 240281, 138, 107, 236772, 5213, 236799, 3352, 3593, 56179, 118108, 1018, 138, 107, 138, 236812, 236810, 236825, 20690, 18977, 568, 236810, 236761, 236828, 7635, 3121, 236768, 138, 107, 138, 27144, 236787, 4504, 15320, 66276, 236764, 46898, 3835, 236764, 236743, 236812, 236761, 236778, 240281, 138, 107, 236772, 5213, 71878, 184780, 1018, 138, 107, 138, 236832, 236828, 236819, 33518, 16351, 568, 236828, 236761, 236800, 7635, 3121, 236768, 138, 107, 138, 27144, 236787, 26451, 6831, 236764, 13932, 36448, 236764, 236743, 236812, 236761, 236771, 240281, 138, 108, 1018, 236778, 236761, 9593, 17263, 1700, 507, 568, 2371, 1204, 603, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 1473, 1018, 138, 107, 236772, 7303, 236787, 9593, 13060, 1229, 17263, 1700, 507, 568, 3974, 529, 236743, 236825, 236768, 138, 107, 236772, 14584, 236787, 609, 236770, 236812, 236761, 236819, 236819, 568, 38556, 236768, 138, 107, 236772, 75669, 236787, 799, 13827, 138, 107, 236772, 9533, 25772, 236787, 4819, 236772, 32463, 11167, 236764, 22937, 16721, 3225, 236764, 145921, 1702, 138, 107, 236772, 870, 7163, 10297, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 39460, 13060, 1229, 236772, 42478, 236772, 1505, 507, 236772, 3974, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 236768, 108, 1018, 236800, 236761, 19882, 14669, 12209, 80837, 33197, 53121, 138, 107, 236772, 5213, 18463, 1258, 114314, 66515, 88086, 12209, 80837, 568, 78660, 2404, 99574, 236768, 900, 10624, 31698, 80837, 568, 13319, 236786, 78660, 87405, 236768, 138, 107, 236772, 5213, 110553, 31026, 66515, 609, 236770, 236792, 19096, 900, 7683, 236789, 777, 568, 11958, 236743, 236800, 236771, 2668, 4487, 236768, 138, 107, 236772, 5213, 6776, 96798, 66515, 236743, 236825, 236771, 2668, 1680, 2460, 138, 107, 236772, 5213, 6375, 130726, 66515, 2301, 4749, 2351, 236743, 236810, 236771, 236771, 6172, 529, 7958, 236786, 236754, 178020, 2180, 13196, 138, 108, 1018, 3771, 4801, 4073, 26109, 1018, 236888, 2343, 6555, 7723, 10428, 236761, 21284, 611, 1133, 531, 11327, 24277, 568, 236744, 236761, 236759, 1126, 6253, 9180, 18774, 236764, 2426, 43365, 1698, 21212, 236764, 653, 37386, 3530, 9841, 4889, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1041, 16038, 26100, 23538, 9735, 528, 140209, 3593, 236761, 5315, 236764, 1586, 236743, 236800, 2523, 236772, 18865, 12616, 2351, 236743, 236770, 236771, 7635, 600, 7298, 83862, 18917, 753, 1041, 2434, 18178, 5931, 2780, 1308, 5428, 236761, 4298, 236764, 2426, 9593, 236789, 236751, 4889, 573, 4122, 55816, 607, 9447, 1204, 603, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 531, 10769, 6527, 236761, 13472, 236764, 8091, 872, 1027, 115613, 1003, 22293, 8568, 4749, 528, 19882, 531, 9128, 9841, 6035, 236761, 7062, 236764, 532, 768, 1027, 2918, 16737, 496, 90609, 236764, 1164, 1531, 786, 1281, 1217, 611, 236789, 236753, 6060, 625, 22793, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 818, 54866, 32805, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 140209, 3593, 827, 623, 230586, 1083, 623, 14645, 827, 623, 9707, 236779, 8572, 1083, 623, 114292, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236770, 236764, 623, 16518, 1083, 11058, 10774, 236772, 18865, 827, 623, 20287, 236762, 22292, 827, 623, 22625, 725, 2487, 152254, 3714, 1201, 1083, 623, 236799, 3352, 3593, 56179, 118108, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 236764, 140209, 3593, 827, 623, 230586, 1083, 623, 14645, 827, 623, 9707, 236779, 8572, 1083, 623, 114292, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236810, 236761, 236828, 236764, 623, 16518, 1083, 11058, 10774, 236772, 18865, 827, 623, 200847, 66276, 827, 623, 184227, 3835, 152254, 3714, 1201, 1083, 623, 71878, 184780, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 33518, 16351, 236764, 140209, 3593, 827, 623, 230586, 1083, 623, 14645, 827, 623, 9707, 236779, 8572, 1083, 623, 114292, 827, 623, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236828, 236761, 236800, 236764, 623, 16518, 1083, 11058, 10774, 236772, 18865, 827, 623, 132259, 36448, 827, 623, 60265, 6831, 99471, 1604, 623, 2305, 236779, 12485, 236779, 100403, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 39460, 13060, 1229, 17263, 1700, 507, 753, 5833, 529, 236743, 236825, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 39460, 13060, 1229, 236772, 42478, 236772, 1505, 507, 236772, 3974, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 827, 623, 16518, 1083, 11058, 13238, 236772, 32463, 11167, 2258, 827, 623, 236796, 28520, 16721, 3225, 827, 623, 17095, 96781, 1702, 573, 3735, 6310, 14255, 623, 62856, 1083, 623, 39460, 236761, 854, 8381, 24694, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5742, 54143, 1083, 78493, 15884, 1083, 623, 3689, 22779, 659, 3149, 531, 4253, 496, 8568, 2460, 528, 19882, 32109, 623, 14433, 1083, 623, 3500, 54213, 1921, 3011, 496, 88086, 12209, 80837, 699, 506, 2263, 10028, 2404, 7920, 532, 496, 10624, 31698, 80837, 699, 506, 3207, 236786, 78660, 3251, 236761, 25275, 6035, 1149, 5510, 573, 10812, 2509, 653, 58871, 5057, 221476, 3714, 15884, 1083, 623, 14219, 993, 3530, 8657, 6035, 32109, 623, 14433, 1083, 623, 10784, 236764, 784, 4749, 1921, 6081, 2870, 19096, 8657, 6131, 236770, 236792, 7081, 236768, 532, 7683, 236789, 15880, 12606, 236761, 36643, 529, 8657, 1921, 577, 13450, 236743, 236800, 236771, 2668, 4487, 531, 506, 2460, 221476, 3714, 15884, 1083, 623, 3689, 659, 506, 58658, 573, 9841, 6182, 32109, 623, 14433, 1083, 623, 34415, 1921, 577, 13450, 657, 3198, 236743, 236825, 236771, 2668, 1680, 506, 2460, 3433, 236761, 35588, 6182, 1149, 577, 3660, 531, 183862, 8487, 12412, 221476, 3714, 15884, 1083, 623, 14219, 993, 14523, 580, 2460, 11024, 32109, 623, 14433, 1083, 623, 19033, 3914, 577, 4247, 2351, 236743, 236810, 236771, 236771, 6172, 529, 7958, 236764, 20990, 236764, 653, 17448, 4106, 2180, 2803, 13196, 699, 506, 2263, 68420, 3905, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 1938, 573, 822, 26100, 23538, 9735, 236787, 108, 1018, 236770, 236761, 29223, 28636, 568, 23301, 236772, 83899, 236764, 54866, 10353, 1473, 1018, 107, 236772, 5213, 818, 54866, 32805, 1018, 138, 107, 138, 236770, 236778, 236800, 6400, 842, 568, 236778, 236761, 236770, 7635, 3121, 236768, 138, 107, 138, 27144, 236787, 19657, 236762, 22292, 236764, 181235, 236764, 236743, 236812, 236761, 236810, 240281, 138, 107, 236772, 5213, 236799, 3352, 3593, 56179, 118108, 1018, 138, 107, 138, 236812, 236810, 236825, 20690, 18977, 568, 236810, 236761, 236828, 7635, 3121, 236768, 138, 107, 138, 27144, 236787, 4504, 15320, 66276, 236764, 46898, 3835, 236764, 236743, 236812, 236761, 236778, 240281, 138, 107, 236772, 5213, 71878, 184780, 1018, 138, 107, 138, 236832, 236828, 236819, 33518, 16351, 568, 236828, 236761, 236800, 7635, 3121, 236768, 138, 107, 138, 27144, 236787, 26451, 6831, 236764, 13932, 36448, 236764, 236743, 236812, 236761, 236771, 240281, 138, 108, 1018, 236778, 236761, 9593, 17263, 1700, 507, 568, 2371, 1204, 603, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 1473, 1018, 138, 107, 236772, 7303, 236787, 9593, 13060, 1229, 17263, 1700, 507, 568, 3974, 529, 236743, 236825, 236768, 138, 107, 236772, 14584, 236787, 609, 236770, 236812, 236761, 236819, 236819, 568, 38556, 236768, 138, 107, 236772, 75669, 236787, 799, 13827, 138, 107, 236772, 9533, 25772, 236787, 4819, 236772, 32463, 11167, 236764, 22937, 16721, 3225, 236764, 145921, 1702, 138, 107, 236772, 870, 7163, 10297, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 39460, 13060, 1229, 236772, 42478, 236772, 1505, 507, 236772, 3974, 236786, 19615, 236786, 236799, 236771, 236828, 236797, 236812, 236810, 236874, 236778, 236935, 236825, 236768, 108, 1018, 236800, 236761, 19882, 14669, 12209, 80837, 33197, 53121, 138, 107, 236772, 5213, 18463, 1258, 114314, 66515, 88086, 12209, 80837, 568, 78660, 2404, 99574, 236768, 900, 10624, 31698, 80837, 568, 13319, 236786, 78660, 87405, 236768, 138, 107, 236772, 5213, 110553, 31026, 66515, 609, 236770, 236792, 19096, 900, 7683, 236789, 777, 568, 11958, 236743, 236800, 236771, 2668, 4487, 236768, 138, 107, 236772, 5213, 6776, 96798, 66515, 236743, 236825, 236771, 2668, 1680, 2460, 138, 107, 236772, 5213, 6375, 130726, 66515, 2301, 4749, 2351, 236743, 236810, 236771, 236771, 6172, 529, 7958, 236786, 236754, 178020, 2180, 13196, 138, 108, 1018, 3771, 4801, 4073, 26109, 1018, 236888, 2343, 6555, 7723, 10428, 236761, 21284, 611, 1133, 531, 11327, 24277, 568, 236744, 236761, 236759, 1126, 6253, 9180, 18774, 236764, 2426, 43365, 1698, 21212, 236764, 653, 37386, 3530, 9841, 4889, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 45132, 600, 41080, 506, 1638, 177655, 9899, 529, 4135, 618, 506, 34891, 7940, 4930, 25687, 753, 1751, 9509, 21947, 236789, 236751, 20997, 39339, 607, 42988, 4820, 236761, 9187, 684, 8159, 19293, 56188, 607, 623, 111012, 236775, 653, 623, 39822, 236775, 41303, 600, 735, 657, 3198, 236743, 236810, 236771, 236771, 7704, 532, 659, 2487, 528, 5422, 236761, 9920, 611, 974, 2536, 236764, 5957, 1724, 531, 1586, 5906, 1298, 506, 20431, 3117, 563, 4970, 618, 623, 117339, 236775, 653, 623, 135615, 3056, 1701, 1546, 16590, 3822, 236764, 33205, 1061, 2587, 4889, 2440, 14314, 4083, 532, 25075, 26899, 236761, 1637, 611, 5524, 1027, 6582, 10842, 607, 7738, 2536, 236764, 2056, 64497, 623, 22037, 1929, 236775, 653, 623, 1166, 142825, 236775, 16616, 5205, 236761, 3792, 786, 1281, 1056, 611, 236789, 560, 28725, 506, 1626, 1694, 607, 20431, 3671, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236778, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 12103, 1083, 78493, 3250, 1083, 623, 211958, 10462, 529, 506, 13988, 827, 623, 6386, 1083, 623, 236776, 11469, 91599, 827, 623, 109355, 1083, 11058, 111012, 827, 623, 39822, 827, 623, 179044, 14255, 623, 119789, 236779, 4818, 1083, 623, 203760, 827, 623, 661, 236779, 3061, 1083, 623, 117339, 827, 623, 19859, 1083, 623, 27832, 827, 623, 4000, 236779, 2861, 1083, 236743, 236825, 236770, 236778, 236764, 623, 119789, 236779, 18308, 1083, 623, 146461, 528, 50292, 116738, 26194, 2338, 236743, 236778, 236771, 236778, 236778, 827, 623, 661, 3316, 236779, 111399, 2015, 1083, 11058, 174314, 40608, 171793, 827, 623, 38830, 21947, 152254, 3714, 3250, 1083, 623, 71878, 95765, 703, 827, 623, 6386, 1083, 623, 44290, 5573, 117066, 827, 623, 109355, 1083, 11058, 39822, 827, 623, 152607, 827, 623, 1166, 142825, 14255, 623, 119789, 236779, 4818, 1083, 623, 50522, 827, 623, 661, 236779, 3061, 1083, 623, 135615, 827, 623, 19859, 1083, 623, 27832, 827, 623, 4000, 236779, 2861, 1083, 236743, 236810, 236828, 236832, 236764, 623, 119789, 236779, 18308, 1083, 623, 45028, 684, 21038, 116738, 7161, 568, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236800, 22730, 623, 661, 3316, 236779, 111399, 2015, 1083, 11058, 8016, 72244, 64712, 1179, 4436, 827, 623, 93480, 105308, 38262, 152254, 3714, 3250, 1083, 623, 236774, 754, 236789, 236751, 169131, 827, 623, 6386, 1083, 623, 236794, 1630, 113614, 827, 623, 109355, 1083, 11058, 111012, 827, 623, 19461, 236779, 1340, 236779, 9524, 14255, 623, 119789, 236779, 4818, 1083, 623, 203760, 827, 623, 661, 236779, 3061, 1083, 623, 117339, 827, 623, 19859, 1083, 623, 27832, 827, 623, 4000, 236779, 2861, 1083, 236743, 236810, 236778, 236828, 236764, 623, 119789, 236779, 18308, 1083, 623, 32106, 14417, 580, 116738, 20366, 2338, 236743, 236778, 236771, 236778, 236800, 827, 623, 661, 3316, 236779, 111399, 2015, 1083, 11058, 150109, 976, 81043, 827, 6443, 236756, 236828, 236812, 236810, 236763, 236785, 236756, 236819, 236828, 1794, 236785, 236756, 236810, 236800, 236770, 236832, 236785, 236756, 236825, 236810, 236828, 236744, 99471, 1604, 623, 28881, 236779, 103411, 1083, 3714, 109355, 1083, 11058, 111012, 827, 623, 39822, 14255, 623, 10479, 236779, 2003, 1083, 623, 3250, 827, 623, 10479, 236779, 2400, 1083, 623, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 67722, 1694, 529, 45132, 16590, 34891, 7940, 4930, 236772, 52728, 57878, 236787, 108, 236770, 236761, 5213, 211958, 10462, 529, 506, 13988, 1018, 684, 562, 11469, 91599, 138, 107, 139, 236772, 5213, 9175, 21072, 66515, 124330, 236764, 607, 21947, 236772, 68396, 20997, 15408, 532, 42988, 51699, 138, 107, 139, 236772, 5213, 194450, 2015, 66515, 145971, 586, 80590, 9509, 21947, 532, 64712, 40608, 171793, 138, 107, 139, 236772, 5213, 81606, 66515, 195314, 528, 50292, 116738, 26194, 568, 236778, 236771, 236778, 236778, 236772, 13002, 236768, 138, 107, 139, 236772, 5213, 35434, 66515, 21807, 1472, 12139, 19764, 15066, 8403, 607, 10063, 21361, 1929, 528, 1061, 6426, 39339, 138, 108, 236778, 236761, 5213, 71878, 95765, 703, 1018, 684, 11259, 5573, 117066, 138, 107, 139, 236772, 5213, 9175, 21072, 66515, 48756, 156653, 24652, 62803, 529, 25694, 105308, 38262, 236789, 236751, 4159, 5559, 138, 107, 139, 236772, 5213, 194450, 2015, 66515, 64712, 1179, 4436, 236789, 236751, 623, 818, 88917, 236772, 19765, 91982, 529, 506, 558, 238803, 2339, 547, 238803, 236775, 20239, 34891, 7940, 35460, 138, 107, 139, 236772, 5213, 81606, 66515, 97888, 236743, 236812, 236772, 20845, 1076, 568, 89265, 116738, 7161, 236768, 138, 107, 139, 236772, 5213, 35434, 66515, 65284, 53091, 10565, 21280, 531, 104184, 15596, 228788, 138, 108, 236800, 236761, 5213, 236774, 754, 236789, 236751, 169131, 1018, 684, 630, 1630, 113614, 138, 107, 139, 236772, 5213, 9175, 21072, 66515, 124330, 25260, 18583, 159689, 193506, 81043, 236789, 236751, 43361, 5565, 507, 138, 107, 139, 236772, 5213, 194450, 2015, 66515, 640, 53758, 1389, 236789, 236751, 6794, 59491, 13148, 607, 78294, 236772, 1741, 15408, 138, 107, 139, 236772, 5213, 81606, 66515, 14232, 144460, 568, 236792, 17976, 20366, 236768, 138, 107, 139, 236772, 5213, 35434, 66515, 175308, 9935, 7298, 618, 143636, 573, 13690, 5022, 138, 108, 3243, 1806, 19293, 9644, 236743, 236810, 236771, 236771, 7704, 532, 5467, 27968, 25075, 28968, 44112, 528, 822, 34891, 7940, 4930, 9960, 236761, 18975, 611, 7976, 531, 11327, 42988, 59491, 3342, 236764, 564, 740, 18840, 3530, 27397, 573, 8106, 96068, 3004, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 45132, 600, 41080, 506, 1638, 177655, 9899, 529, 4135, 618, 506, 34891, 7940, 4930, 25687, 753, 1751, 9509, 21947, 236789, 236751, 20997, 39339, 607, 42988, 4820, 236761, 9187, 684, 8159, 19293, 56188, 607, 623, 111012, 236775, 653, 623, 39822, 236775, 41303, 600, 735, 657, 3198, 236743, 236810, 236771, 236771, 7704, 532, 659, 2487, 528, 5422, 236761, 9920, 611, 974, 2536, 236764, 5957, 1724, 531, 1586, 5906, 1298, 506, 20431, 3117, 563, 4970, 618, 623, 117339, 236775, 653, 623, 135615, 3056, 1701, 1546, 16590, 3822, 236764, 33205, 1061, 2587, 4889, 2440, 14314, 4083, 532, 25075, 26899, 236761, 1637, 611, 5524, 1027, 6582, 10842, 607, 7738, 2536, 236764, 2056, 64497, 623, 22037, 1929, 236775, 653, 623, 1166, 142825, 236775, 16616, 5205, 236761, 3792, 786, 1281, 1056, 611, 236789, 560, 28725, 506, 1626, 1694, 607, 20431, 3671, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236778, 236771, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 12103, 1083, 78493, 3250, 1083, 623, 211958, 10462, 529, 506, 13988, 827, 623, 6386, 1083, 623, 236776, 11469, 91599, 827, 623, 109355, 1083, 11058, 111012, 827, 623, 39822, 827, 623, 179044, 14255, 623, 119789, 236779, 4818, 1083, 623, 203760, 827, 623, 661, 236779, 3061, 1083, 623, 117339, 827, 623, 19859, 1083, 623, 27832, 827, 623, 4000, 236779, 2861, 1083, 236743, 236825, 236770, 236778, 236764, 623, 119789, 236779, 18308, 1083, 623, 146461, 528, 50292, 116738, 26194, 2338, 236743, 236778, 236771, 236778, 236778, 827, 623, 661, 3316, 236779, 111399, 2015, 1083, 11058, 174314, 40608, 171793, 827, 623, 38830, 21947, 152254, 3714, 3250, 1083, 623, 71878, 95765, 703, 827, 623, 6386, 1083, 623, 44290, 5573, 117066, 827, 623, 109355, 1083, 11058, 39822, 827, 623, 152607, 827, 623, 1166, 142825, 14255, 623, 119789, 236779, 4818, 1083, 623, 50522, 827, 623, 661, 236779, 3061, 1083, 623, 135615, 827, 623, 19859, 1083, 623, 27832, 827, 623, 4000, 236779, 2861, 1083, 236743, 236810, 236828, 236832, 236764, 623, 119789, 236779, 18308, 1083, 623, 45028, 684, 21038, 116738, 7161, 568, 236778, 236771, 236770, 236819, 236772, 236778, 236771, 236778, 236800, 22730, 623, 661, 3316, 236779, 111399, 2015, 1083, 11058, 8016, 72244, 64712, 1179, 4436, 827, 623, 93480, 105308, 38262, 152254, 3714, 3250, 1083, 623, 236774, 754, 236789, 236751, 169131, 827, 623, 6386, 1083, 623, 236794, 1630, 113614, 827, 623, 109355, 1083, 11058, 111012, 827, 623, 19461, 236779, 1340, 236779, 9524, 14255, 623, 119789, 236779, 4818, 1083, 623, 203760, 827, 623, 661, 236779, 3061, 1083, 623, 117339, 827, 623, 19859, 1083, 623, 27832, 827, 623, 4000, 236779, 2861, 1083, 236743, 236810, 236778, 236828, 236764, 623, 119789, 236779, 18308, 1083, 623, 32106, 14417, 580, 116738, 20366, 2338, 236743, 236778, 236771, 236778, 236800, 827, 623, 661, 3316, 236779, 111399, 2015, 1083, 11058, 150109, 976, 81043, 827, 6443, 236756, 236828, 236812, 236810, 236763, 236785, 236756, 236819, 236828, 1794, 236785, 236756, 236810, 236800, 236770, 236832, 236785, 236756, 236825, 236810, 236828, 236744, 99471, 1604, 623, 28881, 236779, 103411, 1083, 3714, 109355, 1083, 11058, 111012, 827, 623, 39822, 14255, 623, 10479, 236779, 2003, 1083, 623, 3250, 827, 623, 10479, 236779, 2400, 1083, 623, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 67722, 1694, 529, 45132, 16590, 34891, 7940, 4930, 236772, 52728, 57878, 236787, 108, 236770, 236761, 5213, 211958, 10462, 529, 506, 13988, 1018, 684, 562, 11469, 91599, 138, 107, 139, 236772, 5213, 9175, 21072, 66515, 124330, 236764, 607, 21947, 236772, 68396, 20997, 15408, 532, 42988, 51699, 138, 107, 139, 236772, 5213, 194450, 2015, 66515, 145971, 586, 80590, 9509, 21947, 532, 64712, 40608, 171793, 138, 107, 139, 236772, 5213, 81606, 66515, 195314, 528, 50292, 116738, 26194, 568, 236778, 236771, 236778, 236778, 236772, 13002, 236768, 138, 107, 139, 236772, 5213, 35434, 66515, 21807, 1472, 12139, 19764, 15066, 8403, 607, 10063, 21361, 1929, 528, 1061, 6426, 39339, 138, 108, 236778, 236761, 5213, 71878, 95765, 703, 1018, 684, 11259, 5573, 117066, 138, 107, 139, 236772, 5213, 9175, 21072, 66515, 48756, 156653, 24652, 62803, 529, 25694, 105308, 38262, 236789, 236751, 4159, 5559, 138, 107, 139, 236772, 5213, 194450, 2015, 66515, 64712, 1179, 4436, 236789, 236751, 623, 818, 88917, 236772, 19765, 91982, 529, 506, 558, 238803, 2339, 547, 238803, 236775, 20239, 34891, 7940, 35460, 138, 107, 139, 236772, 5213, 81606, 66515, 97888, 236743, 236812, 236772, 20845, 1076, 568, 89265, 116738, 7161, 236768, 138, 107, 139, 236772, 5213, 35434, 66515, 65284, 53091, 10565, 21280, 531, 104184, 15596, 228788, 138, 108, 236800, 236761, 5213, 236774, 754, 236789, 236751, 169131, 1018, 684, 630, 1630, 113614, 138, 107, 139, 236772, 5213, 9175, 21072, 66515, 124330, 25260, 18583, 159689, 193506, 81043, 236789, 236751, 43361, 5565, 507, 138, 107, 139, 236772, 5213, 194450, 2015, 66515, 640, 53758, 1389, 236789, 236751, 6794, 59491, 13148, 607, 78294, 236772, 1741, 15408, 138, 107, 139, 236772, 5213, 81606, 66515, 14232, 144460, 568, 236792, 17976, 20366, 236768, 138, 107, 139, 236772, 5213, 35434, 66515, 175308, 9935, 7298, 618, 143636, 573, 13690, 5022, 138, 108, 3243, 1806, 19293, 9644, 236743, 236810, 236771, 236771, 7704, 532, 5467, 27968, 25075, 28968, 44112, 528, 822, 34891, 7940, 4930, 9960, 236761, 18975, 611, 7976, 531, 11327, 42988, 59491, 3342, 236764, 564, 740, 18840, 3530, 27397, 573, 8106, 96068, 3004, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 7606, 14415, 573, 49398, 1072, 236764, 9206, 236764, 840, 564, 236789, 236757, 6412, 10099, 1003, 506, 2148, 1806, 2668, 236761, 3153, 236764, 564, 236789, 236757, 992, 6995, 531, 3517, 5054, 22424, 2148, 2069, 573, 496, 9226, 14680, 532, 1202, 531, 1281, 768, 564, 1374, 3294, 614, 36187, 236761, 3199, 611, 2426, 1800, 11024, 532, 990, 32151, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 156830, 1072, 236764, 9206, 827, 623, 4002, 236779, 41907, 1083, 3714, 7617, 1083, 236743, 236828, 236778, 236761, 236812, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236828, 236810, 236761, 236770, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236761, 236770, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236778, 236764, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 23179, 623, 19323, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236825, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236800, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 1083, 236743, 236832, 236810, 236764, 623, 19323, 1083, 623, 22631, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236800, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236828, 236764, 623, 19323, 1083, 623, 96123, 14958, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236770, 236771, 104960, 623, 752, 1863, 10292, 1083, 3714, 152827, 1083, 623, 236771, 236825, 236787, 236770, 236778, 8151, 827, 623, 98729, 1083, 623, 236771, 236825, 236787, 236812, 236810, 8711, 236775, 5237, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236825, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236828, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236812, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 1083, 236743, 236832, 236825, 236764, 623, 19323, 1083, 623, 112920, 14958, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236778, 236771, 1263, 3714, 2289, 1083, 623, 236800, 236771, 236771, 827, 623, 7617, 1083, 236743, 236828, 236770, 236764, 623, 19323, 1083, 623, 12098, 6927, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236812, 236810, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236832, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236819, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236810, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 1083, 236743, 236832, 236832, 236764, 623, 19323, 1083, 623, 4330, 3973, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236825, 236771, 1263, 3714, 2289, 1083, 623, 236800, 236771, 236771, 827, 623, 7617, 1083, 236743, 236828, 236800, 236764, 623, 19323, 1083, 623, 71476, 6927, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236828, 236810, 15947, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 23243, 22424, 236764, 34499, 43008, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236828, 236778, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236771, 528, 827, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 23179, 623, 19323, 236779, 52511, 1083, 3714, 14356, 1083, 236743, 236832, 236764, 623, 32320, 236779, 114687, 695, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236825, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236819, 236764, 623, 44340, 236779, 16255, 1083, 623, 236770, 236771, 70887, 623, 19323, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236828, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236828, 236771, 236764, 623, 44340, 236779, 16255, 1083, 623, 236778, 236771, 70887, 623, 19323, 1083, 623, 196224, 17635, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236810, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236828, 236764, 623, 44340, 236779, 16255, 1083, 623, 236825, 236810, 70887, 623, 19323, 1083, 623, 3900, 42790, 139938, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236812, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236832, 236764, 623, 44340, 236779, 16255, 1083, 623, 236828, 236810, 70887, 623, 19323, 1083, 623, 45060, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236800, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 16255, 1083, 623, 236812, 236771, 70887, 623, 19323, 1083, 623, 7783, 586, 35898, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236832, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236819, 236764, 623, 44340, 236779, 16255, 1083, 623, 236770, 236810, 70887, 623, 19323, 1083, 623, 22631, 55748, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236819, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236828, 236770, 236764, 623, 44340, 236779, 16255, 1083, 623, 236810, 70887, 623, 19323, 1083, 623, 118538, 25938, 1604, 623, 25441, 1083, 623, 146530, 23179, 623, 85038, 567, 1083, 623, 12415, 614, 36187, 573, 5054, 22424, 236761, 21481, 52098, 659, 4547, 580, 5142, 236743, 236770, 236832, 236772, 236770, 236828, 1913, 822, 14680, 14069, 236764, 607, 236743, 236828, 236810, 236908, 31632, 9948, 580, 5142, 236743, 236770, 236828, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14415, 573, 1800, 11024, 236787, 108, 1018, 156830, 1072, 236764, 9206, 568, 9272, 236743, 236800, 27613, 1473, 1018, 107, 236772, 5213, 17076, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 1473, 1018, 216726, 35898, 236764, 236743, 236832, 236800, 236772, 236828, 236825, 237366, 236811, 236764, 236743, 236810, 236772, 236770, 236771, 236908, 6927, 6584, 236761, 107, 236772, 5213, 125133, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236825, 1473, 1018, 10847, 6927, 2653, 236764, 236743, 236832, 236812, 236772, 236828, 236828, 237366, 236811, 236764, 236743, 236812, 236810, 236908, 6927, 6584, 528, 506, 12399, 236761, 107, 236772, 5213, 13265, 236743, 236800, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236832, 1473, 1018, 39591, 6927, 4547, 236764, 236743, 236832, 236810, 236772, 236828, 236819, 237366, 236811, 236764, 236743, 236828, 236810, 236908, 6927, 6584, 528, 506, 12399, 236761, 138, 107, 138, 1018, 211199, 53121, 90917, 614, 36187, 573, 11690, 6614, 580, 6156, 236743, 236800, 236761, 108, 1018, 23243, 22424, 236764, 9206, 568, 135673, 13444, 1473, 1018, 107, 236772, 5213, 27403, 236743, 236770, 236810, 236772, 236770, 236825, 53121, 52489, 531, 10723, 17635, 236764, 2708, 6927, 4652, 568, 236770, 236771, 236772, 236778, 236771, 37507, 107, 236772, 5213, 27403, 236743, 236770, 236832, 53121, 219632, 139938, 236764, 236743, 236825, 236810, 236908, 6927, 6584, 236761, 107, 236772, 5213, 27403, 236743, 236770, 236828, 53121, 21481, 52098, 4547, 236764, 5213, 236828, 236810, 236908, 31632, 9948, 1018, 568, 46858, 4652, 769, 107, 236772, 5213, 27403, 236743, 236770, 236819, 236772, 236778, 236770, 53121, 61076, 3444, 6927, 4652, 568, 236812, 236771, 236908, 531, 236743, 236810, 37507, 138, 107, 138, 1018, 211199, 53121, 5213, 12415, 614, 36187, 1018, 573, 506, 14680, 236764, 4285, 573, 5142, 236743, 236770, 236832, 236772, 236770, 236828, 1056, 6927, 563, 6112, 4547, 236761, 106, 107, 105, 2364, 107, 30092, 611, 2847, 506, 51599, 7606, 25890, 573, 5054, 22424, 580, 5142, 236743, 236770, 236832, 594, 532, 236743, 236770, 236828, 594, 236881, 564, 1461, 531, 8701, 506, 1791, 11665, 573, 22260, 11690, 1610, 35490, 2180, 3978, 12956, 528, 139938, 653, 7274, 52098, 236761, 1174, 1093, 1601, 786, 2731, 1041, 14680, 76717, 919, 19753, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 1083, 3714, 27495, 1083, 236743, 236778, 236828, 236764, 623, 77269, 1083, 236743, 236832, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 236761, 236810, 236764, 623, 44340, 1083, 236743, 236778, 236761, 236812, 236764, 623, 19323, 236779, 7777, 1083, 623, 112920, 14958, 607, 2214, 52098, 23179, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236832, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236778, 236764, 623, 19323, 1083, 623, 96123, 14958, 23179, 3714, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236770, 236764, 623, 44340, 1083, 236743, 236770, 236761, 236828, 236764, 623, 19323, 1083, 623, 125055, 204409, 23179, 3714, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236778, 236764, 623, 44340, 1083, 236743, 236812, 236761, 236832, 236764, 623, 19323, 1083, 623, 71476, 6927, 23179, 3714, 2289, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236771, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236810, 236764, 623, 19323, 1083, 623, 3900, 42790, 52098, 23179, 3714, 2289, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236819, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 22631, 7217, 236775, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236819, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236828, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236770, 236770, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236800, 236764, 623, 44340, 1083, 236743, 236778, 236761, 236770, 236764, 623, 19323, 1083, 623, 90264, 139938, 23179, 3714, 2289, 1083, 623, 236770, 236800, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236778, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 7783, 586, 35898, 23179, 3714, 2289, 1083, 623, 236770, 236810, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236771, 236764, 623, 44340, 1083, 236743, 236770, 236761, 236778, 236764, 623, 19323, 1083, 623, 12098, 6927, 23179, 3714, 2289, 1083, 623, 236770, 236832, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236819, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 22631, 7217, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9813, 51599, 25890, 573, 5054, 22424, 1913, 822, 14680, 14069, 236787, 108, 1018, 27403, 236743, 236770, 236832, 594, 568, 125055, 204409, 169931, 1473, 1018, 138, 107, 236772, 5213, 236771, 236828, 236787, 236771, 236771, 8151, 53121, 236743, 236778, 236832, 237366, 236780, 236764, 2214, 14958, 568, 69731, 6927, 4652, 236768, 1271, 5213, 116153, 573, 11690, 6614, 99382, 138, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 53121, 236743, 236800, 236770, 237366, 236780, 236764, 139938, 568, 236770, 236761, 236828, 3951, 6927, 236768, 1271, 5213, 40574, 23803, 99382, 138, 107, 236772, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236778, 237366, 236780, 236764, 7274, 6927, 568, 236812, 236761, 236832, 3951, 236768, 1271, 5213, 174652, 5085, 10325, 99382, 138, 107, 236772, 5213, 236770, 236812, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236771, 237366, 236780, 236764, 29892, 52098, 568, 236771, 236761, 236810, 3951, 236768, 1271, 5213, 69626, 8652, 4771, 607, 2214, 6927, 99382, 138, 107, 236772, 5213, 236770, 236825, 236787, 236771, 236771, 8711, 53121, 236743, 236778, 236819, 237366, 236780, 236764, 3582, 55748, 1271, 5213, 112543, 5085, 6338, 1570, 99382, 138, 108, 1018, 27403, 236743, 236770, 236828, 594, 568, 45060, 8754, 616, 1473, 1018, 138, 107, 236772, 5213, 236771, 236819, 236787, 236771, 236771, 8151, 53121, 236743, 236778, 236828, 237366, 236780, 236764, 17635, 1271, 5213, 54133, 573, 5597, 22824, 99382, 138, 107, 236772, 5213, 236770, 236770, 236787, 236771, 236771, 8151, 53121, 236743, 236800, 236800, 237366, 236780, 236764, 4813, 139938, 568, 236778, 236761, 236770, 3951, 236768, 1271, 5213, 71398, 529, 6927, 236793, 6081, 614, 36187, 99382, 138, 107, 236772, 5213, 236770, 236800, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236778, 237366, 236780, 236764, 22043, 35898, 1271, 5213, 105367, 3439, 236793, 7020, 7217, 99382, 138, 107, 236772, 5213, 236770, 236810, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236771, 237366, 236780, 236764, 2214, 6927, 568, 236770, 236761, 236778, 3951, 236768, 1271, 5213, 174652, 21609, 6614, 23034, 99382, 138, 107, 236772, 5213, 236770, 236832, 236787, 236771, 236771, 8711, 53121, 236743, 236778, 236819, 237366, 236780, 236764, 3582, 55748, 1271, 5213, 17667, 4771, 573, 11690, 6614, 99382, 138, 108, 1018, 201430, 53121, 138, 107, 236772, 22282, 77372, 11690, 1610, 35490, 5213, 15849, 236743, 236770, 236771, 8151, 580, 5142, 236743, 236770, 236832, 594, 1018, 532, 5213, 9900, 236743, 236778, 8711, 580, 5142, 236743, 236770, 236828, 594, 84750, 138, 107, 236772, 90917, 496, 11236, 36187, 573, 11059, 52098, 236764, 4285, 1534, 5213, 236770, 236770, 8151, 236964, 236800, 8711, 580, 5142, 236743, 236770, 236832, 594, 236964, 236770, 236828, 594, 84750, 138, 107, 236772, 145558, 795, 577, 6962, 568, 236778, 236832, 236964, 236800, 236800, 237366, 236780, 779, 834, 27472, 15337, 607, 6927, 6733, 563, 7436, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 250759, 238178, 245838, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 25890, 236761, 3227, 672, 1938, 236764, 564, 740, 1492, 2731, 1041, 14680, 76717, 531, 56856, 11690, 1610, 22824, 1913, 506, 34303, 11665, 236761, 564, 236858, 859, 3213, 580, 5597, 20503, 531, 1932, 236772, 1404, 54828, 580, 5142, 236743, 236770, 236832, 594, 532, 18151, 5142, 236743, 236770, 236828, 594, 236858, 236751, 5226, 12399, 573, 24226, 33466, 580, 1041, 26448, 2203, 13696, 684, 506, 14680, 236858, 236751, 7363, 1610, 236761, 2301, 3342, 5904, 9139, 659, 4354, 573, 672, 2864, 236761, 236743, 247898, 238178, 245838, 106, 107, 105, 4368, 107, 3048, 236789, 500, 1401, 8349, 236888, 564, 236789, 236757, 37732, 506, 14415, 4889, 8907, 611, 10946, 496, 2731, 600, 100146, 607, 1800, 506, 7606, 532, 822, 9578, 7675, 236761, 5180, 10368, 30981, 5057, 6538, 237028, 57587, 5597, 3885, 580, 506, 236743, 236770, 236832, 594, 532, 5226, 12399, 580, 506, 236743, 236770, 236828, 594, 1374, 2583, 611, 1822, 19142, 236761, 138, 108, 53132, 506, 14680, 236764, 506, 1610, 236764, 532, 506, 73887, 18014, 236888, 1637, 611, 1202, 4658, 1663, 236764, 1164, 1879, 506, 3658, 236761, 236743, 251074, 238178, 248315, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 506, 7606, 14415, 573, 49398, 1072, 236764, 9206, 236764, 840, 564, 236789, 236757, 6412, 10099, 1003, 506, 2148, 1806, 2668, 236761, 3153, 236764, 564, 236789, 236757, 992, 6995, 531, 3517, 5054, 22424, 2148, 2069, 573, 496, 9226, 14680, 532, 1202, 531, 1281, 768, 564, 1374, 3294, 614, 36187, 236761, 3199, 611, 2426, 1800, 11024, 532, 990, 32151, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 156830, 1072, 236764, 9206, 827, 623, 4002, 236779, 41907, 1083, 3714, 7617, 1083, 236743, 236828, 236778, 236761, 236812, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236828, 236810, 236761, 236770, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236761, 236770, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236778, 236764, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 23179, 623, 19323, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236825, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236800, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 1083, 236743, 236832, 236810, 236764, 623, 19323, 1083, 623, 22631, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236800, 236771, 236771, 827, 623, 7617, 1083, 236743, 236832, 236828, 236764, 623, 19323, 1083, 623, 96123, 14958, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236770, 236771, 104960, 623, 752, 1863, 10292, 1083, 3714, 152827, 1083, 623, 236771, 236825, 236787, 236770, 236778, 8151, 827, 623, 98729, 1083, 623, 236771, 236825, 236787, 236812, 236810, 8711, 236775, 5237, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236825, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236828, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236812, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 1083, 236743, 236832, 236825, 236764, 623, 19323, 1083, 623, 112920, 14958, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236778, 236771, 1263, 3714, 2289, 1083, 623, 236800, 236771, 236771, 827, 623, 7617, 1083, 236743, 236828, 236770, 236764, 623, 19323, 1083, 623, 12098, 6927, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236812, 236810, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236832, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236819, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236810, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 1083, 236743, 236832, 236832, 236764, 623, 19323, 1083, 623, 4330, 3973, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236825, 236771, 1263, 3714, 2289, 1083, 623, 236800, 236771, 236771, 827, 623, 7617, 1083, 236743, 236828, 236800, 236764, 623, 19323, 1083, 623, 71476, 6927, 827, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236828, 236810, 15947, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 23243, 22424, 236764, 34499, 43008, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236828, 236778, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236771, 528, 827, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 23179, 623, 19323, 236779, 52511, 1083, 3714, 14356, 1083, 236743, 236832, 236764, 623, 32320, 236779, 114687, 695, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236825, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236819, 236764, 623, 44340, 236779, 16255, 1083, 623, 236770, 236771, 70887, 623, 19323, 1083, 623, 118538, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236828, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236828, 236771, 236764, 623, 44340, 236779, 16255, 1083, 623, 236778, 236771, 70887, 623, 19323, 1083, 623, 196224, 17635, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236810, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236828, 236764, 623, 44340, 236779, 16255, 1083, 623, 236825, 236810, 70887, 623, 19323, 1083, 623, 3900, 42790, 139938, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236812, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236832, 236764, 623, 44340, 236779, 16255, 1083, 623, 236828, 236810, 70887, 623, 19323, 1083, 623, 45060, 52098, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236800, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 16255, 1083, 623, 236812, 236771, 70887, 623, 19323, 1083, 623, 7783, 586, 35898, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236832, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236832, 236819, 236764, 623, 44340, 236779, 16255, 1083, 623, 236770, 236810, 70887, 623, 19323, 1083, 623, 22631, 55748, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 2074, 236779, 7617, 1083, 236743, 236828, 236819, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236828, 236770, 236764, 623, 44340, 236779, 16255, 1083, 623, 236810, 70887, 623, 19323, 1083, 623, 118538, 25938, 1604, 623, 25441, 1083, 623, 146530, 23179, 623, 85038, 567, 1083, 623, 12415, 614, 36187, 573, 5054, 22424, 236761, 21481, 52098, 659, 4547, 580, 5142, 236743, 236770, 236832, 236772, 236770, 236828, 1913, 822, 14680, 14069, 236764, 607, 236743, 236828, 236810, 236908, 31632, 9948, 580, 5142, 236743, 236770, 236828, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14415, 573, 1800, 11024, 236787, 108, 1018, 156830, 1072, 236764, 9206, 568, 9272, 236743, 236800, 27613, 1473, 1018, 107, 236772, 5213, 17076, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 1473, 1018, 216726, 35898, 236764, 236743, 236832, 236800, 236772, 236828, 236825, 237366, 236811, 236764, 236743, 236810, 236772, 236770, 236771, 236908, 6927, 6584, 236761, 107, 236772, 5213, 125133, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236825, 1473, 1018, 10847, 6927, 2653, 236764, 236743, 236832, 236812, 236772, 236828, 236828, 237366, 236811, 236764, 236743, 236812, 236810, 236908, 6927, 6584, 528, 506, 12399, 236761, 107, 236772, 5213, 13265, 236743, 236800, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236832, 1473, 1018, 39591, 6927, 4547, 236764, 236743, 236832, 236810, 236772, 236828, 236819, 237366, 236811, 236764, 236743, 236828, 236810, 236908, 6927, 6584, 528, 506, 12399, 236761, 138, 107, 138, 1018, 211199, 53121, 90917, 614, 36187, 573, 11690, 6614, 580, 6156, 236743, 236800, 236761, 108, 1018, 23243, 22424, 236764, 9206, 568, 135673, 13444, 1473, 1018, 107, 236772, 5213, 27403, 236743, 236770, 236810, 236772, 236770, 236825, 53121, 52489, 531, 10723, 17635, 236764, 2708, 6927, 4652, 568, 236770, 236771, 236772, 236778, 236771, 37507, 107, 236772, 5213, 27403, 236743, 236770, 236832, 53121, 219632, 139938, 236764, 236743, 236825, 236810, 236908, 6927, 6584, 236761, 107, 236772, 5213, 27403, 236743, 236770, 236828, 53121, 21481, 52098, 4547, 236764, 5213, 236828, 236810, 236908, 31632, 9948, 1018, 568, 46858, 4652, 769, 107, 236772, 5213, 27403, 236743, 236770, 236819, 236772, 236778, 236770, 53121, 61076, 3444, 6927, 4652, 568, 236812, 236771, 236908, 531, 236743, 236810, 37507, 138, 107, 138, 1018, 211199, 53121, 5213, 12415, 614, 36187, 1018, 573, 506, 14680, 236764, 4285, 573, 5142, 236743, 236770, 236832, 236772, 236770, 236828, 1056, 6927, 563, 6112, 4547, 236761, 106, 107, 105, 2364, 107, 30092, 611, 2847, 506, 51599, 7606, 25890, 573, 5054, 22424, 580, 5142, 236743, 236770, 236832, 594, 532, 236743, 236770, 236828, 594, 236881, 564, 1461, 531, 8701, 506, 1791, 11665, 573, 22260, 11690, 1610, 35490, 2180, 3978, 12956, 528, 139938, 653, 7274, 52098, 236761, 1174, 1093, 1601, 786, 2731, 1041, 14680, 76717, 919, 19753, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 1083, 3714, 27495, 1083, 236743, 236778, 236828, 236764, 623, 77269, 1083, 236743, 236832, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 236761, 236810, 236764, 623, 44340, 1083, 236743, 236778, 236761, 236812, 236764, 623, 19323, 236779, 7777, 1083, 623, 112920, 14958, 607, 2214, 52098, 23179, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236832, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236778, 236764, 623, 19323, 1083, 623, 96123, 14958, 23179, 3714, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236770, 236764, 623, 44340, 1083, 236743, 236770, 236761, 236828, 236764, 623, 19323, 1083, 623, 125055, 204409, 23179, 3714, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236778, 236764, 623, 44340, 1083, 236743, 236812, 236761, 236832, 236764, 623, 19323, 1083, 623, 71476, 6927, 23179, 3714, 2289, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236771, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236810, 236764, 623, 19323, 1083, 623, 3900, 42790, 52098, 23179, 3714, 2289, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236819, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 22631, 7217, 236775, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 236819, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236828, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 118538, 23179, 3714, 2289, 1083, 623, 236770, 236770, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236800, 236764, 623, 44340, 1083, 236743, 236778, 236761, 236770, 236764, 623, 19323, 1083, 623, 90264, 139938, 23179, 3714, 2289, 1083, 623, 236770, 236800, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236778, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 7783, 586, 35898, 23179, 3714, 2289, 1083, 623, 236770, 236810, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236800, 236771, 236764, 623, 44340, 1083, 236743, 236770, 236761, 236778, 236764, 623, 19323, 1083, 623, 12098, 6927, 23179, 3714, 2289, 1083, 623, 236770, 236832, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236778, 236819, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 22631, 7217, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 9813, 51599, 25890, 573, 5054, 22424, 1913, 822, 14680, 14069, 236787, 108, 1018, 27403, 236743, 236770, 236832, 594, 568, 125055, 204409, 169931, 1473, 1018, 138, 107, 236772, 5213, 236771, 236828, 236787, 236771, 236771, 8151, 53121, 236743, 236778, 236832, 237366, 236780, 236764, 2214, 14958, 568, 69731, 6927, 4652, 236768, 1271, 5213, 116153, 573, 11690, 6614, 99382, 138, 107, 236772, 5213, 236770, 236771, 236787, 236771, 236771, 8151, 53121, 236743, 236800, 236770, 237366, 236780, 236764, 139938, 568, 236770, 236761, 236828, 3951, 6927, 236768, 1271, 5213, 40574, 23803, 99382, 138, 107, 236772, 5213, 236770, 236778, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236778, 237366, 236780, 236764, 7274, 6927, 568, 236812, 236761, 236832, 3951, 236768, 1271, 5213, 174652, 5085, 10325, 99382, 138, 107, 236772, 5213, 236770, 236812, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236771, 237366, 236780, 236764, 29892, 52098, 568, 236771, 236761, 236810, 3951, 236768, 1271, 5213, 69626, 8652, 4771, 607, 2214, 6927, 99382, 138, 107, 236772, 5213, 236770, 236825, 236787, 236771, 236771, 8711, 53121, 236743, 236778, 236819, 237366, 236780, 236764, 3582, 55748, 1271, 5213, 112543, 5085, 6338, 1570, 99382, 138, 108, 1018, 27403, 236743, 236770, 236828, 594, 568, 45060, 8754, 616, 1473, 1018, 138, 107, 236772, 5213, 236771, 236819, 236787, 236771, 236771, 8151, 53121, 236743, 236778, 236828, 237366, 236780, 236764, 17635, 1271, 5213, 54133, 573, 5597, 22824, 99382, 138, 107, 236772, 5213, 236770, 236770, 236787, 236771, 236771, 8151, 53121, 236743, 236800, 236800, 237366, 236780, 236764, 4813, 139938, 568, 236778, 236761, 236770, 3951, 236768, 1271, 5213, 71398, 529, 6927, 236793, 6081, 614, 36187, 99382, 138, 107, 236772, 5213, 236770, 236800, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236778, 237366, 236780, 236764, 22043, 35898, 1271, 5213, 105367, 3439, 236793, 7020, 7217, 99382, 138, 107, 236772, 5213, 236770, 236810, 236787, 236771, 236771, 8711, 53121, 236743, 236800, 236771, 237366, 236780, 236764, 2214, 6927, 568, 236770, 236761, 236778, 3951, 236768, 1271, 5213, 174652, 21609, 6614, 23034, 99382, 138, 107, 236772, 5213, 236770, 236832, 236787, 236771, 236771, 8711, 53121, 236743, 236778, 236819, 237366, 236780, 236764, 3582, 55748, 1271, 5213, 17667, 4771, 573, 11690, 6614, 99382, 138, 108, 1018, 201430, 53121, 138, 107, 236772, 22282, 77372, 11690, 1610, 35490, 5213, 15849, 236743, 236770, 236771, 8151, 580, 5142, 236743, 236770, 236832, 594, 1018, 532, 5213, 9900, 236743, 236778, 8711, 580, 5142, 236743, 236770, 236828, 594, 84750, 138, 107, 236772, 90917, 496, 11236, 36187, 573, 11059, 52098, 236764, 4285, 1534, 5213, 236770, 236770, 8151, 236964, 236800, 8711, 580, 5142, 236743, 236770, 236832, 594, 236964, 236770, 236828, 594, 84750, 138, 107, 236772, 145558, 795, 577, 6962, 568, 236778, 236832, 236964, 236800, 236800, 237366, 236780, 779, 834, 27472, 15337, 607, 6927, 6733, 563, 7436, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 250759, 238178, 245838, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 25890, 236761, 3227, 672, 1938, 236764, 564, 740, 1492, 2731, 1041, 14680, 76717, 531, 56856, 11690, 1610, 22824, 1913, 506, 34303, 11665, 236761, 564, 236858, 859, 3213, 580, 5597, 20503, 531, 1932, 236772, 1404, 54828, 580, 5142, 236743, 236770, 236832, 594, 532, 18151, 5142, 236743, 236770, 236828, 594, 236858, 236751, 5226, 12399, 573, 24226, 33466, 580, 1041, 26448, 2203, 13696, 684, 506, 14680, 236858, 236751, 7363, 1610, 236761, 2301, 3342, 5904, 9139, 659, 4354, 573, 672, 2864, 236761, 236743, 247898, 238178, 245838, 106, 107, 105, 4368, 107, 3048, 236789, 500, 1401, 8349, 236888, 564, 236789, 236757, 37732, 506, 14415, 4889, 8907, 611, 10946, 496, 2731, 600, 100146, 607, 1800, 506, 7606, 532, 822, 9578, 7675, 236761, 5180, 10368, 30981, 5057, 6538, 237028, 57587, 5597, 3885, 580, 506, 236743, 236770, 236832, 594, 532, 5226, 12399, 580, 506, 236743, 236770, 236828, 594, 1374, 2583, 611, 1822, 19142, 236761, 138, 108, 53132, 506, 14680, 236764, 506, 1610, 236764, 532, 506, 73887, 18014, 236888, 1637, 611, 1202, 4658, 1663, 236764, 1164, 1879, 506, 3658, 236761, 236743, 251074, 238178, 248315, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 855, 672, 40718, 2881, 2760, 756, 60891, 236799, 1950, 10032, 236789, 600, 1041, 40135, 6950, 236761, 2625, 3189, 901, 1868, 496, 2606, 529, 14049, 10103, 532, 974, 1535, 15154, 236761, 5315, 236764, 740, 611, 5811, 855, 1217, 14076, 910, 23073, 2126, 659, 236881, 9929, 236764, 776, 1331, 3643, 1133, 532, 5739, 580, 910, 12714, 236881, 4298, 236764, 564, 236858, 236753, 2765, 531, 1281, 919, 1003, 506, 2881, 4850, 237028, 7843, 1551, 23073, 901, 735, 236764, 1144, 2712, 529, 3004, 901, 1868, 236764, 532, 1015, 910, 9998, 563, 236761, 9920, 692, 735, 600, 8283, 236764, 7463, 692, 740, 10967, 1217, 1623, 3273, 901, 1386, 699, 910, 10103, 236761, 564, 236858, 236757, 6972, 1003, 6250, 2613, 3361, 573, 1041, 3399, 14049, 7694, 236764, 834, 564, 44534, 1460, 768, 625, 236858, 236751, 5367, 506, 4514, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 92506, 236779, 4720, 1083, 623, 236828, 236761, 236810, 70887, 623, 28128, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236764, 623, 28128, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 28128, 236779, 158076, 236779, 721, 236779, 3274, 1083, 236743, 236800, 236771, 236771, 236771, 236764, 623, 6725, 236779, 76647, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236764, 623, 3955, 236779, 2084, 1083, 623, 117635, 52379, 532, 15028, 54233, 827, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236770, 236828, 236772, 236800, 236812, 827, 623, 24385, 236779, 52447, 1083, 623, 236832, 236778, 236908, 8256, 236764, 236743, 236778, 236828, 236908, 8937, 827, 623, 234863, 236779, 7125, 1083, 623, 43370, 5648, 3640, 4184, 236764, 607, 236743, 236812, 236810, 236908, 528, 14105, 5022, 23179, 623, 51183, 236779, 220929, 236779, 721, 236779, 3274, 1083, 6610, 236812, 236764, 236810, 236771, 236771, 753, 609, 236825, 236764, 236771, 236771, 236771, 568, 5140, 580, 15154, 532, 54257, 6224, 16291, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 25890, 529, 506, 40718, 2881, 808, 60891, 236799, 1950, 10032, 63508, 108, 7243, 108, 10354, 5213, 227187, 116589, 1018, 138, 107, 236772, 5213, 227187, 25870, 66515, 236743, 236828, 236761, 236810, 236908, 568, 1158, 3188, 573, 236743, 236778, 236810, 236771, 236855, 23073, 236768, 138, 107, 236772, 5213, 35089, 153883, 810, 6531, 66515, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 35089, 32213, 810, 6531, 66515, 236743, 236770, 236764, 236810, 236771, 236771, 138, 107, 236772, 5213, 35089, 85214, 810, 6531, 66515, 236743, 236800, 236764, 236771, 236771, 236771, 138, 108, 1018, 35434, 66515, 669, 9998, 563, 6112, 5158, 236764, 607, 9958, 9553, 3418, 12714, 236761, 85214, 3600, 3004, 563, 14271, 1194, 6998, 506, 7157, 84014, 3225, 236761, 108, 7243, 108, 10354, 5213, 13169, 29520, 1018, 138, 107, 236772, 5213, 9640, 208062, 66515, 236743, 236778, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 4795, 30235, 66515, 63907, 52379, 532, 15028, 54233, 138, 107, 236772, 5213, 40282, 1812, 6642, 50376, 66515, 138, 107, 138, 236772, 5213, 21035, 66515, 236743, 236770, 236828, 236772, 236800, 236812, 568, 201535, 3184, 12795, 236768, 138, 107, 138, 236772, 5213, 41022, 66515, 236743, 236832, 236778, 236908, 8256, 236764, 236743, 236778, 236828, 236908, 8937, 138, 107, 138, 236772, 5213, 6375, 66515, 236743, 236812, 236810, 236908, 699, 14105, 749, 236761, 236773, 236761, 5022, 138, 108, 1018, 176517, 66515, 669, 2881, 815, 496, 31253, 236764, 14076, 9998, 528, 506, 749, 236761, 236773, 1126, 6412, 3571, 3607, 7467, 528, 14049, 236761, 108, 7243, 108, 10354, 5213, 234755, 79645, 1018, 138, 107, 236772, 5213, 122598, 90137, 810, 6531, 66515, 609, 236812, 236764, 236810, 236771, 236771, 753, 609, 236825, 236764, 236771, 236771, 236771, 138, 107, 138, 236772, 18186, 580, 54257, 6224, 532, 15154, 568, 1904, 3530, 5500, 15663, 34074, 769, 138, 108, 1018, 10282, 66515, 90137, 1451, 9729, 10167, 580, 203841, 4615, 568, 236744, 236761, 236759, 1126, 37361, 7009, 236764, 5500, 33000, 236764, 653, 40718, 236858, 236751, 60977, 9642, 769, 108, 7243, 108, 10354, 5213, 3503, 12774, 50914, 573, 5180, 11493, 63907, 60283, 1018, 138, 107, 236770, 236761, 5213, 227187, 563, 27717, 66515, 4819, 9553, 6224, 3600, 28675, 1550, 14049, 3004, 236761, 138, 107, 236778, 236761, 5213, 236797, 7896, 30235, 66515, 14105, 749, 236761, 236773, 236761, 28675, 1149, 8913, 1388, 607, 3399, 236772, 5140, 14049, 22888, 236761, 138, 107, 236800, 236761, 5213, 10505, 536, 1854, 51508, 66515, 562, 3161, 1868, 1451, 6637, 609, 236812, 236761, 236810, 236855, 23278, 236825, 236855, 236764, 17674, 55233, 573, 10471, 768, 15154, 21777, 236761, 138, 108, 38786, 611, 1133, 1601, 114521, 3004, 6549, 653, 11298, 531, 53785, 672, 2630, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2426, 855, 672, 40718, 2881, 2760, 756, 60891, 236799, 1950, 10032, 236789, 600, 1041, 40135, 6950, 236761, 2625, 3189, 901, 1868, 496, 2606, 529, 14049, 10103, 532, 974, 1535, 15154, 236761, 5315, 236764, 740, 611, 5811, 855, 1217, 14076, 910, 23073, 2126, 659, 236881, 9929, 236764, 776, 1331, 3643, 1133, 532, 5739, 580, 910, 12714, 236881, 4298, 236764, 564, 236858, 236753, 2765, 531, 1281, 919, 1003, 506, 2881, 4850, 237028, 7843, 1551, 23073, 901, 735, 236764, 1144, 2712, 529, 3004, 901, 1868, 236764, 532, 1015, 910, 9998, 563, 236761, 9920, 692, 735, 600, 8283, 236764, 7463, 692, 740, 10967, 1217, 1623, 3273, 901, 1386, 699, 910, 10103, 236761, 564, 236858, 236757, 6972, 1003, 6250, 2613, 3361, 573, 1041, 3399, 14049, 7694, 236764, 834, 564, 44534, 1460, 768, 625, 236858, 236751, 5367, 506, 4514, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 92506, 236779, 4720, 1083, 623, 236828, 236761, 236810, 70887, 623, 28128, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236764, 623, 28128, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 28128, 236779, 158076, 236779, 721, 236779, 3274, 1083, 236743, 236800, 236771, 236771, 236771, 236764, 623, 6725, 236779, 76647, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236764, 623, 3955, 236779, 2084, 1083, 623, 117635, 52379, 532, 15028, 54233, 827, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236770, 236828, 236772, 236800, 236812, 827, 623, 24385, 236779, 52447, 1083, 623, 236832, 236778, 236908, 8256, 236764, 236743, 236778, 236828, 236908, 8937, 827, 623, 234863, 236779, 7125, 1083, 623, 43370, 5648, 3640, 4184, 236764, 607, 236743, 236812, 236810, 236908, 528, 14105, 5022, 23179, 623, 51183, 236779, 220929, 236779, 721, 236779, 3274, 1083, 6610, 236812, 236764, 236810, 236771, 236771, 753, 609, 236825, 236764, 236771, 236771, 236771, 568, 5140, 580, 15154, 532, 54257, 6224, 16291, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 25890, 529, 506, 40718, 2881, 808, 60891, 236799, 1950, 10032, 63508, 108, 7243, 108, 10354, 5213, 227187, 116589, 1018, 138, 107, 236772, 5213, 227187, 25870, 66515, 236743, 236828, 236761, 236810, 236908, 568, 1158, 3188, 573, 236743, 236778, 236810, 236771, 236855, 23073, 236768, 138, 107, 236772, 5213, 35089, 153883, 810, 6531, 66515, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 35089, 32213, 810, 6531, 66515, 236743, 236770, 236764, 236810, 236771, 236771, 138, 107, 236772, 5213, 35089, 85214, 810, 6531, 66515, 236743, 236800, 236764, 236771, 236771, 236771, 138, 108, 1018, 35434, 66515, 669, 9998, 563, 6112, 5158, 236764, 607, 9958, 9553, 3418, 12714, 236761, 85214, 3600, 3004, 563, 14271, 1194, 6998, 506, 7157, 84014, 3225, 236761, 108, 7243, 108, 10354, 5213, 13169, 29520, 1018, 138, 107, 236772, 5213, 9640, 208062, 66515, 236743, 236778, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 4795, 30235, 66515, 63907, 52379, 532, 15028, 54233, 138, 107, 236772, 5213, 40282, 1812, 6642, 50376, 66515, 138, 107, 138, 236772, 5213, 21035, 66515, 236743, 236770, 236828, 236772, 236800, 236812, 568, 201535, 3184, 12795, 236768, 138, 107, 138, 236772, 5213, 41022, 66515, 236743, 236832, 236778, 236908, 8256, 236764, 236743, 236778, 236828, 236908, 8937, 138, 107, 138, 236772, 5213, 6375, 66515, 236743, 236812, 236810, 236908, 699, 14105, 749, 236761, 236773, 236761, 5022, 138, 108, 1018, 176517, 66515, 669, 2881, 815, 496, 31253, 236764, 14076, 9998, 528, 506, 749, 236761, 236773, 1126, 6412, 3571, 3607, 7467, 528, 14049, 236761, 108, 7243, 108, 10354, 5213, 234755, 79645, 1018, 138, 107, 236772, 5213, 122598, 90137, 810, 6531, 66515, 609, 236812, 236764, 236810, 236771, 236771, 753, 609, 236825, 236764, 236771, 236771, 236771, 138, 107, 138, 236772, 18186, 580, 54257, 6224, 532, 15154, 568, 1904, 3530, 5500, 15663, 34074, 769, 138, 108, 1018, 10282, 66515, 90137, 1451, 9729, 10167, 580, 203841, 4615, 568, 236744, 236761, 236759, 1126, 37361, 7009, 236764, 5500, 33000, 236764, 653, 40718, 236858, 236751, 60977, 9642, 769, 108, 7243, 108, 10354, 5213, 3503, 12774, 50914, 573, 5180, 11493, 63907, 60283, 1018, 138, 107, 236770, 236761, 5213, 227187, 563, 27717, 66515, 4819, 9553, 6224, 3600, 28675, 1550, 14049, 3004, 236761, 138, 107, 236778, 236761, 5213, 236797, 7896, 30235, 66515, 14105, 749, 236761, 236773, 236761, 28675, 1149, 8913, 1388, 607, 3399, 236772, 5140, 14049, 22888, 236761, 138, 107, 236800, 236761, 5213, 10505, 536, 1854, 51508, 66515, 562, 3161, 1868, 1451, 6637, 609, 236812, 236761, 236810, 236855, 23278, 236825, 236855, 236764, 17674, 55233, 573, 10471, 768, 15154, 21777, 236761, 138, 108, 38786, 611, 1133, 1601, 114521, 3004, 6549, 653, 11298, 531, 53785, 672, 2630, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 16398, 531, 96525, 15140, 573, 496, 1719, 7946, 607, 1041, 23789, 672, 8224, 236761, 28344, 611, 1601, 786, 974, 506, 10294, 15852, 573, 1800, 234706, 1190, 532, 6863, 71868, 236881, 564, 1461, 531, 1386, 2889, 564, 735, 784, 506, 40052, 14767, 532, 35009, 5508, 236764, 840, 564, 236858, 236757, 18716, 1534, 30295, 2214, 532, 12717, 3487, 573, 4677, 236761, 3551, 9171, 6950, 38702, 1070, 14628, 573, 6514, 872, 506, 40052, 2433, 2311, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70878, 236779, 2234, 1083, 11058, 44746, 10023, 30195, 827, 623, 39918, 207214, 568, 30430, 2478, 833, 114996, 22730, 623, 32051, 9479, 568, 145979, 236764, 37532, 22730, 623, 157930, 532, 71800, 827, 623, 145163, 991, 1813, 827, 623, 18318, 7656, 827, 623, 53459, 497, 607, 8205, 37924, 14255, 623, 6457, 1083, 623, 2368, 126868, 1190, 827, 623, 23184, 1083, 623, 75652, 17772, 236787, 236743, 236770, 30195, 236764, 236743, 236825, 55127, 236764, 236743, 236800, 16931, 9479, 236764, 236743, 236778, 16226, 22259, 236764, 236743, 236770, 236778, 1813, 22727, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 70878, 236779, 2234, 1083, 11058, 44746, 10023, 2633, 568, 57238, 22730, 623, 17095, 96781, 28826, 25794, 568, 236812, 22730, 623, 14904, 6260, 30927, 607, 8205, 37924, 827, 623, 29334, 26014, 23791, 568, 236770, 236771, 765, 13634, 22730, 623, 99276, 16226, 568, 53767, 236772, 57684, 236764, 236743, 236770, 236810, 8173, 22730, 623, 18397, 1171, 11278, 5689, 827, 623, 148539, 34503, 607, 90214, 10886, 827, 623, 102768, 5689, 568, 702, 19798, 40470, 236764, 26960, 236764, 41706, 236768, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 10294, 15852, 573, 822, 96525, 15140, 7946, 236787, 108, 1018, 2368, 126868, 1190, 568, 44746, 10023, 77245, 833, 156459, 1473, 1018, 107, 236772, 170757, 30195, 568, 236770, 236768, 107, 236772, 10829, 207214, 568, 30430, 2478, 833, 114996, 236764, 236743, 236825, 2558, 236768, 107, 236772, 28776, 9479, 568, 145979, 236764, 37532, 236764, 2578, 236800, 16931, 236768, 107, 236772, 109169, 532, 71800, 568, 236778, 16226, 236768, 107, 236772, 66737, 991, 1813, 568, 236770, 236778, 22727, 236768, 107, 236772, 7718, 7656, 568, 236770, 11988, 236768, 107, 236772, 170557, 607, 8205, 37924, 568, 236770, 1076, 236768, 108, 1018, 9435, 71868, 568, 102768, 573, 170757, 37827, 1473, 1018, 107, 236772, 144769, 40052, 2633, 568, 236770, 236768, 107, 236772, 12500, 96781, 28826, 25794, 568, 236812, 236768, 107, 236772, 7941, 6260, 30927, 607, 8205, 37924, 568, 236770, 236768, 107, 236772, 236743, 236770, 236771, 765, 13634, 36187, 23791, 568, 236770, 236768, 107, 236772, 39591, 236772, 57684, 31012, 16226, 568, 236770, 236810, 8173, 236764, 236743, 236770, 3294, 236768, 107, 236772, 18711, 1171, 11278, 5689, 568, 236770, 236768, 107, 236772, 71808, 34503, 607, 90214, 10886, 568, 31162, 236768, 107, 236772, 56972, 5689, 568, 702, 19798, 40470, 236764, 26960, 236764, 41706, 236768, 108, 818, 15852, 7002, 128775, 607, 2299, 3548, 573, 2578, 236825, 1331, 236761, 21284, 611, 1133, 786, 531, 59638, 17772, 653, 3600, 24277, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 16398, 531, 96525, 15140, 573, 496, 1719, 7946, 607, 1041, 23789, 672, 8224, 236761, 28344, 611, 1601, 786, 974, 506, 10294, 15852, 573, 1800, 234706, 1190, 532, 6863, 71868, 236881, 564, 1461, 531, 1386, 2889, 564, 735, 784, 506, 40052, 14767, 532, 35009, 5508, 236764, 840, 564, 236858, 236757, 18716, 1534, 30295, 2214, 532, 12717, 3487, 573, 4677, 236761, 3551, 9171, 6950, 38702, 1070, 14628, 573, 6514, 872, 506, 40052, 2433, 2311, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70878, 236779, 2234, 1083, 11058, 44746, 10023, 30195, 827, 623, 39918, 207214, 568, 30430, 2478, 833, 114996, 22730, 623, 32051, 9479, 568, 145979, 236764, 37532, 22730, 623, 157930, 532, 71800, 827, 623, 145163, 991, 1813, 827, 623, 18318, 7656, 827, 623, 53459, 497, 607, 8205, 37924, 14255, 623, 6457, 1083, 623, 2368, 126868, 1190, 827, 623, 23184, 1083, 623, 75652, 17772, 236787, 236743, 236770, 30195, 236764, 236743, 236825, 55127, 236764, 236743, 236800, 16931, 9479, 236764, 236743, 236778, 16226, 22259, 236764, 236743, 236770, 236778, 1813, 22727, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 70878, 236779, 2234, 1083, 11058, 44746, 10023, 2633, 568, 57238, 22730, 623, 17095, 96781, 28826, 25794, 568, 236812, 22730, 623, 14904, 6260, 30927, 607, 8205, 37924, 827, 623, 29334, 26014, 23791, 568, 236770, 236771, 765, 13634, 22730, 623, 99276, 16226, 568, 53767, 236772, 57684, 236764, 236743, 236770, 236810, 8173, 22730, 623, 18397, 1171, 11278, 5689, 827, 623, 148539, 34503, 607, 90214, 10886, 827, 623, 102768, 5689, 568, 702, 19798, 40470, 236764, 26960, 236764, 41706, 236768, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 10294, 15852, 573, 822, 96525, 15140, 7946, 236787, 108, 1018, 2368, 126868, 1190, 568, 44746, 10023, 77245, 833, 156459, 1473, 1018, 107, 236772, 170757, 30195, 568, 236770, 236768, 107, 236772, 10829, 207214, 568, 30430, 2478, 833, 114996, 236764, 236743, 236825, 2558, 236768, 107, 236772, 28776, 9479, 568, 145979, 236764, 37532, 236764, 2578, 236800, 16931, 236768, 107, 236772, 109169, 532, 71800, 568, 236778, 16226, 236768, 107, 236772, 66737, 991, 1813, 568, 236770, 236778, 22727, 236768, 107, 236772, 7718, 7656, 568, 236770, 11988, 236768, 107, 236772, 170557, 607, 8205, 37924, 568, 236770, 1076, 236768, 108, 1018, 9435, 71868, 568, 102768, 573, 170757, 37827, 1473, 1018, 107, 236772, 144769, 40052, 2633, 568, 236770, 236768, 107, 236772, 12500, 96781, 28826, 25794, 568, 236812, 236768, 107, 236772, 7941, 6260, 30927, 607, 8205, 37924, 568, 236770, 236768, 107, 236772, 236743, 236770, 236771, 765, 13634, 36187, 23791, 568, 236770, 236768, 107, 236772, 39591, 236772, 57684, 31012, 16226, 568, 236770, 236810, 8173, 236764, 236743, 236770, 3294, 236768, 107, 236772, 18711, 1171, 11278, 5689, 568, 236770, 236768, 107, 236772, 71808, 34503, 607, 90214, 10886, 568, 31162, 236768, 107, 236772, 56972, 5689, 568, 702, 19798, 40470, 236764, 26960, 236764, 41706, 236768, 108, 818, 15852, 7002, 128775, 607, 2299, 3548, 573, 2578, 236825, 1331, 236761, 21284, 611, 1133, 786, 531, 59638, 17772, 653, 3600, 24277, 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, 15224, 236764, 496, 2203, 7616, 35447, 496, 2434, 30037, 236761, 564, 1202, 531, 16807, 496, 6327, 3733, 1548, 573, 1023, 7548, 1458, 236761, 669, 1548, 563, 236743, 236812, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236761, 7323, 1171, 2426, 506, 18411, 236743, 236770, 236771, 18256, 236764, 532, 768, 625, 236789, 236751, 4341, 236764, 1299, 33205, 506, 161872, 1938, 573, 506, 1171, 236743, 236825, 26798, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6264, 1083, 623, 236812, 236770, 236770, 236770, 236770, 236770, 827, 623, 209063, 1083, 623, 130820, 827, 623, 15433, 1083, 623, 130820, 5295, 10498, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 6307, 236779, 2084, 1083, 623, 188239, 827, 623, 14801, 236779, 3970, 1083, 623, 3118, 827, 623, 1734, 23460, 1083, 2416, 236764, 623, 5909, 1083, 623, 83738, 25938, 106, 107, 105, 4368, 107, 818, 6327, 3733, 1548, 5213, 236812, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 1018, 815, 6915, 506, 18411, 236743, 236770, 236771, 18256, 2426, 568, 4730, 769, 236743, 108, 8291, 659, 506, 161872, 4889, 573, 506, 1171, 236743, 236825, 26798, 167043, 236812, 236770, 236770, 236770, 236770, 236770, 1018, 1473, 107, 236772, 5213, 175231, 66515, 39544, 107, 236772, 5213, 24101, 66515, 39544, 5295, 236761, 107, 236772, 5213, 27969, 66515, 3640, 4184, 568, 3118, 236768, 107, 236772, 5213, 9789, 9250, 66515, 146005, 107, 236772, 5213, 27969, 8739, 66515, 2590, 107, 236772, 5213, 3695, 23460, 66515, 2301, 107, 236772, 5213, 9789, 16575, 66515, 27847, 108, 2094, 44898, 506, 3733, 563, 496, 4341, 39544, 146005, 3733, 10713, 684, 39544, 5295, 236761, 528, 506, 3640, 4184, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 15224, 236764, 496, 2203, 7616, 35447, 496, 2434, 30037, 236761, 564, 1202, 531, 16807, 496, 6327, 3733, 1548, 573, 1023, 7548, 1458, 236761, 669, 1548, 563, 236743, 236812, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236761, 7323, 1171, 2426, 506, 18411, 236743, 236770, 236771, 18256, 236764, 532, 768, 625, 236789, 236751, 4341, 236764, 1299, 33205, 506, 161872, 1938, 573, 506, 1171, 236743, 236825, 26798, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6264, 1083, 623, 236812, 236770, 236770, 236770, 236770, 236770, 827, 623, 209063, 1083, 623, 130820, 827, 623, 15433, 1083, 623, 130820, 5295, 10498, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 6307, 236779, 2084, 1083, 623, 188239, 827, 623, 14801, 236779, 3970, 1083, 623, 3118, 827, 623, 1734, 23460, 1083, 2416, 236764, 623, 5909, 1083, 623, 83738, 25938, 106, 107, 105, 4368, 107, 818, 6327, 3733, 1548, 5213, 236812, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 236770, 1018, 815, 6915, 506, 18411, 236743, 236770, 236771, 18256, 2426, 568, 4730, 769, 236743, 108, 8291, 659, 506, 161872, 4889, 573, 506, 1171, 236743, 236825, 26798, 167043, 236812, 236770, 236770, 236770, 236770, 236770, 1018, 1473, 107, 236772, 5213, 175231, 66515, 39544, 107, 236772, 5213, 24101, 66515, 39544, 5295, 236761, 107, 236772, 5213, 27969, 66515, 3640, 4184, 568, 3118, 236768, 107, 236772, 5213, 9789, 9250, 66515, 146005, 107, 236772, 5213, 27969, 8739, 66515, 2590, 107, 236772, 5213, 3695, 23460, 66515, 2301, 107, 236772, 5213, 9789, 16575, 66515, 27847, 108, 2094, 44898, 506, 3733, 563, 496, 4341, 39544, 146005, 3733, 10713, 684, 39544, 5295, 236761, 528, 506, 3640, 4184, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12104, 1041, 8126, 32286, 44262, 753, 2613, 607, 42774, 18248, 532, 63621, 74271, 236761, 1030, 236789, 236751, 990, 531, 113076, 1308, 496, 1440, 1719, 529, 20446, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236753, 577, 5293, 531, 1601, 611, 113076, 607, 1070, 32286, 236888, 3153, 236764, 564, 1202, 506, 3530, 1463, 529, 822, 32286, 44262, 531, 1441, 625, 236761, 28344, 611, 5091, 4024, 506, 1463, 529, 506, 44262, 611, 236789, 236753, 1133, 786, 531, 1441, 236881, 1701, 2591, 236787, 623, 122909, 833, 63621, 44795, 29785, 236775, 653, 623, 71188, 44795, 177080, 3056, 106, 107, 105, 2364, 107, 236775, 122909, 833, 63621, 44795, 29785, 236775, 753, 600, 236789, 236751, 506, 886, 564, 67722, 573, 5226, 236772, 9467, 20446, 14845, 236761, 1030, 9857, 607, 623, 4324, 2900, 236775, 532, 17752, 1131, 63621, 236789, 236751, 623, 10495, 236757, 80743, 1781, 26079, 573, 41346, 3213, 532, 21196, 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, 6445, 5662, 44262, 236787, 42774, 833, 63621, 44795, 29785, 827, 623, 4002, 236779, 11861, 1083, 623, 4324, 2900, 753, 42774, 18248, 25938, 106, 107, 105, 4368, 107, 11069, 623, 122909, 833, 63621, 44795, 29785, 236775, 563, 1492, 5662, 236888, 236743, 251075, 239794, 138, 107, 1018, 8782, 4087, 53121, 165996, 4324, 2900, 147698, 684, 42774, 18248, 138, 107, 818, 44262, 795, 2727, 2148, 1131, 63621, 74271, 236789, 236751, 165996, 10495, 236757, 80743, 147698, 237028, 50936, 573, 16977, 600, 5226, 236772, 9467, 20446, 51964, 236761, 3792, 506, 7080, 32286, 6081, 611, 1343, 506, 6478, 236888, 236743, 244862, 243336, 106, 107, 105, 2364, 107, 818, 7080, 32286, 563, 28174, 13275, 753, 7806, 611, 236888, 4224, 236764, 564, 1202, 1601, 6995, 1041, 2148, 2523, 3517, 236761, 28344, 611, 1385, 872, 506, 15375, 573, 1041, 40135, 236789, 236751, 861, 1977, 528, 26431, 236881, 669, 3421, 563, 236743, 236770, 236778, 236800, 203835, 6718, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236771, 236800, 236761, 564, 1461, 531, 8541, 672, 580, 1041, 4301, 4187, 573, 506, 1051, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236800, 236761, 236832, 236812, 236828, 236810, 236764, 623, 41713, 1083, 753, 236828, 236812, 236761, 236800, 236819, 236800, 236810, 236764, 623, 7720, 1083, 623, 236770, 236778, 236800, 203835, 6718, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236771, 236800, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 1765, 506, 15375, 573, 822, 40135, 236789, 236751, 3421, 528, 26431, 236888, 236743, 248667, 238178, 138, 107, 1018, 236770, 236778, 236800, 203835, 6718, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236771, 236800, 1018, 138, 107, 244343, 165356, 236787, 236743, 236800, 236800, 236761, 236832, 236812, 236828, 236810, 138, 107, 244343, 8099, 4637, 236787, 753, 236828, 236812, 236761, 236800, 236819, 236800, 236810, 138, 108, 9208, 15375, 659, 5508, 531, 577, 36258, 580, 822, 4301, 4187, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 573, 822, 2523, 3517, 6995, 236888, 236743, 244710, 238178, 243874, 243767, 244814, 244990, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12104, 1041, 8126, 32286, 44262, 753, 2613, 607, 42774, 18248, 532, 63621, 74271, 236761, 1030, 236789, 236751, 990, 531, 113076, 1308, 496, 1440, 1719, 529, 20446, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236753, 577, 5293, 531, 1601, 611, 113076, 607, 1070, 32286, 236888, 3153, 236764, 564, 1202, 506, 3530, 1463, 529, 822, 32286, 44262, 531, 1441, 625, 236761, 28344, 611, 5091, 4024, 506, 1463, 529, 506, 44262, 611, 236789, 236753, 1133, 786, 531, 1441, 236881, 1701, 2591, 236787, 623, 122909, 833, 63621, 44795, 29785, 236775, 653, 623, 71188, 44795, 177080, 3056, 106, 107, 105, 2364, 107, 236775, 122909, 833, 63621, 44795, 29785, 236775, 753, 600, 236789, 236751, 506, 886, 564, 67722, 573, 5226, 236772, 9467, 20446, 14845, 236761, 1030, 9857, 607, 623, 4324, 2900, 236775, 532, 17752, 1131, 63621, 236789, 236751, 623, 10495, 236757, 80743, 1781, 26079, 573, 41346, 3213, 532, 21196, 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, 6445, 5662, 44262, 236787, 42774, 833, 63621, 44795, 29785, 827, 623, 4002, 236779, 11861, 1083, 623, 4324, 2900, 753, 42774, 18248, 25938, 106, 107, 105, 4368, 107, 11069, 623, 122909, 833, 63621, 44795, 29785, 236775, 563, 1492, 5662, 236888, 236743, 251075, 239794, 138, 107, 1018, 8782, 4087, 53121, 165996, 4324, 2900, 147698, 684, 42774, 18248, 138, 107, 818, 44262, 795, 2727, 2148, 1131, 63621, 74271, 236789, 236751, 165996, 10495, 236757, 80743, 147698, 237028, 50936, 573, 16977, 600, 5226, 236772, 9467, 20446, 51964, 236761, 3792, 506, 7080, 32286, 6081, 611, 1343, 506, 6478, 236888, 236743, 244862, 243336, 106, 107, 105, 2364, 107, 818, 7080, 32286, 563, 28174, 13275, 753, 7806, 611, 236888, 4224, 236764, 564, 1202, 1601, 6995, 1041, 2148, 2523, 3517, 236761, 28344, 611, 1385, 872, 506, 15375, 573, 1041, 40135, 236789, 236751, 861, 1977, 528, 26431, 236881, 669, 3421, 563, 236743, 236770, 236778, 236800, 203835, 6718, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236771, 236800, 236761, 564, 1461, 531, 8541, 672, 580, 1041, 4301, 4187, 573, 506, 1051, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 1083, 236743, 236800, 236800, 236761, 236832, 236812, 236828, 236810, 236764, 623, 41713, 1083, 753, 236828, 236812, 236761, 236800, 236819, 236800, 236810, 236764, 623, 7720, 1083, 623, 236770, 236778, 236800, 203835, 6718, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236771, 236800, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 1765, 506, 15375, 573, 822, 40135, 236789, 236751, 3421, 528, 26431, 236888, 236743, 248667, 238178, 138, 107, 1018, 236770, 236778, 236800, 203835, 6718, 236764, 26431, 236764, 23639, 236743, 236800, 236771, 236800, 236771, 236800, 1018, 138, 107, 244343, 165356, 236787, 236743, 236800, 236800, 236761, 236832, 236812, 236828, 236810, 138, 107, 244343, 8099, 4637, 236787, 753, 236828, 236812, 236761, 236800, 236819, 236800, 236810, 138, 108, 9208, 15375, 659, 5508, 531, 577, 36258, 580, 822, 4301, 4187, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 573, 822, 2523, 3517, 6995, 236888, 236743, 244710, 238178, 243874, 243767, 244814, 244990, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6972, 1003, 32826, 496, 4456, 573, 1041, 16038, 21154, 1960, 528, 9833, 46871, 532, 1461, 531, 2426, 1217, 3361, 26104, 2121, 26395, 236772, 5059, 236761, 28344, 611, 18840, 506, 8610, 623, 33250, 46871, 1474, 1810, 709, 236761, 854, 236775, 532, 2847, 19455, 1133, 8827, 14287, 236764, 1063, 2883, 20183, 236764, 532, 30136, 47551, 236881, 6542, 236764, 2338, 1346, 529, 1041, 5103, 795, 577, 2263, 236764, 1451, 611, 5330, 506, 3671, 27917, 506, 749, 236761, 236773, 236761, 2436, 11521, 236881, 1174, 1093, 1601, 786, 10741, 768, 672, 8610, 563, 5367, 35778, 653, 768, 564, 1374, 6253, 1041, 41628, 7545, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 33250, 46871, 1474, 1810, 709, 236761, 854, 827, 623, 14801, 236779, 28263, 1083, 623, 3118, 827, 623, 29263, 1083, 3714, 34791, 236779, 41427, 1083, 236743, 236770, 236778, 236828, 236771, 236764, 623, 19645, 236779, 13126, 1083, 236743, 236812, 236778, 236764, 623, 47340, 236779, 50257, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236764, 623, 1942, 17943, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236771, 236764, 623, 3991, 236779, 41427, 1083, 11058, 193857, 3019, 3541, 786, 827, 623, 9913, 11790, 9833, 46871, 827, 623, 4554, 9626, 2590, 827, 623, 9783, 6282, 7805, 15786, 14255, 623, 3991, 236779, 14801, 1083, 623, 27211, 4184, 827, 623, 3955, 236779, 20845, 1083, 236743, 236800, 236812, 236771, 236764, 623, 4000, 236779, 11243, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 23104, 236779, 9933, 43178, 1083, 623, 11947, 23179, 623, 34032, 2168, 236779, 88933, 1083, 3714, 28128, 236779, 19645, 236779, 13126, 1083, 236743, 236810, 236828, 236764, 623, 28128, 236779, 47340, 236779, 50257, 1083, 236743, 236778, 236778, 236771, 236771, 236771, 1263, 623, 85038, 847, 1083, 11058, 100924, 3104, 4249, 684, 61232, 4876, 532, 80864, 827, 623, 10206, 2263, 30154, 607, 4563, 236772, 15396, 3004, 827, 623, 5344, 199558, 1343, 2263, 1960, 49266, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 506, 26395, 3671, 573, 5213, 33250, 46871, 1474, 1810, 709, 236761, 854, 1018, 532, 83979, 19317, 573, 822, 2263, 21154, 1960, 236787, 108, 7243, 108, 10354, 5213, 3503, 26395, 116589, 1018, 107, 236772, 5213, 31212, 47240, 568, 7560, 1473, 1018, 236743, 236812, 236778, 568, 19503, 1082, 43365, 4398, 529, 236743, 236810, 236828, 236768, 107, 236772, 5213, 60957, 79645, 53121, 2578, 236770, 236812, 236761, 236810, 236855, 13822, 20503, 568, 21314, 236761, 43365, 4398, 529, 236743, 236778, 236778, 236855, 236768, 107, 236772, 5213, 5566, 17943, 53121, 236743, 236778, 236828, 236810, 236855, 26242, 26104, 107, 236772, 5213, 8534, 97927, 53121, 236743, 107, 138, 236772, 623, 193857, 3019, 3541, 786, 236775, 107, 138, 236772, 623, 9913, 11790, 9833, 46871, 236775, 107, 138, 236772, 623, 9783, 6282, 7805, 15786, 236775, 107, 236772, 5213, 13149, 30235, 53121, 27717, 25000, 607, 749, 236761, 236773, 236761, 532, 15786, 236772, 15396, 30154, 236761, 108, 7243, 108, 10354, 5213, 100510, 833, 91330, 1018, 107, 236770, 236761, 5213, 13149, 26395, 23737, 831, 1018, 107, 139, 236772, 5213, 39066, 6475, 3551, 7449, 53121, 41152, 822, 1960, 7412, 580, 6475, 39247, 532, 2263, 623, 39952, 786, 236775, 34369, 236761, 107, 139, 236772, 5213, 5344, 12263, 19007, 847, 53121, 4361, 822, 1960, 580, 14175, 1133, 133296, 236764, 24369, 45944, 236764, 532, 15786, 236772, 15396, 49266, 236761, 107, 139, 236772, 5213, 58935, 236772, 13149, 16748, 53121, 8600, 7704, 28307, 623, 35000, 46871, 6282, 11790, 2098, 623, 94298, 1295, 9626, 2098, 4044, 236761, 108, 236778, 236761, 5213, 58972, 95229, 1018, 107, 139, 236772, 5213, 4163, 23902, 62840, 53121, 31248, 6317, 699, 236743, 236832, 236828, 531, 236743, 236819, 236771, 236862, 684, 149545, 4876, 532, 24943, 80864, 236761, 107, 139, 236772, 5213, 26637, 20369, 53121, 41152, 784, 7704, 659, 6340, 30415, 568, 4002, 6317, 236787, 623, 11947, 4248, 108, 236800, 236761, 5213, 4795, 34428, 1018, 107, 139, 236772, 5213, 236799, 22544, 53121, 22789, 26309, 1133, 623, 8534, 236743, 236810, 3331, 40675, 33879, 573, 15786, 81800, 236775, 531, 7440, 2263, 8827, 236761, 107, 139, 236772, 5213, 4098, 45944, 53121, 136381, 7704, 573, 30154, 1133, 623, 35000, 46871, 4446, 2352, 236775, 653, 623, 94298, 22961, 11790, 1781, 108, 236812, 236761, 5213, 5566, 2883, 26608, 1018, 107, 139, 236772, 32300, 607, 2263, 8634, 568, 236744, 236761, 236759, 1126, 1295, 124709, 236768, 573, 4071, 236772, 125845, 236761, 107, 139, 236772, 133857, 2263, 4749, 653, 56797, 532, 2864, 199558, 236761, 108, 7243, 108, 10354, 5213, 31336, 1599, 101685, 607, 1174, 49822, 236881, 1018, 107, 236772, 5213, 10784, 236764, 607, 30981, 99382, 669, 8610, 563, 2487, 236764, 7798, 531, 822, 1960, 236764, 532, 815, 3188, 2263, 30136, 3435, 236761, 25966, 7428, 735, 15281, 26395, 19455, 236764, 840, 28893, 2849, 528, 2263, 28307, 236764, 837, 611, 740, 38755, 607, 10317, 7880, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 236770, 236761, 17697, 506, 8610, 532, 1076, 872, 496, 6475, 3551, 7449, 8781, 236761, 107, 236778, 236761, 41276, 506, 8330, 183660, 568, 11243, 236764, 6551, 769, 107, 236800, 236761, 9187, 3788, 2263, 199558, 532, 26820, 4563, 236772, 15396, 3004, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 30136, 2958, 236764, 3004, 6549, 236764, 653, 43365, 3671, 236888, 236743, 247975, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6972, 1003, 32826, 496, 4456, 573, 1041, 16038, 21154, 1960, 528, 9833, 46871, 532, 1461, 531, 2426, 1217, 3361, 26104, 2121, 26395, 236772, 5059, 236761, 28344, 611, 18840, 506, 8610, 623, 33250, 46871, 1474, 1810, 709, 236761, 854, 236775, 532, 2847, 19455, 1133, 8827, 14287, 236764, 1063, 2883, 20183, 236764, 532, 30136, 47551, 236881, 6542, 236764, 2338, 1346, 529, 1041, 5103, 795, 577, 2263, 236764, 1451, 611, 5330, 506, 3671, 27917, 506, 749, 236761, 236773, 236761, 2436, 11521, 236881, 1174, 1093, 1601, 786, 10741, 768, 672, 8610, 563, 5367, 35778, 653, 768, 564, 1374, 6253, 1041, 41628, 7545, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 33250, 46871, 1474, 1810, 709, 236761, 854, 827, 623, 14801, 236779, 28263, 1083, 623, 3118, 827, 623, 29263, 1083, 3714, 34791, 236779, 41427, 1083, 236743, 236770, 236778, 236828, 236771, 236764, 623, 19645, 236779, 13126, 1083, 236743, 236812, 236778, 236764, 623, 47340, 236779, 50257, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236764, 623, 1942, 17943, 1083, 236743, 236778, 236828, 236810, 236771, 236771, 236771, 236764, 623, 3991, 236779, 41427, 1083, 11058, 193857, 3019, 3541, 786, 827, 623, 9913, 11790, 9833, 46871, 827, 623, 4554, 9626, 2590, 827, 623, 9783, 6282, 7805, 15786, 14255, 623, 3991, 236779, 14801, 1083, 623, 27211, 4184, 827, 623, 3955, 236779, 20845, 1083, 236743, 236800, 236812, 236771, 236764, 623, 4000, 236779, 11243, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 23104, 236779, 9933, 43178, 1083, 623, 11947, 23179, 623, 34032, 2168, 236779, 88933, 1083, 3714, 28128, 236779, 19645, 236779, 13126, 1083, 236743, 236810, 236828, 236764, 623, 28128, 236779, 47340, 236779, 50257, 1083, 236743, 236778, 236778, 236771, 236771, 236771, 1263, 623, 85038, 847, 1083, 11058, 100924, 3104, 4249, 684, 61232, 4876, 532, 80864, 827, 623, 10206, 2263, 30154, 607, 4563, 236772, 15396, 3004, 827, 623, 5344, 199558, 1343, 2263, 1960, 49266, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 506, 26395, 3671, 573, 5213, 33250, 46871, 1474, 1810, 709, 236761, 854, 1018, 532, 83979, 19317, 573, 822, 2263, 21154, 1960, 236787, 108, 7243, 108, 10354, 5213, 3503, 26395, 116589, 1018, 107, 236772, 5213, 31212, 47240, 568, 7560, 1473, 1018, 236743, 236812, 236778, 568, 19503, 1082, 43365, 4398, 529, 236743, 236810, 236828, 236768, 107, 236772, 5213, 60957, 79645, 53121, 2578, 236770, 236812, 236761, 236810, 236855, 13822, 20503, 568, 21314, 236761, 43365, 4398, 529, 236743, 236778, 236778, 236855, 236768, 107, 236772, 5213, 5566, 17943, 53121, 236743, 236778, 236828, 236810, 236855, 26242, 26104, 107, 236772, 5213, 8534, 97927, 53121, 236743, 107, 138, 236772, 623, 193857, 3019, 3541, 786, 236775, 107, 138, 236772, 623, 9913, 11790, 9833, 46871, 236775, 107, 138, 236772, 623, 9783, 6282, 7805, 15786, 236775, 107, 236772, 5213, 13149, 30235, 53121, 27717, 25000, 607, 749, 236761, 236773, 236761, 532, 15786, 236772, 15396, 30154, 236761, 108, 7243, 108, 10354, 5213, 100510, 833, 91330, 1018, 107, 236770, 236761, 5213, 13149, 26395, 23737, 831, 1018, 107, 139, 236772, 5213, 39066, 6475, 3551, 7449, 53121, 41152, 822, 1960, 7412, 580, 6475, 39247, 532, 2263, 623, 39952, 786, 236775, 34369, 236761, 107, 139, 236772, 5213, 5344, 12263, 19007, 847, 53121, 4361, 822, 1960, 580, 14175, 1133, 133296, 236764, 24369, 45944, 236764, 532, 15786, 236772, 15396, 49266, 236761, 107, 139, 236772, 5213, 58935, 236772, 13149, 16748, 53121, 8600, 7704, 28307, 623, 35000, 46871, 6282, 11790, 2098, 623, 94298, 1295, 9626, 2098, 4044, 236761, 108, 236778, 236761, 5213, 58972, 95229, 1018, 107, 139, 236772, 5213, 4163, 23902, 62840, 53121, 31248, 6317, 699, 236743, 236832, 236828, 531, 236743, 236819, 236771, 236862, 684, 149545, 4876, 532, 24943, 80864, 236761, 107, 139, 236772, 5213, 26637, 20369, 53121, 41152, 784, 7704, 659, 6340, 30415, 568, 4002, 6317, 236787, 623, 11947, 4248, 108, 236800, 236761, 5213, 4795, 34428, 1018, 107, 139, 236772, 5213, 236799, 22544, 53121, 22789, 26309, 1133, 623, 8534, 236743, 236810, 3331, 40675, 33879, 573, 15786, 81800, 236775, 531, 7440, 2263, 8827, 236761, 107, 139, 236772, 5213, 4098, 45944, 53121, 136381, 7704, 573, 30154, 1133, 623, 35000, 46871, 4446, 2352, 236775, 653, 623, 94298, 22961, 11790, 1781, 108, 236812, 236761, 5213, 5566, 2883, 26608, 1018, 107, 139, 236772, 32300, 607, 2263, 8634, 568, 236744, 236761, 236759, 1126, 1295, 124709, 236768, 573, 4071, 236772, 125845, 236761, 107, 139, 236772, 133857, 2263, 4749, 653, 56797, 532, 2864, 199558, 236761, 108, 7243, 108, 10354, 5213, 31336, 1599, 101685, 607, 1174, 49822, 236881, 1018, 107, 236772, 5213, 10784, 236764, 607, 30981, 99382, 669, 8610, 563, 2487, 236764, 7798, 531, 822, 1960, 236764, 532, 815, 3188, 2263, 30136, 3435, 236761, 25966, 7428, 735, 15281, 26395, 19455, 236764, 840, 28893, 2849, 528, 2263, 28307, 236764, 837, 611, 740, 38755, 607, 10317, 7880, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 236770, 236761, 17697, 506, 8610, 532, 1076, 872, 496, 6475, 3551, 7449, 8781, 236761, 107, 236778, 236761, 41276, 506, 8330, 183660, 568, 11243, 236764, 6551, 769, 107, 236800, 236761, 9187, 3788, 2263, 199558, 532, 26820, 4563, 236772, 15396, 3004, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 30136, 2958, 236764, 3004, 6549, 236764, 653, 43365, 3671, 236888, 236743, 247975, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 3980, 872, 1070, 2255, 5052, 1458, 13049, 699, 3293, 13750, 85972, 236764, 840, 564, 236789, 236757, 711, 2889, 837, 5734, 659, 6338, 531, 9311, 236761, 5715, 236789, 236751, 506, 15424, 529, 496, 2129, 564, 1751, 2473, 577, 59891, 236787, 236743, 236832, 236781, 236819, 236751, 140601, 236761, 5315, 236764, 2426, 768, 625, 7519, 236761, 1637, 625, 1677, 236764, 16807, 1061, 8487, 4981, 236761, 1637, 625, 236789, 236751, 6340, 18761, 236764, 33205, 1061, 28436, 531, 9128, 625, 236789, 236751, 4596, 531, 506, 236743, 236778, 236771, 236770, 236828, 145059, 25929, 2203, 236764, 532, 768, 784, 600, 17507, 855, 236764, 9311, 625, 236761, 2024, 776, 672, 2918, 684, 2918, 753, 564, 1537, 236789, 236745, 1461, 531, 10382, 4658, 2132, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14751, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14751, 1083, 1847, 236764, 623, 4818, 1083, 623, 17302, 827, 623, 16717, 1083, 236743, 236770, 236771, 236771, 236764, 623, 1899, 1083, 2303, 236764, 623, 12100, 1083, 623, 3626, 71654, 236779, 78944, 236779, 11205, 236779, 15081, 236779, 236778, 236771, 236770, 236828, 236761, 10888, 827, 623, 2086, 1083, 623, 236778, 236761, 236812, 11792, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236832, 236781, 236819, 236751, 140601, 1083, 3714, 12100, 1083, 623, 19120, 236779, 97003, 236779, 22297, 71654, 116749, 236779, 236778, 236771, 236770, 236828, 236761, 10888, 827, 623, 3955, 236779, 2084, 1083, 623, 9458, 236786, 10888, 827, 623, 2086, 236779, 18222, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 236825, 236828, 236764, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 23046, 236779, 4818, 1083, 623, 17302, 827, 623, 19112, 1083, 11058, 11205, 827, 623, 3626, 71654, 236779, 78944, 827, 623, 236778, 236771, 236770, 236828, 827, 623, 52078, 14255, 623, 21052, 1083, 3714, 6201, 236779, 1201, 1083, 623, 22297, 71654, 25929, 12096, 79993, 827, 623, 7565, 236779, 2084, 1083, 623, 58972, 67831, 827, 623, 10331, 34338, 1083, 1847, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10934, 1083, 1847, 236764, 623, 11240, 1083, 623, 236832, 236781, 236819, 236751, 140601, 827, 623, 4818, 1083, 623, 54465, 827, 623, 4375, 1083, 623, 14357, 6511, 756, 236832, 236781, 236819, 236751, 140601, 236789, 10428, 21717, 699, 3293, 13750, 85972, 827, 623, 21052, 1083, 3714, 6201, 1083, 623, 236778, 236771, 236770, 236828, 145059, 25929, 12096, 1804, 827, 623, 2164, 236779, 2084, 1083, 623, 25323, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 127096, 106, 107, 105, 4368, 107, 818, 2129, 607, 15424, 2165, 236832, 236781, 236819, 236751, 140601, 236929, 815, 1010, 10428, 21717, 236761, 5715, 236789, 236751, 496, 12323, 529, 506, 6555, 236787, 108, 236770, 236761, 5213, 193168, 10778, 66515, 669, 2129, 7519, 528, 3293, 13750, 85972, 236761, 107, 236778, 236761, 5213, 52200, 4981, 66515, 97888, 568, 236770, 236771, 236771, 236908, 18761, 236764, 951, 9825, 769, 107, 236800, 236761, 5213, 31139, 27662, 66515, 236743, 107, 139, 236772, 7823, 6434, 236787, 2165, 19120, 236779, 97003, 236779, 22297, 71654, 116749, 236779, 236778, 236771, 236770, 236828, 236761, 10888, 236929, 107, 139, 236772, 7879, 236787, 623, 22297, 71654, 25929, 12096, 79993, 236775, 107, 139, 236772, 64663, 236787, 2165, 11205, 8347, 2165, 3626, 71654, 236779, 78944, 8347, 2165, 236778, 236771, 236770, 236828, 236929, 107, 139, 236772, 125685, 236787, 8438, 108, 236812, 236761, 5213, 180213, 4981, 66515, 113452, 82521, 21717, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 2121, 3361, 17507, 573, 1032, 5734, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 3980, 872, 1070, 2255, 5052, 1458, 13049, 699, 3293, 13750, 85972, 236764, 840, 564, 236789, 236757, 711, 2889, 837, 5734, 659, 6338, 531, 9311, 236761, 5715, 236789, 236751, 506, 15424, 529, 496, 2129, 564, 1751, 2473, 577, 59891, 236787, 236743, 236832, 236781, 236819, 236751, 140601, 236761, 5315, 236764, 2426, 768, 625, 7519, 236761, 1637, 625, 1677, 236764, 16807, 1061, 8487, 4981, 236761, 1637, 625, 236789, 236751, 6340, 18761, 236764, 33205, 1061, 28436, 531, 9128, 625, 236789, 236751, 4596, 531, 506, 236743, 236778, 236771, 236770, 236828, 145059, 25929, 2203, 236764, 532, 768, 784, 600, 17507, 855, 236764, 9311, 625, 236761, 2024, 776, 672, 2918, 684, 2918, 753, 564, 1537, 236789, 236745, 1461, 531, 10382, 4658, 2132, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14751, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14751, 1083, 1847, 236764, 623, 4818, 1083, 623, 17302, 827, 623, 16717, 1083, 236743, 236770, 236771, 236771, 236764, 623, 1899, 1083, 2303, 236764, 623, 12100, 1083, 623, 3626, 71654, 236779, 78944, 236779, 11205, 236779, 15081, 236779, 236778, 236771, 236770, 236828, 236761, 10888, 827, 623, 2086, 1083, 623, 236778, 236761, 236812, 11792, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236832, 236781, 236819, 236751, 140601, 1083, 3714, 12100, 1083, 623, 19120, 236779, 97003, 236779, 22297, 71654, 116749, 236779, 236778, 236771, 236770, 236828, 236761, 10888, 827, 623, 3955, 236779, 2084, 1083, 623, 9458, 236786, 10888, 827, 623, 2086, 236779, 18222, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 236825, 236828, 236764, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 23046, 236779, 4818, 1083, 623, 17302, 827, 623, 19112, 1083, 11058, 11205, 827, 623, 3626, 71654, 236779, 78944, 827, 623, 236778, 236771, 236770, 236828, 827, 623, 52078, 14255, 623, 21052, 1083, 3714, 6201, 236779, 1201, 1083, 623, 22297, 71654, 25929, 12096, 79993, 827, 623, 7565, 236779, 2084, 1083, 623, 58972, 67831, 827, 623, 10331, 34338, 1083, 1847, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10934, 1083, 1847, 236764, 623, 11240, 1083, 623, 236832, 236781, 236819, 236751, 140601, 827, 623, 4818, 1083, 623, 54465, 827, 623, 4375, 1083, 623, 14357, 6511, 756, 236832, 236781, 236819, 236751, 140601, 236789, 10428, 21717, 699, 3293, 13750, 85972, 827, 623, 21052, 1083, 3714, 6201, 1083, 623, 236778, 236771, 236770, 236828, 145059, 25929, 12096, 1804, 827, 623, 2164, 236779, 2084, 1083, 623, 25323, 827, 623, 13331, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 127096, 106, 107, 105, 4368, 107, 818, 2129, 607, 15424, 2165, 236832, 236781, 236819, 236751, 140601, 236929, 815, 1010, 10428, 21717, 236761, 5715, 236789, 236751, 496, 12323, 529, 506, 6555, 236787, 108, 236770, 236761, 5213, 193168, 10778, 66515, 669, 2129, 7519, 528, 3293, 13750, 85972, 236761, 107, 236778, 236761, 5213, 52200, 4981, 66515, 97888, 568, 236770, 236771, 236771, 236908, 18761, 236764, 951, 9825, 769, 107, 236800, 236761, 5213, 31139, 27662, 66515, 236743, 107, 139, 236772, 7823, 6434, 236787, 2165, 19120, 236779, 97003, 236779, 22297, 71654, 116749, 236779, 236778, 236771, 236770, 236828, 236761, 10888, 236929, 107, 139, 236772, 7879, 236787, 623, 22297, 71654, 25929, 12096, 79993, 236775, 107, 139, 236772, 64663, 236787, 2165, 11205, 8347, 2165, 3626, 71654, 236779, 78944, 8347, 2165, 236778, 236771, 236770, 236828, 236929, 107, 139, 236772, 125685, 236787, 8438, 108, 236812, 236761, 5213, 180213, 4981, 66515, 113452, 82521, 21717, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 2121, 3361, 17507, 573, 1032, 5734, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 9918, 496, 6508, 573, 1041, 5431, 13919, 1308, 506, 2203, 20151, 236772, 1048, 12441, 236761, 8599, 3588, 531, 609, 236770, 236810, 236771, 236764, 3962, 1331, 2440, 786, 236761, 2900, 236789, 236751, 506, 810, 236772, 8269, 6508, 2886, 236881, 106, 107, 105, 4368, 107, 2021, 9279, 506, 810, 236772, 8269, 6508, 2886, 236764, 564, 236789, 859, 1202, 531, 1281, 506, 6508, 10256, 611, 236789, 236753, 1133, 531, 5510, 236761, 669, 4500, 2558, 563, 609, 236770, 236810, 236771, 573, 236743, 236825, 1331, 236764, 840, 506, 6508, 10256, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236810, 10014, 236743, 236770, 236828, 10014, 236743, 236778, 236771, 11376, 18116, 236789, 236745, 1010, 9155, 236761, 28344, 611, 5091, 2847, 506, 6508, 10256, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 9918, 496, 6508, 573, 1041, 5431, 13919, 1308, 506, 2203, 20151, 236772, 1048, 12441, 236761, 8599, 3588, 531, 609, 236770, 236810, 236771, 236764, 3962, 1331, 2440, 786, 236761, 2900, 236789, 236751, 506, 810, 236772, 8269, 6508, 2886, 236881, 106, 107, 105, 4368, 107, 2021, 9279, 506, 810, 236772, 8269, 6508, 2886, 236764, 564, 236789, 859, 1202, 531, 1281, 506, 6508, 10256, 611, 236789, 236753, 1133, 531, 5510, 236761, 669, 4500, 2558, 563, 609, 236770, 236810, 236771, 573, 236743, 236825, 1331, 236764, 840, 506, 6508, 10256, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236810, 10014, 236743, 236770, 236828, 10014, 236743, 236778, 236771, 11376, 18116, 236789, 236745, 1010, 9155, 236761, 28344, 611, 5091, 2847, 506, 6508, 10256, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9366, 2426, 506, 2269, 1816, 573, 49248, 9825, 236761, 564, 236789, 236757, 17373, 614, 19520, 5456, 573, 1041, 861, 3605, 13696, 684, 160724, 236789, 236751, 28239, 6540, 532, 506, 35470, 667, 51222, 236789, 236751, 88259, 39339, 236761, 5715, 236789, 236751, 506, 1816, 236787, 623, 902, 672, 5249, 236764, 564, 11327, 506, 91595, 529, 2258, 532, 1183, 1343, 506, 14970, 529, 1041, 33036, 236761, 669, 96105, 9766, 529, 160724, 532, 506, 61673, 27257, 529, 35470, 667, 51222, 735, 85739, 21202, 1239, 4146, 236761, 7714, 6347, 8991, 61269, 39390, 236764, 1623, 1133, 213554, 54934, 844, 236789, 236751, 16627, 41001, 532, 20587, 72558, 236789, 236751, 5255, 67966, 236761, 564, 24372, 611, 531, 108274, 5869, 528, 672, 9338, 1298, 6647, 20239, 1610, 236764, 532, 3068, 20239, 1861, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21850, 1083, 17811, 623, 19859, 236779, 121774, 1083, 623, 501, 236772, 3118, 827, 623, 137570, 1507, 236779, 103411, 1083, 236743, 236771, 236764, 623, 28263, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1816, 611, 3847, 815, 1010, 17480, 573, 49248, 9825, 236764, 532, 951, 38565, 964, 4354, 236761, 669, 5192, 13207, 691, 3668, 5422, 568, 501, 236772, 3118, 779, 532, 506, 3671, 691, 7723, 10428, 236761, 5180, 19520, 5456, 7412, 531, 577, 2196, 529, 49248, 23153, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 4658, 1663, 236764, 1288, 618, 40095, 56904, 653, 125011, 19205, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 506, 49248, 236761, 4224, 564, 236789, 236753, 1133, 1601, 68657, 506, 40095, 532, 3117, 529, 672, 5456, 236761, 1773, 5026, 1015, 1540, 1282, 1074, 506, 34435, 529, 11639, 18510, 532, 7628, 1610, 236764, 564, 1461, 506, 5192, 531, 7495, 1800, 60677, 532, 24597, 236761, 28344, 611, 18840, 506, 13315, 3904, 573, 29972, 532, 2727, 236764, 532, 3600, 919, 35094, 38038, 12871, 600, 4883, 13434, 17661, 1651, 228116, 506, 13690, 25828, 529, 160724, 236789, 236751, 223750, 532, 35470, 667, 51222, 236789, 236751, 117168, 236881, 9762, 2931, 5700, 531, 506, 25477, 1534, 506, 9226, 16441, 568, 199513, 844, 236786, 50613, 236746, 236768, 532, 506, 6647, 236772, 661, 18844, 657, 506, 1345, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 59638, 822, 5456, 531, 11825, 11639, 18510, 532, 25075, 223750, 1651, 36674, 2727, 532, 13690, 4100, 236761, 5715, 236789, 236751, 496, 187511, 3567, 607, 23880, 8687, 236787, 108, 1018, 109627, 29264, 53121, 107, 236775, 902, 672, 5249, 236764, 564, 17395, 506, 10795, 16625, 1534, 98151, 12732, 532, 16085, 60548, 1343, 506, 51234, 529, 34890, 982, 103653, 800, 174333, 236761, 669, 76692, 688, 9766, 529, 160724, 236764, 76044, 607, 72739, 85638, 236764, 532, 506, 35470, 667, 51222, 236789, 236751, 68046, 42433, 237028, 3350, 46327, 137065, 1343, 12440, 2534, 21743, 7146, 237028, 17777, 21735, 1239, 4146, 657, 506, 18074, 529, 31113, 60677, 532, 73887, 16823, 236761, 7714, 9637, 150412, 10726, 212231, 157167, 1343, 2702, 24530, 6667, 600, 7102, 213554, 54934, 844, 236789, 236751, 100804, 104164, 1651, 159689, 20587, 72558, 236789, 236751, 83691, 105338, 1788, 236761, 1174, 44852, 525, 1534, 13049, 532, 27652, 52416, 27458, 531, 21332, 496, 73226, 1298, 195645, 9108, 56490, 1131, 212464, 525, 59491, 236764, 532, 198469, 90353, 24976, 1131, 4882, 6571, 1781, 108, 1018, 3503, 95229, 53121, 107, 236770, 236761, 5213, 109642, 236786, 9175, 3316, 622, 10943, 53121, 107, 236772, 44629, 623, 1064, 51962, 103653, 800, 174333, 236775, 532, 623, 27621, 142077, 9108, 236775, 573, 13434, 54814, 107, 236772, 29164, 623, 37420, 2138, 12732, 236775, 532, 623, 5353, 24530, 6667, 236775, 531, 4883, 25075, 25828, 107, 236772, 623, 147458, 95371, 90353, 236775, 34679, 62454, 532, 9226, 129185, 108, 236778, 236761, 5213, 236847, 1993, 21617, 40170, 665, 53121, 107, 236772, 623, 236798, 128827, 688, 9766, 236775, 54238, 623, 196640, 2395, 236775, 531, 3600, 16783, 107, 236772, 623, 128318, 1831, 85638, 236775, 32407, 531, 708, 1124, 40249, 30747, 28968, 107, 236772, 623, 24718, 21743, 7146, 236775, 13586, 28831, 47766, 531, 35470, 667, 51222, 108, 236800, 236761, 5213, 111534, 64656, 161073, 53121, 107, 236772, 623, 19702, 24530, 6667, 600, 7102, 236775, 14004, 67456, 3205, 1534, 54934, 844, 532, 72558, 107, 236772, 623, 18332, 3396, 105338, 1788, 236775, 23948, 72558, 236789, 236751, 13049, 10154, 531, 11639, 4615, 107, 236772, 623, 98847, 120720, 1534, 13049, 532, 27652, 236775, 25010, 32407, 22888, 108, 236812, 236761, 5213, 82755, 933, 26228, 5932, 53121, 107, 236772, 623, 103130, 522, 2098, 623, 135932, 10462, 2098, 532, 623, 102642, 152229, 236775, 2619, 26070, 2778, 107, 236772, 623, 236791, 9784, 1194, 66418, 236775, 25832, 1343, 623, 37420, 2138, 12732, 236775, 107, 236772, 623, 58106, 6571, 236775, 131680, 25216, 129185, 528, 1800, 42433, 532, 6540, 108, 236810, 236761, 5213, 138895, 36468, 53121, 107, 236772, 10962, 524, 3861, 568, 236770, 236819, 4171, 16130, 236743, 236778, 236812, 4171, 16130, 236743, 236778, 236771, 4171, 236768, 14004, 81964, 2727, 107, 236772, 2358, 236804, 1525, 658, 1534, 623, 101404, 62507, 236775, 532, 623, 163914, 2565, 236775, 44066, 3756, 6585, 107, 236772, 119946, 23974, 2016, 28050, 16783, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 3530, 10217, 529, 672, 7002, 236881, 669, 1873, 3567, 32618, 13434, 44247, 1343, 18997, 36010, 1651, 36674, 43206, 231739, 236761, 564, 740, 37837, 2931, 4820, 3342, 10167, 580, 3363, 611, 1461, 15281, 11639, 20622, 653, 919, 73887, 60548, 236761, 106, 107, 105, 2364, 107, 11069, 76431, 29830, 88866, 506, 91595, 529, 60677, 532, 27652, 236761, 564, 236789, 236753, 1133, 531, 13878, 1156, 3530, 4820, 236787, 236743, 236770, 236761, 5213, 111534, 64656, 66515, 3199, 611, 96596, 506, 5603, 1534, 708, 1124, 40249, 28375, 28968, 532, 35470, 667, 51222, 236789, 236751, 62454, 48223, 236881, 20778, 1699, 3755, 1133, 623, 87111, 24235, 53684, 236775, 653, 623, 5865, 524, 126223, 236775, 531, 22223, 28375, 532, 7764, 25995, 143636, 236881, 236743, 236778, 236761, 5213, 146540, 42674, 522, 66515, 669, 3303, 12262, 6950, 623, 42098, 20239, 1861, 236775, 753, 1451, 692, 27968, 919, 14481, 146806, 236772, 94572, 5192, 236881, 1701, 5705, 236764, 1699, 3755, 1133, 623, 153783, 830, 3535, 6571, 236775, 653, 623, 1338, 7393, 236748, 236772, 9610, 508, 800, 25828, 236775, 531, 14806, 72739, 10154, 531, 16236, 28831, 3797, 236881, 564, 236789, 236757, 42351, 573, 496, 4857, 97166, 598, 1763, 528, 506, 5192, 753, 1298, 1546, 13315, 21577, 5065, 25216, 532, 62512, 78542, 236761, 3792, 786, 1281, 768, 1239, 15232, 8913, 607, 822, 10040, 653, 768, 611, 236789, 236753, 3600, 9302, 28050, 16614, 236761, 106, 107, 105, 4368, 107, 11069, 28050, 16614, 659, 21042, 753, 1239, 37724, 2619, 7121, 506, 53091, 25828, 611, 236789, 500, 42351, 573, 236761, 5715, 236789, 236751, 496, 33093, 3567, 40825, 822, 10340, 3755, 1651, 105561, 506, 62512, 19549, 236787, 108, 1018, 109627, 29264, 53121, 107, 236775, 902, 672, 5249, 236764, 564, 221458, 506, 98151, 532, 13718, 120148, 1534, 46276, 24235, 53684, 532, 126117, 67966, 236761, 160724, 236789, 236751, 72739, 57005, 18479, 25038, 506, 35470, 667, 51222, 236789, 236751, 126117, 1381, 3448, 236764, 1298, 80600, 1028, 69128, 514, 85638, 22453, 969, 1131, 62454, 6571, 236761, 7714, 9637, 59990, 699, 39883, 236748, 236772, 9610, 508, 800, 15959, 1358, 753, 506, 1638, 108355, 566, 2139, 600, 3622, 16128, 1491, 44391, 1050, 26112, 1492, 15769, 195645, 23353, 236764, 1651, 35470, 667, 51222, 236789, 236751, 56701, 69468, 9263, 506, 8975, 236772, 5865, 524, 9935, 529, 877, 236772, 1980, 3464, 1037, 15810, 760, 2538, 236761, 669, 4146, 18254, 10726, 212231, 78542, 1343, 2702, 24530, 53179, 236751, 600, 7102, 213554, 54934, 844, 236789, 236751, 113483, 78542, 1651, 15468, 20587, 72558, 236789, 236751, 146806, 236772, 787, 3535, 67966, 236761, 1174, 19520, 99688, 618, 496, 146806, 236772, 94572, 4857, 97166, 598, 236787, 17813, 1662, 85638, 699, 12440, 30747, 65443, 190657, 607, 15253, 54771, 236764, 195751, 706, 90353, 33647, 607, 83691, 19764, 236764, 532, 218736, 3535, 6571, 93326, 1131, 4882, 2258, 6192, 1781, 108, 1018, 3503, 143877, 53121, 107, 236770, 236761, 5213, 2067, 755, 236772, 8551, 1865, 64656, 53121, 107, 236772, 623, 236824, 11989, 24235, 53684, 236775, 532, 623, 5865, 524, 126223, 236775, 1492, 25010, 3371, 86191, 8403, 531, 126117, 6585, 107, 236772, 623, 37637, 19244, 69468, 9263, 8975, 236772, 5865, 524, 9935, 236775, 14004, 1982, 10781, 46836, 1534, 62454, 48223, 532, 28375, 9935, 107, 236772, 623, 236780, 5530, 688, 514, 85638, 22453, 969, 1131, 62454, 6571, 236775, 130450, 15898, 30747, 3738, 607, 17813, 8304, 108, 236778, 236761, 5213, 146540, 42674, 522, 53121, 107, 236772, 623, 2023, 4936, 50105, 236772, 9610, 508, 800, 15959, 1358, 236775, 18838, 3732, 4654, 618, 1800, 12440, 1816, 532, 11639, 3423, 107, 236772, 623, 1659, 92538, 236772, 787, 3535, 67966, 236775, 54238, 623, 61754, 67966, 236775, 531, 25010, 3205, 72558, 236789, 236751, 981, 607, 25216, 78542, 107, 236772, 623, 163406, 830, 3535, 6571, 236775, 532, 623, 3307, 4139, 706, 90353, 236775, 2619, 15898, 236772, 787, 3535, 990, 21777, 108, 236800, 236761, 5213, 16170, 97166, 598, 13324, 53121, 107, 236772, 623, 186871, 1662, 85638, 699, 12440, 30747, 65443, 190657, 607, 15253, 54771, 236775, 3831, 2561, 144801, 107, 236772, 623, 134166, 7308, 78542, 236775, 532, 623, 83926, 236772, 94572, 4857, 97166, 598, 236775, 1386, 506, 53091, 3495, 14481, 107, 236772, 623, 58106, 2258, 6192, 236775, 79339, 607, 62454, 990, 21777, 573, 10795, 16625, 108, 236812, 236761, 5213, 112694, 32462, 64656, 53121, 107, 236772, 40170, 16441, 531, 623, 236953, 44391, 1050, 26112, 2098, 623, 9360, 760, 2538, 2098, 532, 623, 1734, 236772, 1980, 3464, 1037, 236775, 8403, 3866, 506, 9226, 4403, 107, 236772, 623, 19702, 24530, 53179, 236751, 236775, 14004, 30180, 1534, 30737, 165499, 1865, 532, 15898, 6667, 107, 236772, 623, 47296, 1042, 54771, 236775, 7728, 236761, 623, 1338, 3396, 19764, 236775, 79339, 4532, 532, 6672, 4009, 528, 2561, 3755, 108, 1018, 138895, 36468, 35593, 1230, 53121, 107, 236772, 44629, 677, 3754, 12817, 528, 623, 56048, 25038, 506, 35470, 667, 51222, 236789, 236751, 126117, 1381, 3448, 236775, 531, 14701, 9226, 236786, 787, 3535, 129185, 107, 236772, 29164, 919, 12625, 84364, 236787, 623, 211323, 969, 2098, 623, 1364, 3051, 588, 2098, 623, 184539, 236775, 531, 4883, 26070, 2778, 107, 236772, 20236, 25216, 56938, 507, 1343, 623, 54301, 2258, 6192, 236775, 7728, 236761, 623, 153783, 830, 3535, 6571, 236775, 108, 2094, 3567, 14004, 14481, 146806, 236772, 94572, 16614, 1651, 16977, 506, 11639, 236772, 661, 3316, 78006, 236761, 669, 4857, 97166, 598, 1763, 99688, 1343, 236787, 107, 236770, 236761, 12683, 129185, 568, 137534, 85638, 236786, 30466, 39171, 236768, 107, 236778, 236761, 133309, 77739, 568, 1338, 7393, 236748, 236772, 9610, 508, 800, 236786, 13002, 236772, 1496, 6585, 236768, 107, 236800, 236761, 105113, 24235, 53684, 568, 1005, 755, 9935, 236786, 787, 3535, 48223, 236768, 108, 38786, 611, 1133, 531, 11327, 21494, 1027, 2931, 50232, 3342, 236764, 653, 1374, 692, 59638, 506, 7002, 1534, 47766, 532, 36453, 236881, 669, 1873, 27497, 32618, 13434, 60677, 1651, 36674, 506, 5074, 236772, 96788, 236764, 5074, 236772, 49371, 25828, 611, 15633, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9366, 2426, 506, 2269, 1816, 573, 49248, 9825, 236761, 564, 236789, 236757, 17373, 614, 19520, 5456, 573, 1041, 861, 3605, 13696, 684, 160724, 236789, 236751, 28239, 6540, 532, 506, 35470, 667, 51222, 236789, 236751, 88259, 39339, 236761, 5715, 236789, 236751, 506, 1816, 236787, 623, 902, 672, 5249, 236764, 564, 11327, 506, 91595, 529, 2258, 532, 1183, 1343, 506, 14970, 529, 1041, 33036, 236761, 669, 96105, 9766, 529, 160724, 532, 506, 61673, 27257, 529, 35470, 667, 51222, 735, 85739, 21202, 1239, 4146, 236761, 7714, 6347, 8991, 61269, 39390, 236764, 1623, 1133, 213554, 54934, 844, 236789, 236751, 16627, 41001, 532, 20587, 72558, 236789, 236751, 5255, 67966, 236761, 564, 24372, 611, 531, 108274, 5869, 528, 672, 9338, 1298, 6647, 20239, 1610, 236764, 532, 3068, 20239, 1861, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21850, 1083, 17811, 623, 19859, 236779, 121774, 1083, 623, 501, 236772, 3118, 827, 623, 137570, 1507, 236779, 103411, 1083, 236743, 236771, 236764, 623, 28263, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 1816, 611, 3847, 815, 1010, 17480, 573, 49248, 9825, 236764, 532, 951, 38565, 964, 4354, 236761, 669, 5192, 13207, 691, 3668, 5422, 568, 501, 236772, 3118, 779, 532, 506, 3671, 691, 7723, 10428, 236761, 5180, 19520, 5456, 7412, 531, 577, 2196, 529, 49248, 23153, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 4658, 1663, 236764, 1288, 618, 40095, 56904, 653, 125011, 19205, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 506, 49248, 236761, 4224, 564, 236789, 236753, 1133, 1601, 68657, 506, 40095, 532, 3117, 529, 672, 5456, 236761, 1773, 5026, 1015, 1540, 1282, 1074, 506, 34435, 529, 11639, 18510, 532, 7628, 1610, 236764, 564, 1461, 506, 5192, 531, 7495, 1800, 60677, 532, 24597, 236761, 28344, 611, 18840, 506, 13315, 3904, 573, 29972, 532, 2727, 236764, 532, 3600, 919, 35094, 38038, 12871, 600, 4883, 13434, 17661, 1651, 228116, 506, 13690, 25828, 529, 160724, 236789, 236751, 223750, 532, 35470, 667, 51222, 236789, 236751, 117168, 236881, 9762, 2931, 5700, 531, 506, 25477, 1534, 506, 9226, 16441, 568, 199513, 844, 236786, 50613, 236746, 236768, 532, 506, 6647, 236772, 661, 18844, 657, 506, 1345, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 59638, 822, 5456, 531, 11825, 11639, 18510, 532, 25075, 223750, 1651, 36674, 2727, 532, 13690, 4100, 236761, 5715, 236789, 236751, 496, 187511, 3567, 607, 23880, 8687, 236787, 108, 1018, 109627, 29264, 53121, 107, 236775, 902, 672, 5249, 236764, 564, 17395, 506, 10795, 16625, 1534, 98151, 12732, 532, 16085, 60548, 1343, 506, 51234, 529, 34890, 982, 103653, 800, 174333, 236761, 669, 76692, 688, 9766, 529, 160724, 236764, 76044, 607, 72739, 85638, 236764, 532, 506, 35470, 667, 51222, 236789, 236751, 68046, 42433, 237028, 3350, 46327, 137065, 1343, 12440, 2534, 21743, 7146, 237028, 17777, 21735, 1239, 4146, 657, 506, 18074, 529, 31113, 60677, 532, 73887, 16823, 236761, 7714, 9637, 150412, 10726, 212231, 157167, 1343, 2702, 24530, 6667, 600, 7102, 213554, 54934, 844, 236789, 236751, 100804, 104164, 1651, 159689, 20587, 72558, 236789, 236751, 83691, 105338, 1788, 236761, 1174, 44852, 525, 1534, 13049, 532, 27652, 52416, 27458, 531, 21332, 496, 73226, 1298, 195645, 9108, 56490, 1131, 212464, 525, 59491, 236764, 532, 198469, 90353, 24976, 1131, 4882, 6571, 1781, 108, 1018, 3503, 95229, 53121, 107, 236770, 236761, 5213, 109642, 236786, 9175, 3316, 622, 10943, 53121, 107, 236772, 44629, 623, 1064, 51962, 103653, 800, 174333, 236775, 532, 623, 27621, 142077, 9108, 236775, 573, 13434, 54814, 107, 236772, 29164, 623, 37420, 2138, 12732, 236775, 532, 623, 5353, 24530, 6667, 236775, 531, 4883, 25075, 25828, 107, 236772, 623, 147458, 95371, 90353, 236775, 34679, 62454, 532, 9226, 129185, 108, 236778, 236761, 5213, 236847, 1993, 21617, 40170, 665, 53121, 107, 236772, 623, 236798, 128827, 688, 9766, 236775, 54238, 623, 196640, 2395, 236775, 531, 3600, 16783, 107, 236772, 623, 128318, 1831, 85638, 236775, 32407, 531, 708, 1124, 40249, 30747, 28968, 107, 236772, 623, 24718, 21743, 7146, 236775, 13586, 28831, 47766, 531, 35470, 667, 51222, 108, 236800, 236761, 5213, 111534, 64656, 161073, 53121, 107, 236772, 623, 19702, 24530, 6667, 600, 7102, 236775, 14004, 67456, 3205, 1534, 54934, 844, 532, 72558, 107, 236772, 623, 18332, 3396, 105338, 1788, 236775, 23948, 72558, 236789, 236751, 13049, 10154, 531, 11639, 4615, 107, 236772, 623, 98847, 120720, 1534, 13049, 532, 27652, 236775, 25010, 32407, 22888, 108, 236812, 236761, 5213, 82755, 933, 26228, 5932, 53121, 107, 236772, 623, 103130, 522, 2098, 623, 135932, 10462, 2098, 532, 623, 102642, 152229, 236775, 2619, 26070, 2778, 107, 236772, 623, 236791, 9784, 1194, 66418, 236775, 25832, 1343, 623, 37420, 2138, 12732, 236775, 107, 236772, 623, 58106, 6571, 236775, 131680, 25216, 129185, 528, 1800, 42433, 532, 6540, 108, 236810, 236761, 5213, 138895, 36468, 53121, 107, 236772, 10962, 524, 3861, 568, 236770, 236819, 4171, 16130, 236743, 236778, 236812, 4171, 16130, 236743, 236778, 236771, 4171, 236768, 14004, 81964, 2727, 107, 236772, 2358, 236804, 1525, 658, 1534, 623, 101404, 62507, 236775, 532, 623, 163914, 2565, 236775, 44066, 3756, 6585, 107, 236772, 119946, 23974, 2016, 28050, 16783, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 3530, 10217, 529, 672, 7002, 236881, 669, 1873, 3567, 32618, 13434, 44247, 1343, 18997, 36010, 1651, 36674, 43206, 231739, 236761, 564, 740, 37837, 2931, 4820, 3342, 10167, 580, 3363, 611, 1461, 15281, 11639, 20622, 653, 919, 73887, 60548, 236761, 106, 107, 105, 2364, 107, 11069, 76431, 29830, 88866, 506, 91595, 529, 60677, 532, 27652, 236761, 564, 236789, 236753, 1133, 531, 13878, 1156, 3530, 4820, 236787, 236743, 236770, 236761, 5213, 111534, 64656, 66515, 3199, 611, 96596, 506, 5603, 1534, 708, 1124, 40249, 28375, 28968, 532, 35470, 667, 51222, 236789, 236751, 62454, 48223, 236881, 20778, 1699, 3755, 1133, 623, 87111, 24235, 53684, 236775, 653, 623, 5865, 524, 126223, 236775, 531, 22223, 28375, 532, 7764, 25995, 143636, 236881, 236743, 236778, 236761, 5213, 146540, 42674, 522, 66515, 669, 3303, 12262, 6950, 623, 42098, 20239, 1861, 236775, 753, 1451, 692, 27968, 919, 14481, 146806, 236772, 94572, 5192, 236881, 1701, 5705, 236764, 1699, 3755, 1133, 623, 153783, 830, 3535, 6571, 236775, 653, 623, 1338, 7393, 236748, 236772, 9610, 508, 800, 25828, 236775, 531, 14806, 72739, 10154, 531, 16236, 28831, 3797, 236881, 564, 236789, 236757, 42351, 573, 496, 4857, 97166, 598, 1763, 528, 506, 5192, 753, 1298, 1546, 13315, 21577, 5065, 25216, 532, 62512, 78542, 236761, 3792, 786, 1281, 768, 1239, 15232, 8913, 607, 822, 10040, 653, 768, 611, 236789, 236753, 3600, 9302, 28050, 16614, 236761, 106, 107, 105, 4368, 107, 11069, 28050, 16614, 659, 21042, 753, 1239, 37724, 2619, 7121, 506, 53091, 25828, 611, 236789, 500, 42351, 573, 236761, 5715, 236789, 236751, 496, 33093, 3567, 40825, 822, 10340, 3755, 1651, 105561, 506, 62512, 19549, 236787, 108, 1018, 109627, 29264, 53121, 107, 236775, 902, 672, 5249, 236764, 564, 221458, 506, 98151, 532, 13718, 120148, 1534, 46276, 24235, 53684, 532, 126117, 67966, 236761, 160724, 236789, 236751, 72739, 57005, 18479, 25038, 506, 35470, 667, 51222, 236789, 236751, 126117, 1381, 3448, 236764, 1298, 80600, 1028, 69128, 514, 85638, 22453, 969, 1131, 62454, 6571, 236761, 7714, 9637, 59990, 699, 39883, 236748, 236772, 9610, 508, 800, 15959, 1358, 753, 506, 1638, 108355, 566, 2139, 600, 3622, 16128, 1491, 44391, 1050, 26112, 1492, 15769, 195645, 23353, 236764, 1651, 35470, 667, 51222, 236789, 236751, 56701, 69468, 9263, 506, 8975, 236772, 5865, 524, 9935, 529, 877, 236772, 1980, 3464, 1037, 15810, 760, 2538, 236761, 669, 4146, 18254, 10726, 212231, 78542, 1343, 2702, 24530, 53179, 236751, 600, 7102, 213554, 54934, 844, 236789, 236751, 113483, 78542, 1651, 15468, 20587, 72558, 236789, 236751, 146806, 236772, 787, 3535, 67966, 236761, 1174, 19520, 99688, 618, 496, 146806, 236772, 94572, 4857, 97166, 598, 236787, 17813, 1662, 85638, 699, 12440, 30747, 65443, 190657, 607, 15253, 54771, 236764, 195751, 706, 90353, 33647, 607, 83691, 19764, 236764, 532, 218736, 3535, 6571, 93326, 1131, 4882, 2258, 6192, 1781, 108, 1018, 3503, 143877, 53121, 107, 236770, 236761, 5213, 2067, 755, 236772, 8551, 1865, 64656, 53121, 107, 236772, 623, 236824, 11989, 24235, 53684, 236775, 532, 623, 5865, 524, 126223, 236775, 1492, 25010, 3371, 86191, 8403, 531, 126117, 6585, 107, 236772, 623, 37637, 19244, 69468, 9263, 8975, 236772, 5865, 524, 9935, 236775, 14004, 1982, 10781, 46836, 1534, 62454, 48223, 532, 28375, 9935, 107, 236772, 623, 236780, 5530, 688, 514, 85638, 22453, 969, 1131, 62454, 6571, 236775, 130450, 15898, 30747, 3738, 607, 17813, 8304, 108, 236778, 236761, 5213, 146540, 42674, 522, 53121, 107, 236772, 623, 2023, 4936, 50105, 236772, 9610, 508, 800, 15959, 1358, 236775, 18838, 3732, 4654, 618, 1800, 12440, 1816, 532, 11639, 3423, 107, 236772, 623, 1659, 92538, 236772, 787, 3535, 67966, 236775, 54238, 623, 61754, 67966, 236775, 531, 25010, 3205, 72558, 236789, 236751, 981, 607, 25216, 78542, 107, 236772, 623, 163406, 830, 3535, 6571, 236775, 532, 623, 3307, 4139, 706, 90353, 236775, 2619, 15898, 236772, 787, 3535, 990, 21777, 108, 236800, 236761, 5213, 16170, 97166, 598, 13324, 53121, 107, 236772, 623, 186871, 1662, 85638, 699, 12440, 30747, 65443, 190657, 607, 15253, 54771, 236775, 3831, 2561, 144801, 107, 236772, 623, 134166, 7308, 78542, 236775, 532, 623, 83926, 236772, 94572, 4857, 97166, 598, 236775, 1386, 506, 53091, 3495, 14481, 107, 236772, 623, 58106, 2258, 6192, 236775, 79339, 607, 62454, 990, 21777, 573, 10795, 16625, 108, 236812, 236761, 5213, 112694, 32462, 64656, 53121, 107, 236772, 40170, 16441, 531, 623, 236953, 44391, 1050, 26112, 2098, 623, 9360, 760, 2538, 2098, 532, 623, 1734, 236772, 1980, 3464, 1037, 236775, 8403, 3866, 506, 9226, 4403, 107, 236772, 623, 19702, 24530, 53179, 236751, 236775, 14004, 30180, 1534, 30737, 165499, 1865, 532, 15898, 6667, 107, 236772, 623, 47296, 1042, 54771, 236775, 7728, 236761, 623, 1338, 3396, 19764, 236775, 79339, 4532, 532, 6672, 4009, 528, 2561, 3755, 108, 1018, 138895, 36468, 35593, 1230, 53121, 107, 236772, 44629, 677, 3754, 12817, 528, 623, 56048, 25038, 506, 35470, 667, 51222, 236789, 236751, 126117, 1381, 3448, 236775, 531, 14701, 9226, 236786, 787, 3535, 129185, 107, 236772, 29164, 919, 12625, 84364, 236787, 623, 211323, 969, 2098, 623, 1364, 3051, 588, 2098, 623, 184539, 236775, 531, 4883, 26070, 2778, 107, 236772, 20236, 25216, 56938, 507, 1343, 623, 54301, 2258, 6192, 236775, 7728, 236761, 623, 153783, 830, 3535, 6571, 236775, 108, 2094, 3567, 14004, 14481, 146806, 236772, 94572, 16614, 1651, 16977, 506, 11639, 236772, 661, 3316, 78006, 236761, 669, 4857, 97166, 598, 1763, 99688, 1343, 236787, 107, 236770, 236761, 12683, 129185, 568, 137534, 85638, 236786, 30466, 39171, 236768, 107, 236778, 236761, 133309, 77739, 568, 1338, 7393, 236748, 236772, 9610, 508, 800, 236786, 13002, 236772, 1496, 6585, 236768, 107, 236800, 236761, 105113, 24235, 53684, 568, 1005, 755, 9935, 236786, 787, 3535, 48223, 236768, 108, 38786, 611, 1133, 531, 11327, 21494, 1027, 2931, 50232, 3342, 236764, 653, 1374, 692, 59638, 506, 7002, 1534, 47766, 532, 36453, 236881, 669, 1873, 27497, 32618, 13434, 60677, 1651, 36674, 506, 5074, 236772, 96788, 236764, 5074, 236772, 49371, 25828, 611, 15633, 236761, 106, 107 ]