Datasets:
Codyfederer
/
synthia-tool-calling-tokenized

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
41
4.1k
attention_mask
listlengths
41
4.1k
labels
listlengths
41
4.1k
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 496, 3399, 2197, 91624, 532, 6387, 3446, 672, 3798, 236761, 5315, 236764, 2426, 1144, 20720, 659, 4891, 872, 528, 506, 2590, 672, 1051, 1699, 506, 20720, 5904, 236761, 1701, 1546, 10940, 3433, 236764, 974, 506, 7606, 14415, 573, 9975, 35900, 236764, 27608, 65911, 3393, 236743, 236832, 236825, 236770, 236771, 236778, 531, 10741, 768, 692, 740, 735, 625, 19850, 236761, 1637, 506, 7606, 5724, 4287, 236764, 3600, 614, 21469, 21609, 2731, 236761, 6542, 236764, 1586, 786, 496, 9760, 10063, 6387, 1133, 808, 818, 7886, 236764, 506, 13741, 532, 506, 175625, 236829, 531, 1407, 657, 506, 2460, 1699, 506, 2948, 3927, 5904, 236761, 3792, 786, 1281, 1144, 611, 1586, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236812, 827, 623, 2084, 1083, 623, 147304, 236779, 100328, 25938, 107, 14937, 1201, 1083, 623, 205192, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 2084, 1083, 623, 147304, 236779, 100328, 25938, 107, 14937, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236770, 827, 623, 2084, 1083, 623, 147304, 236779, 100328, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 623, 236832, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 827, 623, 77269, 1083, 623, 236825, 236771, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 827, 623, 44340, 1083, 623, 236771, 70887, 623, 19216, 1083, 623, 22631, 55748, 827, 623, 147376, 1083, 623, 26588, 3439, 659, 27661, 573, 614, 11690, 2460, 236761, 14066, 2963, 506, 2197, 91624, 532, 6387, 3446, 19850, 580, 672, 3433, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 7886, 236764, 506, 13741, 532, 506, 175625, 827, 623, 19001, 1083, 623, 236770, 236832, 236828, 4310, 827, 623, 2451, 1083, 623, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236770, 236778, 236800, 236812, 236810, 827, 623, 8318, 1083, 236743, 236819, 236761, 236828, 236764, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236825, 236764, 623, 2084, 1083, 623, 21000, 23179, 3714, 3250, 1083, 623, 13238, 158832, 827, 623, 19001, 1083, 623, 236828, 236810, 4310, 827, 623, 2451, 1083, 623, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236825, 236832, 236828, 236819, 236771, 827, 623, 8318, 1083, 236743, 236819, 236761, 236778, 236764, 623, 3704, 1083, 236743, 236770, 236819, 236810, 236778, 236764, 623, 2084, 1083, 623, 21000, 23179, 3714, 3250, 1083, 623, 141173, 827, 623, 19001, 1083, 623, 236770, 236770, 236828, 4310, 827, 623, 2451, 1083, 623, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236810, 236812, 236800, 236778, 236770, 827, 623, 8318, 1083, 236743, 236819, 236761, 236771, 236764, 623, 3704, 1083, 236743, 236770, 236819, 236810, 236800, 236764, 623, 2084, 1083, 623, 21000, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 19001, 1083, 623, 5843, 827, 623, 10494, 236779, 2084, 1083, 623, 10540, 127096, 106, 107, 105, 4368, 107, 1018, 5471, 236772, 2003, 236772, 5471, 9620, 573, 11493, 12410, 91624, 833, 24580, 15895, 1018, 108, 10354, 236743, 236770, 236761, 5213, 170886, 2590, 84085, 1174, 16175, 1018, 138, 107, 236777, 15593, 7933, 20720, 573, 236743, 236778, 236771, 236778, 236800, 236787, 138, 107, 236772, 5213, 63651, 6156, 66515, 5857, 236743, 236812, 138, 107, 236772, 5213, 205192, 6156, 66515, 6198, 236743, 236819, 138, 107, 236772, 5213, 103591, 743, 6156, 66515, 6243, 236743, 236770, 236770, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 26588, 74544, 573, 9975, 35900, 236764, 27608, 568, 236832, 236825, 236770, 236771, 236778, 62902, 138, 107, 2542, 5213, 63651, 6156, 568, 36022, 236743, 236812, 62902, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236832, 236778, 237366, 236811, 138, 107, 236772, 5213, 70092, 66515, 25179, 55748, 236764, 236743, 236825, 236771, 236908, 31992, 236764, 236743, 236770, 236771, 44269, 6573, 236764, 236743, 236771, 236908, 31632, 138, 107, 236772, 5213, 203949, 66515, 5213, 112543, 2460, 28591, 1018, 236888, 28789, 563, 7436, 236761, 138, 108, 2542, 1032, 20720, 568, 36817, 236743, 236819, 532, 6243, 236743, 236770, 236770, 779, 564, 740, 2426, 506, 7606, 21112, 768, 4354, 236761, 3792, 786, 1281, 236888, 138, 108, 7243, 108, 10354, 236743, 236800, 236761, 5213, 83738, 10063, 24580, 140604, 1018, 138, 107, 17123, 506, 2948, 3927, 5904, 236764, 564, 1765, 1239, 3835, 236787, 138, 107, 236770, 236761, 5213, 236840, 818, 7886, 236764, 506, 13741, 532, 506, 175625, 568, 236770, 236819, 236825, 236825, 65311, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236770, 236778, 236800, 236812, 236810, 62902, 138, 107, 139, 236772, 49483, 236787, 236743, 236770, 236832, 236828, 4310, 568, 7577, 236743, 236819, 236761, 236828, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 26079, 5313, 573, 496, 9760, 10063, 44249, 236888, 138, 108, 236778, 236761, 5213, 236840, 13238, 158832, 568, 236770, 236819, 236810, 236778, 65311, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236825, 236832, 236828, 236819, 236771, 62902, 138, 107, 139, 236772, 49483, 236787, 236743, 236828, 236810, 4310, 568, 7577, 236743, 236819, 236761, 236778, 236786, 236770, 236771, 236768, 138, 108, 236800, 236761, 5213, 236840, 141173, 568, 236770, 236819, 236810, 236800, 65311, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236810, 236812, 236800, 236778, 236770, 62902, 138, 107, 139, 236772, 49483, 236787, 236743, 236770, 236770, 236828, 4310, 568, 7577, 236743, 236819, 236761, 236771, 236786, 236770, 236771, 236768, 138, 108, 3243, 3835, 659, 2487, 580, 8805, 1072, 46494, 236761, 138, 108, 7243, 108, 10354, 12067, 50228, 138, 107, 236772, 64063, 822, 12373, 3433, 568, 63651, 6156, 5724, 7436, 236768, 532, 6387, 5313, 236761, 138, 107, 236772, 1637, 611, 236858, 236753, 1133, 7606, 17507, 573, 6198, 236743, 236819, 653, 6243, 236743, 236770, 236770, 236764, 1531, 786, 1281, 236888, 138, 107, 236772, 1701, 21469, 93744, 236764, 1966, 2263, 3399, 16545, 653, 24682, 607, 7438, 230426, 236761, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 236743, 245357, 245746, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3399, 2197, 91624, 532, 6387, 3446, 672, 3798, 236761, 5315, 236764, 2426, 1144, 20720, 659, 4891, 872, 528, 506, 2590, 672, 1051, 1699, 506, 20720, 5904, 236761, 1701, 1546, 10940, 3433, 236764, 974, 506, 7606, 14415, 573, 9975, 35900, 236764, 27608, 65911, 3393, 236743, 236832, 236825, 236770, 236771, 236778, 531, 10741, 768, 692, 740, 735, 625, 19850, 236761, 1637, 506, 7606, 5724, 4287, 236764, 3600, 614, 21469, 21609, 2731, 236761, 6542, 236764, 1586, 786, 496, 9760, 10063, 6387, 1133, 808, 818, 7886, 236764, 506, 13741, 532, 506, 175625, 236829, 531, 1407, 657, 506, 2460, 1699, 506, 2948, 3927, 5904, 236761, 3792, 786, 1281, 1144, 611, 1586, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236812, 827, 623, 2084, 1083, 623, 147304, 236779, 100328, 25938, 107, 14937, 1201, 1083, 623, 205192, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 2084, 1083, 623, 147304, 236779, 100328, 25938, 107, 14937, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236770, 827, 623, 2084, 1083, 623, 147304, 236779, 100328, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 623, 236832, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 827, 623, 77269, 1083, 623, 236825, 236771, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 827, 623, 44340, 1083, 623, 236771, 70887, 623, 19216, 1083, 623, 22631, 55748, 827, 623, 147376, 1083, 623, 26588, 3439, 659, 27661, 573, 614, 11690, 2460, 236761, 14066, 2963, 506, 2197, 91624, 532, 6387, 3446, 19850, 580, 672, 3433, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 7886, 236764, 506, 13741, 532, 506, 175625, 827, 623, 19001, 1083, 623, 236770, 236832, 236828, 4310, 827, 623, 2451, 1083, 623, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236770, 236778, 236800, 236812, 236810, 827, 623, 8318, 1083, 236743, 236819, 236761, 236828, 236764, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236825, 236764, 623, 2084, 1083, 623, 21000, 23179, 3714, 3250, 1083, 623, 13238, 158832, 827, 623, 19001, 1083, 623, 236828, 236810, 4310, 827, 623, 2451, 1083, 623, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236825, 236832, 236828, 236819, 236771, 827, 623, 8318, 1083, 236743, 236819, 236761, 236778, 236764, 623, 3704, 1083, 236743, 236770, 236819, 236810, 236778, 236764, 623, 2084, 1083, 623, 21000, 23179, 3714, 3250, 1083, 623, 141173, 827, 623, 19001, 1083, 623, 236770, 236770, 236828, 4310, 827, 623, 2451, 1083, 623, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236810, 236812, 236800, 236778, 236770, 827, 623, 8318, 1083, 236743, 236819, 236761, 236771, 236764, 623, 3704, 1083, 236743, 236770, 236819, 236810, 236800, 236764, 623, 2084, 1083, 623, 21000, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 19001, 1083, 623, 5843, 827, 623, 10494, 236779, 2084, 1083, 623, 10540, 127096, 106, 107, 105, 4368, 107, 1018, 5471, 236772, 2003, 236772, 5471, 9620, 573, 11493, 12410, 91624, 833, 24580, 15895, 1018, 108, 10354, 236743, 236770, 236761, 5213, 170886, 2590, 84085, 1174, 16175, 1018, 138, 107, 236777, 15593, 7933, 20720, 573, 236743, 236778, 236771, 236778, 236800, 236787, 138, 107, 236772, 5213, 63651, 6156, 66515, 5857, 236743, 236812, 138, 107, 236772, 5213, 205192, 6156, 66515, 6198, 236743, 236819, 138, 107, 236772, 5213, 103591, 743, 6156, 66515, 6243, 236743, 236770, 236770, 138, 108, 7243, 108, 10354, 236743, 236778, 236761, 5213, 26588, 74544, 573, 9975, 35900, 236764, 27608, 568, 236832, 236825, 236770, 236771, 236778, 62902, 138, 107, 2542, 5213, 63651, 6156, 568, 36022, 236743, 236812, 62902, 236787, 138, 107, 236772, 5213, 51994, 66515, 236743, 236832, 236778, 237366, 236811, 138, 107, 236772, 5213, 70092, 66515, 25179, 55748, 236764, 236743, 236825, 236771, 236908, 31992, 236764, 236743, 236770, 236771, 44269, 6573, 236764, 236743, 236771, 236908, 31632, 138, 107, 236772, 5213, 203949, 66515, 5213, 112543, 2460, 28591, 1018, 236888, 28789, 563, 7436, 236761, 138, 108, 2542, 1032, 20720, 568, 36817, 236743, 236819, 532, 6243, 236743, 236770, 236770, 779, 564, 740, 2426, 506, 7606, 21112, 768, 4354, 236761, 3792, 786, 1281, 236888, 138, 108, 7243, 108, 10354, 236743, 236800, 236761, 5213, 83738, 10063, 24580, 140604, 1018, 138, 107, 17123, 506, 2948, 3927, 5904, 236764, 564, 1765, 1239, 3835, 236787, 138, 107, 236770, 236761, 5213, 236840, 818, 7886, 236764, 506, 13741, 532, 506, 175625, 568, 236770, 236819, 236825, 236825, 65311, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236770, 236778, 236800, 236812, 236810, 62902, 138, 107, 139, 236772, 49483, 236787, 236743, 236770, 236832, 236828, 4310, 568, 7577, 236743, 236819, 236761, 236828, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 26079, 5313, 573, 496, 9760, 10063, 44249, 236888, 138, 108, 236778, 236761, 5213, 236840, 13238, 158832, 568, 236770, 236819, 236810, 236778, 65311, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236825, 236832, 236828, 236819, 236771, 62902, 138, 107, 139, 236772, 49483, 236787, 236743, 236828, 236810, 4310, 568, 7577, 236743, 236819, 236761, 236778, 236786, 236770, 236771, 236768, 138, 108, 236800, 236761, 5213, 236840, 141173, 568, 236770, 236819, 236810, 236800, 65311, 2574, 1411, 7043, 1072, 17614, 236761, 854, 236786, 11636, 236786, 236810, 236812, 236800, 236778, 236770, 62902, 138, 107, 139, 236772, 49483, 236787, 236743, 236770, 236770, 236828, 4310, 568, 7577, 236743, 236819, 236761, 236771, 236786, 236770, 236771, 236768, 138, 108, 3243, 3835, 659, 2487, 580, 8805, 1072, 46494, 236761, 138, 108, 7243, 108, 10354, 12067, 50228, 138, 107, 236772, 64063, 822, 12373, 3433, 568, 63651, 6156, 5724, 7436, 236768, 532, 6387, 5313, 236761, 138, 107, 236772, 1637, 611, 236858, 236753, 1133, 7606, 17507, 573, 6198, 236743, 236819, 653, 6243, 236743, 236770, 236770, 236764, 1531, 786, 1281, 236888, 138, 107, 236772, 1701, 21469, 93744, 236764, 1966, 2263, 3399, 16545, 653, 24682, 607, 7438, 230426, 236761, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 236743, 245357, 245746, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 236743, 236810, 236771, 236771, 13924, 11092, 531, 749, 236761, 236773, 236761, 11092, 531, 10769, 28172, 4469, 6527, 573, 1041, 7997, 40344, 7946, 607, 1041, 8709, 236761, 669, 13924, 2544, 236789, 236751, 4456, 15852, 6224, 528, 42066, 236764, 840, 564, 1461, 531, 1460, 506, 4453, 23058, 9363, 531, 7715, 9668, 236761, 28344, 611, 2426, 506, 1873, 8770, 3136, 532, 2583, 786, 1800, 506, 16952, 2886, 532, 506, 3136, 4850, 236881, 564, 236789, 859, 1202, 672, 573, 1806, 1607, 4469, 17489, 3209, 236764, 840, 1531, 236789, 236751, 1502, 607, 672, 886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236800, 236832, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 236810, 236771, 236771, 13924, 11092, 568, 51360, 236768, 563, 5633, 9363, 531, 5213, 236795, 236800, 236832, 236810, 236761, 236771, 236771, 749, 236761, 236773, 236761, 11092, 568, 38556, 62902, 2721, 580, 506, 8770, 3136, 529, 5213, 236771, 236761, 236832, 236810, 1018, 568, 236770, 42066, 578, 236743, 236771, 236761, 236832, 236810, 23058, 769, 236743, 108, 2094, 3136, 795, 1601, 611, 10769, 4469, 17489, 31979, 528, 42066, 236761, 3792, 786, 1281, 1056, 611, 236789, 500, 5508, 531, 7352, 506, 1032, 12136, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 6445, 600, 564, 236789, 560, 2506, 506, 1171, 8289, 16952, 236764, 1531, 786, 2426, 506, 1855, 886, 236761, 669, 4456, 15852, 625, 657, 236743, 236825, 236778, 236771, 13924, 11092, 236761, 28344, 611, 7352, 600, 2886, 531, 749, 236761, 236773, 236761, 11092, 1699, 506, 1638, 8770, 3136, 236881, 564, 236789, 236753, 1133, 531, 10769, 1800, 3835, 2678, 684, 2678, 1680, 6049, 531, 506, 4168, 8289, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236812, 236825, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 13308, 1083, 3714, 2543, 1083, 623, 51360, 827, 623, 1071, 1083, 623, 38556, 827, 623, 17368, 236779, 13304, 1083, 236743, 236825, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 236825, 236778, 236771, 13924, 11092, 568, 51360, 236768, 47874, 531, 5213, 236795, 236812, 236825, 236810, 236761, 236771, 236771, 749, 236761, 236773, 236761, 11092, 568, 38556, 62902, 657, 506, 1638, 8770, 3136, 529, 5213, 236771, 236761, 236832, 236810, 1018, 568, 236770, 42066, 578, 236743, 236771, 236761, 236832, 236810, 23058, 769, 138, 108, 2094, 3590, 506, 1855, 8289, 5213, 236795, 236819, 236771, 919, 11162, 1018, 1082, 506, 1171, 8289, 6131, 236800, 236832, 236810, 16130, 609, 236812, 236825, 236810, 769, 44096, 531, 7352, 506, 4168, 8289, 1056, 611, 659, 236888, 236743, 246326, 106, 107, 105, 2364, 107, 818, 4168, 8289, 563, 236743, 236832, 236771, 236771, 13924, 11092, 236761, 28344, 611, 7352, 600, 531, 749, 236761, 236773, 236761, 11092, 1699, 506, 1638, 236743, 236771, 236761, 236832, 236810, 8770, 3136, 236881, 564, 236858, 236753, 1133, 531, 69585, 872, 506, 2558, 23058, 2157, 573, 784, 1806, 17489, 66764, 531, 1460, 837, 5469, 506, 1791, 1550, 573, 1041, 7997, 40344, 28172, 4469, 607, 1041, 8709, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236810, 236778, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 236832, 236771, 236771, 13924, 11092, 568, 51360, 236768, 47874, 531, 5213, 236795, 236810, 236778, 236810, 236761, 236771, 236771, 749, 236761, 236773, 236761, 11092, 568, 38556, 62902, 657, 506, 236743, 236771, 236761, 236832, 236810, 8770, 3136, 568, 236770, 42066, 578, 236743, 236771, 236761, 236832, 236810, 23058, 769, 138, 108, 10354, 12613, 23058, 11117, 573, 2343, 14019, 99252, 236787, 138, 107, 236772, 5213, 7280, 8289, 53121, 609, 236800, 236832, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 12400, 8289, 53121, 609, 236812, 236825, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 42173, 8289, 53121, 609, 236810, 236778, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 53121, 5213, 236795, 236770, 236764, 236800, 236825, 236810, 236761, 236771, 236771, 23058, 1018, 138, 108, 2094, 5021, 611, 496, 3582, 7715, 29645, 573, 22020, 506, 17489, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 1032, 48234, 653, 1202, 3342, 10686, 236888, 236743, 249772, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 236743, 236810, 236771, 236771, 13924, 11092, 531, 749, 236761, 236773, 236761, 11092, 531, 10769, 28172, 4469, 6527, 573, 1041, 7997, 40344, 7946, 607, 1041, 8709, 236761, 669, 13924, 2544, 236789, 236751, 4456, 15852, 6224, 528, 42066, 236764, 840, 564, 1461, 531, 1460, 506, 4453, 23058, 9363, 531, 7715, 9668, 236761, 28344, 611, 2426, 506, 1873, 8770, 3136, 532, 2583, 786, 1800, 506, 16952, 2886, 532, 506, 3136, 4850, 236881, 564, 236789, 859, 1202, 672, 573, 1806, 1607, 4469, 17489, 3209, 236764, 840, 1531, 236789, 236751, 1502, 607, 672, 886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236800, 236832, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 236810, 236771, 236771, 13924, 11092, 568, 51360, 236768, 563, 5633, 9363, 531, 5213, 236795, 236800, 236832, 236810, 236761, 236771, 236771, 749, 236761, 236773, 236761, 11092, 568, 38556, 62902, 2721, 580, 506, 8770, 3136, 529, 5213, 236771, 236761, 236832, 236810, 1018, 568, 236770, 42066, 578, 236743, 236771, 236761, 236832, 236810, 23058, 769, 236743, 108, 2094, 3136, 795, 1601, 611, 10769, 4469, 17489, 31979, 528, 42066, 236761, 3792, 786, 1281, 1056, 611, 236789, 500, 5508, 531, 7352, 506, 1032, 12136, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 6445, 600, 564, 236789, 560, 2506, 506, 1171, 8289, 16952, 236764, 1531, 786, 2426, 506, 1855, 886, 236761, 669, 4456, 15852, 625, 657, 236743, 236825, 236778, 236771, 13924, 11092, 236761, 28344, 611, 7352, 600, 2886, 531, 749, 236761, 236773, 236761, 11092, 1699, 506, 1638, 8770, 3136, 236881, 564, 236789, 236753, 1133, 531, 10769, 1800, 3835, 2678, 684, 2678, 1680, 6049, 531, 506, 4168, 8289, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236812, 236825, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 13308, 1083, 3714, 2543, 1083, 623, 51360, 827, 623, 1071, 1083, 623, 38556, 827, 623, 17368, 236779, 13304, 1083, 236743, 236825, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 236825, 236778, 236771, 13924, 11092, 568, 51360, 236768, 47874, 531, 5213, 236795, 236812, 236825, 236810, 236761, 236771, 236771, 749, 236761, 236773, 236761, 11092, 568, 38556, 62902, 657, 506, 1638, 8770, 3136, 529, 5213, 236771, 236761, 236832, 236810, 1018, 568, 236770, 42066, 578, 236743, 236771, 236761, 236832, 236810, 23058, 769, 138, 108, 2094, 3590, 506, 1855, 8289, 5213, 236795, 236819, 236771, 919, 11162, 1018, 1082, 506, 1171, 8289, 6131, 236800, 236832, 236810, 16130, 609, 236812, 236825, 236810, 769, 44096, 531, 7352, 506, 4168, 8289, 1056, 611, 659, 236888, 236743, 246326, 106, 107, 105, 2364, 107, 818, 4168, 8289, 563, 236743, 236832, 236771, 236771, 13924, 11092, 236761, 28344, 611, 7352, 600, 531, 749, 236761, 236773, 236761, 11092, 1699, 506, 1638, 236743, 236771, 236761, 236832, 236810, 8770, 3136, 236881, 564, 236858, 236753, 1133, 531, 69585, 872, 506, 2558, 23058, 2157, 573, 784, 1806, 17489, 66764, 531, 1460, 837, 5469, 506, 1791, 1550, 573, 1041, 7997, 40344, 28172, 4469, 607, 1041, 8709, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236810, 236778, 236810, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 236832, 236771, 236771, 13924, 11092, 568, 51360, 236768, 47874, 531, 5213, 236795, 236810, 236778, 236810, 236761, 236771, 236771, 749, 236761, 236773, 236761, 11092, 568, 38556, 62902, 657, 506, 236743, 236771, 236761, 236832, 236810, 8770, 3136, 568, 236770, 42066, 578, 236743, 236771, 236761, 236832, 236810, 23058, 769, 138, 108, 10354, 12613, 23058, 11117, 573, 2343, 14019, 99252, 236787, 138, 107, 236772, 5213, 7280, 8289, 53121, 609, 236800, 236832, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 12400, 8289, 53121, 609, 236812, 236825, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 42173, 8289, 53121, 609, 236810, 236778, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 9640, 53121, 5213, 236795, 236770, 236764, 236800, 236825, 236810, 236761, 236771, 236771, 23058, 1018, 138, 108, 2094, 5021, 611, 496, 3582, 7715, 29645, 573, 22020, 506, 17489, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 1032, 48234, 653, 1202, 3342, 10686, 236888, 236743, 249772, 239794, 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, 6655, 1938, 236764, 1288, 618, 67896, 5410, 31866, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 2613, 1663, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 6655, 1938, 236764, 1288, 618, 67896, 5410, 31866, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 2613, 1663, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 532, 32187, 2263, 144366, 236764, 8874, 11421, 1015, 2473, 41049, 607, 786, 573, 506, 5312, 1610, 5888, 236761, 9187, 684, 67896, 4803, 10365, 4009, 56188, 997, 19727, 3096, 687, 9175, 62622, 1699, 68324, 236779, 10494, 236764, 1299, 4071, 236772, 30449, 1724, 44100, 607, 4563, 1262, 4323, 2430, 3906, 531, 9128, 901, 236789, 500, 2721, 528, 144366, 236761, 1701, 27662, 2263, 11421, 236764, 8091, 910, 2430, 236779, 3659, 527, 532, 1027, 2430, 236779, 9088, 236779, 3659, 527, 531, 5608, 910, 25075, 3117, 532, 3399, 15154, 236761, 22282, 77372, 5089, 607, 236743, 236810, 236771, 236771, 236862, 23073, 532, 4803, 12714, 18482, 16627, 236764, 12815, 4146, 3361, 531, 54934, 844, 236786, 236806, 236789, 236855, 2167, 29573, 236761, 114815, 496, 2072, 607, 190812, 236764, 4563, 28250, 4981, 236764, 5498, 12714, 236764, 532, 56188, 3004, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236810, 236771, 236810, 236832, 236778, 236771, 236771, 236828, 236825, 236778, 236812, 236832, 827, 623, 2084, 1083, 623, 3304, 827, 623, 2451, 1083, 623, 2574, 1411, 236751, 3955, 236761, 21122, 29872, 236761, 854, 236786, 236766, 236786, 236745, 236810, 236770, 236761, 236778, 236828, 236828, 236810, 236772, 236770, 236810, 236786, 236744, 236800, 236810, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236779, 236778, 236828, 236800, 236819, 236771, 236770, 236778, 236828, 236800, 236832, 236770, 236771, 236778, 236819, 236800, 236779, 236828, 236800, 236819, 236778, 236828, 236800, 236771, 236819, 236770, 236778, 236800, 236771, 236819, 236828, 236770, 236778, 236800, 236812, 236779, 236749, 236761, 4034, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 866, 42213, 661, 1364, 827, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236810, 236764, 623, 7125, 1083, 623, 19727, 3096, 687, 236764, 8874, 23179, 623, 21151, 1083, 623, 139692, 506, 5148, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 657, 997, 19727, 3096, 687, 9175, 62622, 236743, 236778, 236771, 236778, 236812, 236888, 82966, 1023, 30918, 756, 194618, 833, 79893, 236789, 657, 506, 17110, 2519, 79744, 236761, 19653, 3801, 1392, 236767, 5956, 236779, 236758, 15227, 532, 1392, 153384, 1166, 18115, 694, 573, 910, 7646, 13728, 9332, 1263, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236819, 236800, 236828, 236778, 236800, 236819, 236828, 236778, 236800, 236832, 236812, 236828, 236770, 827, 623, 2084, 1083, 623, 35368, 236779, 29889, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236828, 236778, 172679, 236766, 59920, 236953, 45502, 623, 2364, 1083, 3714, 11668, 1083, 623, 236767, 5956, 236779, 236758, 15227, 827, 623, 76647, 236779, 2861, 1083, 236743, 236828, 236819, 236778, 236764, 623, 7125, 1083, 623, 236806, 71245, 236764, 8874, 23179, 623, 21151, 1083, 623, 7280, 990, 657, 997, 19727, 3096, 687, 9175, 62622, 236888, 108220, 1041, 18193, 3605, 13696, 684, 17090, 708, 236789, 236855, 2167, 29573, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236828, 236761, 177917, 531, 1460, 506, 1657, 699, 21256, 531, 12002, 236761, 997, 866, 42213, 31040, 25938, 1604, 623, 5594, 236779, 5576, 1083, 1847, 236764, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 236770, 236832, 236828, 236810, 236819, 236800, 236828, 236778, 236800, 236819, 236828, 236778, 236800, 236832, 236812, 236828, 236770, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 866, 42213, 661, 1364, 827, 623, 10602, 236779, 1201, 1083, 623, 6855, 42213, 4585, 79535, 827, 623, 5353, 5167, 1083, 623, 19727, 3096, 687, 236772, 5140, 1610, 19399, 68916, 528, 28239, 9726, 236772, 10494, 35490, 236761, 34883, 8324, 529, 506, 144366, 4585, 15519, 2338, 236743, 236778, 236771, 236778, 236778, 10498, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 71524, 1083, 236743, 236828, 236832, 236764, 623, 7125, 1083, 3714, 1201, 1083, 623, 19727, 3096, 687, 236764, 8874, 827, 623, 37673, 1083, 236743, 236812, 236770, 236761, 236770, 236832, 236771, 236778, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236770, 236810, 236800, 236825, 1263, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 178756, 236917, 236770, 236746, 236778, 236763, 236806, 51072, 236777, 827, 623, 21151, 1083, 623, 4199, 30918, 11764, 657, 144366, 3148, 28448, 45909, 236789, 236751, 15078, 23060, 236761, 997, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236810, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 3714, 547, 1083, 623, 178756, 236774, 236828, 236917, 236749, 27651, 51072, 236814, 827, 623, 21151, 1083, 623, 84080, 522, 607, 16627, 2258, 47300, 13696, 684, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 18193, 3605, 236761, 997, 6855, 42213, 140226, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236778, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236778, 236953, 25938, 1604, 623, 511, 236779, 87622, 1083, 1847, 236764, 623, 38868, 236779, 2451, 1083, 623, 2574, 1411, 866, 42213, 661, 1364, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236767, 5956, 236779, 236758, 15227, 827, 623, 13330, 236779, 3906, 1083, 3714, 1201, 1083, 623, 109621, 8943, 827, 623, 7125, 1083, 623, 19727, 3096, 687, 236764, 8874, 827, 623, 76647, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 36627, 1083, 623, 13149, 8325, 7107, 16627, 236764, 12815, 59965, 1610, 13696, 684, 708, 236789, 236855, 2167, 29573, 236789, 236751, 18193, 174547, 236761, 34883, 8325, 573, 144366, 4585, 15519, 236743, 236778, 236771, 236778, 236812, 10498, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 661, 236770, 236778, 236800, 827, 623, 21151, 1083, 623, 4199, 30918, 11764, 657, 144366, 7940, 20723, 997, 19727, 3096, 687, 9175, 62622, 997, 199513, 844, 5771, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 827, 623, 56652, 1083, 236743, 236819, 236828, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 661, 236812, 236810, 236825, 827, 623, 21151, 1083, 623, 84080, 522, 607, 28239, 213554, 54934, 844, 236772, 52728, 1265, 236772, 728, 40989, 997, 19727, 3096, 687, 109278, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236778, 236761, 4034, 827, 623, 56652, 1083, 236743, 236832, 236825, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236778, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 54012, 236779, 500, 1416, 1083, 78493, 3250, 1083, 623, 236778, 236771, 236778, 236812, 4585, 15519, 104323, 827, 623, 7633, 1083, 11058, 2574, 1411, 8358, 236761, 854, 236786, 146891, 236770, 236761, 4034, 827, 623, 2574, 1411, 8358, 236761, 854, 236786, 146891, 236778, 236761, 4034, 1935, 200808, 623, 7125, 236779, 87622, 1083, 1847, 236764, 623, 12886, 99791, 236779, 8318, 1083, 236743, 236819, 236778, 236764, 623, 3061, 236779, 28263, 1083, 3714, 133321, 236779, 21050, 1083, 11058, 236865, 5495, 236825, 236799, 236825, 236799, 827, 13659, 236811, 236819, 236776, 236828, 236778, 236810, 827, 13659, 236825, 236780, 236800, 236812, 236828, 236800, 14255, 623, 86708, 1083, 11058, 9610, 508, 800, 827, 623, 1508, 236772, 37108, 694, 827, 623, 45071, 26528, 59491, 14255, 623, 92506, 236779, 4720, 1083, 623, 236770, 236778, 236761, 236812, 38032, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 866, 42213, 661, 1364, 827, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236828, 236778, 236800, 236819, 236778, 236812, 236832, 827, 623, 3659, 527, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236810, 236819, 236825, 236800, 236778, 236812, 236810, 236771, 236771, 236770, 236828, 236832, 236825, 236810, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236770, 236828, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 21151, 1083, 623, 14075, 55748, 532, 16627, 16078, 124288, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236828, 997, 199513, 844, 128345, 997, 19727, 3096, 687, 9175, 62622, 827, 623, 5282, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236812, 236764, 623, 13486, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 19112, 1083, 11058, 236865, 199513, 844, 128345, 827, 13659, 6855, 42213, 9175, 827, 13659, 19727, 3096, 687, 9175, 62622, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236759, 197001, 236863, 25086, 236935, 236753, 236788, 18371, 1263, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236771, 236819, 236828, 236832, 236825, 236778, 236800, 236771, 236819, 236812, 236828, 236810, 236810, 827, 623, 10494, 236779, 2084, 1083, 623, 30292, 40306, 236798, 236779, 1565, 236799, 4200, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236828, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236812, 236778, 236953, 827, 623, 21151, 1083, 623, 3484, 2748, 3605, 236787, 17090, 708, 236789, 236855, 2167, 29573, 20239, 61521, 195004, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 40339, 30710, 997, 9175, 11242, 827, 623, 5282, 236779, 2861, 1083, 236743, 236819, 236810, 236825, 236764, 623, 13486, 236779, 2861, 1083, 236743, 236825, 236832, 236764, 623, 19112, 1083, 11058, 236865, 40339, 30710, 827, 13659, 9175, 11242, 827, 13659, 41210, 10958, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 45502, 623, 12748, 1083, 3714, 1516, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236810, 236771, 236819, 236828, 236832, 236825, 236778, 236800, 236771, 236819, 236812, 236828, 236810, 236825, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 236786, 236770, 18371, 1263, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236771, 236819, 236828, 236832, 236825, 236778, 236800, 236771, 236819, 236812, 236828, 236810, 236832, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 236786, 236778, 18371, 15947, 5237, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236778, 236800, 236810, 236825, 236832, 236828, 236828, 236771, 236770, 236778, 236812, 236810, 236800, 827, 623, 10494, 236779, 2084, 1083, 623, 68946, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236800, 236771, 236953, 827, 623, 21151, 1083, 623, 2866, 236772, 165949, 529, 1041, 30918, 11764, 657, 1392, 8145, 3096, 687, 661, 37276, 236778, 236771, 236778, 236812, 2557, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 997, 19118, 9175, 827, 623, 5282, 236779, 2861, 1083, 236743, 236828, 236812, 236778, 236764, 623, 13486, 236779, 2861, 1083, 236743, 236810, 236828, 236764, 623, 19112, 1083, 11058, 236865, 19118, 9175, 827, 13659, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236812, 827, 13659, 40703, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 143564, 236798, 143126, 236766, 236935, 109370, 18371, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 2364, 236779, 547, 1083, 623, 46456, 10434, 2495, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 5294, 1083, 623, 46456, 10365, 40155, 236786, 2482, 127396, 236764, 2506, 3435, 15345, 2483, 236761, 669, 15345, 236779, 2003, 236779, 5294, 5904, 7087, 496, 4341, 2430, 5853, 236764, 711, 496, 15345, 6060, 1781, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236767, 5956, 236779, 236758, 15227, 827, 623, 10602, 236779, 1201, 1083, 623, 109621, 57122, 827, 623, 5353, 5167, 1083, 623, 19727, 3096, 687, 236772, 5140, 30918, 617, 833, 9726, 236772, 10494, 8325, 1109, 42670, 28239, 1237, 1610, 600, 53717, 9226, 23060, 1109, 997, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236810, 32571, 827, 623, 76647, 1083, 236743, 236825, 236810, 236778, 236764, 623, 71524, 1083, 236743, 236770, 236828, 236819, 236764, 623, 7125, 1083, 3714, 1201, 1083, 623, 19727, 3096, 687, 236764, 45909, 827, 623, 511, 236779, 87622, 1083, 1847, 1263, 623, 43852, 236779, 10494, 1083, 78493, 547, 1083, 623, 236917, 236770, 236751, 140601, 126951, 6552, 20211, 236749, 236855, 827, 623, 21151, 1083, 623, 4199, 30918, 657, 144366, 4085, 9519, 236888, 88970, 684, 213554, 236789, 236751, 35691, 532, 17090, 236789, 236751, 10293, 6667, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236828, 30918, 997, 19727, 3096, 687, 9175, 62622, 827, 623, 19112, 1083, 11058, 236757, 1762, 827, 623, 19727, 3096, 687, 9175, 62622, 14255, 623, 5282, 236779, 2861, 1083, 236743, 236778, 236800, 236770, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236770, 236832, 1263, 3714, 547, 1083, 623, 236874, 236778, 236766, 236798, 236758, 236935, 236755, 6552, 9978, 236804, 236774, 827, 623, 21151, 1083, 623, 136983, 32272, 236888, 29134, 786, 16922, 657, 236743, 236770, 236771, 546, 531, 2619, 31877, 26497, 236772, 661, 19509, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 19727, 3096, 687, 46640, 827, 623, 19112, 1083, 11058, 141805, 827, 623, 19727, 3096, 687, 46640, 14255, 623, 5282, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236819, 104960, 623, 3061, 236779, 41427, 1083, 11058, 236757, 1762, 1929, 827, 623, 50771, 59491, 827, 623, 9610, 508, 800, 4820, 827, 623, 236760, 138307, 8403, 14255, 623, 92506, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 7125, 236779, 20955, 4256, 1083, 3714, 13319, 1083, 623, 19727, 3096, 687, 827, 623, 3255, 1083, 623, 6136, 827, 623, 13330, 236779, 107996, 1083, 623, 87877, 127096, 106, 107, 105, 4368, 107, 1018, 19727, 3096, 687, 4585, 15519, 40073, 1277, 13768, 8708, 1018, 138, 108, 10354, 5213, 236770, 236761, 45909, 4585, 79535, 1018, 138, 107, 236772, 5213, 29338, 66515, 1392, 866, 42213, 661, 1364, 138, 107, 236772, 5213, 6375, 90329, 66515, 13810, 8593, 528, 144366, 236764, 8874, 568, 236812, 236770, 236761, 236770, 236832, 236771, 236778, 237366, 236797, 236764, 753, 236819, 236825, 236761, 236770, 236810, 236800, 236825, 237366, 236824, 236768, 138, 107, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236764, 236778, 236812, 236810, 568, 87622, 2881, 236768, 138, 107, 236772, 5213, 9175, 3316, 21072, 66515, 138, 107, 138, 236772, 65337, 236764, 12815, 9726, 236772, 10494, 35490, 568, 236744, 236761, 236759, 1126, 623, 194618, 833, 79893, 236775, 30918, 769, 138, 107, 138, 236772, 34980, 12714, 4926, 708, 236789, 236855, 2167, 29573, 236772, 52728, 18193, 47300, 532, 28239, 59965, 22888, 236761, 138, 107, 138, 236772, 64663, 997, 199513, 844, 128345, 532, 997, 40339, 30710, 528, 4803, 981, 236761, 138, 107, 236772, 5213, 19469, 49040, 66515, 138, 107, 138, 236772, 870, 236792, 1762, 11764, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236759, 197001, 236863, 25086, 236935, 236753, 236788, 236786, 1473, 623, 14075, 55748, 532, 16627, 16078, 124288, 236743, 242560, 997, 199513, 844, 128345, 236775, 138, 107, 138, 236772, 870, 3484, 2748, 3605, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 236786, 1473, 708, 236789, 236855, 2167, 29573, 236772, 232965, 236772, 41210, 10958, 195004, 236761, 138, 107, 236772, 5213, 46640, 63010, 66515, 138, 107, 138, 236772, 19653, 3701, 528, 31877, 4146, 568, 236744, 236761, 236759, 1126, 1392, 236767, 5956, 236779, 236758, 15227, 528, 997, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236812, 1868, 769, 138, 107, 138, 236772, 4819, 15154, 568, 18553, 236761, 236743, 236770, 236764, 236771, 236771, 236771, 236862, 15975, 810, 1868, 769, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 36064, 57122, 1018, 138, 107, 236772, 5213, 29338, 66515, 1392, 236767, 5956, 236779, 236758, 15227, 138, 107, 236772, 5213, 6375, 90329, 66515, 13810, 8593, 528, 144366, 236764, 8874, 568, 13330, 4071, 236772, 22011, 769, 138, 107, 236772, 5213, 27447, 616, 66515, 236743, 236825, 236810, 236778, 568, 49809, 15154, 769, 138, 107, 236772, 5213, 9175, 3316, 21072, 66515, 138, 107, 138, 236772, 213554, 54934, 844, 532, 17090, 708, 236789, 236855, 2167, 29573, 26899, 568, 9610, 508, 800, 59491, 236764, 1265, 236772, 37108, 694, 769, 138, 107, 138, 236772, 34980, 30918, 236787, 623, 199513, 844, 236772, 52728, 35691, 900, 708, 236789, 236855, 2167, 29573, 10293, 6667, 236743, 242560, 236775, 870, 2883, 5457, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 769, 138, 107, 138, 236772, 64663, 997, 199513, 844, 5771, 532, 997, 19727, 3096, 687, 109278, 236761, 138, 107, 236772, 5213, 19469, 49040, 66515, 138, 107, 138, 236772, 870, 19727, 3096, 687, 4085, 9519, 30918, 5457, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 1473, 21807, 1472, 9226, 23060, 607, 16627, 7913, 236761, 138, 107, 138, 236772, 870, 46640, 18669, 5457, 2574, 1411, 8358, 236761, 854, 236786, 661, 236778, 236761, 4034, 1473, 2672, 1283, 30992, 528, 26497, 236772, 661, 19509, 236761, 138, 107, 236772, 5213, 46640, 63010, 66515, 138, 107, 138, 236772, 23531, 528, 2263, 4749, 568, 236744, 236761, 236759, 1126, 144366, 4585, 15519, 236743, 236778, 236771, 236778, 236810, 769, 138, 107, 138, 236772, 63010, 3136, 236787, 236743, 236770, 236778, 236761, 236812, 236908, 568, 11480, 573, 36989, 1610, 769, 138, 108, 7243, 108, 10354, 5213, 3503, 73022, 1018, 138, 107, 236772, 5213, 6855, 42213, 4585, 79535, 1018, 123552, 528, 2455, 236772, 7669, 35490, 532, 815, 3188, 24085, 23948, 568, 236744, 236761, 236759, 1126, 144366, 3148, 769, 138, 107, 236772, 5213, 109621, 57122, 1018, 5469, 496, 919, 3577, 236764, 213554, 236786, 199513, 844, 236772, 52728, 23947, 607, 3399, 28023, 236761, 138, 107, 236772, 5213, 6375, 3725, 906, 236758, 5710, 66515, 20879, 68324, 4009, 9456, 36064, 236858, 236751, 4563, 618, 85167, 236764, 8874, 236764, 840, 8781, 44898, 144366, 58035, 236761, 138, 108, 10354, 5213, 211199, 1018, 138, 107, 30255, 77372, 5213, 6855, 42213, 4585, 79535, 1018, 573, 31877, 5559, 532, 27820, 236764, 1651, 5213, 109621, 57122, 1018, 1451, 14125, 607, 32163, 236764, 18669, 236772, 27612, 15154, 236761, 10508, 8913, 607, 16627, 236764, 12815, 22888, 236761, 138, 108, 7243, 138, 107, 236829, 15764, 7835, 1699, 10365, 9299, 6436, 531, 18855, 4563, 236764, 3117, 236764, 532, 15154, 19455, 9603, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 532, 32187, 2263, 144366, 236764, 8874, 11421, 1015, 2473, 41049, 607, 786, 573, 506, 5312, 1610, 5888, 236761, 9187, 684, 67896, 4803, 10365, 4009, 56188, 997, 19727, 3096, 687, 9175, 62622, 1699, 68324, 236779, 10494, 236764, 1299, 4071, 236772, 30449, 1724, 44100, 607, 4563, 1262, 4323, 2430, 3906, 531, 9128, 901, 236789, 500, 2721, 528, 144366, 236761, 1701, 27662, 2263, 11421, 236764, 8091, 910, 2430, 236779, 3659, 527, 532, 1027, 2430, 236779, 9088, 236779, 3659, 527, 531, 5608, 910, 25075, 3117, 532, 3399, 15154, 236761, 22282, 77372, 5089, 607, 236743, 236810, 236771, 236771, 236862, 23073, 532, 4803, 12714, 18482, 16627, 236764, 12815, 4146, 3361, 531, 54934, 844, 236786, 236806, 236789, 236855, 2167, 29573, 236761, 114815, 496, 2072, 607, 190812, 236764, 4563, 28250, 4981, 236764, 5498, 12714, 236764, 532, 56188, 3004, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236810, 236771, 236810, 236832, 236778, 236771, 236771, 236828, 236825, 236778, 236812, 236832, 827, 623, 2084, 1083, 623, 3304, 827, 623, 2451, 1083, 623, 2574, 1411, 236751, 3955, 236761, 21122, 29872, 236761, 854, 236786, 236766, 236786, 236745, 236810, 236770, 236761, 236778, 236828, 236828, 236810, 236772, 236770, 236810, 236786, 236744, 236800, 236810, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236779, 236778, 236828, 236800, 236819, 236771, 236770, 236778, 236828, 236800, 236832, 236770, 236771, 236778, 236819, 236800, 236779, 236828, 236800, 236819, 236778, 236828, 236800, 236771, 236819, 236770, 236778, 236800, 236771, 236819, 236828, 236770, 236778, 236800, 236812, 236779, 236749, 236761, 4034, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 866, 42213, 661, 1364, 827, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236810, 236764, 623, 7125, 1083, 623, 19727, 3096, 687, 236764, 8874, 23179, 623, 21151, 1083, 623, 139692, 506, 5148, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 657, 997, 19727, 3096, 687, 9175, 62622, 236743, 236778, 236771, 236778, 236812, 236888, 82966, 1023, 30918, 756, 194618, 833, 79893, 236789, 657, 506, 17110, 2519, 79744, 236761, 19653, 3801, 1392, 236767, 5956, 236779, 236758, 15227, 532, 1392, 153384, 1166, 18115, 694, 573, 910, 7646, 13728, 9332, 1263, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236819, 236800, 236828, 236778, 236800, 236819, 236828, 236778, 236800, 236832, 236812, 236828, 236770, 827, 623, 2084, 1083, 623, 35368, 236779, 29889, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236828, 236778, 172679, 236766, 59920, 236953, 45502, 623, 2364, 1083, 3714, 11668, 1083, 623, 236767, 5956, 236779, 236758, 15227, 827, 623, 76647, 236779, 2861, 1083, 236743, 236828, 236819, 236778, 236764, 623, 7125, 1083, 623, 236806, 71245, 236764, 8874, 23179, 623, 21151, 1083, 623, 7280, 990, 657, 997, 19727, 3096, 687, 9175, 62622, 236888, 108220, 1041, 18193, 3605, 13696, 684, 17090, 708, 236789, 236855, 2167, 29573, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236828, 236761, 177917, 531, 1460, 506, 1657, 699, 21256, 531, 12002, 236761, 997, 866, 42213, 31040, 25938, 1604, 623, 5594, 236779, 5576, 1083, 1847, 236764, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 236770, 236832, 236828, 236810, 236819, 236800, 236828, 236778, 236800, 236819, 236828, 236778, 236800, 236832, 236812, 236828, 236770, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 866, 42213, 661, 1364, 827, 623, 10602, 236779, 1201, 1083, 623, 6855, 42213, 4585, 79535, 827, 623, 5353, 5167, 1083, 623, 19727, 3096, 687, 236772, 5140, 1610, 19399, 68916, 528, 28239, 9726, 236772, 10494, 35490, 236761, 34883, 8324, 529, 506, 144366, 4585, 15519, 2338, 236743, 236778, 236771, 236778, 236778, 10498, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 71524, 1083, 236743, 236828, 236832, 236764, 623, 7125, 1083, 3714, 1201, 1083, 623, 19727, 3096, 687, 236764, 8874, 827, 623, 37673, 1083, 236743, 236812, 236770, 236761, 236770, 236832, 236771, 236778, 236764, 623, 41713, 1083, 753, 236819, 236825, 236761, 236770, 236810, 236800, 236825, 1263, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 178756, 236917, 236770, 236746, 236778, 236763, 236806, 51072, 236777, 827, 623, 21151, 1083, 623, 4199, 30918, 11764, 657, 144366, 3148, 28448, 45909, 236789, 236751, 15078, 23060, 236761, 997, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236810, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 3714, 547, 1083, 623, 178756, 236774, 236828, 236917, 236749, 27651, 51072, 236814, 827, 623, 21151, 1083, 623, 84080, 522, 607, 16627, 2258, 47300, 13696, 684, 17090, 708, 236789, 236855, 2167, 29573, 236789, 236751, 18193, 3605, 236761, 997, 6855, 42213, 140226, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236778, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236778, 236953, 25938, 1604, 623, 511, 236779, 87622, 1083, 1847, 236764, 623, 38868, 236779, 2451, 1083, 623, 2574, 1411, 866, 42213, 661, 1364, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236767, 5956, 236779, 236758, 15227, 827, 623, 13330, 236779, 3906, 1083, 3714, 1201, 1083, 623, 109621, 8943, 827, 623, 7125, 1083, 623, 19727, 3096, 687, 236764, 8874, 827, 623, 76647, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 36627, 1083, 623, 13149, 8325, 7107, 16627, 236764, 12815, 59965, 1610, 13696, 684, 708, 236789, 236855, 2167, 29573, 236789, 236751, 18193, 174547, 236761, 34883, 8325, 573, 144366, 4585, 15519, 236743, 236778, 236771, 236778, 236812, 10498, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 661, 236770, 236778, 236800, 827, 623, 21151, 1083, 623, 4199, 30918, 11764, 657, 144366, 7940, 20723, 997, 19727, 3096, 687, 9175, 62622, 997, 199513, 844, 5771, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 827, 623, 56652, 1083, 236743, 236819, 236828, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 661, 236812, 236810, 236825, 827, 623, 21151, 1083, 623, 84080, 522, 607, 28239, 213554, 54934, 844, 236772, 52728, 1265, 236772, 728, 40989, 997, 19727, 3096, 687, 109278, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 661, 236778, 236761, 4034, 827, 623, 56652, 1083, 236743, 236832, 236825, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236778, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 54012, 236779, 500, 1416, 1083, 78493, 3250, 1083, 623, 236778, 236771, 236778, 236812, 4585, 15519, 104323, 827, 623, 7633, 1083, 11058, 2574, 1411, 8358, 236761, 854, 236786, 146891, 236770, 236761, 4034, 827, 623, 2574, 1411, 8358, 236761, 854, 236786, 146891, 236778, 236761, 4034, 1935, 200808, 623, 7125, 236779, 87622, 1083, 1847, 236764, 623, 12886, 99791, 236779, 8318, 1083, 236743, 236819, 236778, 236764, 623, 3061, 236779, 28263, 1083, 3714, 133321, 236779, 21050, 1083, 11058, 236865, 5495, 236825, 236799, 236825, 236799, 827, 13659, 236811, 236819, 236776, 236828, 236778, 236810, 827, 13659, 236825, 236780, 236800, 236812, 236828, 236800, 14255, 623, 86708, 1083, 11058, 9610, 508, 800, 827, 623, 1508, 236772, 37108, 694, 827, 623, 45071, 26528, 59491, 14255, 623, 92506, 236779, 4720, 1083, 623, 236770, 236778, 236761, 236812, 38032, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 866, 42213, 661, 1364, 827, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236828, 236778, 236800, 236819, 236778, 236812, 236832, 827, 623, 3659, 527, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236810, 236819, 236825, 236800, 236778, 236812, 236810, 236771, 236771, 236770, 236828, 236832, 236825, 236810, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236770, 236828, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 21151, 1083, 623, 14075, 55748, 532, 16627, 16078, 124288, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236828, 997, 199513, 844, 128345, 997, 19727, 3096, 687, 9175, 62622, 827, 623, 5282, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236812, 236764, 623, 13486, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 19112, 1083, 11058, 236865, 199513, 844, 128345, 827, 13659, 6855, 42213, 9175, 827, 13659, 19727, 3096, 687, 9175, 62622, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236759, 197001, 236863, 25086, 236935, 236753, 236788, 18371, 1263, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236771, 236819, 236828, 236832, 236825, 236778, 236800, 236771, 236819, 236812, 236828, 236810, 236810, 827, 623, 10494, 236779, 2084, 1083, 623, 30292, 40306, 236798, 236779, 1565, 236799, 4200, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236828, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236812, 236778, 236953, 827, 623, 21151, 1083, 623, 3484, 2748, 3605, 236787, 17090, 708, 236789, 236855, 2167, 29573, 20239, 61521, 195004, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 40339, 30710, 997, 9175, 11242, 827, 623, 5282, 236779, 2861, 1083, 236743, 236819, 236810, 236825, 236764, 623, 13486, 236779, 2861, 1083, 236743, 236825, 236832, 236764, 623, 19112, 1083, 11058, 236865, 40339, 30710, 827, 13659, 9175, 11242, 827, 13659, 41210, 10958, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 45502, 623, 12748, 1083, 3714, 1516, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236810, 236771, 236819, 236828, 236832, 236825, 236778, 236800, 236771, 236819, 236812, 236828, 236810, 236825, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 236786, 236770, 18371, 1263, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236771, 236819, 236828, 236832, 236825, 236778, 236800, 236771, 236819, 236812, 236828, 236810, 236832, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 236786, 236778, 18371, 15947, 5237, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236778, 236800, 236810, 236825, 236832, 236828, 236828, 236771, 236770, 236778, 236812, 236810, 236800, 827, 623, 10494, 236779, 2084, 1083, 623, 68946, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236800, 236771, 236953, 827, 623, 21151, 1083, 623, 2866, 236772, 165949, 529, 1041, 30918, 11764, 657, 1392, 8145, 3096, 687, 661, 37276, 236778, 236771, 236778, 236812, 2557, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 997, 19118, 9175, 827, 623, 5282, 236779, 2861, 1083, 236743, 236828, 236812, 236778, 236764, 623, 13486, 236779, 2861, 1083, 236743, 236810, 236828, 236764, 623, 19112, 1083, 11058, 236865, 19118, 9175, 827, 13659, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236812, 827, 13659, 40703, 9175, 14255, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 143564, 236798, 143126, 236766, 236935, 109370, 18371, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 2364, 236779, 547, 1083, 623, 46456, 10434, 2495, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 5294, 1083, 623, 46456, 10365, 40155, 236786, 2482, 127396, 236764, 2506, 3435, 15345, 2483, 236761, 669, 15345, 236779, 2003, 236779, 5294, 5904, 7087, 496, 4341, 2430, 5853, 236764, 711, 496, 15345, 6060, 1781, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236767, 5956, 236779, 236758, 15227, 827, 623, 10602, 236779, 1201, 1083, 623, 109621, 57122, 827, 623, 5353, 5167, 1083, 623, 19727, 3096, 687, 236772, 5140, 30918, 617, 833, 9726, 236772, 10494, 8325, 1109, 42670, 28239, 1237, 1610, 600, 53717, 9226, 23060, 1109, 997, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236810, 32571, 827, 623, 76647, 1083, 236743, 236825, 236810, 236778, 236764, 623, 71524, 1083, 236743, 236770, 236828, 236819, 236764, 623, 7125, 1083, 3714, 1201, 1083, 623, 19727, 3096, 687, 236764, 45909, 827, 623, 511, 236779, 87622, 1083, 1847, 1263, 623, 43852, 236779, 10494, 1083, 78493, 547, 1083, 623, 236917, 236770, 236751, 140601, 126951, 6552, 20211, 236749, 236855, 827, 623, 21151, 1083, 623, 4199, 30918, 657, 144366, 4085, 9519, 236888, 88970, 684, 213554, 236789, 236751, 35691, 532, 17090, 236789, 236751, 10293, 6667, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236828, 30918, 997, 19727, 3096, 687, 9175, 62622, 827, 623, 19112, 1083, 11058, 236757, 1762, 827, 623, 19727, 3096, 687, 9175, 62622, 14255, 623, 5282, 236779, 2861, 1083, 236743, 236778, 236800, 236770, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236770, 236832, 1263, 3714, 547, 1083, 623, 236874, 236778, 236766, 236798, 236758, 236935, 236755, 6552, 9978, 236804, 236774, 827, 623, 21151, 1083, 623, 136983, 32272, 236888, 29134, 786, 16922, 657, 236743, 236770, 236771, 546, 531, 2619, 31877, 26497, 236772, 661, 19509, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 19727, 3096, 687, 46640, 827, 623, 19112, 1083, 11058, 141805, 827, 623, 19727, 3096, 687, 46640, 14255, 623, 5282, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236819, 104960, 623, 3061, 236779, 41427, 1083, 11058, 236757, 1762, 1929, 827, 623, 50771, 59491, 827, 623, 9610, 508, 800, 4820, 827, 623, 236760, 138307, 8403, 14255, 623, 92506, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 7125, 236779, 20955, 4256, 1083, 3714, 13319, 1083, 623, 19727, 3096, 687, 827, 623, 3255, 1083, 623, 6136, 827, 623, 13330, 236779, 107996, 1083, 623, 87877, 127096, 106, 107, 105, 4368, 107, 1018, 19727, 3096, 687, 4585, 15519, 40073, 1277, 13768, 8708, 1018, 138, 108, 10354, 5213, 236770, 236761, 45909, 4585, 79535, 1018, 138, 107, 236772, 5213, 29338, 66515, 1392, 866, 42213, 661, 1364, 138, 107, 236772, 5213, 6375, 90329, 66515, 13810, 8593, 528, 144366, 236764, 8874, 568, 236812, 236770, 236761, 236770, 236832, 236771, 236778, 237366, 236797, 236764, 753, 236819, 236825, 236761, 236770, 236810, 236800, 236825, 237366, 236824, 236768, 138, 107, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236764, 236778, 236812, 236810, 568, 87622, 2881, 236768, 138, 107, 236772, 5213, 9175, 3316, 21072, 66515, 138, 107, 138, 236772, 65337, 236764, 12815, 9726, 236772, 10494, 35490, 568, 236744, 236761, 236759, 1126, 623, 194618, 833, 79893, 236775, 30918, 769, 138, 107, 138, 236772, 34980, 12714, 4926, 708, 236789, 236855, 2167, 29573, 236772, 52728, 18193, 47300, 532, 28239, 59965, 22888, 236761, 138, 107, 138, 236772, 64663, 997, 199513, 844, 128345, 532, 997, 40339, 30710, 528, 4803, 981, 236761, 138, 107, 236772, 5213, 19469, 49040, 66515, 138, 107, 138, 236772, 870, 236792, 1762, 11764, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236759, 197001, 236863, 25086, 236935, 236753, 236788, 236786, 1473, 623, 14075, 55748, 532, 16627, 16078, 124288, 236743, 242560, 997, 199513, 844, 128345, 236775, 138, 107, 138, 236772, 870, 3484, 2748, 3605, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236825, 236763, 236792, 236828, 172679, 236766, 230188, 236814, 236786, 1473, 708, 236789, 236855, 2167, 29573, 236772, 232965, 236772, 41210, 10958, 195004, 236761, 138, 107, 236772, 5213, 46640, 63010, 66515, 138, 107, 138, 236772, 19653, 3701, 528, 31877, 4146, 568, 236744, 236761, 236759, 1126, 1392, 236767, 5956, 236779, 236758, 15227, 528, 997, 19727, 3096, 687, 9175, 62622, 236778, 236771, 236778, 236812, 1868, 769, 138, 107, 138, 236772, 4819, 15154, 568, 18553, 236761, 236743, 236770, 236764, 236771, 236771, 236771, 236862, 15975, 810, 1868, 769, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 36064, 57122, 1018, 138, 107, 236772, 5213, 29338, 66515, 1392, 236767, 5956, 236779, 236758, 15227, 138, 107, 236772, 5213, 6375, 90329, 66515, 13810, 8593, 528, 144366, 236764, 8874, 568, 13330, 4071, 236772, 22011, 769, 138, 107, 236772, 5213, 27447, 616, 66515, 236743, 236825, 236810, 236778, 568, 49809, 15154, 769, 138, 107, 236772, 5213, 9175, 3316, 21072, 66515, 138, 107, 138, 236772, 213554, 54934, 844, 532, 17090, 708, 236789, 236855, 2167, 29573, 26899, 568, 9610, 508, 800, 59491, 236764, 1265, 236772, 37108, 694, 769, 138, 107, 138, 236772, 34980, 30918, 236787, 623, 199513, 844, 236772, 52728, 35691, 900, 708, 236789, 236855, 2167, 29573, 10293, 6667, 236743, 242560, 236775, 870, 2883, 5457, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 769, 138, 107, 138, 236772, 64663, 997, 199513, 844, 5771, 532, 997, 19727, 3096, 687, 109278, 236761, 138, 107, 236772, 5213, 19469, 49040, 66515, 138, 107, 138, 236772, 870, 19727, 3096, 687, 4085, 9519, 30918, 5457, 2574, 1411, 8358, 236761, 854, 236786, 661, 236770, 236761, 4034, 1473, 21807, 1472, 9226, 23060, 607, 16627, 7913, 236761, 138, 107, 138, 236772, 870, 46640, 18669, 5457, 2574, 1411, 8358, 236761, 854, 236786, 661, 236778, 236761, 4034, 1473, 2672, 1283, 30992, 528, 26497, 236772, 661, 19509, 236761, 138, 107, 236772, 5213, 46640, 63010, 66515, 138, 107, 138, 236772, 23531, 528, 2263, 4749, 568, 236744, 236761, 236759, 1126, 144366, 4585, 15519, 236743, 236778, 236771, 236778, 236810, 769, 138, 107, 138, 236772, 63010, 3136, 236787, 236743, 236770, 236778, 236761, 236812, 236908, 568, 11480, 573, 36989, 1610, 769, 138, 108, 7243, 108, 10354, 5213, 3503, 73022, 1018, 138, 107, 236772, 5213, 6855, 42213, 4585, 79535, 1018, 123552, 528, 2455, 236772, 7669, 35490, 532, 815, 3188, 24085, 23948, 568, 236744, 236761, 236759, 1126, 144366, 3148, 769, 138, 107, 236772, 5213, 109621, 57122, 1018, 5469, 496, 919, 3577, 236764, 213554, 236786, 199513, 844, 236772, 52728, 23947, 607, 3399, 28023, 236761, 138, 107, 236772, 5213, 6375, 3725, 906, 236758, 5710, 66515, 20879, 68324, 4009, 9456, 36064, 236858, 236751, 4563, 618, 85167, 236764, 8874, 236764, 840, 8781, 44898, 144366, 58035, 236761, 138, 108, 10354, 5213, 211199, 1018, 138, 107, 30255, 77372, 5213, 6855, 42213, 4585, 79535, 1018, 573, 31877, 5559, 532, 27820, 236764, 1651, 5213, 109621, 57122, 1018, 1451, 14125, 607, 32163, 236764, 18669, 236772, 27612, 15154, 236761, 10508, 8913, 607, 16627, 236764, 12815, 22888, 236761, 138, 108, 7243, 138, 107, 236829, 15764, 7835, 1699, 10365, 9299, 6436, 531, 18855, 4563, 236764, 3117, 236764, 532, 15154, 19455, 9603, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6250, 1041, 1852, 11764, 1960, 532, 1202, 1601, 58098, 855, 1041, 21212, 1308, 36498, 236761, 3199, 611, 9279, 506, 53838, 3385, 2644, 573, 1239, 3019, 236787, 496, 609, 236770, 236771, 236771, 22388, 236764, 609, 236810, 236771, 236771, 11764, 236764, 532, 609, 236778, 236771, 236771, 9626, 8289, 236764, 14253, 496, 236743, 236770, 236810, 236908, 12223, 3418, 784, 4852, 236881, 564, 1461, 531, 1386, 2889, 1041, 6224, 4196, 13128, 840, 29964, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1387, 236779, 9707, 1083, 236743, 236828, 236810, 236764, 623, 2074, 236779, 9707, 1083, 236743, 236812, 236778, 236810, 236764, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 6259, 14253, 496, 236743, 236770, 236810, 236908, 12223, 531, 822, 3019, 236764, 506, 53838, 3385, 2644, 795, 577, 5213, 236795, 236828, 236810, 531, 609, 236812, 236778, 236810, 1018, 568, 38556, 769, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 81084, 567, 66515, 609, 236770, 236771, 236771, 16130, 5213, 236795, 236828, 236810, 1018, 107, 236772, 5213, 91671, 66515, 609, 236810, 236771, 236771, 16130, 5213, 236795, 236812, 236778, 236810, 1018, 107, 236772, 5213, 105318, 33775, 66515, 609, 236778, 236771, 236771, 16130, 5213, 236795, 236770, 236832, 236771, 1018, 108, 2094, 2644, 22606, 822, 21212, 7474, 13128, 1651, 16977, 46407, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 1607, 12223, 11298, 236888, 106, 107, 105, 2364, 107, 8574, 611, 9279, 506, 53838, 3385, 21280, 573, 1156, 236772, 8114, 23548, 607, 496, 236743, 236770, 236771, 236908, 12223, 532, 784, 1806, 3019, 607, 496, 236743, 236778, 236771, 236908, 12223, 236881, 1701, 2591, 236764, 138636, 900, 40383, 236764, 138636, 900, 40675, 236764, 40383, 900, 40675, 236764, 532, 784, 1806, 3075, 236761, 1174, 795, 1601, 786, 3904, 8289, 15663, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1387, 236779, 9707, 1083, 236743, 236819, 236771, 236761, 236771, 236764, 623, 2074, 236779, 9707, 1083, 236743, 236812, 236810, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 103411, 236779, 70343, 1083, 623, 236770, 236771, 70887, 623, 7633, 236779, 47382, 1083, 236743, 236778, 236764, 623, 13308, 1083, 78493, 1201, 1083, 623, 81084, 567, 827, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236771, 236771, 236761, 236771, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236819, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 91671, 827, 623, 17368, 236779, 9707, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236812, 236810, 236771, 236761, 236771, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 91671, 2509, 4188, 827, 623, 236778, 236771, 236908, 53838, 8376, 4188, 14255, 623, 29995, 1083, 3714, 7633, 1083, 623, 41941, 3149, 2509, 4852, 568, 91671, 236768, 532, 21648, 12223, 6224, 573, 8376, 25521, 236761, 40276, 1374, 3204, 3141, 236743, 236770, 236771, 236908, 36498, 532, 496, 236743, 236778, 236771, 236908, 12223, 573, 506, 1806, 236772, 8114, 8376, 1781, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 9707, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236770, 236828, 236771, 236764, 623, 2074, 1083, 236743, 236825, 236800, 236771, 1263, 623, 164690, 1083, 3714, 91671, 900, 40675, 1083, 236743, 236825, 236800, 236771, 236764, 623, 91671, 1083, 236743, 236812, 236810, 236771, 236764, 623, 105318, 1083, 236743, 236770, 236828, 236771, 1263, 623, 27617, 1083, 623, 38556, 827, 623, 103411, 236779, 70343, 1083, 623, 236770, 236771, 236908, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 70343, 524, 236779, 62938, 1083, 78493, 1201, 1083, 623, 81084, 567, 827, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236771, 236771, 236764, 623, 70343, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 9707, 1083, 236743, 236828, 236771, 1263, 3714, 1201, 1083, 623, 91671, 827, 623, 17368, 236779, 9707, 1083, 236743, 236810, 236771, 236771, 236764, 623, 70343, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 9707, 1083, 236743, 236812, 236771, 236771, 1263, 3714, 1201, 1083, 623, 105318, 33775, 827, 623, 17368, 236779, 9707, 1083, 236743, 236778, 236771, 236771, 236764, 623, 70343, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 9707, 1083, 236743, 236770, 236825, 236771, 104960, 623, 6725, 236779, 83168, 236779, 9707, 1083, 236743, 236825, 236812, 236771, 236764, 623, 9707, 236779, 8572, 236779, 164690, 1083, 3714, 13498, 236779, 8114, 236779, 1387, 1083, 236743, 236778, 236812, 236771, 236764, 623, 13498, 236779, 8114, 236779, 2074, 1083, 236743, 236810, 236825, 236771, 236764, 623, 19891, 236779, 8114, 236779, 6725, 1083, 236743, 236825, 236812, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 21212, 3671, 573, 822, 2509, 23548, 236787, 108, 1018, 11634, 236772, 4098, 99252, 568, 236770, 236771, 236908, 66272, 1473, 1018, 107, 236770, 236761, 5213, 81084, 567, 900, 40383, 1018, 138, 107, 139, 236795, 236819, 236771, 568, 81084, 567, 236768, 900, 609, 236812, 236810, 236771, 568, 91671, 236768, 578, 5213, 236795, 236810, 236812, 236771, 2558, 1018, 138, 107, 139, 11280, 2644, 236787, 609, 236819, 236771, 753, 609, 236812, 236810, 236771, 108, 236778, 236761, 5213, 81084, 567, 900, 40675, 1018, 138, 107, 139, 236795, 236819, 236771, 568, 81084, 567, 236768, 900, 609, 236770, 236828, 236771, 568, 105318, 236768, 578, 5213, 236795, 236778, 236832, 236771, 2558, 1018, 138, 107, 139, 11280, 2644, 236787, 609, 236819, 236771, 753, 609, 236770, 236828, 236771, 108, 236800, 236761, 5213, 91671, 900, 40675, 1018, 138, 107, 139, 236795, 236812, 236810, 236771, 568, 91671, 236768, 900, 609, 236770, 236828, 236771, 568, 105318, 236768, 578, 5213, 236795, 236825, 236800, 236771, 2558, 1018, 138, 107, 139, 11280, 2644, 236787, 609, 236770, 236828, 236771, 753, 609, 236812, 236810, 236771, 108, 1018, 19765, 236772, 4098, 33775, 568, 236778, 236771, 236908, 66272, 1473, 1018, 138, 107, 236795, 236828, 236771, 568, 81084, 567, 236768, 900, 609, 236812, 236771, 236771, 568, 91671, 236768, 900, 609, 236770, 236825, 236771, 568, 105318, 236768, 578, 5213, 236795, 236825, 236812, 236771, 2558, 1018, 138, 107, 11280, 2644, 236787, 609, 236828, 236771, 753, 609, 236812, 236771, 236771, 108, 1018, 211199, 53121, 138, 107, 236772, 37058, 784, 1806, 3019, 657, 609, 236825, 236812, 236771, 568, 176498, 609, 236828, 236771, 236771, 236768, 573, 496, 33348, 236743, 236778, 236771, 236908, 15749, 138, 107, 236772, 46816, 141398, 21212, 607, 506, 1156, 236772, 8114, 17489, 6250, 657, 609, 236778, 236832, 236771, 138, 107, 236772, 75133, 496, 3582, 609, 236819, 236771, 7234, 1523, 573, 3141, 66064, 108, 38786, 611, 1133, 786, 531, 6518, 672, 1131, 496, 21212, 2633, 653, 3600, 42527, 11298, 573, 1239, 17489, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 6518, 672, 1131, 496, 21212, 2633, 600, 236789, 236751, 3735, 531, 4024, 607, 7391, 236761, 3199, 611, 992, 3600, 496, 42527, 7545, 600, 23948, 1131, 2263, 15333, 6540, 236881, 564, 236789, 236753, 2765, 531, 27968, 1041, 2765, 573, 14105, 1610, 532, 27249, 1131, 506, 7009, 753, 7463, 2613, 1133, 756, 9175, 1275, 173083, 833, 152502, 54866, 88531, 103709, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 4430, 236772, 2788, 21212, 2633, 532, 36297, 42527, 7545, 236787, 108, 7243, 108, 10354, 5213, 110873, 6274, 236787, 4585, 1275, 173083, 833, 152502, 54866, 88531, 1018, 138, 107, 236909, 5213, 4098, 33775, 1018, 146, 236909, 5213, 30498, 14584, 1018, 1109, 5213, 79137, 1018, 1109, 5213, 17667, 14584, 1018, 1109, 5213, 194122, 1018, 138, 236909, 138, 107, 236909, 2819, 29118, 236909, 2819, 1040, 236909, 29118, 236909, 2819, 119434, 29118, 236909, 138, 107, 236909, 5213, 81084, 567, 10522, 1018, 145, 236909, 609, 236770, 236771, 236771, 151, 236909, 2192, 148, 236909, 609, 236770, 236771, 236771, 148, 236909, 2192, 148, 236909, 138, 107, 236909, 5213, 91671, 10522, 1018, 145, 236909, 609, 236810, 236771, 236771, 151, 236909, 2192, 148, 236909, 609, 236810, 236771, 236771, 148, 236909, 2192, 148, 236909, 138, 107, 236909, 5213, 105318, 10522, 1018, 146, 236909, 609, 236778, 236771, 236771, 151, 236909, 2192, 148, 236909, 609, 236778, 236771, 236771, 148, 236909, 2192, 148, 236909, 138, 107, 236909, 5213, 81084, 567, 900, 40383, 1018, 1109, 609, 236825, 236771, 236771, 151, 236909, 236743, 236770, 236771, 236908, 146, 236909, 609, 236810, 236812, 236771, 148, 236909, 609, 236825, 236771, 146, 236909, 138, 107, 236909, 5213, 81084, 567, 900, 40675, 1018, 138, 236909, 609, 236800, 236771, 236771, 151, 236909, 236743, 236770, 236771, 236908, 146, 236909, 609, 236778, 236832, 236771, 148, 236909, 609, 236800, 236771, 146, 236909, 138, 107, 236909, 5213, 91671, 900, 40675, 1018, 138, 236909, 609, 236832, 236771, 236771, 151, 236909, 236743, 236770, 236771, 236908, 146, 236909, 609, 236825, 236800, 236771, 148, 236909, 609, 236832, 236771, 146, 236909, 138, 107, 236909, 5213, 3243, 14019, 8381, 1018, 144, 236909, 609, 236828, 236771, 236771, 151, 236909, 236743, 236778, 236771, 236908, 146, 236909, 609, 236825, 236812, 236771, 148, 236909, 609, 236770, 236825, 236771, 145, 236909, 138, 108, 7243, 108, 10354, 5213, 21301, 40246, 34428, 236787, 623, 60891, 41025, 62480, 236775, 1018, 138, 107, 236770, 236761, 5213, 236775, 9175, 137276, 40383, 236775, 67653, 1018, 138, 107, 139, 236772, 32300, 607, 496, 2263, 15333, 8325, 531, 2619, 5809, 236772, 77943, 24482, 5012, 2196, 607, 1027, 11764, 8289, 236761, 138, 107, 139, 236772, 19653, 1257, 236787, 165996, 11069, 2033, 34904, 1610, 1275, 1292, 236761, 7167, 614, 11764, 672, 2297, 532, 1769, 2033, 496, 6347, 529, 15333, 1781, 236829, 138, 108, 236778, 236761, 5213, 236775, 18721, 1777, 54866, 37936, 236775, 1018, 138, 107, 139, 236772, 46816, 496, 2196, 623, 67986, 98306, 15806, 236775, 568, 6047, 152502, 206211, 236768, 607, 1027, 9626, 8289, 7408, 236761, 138, 107, 139, 236772, 51199, 236772, 495, 236787, 165996, 27252, 822, 3797, 4710, 7080, 618, 32052, 1709, 237028, 41413, 9626, 3124, 9332, 236829, 138, 108, 236800, 236761, 5213, 236775, 60891, 97510, 26127, 236775, 41044, 1018, 138, 107, 139, 236772, 9793, 496, 236743, 236800, 236771, 236772, 1496, 18214, 1298, 7391, 1015, 4029, 496, 4389, 974, 5213, 236810, 236908, 1135, 910, 2148, 2509, 1018, 568, 624, 506, 4389, 6757, 236743, 236810, 236908, 2311, 42035, 138, 107, 139, 236772, 6890, 10365, 79732, 58442, 15333, 70836, 607, 100264, 1133, 236787, 165996, 144411, 1023, 23789, 528, 65695, 1274, 236764, 6752, 57260, 236764, 532, 6998, 9332, 236829, 138, 108, 236812, 236761, 5213, 236775, 101457, 833, 180943, 236775, 37058, 1018, 138, 107, 139, 236772, 46816, 496, 53838, 22388, 900, 9626, 8289, 32250, 7489, 165996, 36819, 1030, 7672, 236764, 120941, 8224, 9332, 236829, 138, 107, 139, 236772, 12213, 496, 609, 236770, 236771, 7963, 3733, 531, 496, 2263, 9180, 568, 236744, 236761, 236759, 1126, 52192, 236858, 236751, 62879, 653, 669, 50410, 833, 159638, 236768, 607, 1418, 22479, 236761, 138, 108, 236810, 236761, 5213, 46640, 72991, 4585, 1018, 138, 107, 139, 236772, 133857, 496, 30918, 528, 496, 15333, 12960, 18482, 60902, 11764, 236772, 68122, 1610, 568, 236744, 236761, 236759, 1126, 496, 61743, 21735, 1133, 506, 33946, 1883, 9562, 769, 138, 108, 38786, 611, 1133, 786, 531, 12262, 2777, 4009, 12714, 653, 4553, 23693, 531, 1894, 672, 7073, 236881, 236743, 245838, 248850, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6250, 1041, 1852, 11764, 1960, 532, 1202, 1601, 58098, 855, 1041, 21212, 1308, 36498, 236761, 3199, 611, 9279, 506, 53838, 3385, 2644, 573, 1239, 3019, 236787, 496, 609, 236770, 236771, 236771, 22388, 236764, 609, 236810, 236771, 236771, 11764, 236764, 532, 609, 236778, 236771, 236771, 9626, 8289, 236764, 14253, 496, 236743, 236770, 236810, 236908, 12223, 3418, 784, 4852, 236881, 564, 1461, 531, 1386, 2889, 1041, 6224, 4196, 13128, 840, 29964, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1387, 236779, 9707, 1083, 236743, 236828, 236810, 236764, 623, 2074, 236779, 9707, 1083, 236743, 236812, 236778, 236810, 236764, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 6259, 14253, 496, 236743, 236770, 236810, 236908, 12223, 531, 822, 3019, 236764, 506, 53838, 3385, 2644, 795, 577, 5213, 236795, 236828, 236810, 531, 609, 236812, 236778, 236810, 1018, 568, 38556, 769, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 81084, 567, 66515, 609, 236770, 236771, 236771, 16130, 5213, 236795, 236828, 236810, 1018, 107, 236772, 5213, 91671, 66515, 609, 236810, 236771, 236771, 16130, 5213, 236795, 236812, 236778, 236810, 1018, 107, 236772, 5213, 105318, 33775, 66515, 609, 236778, 236771, 236771, 16130, 5213, 236795, 236770, 236832, 236771, 1018, 108, 2094, 2644, 22606, 822, 21212, 7474, 13128, 1651, 16977, 46407, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 1607, 12223, 11298, 236888, 106, 107, 105, 2364, 107, 8574, 611, 9279, 506, 53838, 3385, 21280, 573, 1156, 236772, 8114, 23548, 607, 496, 236743, 236770, 236771, 236908, 12223, 532, 784, 1806, 3019, 607, 496, 236743, 236778, 236771, 236908, 12223, 236881, 1701, 2591, 236764, 138636, 900, 40383, 236764, 138636, 900, 40675, 236764, 40383, 900, 40675, 236764, 532, 784, 1806, 3075, 236761, 1174, 795, 1601, 786, 3904, 8289, 15663, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1387, 236779, 9707, 1083, 236743, 236819, 236771, 236761, 236771, 236764, 623, 2074, 236779, 9707, 1083, 236743, 236812, 236810, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 103411, 236779, 70343, 1083, 623, 236770, 236771, 70887, 623, 7633, 236779, 47382, 1083, 236743, 236778, 236764, 623, 13308, 1083, 78493, 1201, 1083, 623, 81084, 567, 827, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236771, 236771, 236761, 236771, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236819, 236771, 236761, 236771, 1263, 3714, 1201, 1083, 623, 91671, 827, 623, 17368, 236779, 9707, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236812, 236810, 236771, 236761, 236771, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 91671, 2509, 4188, 827, 623, 236778, 236771, 236908, 53838, 8376, 4188, 14255, 623, 29995, 1083, 3714, 7633, 1083, 623, 41941, 3149, 2509, 4852, 568, 91671, 236768, 532, 21648, 12223, 6224, 573, 8376, 25521, 236761, 40276, 1374, 3204, 3141, 236743, 236770, 236771, 236908, 36498, 532, 496, 236743, 236778, 236771, 236908, 12223, 573, 506, 1806, 236772, 8114, 8376, 1781, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 9707, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236770, 236828, 236771, 236764, 623, 2074, 1083, 236743, 236825, 236800, 236771, 1263, 623, 164690, 1083, 3714, 91671, 900, 40675, 1083, 236743, 236825, 236800, 236771, 236764, 623, 91671, 1083, 236743, 236812, 236810, 236771, 236764, 623, 105318, 1083, 236743, 236770, 236828, 236771, 1263, 623, 27617, 1083, 623, 38556, 827, 623, 103411, 236779, 70343, 1083, 623, 236770, 236771, 236908, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 70343, 524, 236779, 62938, 1083, 78493, 1201, 1083, 623, 81084, 567, 827, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236771, 236771, 236764, 623, 70343, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 9707, 1083, 236743, 236828, 236771, 1263, 3714, 1201, 1083, 623, 91671, 827, 623, 17368, 236779, 9707, 1083, 236743, 236810, 236771, 236771, 236764, 623, 70343, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 9707, 1083, 236743, 236812, 236771, 236771, 1263, 3714, 1201, 1083, 623, 105318, 33775, 827, 623, 17368, 236779, 9707, 1083, 236743, 236778, 236771, 236771, 236764, 623, 70343, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 9707, 1083, 236743, 236770, 236825, 236771, 104960, 623, 6725, 236779, 83168, 236779, 9707, 1083, 236743, 236825, 236812, 236771, 236764, 623, 9707, 236779, 8572, 236779, 164690, 1083, 3714, 13498, 236779, 8114, 236779, 1387, 1083, 236743, 236778, 236812, 236771, 236764, 623, 13498, 236779, 8114, 236779, 2074, 1083, 236743, 236810, 236825, 236771, 236764, 623, 19891, 236779, 8114, 236779, 6725, 1083, 236743, 236825, 236812, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 21212, 3671, 573, 822, 2509, 23548, 236787, 108, 1018, 11634, 236772, 4098, 99252, 568, 236770, 236771, 236908, 66272, 1473, 1018, 107, 236770, 236761, 5213, 81084, 567, 900, 40383, 1018, 138, 107, 139, 236795, 236819, 236771, 568, 81084, 567, 236768, 900, 609, 236812, 236810, 236771, 568, 91671, 236768, 578, 5213, 236795, 236810, 236812, 236771, 2558, 1018, 138, 107, 139, 11280, 2644, 236787, 609, 236819, 236771, 753, 609, 236812, 236810, 236771, 108, 236778, 236761, 5213, 81084, 567, 900, 40675, 1018, 138, 107, 139, 236795, 236819, 236771, 568, 81084, 567, 236768, 900, 609, 236770, 236828, 236771, 568, 105318, 236768, 578, 5213, 236795, 236778, 236832, 236771, 2558, 1018, 138, 107, 139, 11280, 2644, 236787, 609, 236819, 236771, 753, 609, 236770, 236828, 236771, 108, 236800, 236761, 5213, 91671, 900, 40675, 1018, 138, 107, 139, 236795, 236812, 236810, 236771, 568, 91671, 236768, 900, 609, 236770, 236828, 236771, 568, 105318, 236768, 578, 5213, 236795, 236825, 236800, 236771, 2558, 1018, 138, 107, 139, 11280, 2644, 236787, 609, 236770, 236828, 236771, 753, 609, 236812, 236810, 236771, 108, 1018, 19765, 236772, 4098, 33775, 568, 236778, 236771, 236908, 66272, 1473, 1018, 138, 107, 236795, 236828, 236771, 568, 81084, 567, 236768, 900, 609, 236812, 236771, 236771, 568, 91671, 236768, 900, 609, 236770, 236825, 236771, 568, 105318, 236768, 578, 5213, 236795, 236825, 236812, 236771, 2558, 1018, 138, 107, 11280, 2644, 236787, 609, 236828, 236771, 753, 609, 236812, 236771, 236771, 108, 1018, 211199, 53121, 138, 107, 236772, 37058, 784, 1806, 3019, 657, 609, 236825, 236812, 236771, 568, 176498, 609, 236828, 236771, 236771, 236768, 573, 496, 33348, 236743, 236778, 236771, 236908, 15749, 138, 107, 236772, 46816, 141398, 21212, 607, 506, 1156, 236772, 8114, 17489, 6250, 657, 609, 236778, 236832, 236771, 138, 107, 236772, 75133, 496, 3582, 609, 236819, 236771, 7234, 1523, 573, 3141, 66064, 108, 38786, 611, 1133, 786, 531, 6518, 672, 1131, 496, 21212, 2633, 653, 3600, 42527, 11298, 573, 1239, 17489, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 6518, 672, 1131, 496, 21212, 2633, 600, 236789, 236751, 3735, 531, 4024, 607, 7391, 236761, 3199, 611, 992, 3600, 496, 42527, 7545, 600, 23948, 1131, 2263, 15333, 6540, 236881, 564, 236789, 236753, 2765, 531, 27968, 1041, 2765, 573, 14105, 1610, 532, 27249, 1131, 506, 7009, 753, 7463, 2613, 1133, 756, 9175, 1275, 173083, 833, 152502, 54866, 88531, 103709, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 4430, 236772, 2788, 21212, 2633, 532, 36297, 42527, 7545, 236787, 108, 7243, 108, 10354, 5213, 110873, 6274, 236787, 4585, 1275, 173083, 833, 152502, 54866, 88531, 1018, 138, 107, 236909, 5213, 4098, 33775, 1018, 146, 236909, 5213, 30498, 14584, 1018, 1109, 5213, 79137, 1018, 1109, 5213, 17667, 14584, 1018, 1109, 5213, 194122, 1018, 138, 236909, 138, 107, 236909, 2819, 29118, 236909, 2819, 1040, 236909, 29118, 236909, 2819, 119434, 29118, 236909, 138, 107, 236909, 5213, 81084, 567, 10522, 1018, 145, 236909, 609, 236770, 236771, 236771, 151, 236909, 2192, 148, 236909, 609, 236770, 236771, 236771, 148, 236909, 2192, 148, 236909, 138, 107, 236909, 5213, 91671, 10522, 1018, 145, 236909, 609, 236810, 236771, 236771, 151, 236909, 2192, 148, 236909, 609, 236810, 236771, 236771, 148, 236909, 2192, 148, 236909, 138, 107, 236909, 5213, 105318, 10522, 1018, 146, 236909, 609, 236778, 236771, 236771, 151, 236909, 2192, 148, 236909, 609, 236778, 236771, 236771, 148, 236909, 2192, 148, 236909, 138, 107, 236909, 5213, 81084, 567, 900, 40383, 1018, 1109, 609, 236825, 236771, 236771, 151, 236909, 236743, 236770, 236771, 236908, 146, 236909, 609, 236810, 236812, 236771, 148, 236909, 609, 236825, 236771, 146, 236909, 138, 107, 236909, 5213, 81084, 567, 900, 40675, 1018, 138, 236909, 609, 236800, 236771, 236771, 151, 236909, 236743, 236770, 236771, 236908, 146, 236909, 609, 236778, 236832, 236771, 148, 236909, 609, 236800, 236771, 146, 236909, 138, 107, 236909, 5213, 91671, 900, 40675, 1018, 138, 236909, 609, 236832, 236771, 236771, 151, 236909, 236743, 236770, 236771, 236908, 146, 236909, 609, 236825, 236800, 236771, 148, 236909, 609, 236832, 236771, 146, 236909, 138, 107, 236909, 5213, 3243, 14019, 8381, 1018, 144, 236909, 609, 236828, 236771, 236771, 151, 236909, 236743, 236778, 236771, 236908, 146, 236909, 609, 236825, 236812, 236771, 148, 236909, 609, 236770, 236825, 236771, 145, 236909, 138, 108, 7243, 108, 10354, 5213, 21301, 40246, 34428, 236787, 623, 60891, 41025, 62480, 236775, 1018, 138, 107, 236770, 236761, 5213, 236775, 9175, 137276, 40383, 236775, 67653, 1018, 138, 107, 139, 236772, 32300, 607, 496, 2263, 15333, 8325, 531, 2619, 5809, 236772, 77943, 24482, 5012, 2196, 607, 1027, 11764, 8289, 236761, 138, 107, 139, 236772, 19653, 1257, 236787, 165996, 11069, 2033, 34904, 1610, 1275, 1292, 236761, 7167, 614, 11764, 672, 2297, 532, 1769, 2033, 496, 6347, 529, 15333, 1781, 236829, 138, 108, 236778, 236761, 5213, 236775, 18721, 1777, 54866, 37936, 236775, 1018, 138, 107, 139, 236772, 46816, 496, 2196, 623, 67986, 98306, 15806, 236775, 568, 6047, 152502, 206211, 236768, 607, 1027, 9626, 8289, 7408, 236761, 138, 107, 139, 236772, 51199, 236772, 495, 236787, 165996, 27252, 822, 3797, 4710, 7080, 618, 32052, 1709, 237028, 41413, 9626, 3124, 9332, 236829, 138, 108, 236800, 236761, 5213, 236775, 60891, 97510, 26127, 236775, 41044, 1018, 138, 107, 139, 236772, 9793, 496, 236743, 236800, 236771, 236772, 1496, 18214, 1298, 7391, 1015, 4029, 496, 4389, 974, 5213, 236810, 236908, 1135, 910, 2148, 2509, 1018, 568, 624, 506, 4389, 6757, 236743, 236810, 236908, 2311, 42035, 138, 107, 139, 236772, 6890, 10365, 79732, 58442, 15333, 70836, 607, 100264, 1133, 236787, 165996, 144411, 1023, 23789, 528, 65695, 1274, 236764, 6752, 57260, 236764, 532, 6998, 9332, 236829, 138, 108, 236812, 236761, 5213, 236775, 101457, 833, 180943, 236775, 37058, 1018, 138, 107, 139, 236772, 46816, 496, 53838, 22388, 900, 9626, 8289, 32250, 7489, 165996, 36819, 1030, 7672, 236764, 120941, 8224, 9332, 236829, 138, 107, 139, 236772, 12213, 496, 609, 236770, 236771, 7963, 3733, 531, 496, 2263, 9180, 568, 236744, 236761, 236759, 1126, 52192, 236858, 236751, 62879, 653, 669, 50410, 833, 159638, 236768, 607, 1418, 22479, 236761, 138, 108, 236810, 236761, 5213, 46640, 72991, 4585, 1018, 138, 107, 139, 236772, 133857, 496, 30918, 528, 496, 15333, 12960, 18482, 60902, 11764, 236772, 68122, 1610, 568, 236744, 236761, 236759, 1126, 496, 61743, 21735, 1133, 506, 33946, 1883, 9562, 769, 138, 108, 38786, 611, 1133, 786, 531, 12262, 2777, 4009, 12714, 653, 4553, 23693, 531, 1894, 672, 7073, 236881, 236743, 245838, 248850, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 2426, 506, 6524, 31920, 585, 68183, 4668, 573, 24798, 28307, 4867, 11326, 236764, 6412, 1724, 7798, 531, 6327, 45899, 3019, 236761, 5315, 236764, 33205, 506, 1346, 4803, 31920, 585, 4668, 10308, 236764, 1299, 5957, 1091, 531, 1586, 1027, 49326, 70584, 236764, 82896, 236764, 653, 13120, 4596, 531, 4867, 1262, 3797, 236761, 1701, 1546, 7798, 4676, 236764, 5608, 506, 3435, 4652, 1984, 568, 976, 236786, 28602, 236786, 11480, 236768, 531, 4430, 1262, 5052, 528, 1041, 5428, 532, 3600, 83979, 45759, 6555, 236761, 1637, 951, 1288, 10308, 659, 1765, 236764, 2847, 2870, 1791, 10154, 699, 31920, 585, 236858, 15136, 573, 37319, 13719, 4430, 1938, 236761, 41152, 506, 1626, 3938, 27592, 5411, 24798, 684, 33326, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 77167, 585, 43837, 236751, 43669, 130550, 2109, 528, 13118, 47730, 13000, 827, 623, 6011, 1083, 623, 77167, 585, 48429, 815, 8385, 496, 6749, 5743, 236772, 1496, 47688, 568, 166511, 236772, 236778, 236771, 236778, 236810, 236772, 236800, 236812, 236770, 236778, 236768, 528, 5065, 3489, 19257, 14175, 600, 5862, 81013, 531, 31639, 532, 84461, 79691, 236772, 71355, 4867, 16788, 10498, 623, 37716, 236779, 5909, 1083, 623, 11480, 827, 623, 2908, 3981, 236779, 25438, 1083, 11058, 48706, 28316, 36595, 6842, 568, 18700, 573, 3262, 14175, 22730, 623, 78109, 3707, 236772, 7508, 41480, 11734, 827, 623, 147935, 43245, 7257, 580, 784, 4867, 12562, 3797, 14255, 623, 2451, 1083, 623, 2574, 1411, 232629, 585, 236761, 854, 236786, 11205, 236772, 553, 3203, 2794, 236786, 116940, 236772, 206170, 236749, 236772, 236778, 236771, 236778, 236810, 23179, 3714, 3250, 1083, 623, 3586, 7399, 41044, 136994, 20993, 122483, 86010, 607, 43276, 1915, 236772, 4432, 5445, 165822, 827, 623, 6011, 1083, 623, 77167, 585, 67296, 28243, 7248, 496, 26446, 112625, 7073, 87332, 1194, 4867, 42440, 236764, 21295, 5959, 9020, 60399, 531, 36577, 28150, 699, 6327, 45899, 9780, 10498, 623, 37716, 236779, 5909, 1083, 623, 28602, 827, 623, 2908, 3981, 236779, 25438, 1083, 11058, 57874, 4553, 44701, 607, 9691, 7492, 6733, 827, 623, 78109, 5074, 236772, 19385, 31324, 573, 784, 4698, 10789, 827, 623, 147935, 112625, 16496, 4122, 573, 6951, 14255, 623, 2451, 1083, 623, 2574, 1411, 232629, 585, 236761, 854, 236786, 61677, 236772, 44606, 236786, 845, 3070, 236772, 791, 7399, 23179, 3714, 3250, 1083, 623, 77167, 585, 180816, 8890, 62678, 573, 16906, 8381, 827, 623, 6011, 1083, 623, 41778, 236743, 236778, 236771, 236778, 236810, 15700, 573, 24284, 13719, 4867, 1262, 236764, 2440, 15136, 573, 41480, 8443, 236764, 2802, 12239, 236764, 532, 10530, 3072, 6995, 10498, 623, 37716, 236779, 5909, 1083, 623, 28122, 236779, 51995, 831, 827, 623, 2908, 3981, 236779, 25438, 1083, 11058, 235475, 87830, 236772, 236778, 236810, 236825, 41480, 573, 784, 11628, 4430, 1262, 827, 623, 78109, 3198, 236772, 29568, 137477, 2802, 12239, 827, 623, 166062, 35726, 93744, 607, 236743, 236800, 236772, 236778, 236772, 236770, 7545, 14255, 623, 2451, 1083, 623, 2574, 1411, 232629, 585, 236761, 854, 236786, 18892, 236786, 9783, 236772, 178407, 236772, 61054, 236772, 15897, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 124406, 3671, 529, 31920, 585, 68183, 4668, 7798, 531, 6327, 45899, 3019, 236787, 108, 1018, 236770, 236761, 43669, 130550, 2109, 528, 13118, 47730, 13000, 1018, 138, 107, 1018, 71398, 16575, 53121, 4819, 138, 107, 1018, 24355, 53121, 31920, 585, 8385, 496, 5743, 236772, 1496, 47688, 568, 166511, 236772, 236778, 236771, 236778, 236810, 236772, 236800, 236812, 236770, 236778, 236768, 24943, 81013, 531, 84461, 79691, 236772, 71355, 4867, 16788, 236761, 138, 107, 1018, 40348, 3981, 50228, 53121, 138, 107, 236772, 30839, 28316, 36595, 6842, 568, 4256, 31920, 585, 36639, 573, 5058, 236772, 15396, 11808, 236768, 138, 107, 236772, 108074, 3707, 236772, 7508, 41480, 11734, 6436, 138, 107, 236772, 41696, 43245, 7257, 580, 12562, 3797, 2351, 236743, 236800, 236771, 2668, 138, 107, 1018, 9313, 53121, 870, 19120, 31379, 5457, 2574, 1411, 232629, 585, 236761, 854, 236786, 11205, 236772, 553, 3203, 2794, 236786, 116940, 236772, 206170, 236749, 236772, 236778, 236771, 236778, 236810, 236768, 108, 1018, 236778, 236761, 1953, 7399, 41044, 132696, 20993, 122483, 86010, 1018, 138, 107, 1018, 71398, 16575, 53121, 35202, 138, 107, 1018, 24355, 53121, 43276, 1915, 236772, 2906, 5445, 5959, 9020, 60399, 10861, 4323, 40341, 236772, 548, 8269, 567, 24157, 236761, 138, 107, 1018, 40348, 3981, 50228, 53121, 138, 107, 236772, 79993, 531, 9691, 4553, 7492, 6733, 607, 6784, 98296, 138, 107, 236772, 2358, 10270, 5074, 236772, 19385, 31324, 573, 784, 4698, 10789, 138, 107, 236772, 9793, 42688, 112625, 29014, 607, 4698, 138, 107, 1018, 9313, 53121, 870, 210282, 8708, 5457, 2574, 1411, 232629, 585, 236761, 854, 236786, 61677, 236772, 44606, 236786, 845, 3070, 236772, 791, 7399, 236768, 108, 1018, 14947, 8890, 62678, 573, 19908, 5774, 18157, 1018, 138, 107, 77167, 585, 37414, 236787, 138, 107, 236772, 87830, 236772, 236778, 236810, 236825, 41480, 573, 784, 4430, 8735, 568, 81638, 532, 528, 28048, 236768, 138, 107, 236772, 132180, 236772, 29568, 137477, 2802, 12239, 607, 2702, 236772, 78067, 79880, 138, 107, 236772, 236743, 236800, 236772, 236778, 236772, 236770, 21609, 7545, 568, 236800, 16258, 236764, 236743, 236778, 4009, 4458, 236764, 236743, 236770, 35726, 236768, 138, 107, 236772, 870, 13973, 54442, 5457, 2574, 1411, 232629, 585, 236761, 854, 236786, 18892, 236786, 9783, 236772, 178407, 236772, 61054, 236772, 15897, 236768, 108, 1018, 4396, 59193, 53121, 15874, 506, 1494, 236772, 37716, 47688, 1171, 684, 16329, 822, 19257, 5058, 236789, 236751, 19126, 4981, 236764, 1299, 4144, 506, 7860, 236772, 37716, 112625, 57035, 847, 236761, 669, 2870, 10154, 1374, 577, 13148, 1131, 822, 14335, 5052, 1948, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 2426, 506, 6524, 31920, 585, 68183, 4668, 573, 24798, 28307, 4867, 11326, 236764, 6412, 1724, 7798, 531, 6327, 45899, 3019, 236761, 5315, 236764, 33205, 506, 1346, 4803, 31920, 585, 4668, 10308, 236764, 1299, 5957, 1091, 531, 1586, 1027, 49326, 70584, 236764, 82896, 236764, 653, 13120, 4596, 531, 4867, 1262, 3797, 236761, 1701, 1546, 7798, 4676, 236764, 5608, 506, 3435, 4652, 1984, 568, 976, 236786, 28602, 236786, 11480, 236768, 531, 4430, 1262, 5052, 528, 1041, 5428, 532, 3600, 83979, 45759, 6555, 236761, 1637, 951, 1288, 10308, 659, 1765, 236764, 2847, 2870, 1791, 10154, 699, 31920, 585, 236858, 15136, 573, 37319, 13719, 4430, 1938, 236761, 41152, 506, 1626, 3938, 27592, 5411, 24798, 684, 33326, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 77167, 585, 43837, 236751, 43669, 130550, 2109, 528, 13118, 47730, 13000, 827, 623, 6011, 1083, 623, 77167, 585, 48429, 815, 8385, 496, 6749, 5743, 236772, 1496, 47688, 568, 166511, 236772, 236778, 236771, 236778, 236810, 236772, 236800, 236812, 236770, 236778, 236768, 528, 5065, 3489, 19257, 14175, 600, 5862, 81013, 531, 31639, 532, 84461, 79691, 236772, 71355, 4867, 16788, 10498, 623, 37716, 236779, 5909, 1083, 623, 11480, 827, 623, 2908, 3981, 236779, 25438, 1083, 11058, 48706, 28316, 36595, 6842, 568, 18700, 573, 3262, 14175, 22730, 623, 78109, 3707, 236772, 7508, 41480, 11734, 827, 623, 147935, 43245, 7257, 580, 784, 4867, 12562, 3797, 14255, 623, 2451, 1083, 623, 2574, 1411, 232629, 585, 236761, 854, 236786, 11205, 236772, 553, 3203, 2794, 236786, 116940, 236772, 206170, 236749, 236772, 236778, 236771, 236778, 236810, 23179, 3714, 3250, 1083, 623, 3586, 7399, 41044, 136994, 20993, 122483, 86010, 607, 43276, 1915, 236772, 4432, 5445, 165822, 827, 623, 6011, 1083, 623, 77167, 585, 67296, 28243, 7248, 496, 26446, 112625, 7073, 87332, 1194, 4867, 42440, 236764, 21295, 5959, 9020, 60399, 531, 36577, 28150, 699, 6327, 45899, 9780, 10498, 623, 37716, 236779, 5909, 1083, 623, 28602, 827, 623, 2908, 3981, 236779, 25438, 1083, 11058, 57874, 4553, 44701, 607, 9691, 7492, 6733, 827, 623, 78109, 5074, 236772, 19385, 31324, 573, 784, 4698, 10789, 827, 623, 147935, 112625, 16496, 4122, 573, 6951, 14255, 623, 2451, 1083, 623, 2574, 1411, 232629, 585, 236761, 854, 236786, 61677, 236772, 44606, 236786, 845, 3070, 236772, 791, 7399, 23179, 3714, 3250, 1083, 623, 77167, 585, 180816, 8890, 62678, 573, 16906, 8381, 827, 623, 6011, 1083, 623, 41778, 236743, 236778, 236771, 236778, 236810, 15700, 573, 24284, 13719, 4867, 1262, 236764, 2440, 15136, 573, 41480, 8443, 236764, 2802, 12239, 236764, 532, 10530, 3072, 6995, 10498, 623, 37716, 236779, 5909, 1083, 623, 28122, 236779, 51995, 831, 827, 623, 2908, 3981, 236779, 25438, 1083, 11058, 235475, 87830, 236772, 236778, 236810, 236825, 41480, 573, 784, 11628, 4430, 1262, 827, 623, 78109, 3198, 236772, 29568, 137477, 2802, 12239, 827, 623, 166062, 35726, 93744, 607, 236743, 236800, 236772, 236778, 236772, 236770, 7545, 14255, 623, 2451, 1083, 623, 2574, 1411, 232629, 585, 236761, 854, 236786, 18892, 236786, 9783, 236772, 178407, 236772, 61054, 236772, 15897, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 124406, 3671, 529, 31920, 585, 68183, 4668, 7798, 531, 6327, 45899, 3019, 236787, 108, 1018, 236770, 236761, 43669, 130550, 2109, 528, 13118, 47730, 13000, 1018, 138, 107, 1018, 71398, 16575, 53121, 4819, 138, 107, 1018, 24355, 53121, 31920, 585, 8385, 496, 5743, 236772, 1496, 47688, 568, 166511, 236772, 236778, 236771, 236778, 236810, 236772, 236800, 236812, 236770, 236778, 236768, 24943, 81013, 531, 84461, 79691, 236772, 71355, 4867, 16788, 236761, 138, 107, 1018, 40348, 3981, 50228, 53121, 138, 107, 236772, 30839, 28316, 36595, 6842, 568, 4256, 31920, 585, 36639, 573, 5058, 236772, 15396, 11808, 236768, 138, 107, 236772, 108074, 3707, 236772, 7508, 41480, 11734, 6436, 138, 107, 236772, 41696, 43245, 7257, 580, 12562, 3797, 2351, 236743, 236800, 236771, 2668, 138, 107, 1018, 9313, 53121, 870, 19120, 31379, 5457, 2574, 1411, 232629, 585, 236761, 854, 236786, 11205, 236772, 553, 3203, 2794, 236786, 116940, 236772, 206170, 236749, 236772, 236778, 236771, 236778, 236810, 236768, 108, 1018, 236778, 236761, 1953, 7399, 41044, 132696, 20993, 122483, 86010, 1018, 138, 107, 1018, 71398, 16575, 53121, 35202, 138, 107, 1018, 24355, 53121, 43276, 1915, 236772, 2906, 5445, 5959, 9020, 60399, 10861, 4323, 40341, 236772, 548, 8269, 567, 24157, 236761, 138, 107, 1018, 40348, 3981, 50228, 53121, 138, 107, 236772, 79993, 531, 9691, 4553, 7492, 6733, 607, 6784, 98296, 138, 107, 236772, 2358, 10270, 5074, 236772, 19385, 31324, 573, 784, 4698, 10789, 138, 107, 236772, 9793, 42688, 112625, 29014, 607, 4698, 138, 107, 1018, 9313, 53121, 870, 210282, 8708, 5457, 2574, 1411, 232629, 585, 236761, 854, 236786, 61677, 236772, 44606, 236786, 845, 3070, 236772, 791, 7399, 236768, 108, 1018, 14947, 8890, 62678, 573, 19908, 5774, 18157, 1018, 138, 107, 77167, 585, 37414, 236787, 138, 107, 236772, 87830, 236772, 236778, 236810, 236825, 41480, 573, 784, 4430, 8735, 568, 81638, 532, 528, 28048, 236768, 138, 107, 236772, 132180, 236772, 29568, 137477, 2802, 12239, 607, 2702, 236772, 78067, 79880, 138, 107, 236772, 236743, 236800, 236772, 236778, 236772, 236770, 21609, 7545, 568, 236800, 16258, 236764, 236743, 236778, 4009, 4458, 236764, 236743, 236770, 35726, 236768, 138, 107, 236772, 870, 13973, 54442, 5457, 2574, 1411, 232629, 585, 236761, 854, 236786, 18892, 236786, 9783, 236772, 178407, 236772, 61054, 236772, 15897, 236768, 108, 1018, 4396, 59193, 53121, 15874, 506, 1494, 236772, 37716, 47688, 1171, 684, 16329, 822, 19257, 5058, 236789, 236751, 19126, 4981, 236764, 1299, 4144, 506, 7860, 236772, 37716, 112625, 57035, 847, 236761, 669, 2870, 10154, 1374, 577, 13148, 1131, 822, 14335, 5052, 1948, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 169386, 236764, 496, 133725, 1590, 528, 54866, 236761, 564, 236789, 236757, 719, 32599, 3972, 236772, 4256, 1041, 6596, 573, 496, 6213, 236789, 236751, 10935, 73333, 3136, 237028, 10825, 1246, 577, 18997, 236764, 570, 236789, 32042, 236881, 669, 6581, 236789, 236751, 568, 236847, 236829, 236796, 9805, 236774, 1298, 782, 563, 236743, 236770, 236771, 236771, 236771, 55293, 236764, 622, 563, 236743, 236770, 236810, 549, 1220, 236786, 27689, 236764, 532, 558, 236789, 236751, 236743, 236770, 236778, 236771, 4310, 236761, 3199, 611, 13901, 600, 5619, 573, 786, 236881, 564, 236789, 236753, 17554, 531, 6232, 872, 506, 4945, 580, 506, 3195, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 818, 10935, 73333, 3136, 14988, 563, 5213, 236770, 236778, 236810, 17221, 810, 9641, 568, 236759, 1220, 236786, 1387, 62902, 236761, 236743, 108, 2094, 563, 11233, 699, 506, 6581, 236787, 138, 107, 177906, 236847, 15666, 622, 236768, 965, 558, 578, 568, 236770, 236771, 236771, 236771, 55293, 15666, 236743, 236770, 236810, 549, 1220, 236786, 27689, 236768, 965, 236743, 236770, 236778, 236771, 4310, 578, 236743, 236770, 236778, 236810, 549, 1220, 236786, 1387, 84750, 138, 108, 14950, 236772, 22011, 532, 10778, 237028, 17993, 6596, 563, 7075, 236772, 498, 236888, 30164, 532, 18997, 981, 236764, 169386, 236761, 103453, 106, 107, 105, 2364, 107, 8574, 611, 18855, 506, 23093, 5619, 564, 1456, 573, 506, 10935, 73333, 3136, 236881, 1030, 236789, 236751, 568, 236847, 236829, 236796, 9805, 236774, 237028, 4017, 44534, 1386, 2889, 506, 33413, 563, 3980, 1680, 564, 4903, 625, 528, 506, 6213, 236789, 236751, 9535, 236761, 1599, 1281, 1217, 564, 1006, 1003, 3978, 506, 4889, 1447, 236888, 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, 818, 23093, 5619, 5213, 179914, 236847, 236829, 236796, 9805, 236774, 236929, 1018, 563, 5213, 4730, 1018, 236888, 113452, 138, 108, 1509, 15195, 6178, 62334, 573, 1900, 529, 6675, 236764, 4077, 27104, 20442, 236829, 59740, 532, 11247, 20442, 236786, 18833, 33413, 236761, 5180, 23571, 563, 3980, 532, 96205, 5057, 237028, 50936, 573, 13049, 528, 506, 6213, 236858, 236751, 9535, 236761, 138, 108, 20418, 3195, 19447, 105338, 236764, 169386, 236888, 236743, 255823, 239794, 106, 107, 105, 2364, 107, 59591, 20287, 236764, 611, 236789, 500, 496, 9052, 19356, 595, 236888, 5612, 692, 3016, 10778, 506, 4945, 568, 236847, 236784, 236770, 236771, 236771, 236771, 236764, 622, 236784, 236770, 236810, 236764, 558, 236784, 236770, 236778, 236771, 779, 1451, 611, 30091, 506, 5619, 5213, 236769, 236770, 236771, 236771, 236771, 236829, 236770, 236810, 9805, 236770, 236778, 236771, 1018, 1699, 600, 4453, 1550, 1076, 236881, 564, 44534, 1460, 625, 7005, 531, 506, 205283, 1548, 573, 1041, 9535, 237028, 1904, 28149, 16271, 236764, 1164, 506, 14529, 6596, 236761, 1599, 1281, 1217, 564, 17554, 55464, 48365, 236888, 222194, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 818, 32741, 1354, 529, 5213, 179914, 236770, 236771, 236771, 236771, 236829, 236770, 236810, 9805, 236770, 236778, 236771, 236929, 1018, 563, 5213, 236770, 236778, 236810, 84750, 138, 108, 3771, 4481, 16271, 653, 6555, 237028, 4017, 506, 3980, 236764, 1626, 1548, 611, 1202, 573, 822, 9535, 236761, 113452, 138, 108, 3048, 236858, 500, 784, 1076, 236764, 169386, 237028, 43081, 1133, 23149, 563, 3217, 4399, 5210, 611, 236761, 236743, 242283, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 169386, 236764, 496, 133725, 1590, 528, 54866, 236761, 564, 236789, 236757, 719, 32599, 3972, 236772, 4256, 1041, 6596, 573, 496, 6213, 236789, 236751, 10935, 73333, 3136, 237028, 10825, 1246, 577, 18997, 236764, 570, 236789, 32042, 236881, 669, 6581, 236789, 236751, 568, 236847, 236829, 236796, 9805, 236774, 1298, 782, 563, 236743, 236770, 236771, 236771, 236771, 55293, 236764, 622, 563, 236743, 236770, 236810, 549, 1220, 236786, 27689, 236764, 532, 558, 236789, 236751, 236743, 236770, 236778, 236771, 4310, 236761, 3199, 611, 13901, 600, 5619, 573, 786, 236881, 564, 236789, 236753, 17554, 531, 6232, 872, 506, 4945, 580, 506, 3195, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 818, 10935, 73333, 3136, 14988, 563, 5213, 236770, 236778, 236810, 17221, 810, 9641, 568, 236759, 1220, 236786, 1387, 62902, 236761, 236743, 108, 2094, 563, 11233, 699, 506, 6581, 236787, 138, 107, 177906, 236847, 15666, 622, 236768, 965, 558, 578, 568, 236770, 236771, 236771, 236771, 55293, 15666, 236743, 236770, 236810, 549, 1220, 236786, 27689, 236768, 965, 236743, 236770, 236778, 236771, 4310, 578, 236743, 236770, 236778, 236810, 549, 1220, 236786, 1387, 84750, 138, 108, 14950, 236772, 22011, 532, 10778, 237028, 17993, 6596, 563, 7075, 236772, 498, 236888, 30164, 532, 18997, 981, 236764, 169386, 236761, 103453, 106, 107, 105, 2364, 107, 8574, 611, 18855, 506, 23093, 5619, 564, 1456, 573, 506, 10935, 73333, 3136, 236881, 1030, 236789, 236751, 568, 236847, 236829, 236796, 9805, 236774, 237028, 4017, 44534, 1386, 2889, 506, 33413, 563, 3980, 1680, 564, 4903, 625, 528, 506, 6213, 236789, 236751, 9535, 236761, 1599, 1281, 1217, 564, 1006, 1003, 3978, 506, 4889, 1447, 236888, 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, 818, 23093, 5619, 5213, 179914, 236847, 236829, 236796, 9805, 236774, 236929, 1018, 563, 5213, 4730, 1018, 236888, 113452, 138, 108, 1509, 15195, 6178, 62334, 573, 1900, 529, 6675, 236764, 4077, 27104, 20442, 236829, 59740, 532, 11247, 20442, 236786, 18833, 33413, 236761, 5180, 23571, 563, 3980, 532, 96205, 5057, 237028, 50936, 573, 13049, 528, 506, 6213, 236858, 236751, 9535, 236761, 138, 108, 20418, 3195, 19447, 105338, 236764, 169386, 236888, 236743, 255823, 239794, 106, 107, 105, 2364, 107, 59591, 20287, 236764, 611, 236789, 500, 496, 9052, 19356, 595, 236888, 5612, 692, 3016, 10778, 506, 4945, 568, 236847, 236784, 236770, 236771, 236771, 236771, 236764, 622, 236784, 236770, 236810, 236764, 558, 236784, 236770, 236778, 236771, 779, 1451, 611, 30091, 506, 5619, 5213, 236769, 236770, 236771, 236771, 236771, 236829, 236770, 236810, 9805, 236770, 236778, 236771, 1018, 1699, 600, 4453, 1550, 1076, 236881, 564, 44534, 1460, 625, 7005, 531, 506, 205283, 1548, 573, 1041, 9535, 237028, 1904, 28149, 16271, 236764, 1164, 506, 14529, 6596, 236761, 1599, 1281, 1217, 564, 17554, 55464, 48365, 236888, 222194, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 818, 32741, 1354, 529, 5213, 179914, 236770, 236771, 236771, 236771, 236829, 236770, 236810, 9805, 236770, 236778, 236771, 236929, 1018, 563, 5213, 236770, 236778, 236810, 84750, 138, 108, 3771, 4481, 16271, 653, 6555, 237028, 4017, 506, 3980, 236764, 1626, 1548, 611, 1202, 573, 822, 9535, 236761, 113452, 138, 108, 3048, 236858, 500, 784, 1076, 236764, 169386, 237028, 43081, 1133, 23149, 563, 3217, 4399, 5210, 611, 236761, 236743, 242283, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 32187, 1070, 25852, 11463, 4876, 699, 506, 3399, 7972, 1298, 564, 24564, 236761, 1191, 236789, 500, 6250, 496, 26648, 1610, 1948, 1699, 3756, 85638, 236764, 532, 506, 6485, 659, 6807, 20973, 16746, 236761, 3199, 611, 1845, 506, 751, 69861, 22449, 9299, 236789, 236751, 974, 236779, 712, 1292, 580, 1239, 4876, 236881, 564, 1202, 3582, 5933, 15241, 2536, 607, 10805, 14900, 531, 10741, 768, 692, 740, 5383, 506, 6485, 653, 1202, 531, 9883, 1091, 236761, 6542, 236764, 1451, 611, 8082, 1144, 1546, 5933, 2820, 573, 1023, 1610, 2203, 34315, 236881, 3551, 2299, 236789, 236751, 44055, 580, 1239, 6485, 573, 1023, 2148, 18669, 3605, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 114555, 1083, 623, 68480, 2376, 656, 568, 3586, 3065, 3750, 65045, 125671, 743, 22730, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 85038, 567, 1083, 623, 21848, 9034, 6895, 6842, 236761, 30839, 14561, 236772, 5140, 217007, 2351, 236743, 236812, 236828, 3885, 236761, 44812, 1149, 577, 89741, 742, 573, 38161, 45248, 768, 13482, 563, 36297, 10498, 623, 62580, 236779, 498, 236779, 661, 236779, 6201, 1083, 623, 179880, 607, 9875, 38821, 740, 2036, 6422, 3826, 85638, 236761, 27468, 18669, 2351, 236743, 236800, 2668, 1680, 3342, 17538, 1781, 236783, 107, 14937, 114555, 1083, 623, 144438, 57620, 895, 568, 32185, 236874, 22730, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 85038, 567, 1083, 623, 4602, 48066, 22458, 6485, 236761, 26295, 573, 37760, 9935, 236761, 14066, 23612, 6485, 768, 861, 3877, 3831, 10684, 10498, 623, 62580, 236779, 498, 236779, 661, 236779, 6201, 1083, 623, 192881, 13482, 17707, 112242, 3004, 236761, 22282, 77372, 45248, 106390, 6895, 573, 28239, 85638, 236761, 36851, 236743, 236778, 236772, 14808, 10941, 2846, 1680, 2148, 14919, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 5933, 3671, 2536, 573, 822, 25852, 6895, 236787, 108, 236770, 236761, 5213, 68480, 2376, 656, 568, 3586, 3065, 3750, 65045, 125671, 743, 62902, 138, 107, 139, 236772, 5213, 229806, 27242, 66515, 236743, 236819, 236778, 236908, 138, 107, 139, 236772, 5213, 211199, 66515, 22221, 9034, 6895, 6842, 532, 5510, 14561, 236772, 5140, 217007, 2351, 236743, 236812, 236828, 3885, 236761, 44812, 1149, 2036, 577, 89741, 742, 573, 38161, 45248, 768, 506, 13482, 563, 36297, 236761, 138, 107, 139, 236772, 5213, 66207, 580, 4585, 7879, 66515, 138, 107, 141, 179880, 607, 9875, 38821, 740, 6422, 3826, 85638, 236761, 27468, 822, 18669, 2351, 5213, 236800, 2668, 1018, 531, 1161, 1239, 6895, 1680, 17538, 71863, 236761, 138, 108, 236778, 236761, 5213, 144438, 57620, 895, 568, 32185, 236874, 62902, 138, 107, 139, 236772, 5213, 229806, 27242, 66515, 236743, 236832, 236828, 236908, 138, 107, 139, 236772, 5213, 211199, 66515, 2375, 48066, 22458, 6485, 532, 7020, 573, 37760, 9935, 236761, 44635, 6485, 768, 861, 3877, 3831, 10684, 236761, 138, 107, 139, 236772, 5213, 66207, 580, 4585, 7879, 66515, 138, 107, 141, 192881, 13482, 17707, 112242, 3004, 236761, 22282, 77372, 45248, 5213, 527, 20357, 15471, 6895, 1018, 573, 28239, 85638, 236761, 36851, 496, 5213, 236778, 236772, 14808, 10941, 2846, 1018, 1680, 506, 2148, 14919, 531, 5571, 3342, 6422, 3967, 236761, 138, 108, 10354, 10659, 9620, 236787, 138, 107, 236772, 6890, 6895, 607, 9875, 35588, 2376, 656, 38821, 573, 13258, 38161, 23680, 568, 49426, 236743, 236800, 2668, 769, 138, 107, 236772, 3725, 6307, 35971, 22458, 6895, 532, 2980, 506, 6485, 531, 5001, 7028, 236761, 138, 107, 236772, 1701, 32985, 236874, 236764, 3213, 580, 7644, 236772, 18985, 6895, 532, 2731, 496, 1500, 236772, 1048, 14919, 1308, 236743, 236778, 5695, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 919, 4876, 653, 37386, 506, 4269, 6555, 236881, 5180, 34315, 30981, 1374, 2514, 506, 18669, 580, 4087, 1651, 16011, 506, 6485, 236888, 236743, 243536, 245838, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 25890, 236888, 3792, 786, 6253, 1023, 18669, 10368, 2721, 580, 506, 236743, 236800, 236772, 1496, 4771, 573, 35588, 2376, 656, 85638, 236761, 3199, 611, 1601, 786, 56856, 837, 6485, 531, 2980, 7728, 236761, 14919, 1171, 236881, 6542, 236764, 1451, 611, 4071, 236772, 30449, 506, 32985, 236874, 10805, 6317, 568, 236832, 236828, 11376, 607, 1027, 1262, 1003, 1217, 6077, 106390, 6895, 2473, 1668, 10684, 236881, 564, 1202, 531, 35820, 506, 7972, 9769, 531, 1531, 775, 2514, 506, 22458, 6485, 573, 1492, 2338, 692, 236858, 500, 2822, 580, 5417, 236761, 7062, 236764, 532, 776, 1724, 14561, 217007, 15136, 5510, 531, 10293, 49115, 8443, 236881, 669, 3399, 7972, 5238, 10346, 28597, 236772, 18865, 28463, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 531, 4313, 822, 28304, 532, 4137, 236787, 108, 10354, 5213, 236770, 236761, 15748, 22282, 217361, 1018, 138, 107, 236772, 5213, 81009, 5315, 66515, 44812, 607, 5213, 68480, 2376, 656, 1018, 568, 236819, 236778, 236908, 10805, 769, 30235, 580, 16011, 1239, 607, 223518, 532, 14919, 9034, 6895, 808, 175401, 236829, 573, 85638, 236761, 138, 107, 236772, 5213, 137187, 5315, 66515, 44812, 607, 5213, 32185, 236874, 1018, 568, 236832, 236828, 236908, 10805, 236768, 1374, 577, 5213, 3419, 509, 2926, 125546, 711, 9050, 236761, 22282, 77372, 45248, 106390, 6895, 573, 85638, 1492, 236764, 618, 10684, 1149, 1769, 5695, 531, 3196, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 32985, 236874, 219565, 5774, 1018, 138, 107, 818, 236743, 236832, 236828, 236908, 10805, 6317, 573, 32985, 236874, 12205, 2653, 13482, 236764, 840, 106390, 6895, 1149, 4595, 46810, 236772, 6796, 573, 5213, 236778, 236964, 236812, 5695, 1018, 1208, 12567, 3439, 568, 23920, 11139, 236764, 16111, 1813, 769, 43378, 913, 1133, 5387, 653, 29811, 36384, 46810, 2913, 236761, 1174, 5021, 611, 496, 5213, 236778, 236772, 14808, 11345, 1018, 531, 1161, 7644, 236772, 18985, 6895, 1680, 38702, 531, 35213, 634, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 48906, 102443, 17973, 833, 37330, 31022, 1018, 138, 107, 127749, 236772, 5140, 223518, 568, 236744, 236761, 236759, 1126, 64332, 11711, 236768, 659, 5213, 126029, 10833, 1018, 573, 10293, 49115, 236764, 840, 2426, 822, 7972, 236858, 236751, 3530, 28463, 236787, 138, 107, 236772, 5213, 70242, 768, 66515, 107413, 684, 506, 37330, 26810, 9352, 7955, 568, 4206, 5610, 236768, 532, 6055, 3894, 531, 5346, 11808, 236761, 138, 107, 236772, 5213, 158118, 66515, 39874, 197016, 568, 4881, 2016, 9295, 36260, 236768, 532, 5330, 625, 236858, 236751, 18944, 607, 822, 7972, 236858, 236751, 28597, 236772, 18289, 8112, 236761, 138, 108, 7243, 108, 10354, 5213, 29860, 212194, 34428, 573, 506, 8171, 1018, 138, 107, 236772, 4075, 9042, 969, 506, 5213, 236778, 236772, 14808, 4771, 1018, 573, 32985, 236874, 6895, 531, 89741, 5417, 236761, 138, 107, 236772, 1255, 3518, 103123, 22458, 6485, 532, 221355, 1091, 531, 38161, 45248, 1651, 11734, 573, 12778, 10684, 236761, 138, 107, 236772, 118189, 600, 14561, 217007, 100146, 607, 10293, 10154, 808, 584, 236829, 6055, 103432, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 15523, 573, 506, 9769, 653, 32187, 4767, 4876, 236881, 178829, 250861, 238178, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 600, 9769, 15523, 236888, 12213, 1239, 2307, 3298, 236787, 753, 5213, 38370, 9086, 66515, 35588, 2376, 656, 7087, 13258, 2970, 568, 39314, 17973, 900, 14919, 2351, 236743, 236800, 2668, 236768, 531, 89741, 85638, 236761, 753, 5213, 32185, 236874, 89254, 66515, 1773, 20357, 15471, 6895, 735, 496, 236743, 236778, 236964, 236812, 2069, 46810, 236772, 6796, 4771, 236764, 6295, 775, 496, 6338, 2846, 531, 6196, 5417, 236761, 753, 5213, 99969, 63040, 66515, 104574, 600, 692, 236858, 859, 1161, 69261, 5610, 236772, 59849, 14561, 217007, 568, 236744, 236761, 236759, 1126, 64332, 11711, 236768, 147535, 236764, 31983, 9295, 36260, 236761, 753, 5213, 120104, 9620, 66515, 1255, 3518, 16789, 17507, 580, 32985, 236874, 6485, 531, 6349, 35971, 22458, 6895, 131526, 2232, 236761, 6542, 236764, 1451, 611, 8091, 1027, 2958, 580, 1217, 32985, 236874, 19375, 38161, 3325, 808, 15849, 236829, 11325, 10684, 236881, 564, 1202, 1262, 531, 22165, 600, 3649, 236772, 48828, 524, 32985, 236874, 6895, 2810, 236858, 236745, 32963, 1023, 1610, 14767, 236761, 13472, 236764, 3600, 496, 21609, 2731, 768, 506, 9769, 83866, 10264, 22458, 6485, 237028, 60766, 496, 1694, 529, 9302, 38161, 7021, 699, 1032, 7972, 20859, 236881, 106, 107, 105, 4368, 107, 1018, 88293, 105971, 573, 19871, 8171, 84702, 1018, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 13996, 9086, 236787, 113970, 10659, 573, 35588, 2376, 656, 1018, 138, 107, 236772, 5213, 66748, 66515, 35588, 2376, 656, 568, 236819, 236778, 236908, 10805, 236768, 563, 22074, 30272, 532, 740, 9867, 47738, 2351, 2668, 236761, 138, 107, 236772, 5213, 4396, 9620, 66515, 138, 107, 138, 236772, 30839, 5213, 4206, 5610, 236772, 59849, 14561, 217007, 568, 236744, 236761, 236759, 1126, 64332, 11711, 62902, 531, 22458, 6485, 2351, 236743, 236812, 236828, 3885, 236761, 138, 107, 138, 236772, 56846, 9034, 6895, 6842, 573, 38161, 23680, 568, 234241, 573, 236743, 236800, 2668, 1680, 17538, 57346, 1091, 157417, 769, 138, 107, 236772, 5213, 224693, 66515, 28664, 1283, 5417, 573, 506, 18669, 1651, 25869, 113455, 7028, 531, 7644, 6485, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 32985, 236874, 89254, 236787, 30164, 50410, 658, 56846, 28405, 1018, 138, 107, 236772, 5213, 66748, 66515, 32985, 236874, 568, 236832, 236828, 236908, 10805, 236768, 17707, 112242, 840, 3831, 951, 11325, 10684, 3819, 236761, 138, 107, 236772, 5213, 4396, 9620, 66515, 138, 107, 138, 236772, 56846, 5213, 527, 20357, 15471, 32985, 236874, 236772, 30558, 6895, 1018, 1492, 573, 38161, 1161, 236761, 138, 107, 138, 236772, 26295, 6485, 16789, 236793, 6349, 6895, 607, 37760, 9935, 653, 7070, 522, 236761, 138, 107, 236772, 5213, 2100, 12730, 66515, 138, 107, 138, 236772, 32985, 236874, 236772, 60697, 6485, 1149, 1407, 10684, 5213, 236778, 236964, 236812, 5695, 1868, 236772, 63278, 125546, 10167, 580, 4022, 532, 5013, 236761, 138, 107, 138, 236772, 5213, 3695, 236772, 236751, 20357, 542, 4100, 580, 85638, 66515, 14419, 1407, 32985, 236874, 17707, 112242, 3004, 684, 5213, 236770, 236810, 236964, 236800, 236771, 236908, 1018, 1581, 1680, 11325, 10684, 568, 6265, 236787, 808, 56003, 86391, 9186, 30237, 236743, 236778, 236771, 236778, 236771, 779, 840, 672, 2036, 15741, 54089, 3826, 85638, 573, 1610, 236761, 21107, 14919, 22606, 506, 7310, 38161, 3325, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 37330, 63040, 1018, 138, 107, 236772, 5213, 127749, 102443, 17973, 6890, 66515, 138, 107, 138, 236772, 64332, 11711, 563, 69261, 5610, 236772, 34807, 532, 6338, 573, 10293, 3797, 1056, 6055, 147535, 236761, 138, 107, 138, 236772, 30839, 1186, 531, 22458, 6485, 236764, 31983, 30260, 128067, 531, 5001, 9295, 36260, 236761, 138, 107, 236772, 5213, 221962, 66515, 2301, 22615, 21579, 795, 577, 1456, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 45325, 9620, 573, 32985, 236874, 44812, 1018, 138, 107, 236772, 5213, 97850, 58711, 66515, 22221, 6895, 607, 37760, 9935, 653, 69008, 531, 5111, 10625, 7028, 236761, 138, 107, 236772, 5213, 1584, 522, 1895, 66515, 1637, 1890, 236810, 236771, 236908, 529, 32985, 236874, 6485, 1407, 12778, 10684, 236764, 9883, 1091, 607, 21609, 20859, 568, 4041, 3426, 769, 138, 108, 7243, 108, 10354, 5213, 26917, 25252, 236787, 32985, 236874, 532, 50410, 658, 19779, 1018, 138, 107, 236772, 5213, 3503, 52653, 66515, 32985, 236874, 191905, 151412, 2913, 236764, 40689, 112242, 840, 711, 40912, 85638, 11716, 236761, 562, 236743, 236778, 236771, 236778, 236770, 2748, 14083, 29399, 529, 32229, 144616, 17616, 1765, 236787, 138, 107, 138, 236772, 5213, 3695, 236772, 236751, 20357, 542, 6895, 66515, 5578, 662, 236743, 236832, 236771, 236964, 236828, 236810, 236908, 529, 3867, 112242, 4535, 236761, 138, 107, 138, 236772, 5213, 7118, 236772, 236751, 20357, 542, 6895, 66515, 59201, 54040, 17221, 531, 236743, 236800, 236771, 236964, 236812, 236771, 10014, 13471, 38161, 223750, 236761, 138, 107, 236772, 5213, 30792, 66515, 228441, 32985, 236874, 6895, 808, 15849, 236829, 10684, 22606, 20626, 38161, 3325, 573, 506, 18669, 236761, 138, 108, 7243, 108, 10354, 5213, 45555, 9620, 236787, 48806, 50410, 658, 49174, 1018, 138, 107, 2859, 22458, 6485, 1921, 577, 8476, 236764, 1590, 659, 4592, 236772, 49809, 236764, 1494, 236772, 44054, 658, 24277, 236787, 138, 107, 236770, 236761, 5213, 67619, 813, 1018, 568, 17224, 1473, 44096, 528, 236743, 236825, 5695, 236793, 1494, 112242, 1581, 528, 1944, 6895, 236761, 138, 107, 236778, 236761, 5213, 3912, 1713, 1018, 568, 9264, 236786, 61133, 1473, 85454, 1769, 236743, 236828, 5695, 236764, 840, 6895, 6422, 9514, 85638, 6842, 236761, 138, 107, 236800, 236761, 5213, 9585, 554, 3601, 1018, 568, 37154, 236786, 51512, 1473, 8805, 1294, 5508, 528, 236743, 236812, 5695, 236793, 951, 5933, 4652, 236761, 138, 107, 236812, 236761, 5213, 9264, 565, 129113, 1018, 568, 61133, 236786, 16520, 1473, 79765, 6895, 740, 577, 45869, 528, 236743, 236825, 5695, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 78346, 580, 99933, 506, 4269, 236786, 48828, 2731, 236761, 138, 107, 236778, 236761, 27468, 496, 24564, 2434, 573, 217007, 3739, 532, 11463, 45248, 236761, 138, 107, 236800, 236761, 55630, 496, 32985, 236874, 11734, 2080, 573, 16789, 12496, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 672, 15523, 3342, 653, 2847, 54352, 573, 506, 2958, 6950, 236881, 236743, 243536, 244878, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1601, 32187, 1070, 25852, 11463, 4876, 699, 506, 3399, 7972, 1298, 564, 24564, 236761, 1191, 236789, 500, 6250, 496, 26648, 1610, 1948, 1699, 3756, 85638, 236764, 532, 506, 6485, 659, 6807, 20973, 16746, 236761, 3199, 611, 1845, 506, 751, 69861, 22449, 9299, 236789, 236751, 974, 236779, 712, 1292, 580, 1239, 4876, 236881, 564, 1202, 3582, 5933, 15241, 2536, 607, 10805, 14900, 531, 10741, 768, 692, 740, 5383, 506, 6485, 653, 1202, 531, 9883, 1091, 236761, 6542, 236764, 1451, 611, 8082, 1144, 1546, 5933, 2820, 573, 1023, 1610, 2203, 34315, 236881, 3551, 2299, 236789, 236751, 44055, 580, 1239, 6485, 573, 1023, 2148, 18669, 3605, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 114555, 1083, 623, 68480, 2376, 656, 568, 3586, 3065, 3750, 65045, 125671, 743, 22730, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 85038, 567, 1083, 623, 21848, 9034, 6895, 6842, 236761, 30839, 14561, 236772, 5140, 217007, 2351, 236743, 236812, 236828, 3885, 236761, 44812, 1149, 577, 89741, 742, 573, 38161, 45248, 768, 13482, 563, 36297, 10498, 623, 62580, 236779, 498, 236779, 661, 236779, 6201, 1083, 623, 179880, 607, 9875, 38821, 740, 2036, 6422, 3826, 85638, 236761, 27468, 18669, 2351, 236743, 236800, 2668, 1680, 3342, 17538, 1781, 236783, 107, 14937, 114555, 1083, 623, 144438, 57620, 895, 568, 32185, 236874, 22730, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 85038, 567, 1083, 623, 4602, 48066, 22458, 6485, 236761, 26295, 573, 37760, 9935, 236761, 14066, 23612, 6485, 768, 861, 3877, 3831, 10684, 10498, 623, 62580, 236779, 498, 236779, 661, 236779, 6201, 1083, 623, 192881, 13482, 17707, 112242, 3004, 236761, 22282, 77372, 45248, 106390, 6895, 573, 28239, 85638, 236761, 36851, 236743, 236778, 236772, 14808, 10941, 2846, 1680, 2148, 14919, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 5933, 3671, 2536, 573, 822, 25852, 6895, 236787, 108, 236770, 236761, 5213, 68480, 2376, 656, 568, 3586, 3065, 3750, 65045, 125671, 743, 62902, 138, 107, 139, 236772, 5213, 229806, 27242, 66515, 236743, 236819, 236778, 236908, 138, 107, 139, 236772, 5213, 211199, 66515, 22221, 9034, 6895, 6842, 532, 5510, 14561, 236772, 5140, 217007, 2351, 236743, 236812, 236828, 3885, 236761, 44812, 1149, 2036, 577, 89741, 742, 573, 38161, 45248, 768, 506, 13482, 563, 36297, 236761, 138, 107, 139, 236772, 5213, 66207, 580, 4585, 7879, 66515, 138, 107, 141, 179880, 607, 9875, 38821, 740, 6422, 3826, 85638, 236761, 27468, 822, 18669, 2351, 5213, 236800, 2668, 1018, 531, 1161, 1239, 6895, 1680, 17538, 71863, 236761, 138, 108, 236778, 236761, 5213, 144438, 57620, 895, 568, 32185, 236874, 62902, 138, 107, 139, 236772, 5213, 229806, 27242, 66515, 236743, 236832, 236828, 236908, 138, 107, 139, 236772, 5213, 211199, 66515, 2375, 48066, 22458, 6485, 532, 7020, 573, 37760, 9935, 236761, 44635, 6485, 768, 861, 3877, 3831, 10684, 236761, 138, 107, 139, 236772, 5213, 66207, 580, 4585, 7879, 66515, 138, 107, 141, 192881, 13482, 17707, 112242, 3004, 236761, 22282, 77372, 45248, 5213, 527, 20357, 15471, 6895, 1018, 573, 28239, 85638, 236761, 36851, 496, 5213, 236778, 236772, 14808, 10941, 2846, 1018, 1680, 506, 2148, 14919, 531, 5571, 3342, 6422, 3967, 236761, 138, 108, 10354, 10659, 9620, 236787, 138, 107, 236772, 6890, 6895, 607, 9875, 35588, 2376, 656, 38821, 573, 13258, 38161, 23680, 568, 49426, 236743, 236800, 2668, 769, 138, 107, 236772, 3725, 6307, 35971, 22458, 6895, 532, 2980, 506, 6485, 531, 5001, 7028, 236761, 138, 107, 236772, 1701, 32985, 236874, 236764, 3213, 580, 7644, 236772, 18985, 6895, 532, 2731, 496, 1500, 236772, 1048, 14919, 1308, 236743, 236778, 5695, 236761, 138, 108, 38786, 611, 1133, 531, 18840, 919, 4876, 653, 37386, 506, 4269, 6555, 236881, 5180, 34315, 30981, 1374, 2514, 506, 18669, 580, 4087, 1651, 16011, 506, 6485, 236888, 236743, 243536, 245838, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 25890, 236888, 3792, 786, 6253, 1023, 18669, 10368, 2721, 580, 506, 236743, 236800, 236772, 1496, 4771, 573, 35588, 2376, 656, 85638, 236761, 3199, 611, 1601, 786, 56856, 837, 6485, 531, 2980, 7728, 236761, 14919, 1171, 236881, 6542, 236764, 1451, 611, 4071, 236772, 30449, 506, 32985, 236874, 10805, 6317, 568, 236832, 236828, 11376, 607, 1027, 1262, 1003, 1217, 6077, 106390, 6895, 2473, 1668, 10684, 236881, 564, 1202, 531, 35820, 506, 7972, 9769, 531, 1531, 775, 2514, 506, 22458, 6485, 573, 1492, 2338, 692, 236858, 500, 2822, 580, 5417, 236761, 7062, 236764, 532, 776, 1724, 14561, 217007, 15136, 5510, 531, 10293, 49115, 8443, 236881, 669, 3399, 7972, 5238, 10346, 28597, 236772, 18865, 28463, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 531, 4313, 822, 28304, 532, 4137, 236787, 108, 10354, 5213, 236770, 236761, 15748, 22282, 217361, 1018, 138, 107, 236772, 5213, 81009, 5315, 66515, 44812, 607, 5213, 68480, 2376, 656, 1018, 568, 236819, 236778, 236908, 10805, 769, 30235, 580, 16011, 1239, 607, 223518, 532, 14919, 9034, 6895, 808, 175401, 236829, 573, 85638, 236761, 138, 107, 236772, 5213, 137187, 5315, 66515, 44812, 607, 5213, 32185, 236874, 1018, 568, 236832, 236828, 236908, 10805, 236768, 1374, 577, 5213, 3419, 509, 2926, 125546, 711, 9050, 236761, 22282, 77372, 45248, 106390, 6895, 573, 85638, 1492, 236764, 618, 10684, 1149, 1769, 5695, 531, 3196, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 32985, 236874, 219565, 5774, 1018, 138, 107, 818, 236743, 236832, 236828, 236908, 10805, 6317, 573, 32985, 236874, 12205, 2653, 13482, 236764, 840, 106390, 6895, 1149, 4595, 46810, 236772, 6796, 573, 5213, 236778, 236964, 236812, 5695, 1018, 1208, 12567, 3439, 568, 23920, 11139, 236764, 16111, 1813, 769, 43378, 913, 1133, 5387, 653, 29811, 36384, 46810, 2913, 236761, 1174, 5021, 611, 496, 5213, 236778, 236772, 14808, 11345, 1018, 531, 1161, 7644, 236772, 18985, 6895, 1680, 38702, 531, 35213, 634, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 48906, 102443, 17973, 833, 37330, 31022, 1018, 138, 107, 127749, 236772, 5140, 223518, 568, 236744, 236761, 236759, 1126, 64332, 11711, 236768, 659, 5213, 126029, 10833, 1018, 573, 10293, 49115, 236764, 840, 2426, 822, 7972, 236858, 236751, 3530, 28463, 236787, 138, 107, 236772, 5213, 70242, 768, 66515, 107413, 684, 506, 37330, 26810, 9352, 7955, 568, 4206, 5610, 236768, 532, 6055, 3894, 531, 5346, 11808, 236761, 138, 107, 236772, 5213, 158118, 66515, 39874, 197016, 568, 4881, 2016, 9295, 36260, 236768, 532, 5330, 625, 236858, 236751, 18944, 607, 822, 7972, 236858, 236751, 28597, 236772, 18289, 8112, 236761, 138, 108, 7243, 108, 10354, 5213, 29860, 212194, 34428, 573, 506, 8171, 1018, 138, 107, 236772, 4075, 9042, 969, 506, 5213, 236778, 236772, 14808, 4771, 1018, 573, 32985, 236874, 6895, 531, 89741, 5417, 236761, 138, 107, 236772, 1255, 3518, 103123, 22458, 6485, 532, 221355, 1091, 531, 38161, 45248, 1651, 11734, 573, 12778, 10684, 236761, 138, 107, 236772, 118189, 600, 14561, 217007, 100146, 607, 10293, 10154, 808, 584, 236829, 6055, 103432, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 15523, 573, 506, 9769, 653, 32187, 4767, 4876, 236881, 178829, 250861, 238178, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 600, 9769, 15523, 236888, 12213, 1239, 2307, 3298, 236787, 753, 5213, 38370, 9086, 66515, 35588, 2376, 656, 7087, 13258, 2970, 568, 39314, 17973, 900, 14919, 2351, 236743, 236800, 2668, 236768, 531, 89741, 85638, 236761, 753, 5213, 32185, 236874, 89254, 66515, 1773, 20357, 15471, 6895, 735, 496, 236743, 236778, 236964, 236812, 2069, 46810, 236772, 6796, 4771, 236764, 6295, 775, 496, 6338, 2846, 531, 6196, 5417, 236761, 753, 5213, 99969, 63040, 66515, 104574, 600, 692, 236858, 859, 1161, 69261, 5610, 236772, 59849, 14561, 217007, 568, 236744, 236761, 236759, 1126, 64332, 11711, 236768, 147535, 236764, 31983, 9295, 36260, 236761, 753, 5213, 120104, 9620, 66515, 1255, 3518, 16789, 17507, 580, 32985, 236874, 6485, 531, 6349, 35971, 22458, 6895, 131526, 2232, 236761, 6542, 236764, 1451, 611, 8091, 1027, 2958, 580, 1217, 32985, 236874, 19375, 38161, 3325, 808, 15849, 236829, 11325, 10684, 236881, 564, 1202, 1262, 531, 22165, 600, 3649, 236772, 48828, 524, 32985, 236874, 6895, 2810, 236858, 236745, 32963, 1023, 1610, 14767, 236761, 13472, 236764, 3600, 496, 21609, 2731, 768, 506, 9769, 83866, 10264, 22458, 6485, 237028, 60766, 496, 1694, 529, 9302, 38161, 7021, 699, 1032, 7972, 20859, 236881, 106, 107, 105, 4368, 107, 1018, 88293, 105971, 573, 19871, 8171, 84702, 1018, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 13996, 9086, 236787, 113970, 10659, 573, 35588, 2376, 656, 1018, 138, 107, 236772, 5213, 66748, 66515, 35588, 2376, 656, 568, 236819, 236778, 236908, 10805, 236768, 563, 22074, 30272, 532, 740, 9867, 47738, 2351, 2668, 236761, 138, 107, 236772, 5213, 4396, 9620, 66515, 138, 107, 138, 236772, 30839, 5213, 4206, 5610, 236772, 59849, 14561, 217007, 568, 236744, 236761, 236759, 1126, 64332, 11711, 62902, 531, 22458, 6485, 2351, 236743, 236812, 236828, 3885, 236761, 138, 107, 138, 236772, 56846, 9034, 6895, 6842, 573, 38161, 23680, 568, 234241, 573, 236743, 236800, 2668, 1680, 17538, 57346, 1091, 157417, 769, 138, 107, 236772, 5213, 224693, 66515, 28664, 1283, 5417, 573, 506, 18669, 1651, 25869, 113455, 7028, 531, 7644, 6485, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 32985, 236874, 89254, 236787, 30164, 50410, 658, 56846, 28405, 1018, 138, 107, 236772, 5213, 66748, 66515, 32985, 236874, 568, 236832, 236828, 236908, 10805, 236768, 17707, 112242, 840, 3831, 951, 11325, 10684, 3819, 236761, 138, 107, 236772, 5213, 4396, 9620, 66515, 138, 107, 138, 236772, 56846, 5213, 527, 20357, 15471, 32985, 236874, 236772, 30558, 6895, 1018, 1492, 573, 38161, 1161, 236761, 138, 107, 138, 236772, 26295, 6485, 16789, 236793, 6349, 6895, 607, 37760, 9935, 653, 7070, 522, 236761, 138, 107, 236772, 5213, 2100, 12730, 66515, 138, 107, 138, 236772, 32985, 236874, 236772, 60697, 6485, 1149, 1407, 10684, 5213, 236778, 236964, 236812, 5695, 1868, 236772, 63278, 125546, 10167, 580, 4022, 532, 5013, 236761, 138, 107, 138, 236772, 5213, 3695, 236772, 236751, 20357, 542, 4100, 580, 85638, 66515, 14419, 1407, 32985, 236874, 17707, 112242, 3004, 684, 5213, 236770, 236810, 236964, 236800, 236771, 236908, 1018, 1581, 1680, 11325, 10684, 568, 6265, 236787, 808, 56003, 86391, 9186, 30237, 236743, 236778, 236771, 236778, 236771, 779, 840, 672, 2036, 15741, 54089, 3826, 85638, 573, 1610, 236761, 21107, 14919, 22606, 506, 7310, 38161, 3325, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 37330, 63040, 1018, 138, 107, 236772, 5213, 127749, 102443, 17973, 6890, 66515, 138, 107, 138, 236772, 64332, 11711, 563, 69261, 5610, 236772, 34807, 532, 6338, 573, 10293, 3797, 1056, 6055, 147535, 236761, 138, 107, 138, 236772, 30839, 1186, 531, 22458, 6485, 236764, 31983, 30260, 128067, 531, 5001, 9295, 36260, 236761, 138, 107, 236772, 5213, 221962, 66515, 2301, 22615, 21579, 795, 577, 1456, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 45325, 9620, 573, 32985, 236874, 44812, 1018, 138, 107, 236772, 5213, 97850, 58711, 66515, 22221, 6895, 607, 37760, 9935, 653, 69008, 531, 5111, 10625, 7028, 236761, 138, 107, 236772, 5213, 1584, 522, 1895, 66515, 1637, 1890, 236810, 236771, 236908, 529, 32985, 236874, 6485, 1407, 12778, 10684, 236764, 9883, 1091, 607, 21609, 20859, 568, 4041, 3426, 769, 138, 108, 7243, 108, 10354, 5213, 26917, 25252, 236787, 32985, 236874, 532, 50410, 658, 19779, 1018, 138, 107, 236772, 5213, 3503, 52653, 66515, 32985, 236874, 191905, 151412, 2913, 236764, 40689, 112242, 840, 711, 40912, 85638, 11716, 236761, 562, 236743, 236778, 236771, 236778, 236770, 2748, 14083, 29399, 529, 32229, 144616, 17616, 1765, 236787, 138, 107, 138, 236772, 5213, 3695, 236772, 236751, 20357, 542, 6895, 66515, 5578, 662, 236743, 236832, 236771, 236964, 236828, 236810, 236908, 529, 3867, 112242, 4535, 236761, 138, 107, 138, 236772, 5213, 7118, 236772, 236751, 20357, 542, 6895, 66515, 59201, 54040, 17221, 531, 236743, 236800, 236771, 236964, 236812, 236771, 10014, 13471, 38161, 223750, 236761, 138, 107, 236772, 5213, 30792, 66515, 228441, 32985, 236874, 6895, 808, 15849, 236829, 10684, 22606, 20626, 38161, 3325, 573, 506, 18669, 236761, 138, 108, 7243, 108, 10354, 5213, 45555, 9620, 236787, 48806, 50410, 658, 49174, 1018, 138, 107, 2859, 22458, 6485, 1921, 577, 8476, 236764, 1590, 659, 4592, 236772, 49809, 236764, 1494, 236772, 44054, 658, 24277, 236787, 138, 107, 236770, 236761, 5213, 67619, 813, 1018, 568, 17224, 1473, 44096, 528, 236743, 236825, 5695, 236793, 1494, 112242, 1581, 528, 1944, 6895, 236761, 138, 107, 236778, 236761, 5213, 3912, 1713, 1018, 568, 9264, 236786, 61133, 1473, 85454, 1769, 236743, 236828, 5695, 236764, 840, 6895, 6422, 9514, 85638, 6842, 236761, 138, 107, 236800, 236761, 5213, 9585, 554, 3601, 1018, 568, 37154, 236786, 51512, 1473, 8805, 1294, 5508, 528, 236743, 236812, 5695, 236793, 951, 5933, 4652, 236761, 138, 107, 236812, 236761, 5213, 9264, 565, 129113, 1018, 568, 61133, 236786, 16520, 1473, 79765, 6895, 740, 577, 45869, 528, 236743, 236825, 5695, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 78346, 580, 99933, 506, 4269, 236786, 48828, 2731, 236761, 138, 107, 236778, 236761, 27468, 496, 24564, 2434, 573, 217007, 3739, 532, 11463, 45248, 236761, 138, 107, 236800, 236761, 55630, 496, 32985, 236874, 11734, 2080, 573, 16789, 12496, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 672, 15523, 3342, 653, 2847, 54352, 573, 506, 2958, 6950, 236881, 236743, 243536, 244878, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 65911, 3393, 573, 64794, 130417, 236764, 14401, 236881, 564, 236789, 236757, 6995, 496, 7946, 532, 1202, 506, 4453, 49075, 3393, 573, 1041, 213783, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 1385, 872, 65911, 17253, 684, 4563, 1463, 568, 236744, 236761, 236759, 1126, 623, 1980, 72322, 130417, 236764, 14401, 4248, 669, 2487, 623, 15905, 3970, 236775, 5904, 1186, 165522, 4563, 4889, 808, 1708, 496, 2238, 65911, 3393, 30237, 711, 506, 14416, 236761, 236743, 108, 2542, 11459, 49075, 3393, 1938, 236764, 564, 5840, 16329, 506, 3640, 4184, 73899, 6007, 568, 3118, 4502, 236768, 4456, 653, 496, 13451, 15468, 2509, 1133, 6475, 39247, 236761, 64794, 130417, 236789, 236751, 5905, 65911, 3393, 563, 5213, 236778, 236800, 236770, 236828, 236832, 125546, 840, 564, 3914, 16807, 672, 1343, 1041, 1873, 5904, 1025, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 65911, 3393, 236743, 236778, 236800, 236770, 236828, 236832, 17671, 531, 64794, 130417, 236764, 14401, 236881, 564, 1202, 531, 9128, 506, 4563, 4889, 1680, 201585, 1041, 4301, 76717, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236778, 236800, 236770, 236828, 236832, 827, 623, 13319, 1083, 623, 1980, 72322, 130417, 827, 623, 3255, 1083, 623, 92012, 827, 623, 78660, 1083, 623, 27359, 4085, 5796, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236832, 236761, 236778, 236825, 236828, 236800, 236764, 623, 41713, 1083, 753, 236832, 236825, 236761, 236812, 236828, 236825, 236770, 1263, 623, 104094, 1083, 623, 2094, 65911, 3393, 563, 21209, 13720, 531, 506, 64794, 130417, 17110, 7905, 528, 7502, 4085, 5796, 236764, 14401, 1781, 236783, 106, 107, 105, 4368, 107, 818, 65911, 3393, 5213, 236778, 236800, 236770, 236828, 236832, 1018, 21209, 17671, 531, 5213, 1980, 72322, 130417, 236764, 14401, 125546, 618, 10778, 684, 506, 136277, 236761, 5715, 659, 506, 2587, 4889, 236787, 138, 107, 236772, 5213, 17698, 66515, 64794, 130417, 138, 107, 236772, 5213, 3112, 66515, 14401, 138, 107, 236772, 5213, 80023, 66515, 7502, 4085, 5796, 138, 107, 236772, 5213, 58713, 66515, 165356, 236743, 236800, 236832, 236761, 236778, 236825, 236828, 236800, 236764, 8099, 4637, 753, 236832, 236825, 236761, 236812, 236828, 236825, 236770, 138, 108, 2094, 65911, 3393, 563, 10916, 13720, 531, 506, 64794, 130417, 17110, 7905, 236764, 3043, 625, 506, 4338, 49075, 3393, 573, 822, 4301, 76717, 236761, 30164, 33036, 236888, 236743, 247726, 106, 107, 105, 2364, 107, 8574, 611, 974, 496, 4940, 1707, 1003, 64794, 130417, 236764, 14401, 236881, 564, 236789, 236753, 1133, 531, 1138, 625, 531, 1041, 213783, 573, 1041, 7946, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 1980, 72322, 130417, 236764, 6697, 528, 236743, 236770, 236825, 236819, 236819, 236764, 7779, 618, 506, 5279, 529, 506, 84358, 529, 14401, 573, 236743, 236828, 236770, 1518, 3097, 236743, 236770, 236832, 236828, 236771, 236764, 1056, 506, 5279, 691, 7808, 531, 37435, 2779, 531, 506, 88459, 5289, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 2317, 11858, 1707, 573, 822, 213783, 236787, 138, 107, 1018, 236775, 1980, 72322, 130417, 236764, 6697, 528, 236743, 236770, 236825, 236819, 236819, 236764, 7779, 618, 506, 5279, 529, 506, 84358, 529, 14401, 573, 236743, 236828, 236770, 1518, 3097, 236743, 236770, 236832, 236828, 236771, 236764, 1056, 506, 5279, 691, 7808, 531, 37435, 2779, 531, 506, 88459, 5289, 1781, 1018, 138, 108, 54133, 573, 8009, 496, 6374, 529, 4083, 531, 822, 4301, 8687, 236888, 236743, 252432, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 1385, 872, 506, 65911, 3393, 573, 64794, 130417, 236764, 14401, 236881, 564, 236789, 236757, 6995, 496, 7946, 532, 1202, 506, 4453, 49075, 3393, 573, 1041, 213783, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 1385, 872, 65911, 17253, 684, 4563, 1463, 568, 236744, 236761, 236759, 1126, 623, 1980, 72322, 130417, 236764, 14401, 4248, 669, 2487, 623, 15905, 3970, 236775, 5904, 1186, 165522, 4563, 4889, 808, 1708, 496, 2238, 65911, 3393, 30237, 711, 506, 14416, 236761, 236743, 108, 2542, 11459, 49075, 3393, 1938, 236764, 564, 5840, 16329, 506, 3640, 4184, 73899, 6007, 568, 3118, 4502, 236768, 4456, 653, 496, 13451, 15468, 2509, 1133, 6475, 39247, 236761, 64794, 130417, 236789, 236751, 5905, 65911, 3393, 563, 5213, 236778, 236800, 236770, 236828, 236832, 125546, 840, 564, 3914, 16807, 672, 1343, 1041, 1873, 5904, 1025, 236761, 106, 107, 105, 2364, 107, 8574, 611, 2426, 768, 65911, 3393, 236743, 236778, 236800, 236770, 236828, 236832, 17671, 531, 64794, 130417, 236764, 14401, 236881, 564, 1202, 531, 9128, 506, 4563, 4889, 1680, 201585, 1041, 4301, 76717, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236778, 236800, 236770, 236828, 236832, 827, 623, 13319, 1083, 623, 1980, 72322, 130417, 827, 623, 3255, 1083, 623, 92012, 827, 623, 78660, 1083, 623, 27359, 4085, 5796, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236832, 236761, 236778, 236825, 236828, 236800, 236764, 623, 41713, 1083, 753, 236832, 236825, 236761, 236812, 236828, 236825, 236770, 1263, 623, 104094, 1083, 623, 2094, 65911, 3393, 563, 21209, 13720, 531, 506, 64794, 130417, 17110, 7905, 528, 7502, 4085, 5796, 236764, 14401, 1781, 236783, 106, 107, 105, 4368, 107, 818, 65911, 3393, 5213, 236778, 236800, 236770, 236828, 236832, 1018, 21209, 17671, 531, 5213, 1980, 72322, 130417, 236764, 14401, 125546, 618, 10778, 684, 506, 136277, 236761, 5715, 659, 506, 2587, 4889, 236787, 138, 107, 236772, 5213, 17698, 66515, 64794, 130417, 138, 107, 236772, 5213, 3112, 66515, 14401, 138, 107, 236772, 5213, 80023, 66515, 7502, 4085, 5796, 138, 107, 236772, 5213, 58713, 66515, 165356, 236743, 236800, 236832, 236761, 236778, 236825, 236828, 236800, 236764, 8099, 4637, 753, 236832, 236825, 236761, 236812, 236828, 236825, 236770, 138, 108, 2094, 65911, 3393, 563, 10916, 13720, 531, 506, 64794, 130417, 17110, 7905, 236764, 3043, 625, 506, 4338, 49075, 3393, 573, 822, 4301, 76717, 236761, 30164, 33036, 236888, 236743, 247726, 106, 107, 105, 2364, 107, 8574, 611, 974, 496, 4940, 1707, 1003, 64794, 130417, 236764, 14401, 236881, 564, 236789, 236753, 1133, 531, 1138, 625, 531, 1041, 213783, 573, 1041, 7946, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 1980, 72322, 130417, 236764, 6697, 528, 236743, 236770, 236825, 236819, 236819, 236764, 7779, 618, 506, 5279, 529, 506, 84358, 529, 14401, 573, 236743, 236828, 236770, 1518, 3097, 236743, 236770, 236832, 236828, 236771, 236764, 1056, 506, 5279, 691, 7808, 531, 37435, 2779, 531, 506, 88459, 5289, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 2317, 11858, 1707, 573, 822, 213783, 236787, 138, 107, 1018, 236775, 1980, 72322, 130417, 236764, 6697, 528, 236743, 236770, 236825, 236819, 236819, 236764, 7779, 618, 506, 5279, 529, 506, 84358, 529, 14401, 573, 236743, 236828, 236770, 1518, 3097, 236743, 236770, 236832, 236828, 236771, 236764, 1056, 506, 5279, 691, 7808, 531, 37435, 2779, 531, 506, 88459, 5289, 1781, 1018, 138, 108, 54133, 573, 8009, 496, 6374, 529, 4083, 531, 822, 4301, 8687, 236888, 236743, 252432, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2958, 3435, 11024, 573, 1041, 3402, 9899, 139897, 236761, 5315, 236764, 1586, 9979, 2351, 236743, 236810, 236771, 7635, 529, 3331, 55671, 236764, 12501, 607, 17014, 1024, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 236761, 4298, 2426, 1217, 1551, 20990, 2849, 528, 1546, 529, 1724, 9979, 236761, 1637, 1027, 5904, 2246, 20269, 236764, 2056, 9302, 6137, 531, 4133, 506, 4209, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 9767, 55671, 827, 623, 38428, 1083, 236743, 236770, 236828, 236778, 236812, 236828, 236764, 623, 37673, 1083, 236743, 236800, 236771, 236761, 236828, 236770, 236770, 236770, 236764, 623, 41713, 1083, 753, 236828, 236819, 236761, 236800, 236770, 236812, 236800, 236764, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 9767, 55671, 827, 623, 37673, 1083, 236743, 236800, 236771, 236761, 236828, 236825, 236778, 236764, 623, 41713, 1083, 753, 236828, 236819, 236761, 236812, 236812, 236800, 236764, 623, 38428, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 14801, 1083, 623, 3118, 25938, 107, 14937, 1201, 1083, 623, 44746, 571, 2253, 827, 623, 37673, 1083, 236743, 236800, 236771, 236761, 236832, 236810, 236764, 623, 41713, 1083, 753, 236828, 236819, 236761, 236810, 236800, 236770, 236764, 623, 38428, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 2542, 4506, 5884, 11417, 827, 623, 7720, 1083, 623, 236770, 236810, 236828, 236810, 14583, 18248, 18977, 236764, 161219, 695, 9339, 236764, 12501, 236743, 236800, 236819, 236812, 236771, 236770, 827, 623, 18146, 3123, 1083, 11058, 94209, 10668, 827, 623, 173967, 827, 623, 40585, 79887, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236778, 236783, 107, 14937, 1201, 1083, 623, 236814, 77161, 11669, 6022, 827, 623, 7720, 1083, 623, 236770, 236800, 236770, 236800, 11417, 3587, 236764, 8036, 14148, 11210, 236764, 12501, 236743, 236800, 236819, 236810, 236778, 236771, 827, 623, 18146, 3123, 1083, 11058, 9789, 29966, 827, 623, 94209, 10668, 827, 623, 15814, 1865, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236828, 236783, 107, 14937, 1201, 1083, 623, 894, 236761, 21340, 236789, 236751, 11417, 827, 623, 7720, 1083, 623, 236778, 236771, 236771, 236771, 645, 11877, 56258, 236764, 28451, 157191, 236764, 12501, 236743, 236800, 236819, 236810, 236800, 236770, 827, 623, 18146, 3123, 1083, 11058, 2791, 49200, 827, 623, 97544, 27620, 827, 623, 2011, 236836, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236812, 236832, 236783, 106, 107, 105, 4368, 107, 1018, 74211, 2351, 236743, 236810, 236771, 7635, 529, 3331, 55671, 236764, 12501, 607, 17014, 1024, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 53121, 107, 236772, 3331, 55671, 236764, 12501, 568, 38428, 2578, 236770, 236778, 236764, 236810, 236771, 236771, 236768, 107, 236772, 26126, 571, 2253, 236764, 12501, 568, 38428, 2578, 236770, 236810, 236764, 236771, 236771, 236771, 236768, 108, 1018, 236814, 178020, 528, 1239, 9979, 53121, 138, 107, 3771, 20990, 964, 1765, 5628, 808, 49426, 236829, 3331, 55671, 653, 26126, 571, 2253, 2721, 580, 506, 3927, 236761, 3153, 236764, 1590, 659, 24786, 20990, 14942, 568, 49426, 236743, 236810, 236771, 7635, 236768, 600, 1451, 7298, 1239, 4106, 236787, 108, 236770, 236761, 5213, 2542, 4506, 5884, 11417, 1018, 568, 236814, 1667, 695, 9339, 236764, 12501, 753, 236743, 236778, 236778, 7635, 3121, 236768, 138, 107, 139, 236772, 214168, 236787, 32683, 10668, 236764, 49045, 236764, 134762, 108, 236778, 236761, 5213, 236814, 77161, 11669, 6022, 1018, 568, 27930, 14148, 11210, 236764, 12501, 753, 236743, 236800, 236828, 7635, 3121, 236768, 138, 107, 139, 236772, 214168, 236787, 190141, 236764, 32683, 10668, 236764, 131591, 108, 236800, 236761, 5213, 894, 236761, 21340, 236789, 236751, 11417, 1018, 568, 83547, 157191, 236764, 12501, 753, 236743, 236812, 236832, 7635, 3121, 236768, 138, 107, 139, 236772, 214168, 236787, 115312, 236764, 107154, 236764, 105544, 108, 1018, 9272, 6555, 573, 822, 9899, 139897, 2958, 53121, 138, 107, 236772, 14066, 33417, 531, 1239, 20990, 573, 3435, 4430, 36453, 236761, 138, 107, 236772, 46071, 46144, 1262, 573, 3331, 55671, 236786, 44746, 571, 2253, 531, 59638, 822, 1960, 7545, 236761, 138, 107, 236772, 21284, 611, 1133, 10686, 607, 4767, 1262, 568, 236744, 236761, 236759, 1126, 43365, 3671, 236764, 8827, 9935, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2958, 3435, 11024, 573, 1041, 3402, 9899, 139897, 236761, 5315, 236764, 1586, 9979, 2351, 236743, 236810, 236771, 7635, 529, 3331, 55671, 236764, 12501, 607, 17014, 1024, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 236761, 4298, 2426, 1217, 1551, 20990, 2849, 528, 1546, 529, 1724, 9979, 236761, 1637, 1027, 5904, 2246, 20269, 236764, 2056, 9302, 6137, 531, 4133, 506, 4209, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 9767, 55671, 827, 623, 38428, 1083, 236743, 236770, 236828, 236778, 236812, 236828, 236764, 623, 37673, 1083, 236743, 236800, 236771, 236761, 236828, 236770, 236770, 236770, 236764, 623, 41713, 1083, 753, 236828, 236819, 236761, 236800, 236770, 236812, 236800, 236764, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 9767, 55671, 827, 623, 37673, 1083, 236743, 236800, 236771, 236761, 236828, 236825, 236778, 236764, 623, 41713, 1083, 753, 236828, 236819, 236761, 236812, 236812, 236800, 236764, 623, 38428, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 14801, 1083, 623, 3118, 25938, 107, 14937, 1201, 1083, 623, 44746, 571, 2253, 827, 623, 37673, 1083, 236743, 236800, 236771, 236761, 236832, 236810, 236764, 623, 41713, 1083, 753, 236828, 236819, 236761, 236810, 236800, 236770, 236764, 623, 38428, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 14801, 1083, 623, 3118, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 2542, 4506, 5884, 11417, 827, 623, 7720, 1083, 623, 236770, 236810, 236828, 236810, 14583, 18248, 18977, 236764, 161219, 695, 9339, 236764, 12501, 236743, 236800, 236819, 236812, 236771, 236770, 827, 623, 18146, 3123, 1083, 11058, 94209, 10668, 827, 623, 173967, 827, 623, 40585, 79887, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236778, 236783, 107, 14937, 1201, 1083, 623, 236814, 77161, 11669, 6022, 827, 623, 7720, 1083, 623, 236770, 236800, 236770, 236800, 11417, 3587, 236764, 8036, 14148, 11210, 236764, 12501, 236743, 236800, 236819, 236810, 236778, 236771, 827, 623, 18146, 3123, 1083, 11058, 9789, 29966, 827, 623, 94209, 10668, 827, 623, 15814, 1865, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236828, 236783, 107, 14937, 1201, 1083, 623, 894, 236761, 21340, 236789, 236751, 11417, 827, 623, 7720, 1083, 623, 236778, 236771, 236771, 236771, 645, 11877, 56258, 236764, 28451, 157191, 236764, 12501, 236743, 236800, 236819, 236810, 236800, 236770, 827, 623, 18146, 3123, 1083, 11058, 2791, 49200, 827, 623, 97544, 27620, 827, 623, 2011, 236836, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236812, 236832, 236783, 106, 107, 105, 4368, 107, 1018, 74211, 2351, 236743, 236810, 236771, 7635, 529, 3331, 55671, 236764, 12501, 607, 17014, 1024, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 53121, 107, 236772, 3331, 55671, 236764, 12501, 568, 38428, 2578, 236770, 236778, 236764, 236810, 236771, 236771, 236768, 107, 236772, 26126, 571, 2253, 236764, 12501, 568, 38428, 2578, 236770, 236810, 236764, 236771, 236771, 236771, 236768, 108, 1018, 236814, 178020, 528, 1239, 9979, 53121, 138, 107, 3771, 20990, 964, 1765, 5628, 808, 49426, 236829, 3331, 55671, 653, 26126, 571, 2253, 2721, 580, 506, 3927, 236761, 3153, 236764, 1590, 659, 24786, 20990, 14942, 568, 49426, 236743, 236810, 236771, 7635, 236768, 600, 1451, 7298, 1239, 4106, 236787, 108, 236770, 236761, 5213, 2542, 4506, 5884, 11417, 1018, 568, 236814, 1667, 695, 9339, 236764, 12501, 753, 236743, 236778, 236778, 7635, 3121, 236768, 138, 107, 139, 236772, 214168, 236787, 32683, 10668, 236764, 49045, 236764, 134762, 108, 236778, 236761, 5213, 236814, 77161, 11669, 6022, 1018, 568, 27930, 14148, 11210, 236764, 12501, 753, 236743, 236800, 236828, 7635, 3121, 236768, 138, 107, 139, 236772, 214168, 236787, 190141, 236764, 32683, 10668, 236764, 131591, 108, 236800, 236761, 5213, 894, 236761, 21340, 236789, 236751, 11417, 1018, 568, 83547, 157191, 236764, 12501, 753, 236743, 236812, 236832, 7635, 3121, 236768, 138, 107, 139, 236772, 214168, 236787, 115312, 236764, 107154, 236764, 105544, 108, 1018, 9272, 6555, 573, 822, 9899, 139897, 2958, 53121, 138, 107, 236772, 14066, 33417, 531, 1239, 20990, 573, 3435, 4430, 36453, 236761, 138, 107, 236772, 46071, 46144, 1262, 573, 3331, 55671, 236786, 44746, 571, 2253, 531, 59638, 822, 1960, 7545, 236761, 138, 107, 236772, 21284, 611, 1133, 10686, 607, 4767, 1262, 568, 236744, 236761, 236759, 1126, 43365, 3671, 236764, 8827, 9935, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 17395, 3435, 4867, 15797, 528, 496, 6693, 9624, 5975, 236761, 9187, 684, 1699, 3823, 236779, 2305, 531, 1586, 623, 11962, 4855, 11937, 236775, 568, 43791, 557, 51187, 5975, 236768, 532, 33205, 910, 5975, 5853, 236761, 4298, 236764, 1161, 5975, 236779, 3906, 607, 600, 5853, 531, 16807, 910, 1873, 4867, 111199, 236761, 12067, 236764, 4071, 236772, 30449, 5975, 236779, 3849, 18218, 573, 506, 3068, 1806, 18046, 531, 4187, 784, 4155, 16788, 236761, 1637, 4921, 12412, 9644, 11361, 236810, 236771, 236792, 2558, 236764, 1161, 2436, 236779, 2394, 236779, 1340, 236779, 28544, 531, 10769, 18176, 2436, 1550, 2342, 4785, 25229, 699, 5975, 236779, 3906, 236761, 1637, 85373, 9644, 236743, 236778, 236771, 10014, 18840, 5975, 236779, 15080, 1013, 573, 3736, 114461, 6658, 531, 11704, 236761, 13472, 236764, 8729, 496, 2072, 41671, 1027, 2604, 22680, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11128, 236779, 547, 1083, 623, 5094, 236799, 236772, 30722, 236772, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 11962, 4855, 11937, 827, 623, 2084, 1083, 623, 38057, 827, 623, 53337, 1083, 623, 78304, 827, 623, 7125, 1083, 623, 26179, 827, 623, 33686, 236779, 3906, 1083, 3714, 71560, 1083, 236743, 236770, 236819, 236819, 236828, 236764, 623, 540, 13419, 1083, 623, 9264, 11937, 36770, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4000, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38057, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 1201, 1083, 623, 11962, 4855, 11937, 827, 623, 48231, 1083, 236743, 236770, 236819, 236778, 236800, 236764, 623, 540, 13419, 1083, 623, 9264, 11937, 36770, 827, 623, 7125, 1083, 623, 74246, 236764, 6322, 827, 623, 61054, 236779, 2763, 56785, 1083, 3714, 78067, 236779, 83122, 1083, 6443, 236756, 236778, 236771, 552, 236828, 236810, 236761, 236812, 236792, 827, 623, 6725, 236779, 115714, 1083, 6443, 236756, 236778, 236771, 552, 236832, 236828, 236761, 236819, 236792, 827, 623, 2108, 236779, 17341, 1083, 6443, 236756, 236778, 236771, 552, 236825, 236761, 236810, 236792, 827, 623, 76054, 236779, 4818, 1083, 623, 61433, 23179, 623, 236751, 3511, 236779, 13308, 1083, 3714, 6725, 236779, 28544, 1083, 236743, 236778, 236828, 236764, 623, 18553, 236779, 676, 1083, 236743, 236778, 236810, 236761, 236812, 236764, 623, 69282, 236779, 28544, 1083, 236743, 236770, 236778, 1263, 623, 3147, 236779, 29552, 1083, 78493, 1201, 1083, 623, 12720, 77771, 827, 623, 10639, 1083, 623, 79797, 827, 623, 1571, 694, 1083, 623, 236778, 236771, 236770, 236828, 236772, 25278, 23179, 3714, 1201, 1083, 623, 126758, 112611, 827, 623, 10639, 1083, 623, 52571, 8853, 827, 623, 1571, 694, 1083, 623, 236778, 236771, 236778, 236771, 236772, 25278, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38057, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 50362, 1083, 623, 501, 236772, 8242, 827, 623, 561, 5733, 1083, 78493, 3704, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 827, 623, 80043, 236779, 3250, 1083, 623, 1659, 11476, 827, 623, 687, 5742, 236779, 157775, 1083, 623, 100073, 13057, 9654, 827, 623, 147773, 236779, 99716, 1083, 11058, 75819, 236772, 17667, 617, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236812, 236825, 236764, 623, 76339, 1083, 236743, 236778, 236828, 236764, 623, 6736, 236751, 1083, 236743, 236770, 236771, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236812, 236810, 23179, 3714, 3704, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236778, 827, 623, 80043, 236779, 3250, 1083, 2303, 236764, 623, 687, 5742, 236779, 157775, 1083, 623, 100073, 9654, 827, 623, 147773, 236779, 99716, 1083, 11058, 88130, 236772, 17667, 617, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236812, 236778, 236764, 623, 76339, 1083, 236743, 236778, 236778, 236764, 623, 6736, 236751, 1083, 236743, 236770, 236778, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236800, 236771, 23179, 3714, 3704, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236770, 827, 623, 80043, 236779, 3250, 1083, 623, 77763, 3656, 827, 623, 687, 5742, 236779, 157775, 1083, 2303, 236764, 623, 147773, 236779, 99716, 1083, 11058, 17667, 617, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236812, 236771, 236764, 623, 76339, 1083, 236743, 236778, 236810, 236764, 623, 6736, 236751, 1083, 236743, 236828, 236764, 623, 74718, 1083, 236743, 236832, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236800, 236828, 25938, 1604, 623, 32677, 236779, 29263, 1083, 3714, 28128, 236779, 83824, 1083, 236743, 236800, 236828, 236810, 236771, 236771, 236764, 623, 540, 13419, 236779, 48578, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236764, 623, 149267, 236779, 720, 873, 1083, 236743, 236770, 236778, 236764, 623, 5000, 236779, 18553, 236779, 676, 1083, 236743, 236778, 236812, 236761, 236832, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 183305, 1083, 78493, 5000, 236779, 1201, 1083, 623, 172872, 4415, 6834, 236785, 236756, 236771, 236771, 524, 26489, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 1083, 236743, 236778, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 2714, 32373, 23179, 3714, 5000, 236779, 1201, 1083, 623, 111258, 11860, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 1083, 236743, 236770, 236828, 236832, 236810, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 74246, 3640, 25938, 1604, 623, 232144, 1083, 78493, 5000, 236779, 1201, 1083, 623, 44408, 548, 191056, 827, 623, 28877, 236779, 2084, 1083, 623, 113130, 827, 623, 44163, 1083, 236743, 236819, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 2368, 236772, 236777, 1220, 60403, 23179, 3714, 5000, 236779, 1201, 1083, 623, 43059, 48894, 3027, 113630, 827, 623, 28877, 236779, 2084, 1083, 623, 113130, 827, 623, 44163, 1083, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 98125, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19458, 236779, 547, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 38057, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 183305, 236779, 3849, 18218, 1083, 78493, 5000, 236779, 1201, 1083, 623, 126758, 76530, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236828, 236761, 236810, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 54952, 236785, 236756, 236771, 236771, 236744, 236819, 236745, 2486, 19627, 23179, 3714, 5000, 236779, 1201, 1083, 623, 147353, 60322, 827, 623, 3473, 1083, 623, 7225, 7429, 827, 623, 28877, 236779, 2084, 1083, 623, 62327, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236778, 236761, 236771, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 67157, 35678, 81924, 25938, 1604, 623, 232144, 236779, 3849, 18218, 1083, 78493, 5000, 236779, 1201, 1083, 623, 200004, 186182, 827, 623, 3473, 1083, 623, 155124, 5806, 827, 623, 28877, 236779, 2084, 1083, 623, 104161, 6235, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236800, 236770, 236761, 236778, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 2714, 32373, 23179, 3714, 5000, 236779, 1201, 1083, 623, 89958, 236748, 17176, 236785, 236756, 236771, 236771, 236744, 236770, 226478, 827, 623, 3473, 1083, 623, 36043, 102233, 827, 623, 28877, 236779, 2084, 1083, 623, 6796, 4921, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236771, 236761, 236771, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 215646, 24328, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 18218, 1083, 3714, 183305, 1083, 78493, 5000, 236779, 1201, 1083, 623, 236798, 236761, 76530, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 236779, 9910, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2543, 236779, 38057, 1083, 623, 51771, 12300, 236785, 236756, 236771, 236771, 236744, 236819, 236745, 2486, 19627, 23179, 3714, 5000, 236779, 1201, 1083, 623, 236863, 236761, 39242, 827, 623, 28877, 236779, 2084, 1083, 623, 62327, 827, 623, 44163, 236779, 9910, 1083, 236743, 236771, 236764, 623, 2543, 236779, 38057, 1083, 623, 74246, 4085, 25938, 1604, 623, 232144, 1083, 78493, 5000, 236779, 1201, 1083, 623, 236855, 236761, 62544, 827, 623, 28877, 236779, 2084, 1083, 623, 39654, 827, 623, 44163, 236779, 9910, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 1071, 236779, 38057, 1083, 623, 67157, 35678, 81924, 23179, 3714, 5000, 236779, 1201, 1083, 623, 236792, 236761, 123317, 827, 623, 28877, 236779, 2084, 1083, 623, 6796, 4921, 827, 623, 44163, 236779, 9910, 1083, 236743, 236771, 236764, 623, 1071, 236779, 38057, 1083, 623, 76317, 509, 14148, 48107, 25938, 1604, 623, 6725, 236779, 108430, 236779, 9910, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 55696, 236779, 9910, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 28877, 236779, 17873, 1083, 753, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 623, 21052, 1083, 3714, 19458, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 827, 623, 27617, 1083, 623, 79271, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 2394, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236812, 236828, 236761, 236825, 236792, 827, 623, 28128, 236779, 2394, 236779, 721, 236779, 5000, 1083, 6443, 236756, 236778, 236771, 552, 236832, 236761, 236812, 236800, 236792, 827, 623, 3473, 236779, 7284, 3843, 1083, 3714, 1708, 3259, 1083, 6443, 236756, 236778, 236771, 552, 236810, 236828, 236761, 236778, 236792, 827, 623, 6848, 3593, 616, 1083, 6443, 236756, 236778, 236771, 552, 236812, 236810, 236761, 236770, 236792, 827, 623, 2063, 16497, 1083, 6443, 236756, 236778, 236771, 552, 236800, 236770, 236761, 236828, 236792, 827, 623, 1909, 53347, 123075, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236800, 236761, 236810, 236792, 23179, 623, 11480, 236779, 2394, 236779, 28544, 1083, 78493, 1201, 1083, 623, 98810, 782, 1193, 17335, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 2394, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236828, 236761, 236819, 236792, 827, 623, 19648, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236832, 236772, 236771, 236825, 236772, 236800, 236771, 23179, 3714, 1201, 1083, 623, 42221, 42742, 178071, 827, 623, 3473, 1083, 623, 54659, 827, 623, 2394, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236825, 236761, 236810, 236792, 827, 623, 19648, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236825, 236772, 236800, 236771, 25938, 1604, 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, 1018, 219904, 8708, 236787, 21267, 4855, 11937, 16906, 9269, 16749, 1236, 1018, 138, 108, 1018, 236770, 236761, 9055, 53836, 1018, 138, 107, 236772, 5213, 51771, 5853, 66515, 236743, 236832, 236828, 236819, 236771, 568, 87877, 4323, 2165, 41007, 236779, 2305, 236929, 532, 2165, 38057, 236779, 3906, 59395, 138, 107, 236772, 5213, 6375, 66515, 19127, 236764, 6322, 236761, 138, 108, 1018, 236778, 236761, 16906, 3725, 56785, 1018, 138, 107, 236772, 5213, 68051, 34607, 66515, 11361, 236828, 236810, 236761, 236812, 236792, 568, 70353, 528, 2165, 38057, 236779, 3906, 59395, 138, 107, 236772, 5213, 9640, 86615, 66515, 11361, 236832, 236828, 236761, 236819, 236792, 568, 2108, 9876, 236787, 11361, 236825, 236761, 236810, 236792, 769, 138, 107, 236772, 5213, 9264, 28733, 66515, 55781, 4981, 563, 5213, 47971, 125546, 18494, 10928, 1003, 1262, 21016, 236761, 138, 108, 1018, 236800, 236761, 26333, 23195, 568, 236800, 89264, 62902, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 236772, 236778, 236770, 66515, 5674, 8559, 529, 5213, 236772, 237762, 236770, 236832, 236761, 236832, 236810, 236792, 1018, 568, 495, 236787, 11361, 236812, 236770, 236761, 236778, 236810, 236792, 236764, 855, 236787, 11361, 236778, 236800, 236761, 236810, 236792, 769, 138, 107, 236772, 5213, 236778, 236771, 236778, 236770, 236772, 236778, 236778, 66515, 5674, 7411, 529, 5213, 236862, 237762, 236770, 236778, 236761, 236832, 236792, 1018, 568, 495, 236787, 11361, 236770, 236828, 236761, 236810, 236792, 236764, 855, 236787, 11361, 236800, 236770, 236761, 236778, 236792, 769, 138, 107, 236772, 5213, 236778, 236771, 236778, 236778, 236772, 236778, 236800, 66515, 5674, 8559, 529, 5213, 236772, 237762, 236832, 236792, 1018, 568, 495, 236787, 11361, 236778, 236810, 236792, 236764, 855, 236787, 11361, 236770, 236828, 236792, 769, 138, 107, 236772, 5213, 9640, 26333, 101816, 66515, 5213, 237762, 236828, 236812, 236761, 236832, 236810, 236792, 1018, 568, 716, 3641, 236751, 11361, 236810, 236771, 236792, 14272, 769, 138, 108, 1018, 236812, 236761, 12726, 12155, 7728, 236761, 34607, 1018, 138, 107, 236772, 5213, 186106, 12726, 12155, 66515, 11361, 236770, 236812, 236828, 236761, 236825, 236792, 568, 2543, 2165, 16350, 236779, 2394, 236779, 1340, 236779, 28544, 59395, 138, 107, 236772, 5213, 87093, 7728, 236761, 12726, 12155, 3725, 906, 236758, 5710, 66515, 5213, 236832, 236812, 236908, 1018, 151969, 236770, 236812, 236828, 236761, 236825, 236792, 7728, 236761, 11361, 236828, 236810, 236761, 236812, 236792, 10471, 769, 138, 107, 236772, 5213, 9264, 28733, 66515, 3725, 906, 236758, 5710, 32839, 236743, 236778, 236771, 10014, 22169, 3435, 1024, 22164, 653, 10471, 1208, 87551, 236761, 138, 108, 1018, 236810, 236761, 19791, 7728, 236761, 109555, 1018, 138, 107, 236772, 5213, 236778, 236771, 236778, 236778, 236772, 236778, 236800, 66515, 17607, 25525, 568, 15206, 8140, 531, 19992, 9654, 769, 138, 107, 236772, 5213, 236778, 236771, 236778, 236770, 236772, 236778, 236778, 66515, 24126, 9654, 15430, 236761, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 236772, 236778, 236770, 66515, 9654, 3656, 36665, 568, 15206, 8140, 531, 17607, 769, 138, 107, 236772, 5213, 9264, 28733, 66515, 40035, 18214, 9785, 5213, 237762, 236828, 236812, 236761, 236832, 236810, 236792, 2657, 4921, 11704, 1018, 532, 5213, 47971, 24391, 1018, 29933, 4137, 1003, 13726, 4867, 10154, 236761, 138, 108, 1018, 236825, 236761, 9533, 161601, 1018, 138, 107, 236772, 5213, 4330, 22164, 32180, 66515, 49826, 2436, 1550, 151969, 236770, 236812, 236828, 236761, 236825, 236792, 236768, 8792, 32839, 7384, 10471, 236761, 138, 107, 236772, 5213, 36008, 3073, 66667, 66515, 4819, 11704, 528, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236770, 151969, 236812, 236770, 236761, 236778, 236810, 236792, 236768, 2180, 20688, 10471, 3877, 236761, 138, 107, 236772, 5213, 61766, 43163, 66515, 101212, 24391, 4981, 528, 2165, 38057, 236779, 3906, 236929, 12205, 100069, 4867, 55170, 236761, 138, 107, 236772, 5213, 8515, 3858, 236756, 847, 66515, 38492, 782, 1193, 17335, 151969, 236770, 236828, 236761, 236819, 236792, 236768, 532, 12557, 42742, 178071, 151969, 236770, 236825, 236761, 236810, 236792, 236768, 2754, 236743, 236778, 236812, 236908, 529, 18176, 1550, 9785, 4803, 29181, 236761, 138, 108, 1018, 201430, 1018, 138, 107, 236772, 41696, 6829, 24391, 529, 21267, 4855, 11937, 236858, 236751, 4867, 8735, 236761, 138, 107, 236772, 12713, 236772, 30449, 4155, 106240, 607, 4168, 236772, 7362, 34438, 568, 236744, 236761, 236759, 1126, 47652, 236764, 56588, 769, 138, 107, 236772, 10703, 11870, 3435, 623, 2394, 14440, 236775, 528, 4155, 29181, 568, 236744, 236761, 236759, 1126, 16971, 16788, 769, 138, 107, 236772, 9352, 3905, 4374, 13616, 568, 236744, 236761, 236759, 1126, 16906, 8853, 34885, 112611, 236858, 236751, 40895, 2338, 236743, 236778, 236771, 236778, 236771, 769, 138, 108, 1018, 30792, 1018, 138, 107, 201382, 4867, 2604, 22680, 2849, 236764, 2440, 496, 236743, 236832, 236812, 236908, 2436, 1550, 236786, 83122, 59725, 532, 100069, 24391, 4981, 236761, 9077, 10622, 1131, 4921, 71972, 532, 37731, 61404, 563, 68080, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 17395, 3435, 4867, 15797, 528, 496, 6693, 9624, 5975, 236761, 9187, 684, 1699, 3823, 236779, 2305, 531, 1586, 623, 11962, 4855, 11937, 236775, 568, 43791, 557, 51187, 5975, 236768, 532, 33205, 910, 5975, 5853, 236761, 4298, 236764, 1161, 5975, 236779, 3906, 607, 600, 5853, 531, 16807, 910, 1873, 4867, 111199, 236761, 12067, 236764, 4071, 236772, 30449, 5975, 236779, 3849, 18218, 573, 506, 3068, 1806, 18046, 531, 4187, 784, 4155, 16788, 236761, 1637, 4921, 12412, 9644, 11361, 236810, 236771, 236792, 2558, 236764, 1161, 2436, 236779, 2394, 236779, 1340, 236779, 28544, 531, 10769, 18176, 2436, 1550, 2342, 4785, 25229, 699, 5975, 236779, 3906, 236761, 1637, 85373, 9644, 236743, 236778, 236771, 10014, 18840, 5975, 236779, 15080, 1013, 573, 3736, 114461, 6658, 531, 11704, 236761, 13472, 236764, 8729, 496, 2072, 41671, 1027, 2604, 22680, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11128, 236779, 547, 1083, 623, 5094, 236799, 236772, 30722, 236772, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 11962, 4855, 11937, 827, 623, 2084, 1083, 623, 38057, 827, 623, 53337, 1083, 623, 78304, 827, 623, 7125, 1083, 623, 26179, 827, 623, 33686, 236779, 3906, 1083, 3714, 71560, 1083, 236743, 236770, 236819, 236819, 236828, 236764, 623, 540, 13419, 1083, 623, 9264, 11937, 36770, 127096, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236764, 623, 4000, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38057, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 1201, 1083, 623, 11962, 4855, 11937, 827, 623, 48231, 1083, 236743, 236770, 236819, 236778, 236800, 236764, 623, 540, 13419, 1083, 623, 9264, 11937, 36770, 827, 623, 7125, 1083, 623, 74246, 236764, 6322, 827, 623, 61054, 236779, 2763, 56785, 1083, 3714, 78067, 236779, 83122, 1083, 6443, 236756, 236778, 236771, 552, 236828, 236810, 236761, 236812, 236792, 827, 623, 6725, 236779, 115714, 1083, 6443, 236756, 236778, 236771, 552, 236832, 236828, 236761, 236819, 236792, 827, 623, 2108, 236779, 17341, 1083, 6443, 236756, 236778, 236771, 552, 236825, 236761, 236810, 236792, 827, 623, 76054, 236779, 4818, 1083, 623, 61433, 23179, 623, 236751, 3511, 236779, 13308, 1083, 3714, 6725, 236779, 28544, 1083, 236743, 236778, 236828, 236764, 623, 18553, 236779, 676, 1083, 236743, 236778, 236810, 236761, 236812, 236764, 623, 69282, 236779, 28544, 1083, 236743, 236770, 236778, 1263, 623, 3147, 236779, 29552, 1083, 78493, 1201, 1083, 623, 12720, 77771, 827, 623, 10639, 1083, 623, 79797, 827, 623, 1571, 694, 1083, 623, 236778, 236771, 236770, 236828, 236772, 25278, 23179, 3714, 1201, 1083, 623, 126758, 112611, 827, 623, 10639, 1083, 623, 52571, 8853, 827, 623, 1571, 694, 1083, 623, 236778, 236771, 236778, 236771, 236772, 25278, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38057, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 50362, 1083, 623, 501, 236772, 8242, 827, 623, 561, 5733, 1083, 78493, 3704, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 827, 623, 80043, 236779, 3250, 1083, 623, 1659, 11476, 827, 623, 687, 5742, 236779, 157775, 1083, 623, 100073, 13057, 9654, 827, 623, 147773, 236779, 99716, 1083, 11058, 75819, 236772, 17667, 617, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236812, 236825, 236764, 623, 76339, 1083, 236743, 236778, 236828, 236764, 623, 6736, 236751, 1083, 236743, 236770, 236771, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236812, 236810, 23179, 3714, 3704, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236778, 827, 623, 80043, 236779, 3250, 1083, 2303, 236764, 623, 687, 5742, 236779, 157775, 1083, 623, 100073, 9654, 827, 623, 147773, 236779, 99716, 1083, 11058, 88130, 236772, 17667, 617, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236812, 236778, 236764, 623, 76339, 1083, 236743, 236778, 236778, 236764, 623, 6736, 236751, 1083, 236743, 236770, 236778, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236800, 236771, 23179, 3714, 3704, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236770, 827, 623, 80043, 236779, 3250, 1083, 623, 77763, 3656, 827, 623, 687, 5742, 236779, 157775, 1083, 2303, 236764, 623, 147773, 236779, 99716, 1083, 11058, 17667, 617, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236812, 236771, 236764, 623, 76339, 1083, 236743, 236778, 236810, 236764, 623, 6736, 236751, 1083, 236743, 236828, 236764, 623, 74718, 1083, 236743, 236832, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236800, 236828, 25938, 1604, 623, 32677, 236779, 29263, 1083, 3714, 28128, 236779, 83824, 1083, 236743, 236800, 236828, 236810, 236771, 236771, 236764, 623, 540, 13419, 236779, 48578, 1083, 236743, 236812, 236778, 236771, 236771, 236771, 236764, 623, 149267, 236779, 720, 873, 1083, 236743, 236770, 236778, 236764, 623, 5000, 236779, 18553, 236779, 676, 1083, 236743, 236778, 236812, 236761, 236832, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 183305, 1083, 78493, 5000, 236779, 1201, 1083, 623, 172872, 4415, 6834, 236785, 236756, 236771, 236771, 524, 26489, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 1083, 236743, 236778, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 2714, 32373, 23179, 3714, 5000, 236779, 1201, 1083, 623, 111258, 11860, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 1083, 236743, 236770, 236828, 236832, 236810, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 74246, 3640, 25938, 1604, 623, 232144, 1083, 78493, 5000, 236779, 1201, 1083, 623, 44408, 548, 191056, 827, 623, 28877, 236779, 2084, 1083, 623, 113130, 827, 623, 44163, 1083, 236743, 236819, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 2368, 236772, 236777, 1220, 60403, 23179, 3714, 5000, 236779, 1201, 1083, 623, 43059, 48894, 3027, 113630, 827, 623, 28877, 236779, 2084, 1083, 623, 113130, 827, 623, 44163, 1083, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 45527, 236779, 38057, 1083, 623, 98125, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19458, 236779, 547, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 38057, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 183305, 236779, 3849, 18218, 1083, 78493, 5000, 236779, 1201, 1083, 623, 126758, 76530, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236828, 236761, 236810, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 54952, 236785, 236756, 236771, 236771, 236744, 236819, 236745, 2486, 19627, 23179, 3714, 5000, 236779, 1201, 1083, 623, 147353, 60322, 827, 623, 3473, 1083, 623, 7225, 7429, 827, 623, 28877, 236779, 2084, 1083, 623, 62327, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236778, 236761, 236771, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 67157, 35678, 81924, 25938, 1604, 623, 232144, 236779, 3849, 18218, 1083, 78493, 5000, 236779, 1201, 1083, 623, 200004, 186182, 827, 623, 3473, 1083, 623, 155124, 5806, 827, 623, 28877, 236779, 2084, 1083, 623, 104161, 6235, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236800, 236770, 236761, 236778, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 2714, 32373, 23179, 3714, 5000, 236779, 1201, 1083, 623, 89958, 236748, 17176, 236785, 236756, 236771, 236771, 236744, 236770, 226478, 827, 623, 3473, 1083, 623, 36043, 102233, 827, 623, 28877, 236779, 2084, 1083, 623, 6796, 4921, 827, 623, 44163, 1083, 6443, 236756, 236778, 236771, 552, 236771, 236761, 236771, 236792, 827, 623, 45527, 236779, 38057, 1083, 623, 215646, 24328, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 18218, 1083, 3714, 183305, 1083, 78493, 5000, 236779, 1201, 1083, 623, 236798, 236761, 76530, 827, 623, 28877, 236779, 2084, 1083, 623, 186597, 827, 623, 44163, 236779, 9910, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2543, 236779, 38057, 1083, 623, 51771, 12300, 236785, 236756, 236771, 236771, 236744, 236819, 236745, 2486, 19627, 23179, 3714, 5000, 236779, 1201, 1083, 623, 236863, 236761, 39242, 827, 623, 28877, 236779, 2084, 1083, 623, 62327, 827, 623, 44163, 236779, 9910, 1083, 236743, 236771, 236764, 623, 2543, 236779, 38057, 1083, 623, 74246, 4085, 25938, 1604, 623, 232144, 1083, 78493, 5000, 236779, 1201, 1083, 623, 236855, 236761, 62544, 827, 623, 28877, 236779, 2084, 1083, 623, 39654, 827, 623, 44163, 236779, 9910, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 1071, 236779, 38057, 1083, 623, 67157, 35678, 81924, 23179, 3714, 5000, 236779, 1201, 1083, 623, 236792, 236761, 123317, 827, 623, 28877, 236779, 2084, 1083, 623, 6796, 4921, 827, 623, 44163, 236779, 9910, 1083, 236743, 236771, 236764, 623, 1071, 236779, 38057, 1083, 623, 76317, 509, 14148, 48107, 25938, 1604, 623, 6725, 236779, 108430, 236779, 9910, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 55696, 236779, 9910, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 28877, 236779, 17873, 1083, 753, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 623, 21052, 1083, 3714, 19458, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 827, 623, 27617, 1083, 623, 79271, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 2394, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236812, 236828, 236761, 236825, 236792, 827, 623, 28128, 236779, 2394, 236779, 721, 236779, 5000, 1083, 6443, 236756, 236778, 236771, 552, 236832, 236761, 236812, 236800, 236792, 827, 623, 3473, 236779, 7284, 3843, 1083, 3714, 1708, 3259, 1083, 6443, 236756, 236778, 236771, 552, 236810, 236828, 236761, 236778, 236792, 827, 623, 6848, 3593, 616, 1083, 6443, 236756, 236778, 236771, 552, 236812, 236810, 236761, 236770, 236792, 827, 623, 2063, 16497, 1083, 6443, 236756, 236778, 236771, 552, 236800, 236770, 236761, 236828, 236792, 827, 623, 1909, 53347, 123075, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236800, 236761, 236810, 236792, 23179, 623, 11480, 236779, 2394, 236779, 28544, 1083, 78493, 1201, 1083, 623, 98810, 782, 1193, 17335, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 2394, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236828, 236761, 236819, 236792, 827, 623, 19648, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236832, 236772, 236771, 236825, 236772, 236800, 236771, 23179, 3714, 1201, 1083, 623, 42221, 42742, 178071, 827, 623, 3473, 1083, 623, 54659, 827, 623, 2394, 1083, 6443, 236756, 236778, 236771, 552, 236770, 236825, 236761, 236810, 236792, 827, 623, 19648, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236825, 236772, 236800, 236771, 25938, 1604, 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, 1018, 219904, 8708, 236787, 21267, 4855, 11937, 16906, 9269, 16749, 1236, 1018, 138, 108, 1018, 236770, 236761, 9055, 53836, 1018, 138, 107, 236772, 5213, 51771, 5853, 66515, 236743, 236832, 236828, 236819, 236771, 568, 87877, 4323, 2165, 41007, 236779, 2305, 236929, 532, 2165, 38057, 236779, 3906, 59395, 138, 107, 236772, 5213, 6375, 66515, 19127, 236764, 6322, 236761, 138, 108, 1018, 236778, 236761, 16906, 3725, 56785, 1018, 138, 107, 236772, 5213, 68051, 34607, 66515, 11361, 236828, 236810, 236761, 236812, 236792, 568, 70353, 528, 2165, 38057, 236779, 3906, 59395, 138, 107, 236772, 5213, 9640, 86615, 66515, 11361, 236832, 236828, 236761, 236819, 236792, 568, 2108, 9876, 236787, 11361, 236825, 236761, 236810, 236792, 769, 138, 107, 236772, 5213, 9264, 28733, 66515, 55781, 4981, 563, 5213, 47971, 125546, 18494, 10928, 1003, 1262, 21016, 236761, 138, 108, 1018, 236800, 236761, 26333, 23195, 568, 236800, 89264, 62902, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 236772, 236778, 236770, 66515, 5674, 8559, 529, 5213, 236772, 237762, 236770, 236832, 236761, 236832, 236810, 236792, 1018, 568, 495, 236787, 11361, 236812, 236770, 236761, 236778, 236810, 236792, 236764, 855, 236787, 11361, 236778, 236800, 236761, 236810, 236792, 769, 138, 107, 236772, 5213, 236778, 236771, 236778, 236770, 236772, 236778, 236778, 66515, 5674, 7411, 529, 5213, 236862, 237762, 236770, 236778, 236761, 236832, 236792, 1018, 568, 495, 236787, 11361, 236770, 236828, 236761, 236810, 236792, 236764, 855, 236787, 11361, 236800, 236770, 236761, 236778, 236792, 769, 138, 107, 236772, 5213, 236778, 236771, 236778, 236778, 236772, 236778, 236800, 66515, 5674, 8559, 529, 5213, 236772, 237762, 236832, 236792, 1018, 568, 495, 236787, 11361, 236778, 236810, 236792, 236764, 855, 236787, 11361, 236770, 236828, 236792, 769, 138, 107, 236772, 5213, 9640, 26333, 101816, 66515, 5213, 237762, 236828, 236812, 236761, 236832, 236810, 236792, 1018, 568, 716, 3641, 236751, 11361, 236810, 236771, 236792, 14272, 769, 138, 108, 1018, 236812, 236761, 12726, 12155, 7728, 236761, 34607, 1018, 138, 107, 236772, 5213, 186106, 12726, 12155, 66515, 11361, 236770, 236812, 236828, 236761, 236825, 236792, 568, 2543, 2165, 16350, 236779, 2394, 236779, 1340, 236779, 28544, 59395, 138, 107, 236772, 5213, 87093, 7728, 236761, 12726, 12155, 3725, 906, 236758, 5710, 66515, 5213, 236832, 236812, 236908, 1018, 151969, 236770, 236812, 236828, 236761, 236825, 236792, 7728, 236761, 11361, 236828, 236810, 236761, 236812, 236792, 10471, 769, 138, 107, 236772, 5213, 9264, 28733, 66515, 3725, 906, 236758, 5710, 32839, 236743, 236778, 236771, 10014, 22169, 3435, 1024, 22164, 653, 10471, 1208, 87551, 236761, 138, 108, 1018, 236810, 236761, 19791, 7728, 236761, 109555, 1018, 138, 107, 236772, 5213, 236778, 236771, 236778, 236778, 236772, 236778, 236800, 66515, 17607, 25525, 568, 15206, 8140, 531, 19992, 9654, 769, 138, 107, 236772, 5213, 236778, 236771, 236778, 236770, 236772, 236778, 236778, 66515, 24126, 9654, 15430, 236761, 138, 107, 236772, 5213, 236778, 236771, 236778, 236771, 236772, 236778, 236770, 66515, 9654, 3656, 36665, 568, 15206, 8140, 531, 17607, 769, 138, 107, 236772, 5213, 9264, 28733, 66515, 40035, 18214, 9785, 5213, 237762, 236828, 236812, 236761, 236832, 236810, 236792, 2657, 4921, 11704, 1018, 532, 5213, 47971, 24391, 1018, 29933, 4137, 1003, 13726, 4867, 10154, 236761, 138, 108, 1018, 236825, 236761, 9533, 161601, 1018, 138, 107, 236772, 5213, 4330, 22164, 32180, 66515, 49826, 2436, 1550, 151969, 236770, 236812, 236828, 236761, 236825, 236792, 236768, 8792, 32839, 7384, 10471, 236761, 138, 107, 236772, 5213, 36008, 3073, 66667, 66515, 4819, 11704, 528, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236770, 151969, 236812, 236770, 236761, 236778, 236810, 236792, 236768, 2180, 20688, 10471, 3877, 236761, 138, 107, 236772, 5213, 61766, 43163, 66515, 101212, 24391, 4981, 528, 2165, 38057, 236779, 3906, 236929, 12205, 100069, 4867, 55170, 236761, 138, 107, 236772, 5213, 8515, 3858, 236756, 847, 66515, 38492, 782, 1193, 17335, 151969, 236770, 236828, 236761, 236819, 236792, 236768, 532, 12557, 42742, 178071, 151969, 236770, 236825, 236761, 236810, 236792, 236768, 2754, 236743, 236778, 236812, 236908, 529, 18176, 1550, 9785, 4803, 29181, 236761, 138, 108, 1018, 201430, 1018, 138, 107, 236772, 41696, 6829, 24391, 529, 21267, 4855, 11937, 236858, 236751, 4867, 8735, 236761, 138, 107, 236772, 12713, 236772, 30449, 4155, 106240, 607, 4168, 236772, 7362, 34438, 568, 236744, 236761, 236759, 1126, 47652, 236764, 56588, 769, 138, 107, 236772, 10703, 11870, 3435, 623, 2394, 14440, 236775, 528, 4155, 29181, 568, 236744, 236761, 236759, 1126, 16971, 16788, 769, 138, 107, 236772, 9352, 3905, 4374, 13616, 568, 236744, 236761, 236759, 1126, 16906, 8853, 34885, 112611, 236858, 236751, 40895, 2338, 236743, 236778, 236771, 236778, 236771, 769, 138, 108, 1018, 30792, 1018, 138, 107, 201382, 4867, 2604, 22680, 2849, 236764, 2440, 496, 236743, 236832, 236812, 236908, 2436, 1550, 236786, 83122, 59725, 532, 100069, 24391, 4981, 236761, 9077, 10622, 1131, 4921, 71972, 532, 37731, 61404, 563, 68080, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 6524, 10308, 699, 3901, 8867, 1003, 28971, 6182, 528, 6429, 7797, 3997, 699, 506, 3068, 2069, 236761, 3792, 236789, 236751, 1460, 768, 672, 4181, 563, 3643, 17900, 1759, 4078, 653, 1164, 7107, 919, 38389, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 3910, 72280, 563, 24817, 4266, 11250, 30510, 123016, 827, 623, 6011, 1083, 623, 236776, 5268, 30386, 1131, 28971, 236789, 236751, 3853, 528, 36674, 29624, 532, 9286, 528, 33972, 236764, 607, 1624, 5254, 699, 3262, 30686, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 107, 14937, 3250, 1083, 623, 8724, 48848, 1662, 46320, 13000, 80831, 191773, 528, 35485, 827, 623, 6011, 1083, 623, 4199, 28971, 236772, 5140, 9834, 28250, 6436, 659, 13471, 15797, 528, 27313, 12230, 236764, 840, 93711, 7474, 496, 8319, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 107, 14937, 3250, 1083, 623, 159030, 236789, 236751, 42674, 236743, 236778, 23566, 161307, 27239, 56484, 573, 98312, 236751, 827, 623, 6011, 1083, 623, 24497, 8634, 44173, 42674, 236743, 236778, 12230, 2072, 236743, 236832, 236771, 236908, 2157, 44194, 236764, 3635, 8330, 25289, 2036, 74900, 25581, 22109, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 28971, 6429, 7797, 18783, 699, 3901, 8867, 236787, 108, 236770, 236761, 5213, 178475, 54139, 66515, 18787, 30686, 659, 1699, 28971, 531, 4087, 9061, 699, 11879, 531, 27319, 236764, 607, 49022, 9286, 22656, 568, 27403, 236743, 236770, 236810, 769, 138, 107, 236778, 236761, 5213, 222516, 54524, 66515, 152213, 1662, 9834, 3797, 659, 11910, 27313, 15797, 528, 11675, 236764, 3635, 24968, 7474, 3909, 568, 27403, 236743, 236770, 236828, 769, 138, 107, 236800, 236761, 5213, 23077, 62480, 66515, 98312, 236751, 44173, 49180, 42674, 236743, 236778, 12230, 2072, 236743, 236832, 236771, 236908, 3718, 12562, 12412, 840, 3392, 8330, 80991, 568, 27403, 236743, 236770, 236819, 769, 138, 108, 1018, 203949, 66515, 72280, 3831, 10231, 1550, 528, 13471, 5384, 532, 15797, 1651, 14526, 29624, 236761, 3153, 236764, 93711, 532, 8330, 16783, 2036, 4576, 1061, 31653, 22109, 236761, 669, 4181, 563, 17900, 36989, 4078, 11974, 840, 18116, 236789, 236745, 3819, 11105, 14956, 623, 125460, 236775, 4981, 236761, 106, 107, 105, 2364, 107, 236777, 1461, 531, 17318, 49180, 42674, 236743, 236778, 5434, 6950, 528, 506, 5142, 236743, 236770, 236819, 4676, 919, 12030, 236761, 28344, 611, 33205, 3530, 1624, 5254, 699, 3901, 8867, 1003, 98312, 236751, 22743, 1239, 12230, 573, 6429, 7797, 16074, 236881, 564, 1202, 8330, 4889, 1003, 910, 12308, 10884, 236764, 3364, 8800, 3298, 1913, 22109, 236764, 532, 223951, 19455, 6807, 506, 236743, 236832, 236771, 236908, 11317, 9095, 3539, 236761, 3792, 236858, 236751, 16807, 768, 1239, 2157, 15749, 2768, 872, 1208, 55170, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 33205, 4767, 4889, 1003, 3530, 1624, 5254, 6950, 528, 3901, 8867, 10308, 1343, 506, 2487, 6436, 236761, 669, 3901, 8867, 9299, 12434, 1186, 4728, 4676, 19293, 236764, 92681, 236764, 532, 14314, 14069, 753, 711, 8330, 13049, 653, 60333, 19455, 1003, 3141, 61949, 236761, 108, 2021, 16807, 506, 236743, 236832, 236771, 236908, 11317, 9095, 3539, 236764, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 13863, 506, 3303, 3901, 8867, 4676, 4323, 1061, 5125, 5058, 107, 236778, 236761, 11696, 573, 54352, 529, 3530, 98312, 1624, 5254, 568, 236744, 236761, 236759, 1126, 2544, 5618, 6950, 236768, 107, 236800, 236761, 7179, 768, 1724, 4699, 6469, 8330, 2173, 26429, 653, 8688, 7248, 108, 38786, 611, 1133, 786, 531, 3927, 573, 2870, 49180, 42674, 236743, 236778, 6429, 7797, 1624, 5254, 699, 1032, 7021, 236764, 653, 59638, 1023, 4313, 531, 32187, 28971, 2157, 9286, 8787, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 38179, 531, 669, 43112, 532, 3927, 573, 10308, 49326, 623, 159030, 42674, 236743, 236778, 6429, 7797, 1624, 5254, 236775, 653, 623, 173093, 28971, 22109, 2157, 19455, 236775, 699, 506, 3068, 2297, 236761, 1637, 901, 6220, 8330, 8744, 236764, 2679, 24242, 617, 573, 2436, 3671, 7248, 600, 2473, 27834, 1288, 1262, 236761, 564, 1202, 12625, 8698, 653, 32542, 531, 18855, 506, 11317, 9095, 3539, 237028, 236766, 5090, 92681, 2810, 236858, 236745, 3463, 625, 236761, 22282, 77372, 7021, 600, 47669, 3530, 4699, 653, 8688, 80293, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 94156, 1083, 623, 894, 899, 60392, 236789, 236751, 42674, 236743, 236778, 30510, 35211, 54832, 201217, 27239, 63306, 684, 236743, 236832, 236778, 70887, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 17470, 236772, 1064, 236772, 236752, 236778, 236772, 71703, 236772, 10864, 236772, 4925, 236772, 44215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 128996, 3671, 529, 58445, 60392, 236789, 236751, 13859, 607, 31170, 14202, 44625, 1037, 21577, 236743, 236828, 236819, 236908, 11442, 19960, 2782, 532, 609, 236771, 236761, 236771, 236800, 4398, 12412, 810, 12562, 528, 4071, 236772, 12148, 33972, 16074, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 173093, 72280, 121775, 236787, 11117, 116589, 699, 103156, 236789, 236751, 106554, 43645, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 4671, 236763, 236772, 75473, 236772, 13769, 236772, 28263, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 9818, 2748, 3831, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 1944, 48197, 10683, 609, 236812, 236761, 236778, 236792, 44151, 528, 7548, 8487, 12412, 1024, 1366, 236770, 236743, 236778, 236771, 236778, 236810, 1699, 106554, 236789, 236751, 42674, 236743, 236778, 3465, 236764, 607, 8688, 5384, 47284, 609, 236828, 236764, 236810, 236771, 236771, 810, 1960, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 10085, 501, 57867, 8708, 236787, 49180, 42674, 236743, 236778, 121775, 6486, 130963, 236743, 236770, 236771, 236792, 23531, 184345, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 1064, 236772, 236752, 236778, 236772, 96533, 236772, 15443, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 6011, 1083, 623, 4199, 2173, 10242, 80590, 56288, 236789, 236751, 28971, 236772, 5140, 18241, 1458, 23673, 609, 236770, 236778, 236792, 7384, 15749, 1343, 88949, 5997, 236789, 236751, 11317, 3904, 236764, 607, 12562, 5384, 236743, 236819, 236810, 236908, 3718, 1082, 49180, 1689, 2108, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 29415, 2883, 236789, 236751, 12713, 236772, 29415, 30510, 35211, 23130, 153938, 191773, 528, 115173, 29235, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 10864, 2883, 236772, 582, 3178, 574, 236772, 4925, 236772, 44215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 219904, 1131, 35211, 2883, 236789, 236751, 42674, 236743, 236778, 8688, 573, 14836, 16074, 3831, 236743, 236825, 236771, 236908, 9095, 528, 25947, 9314, 2782, 532, 236743, 236828, 236771, 236908, 3718, 63602, 1262, 5384, 3418, 236743, 236770, 236810, 18336, 27818, 528, 26168, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 190705, 74850, 645, 19215, 573, 98312, 72280, 121775, 528, 11514, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 17485, 236772, 121662, 236772, 53507, 236772, 4671, 236763, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236778, 827, 623, 6011, 1083, 623, 35434, 529, 11514, 236789, 236751, 14402, 5635, 10318, 4100, 5132, 9375, 529, 236743, 236778, 236771, 236771, 236771, 1944, 8634, 6807, 14143, 5384, 47284, 621, 236756, 236778, 236771, 552, 236770, 236812, 236764, 236771, 236771, 236771, 236764, 200559, 28971, 15749, 573, 236743, 236800, 236828, 236908, 529, 26573, 10498, 623, 1862, 1083, 623, 45789, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 204138, 236779, 12103, 1083, 236743, 236810, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 2305, 236779, 2289, 1083, 623, 236771, 236761, 236771, 236812, 236778, 236751, 827, 623, 10479, 236779, 103411, 1083, 623, 500, 113458, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1346, 7798, 12396, 699, 669, 43112, 236789, 236751, 4181, 3336, 600, 5467, 3421, 822, 2864, 236787, 108, 236770, 236761, 5213, 894, 899, 60392, 833, 44625, 1037, 15316, 16785, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 236743, 236832, 236778, 236908, 11317, 9095, 6131, 236771, 236761, 236771, 236800, 34561, 25081, 2157, 779, 236743, 236828, 236819, 236908, 11442, 53965, 528, 31170, 6429, 21896, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 894, 899, 60392, 15316, 16785, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 17470, 236772, 1064, 236772, 236752, 236778, 236772, 71703, 236772, 10864, 236772, 4925, 236772, 44215, 236768, 138, 108, 236778, 236761, 5213, 22527, 1891, 833, 106554, 98312, 13768, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 48197, 10683, 609, 236812, 236761, 236778, 236792, 2558, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 779, 609, 236828, 236764, 236810, 236771, 236771, 34561, 8688, 2157, 810, 1960, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 77806, 11117, 13768, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 4671, 236763, 236772, 75473, 236772, 13769, 236772, 28263, 236768, 138, 108, 236800, 236761, 5213, 188624, 833, 88949, 5997, 8708, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 609, 236770, 236778, 236792, 7384, 15749, 236764, 236743, 236819, 236810, 236908, 3718, 12412, 7728, 49180, 1689, 2108, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 184970, 5997, 121775, 8708, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 1064, 236772, 236752, 236778, 236772, 96533, 236772, 15443, 236768, 138, 108, 236812, 236761, 5213, 29415, 2883, 115173, 29235, 54832, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 236743, 236828, 236771, 236908, 3718, 63602, 5384, 236764, 236743, 236825, 236771, 236908, 11442, 25947, 9314, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 29415, 2883, 15316, 16785, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 10864, 2883, 236772, 582, 3178, 574, 236772, 4925, 236772, 44215, 236768, 138, 108, 1018, 87228, 529, 236743, 236832, 236771, 236908, 55246, 54524, 29382, 66515, 138, 107, 818, 43112, 236789, 236751, 1624, 5254, 18855, 506, 623, 236832, 236771, 236908, 16256, 15749, 2644, 6950, 528, 3901, 8867, 236764, 607, 58445, 60392, 568, 236832, 236778, 11376, 532, 56288, 236786, 184970, 5997, 568, 236819, 236810, 236908, 15520, 34957, 672, 30998, 236761, 3153, 236764, 103156, 236789, 236751, 1262, 21577, 3629, 5213, 61309, 5384, 1018, 6131, 236828, 236764, 236810, 236771, 236771, 98312, 4398, 236768, 532, 506, 11514, 17286, 3671, 20756, 14143, 14348, 600, 740, 9815, 15749, 573, 236743, 236800, 236828, 236908, 529, 8634, 236761, 108, 1018, 9272, 50228, 573, 1783, 13462, 13768, 66515, 138, 107, 236772, 18975, 564, 1161, 24242, 617, 236789, 236751, 2436, 3671, 6436, 531, 1586, 77002, 80293, 653, 8330, 2173, 26429, 699, 58445, 60392, 236786, 184970, 5997, 236881, 138, 107, 236772, 21284, 611, 1133, 786, 531, 10769, 42674, 236743, 236778, 11317, 9108, 568, 236744, 236761, 236759, 1126, 88949, 5997, 7728, 106554, 236768, 3418, 1239, 61949, 236881, 138, 108, 818, 1262, 44898, 42674, 236743, 236778, 5434, 5518, 14649, 12562, 2157, 44194, 236764, 840, 506, 2587, 6083, 7087, 41346, 1239, 22656, 2342, 82425, 8330, 532, 17286, 80991, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 6524, 10308, 699, 3901, 8867, 1003, 28971, 6182, 528, 6429, 7797, 3997, 699, 506, 3068, 2069, 236761, 3792, 236789, 236751, 1460, 768, 672, 4181, 563, 3643, 17900, 1759, 4078, 653, 1164, 7107, 919, 38389, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 3910, 72280, 563, 24817, 4266, 11250, 30510, 123016, 827, 623, 6011, 1083, 623, 236776, 5268, 30386, 1131, 28971, 236789, 236751, 3853, 528, 36674, 29624, 532, 9286, 528, 33972, 236764, 607, 1624, 5254, 699, 3262, 30686, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 107, 14937, 3250, 1083, 623, 8724, 48848, 1662, 46320, 13000, 80831, 191773, 528, 35485, 827, 623, 6011, 1083, 623, 4199, 28971, 236772, 5140, 9834, 28250, 6436, 659, 13471, 15797, 528, 27313, 12230, 236764, 840, 93711, 7474, 496, 8319, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 107, 14937, 3250, 1083, 623, 159030, 236789, 236751, 42674, 236743, 236778, 23566, 161307, 27239, 56484, 573, 98312, 236751, 827, 623, 6011, 1083, 623, 24497, 8634, 44173, 42674, 236743, 236778, 12230, 2072, 236743, 236832, 236771, 236908, 2157, 44194, 236764, 3635, 8330, 25289, 2036, 74900, 25581, 22109, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 28971, 6429, 7797, 18783, 699, 3901, 8867, 236787, 108, 236770, 236761, 5213, 178475, 54139, 66515, 18787, 30686, 659, 1699, 28971, 531, 4087, 9061, 699, 11879, 531, 27319, 236764, 607, 49022, 9286, 22656, 568, 27403, 236743, 236770, 236810, 769, 138, 107, 236778, 236761, 5213, 222516, 54524, 66515, 152213, 1662, 9834, 3797, 659, 11910, 27313, 15797, 528, 11675, 236764, 3635, 24968, 7474, 3909, 568, 27403, 236743, 236770, 236828, 769, 138, 107, 236800, 236761, 5213, 23077, 62480, 66515, 98312, 236751, 44173, 49180, 42674, 236743, 236778, 12230, 2072, 236743, 236832, 236771, 236908, 3718, 12562, 12412, 840, 3392, 8330, 80991, 568, 27403, 236743, 236770, 236819, 769, 138, 108, 1018, 203949, 66515, 72280, 3831, 10231, 1550, 528, 13471, 5384, 532, 15797, 1651, 14526, 29624, 236761, 3153, 236764, 93711, 532, 8330, 16783, 2036, 4576, 1061, 31653, 22109, 236761, 669, 4181, 563, 17900, 36989, 4078, 11974, 840, 18116, 236789, 236745, 3819, 11105, 14956, 623, 125460, 236775, 4981, 236761, 106, 107, 105, 2364, 107, 236777, 1461, 531, 17318, 49180, 42674, 236743, 236778, 5434, 6950, 528, 506, 5142, 236743, 236770, 236819, 4676, 919, 12030, 236761, 28344, 611, 33205, 3530, 1624, 5254, 699, 3901, 8867, 1003, 98312, 236751, 22743, 1239, 12230, 573, 6429, 7797, 16074, 236881, 564, 1202, 8330, 4889, 1003, 910, 12308, 10884, 236764, 3364, 8800, 3298, 1913, 22109, 236764, 532, 223951, 19455, 6807, 506, 236743, 236832, 236771, 236908, 11317, 9095, 3539, 236761, 3792, 236858, 236751, 16807, 768, 1239, 2157, 15749, 2768, 872, 1208, 55170, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 33205, 4767, 4889, 1003, 3530, 1624, 5254, 6950, 528, 3901, 8867, 10308, 1343, 506, 2487, 6436, 236761, 669, 3901, 8867, 9299, 12434, 1186, 4728, 4676, 19293, 236764, 92681, 236764, 532, 14314, 14069, 753, 711, 8330, 13049, 653, 60333, 19455, 1003, 3141, 61949, 236761, 108, 2021, 16807, 506, 236743, 236832, 236771, 236908, 11317, 9095, 3539, 236764, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 13863, 506, 3303, 3901, 8867, 4676, 4323, 1061, 5125, 5058, 107, 236778, 236761, 11696, 573, 54352, 529, 3530, 98312, 1624, 5254, 568, 236744, 236761, 236759, 1126, 2544, 5618, 6950, 236768, 107, 236800, 236761, 7179, 768, 1724, 4699, 6469, 8330, 2173, 26429, 653, 8688, 7248, 108, 38786, 611, 1133, 786, 531, 3927, 573, 2870, 49180, 42674, 236743, 236778, 6429, 7797, 1624, 5254, 699, 1032, 7021, 236764, 653, 59638, 1023, 4313, 531, 32187, 28971, 2157, 9286, 8787, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 38179, 531, 669, 43112, 532, 3927, 573, 10308, 49326, 623, 159030, 42674, 236743, 236778, 6429, 7797, 1624, 5254, 236775, 653, 623, 173093, 28971, 22109, 2157, 19455, 236775, 699, 506, 3068, 2297, 236761, 1637, 901, 6220, 8330, 8744, 236764, 2679, 24242, 617, 573, 2436, 3671, 7248, 600, 2473, 27834, 1288, 1262, 236761, 564, 1202, 12625, 8698, 653, 32542, 531, 18855, 506, 11317, 9095, 3539, 237028, 236766, 5090, 92681, 2810, 236858, 236745, 3463, 625, 236761, 22282, 77372, 7021, 600, 47669, 3530, 4699, 653, 8688, 80293, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 94156, 1083, 623, 894, 899, 60392, 236789, 236751, 42674, 236743, 236778, 30510, 35211, 54832, 201217, 27239, 63306, 684, 236743, 236832, 236778, 70887, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 17470, 236772, 1064, 236772, 236752, 236778, 236772, 71703, 236772, 10864, 236772, 4925, 236772, 44215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 128996, 3671, 529, 58445, 60392, 236789, 236751, 13859, 607, 31170, 14202, 44625, 1037, 21577, 236743, 236828, 236819, 236908, 11442, 19960, 2782, 532, 609, 236771, 236761, 236771, 236800, 4398, 12412, 810, 12562, 528, 4071, 236772, 12148, 33972, 16074, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 173093, 72280, 121775, 236787, 11117, 116589, 699, 103156, 236789, 236751, 106554, 43645, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 4671, 236763, 236772, 75473, 236772, 13769, 236772, 28263, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 9818, 2748, 3831, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 1944, 48197, 10683, 609, 236812, 236761, 236778, 236792, 44151, 528, 7548, 8487, 12412, 1024, 1366, 236770, 236743, 236778, 236771, 236778, 236810, 1699, 106554, 236789, 236751, 42674, 236743, 236778, 3465, 236764, 607, 8688, 5384, 47284, 609, 236828, 236764, 236810, 236771, 236771, 810, 1960, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 10085, 501, 57867, 8708, 236787, 49180, 42674, 236743, 236778, 121775, 6486, 130963, 236743, 236770, 236771, 236792, 23531, 184345, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 1064, 236772, 236752, 236778, 236772, 96533, 236772, 15443, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 6011, 1083, 623, 4199, 2173, 10242, 80590, 56288, 236789, 236751, 28971, 236772, 5140, 18241, 1458, 23673, 609, 236770, 236778, 236792, 7384, 15749, 1343, 88949, 5997, 236789, 236751, 11317, 3904, 236764, 607, 12562, 5384, 236743, 236819, 236810, 236908, 3718, 1082, 49180, 1689, 2108, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 29415, 2883, 236789, 236751, 12713, 236772, 29415, 30510, 35211, 23130, 153938, 191773, 528, 115173, 29235, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 10864, 2883, 236772, 582, 3178, 574, 236772, 4925, 236772, 44215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 219904, 1131, 35211, 2883, 236789, 236751, 42674, 236743, 236778, 8688, 573, 14836, 16074, 3831, 236743, 236825, 236771, 236908, 9095, 528, 25947, 9314, 2782, 532, 236743, 236828, 236771, 236908, 3718, 63602, 1262, 5384, 3418, 236743, 236770, 236810, 18336, 27818, 528, 26168, 10498, 623, 1862, 1083, 623, 45789, 23179, 3714, 94156, 1083, 623, 190705, 74850, 645, 19215, 573, 98312, 72280, 121775, 528, 11514, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 17485, 236772, 121662, 236772, 53507, 236772, 4671, 236763, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236778, 827, 623, 6011, 1083, 623, 35434, 529, 11514, 236789, 236751, 14402, 5635, 10318, 4100, 5132, 9375, 529, 236743, 236778, 236771, 236771, 236771, 1944, 8634, 6807, 14143, 5384, 47284, 621, 236756, 236778, 236771, 552, 236770, 236812, 236764, 236771, 236771, 236771, 236764, 200559, 28971, 15749, 573, 236743, 236800, 236828, 236908, 529, 26573, 10498, 623, 1862, 1083, 623, 45789, 25938, 1604, 623, 2305, 236779, 21052, 1083, 3714, 204138, 236779, 12103, 1083, 236743, 236810, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 2305, 236779, 2289, 1083, 623, 236771, 236761, 236771, 236812, 236778, 236751, 827, 623, 10479, 236779, 103411, 1083, 623, 500, 113458, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1346, 7798, 12396, 699, 669, 43112, 236789, 236751, 4181, 3336, 600, 5467, 3421, 822, 2864, 236787, 108, 236770, 236761, 5213, 894, 899, 60392, 833, 44625, 1037, 15316, 16785, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 236743, 236832, 236778, 236908, 11317, 9095, 6131, 236771, 236761, 236771, 236800, 34561, 25081, 2157, 779, 236743, 236828, 236819, 236908, 11442, 53965, 528, 31170, 6429, 21896, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 894, 899, 60392, 15316, 16785, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 17470, 236772, 1064, 236772, 236752, 236778, 236772, 71703, 236772, 10864, 236772, 4925, 236772, 44215, 236768, 138, 108, 236778, 236761, 5213, 22527, 1891, 833, 106554, 98312, 13768, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 48197, 10683, 609, 236812, 236761, 236778, 236792, 2558, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 779, 609, 236828, 236764, 236810, 236771, 236771, 34561, 8688, 2157, 810, 1960, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 77806, 11117, 13768, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 4671, 236763, 236772, 75473, 236772, 13769, 236772, 28263, 236768, 138, 108, 236800, 236761, 5213, 188624, 833, 88949, 5997, 8708, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 609, 236770, 236778, 236792, 7384, 15749, 236764, 236743, 236819, 236810, 236908, 3718, 12412, 7728, 49180, 1689, 2108, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 184970, 5997, 121775, 8708, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 1064, 236772, 236752, 236778, 236772, 96533, 236772, 15443, 236768, 138, 108, 236812, 236761, 5213, 29415, 2883, 115173, 29235, 54832, 1018, 138, 107, 139, 236772, 5213, 58946, 66515, 236743, 236828, 236771, 236908, 3718, 63602, 5384, 236764, 236743, 236825, 236771, 236908, 11442, 25947, 9314, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 29415, 2883, 15316, 16785, 5457, 2574, 1411, 2769, 236761, 1437, 107259, 236761, 854, 236786, 10864, 2883, 236772, 582, 3178, 574, 236772, 4925, 236772, 44215, 236768, 138, 108, 1018, 87228, 529, 236743, 236832, 236771, 236908, 55246, 54524, 29382, 66515, 138, 107, 818, 43112, 236789, 236751, 1624, 5254, 18855, 506, 623, 236832, 236771, 236908, 16256, 15749, 2644, 6950, 528, 3901, 8867, 236764, 607, 58445, 60392, 568, 236832, 236778, 11376, 532, 56288, 236786, 184970, 5997, 568, 236819, 236810, 236908, 15520, 34957, 672, 30998, 236761, 3153, 236764, 103156, 236789, 236751, 1262, 21577, 3629, 5213, 61309, 5384, 1018, 6131, 236828, 236764, 236810, 236771, 236771, 98312, 4398, 236768, 532, 506, 11514, 17286, 3671, 20756, 14143, 14348, 600, 740, 9815, 15749, 573, 236743, 236800, 236828, 236908, 529, 8634, 236761, 108, 1018, 9272, 50228, 573, 1783, 13462, 13768, 66515, 138, 107, 236772, 18975, 564, 1161, 24242, 617, 236789, 236751, 2436, 3671, 6436, 531, 1586, 77002, 80293, 653, 8330, 2173, 26429, 699, 58445, 60392, 236786, 184970, 5997, 236881, 138, 107, 236772, 21284, 611, 1133, 786, 531, 10769, 42674, 236743, 236778, 11317, 9108, 568, 236744, 236761, 236759, 1126, 88949, 5997, 7728, 106554, 236768, 3418, 1239, 61949, 236881, 138, 108, 818, 1262, 44898, 42674, 236743, 236778, 5434, 5518, 14649, 12562, 2157, 44194, 236764, 840, 506, 2587, 6083, 7087, 41346, 1239, 22656, 2342, 82425, 8330, 532, 17286, 80991, 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, 35372, 236761, 564, 236789, 236757, 6995, 496, 8935, 7946, 531, 15687, 573, 1041, 7363, 1610, 15491, 2203, 532, 1461, 531, 5330, 564, 735, 1070, 2196, 4972, 531, 1441, 1913, 77284, 236761, 2024, 1171, 236764, 564, 1202, 531, 9128, 506, 100468, 573, 15687, 531, 1161, 506, 4338, 2891, 3393, 573, 506, 48349, 13516, 236761, 3199, 611, 1502, 684, 67931, 506, 1694, 529, 990, 108932, 532, 21558, 506, 886, 573, 15687, 236881, 4298, 236764, 564, 236789, 859, 1161, 9405, 236789, 236751, 2891, 3393, 568, 4070, 236768, 607, 39924, 756, 893, 236772, 4070, 236789, 531, 974, 506, 2196, 4972, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 108932, 1083, 78493, 13319, 1083, 623, 89946, 827, 623, 99883, 1083, 623, 26179, 236786, 89946, 827, 623, 101696, 236779, 10617, 1083, 10955, 236771, 236770, 236787, 236771, 236771, 827, 623, 30711, 236779, 10617, 1083, 10955, 236771, 236778, 236787, 236771, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6796, 236779, 35365, 1083, 78493, 3250, 1083, 623, 236814, 3510, 827, 623, 7777, 1083, 623, 147062, 3154, 985, 2970, 69941, 1076, 528, 506, 157318, 236764, 18482, 4592, 236772, 53759, 17262, 532, 16470, 82663, 827, 623, 206410, 1083, 11058, 5189, 827, 623, 137005, 14255, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236832, 23179, 3714, 3250, 1083, 623, 61789, 2834, 827, 623, 7777, 1083, 623, 7306, 236772, 624, 236772, 10058, 2970, 2290, 607, 1526, 236772, 64976, 236743, 236770, 236819, 236800, 236771, 236751, 12328, 3117, 532, 14798, 16044, 34998, 827, 623, 206410, 1083, 11058, 5189, 827, 623, 137005, 827, 623, 136331, 21446, 14255, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236832, 25938, 1604, 623, 50362, 1083, 623, 893, 236772, 4070, 827, 623, 14801, 1083, 623, 4070, 827, 623, 6010, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 2196, 4972, 2487, 580, 506, 48349, 15268, 13516, 573, 9405, 568, 4070, 236768, 607, 39924, 2165, 893, 236772, 4070, 236929, 618, 529, 6198, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 7243, 108, 1018, 236770, 236761, 210186, 1018, 138, 107, 236829, 9770, 149681, 17077, 3154, 985, 2970, 69941, 1076, 528, 506, 157318, 236764, 18482, 4592, 236772, 53759, 17262, 532, 16470, 82663, 138, 107, 236829, 134331, 149681, 7993, 236764, 30482, 138, 107, 236829, 51164, 149681, 6198, 236743, 236770, 236771, 1271, 6198, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 1018, 236778, 236761, 11193, 2834, 1018, 138, 107, 236829, 9770, 149681, 9793, 236772, 624, 236772, 10058, 2970, 2290, 607, 1526, 236772, 64976, 236743, 236770, 236819, 236800, 236771, 236751, 12328, 3117, 532, 14798, 16044, 34998, 138, 107, 236829, 134331, 149681, 7993, 236764, 30482, 236764, 30811, 21446, 138, 107, 236829, 51164, 149681, 6198, 236743, 236770, 236771, 1271, 6198, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 7243, 108, 89946, 236858, 236751, 100468, 563, 5213, 26179, 236786, 89946, 1018, 568, 13902, 236862, 236770, 236764, 59528, 236862, 236778, 1913, 58745, 16011, 990, 779, 834, 822, 2891, 3393, 2165, 4070, 236929, 532, 39924, 2165, 893, 236772, 4070, 236929, 659, 15195, 28331, 236761, 28819, 822, 7363, 1610, 15491, 2203, 532, 18612, 77284, 528, 15687, 236888, 236743, 246519, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 35372, 236761, 564, 236789, 236757, 6995, 496, 8935, 7946, 531, 15687, 573, 1041, 7363, 1610, 15491, 2203, 532, 1461, 531, 5330, 564, 735, 1070, 2196, 4972, 531, 1441, 1913, 77284, 236761, 2024, 1171, 236764, 564, 1202, 531, 9128, 506, 100468, 573, 15687, 531, 1161, 506, 4338, 2891, 3393, 573, 506, 48349, 13516, 236761, 3199, 611, 1502, 684, 67931, 506, 1694, 529, 990, 108932, 532, 21558, 506, 886, 573, 15687, 236881, 4298, 236764, 564, 236789, 859, 1161, 9405, 236789, 236751, 2891, 3393, 568, 4070, 236768, 607, 39924, 756, 893, 236772, 4070, 236789, 531, 974, 506, 2196, 4972, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 108932, 1083, 78493, 13319, 1083, 623, 89946, 827, 623, 99883, 1083, 623, 26179, 236786, 89946, 827, 623, 101696, 236779, 10617, 1083, 10955, 236771, 236770, 236787, 236771, 236771, 827, 623, 30711, 236779, 10617, 1083, 10955, 236771, 236778, 236787, 236771, 236771, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6796, 236779, 35365, 1083, 78493, 3250, 1083, 623, 236814, 3510, 827, 623, 7777, 1083, 623, 147062, 3154, 985, 2970, 69941, 1076, 528, 506, 157318, 236764, 18482, 4592, 236772, 53759, 17262, 532, 16470, 82663, 827, 623, 206410, 1083, 11058, 5189, 827, 623, 137005, 14255, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236832, 23179, 3714, 3250, 1083, 623, 61789, 2834, 827, 623, 7777, 1083, 623, 7306, 236772, 624, 236772, 10058, 2970, 2290, 607, 1526, 236772, 64976, 236743, 236770, 236819, 236800, 236771, 236751, 12328, 3117, 532, 14798, 16044, 34998, 827, 623, 206410, 1083, 11058, 5189, 827, 623, 137005, 827, 623, 136331, 21446, 14255, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236832, 25938, 1604, 623, 50362, 1083, 623, 893, 236772, 4070, 827, 623, 14801, 1083, 623, 4070, 827, 623, 6010, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 2196, 4972, 2487, 580, 506, 48349, 15268, 13516, 573, 9405, 568, 4070, 236768, 607, 39924, 2165, 893, 236772, 4070, 236929, 618, 529, 6198, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 7243, 108, 1018, 236770, 236761, 210186, 1018, 138, 107, 236829, 9770, 149681, 17077, 3154, 985, 2970, 69941, 1076, 528, 506, 157318, 236764, 18482, 4592, 236772, 53759, 17262, 532, 16470, 82663, 138, 107, 236829, 134331, 149681, 7993, 236764, 30482, 138, 107, 236829, 51164, 149681, 6198, 236743, 236770, 236771, 1271, 6198, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 1018, 236778, 236761, 11193, 2834, 1018, 138, 107, 236829, 9770, 149681, 9793, 236772, 624, 236772, 10058, 2970, 2290, 607, 1526, 236772, 64976, 236743, 236770, 236819, 236800, 236771, 236751, 12328, 3117, 532, 14798, 16044, 34998, 138, 107, 236829, 134331, 149681, 7993, 236764, 30482, 236764, 30811, 21446, 138, 107, 236829, 51164, 149681, 6198, 236743, 236770, 236771, 1271, 6198, 236743, 236770, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 138, 108, 7243, 108, 89946, 236858, 236751, 100468, 563, 5213, 26179, 236786, 89946, 1018, 568, 13902, 236862, 236770, 236764, 59528, 236862, 236778, 1913, 58745, 16011, 990, 779, 834, 822, 2891, 3393, 2165, 4070, 236929, 532, 39924, 2165, 893, 236772, 4070, 236929, 659, 15195, 28331, 236761, 28819, 822, 7363, 1610, 15491, 2203, 532, 18612, 77284, 528, 15687, 236888, 236743, 246519, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 82410, 529, 236743, 236778, 236810, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 197149, 1083, 623, 236770, 236810, 236810, 236770, 236770, 236778, 236770, 236771, 236771, 236812, 236800, 236800, 236800, 236771, 236819, 236828, 236810, 236819, 236828, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 82410, 529, 236743, 236778, 236810, 563, 5213, 236770, 236810, 236764, 236810, 236770, 236770, 236764, 236778, 236770, 236771, 236764, 236771, 236812, 236800, 236764, 236800, 236800, 236771, 236764, 236819, 236828, 236810, 236764, 236819, 236828, 236812, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 84750, 1174, 9282, 506, 1698, 529, 784, 4414, 25630, 699, 236743, 236770, 531, 236743, 236778, 236810, 236761, 106, 107, 105, 2364, 107, 99963, 236764, 20048, 191473, 58344, 7388, 4462, 12336, 8614, 11754, 236761, 7196, 25998, 236750, 8815, 1664, 45828, 17229, 160607, 569, 1450, 54413, 498, 17964, 39240, 10526, 569, 759, 46925, 4154, 236743, 236778, 236771, 236771, 236771, 570, 236743, 236778, 236771, 236778, 236770, 236881, 645, 5690, 18908, 25513, 236764, 46807, 1917, 122641, 585, 50509, 160797, 13494, 8111, 100947, 696, 19041, 42518, 570, 19013, 636, 33673, 230871, 2137, 193334, 5996, 76625, 236761, 34970, 786, 159585, 496, 124222, 759, 230646, 28756, 51236, 569, 236743, 236778, 236810, 50509, 591, 1450, 30100, 106023, 3329, 3044, 696, 862, 113942, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20738, 236779, 225964, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 32504, 236779, 52447, 1083, 78493, 53337, 1083, 623, 203403, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236771, 236764, 623, 32504, 1083, 623, 236828, 236819, 236772, 236828, 236770, 23179, 3714, 53337, 1083, 623, 64775, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236810, 236764, 623, 32504, 1083, 623, 236778, 236812, 236772, 236778, 236770, 23179, 3714, 53337, 1083, 623, 176579, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236778, 236764, 623, 32504, 1083, 623, 236832, 236772, 236810, 23179, 3714, 53337, 1083, 623, 203403, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236771, 236764, 623, 32504, 1083, 623, 236828, 236800, 236772, 236832, 236819, 23179, 3714, 53337, 1083, 623, 236389, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 32504, 1083, 623, 236812, 236772, 236800, 23179, 3714, 53337, 1083, 623, 64775, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 32504, 1083, 623, 236800, 236770, 236772, 236778, 236828, 236775, 165075, 106, 107, 105, 4368, 107, 60351, 236743, 236778, 236771, 236771, 236771, 570, 236743, 236778, 236771, 236778, 236770, 236764, 5213, 236778, 236771, 50509, 160797, 1018, 13494, 8111, 100947, 696, 1450, 54413, 498, 17964, 39240, 10526, 569, 759, 46925, 236764, 33673, 68057, 696, 96452, 152590, 236761, 52147, 7839, 723, 108424, 54583, 236787, 108, 10354, 152353, 14448, 569, 193334, 5996, 76625, 568, 16308, 6423, 585, 194359, 1473, 107, 236772, 5213, 17449, 168767, 568, 236778, 236771, 236771, 236771, 62902, 236787, 236743, 236828, 236819, 236772, 236828, 236770, 138, 107, 236772, 5213, 236811, 59016, 93610, 568, 236778, 236771, 236771, 236810, 62902, 236787, 236743, 236778, 236812, 236772, 236778, 236770, 138, 107, 236772, 5213, 236799, 44638, 2176, 568, 236778, 236771, 236770, 236778, 62902, 236787, 236743, 236832, 236772, 236810, 138, 107, 236772, 5213, 17449, 168767, 568, 236778, 236771, 236770, 236771, 62902, 236787, 236743, 236828, 236800, 236772, 236832, 236819, 138, 107, 236772, 5213, 236389, 568, 236778, 236771, 236770, 236828, 62902, 236787, 236743, 236812, 236772, 236800, 138, 107, 236772, 5213, 236811, 59016, 93610, 568, 236778, 236771, 236778, 236770, 62902, 236787, 236743, 236800, 236770, 236772, 236778, 236828, 138, 108, 10354, 207800, 5454, 15070, 236787, 107, 236770, 236761, 5213, 7524, 212957, 160797, 7728, 236761, 82410, 569, 236743, 236778, 236810, 66515, 138, 107, 139, 134354, 862, 82410, 569, 236743, 236778, 236810, 568, 236770, 236810, 236761, 236810, 2757, 72514, 644, 2699, 236768, 60562, 1985, 28756, 51236, 926, 127798, 528, 32562, 236746, 236764, 696, 759, 51084, 8935, 5213, 236778, 236771, 50509, 18953, 1018, 214616, 80429, 100947, 696, 236743, 236778, 236770, 11676, 236761, 34970, 176970, 929, 58712, 3105, 759, 1697, 6139, 1517, 569, 54413, 2699, 568, 16308, 236761, 50509, 10632, 6396, 236768, 570, 759, 53506, 569, 1450, 6254, 96109, 2505, 24553, 759, 150652, 569, 30100, 236761, 108, 236778, 236761, 5213, 236791, 23734, 5996, 36388, 5102, 66515, 138, 107, 139, 29154, 76625, 98716, 1369, 544, 237168, 8513, 568, 16308, 236761, 236743, 236812, 236772, 236800, 696, 30123, 236764, 236743, 236800, 236770, 236772, 236778, 236828, 696, 69852, 779, 1510, 929, 220124, 929, 33489, 591, 82378, 50509, 160797, 236764, 759, 47933, 3203, 28271, 570, 759, 85969, 228000, 2369, 86715, 236761, 108, 237665, 185089, 11780, 723, 40972, 4134, 89014, 1839, 97556, 512, 167807, 117650, 696, 1450, 17229, 236881, 106, 107, 105, 2364, 107, 236775, 3845, 507, 2580, 9011, 2103, 4154, 759, 28756, 51236, 926, 127798, 570, 759, 39057, 171894, 236761, 46865, 236764, 46807, 14891, 21642, 1336, 696, 1450, 5213, 3164, 26257, 569, 10632, 14653, 1018, 16277, 569, 18530, 17229, 236761, 7196, 25998, 236750, 8815, 67977, 15300, 50509, 13494, 8111, 96452, 100947, 4154, 236743, 236778, 236771, 236771, 236771, 236772, 236778, 236771, 236778, 236770, 570, 122641, 585, 54413, 498, 17964, 236591, 214616, 236881, 36072, 236764, 7196, 716, 19827, 11676, 12704, 50509, 235056, 54811, 568, 16308, 236761, 997, 236770, 236810, 512, 997, 236770, 236825, 236768, 104654, 8111, 496, 141580, 696, 58664, 527, 36480, 507, 236881, 34970, 39590, 36931, 1839, 15300, 8935, 236743, 236778, 236771, 50509, 160797, 39726, 16577, 496, 47327, 1162, 27639, 12336, 569, 28756, 5996, 87446, 1781, 46260, 2094, 2864, 28402, 580, 506, 46925, 15297, 236764, 24637, 3213, 531, 2434, 49149, 9935, 532, 209399, 236764, 532, 32407, 1063, 531, 506, 82410, 236789, 236751, 16813, 16783, 2907, 236829, 106, 107, 105, 4368, 107, 3771, 37964, 41870, 80653, 496, 1450, 17229, 75906, 3044, 5311, 5213, 2896, 21800, 569, 50509, 125546, 5213, 15035, 635, 498, 17964, 236591, 1018, 512, 5213, 1325, 8490, 117422, 569, 50509, 22460, 6441, 1018, 696, 862, 15297, 569, 759, 46925, 929, 636, 34505, 236916, 87506, 568, 92810, 636, 10029, 230871, 80094, 2824, 161791, 569, 193334, 5996, 570, 152590, 769, 11865, 59039, 496, 4379, 47918, 236764, 108410, 33377, 17527, 56562, 929, 951, 6227, 36911, 696, 759, 76354, 2165, 828, 236779, 236749, 195271, 236779, 2438, 236779, 236778, 236771, 236771, 236771, 236779, 236778, 236771, 236778, 236770, 236929, 5883, 3105, 6227, 35284, 131869, 73936, 236764, 3105, 236787, 108, 236770, 236761, 5213, 236797, 112588, 569, 50509, 1018, 570, 5213, 2896, 21800, 1018, 696, 10073, 134524, 236761, 107, 236778, 236761, 5213, 236776, 7465, 236591, 1018, 569, 236667, 1839, 24665, 236761, 107, 236800, 236761, 5213, 4116, 3044, 569, 58664, 527, 36480, 507, 1018, 568, 16847, 67977, 7457, 213114, 769, 108, 10354, 5718, 14448, 236787, 107, 12014, 44767, 41870, 496, 17229, 4134, 113713, 568, 2152, 21017, 236764, 1985, 19950, 569, 50509, 54413, 2699, 591, 3200, 164485, 570, 11676, 779, 55606, 182805, 496, 80620, 167807, 569, 10632, 14653, 570, 7457, 213114, 236761, 1783, 1510, 55278, 236764, 951, 55606, 214180, 6820, 17527, 591, 2137, 61407, 40408, 236761, 7196, 236796, 3806, 527, 96750, 17229, 117650, 512, 164567, 44271, 696, 18243, 67019, 569, 1450, 54413, 498, 17964, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 82410, 529, 236743, 236778, 236810, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 197149, 1083, 623, 236770, 236810, 236810, 236770, 236770, 236778, 236770, 236771, 236771, 236812, 236800, 236800, 236800, 236771, 236819, 236828, 236810, 236819, 236828, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 82410, 529, 236743, 236778, 236810, 563, 5213, 236770, 236810, 236764, 236810, 236770, 236770, 236764, 236778, 236770, 236771, 236764, 236771, 236812, 236800, 236764, 236800, 236800, 236771, 236764, 236819, 236828, 236810, 236764, 236819, 236828, 236812, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 84750, 1174, 9282, 506, 1698, 529, 784, 4414, 25630, 699, 236743, 236770, 531, 236743, 236778, 236810, 236761, 106, 107, 105, 2364, 107, 99963, 236764, 20048, 191473, 58344, 7388, 4462, 12336, 8614, 11754, 236761, 7196, 25998, 236750, 8815, 1664, 45828, 17229, 160607, 569, 1450, 54413, 498, 17964, 39240, 10526, 569, 759, 46925, 4154, 236743, 236778, 236771, 236771, 236771, 570, 236743, 236778, 236771, 236778, 236770, 236881, 645, 5690, 18908, 25513, 236764, 46807, 1917, 122641, 585, 50509, 160797, 13494, 8111, 100947, 696, 19041, 42518, 570, 19013, 636, 33673, 230871, 2137, 193334, 5996, 76625, 236761, 34970, 786, 159585, 496, 124222, 759, 230646, 28756, 51236, 569, 236743, 236778, 236810, 50509, 591, 1450, 30100, 106023, 3329, 3044, 696, 862, 113942, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20738, 236779, 225964, 236779, 2861, 1083, 236743, 236778, 236771, 236764, 623, 10218, 236779, 32504, 236779, 52447, 1083, 78493, 53337, 1083, 623, 203403, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236771, 236764, 623, 32504, 1083, 623, 236828, 236819, 236772, 236828, 236770, 23179, 3714, 53337, 1083, 623, 64775, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236810, 236764, 623, 32504, 1083, 623, 236778, 236812, 236772, 236778, 236770, 23179, 3714, 53337, 1083, 623, 176579, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236778, 236764, 623, 32504, 1083, 623, 236832, 236772, 236810, 23179, 3714, 53337, 1083, 623, 203403, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236771, 236764, 623, 32504, 1083, 623, 236828, 236800, 236772, 236832, 236819, 23179, 3714, 53337, 1083, 623, 236389, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 32504, 1083, 623, 236812, 236772, 236800, 23179, 3714, 53337, 1083, 623, 64775, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 32504, 1083, 623, 236800, 236770, 236772, 236778, 236828, 236775, 165075, 106, 107, 105, 4368, 107, 60351, 236743, 236778, 236771, 236771, 236771, 570, 236743, 236778, 236771, 236778, 236770, 236764, 5213, 236778, 236771, 50509, 160797, 1018, 13494, 8111, 100947, 696, 1450, 54413, 498, 17964, 39240, 10526, 569, 759, 46925, 236764, 33673, 68057, 696, 96452, 152590, 236761, 52147, 7839, 723, 108424, 54583, 236787, 108, 10354, 152353, 14448, 569, 193334, 5996, 76625, 568, 16308, 6423, 585, 194359, 1473, 107, 236772, 5213, 17449, 168767, 568, 236778, 236771, 236771, 236771, 62902, 236787, 236743, 236828, 236819, 236772, 236828, 236770, 138, 107, 236772, 5213, 236811, 59016, 93610, 568, 236778, 236771, 236771, 236810, 62902, 236787, 236743, 236778, 236812, 236772, 236778, 236770, 138, 107, 236772, 5213, 236799, 44638, 2176, 568, 236778, 236771, 236770, 236778, 62902, 236787, 236743, 236832, 236772, 236810, 138, 107, 236772, 5213, 17449, 168767, 568, 236778, 236771, 236770, 236771, 62902, 236787, 236743, 236828, 236800, 236772, 236832, 236819, 138, 107, 236772, 5213, 236389, 568, 236778, 236771, 236770, 236828, 62902, 236787, 236743, 236812, 236772, 236800, 138, 107, 236772, 5213, 236811, 59016, 93610, 568, 236778, 236771, 236778, 236770, 62902, 236787, 236743, 236800, 236770, 236772, 236778, 236828, 138, 108, 10354, 207800, 5454, 15070, 236787, 107, 236770, 236761, 5213, 7524, 212957, 160797, 7728, 236761, 82410, 569, 236743, 236778, 236810, 66515, 138, 107, 139, 134354, 862, 82410, 569, 236743, 236778, 236810, 568, 236770, 236810, 236761, 236810, 2757, 72514, 644, 2699, 236768, 60562, 1985, 28756, 51236, 926, 127798, 528, 32562, 236746, 236764, 696, 759, 51084, 8935, 5213, 236778, 236771, 50509, 18953, 1018, 214616, 80429, 100947, 696, 236743, 236778, 236770, 11676, 236761, 34970, 176970, 929, 58712, 3105, 759, 1697, 6139, 1517, 569, 54413, 2699, 568, 16308, 236761, 50509, 10632, 6396, 236768, 570, 759, 53506, 569, 1450, 6254, 96109, 2505, 24553, 759, 150652, 569, 30100, 236761, 108, 236778, 236761, 5213, 236791, 23734, 5996, 36388, 5102, 66515, 138, 107, 139, 29154, 76625, 98716, 1369, 544, 237168, 8513, 568, 16308, 236761, 236743, 236812, 236772, 236800, 696, 30123, 236764, 236743, 236800, 236770, 236772, 236778, 236828, 696, 69852, 779, 1510, 929, 220124, 929, 33489, 591, 82378, 50509, 160797, 236764, 759, 47933, 3203, 28271, 570, 759, 85969, 228000, 2369, 86715, 236761, 108, 237665, 185089, 11780, 723, 40972, 4134, 89014, 1839, 97556, 512, 167807, 117650, 696, 1450, 17229, 236881, 106, 107, 105, 2364, 107, 236775, 3845, 507, 2580, 9011, 2103, 4154, 759, 28756, 51236, 926, 127798, 570, 759, 39057, 171894, 236761, 46865, 236764, 46807, 14891, 21642, 1336, 696, 1450, 5213, 3164, 26257, 569, 10632, 14653, 1018, 16277, 569, 18530, 17229, 236761, 7196, 25998, 236750, 8815, 67977, 15300, 50509, 13494, 8111, 96452, 100947, 4154, 236743, 236778, 236771, 236771, 236771, 236772, 236778, 236771, 236778, 236770, 570, 122641, 585, 54413, 498, 17964, 236591, 214616, 236881, 36072, 236764, 7196, 716, 19827, 11676, 12704, 50509, 235056, 54811, 568, 16308, 236761, 997, 236770, 236810, 512, 997, 236770, 236825, 236768, 104654, 8111, 496, 141580, 696, 58664, 527, 36480, 507, 236881, 34970, 39590, 36931, 1839, 15300, 8935, 236743, 236778, 236771, 50509, 160797, 39726, 16577, 496, 47327, 1162, 27639, 12336, 569, 28756, 5996, 87446, 1781, 46260, 2094, 2864, 28402, 580, 506, 46925, 15297, 236764, 24637, 3213, 531, 2434, 49149, 9935, 532, 209399, 236764, 532, 32407, 1063, 531, 506, 82410, 236789, 236751, 16813, 16783, 2907, 236829, 106, 107, 105, 4368, 107, 3771, 37964, 41870, 80653, 496, 1450, 17229, 75906, 3044, 5311, 5213, 2896, 21800, 569, 50509, 125546, 5213, 15035, 635, 498, 17964, 236591, 1018, 512, 5213, 1325, 8490, 117422, 569, 50509, 22460, 6441, 1018, 696, 862, 15297, 569, 759, 46925, 929, 636, 34505, 236916, 87506, 568, 92810, 636, 10029, 230871, 80094, 2824, 161791, 569, 193334, 5996, 570, 152590, 769, 11865, 59039, 496, 4379, 47918, 236764, 108410, 33377, 17527, 56562, 929, 951, 6227, 36911, 696, 759, 76354, 2165, 828, 236779, 236749, 195271, 236779, 2438, 236779, 236778, 236771, 236771, 236771, 236779, 236778, 236771, 236778, 236770, 236929, 5883, 3105, 6227, 35284, 131869, 73936, 236764, 3105, 236787, 108, 236770, 236761, 5213, 236797, 112588, 569, 50509, 1018, 570, 5213, 2896, 21800, 1018, 696, 10073, 134524, 236761, 107, 236778, 236761, 5213, 236776, 7465, 236591, 1018, 569, 236667, 1839, 24665, 236761, 107, 236800, 236761, 5213, 4116, 3044, 569, 58664, 527, 36480, 507, 1018, 568, 16847, 67977, 7457, 213114, 769, 108, 10354, 5718, 14448, 236787, 107, 12014, 44767, 41870, 496, 17229, 4134, 113713, 568, 2152, 21017, 236764, 1985, 19950, 569, 50509, 54413, 2699, 591, 3200, 164485, 570, 11676, 779, 55606, 182805, 496, 80620, 167807, 569, 10632, 14653, 570, 7457, 213114, 236761, 1783, 1510, 55278, 236764, 951, 55606, 214180, 6820, 17527, 591, 2137, 61407, 40408, 236761, 7196, 236796, 3806, 527, 96750, 17229, 117650, 512, 164567, 44271, 696, 18243, 67019, 569, 1450, 54413, 498, 17964, 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, 104678, 236764, 496, 6029, 2528, 56241, 9800, 528, 189353, 236764, 23639, 236764, 35447, 1023, 3399, 236789, 236751, 1171, 56241, 5888, 236761, 564, 1202, 531, 3738, 496, 6647, 5689, 573, 6029, 2528, 616, 600, 236789, 236751, 1388, 236772, 88299, 532, 16445, 5518, 742, 236761, 5315, 236764, 1161, 506, 30136, 236779, 2305, 5904, 531, 1586, 623, 27671, 6647, 5689, 573, 6029, 2528, 236775, 607, 37007, 684, 36787, 236761, 4298, 236764, 1769, 506, 1698, 5853, 699, 506, 1903, 1354, 532, 1845, 506, 10595, 5904, 580, 625, 531, 2426, 506, 4381, 14470, 237028, 754, 1154, 236764, 625, 3548, 657, 3198, 236743, 236812, 8197, 236761, 1637, 506, 1903, 1698, 16071, 2822, 236764, 692, 236789, 859, 7350, 531, 506, 2148, 886, 236764, 840, 1531, 236789, 236751, 1502, 607, 506, 1903, 1354, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236778, 236764, 623, 12103, 1083, 78493, 5930, 236779, 547, 1083, 623, 27671, 134492, 236772, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 27671, 7621, 15806, 573, 12266, 4930, 236787, 44300, 236772, 2791, 19180, 37058, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 81907, 1083, 623, 13149, 8341, 2487, 528, 189353, 236764, 23639, 2351, 236743, 236778, 1960, 2668, 23179, 3714, 5930, 236779, 547, 1083, 623, 27671, 134492, 236772, 236770, 236771, 236770, 827, 623, 3250, 1083, 623, 22866, 4930, 56241, 77985, 15806, 607, 10201, 29912, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 81907, 1083, 623, 13149, 8341, 528, 189353, 236764, 23639, 23179, 3714, 5930, 236779, 547, 1083, 623, 27671, 134492, 236772, 236778, 236771, 236810, 827, 623, 3250, 1083, 623, 45946, 10201, 573, 12266, 4930, 616, 236787, 26158, 92381, 15806, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 81907, 1083, 623, 13149, 8341, 528, 189353, 236764, 23639, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 27671, 134492, 236772, 236832, 236828, 236819, 827, 623, 4000, 1083, 236743, 236770, 236764, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 3250, 1083, 623, 54133, 573, 6029, 2528, 616, 827, 623, 13486, 1083, 623, 35247, 964, 14076, 699, 1502, 531, 9009, 236761, 669, 5689, 5132, 784, 5417, 573, 236743, 236800, 236771, 3272, 532, 100146, 607, 65799, 4033, 8443, 236761, 50158, 5840, 573, 4916, 236772, 498, 4735, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236812, 827, 623, 13126, 1083, 236743, 236810, 236761, 236771, 236764, 623, 3250, 1083, 623, 60881, 56241, 6511, 827, 623, 13486, 1083, 623, 7711, 2528, 11496, 236743, 236810, 34332, 532, 901, 236789, 560, 1010, 1456, 528, 236743, 236800, 1607, 53286, 236761, 669, 11808, 659, 3582, 236764, 532, 506, 6237, 659, 22937, 236761, 12613, 17681, 41218, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 3250, 1083, 623, 11947, 840, 1451, 577, 919, 9813, 827, 623, 13486, 1083, 623, 818, 10083, 981, 1388, 236764, 840, 1070, 10411, 2473, 1202, 4767, 14984, 573, 3996, 14485, 236761, 29216, 5139, 7408, 573, 6029, 2528, 56241, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236771, 236828, 25938, 1604, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236810, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 818, 1903, 1354, 699, 506, 30136, 3927, 236764, 5213, 27671, 7621, 15806, 573, 12266, 4930, 236787, 44300, 236772, 2791, 19180, 37058, 568, 5930, 5853, 236787, 56241, 134492, 236772, 236832, 236828, 236819, 62902, 236764, 20239, 784, 822, 6035, 236787, 108, 236772, 113452, 5213, 236812, 236761, 236810, 236786, 236810, 4398, 14470, 1018, 568, 5140, 580, 236743, 236778, 236810, 2558, 10595, 236764, 607, 4803, 10595, 2440, 236743, 236812, 236761, 236810, 236764, 236743, 236810, 236761, 236771, 236764, 532, 236743, 236812, 236761, 236771, 24074, 769, 107, 236772, 113452, 5213, 13149, 8341, 2487, 528, 189353, 236764, 23639, 2351, 236743, 236778, 1960, 2668, 84750, 107, 236772, 113452, 31727, 8357, 25000, 607, 65799, 4033, 8443, 236764, 86338, 573, 236743, 236800, 236771, 3272, 236764, 532, 39601, 529, 5417, 236761, 108, 2094, 5689, 563, 506, 1791, 4241, 573, 822, 56241, 5888, 3548, 236761, 21284, 611, 1133, 531, 7162, 607, 24121, 672, 1698, 653, 11327, 4767, 4889, 236881, 106, 107, 105, 2364, 107, 236820, 29441, 236813, 107, 236777, 1202, 531, 9128, 506, 8341, 34315, 100146, 607, 1023, 56241, 5888, 3433, 236761, 6890, 1051, 236779, 42081, 1507, 531, 9279, 506, 990, 1534, 3124, 568, 36817, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 532, 506, 5888, 3433, 568, 36956, 236743, 236819, 236764, 236743, 236778, 236771, 236778, 236800, 779, 1299, 10769, 625, 531, 506, 8341, 4771, 568, 236778, 1960, 2668, 699, 1900, 3433, 769, 6890, 506, 623, 20055, 236786, 236800, 236825, 236810, 236775, 1719, 1527, 24638, 573, 10634, 236761, 1637, 506, 8341, 10742, 563, 2344, 1082, 506, 5888, 10742, 236764, 692, 236789, 859, 7162, 607, 506, 1900, 236761, 3792, 786, 1281, 506, 2536, 236761, 107, 236820, 8516, 236813, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3704, 236779, 59800, 1083, 236743, 236771, 236761, 236771, 236800, 236828, 236800, 236810, 236825, 236770, 236825, 236812, 236812, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236819, 827, 623, 236753, 767, 236779, 2084, 1083, 623, 37134, 236800, 236825, 236810, 25938, 106, 107, 105, 4368, 107, 818, 14988, 44898, 506, 34315, 100146, 13275, 236787, 108, 236772, 5213, 27671, 15519, 6809, 66515, 6243, 236743, 236819, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 236772, 5213, 8782, 6809, 66515, 6198, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 236772, 5213, 34826, 35026, 15519, 66515, 236743, 236770, 236812, 2668, 568, 36817, 236743, 236778, 236825, 16130, 6243, 236743, 236819, 236768, 138, 107, 236772, 5213, 65787, 28405, 66515, 236743, 236778, 1960, 2668, 568, 2543, 1900, 3433, 236768, 138, 108, 818, 1051, 10742, 573, 506, 5888, 2846, 563, 5213, 236771, 236761, 236771, 236800, 236828, 236812, 1018, 568, 240443, 236770, 236812, 2668, 965, 236743, 236800, 236825, 236810, 779, 1651, 506, 8341, 4771, 568, 236778, 1960, 2668, 236768, 563, 5213, 236771, 236761, 236771, 236771, 236810, 236810, 1018, 568, 240443, 236778, 2668, 965, 236743, 236800, 236825, 236810, 769, 5612, 5213, 236771, 236761, 236771, 236771, 236810, 236810, 655, 236743, 236771, 236761, 236771, 236800, 236828, 236812, 125546, 506, 8341, 795, 15074, 5213, 7368, 1680, 1018, 506, 5888, 3433, 236761, 138, 108, 240732, 5213, 211199, 66515, 101685, 607, 24121, 506, 5213, 27671, 7621, 15806, 573, 12266, 4930, 568, 5930, 5853, 236787, 56241, 134492, 236772, 236832, 236828, 236819, 62902, 236761, 1030, 20239, 784, 6035, 568, 236812, 236761, 236810, 236862, 14470, 236764, 2263, 8341, 528, 189353, 236764, 23639, 236764, 532, 8341, 34315, 100146, 607, 822, 5888, 3433, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 104678, 236764, 496, 6029, 2528, 56241, 9800, 528, 189353, 236764, 23639, 236764, 35447, 1023, 3399, 236789, 236751, 1171, 56241, 5888, 236761, 564, 1202, 531, 3738, 496, 6647, 5689, 573, 6029, 2528, 616, 600, 236789, 236751, 1388, 236772, 88299, 532, 16445, 5518, 742, 236761, 5315, 236764, 1161, 506, 30136, 236779, 2305, 5904, 531, 1586, 623, 27671, 6647, 5689, 573, 6029, 2528, 236775, 607, 37007, 684, 36787, 236761, 4298, 236764, 1769, 506, 1698, 5853, 699, 506, 1903, 1354, 532, 1845, 506, 10595, 5904, 580, 625, 531, 2426, 506, 4381, 14470, 237028, 754, 1154, 236764, 625, 3548, 657, 3198, 236743, 236812, 8197, 236761, 1637, 506, 1903, 1698, 16071, 2822, 236764, 692, 236789, 859, 7350, 531, 506, 2148, 886, 236764, 840, 1531, 236789, 236751, 1502, 607, 506, 1903, 1354, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236778, 236764, 623, 12103, 1083, 78493, 5930, 236779, 547, 1083, 623, 27671, 134492, 236772, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 27671, 7621, 15806, 573, 12266, 4930, 236787, 44300, 236772, 2791, 19180, 37058, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 81907, 1083, 623, 13149, 8341, 2487, 528, 189353, 236764, 23639, 2351, 236743, 236778, 1960, 2668, 23179, 3714, 5930, 236779, 547, 1083, 623, 27671, 134492, 236772, 236770, 236771, 236770, 827, 623, 3250, 1083, 623, 22866, 4930, 56241, 77985, 15806, 607, 10201, 29912, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 81907, 1083, 623, 13149, 8341, 528, 189353, 236764, 23639, 23179, 3714, 5930, 236779, 547, 1083, 623, 27671, 134492, 236772, 236778, 236771, 236810, 827, 623, 3250, 1083, 623, 45946, 10201, 573, 12266, 4930, 616, 236787, 26158, 92381, 15806, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 81907, 1083, 623, 13149, 8341, 528, 189353, 236764, 23639, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 27671, 134492, 236772, 236832, 236828, 236819, 827, 623, 4000, 1083, 236743, 236770, 236764, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 3250, 1083, 623, 54133, 573, 6029, 2528, 616, 827, 623, 13486, 1083, 623, 35247, 964, 14076, 699, 1502, 531, 9009, 236761, 669, 5689, 5132, 784, 5417, 573, 236743, 236800, 236771, 3272, 532, 100146, 607, 65799, 4033, 8443, 236761, 50158, 5840, 573, 4916, 236772, 498, 4735, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236812, 827, 623, 13126, 1083, 236743, 236810, 236761, 236771, 236764, 623, 3250, 1083, 623, 60881, 56241, 6511, 827, 623, 13486, 1083, 623, 7711, 2528, 11496, 236743, 236810, 34332, 532, 901, 236789, 560, 1010, 1456, 528, 236743, 236800, 1607, 53286, 236761, 669, 11808, 659, 3582, 236764, 532, 506, 6237, 659, 22937, 236761, 12613, 17681, 41218, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236771, 236764, 623, 3250, 1083, 623, 11947, 840, 1451, 577, 919, 9813, 827, 623, 13486, 1083, 623, 818, 10083, 981, 1388, 236764, 840, 1070, 10411, 2473, 1202, 4767, 14984, 573, 3996, 14485, 236761, 29216, 5139, 7408, 573, 6029, 2528, 56241, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236771, 236828, 25938, 1604, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236810, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 818, 1903, 1354, 699, 506, 30136, 3927, 236764, 5213, 27671, 7621, 15806, 573, 12266, 4930, 236787, 44300, 236772, 2791, 19180, 37058, 568, 5930, 5853, 236787, 56241, 134492, 236772, 236832, 236828, 236819, 62902, 236764, 20239, 784, 822, 6035, 236787, 108, 236772, 113452, 5213, 236812, 236761, 236810, 236786, 236810, 4398, 14470, 1018, 568, 5140, 580, 236743, 236778, 236810, 2558, 10595, 236764, 607, 4803, 10595, 2440, 236743, 236812, 236761, 236810, 236764, 236743, 236810, 236761, 236771, 236764, 532, 236743, 236812, 236761, 236771, 24074, 769, 107, 236772, 113452, 5213, 13149, 8341, 2487, 528, 189353, 236764, 23639, 2351, 236743, 236778, 1960, 2668, 84750, 107, 236772, 113452, 31727, 8357, 25000, 607, 65799, 4033, 8443, 236764, 86338, 573, 236743, 236800, 236771, 3272, 236764, 532, 39601, 529, 5417, 236761, 108, 2094, 5689, 563, 506, 1791, 4241, 573, 822, 56241, 5888, 3548, 236761, 21284, 611, 1133, 531, 7162, 607, 24121, 672, 1698, 653, 11327, 4767, 4889, 236881, 106, 107, 105, 2364, 107, 236820, 29441, 236813, 107, 236777, 1202, 531, 9128, 506, 8341, 34315, 100146, 607, 1023, 56241, 5888, 3433, 236761, 6890, 1051, 236779, 42081, 1507, 531, 9279, 506, 990, 1534, 3124, 568, 36817, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 532, 506, 5888, 3433, 568, 36956, 236743, 236819, 236764, 236743, 236778, 236771, 236778, 236800, 779, 1299, 10769, 625, 531, 506, 8341, 4771, 568, 236778, 1960, 2668, 699, 1900, 3433, 769, 6890, 506, 623, 20055, 236786, 236800, 236825, 236810, 236775, 1719, 1527, 24638, 573, 10634, 236761, 1637, 506, 8341, 10742, 563, 2344, 1082, 506, 5888, 10742, 236764, 692, 236789, 859, 7162, 607, 506, 1900, 236761, 3792, 786, 1281, 506, 2536, 236761, 107, 236820, 8516, 236813, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3704, 236779, 59800, 1083, 236743, 236771, 236761, 236771, 236800, 236828, 236800, 236810, 236825, 236770, 236825, 236812, 236812, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236819, 827, 623, 236753, 767, 236779, 2084, 1083, 623, 37134, 236800, 236825, 236810, 25938, 106, 107, 105, 4368, 107, 818, 14988, 44898, 506, 34315, 100146, 13275, 236787, 108, 236772, 5213, 27671, 15519, 6809, 66515, 6243, 236743, 236819, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 236772, 5213, 8782, 6809, 66515, 6198, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 236772, 5213, 34826, 35026, 15519, 66515, 236743, 236770, 236812, 2668, 568, 36817, 236743, 236778, 236825, 16130, 6243, 236743, 236819, 236768, 138, 107, 236772, 5213, 65787, 28405, 66515, 236743, 236778, 1960, 2668, 568, 2543, 1900, 3433, 236768, 138, 108, 818, 1051, 10742, 573, 506, 5888, 2846, 563, 5213, 236771, 236761, 236771, 236800, 236828, 236812, 1018, 568, 240443, 236770, 236812, 2668, 965, 236743, 236800, 236825, 236810, 779, 1651, 506, 8341, 4771, 568, 236778, 1960, 2668, 236768, 563, 5213, 236771, 236761, 236771, 236771, 236810, 236810, 1018, 568, 240443, 236778, 2668, 965, 236743, 236800, 236825, 236810, 769, 5612, 5213, 236771, 236761, 236771, 236771, 236810, 236810, 655, 236743, 236771, 236761, 236771, 236800, 236828, 236812, 125546, 506, 8341, 795, 15074, 5213, 7368, 1680, 1018, 506, 5888, 3433, 236761, 138, 108, 240732, 5213, 211199, 66515, 101685, 607, 24121, 506, 5213, 27671, 7621, 15806, 573, 12266, 4930, 568, 5930, 5853, 236787, 56241, 134492, 236772, 236832, 236828, 236819, 62902, 236761, 1030, 20239, 784, 6035, 568, 236812, 236761, 236810, 236862, 14470, 236764, 2263, 8341, 528, 189353, 236764, 23639, 236764, 532, 8341, 34315, 100146, 607, 822, 5888, 3433, 769, 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, 22939, 580, 30520, 77152, 528, 16403, 3668, 11089, 532, 1202, 7426, 43910, 236761, 28344, 611, 3927, 157287, 573, 4876, 600, 22064, 6672, 26135, 59491, 607, 2260, 2890, 11803, 529, 11068, 1133, 38908, 47520, 224097, 532, 50256, 220267, 236881, 564, 236789, 236753, 1133, 531, 1407, 3272, 1217, 9226, 4820, 7630, 28885, 11048, 236761, 3792, 236789, 236751, 1502, 607, 506, 7609, 1941, 623, 14789, 800, 77152, 16403, 3668, 2260, 13526, 26135, 59491, 236775, 532, 1460, 1144, 8564, 7413, 2536, 692, 974, 236761, 15704, 692, 740, 59638, 625, 3209, 2721, 580, 1144, 14581, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2451, 1083, 623, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 827, 623, 3274, 236779, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236770, 236778, 236800, 236812, 236810, 827, 623, 19112, 1083, 11058, 14789, 800, 77152, 827, 623, 3070, 2890, 1702, 827, 623, 158333, 59491, 152254, 3714, 2451, 1083, 623, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 827, 623, 3274, 236779, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236825, 236832, 236828, 236819, 236771, 827, 623, 19112, 1083, 11058, 86436, 3668, 11089, 827, 623, 236823, 7868, 236785, 236756, 236771, 236771, 12064, 587, 236785, 236756, 236771, 236771, 236744, 236770, 236750, 37300, 827, 623, 50771, 19549, 152254, 3714, 2451, 1083, 623, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 827, 623, 3274, 236779, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236810, 236812, 236800, 236778, 236770, 827, 623, 19112, 1083, 11058, 4602, 1575, 220267, 827, 623, 39134, 1610, 827, 623, 3070, 16621, 4718, 99471, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 3278, 1083, 623, 14789, 800, 77152, 16403, 3668, 2260, 13526, 26135, 59491, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4068, 2471, 2536, 699, 157287, 2721, 580, 822, 7609, 236787, 108, 236770, 236761, 5213, 236840, 1779, 236743, 236770, 5457, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 14789, 800, 77152, 236764, 2260, 2890, 1702, 236764, 26135, 59491, 236829, 138, 107, 139, 236840, 7118, 17690, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236770, 236778, 236800, 236812, 236810, 236768, 108, 236778, 236761, 5213, 236840, 1779, 236743, 236778, 5457, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 86436, 3668, 11089, 236764, 47520, 224097, 236764, 9226, 19549, 236829, 138, 107, 139, 236840, 7118, 17690, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236825, 236832, 236828, 236819, 236771, 236768, 108, 236800, 236761, 5213, 236840, 1779, 236743, 236800, 5457, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 4602, 1575, 220267, 236764, 26497, 1610, 236764, 2260, 16621, 4718, 236829, 138, 107, 139, 236840, 7118, 17690, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236810, 236812, 236800, 236778, 236770, 236768, 108, 3810, 659, 236743, 236810, 2558, 7704, 529, 2536, 236761, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3213, 919, 580, 3530, 11068, 236764, 59491, 236764, 653, 14062, 236768, 653, 11327, 4767, 7704, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 11327, 3104, 236743, 236778, 529, 506, 2536, 1171, 531, 1460, 768, 993, 659, 919, 8698, 607, 50256, 220267, 236789, 236751, 4146, 237028, 1779, 236743, 236800, 691, 23284, 840, 35699, 236761, 1637, 3104, 236743, 236778, 40826, 7271, 2561, 236764, 59638, 506, 3927, 1699, 623, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 618, 496, 861, 7609, 1941, 236761, 564, 236858, 236753, 992, 1133, 531, 4071, 236772, 30449, 1239, 62325, 607, 6672, 26135, 9935, 1133, 808, 71073, 11382, 507, 236829, 653, 808, 62251, 535, 10464, 1438, 236829, 3209, 531, 37837, 9226, 19549, 236761, 3792, 236858, 236751, 7162, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 827, 623, 19112, 1083, 11058, 4602, 1575, 220267, 827, 623, 14789, 800, 77152, 827, 623, 158333, 26497, 1610, 14255, 623, 23184, 1083, 623, 39476, 1702, 18482, 28239, 10682, 236763, 111808, 9935, 23179, 3714, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 827, 623, 19112, 1083, 11058, 86436, 3668, 11089, 827, 623, 3070, 2890, 827, 623, 62251, 535, 10464, 1438, 14255, 623, 23184, 1083, 623, 175266, 1090, 6672, 30484, 10464, 1438, 59491, 23179, 3714, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 827, 623, 19112, 1083, 11058, 1659, 117250, 1610, 827, 623, 3070, 1702, 827, 623, 50771, 19549, 14255, 623, 23184, 1083, 623, 120453, 529, 30737, 532, 4532, 26135, 4820, 25938, 1604, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 699, 3104, 236743, 236778, 529, 506, 3303, 3927, 236787, 108, 236770, 236761, 5213, 236840, 4602, 1575, 220267, 2890, 607, 10682, 236763, 111808, 9935, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 4602, 1575, 220267, 236764, 30520, 77152, 236764, 26135, 26497, 1610, 236829, 138, 107, 139, 26253, 236787, 167132, 10682, 236763, 111808, 568, 64915, 26135, 26497, 7626, 58435, 236768, 22420, 1131, 1702, 236761, 108, 236778, 236761, 5213, 236840, 9020, 2890, 607, 30484, 10464, 1438, 59491, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 86436, 3668, 11089, 236764, 30484, 10464, 1438, 236829, 138, 107, 139, 26253, 236787, 25772, 52996, 3627, 236772, 65657, 9935, 62803, 529, 118011, 569, 1450, 12402, 44779, 31851, 236761, 108, 236800, 236761, 5213, 236840, 111534, 19549, 1702, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 1659, 117250, 1610, 236764, 30737, 59491, 236829, 138, 107, 139, 26253, 236787, 21807, 1472, 877, 236772, 1980, 3464, 1037, 16271, 607, 4532, 73945, 236761, 108, 1018, 9272, 6555, 66515, 138, 107, 236772, 11338, 236743, 236778, 44423, 886, 50256, 220267, 2591, 568, 4060, 10682, 236763, 11382, 507, 236768, 532, 1156, 3188, 9226, 19549, 8698, 236761, 138, 107, 236772, 21284, 611, 1133, 531, 236787, 138, 107, 138, 236770, 236761, 101685, 531, 5213, 4000, 236743, 236800, 1018, 531, 4102, 22260, 506, 3303, 7609, 236881, 138, 107, 138, 236778, 236761, 10867, 688, 506, 3927, 531, 5213, 236775, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 1018, 573, 919, 20054, 2536, 236881, 138, 107, 138, 236800, 236761, 8600, 496, 861, 7609, 19541, 580, 5213, 236775, 71073, 11382, 507, 236786, 62251, 535, 10464, 1438, 528, 2260, 1702, 236775, 1018, 573, 19276, 9226, 4403, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 7166, 688, 506, 3927, 1699, 506, 1941, 5213, 236775, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 1018, 531, 9385, 919, 10317, 8698, 236761, 669, 10682, 236763, 111808, 532, 30484, 10464, 1438, 4820, 659, 50612, 236764, 840, 564, 1461, 531, 56856, 220267, 236858, 236751, 13526, 1171, 531, 5330, 8744, 573, 1116, 3336, 236761, 1637, 672, 861, 7609, 15741, 16317, 2536, 236764, 692, 740, 3209, 10059, 1063, 531, 4071, 236772, 30449, 607, 3530, 59491, 1133, 10682, 236763, 11382, 507, 236761, 3792, 236858, 236751, 1460, 1144, 672, 33093, 3927, 14581, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 11058, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 827, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 827, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 14255, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236812, 236778, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 4874, 236779, 4000, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4068, 2536, 573, 506, 33093, 7609, 5213, 236775, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 1018, 568, 4163, 236743, 236770, 1473, 108, 236770, 236761, 5213, 236840, 1779, 236743, 236770, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 62902, 138, 107, 236778, 236761, 5213, 236840, 1779, 236743, 236778, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 62902, 138, 107, 236800, 236761, 5213, 236840, 1779, 236743, 236800, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 62902, 138, 108, 1018, 9640, 2536, 1765, 66515, 236743, 236770, 236812, 236778, 568, 47706, 3418, 5065, 7704, 769, 138, 108, 9208, 9851, 1982, 531, 157287, 12714, 18482, 26497, 1610, 236772, 52728, 2260, 13526, 529, 50256, 220267, 236858, 236751, 4146, 236761, 669, 11803, 4547, 27968, 28239, 26135, 9935, 236764, 30737, 104164, 236764, 653, 6672, 2258, 140918, 236761, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236772, 5213, 2039, 11338, 236743, 236778, 1018, 529, 672, 33093, 3927, 573, 919, 8698, 236881, 138, 107, 236772, 12713, 236772, 30449, 3530, 59491, 1133, 5213, 71073, 11382, 507, 1018, 653, 5213, 62251, 535, 10464, 1438, 1018, 528, 220267, 236858, 236751, 13526, 236881, 138, 107, 236772, 18898, 1239, 2536, 532, 7162, 531, 18840, 9226, 19549, 4820, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 56856, 2148, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22939, 580, 30520, 77152, 528, 16403, 3668, 11089, 532, 1202, 7426, 43910, 236761, 28344, 611, 3927, 157287, 573, 4876, 600, 22064, 6672, 26135, 59491, 607, 2260, 2890, 11803, 529, 11068, 1133, 38908, 47520, 224097, 532, 50256, 220267, 236881, 564, 236789, 236753, 1133, 531, 1407, 3272, 1217, 9226, 4820, 7630, 28885, 11048, 236761, 3792, 236789, 236751, 1502, 607, 506, 7609, 1941, 623, 14789, 800, 77152, 16403, 3668, 2260, 13526, 26135, 59491, 236775, 532, 1460, 1144, 8564, 7413, 2536, 692, 974, 236761, 15704, 692, 740, 59638, 625, 3209, 2721, 580, 1144, 14581, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2451, 1083, 623, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 827, 623, 3274, 236779, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236770, 236778, 236800, 236812, 236810, 827, 623, 19112, 1083, 11058, 14789, 800, 77152, 827, 623, 3070, 2890, 1702, 827, 623, 158333, 59491, 152254, 3714, 2451, 1083, 623, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 827, 623, 3274, 236779, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236825, 236832, 236828, 236819, 236771, 827, 623, 19112, 1083, 11058, 86436, 3668, 11089, 827, 623, 236823, 7868, 236785, 236756, 236771, 236771, 12064, 587, 236785, 236756, 236771, 236771, 236744, 236770, 236750, 37300, 827, 623, 50771, 19549, 152254, 3714, 2451, 1083, 623, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 827, 623, 3274, 236779, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236810, 236812, 236800, 236778, 236770, 827, 623, 19112, 1083, 11058, 4602, 1575, 220267, 827, 623, 39134, 1610, 827, 623, 3070, 16621, 4718, 99471, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 3278, 1083, 623, 14789, 800, 77152, 16403, 3668, 2260, 13526, 26135, 59491, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4068, 2471, 2536, 699, 157287, 2721, 580, 822, 7609, 236787, 108, 236770, 236761, 5213, 236840, 1779, 236743, 236770, 5457, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 14789, 800, 77152, 236764, 2260, 2890, 1702, 236764, 26135, 59491, 236829, 138, 107, 139, 236840, 7118, 17690, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236770, 236778, 236800, 236812, 236810, 236768, 108, 236778, 236761, 5213, 236840, 1779, 236743, 236778, 5457, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 86436, 3668, 11089, 236764, 47520, 224097, 236764, 9226, 19549, 236829, 138, 107, 139, 236840, 7118, 17690, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236825, 236832, 236828, 236819, 236771, 236768, 108, 236800, 236761, 5213, 236840, 1779, 236743, 236800, 5457, 2574, 1411, 236825, 236812, 236761, 10494, 236761, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 4602, 1575, 220267, 236764, 26497, 1610, 236764, 2260, 16621, 4718, 236829, 138, 107, 139, 236840, 7118, 17690, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3274, 236786, 236810, 236812, 236800, 236778, 236770, 236768, 108, 3810, 659, 236743, 236810, 2558, 7704, 529, 2536, 236761, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3213, 919, 580, 3530, 11068, 236764, 59491, 236764, 653, 14062, 236768, 653, 11327, 4767, 7704, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 11327, 3104, 236743, 236778, 529, 506, 2536, 1171, 531, 1460, 768, 993, 659, 919, 8698, 607, 50256, 220267, 236789, 236751, 4146, 237028, 1779, 236743, 236800, 691, 23284, 840, 35699, 236761, 1637, 3104, 236743, 236778, 40826, 7271, 2561, 236764, 59638, 506, 3927, 1699, 623, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 618, 496, 861, 7609, 1941, 236761, 564, 236858, 236753, 992, 1133, 531, 4071, 236772, 30449, 1239, 62325, 607, 6672, 26135, 9935, 1133, 808, 71073, 11382, 507, 236829, 653, 808, 62251, 535, 10464, 1438, 236829, 3209, 531, 37837, 9226, 19549, 236761, 3792, 236858, 236751, 7162, 2918, 684, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 827, 623, 19112, 1083, 11058, 4602, 1575, 220267, 827, 623, 14789, 800, 77152, 827, 623, 158333, 26497, 1610, 14255, 623, 23184, 1083, 623, 39476, 1702, 18482, 28239, 10682, 236763, 111808, 9935, 23179, 3714, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 827, 623, 19112, 1083, 11058, 86436, 3668, 11089, 827, 623, 3070, 2890, 827, 623, 62251, 535, 10464, 1438, 14255, 623, 23184, 1083, 623, 175266, 1090, 6672, 30484, 10464, 1438, 59491, 23179, 3714, 2451, 1083, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 827, 623, 19112, 1083, 11058, 1659, 117250, 1610, 827, 623, 3070, 1702, 827, 623, 50771, 19549, 14255, 623, 23184, 1083, 623, 120453, 529, 30737, 532, 4532, 26135, 4820, 25938, 1604, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 699, 3104, 236743, 236778, 529, 506, 3303, 3927, 236787, 108, 236770, 236761, 5213, 236840, 4602, 1575, 220267, 2890, 607, 10682, 236763, 111808, 9935, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 4602, 1575, 220267, 236764, 30520, 77152, 236764, 26135, 26497, 1610, 236829, 138, 107, 139, 26253, 236787, 167132, 10682, 236763, 111808, 568, 64915, 26135, 26497, 7626, 58435, 236768, 22420, 1131, 1702, 236761, 108, 236778, 236761, 5213, 236840, 9020, 2890, 607, 30484, 10464, 1438, 59491, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 86436, 3668, 11089, 236764, 30484, 10464, 1438, 236829, 138, 107, 139, 26253, 236787, 25772, 52996, 3627, 236772, 65657, 9935, 62803, 529, 118011, 569, 1450, 12402, 44779, 31851, 236761, 108, 236800, 236761, 5213, 236840, 111534, 19549, 1702, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 62902, 138, 107, 139, 29403, 236787, 808, 1659, 117250, 1610, 236764, 30737, 59491, 236829, 138, 107, 139, 26253, 236787, 21807, 1472, 877, 236772, 1980, 3464, 1037, 16271, 607, 4532, 73945, 236761, 108, 1018, 9272, 6555, 66515, 138, 107, 236772, 11338, 236743, 236778, 44423, 886, 50256, 220267, 2591, 568, 4060, 10682, 236763, 11382, 507, 236768, 532, 1156, 3188, 9226, 19549, 8698, 236761, 138, 107, 236772, 21284, 611, 1133, 531, 236787, 138, 107, 138, 236770, 236761, 101685, 531, 5213, 4000, 236743, 236800, 1018, 531, 4102, 22260, 506, 3303, 7609, 236881, 138, 107, 138, 236778, 236761, 10867, 688, 506, 3927, 531, 5213, 236775, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 1018, 573, 919, 20054, 2536, 236881, 138, 107, 138, 236800, 236761, 8600, 496, 861, 7609, 19541, 580, 5213, 236775, 71073, 11382, 507, 236786, 62251, 535, 10464, 1438, 528, 2260, 1702, 236775, 1018, 573, 19276, 9226, 4403, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 7166, 688, 506, 3927, 1699, 506, 1941, 5213, 236775, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 1018, 531, 9385, 919, 10317, 8698, 236761, 669, 10682, 236763, 111808, 532, 30484, 10464, 1438, 4820, 659, 50612, 236764, 840, 564, 1461, 531, 56856, 220267, 236858, 236751, 13526, 1171, 531, 5330, 8744, 573, 1116, 3336, 236761, 1637, 672, 861, 7609, 15741, 16317, 2536, 236764, 692, 740, 3209, 10059, 1063, 531, 4071, 236772, 30449, 607, 3530, 59491, 1133, 10682, 236763, 11382, 507, 236761, 3792, 236858, 236751, 1460, 1144, 672, 33093, 3927, 14581, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 11058, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 827, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 827, 623, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 14255, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236812, 236778, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 4874, 236779, 4000, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4068, 2536, 573, 506, 33093, 7609, 5213, 236775, 4602, 1575, 220267, 26497, 1610, 2260, 13526, 236775, 1018, 568, 4163, 236743, 236770, 1473, 108, 236770, 236761, 5213, 236840, 1779, 236743, 236770, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236770, 236761, 4034, 62902, 138, 107, 236778, 236761, 5213, 236840, 1779, 236743, 236778, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236778, 236761, 4034, 62902, 138, 107, 236800, 236761, 5213, 236840, 1779, 236743, 236800, 5457, 2574, 1411, 196511, 236761, 854, 236786, 3304, 236800, 236761, 4034, 62902, 138, 108, 1018, 9640, 2536, 1765, 66515, 236743, 236770, 236812, 236778, 568, 47706, 3418, 5065, 7704, 769, 138, 108, 9208, 9851, 1982, 531, 157287, 12714, 18482, 26497, 1610, 236772, 52728, 2260, 13526, 529, 50256, 220267, 236858, 236751, 4146, 236761, 669, 11803, 4547, 27968, 28239, 26135, 9935, 236764, 30737, 104164, 236764, 653, 6672, 2258, 140918, 236761, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236772, 5213, 2039, 11338, 236743, 236778, 1018, 529, 672, 33093, 3927, 573, 919, 8698, 236881, 138, 107, 236772, 12713, 236772, 30449, 3530, 59491, 1133, 5213, 71073, 11382, 507, 1018, 653, 5213, 62251, 535, 10464, 1438, 1018, 528, 220267, 236858, 236751, 13526, 236881, 138, 107, 236772, 18898, 1239, 2536, 532, 7162, 531, 18840, 9226, 19549, 4820, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 56856, 2148, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 6995, 531, 1769, 1041, 2523, 27695, 528, 506, 8098, 185967, 31093, 2148, 2297, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 3892, 4108, 236755, 1853, 6807, 506, 1873, 7606, 532, 35750, 993, 236881, 564, 1461, 531, 1460, 1144, 506, 3439, 659, 1133, 1680, 692, 3294, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 14084, 236779, 1201, 1083, 623, 1829, 522, 27776, 91510, 190283, 827, 623, 7125, 1083, 623, 1829, 522, 27776, 91510, 236764, 26493, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 92186, 27776, 236779, 197080, 236761, 4034, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4002, 236779, 41907, 1083, 623, 7783, 586, 35898, 236764, 236743, 236825, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236764, 27820, 236743, 236770, 236771, 7635, 23179, 3714, 14084, 236779, 1201, 1083, 623, 4199, 13395, 62478, 190283, 827, 623, 7125, 1083, 623, 4199, 13395, 62478, 236764, 23316, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 1951, 13395, 236779, 27352, 236761, 4034, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 827, 623, 4002, 236779, 41907, 1083, 623, 118538, 236764, 236743, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236764, 3582, 55748, 23179, 3714, 14084, 236779, 1201, 1083, 623, 236823, 502, 3775, 9339, 190283, 827, 623, 7125, 1083, 623, 236823, 502, 3775, 9339, 236764, 26493, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 57898, 3775, 9339, 236761, 4034, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 4002, 236779, 41907, 1083, 623, 21723, 236762, 236764, 236743, 236832, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236764, 2214, 6927, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 3892, 81159, 8208, 699, 506, 8098, 185967, 31093, 2433, 531, 1601, 611, 2731, 822, 27695, 7946, 236787, 108, 236770, 236761, 5213, 1829, 522, 27776, 91510, 190283, 568, 71488, 62902, 138, 107, 139, 236772, 236743, 251074, 238178, 14040, 32288, 236787, 216726, 35898, 236764, 236743, 236825, 236828, 237366, 236811, 236764, 27820, 236743, 236770, 236771, 7635, 138, 107, 139, 236772, 236743, 249460, 11662, 42841, 236787, 3353, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236800, 236787, 236771, 236771, 8711, 59528, 138, 107, 139, 236772, 236743, 243826, 870, 2039, 15097, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 92186, 27776, 236779, 197080, 236761, 4034, 236768, 108, 236778, 236761, 5213, 4199, 13395, 62478, 190283, 568, 10284, 62902, 138, 107, 139, 236772, 236743, 169986, 14040, 32288, 236787, 52489, 236764, 236743, 236832, 236810, 237366, 236811, 236764, 3582, 55748, 138, 107, 139, 236772, 236743, 249460, 11662, 42841, 236787, 3353, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236810, 236810, 8711, 59528, 138, 107, 139, 236772, 236743, 243826, 870, 2039, 15097, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 1951, 13395, 236779, 27352, 236761, 4034, 236768, 108, 236800, 236761, 5213, 236823, 502, 3775, 9339, 190283, 568, 71488, 62902, 138, 107, 139, 236772, 236743, 247898, 238178, 14040, 32288, 236787, 130915, 236764, 236743, 236832, 236771, 237366, 236811, 236764, 2214, 6927, 138, 107, 139, 236772, 236743, 249460, 11662, 42841, 236787, 3353, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236810, 236771, 8711, 59528, 138, 107, 139, 236772, 236743, 243826, 870, 2039, 15097, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 57898, 3775, 9339, 236761, 4034, 236768, 108, 236829, 10282, 236787, 3143, 659, 1759, 236772, 2289, 12496, 699, 5125, 4467, 4108, 236755, 1853, 236761, 669, 9851, 2787, 659, 93647, 8698, 2192, 5396, 3892, 40037, 1149, 1660, 16270, 506, 4025, 4556, 6007, 4456, 573, 27662, 2802, 9603, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 16329, 4767, 11024, 653, 6995, 1032, 10217, 529, 822, 7946, 236888, 236743, 249851, 238178, 106, 107, 105, 2364, 107, 12879, 573, 11211, 1724, 81159, 12496, 236888, 28344, 611, 2426, 506, 7606, 14415, 573, 506, 2148, 1806, 2668, 528, 506, 8098, 185967, 31093, 2433, 236881, 564, 1461, 531, 1281, 768, 692, 1374, 3294, 4481, 6927, 13290, 653, 768, 625, 236789, 859, 4196, 6299, 573, 506, 6214, 236789, 1171, 27695, 7946, 236761, 2195, 236789, 500, 9775, 840, 564, 1461, 531, 1386, 2889, 901, 236789, 500, 5508, 573, 9002, 506, 13254, 6184, 657, 775, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 20418, 185967, 31093, 4025, 4556, 28789, 74544, 753, 126809, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 1568, 4671, 236786, 675, 1309, 700, 37620, 236786, 19323, 236761, 34723, 827, 623, 143399, 1083, 623, 68734, 7606, 14415, 573, 8098, 185967, 31093, 4025, 4556, 236761, 14040, 3439, 532, 236743, 236800, 236772, 1496, 32672, 573, 6995, 822, 3517, 221476, 3714, 3250, 1083, 623, 26588, 236761, 12561, 753, 185967, 31093, 74544, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19323, 236761, 12561, 236786, 628, 236809, 236786, 10005, 232371, 208571, 827, 623, 143399, 1083, 623, 20918, 28789, 6007, 14415, 573, 506, 8098, 185967, 31093, 2433, 236764, 2440, 31632, 18190, 532, 4022, 21280, 221476, 3714, 3250, 1083, 623, 5475, 236756, 26588, 236787, 8098, 185967, 31093, 236743, 236800, 236772, 13265, 74544, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 3993, 236756, 19323, 236761, 854, 236786, 501, 236786, 605, 236786, 36713, 236772, 4671, 232371, 236772, 20882, 2279, 236786, 236778, 236828, 236832, 236778, 236819, 236786, 19323, 236772, 52511, 236786, 236800, 236778, 236832, 236810, 236771, 236778, 827, 623, 143399, 1083, 623, 92736, 236743, 236800, 236772, 1496, 7606, 14415, 607, 51599, 12496, 236764, 31632, 9948, 236764, 532, 4022, 15067, 1781, 165075, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 1982, 2802, 531, 7606, 14415, 1262, 1343, 506, 1873, 6436, 236764, 840, 564, 1765, 1239, 5213, 56488, 7021, 1018, 1298, 611, 740, 2426, 506, 6524, 236743, 236800, 236772, 1496, 7606, 14415, 573, 506, 8098, 185967, 31093, 236787, 108, 236770, 236761, 236743, 251074, 238178, 5213, 20918, 4556, 6007, 568, 236797, 4502, 236768, 34883, 74544, 1018, 138, 107, 139, 236840, 20418, 185967, 31093, 28789, 11338, 5457, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 1568, 4671, 236786, 675, 1309, 700, 37620, 236786, 19323, 236761, 34723, 236768, 138, 107, 139, 236829, 818, 4467, 236789, 236751, 1852, 7606, 12496, 532, 51679, 573, 13131, 236829, 108, 236778, 236761, 236743, 250759, 238178, 5213, 20918, 28789, 6007, 568, 236797, 10124, 236768, 74544, 1018, 138, 107, 139, 236840, 10005, 232371, 31093, 74544, 5457, 2574, 1411, 2769, 236761, 19323, 236761, 12561, 236786, 628, 236809, 236786, 10005, 232371, 208571, 236768, 138, 107, 139, 236829, 92736, 51599, 31632, 18190, 236764, 4022, 21280, 236764, 532, 12778, 7606, 51679, 236829, 108, 236800, 236761, 236743, 249772, 5213, 5475, 236756, 26588, 236743, 236800, 236772, 13265, 42746, 1018, 138, 107, 139, 236840, 20418, 185967, 31093, 28789, 5457, 2574, 1411, 2769, 236761, 3993, 236756, 19323, 236761, 854, 236786, 501, 236786, 605, 236786, 36713, 236772, 4671, 232371, 236772, 20882, 2279, 236786, 236778, 236828, 236832, 236778, 236819, 236786, 19323, 236772, 52511, 236786, 236800, 236778, 236832, 236810, 236771, 236778, 236768, 138, 107, 139, 236829, 236527, 136031, 607, 6927, 9948, 532, 6573, 3439, 236829, 108, 1018, 1489, 6508, 66515, 669, 72644, 3775, 9339, 81159, 568, 70177, 528, 1041, 3527, 3618, 236768, 5633, 815, 808, 3223, 6927, 30237, 834, 30295, 35918, 60084, 532, 3823, 236772, 51686, 15337, 1093, 577, 21608, 573, 506, 6214, 236761, 1701, 506, 1346, 11459, 14415, 12532, 531, 822, 7946, 3433, 236764, 2426, 1239, 7088, 6376, 2192, 10565, 7606, 740, 2352, 13380, 236888, 236743, 246487, 247949, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9851, 236764, 840, 1451, 611, 1586, 506, 5396, 14415, 4889, 573, 506, 2148, 1806, 2668, 236881, 564, 1202, 531, 1281, 506, 4453, 6927, 18190, 532, 11139, 531, 3294, 9668, 236761, 669, 222549, 974, 7445, 3735, 236764, 532, 564, 1461, 531, 1386, 2889, 901, 1537, 236789, 236745, 4682, 496, 44323, 855, 993, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 1982, 2802, 531, 1759, 236772, 2289, 7606, 14415, 1262, 1343, 506, 1873, 6436, 2192, 506, 2487, 5151, 1186, 1894, 81159, 38332, 236764, 2870, 3927, 2536, 236764, 532, 1032, 1908, 236772, 19323, 236772, 15396, 6675, 236761, 3153, 236764, 506, 5213, 56488, 7021, 564, 7659, 6517, 1018, 659, 822, 1791, 1146, 573, 11459, 236764, 9813, 49054, 236787, 108, 236770, 236761, 5213, 20918, 4556, 6007, 568, 236797, 4502, 62902, 236787, 870, 20418, 185967, 31093, 28789, 11338, 5457, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 1568, 4671, 236786, 675, 1309, 700, 37620, 236786, 19323, 236761, 34723, 236768, 138, 107, 139, 238183, 49308, 808, 56488, 4467, 236772, 15396, 49054, 236829, 607, 26982, 236772, 5140, 4889, 568, 39633, 573, 10565, 7606, 769, 108, 236778, 236761, 5213, 20918, 28789, 6007, 568, 236797, 10124, 62902, 236787, 870, 10005, 232371, 31093, 74544, 5457, 2574, 1411, 2769, 236761, 19323, 236761, 12561, 236786, 628, 236809, 236786, 10005, 232371, 208571, 236768, 138, 107, 139, 238183, 64253, 808, 180981, 31632, 18190, 30237, 6573, 23257, 236764, 532, 12778, 7606, 51679, 236761, 108, 236800, 236761, 5213, 5475, 236756, 26588, 66515, 870, 20418, 185967, 31093, 236743, 236800, 236772, 13265, 74544, 5457, 2574, 1411, 2769, 236761, 3993, 236756, 19323, 236761, 854, 236786, 501, 236786, 605, 236786, 36713, 236772, 4671, 232371, 236772, 20882, 2279, 236786, 236778, 236828, 236832, 236778, 236819, 236786, 19323, 236772, 52511, 236786, 236800, 236778, 236832, 236810, 236771, 236778, 236768, 138, 107, 139, 238183, 56217, 808, 27495, 21280, 236764, 6927, 9948, 236764, 532, 6573, 44323, 236829, 573, 1546, 1719, 236761, 108, 1018, 1489, 6508, 573, 222549, 66515, 17587, 7606, 3731, 13380, 236888, 7179, 1239, 7088, 236743, 236770, 236964, 236778, 2668, 1680, 822, 7946, 573, 506, 6524, 12496, 236761, 1637, 6927, 563, 4275, 568, 5282, 506, 72644, 3775, 9339, 81159, 6418, 2214, 6927, 3124, 779, 3294, 35918, 12627, 236764, 4481, 34765, 236764, 532, 3823, 236772, 51686, 12799, 573, 506, 6214, 236761, 30164, 33036, 236888, 236743, 246487, 247949, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 6995, 531, 1769, 1041, 2523, 27695, 528, 506, 8098, 185967, 31093, 2148, 2297, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 3892, 4108, 236755, 1853, 6807, 506, 1873, 7606, 532, 35750, 993, 236881, 564, 1461, 531, 1460, 1144, 506, 3439, 659, 1133, 1680, 692, 3294, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 14084, 236779, 1201, 1083, 623, 1829, 522, 27776, 91510, 190283, 827, 623, 7125, 1083, 623, 1829, 522, 27776, 91510, 236764, 26493, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 92186, 27776, 236779, 197080, 236761, 4034, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4002, 236779, 41907, 1083, 623, 7783, 586, 35898, 236764, 236743, 236825, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236764, 27820, 236743, 236770, 236771, 7635, 23179, 3714, 14084, 236779, 1201, 1083, 623, 4199, 13395, 62478, 190283, 827, 623, 7125, 1083, 623, 4199, 13395, 62478, 236764, 23316, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 1951, 13395, 236779, 27352, 236761, 4034, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 827, 623, 4002, 236779, 41907, 1083, 623, 118538, 236764, 236743, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236764, 3582, 55748, 23179, 3714, 14084, 236779, 1201, 1083, 623, 236823, 502, 3775, 9339, 190283, 827, 623, 7125, 1083, 623, 236823, 502, 3775, 9339, 236764, 26493, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 57898, 3775, 9339, 236761, 4034, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 4002, 236779, 41907, 1083, 623, 21723, 236762, 236764, 236743, 236832, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236764, 2214, 6927, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 3892, 81159, 8208, 699, 506, 8098, 185967, 31093, 2433, 531, 1601, 611, 2731, 822, 27695, 7946, 236787, 108, 236770, 236761, 5213, 1829, 522, 27776, 91510, 190283, 568, 71488, 62902, 138, 107, 139, 236772, 236743, 251074, 238178, 14040, 32288, 236787, 216726, 35898, 236764, 236743, 236825, 236828, 237366, 236811, 236764, 27820, 236743, 236770, 236771, 7635, 138, 107, 139, 236772, 236743, 249460, 11662, 42841, 236787, 3353, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236800, 236787, 236771, 236771, 8711, 59528, 138, 107, 139, 236772, 236743, 243826, 870, 2039, 15097, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 92186, 27776, 236779, 197080, 236761, 4034, 236768, 108, 236778, 236761, 5213, 4199, 13395, 62478, 190283, 568, 10284, 62902, 138, 107, 139, 236772, 236743, 169986, 14040, 32288, 236787, 52489, 236764, 236743, 236832, 236810, 237366, 236811, 236764, 3582, 55748, 138, 107, 139, 236772, 236743, 249460, 11662, 42841, 236787, 3353, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236810, 236810, 8711, 59528, 138, 107, 139, 236772, 236743, 243826, 870, 2039, 15097, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 1951, 13395, 236779, 27352, 236761, 4034, 236768, 108, 236800, 236761, 5213, 236823, 502, 3775, 9339, 190283, 568, 71488, 62902, 138, 107, 139, 236772, 236743, 247898, 238178, 14040, 32288, 236787, 130915, 236764, 236743, 236832, 236771, 237366, 236811, 236764, 2214, 6927, 138, 107, 139, 236772, 236743, 249460, 11662, 42841, 236787, 3353, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236810, 236771, 8711, 59528, 138, 107, 139, 236772, 236743, 243826, 870, 2039, 15097, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 5166, 236755, 1853, 236786, 57898, 3775, 9339, 236761, 4034, 236768, 108, 236829, 10282, 236787, 3143, 659, 1759, 236772, 2289, 12496, 699, 5125, 4467, 4108, 236755, 1853, 236761, 669, 9851, 2787, 659, 93647, 8698, 2192, 5396, 3892, 40037, 1149, 1660, 16270, 506, 4025, 4556, 6007, 4456, 573, 27662, 2802, 9603, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 16329, 4767, 11024, 653, 6995, 1032, 10217, 529, 822, 7946, 236888, 236743, 249851, 238178, 106, 107, 105, 2364, 107, 12879, 573, 11211, 1724, 81159, 12496, 236888, 28344, 611, 2426, 506, 7606, 14415, 573, 506, 2148, 1806, 2668, 528, 506, 8098, 185967, 31093, 2433, 236881, 564, 1461, 531, 1281, 768, 692, 1374, 3294, 4481, 6927, 13290, 653, 768, 625, 236789, 859, 4196, 6299, 573, 506, 6214, 236789, 1171, 27695, 7946, 236761, 2195, 236789, 500, 9775, 840, 564, 1461, 531, 1386, 2889, 901, 236789, 500, 5508, 573, 9002, 506, 13254, 6184, 657, 775, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 20418, 185967, 31093, 4025, 4556, 28789, 74544, 753, 126809, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 1568, 4671, 236786, 675, 1309, 700, 37620, 236786, 19323, 236761, 34723, 827, 623, 143399, 1083, 623, 68734, 7606, 14415, 573, 8098, 185967, 31093, 4025, 4556, 236761, 14040, 3439, 532, 236743, 236800, 236772, 1496, 32672, 573, 6995, 822, 3517, 221476, 3714, 3250, 1083, 623, 26588, 236761, 12561, 753, 185967, 31093, 74544, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19323, 236761, 12561, 236786, 628, 236809, 236786, 10005, 232371, 208571, 827, 623, 143399, 1083, 623, 20918, 28789, 6007, 14415, 573, 506, 8098, 185967, 31093, 2433, 236764, 2440, 31632, 18190, 532, 4022, 21280, 221476, 3714, 3250, 1083, 623, 5475, 236756, 26588, 236787, 8098, 185967, 31093, 236743, 236800, 236772, 13265, 74544, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 3993, 236756, 19323, 236761, 854, 236786, 501, 236786, 605, 236786, 36713, 236772, 4671, 232371, 236772, 20882, 2279, 236786, 236778, 236828, 236832, 236778, 236819, 236786, 19323, 236772, 52511, 236786, 236800, 236778, 236832, 236810, 236771, 236778, 827, 623, 143399, 1083, 623, 92736, 236743, 236800, 236772, 1496, 7606, 14415, 607, 51599, 12496, 236764, 31632, 9948, 236764, 532, 4022, 15067, 1781, 165075, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 1982, 2802, 531, 7606, 14415, 1262, 1343, 506, 1873, 6436, 236764, 840, 564, 1765, 1239, 5213, 56488, 7021, 1018, 1298, 611, 740, 2426, 506, 6524, 236743, 236800, 236772, 1496, 7606, 14415, 573, 506, 8098, 185967, 31093, 236787, 108, 236770, 236761, 236743, 251074, 238178, 5213, 20918, 4556, 6007, 568, 236797, 4502, 236768, 34883, 74544, 1018, 138, 107, 139, 236840, 20418, 185967, 31093, 28789, 11338, 5457, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 1568, 4671, 236786, 675, 1309, 700, 37620, 236786, 19323, 236761, 34723, 236768, 138, 107, 139, 236829, 818, 4467, 236789, 236751, 1852, 7606, 12496, 532, 51679, 573, 13131, 236829, 108, 236778, 236761, 236743, 250759, 238178, 5213, 20918, 28789, 6007, 568, 236797, 10124, 236768, 74544, 1018, 138, 107, 139, 236840, 10005, 232371, 31093, 74544, 5457, 2574, 1411, 2769, 236761, 19323, 236761, 12561, 236786, 628, 236809, 236786, 10005, 232371, 208571, 236768, 138, 107, 139, 236829, 92736, 51599, 31632, 18190, 236764, 4022, 21280, 236764, 532, 12778, 7606, 51679, 236829, 108, 236800, 236761, 236743, 249772, 5213, 5475, 236756, 26588, 236743, 236800, 236772, 13265, 42746, 1018, 138, 107, 139, 236840, 20418, 185967, 31093, 28789, 5457, 2574, 1411, 2769, 236761, 3993, 236756, 19323, 236761, 854, 236786, 501, 236786, 605, 236786, 36713, 236772, 4671, 232371, 236772, 20882, 2279, 236786, 236778, 236828, 236832, 236778, 236819, 236786, 19323, 236772, 52511, 236786, 236800, 236778, 236832, 236810, 236771, 236778, 236768, 138, 107, 139, 236829, 236527, 136031, 607, 6927, 9948, 532, 6573, 3439, 236829, 108, 1018, 1489, 6508, 66515, 669, 72644, 3775, 9339, 81159, 568, 70177, 528, 1041, 3527, 3618, 236768, 5633, 815, 808, 3223, 6927, 30237, 834, 30295, 35918, 60084, 532, 3823, 236772, 51686, 15337, 1093, 577, 21608, 573, 506, 6214, 236761, 1701, 506, 1346, 11459, 14415, 12532, 531, 822, 7946, 3433, 236764, 2426, 1239, 7088, 6376, 2192, 10565, 7606, 740, 2352, 13380, 236888, 236743, 246487, 247949, 106, 107, 105, 2364, 107, 236777, 14756, 506, 9851, 236764, 840, 1451, 611, 1586, 506, 5396, 14415, 4889, 573, 506, 2148, 1806, 2668, 236881, 564, 1202, 531, 1281, 506, 4453, 6927, 18190, 532, 11139, 531, 3294, 9668, 236761, 669, 222549, 974, 7445, 3735, 236764, 532, 564, 1461, 531, 1386, 2889, 901, 1537, 236789, 236745, 4682, 496, 44323, 855, 993, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 1982, 2802, 531, 1759, 236772, 2289, 7606, 14415, 1262, 1343, 506, 1873, 6436, 2192, 506, 2487, 5151, 1186, 1894, 81159, 38332, 236764, 2870, 3927, 2536, 236764, 532, 1032, 1908, 236772, 19323, 236772, 15396, 6675, 236761, 3153, 236764, 506, 5213, 56488, 7021, 564, 7659, 6517, 1018, 659, 822, 1791, 1146, 573, 11459, 236764, 9813, 49054, 236787, 108, 236770, 236761, 5213, 20918, 4556, 6007, 568, 236797, 4502, 62902, 236787, 870, 20418, 185967, 31093, 28789, 11338, 5457, 2574, 1411, 2769, 236761, 236749, 975, 236761, 12561, 236786, 1568, 4671, 236786, 675, 1309, 700, 37620, 236786, 19323, 236761, 34723, 236768, 138, 107, 139, 238183, 49308, 808, 56488, 4467, 236772, 15396, 49054, 236829, 607, 26982, 236772, 5140, 4889, 568, 39633, 573, 10565, 7606, 769, 108, 236778, 236761, 5213, 20918, 28789, 6007, 568, 236797, 10124, 62902, 236787, 870, 10005, 232371, 31093, 74544, 5457, 2574, 1411, 2769, 236761, 19323, 236761, 12561, 236786, 628, 236809, 236786, 10005, 232371, 208571, 236768, 138, 107, 139, 238183, 64253, 808, 180981, 31632, 18190, 30237, 6573, 23257, 236764, 532, 12778, 7606, 51679, 236761, 108, 236800, 236761, 5213, 5475, 236756, 26588, 66515, 870, 20418, 185967, 31093, 236743, 236800, 236772, 13265, 74544, 5457, 2574, 1411, 2769, 236761, 3993, 236756, 19323, 236761, 854, 236786, 501, 236786, 605, 236786, 36713, 236772, 4671, 232371, 236772, 20882, 2279, 236786, 236778, 236828, 236832, 236778, 236819, 236786, 19323, 236772, 52511, 236786, 236800, 236778, 236832, 236810, 236771, 236778, 236768, 138, 107, 139, 238183, 56217, 808, 27495, 21280, 236764, 6927, 9948, 236764, 532, 6573, 44323, 236829, 573, 1546, 1719, 236761, 108, 1018, 1489, 6508, 573, 222549, 66515, 17587, 7606, 3731, 13380, 236888, 7179, 1239, 7088, 236743, 236770, 236964, 236778, 2668, 1680, 822, 7946, 573, 506, 6524, 12496, 236761, 1637, 6927, 563, 4275, 568, 5282, 506, 72644, 3775, 9339, 81159, 6418, 2214, 6927, 3124, 779, 3294, 35918, 12627, 236764, 4481, 34765, 236764, 532, 3823, 236772, 51686, 12799, 573, 506, 6214, 236761, 30164, 33036, 236888, 236743, 246487, 247949, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 784, 12384, 684, 188205, 236762, 217003, 531, 1138, 531, 1041, 7972, 4598, 44262, 236761, 3199, 611, 33205, 600, 1938, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 78493, 3250, 1083, 623, 109095, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236770, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 236777, 16175, 531, 104323, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236770, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 59591, 68216, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236800, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 5778, 236789, 236751, 26660, 1599, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236778, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 30418, 495, 236789, 4210, 99232, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236810, 236832, 236764, 623, 56036, 1083, 623, 27969, 25938, 1604, 623, 6725, 236779, 78382, 1083, 236743, 236810, 236764, 623, 31040, 1083, 623, 236791, 2139, 236762, 217003, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 529, 188205, 236762, 217003, 236789, 236751, 1346, 22799, 12384, 600, 1093, 4011, 822, 7972, 4598, 44262, 236787, 108, 236770, 236761, 5213, 109095, 1018, 568, 236770, 236819, 236825, 236770, 236768, 753, 17694, 138, 107, 236778, 236761, 5213, 236777, 16175, 531, 104323, 1018, 568, 236770, 236819, 236825, 236770, 236768, 753, 17694, 138, 107, 236800, 236761, 5213, 59591, 68216, 1018, 568, 236770, 236819, 236825, 236800, 236768, 753, 17694, 138, 107, 236812, 236761, 5213, 5778, 236789, 236751, 26660, 1599, 1018, 568, 236770, 236819, 236825, 236778, 236768, 753, 17694, 138, 107, 236810, 236761, 5213, 30418, 495, 236789, 4210, 99232, 1018, 568, 236770, 236819, 236810, 236832, 236768, 753, 17694, 138, 108, 9208, 56870, 59454, 32545, 1116, 14187, 2891, 5057, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8009, 919, 16710, 653, 4889, 236888, 236743, 243336, 106, 107, 105, 2364, 107, 6445, 600, 564, 735, 1070, 529, 188205, 236762, 217003, 236789, 236751, 22799, 12384, 236764, 564, 236789, 236753, 1133, 531, 5330, 564, 735, 1418, 3161, 4087, 1304, 9941, 573, 1041, 44262, 236761, 28344, 611, 33205, 506, 4133, 1694, 529, 784, 12384, 1304, 3785, 6811, 1699, 506, 784, 236779, 78382, 236779, 2543, 236779, 31040, 5904, 236881, 564, 1461, 531, 1386, 2889, 1041, 7972, 4598, 53063, 563, 11087, 13611, 236888, 236743, 244722, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 11058, 109095, 827, 623, 236777, 16175, 531, 104323, 827, 623, 59591, 68216, 827, 623, 96413, 4210, 99232, 827, 623, 19765, 118807, 45313, 528, 614, 222955, 1254, 827, 623, 148725, 580, 5180, 24604, 827, 623, 5778, 236789, 236751, 26660, 1599, 827, 623, 11355, 3199, 236789, 236745, 1293, 2199, 1599, 827, 623, 236811, 13496, 11543, 827, 623, 11069, 2935, 7532, 236789, 19657, 827, 623, 5566, 528, 23753, 236789, 236751, 64599, 827, 623, 8993, 236789, 236745, 19865, 38591, 3060, 14276, 827, 623, 818, 19657, 1599, 26192, 3353, 2199, 5180, 28543, 827, 623, 236776, 8137, 236764, 562, 5762, 3352, 236764, 1452, 4298, 139408, 827, 623, 59591, 622, 172655, 236789, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 919, 13611, 1694, 529, 188205, 236762, 217003, 236858, 236751, 12384, 699, 506, 5904, 236858, 236751, 6524, 3072, 236764, 26614, 1800, 25282, 236787, 108, 1018, 236791, 2139, 236762, 217003, 236858, 236751, 26158, 42263, 5167, 568, 2543, 5904, 1262, 1473, 1018, 138, 107, 236770, 236761, 5213, 109095, 1018, 568, 236770, 236819, 236825, 236770, 236768, 138, 107, 236778, 236761, 5213, 236777, 16175, 531, 104323, 1018, 568, 236770, 236819, 236825, 236770, 236768, 138, 107, 236800, 236761, 5213, 59591, 68216, 1018, 568, 236770, 236819, 236825, 236800, 236768, 138, 107, 236812, 236761, 5213, 5778, 236858, 236751, 26660, 1599, 1018, 568, 236770, 236819, 236825, 236778, 236768, 138, 107, 236810, 236761, 5213, 30418, 495, 236858, 4210, 99232, 1018, 568, 236770, 236819, 236810, 236832, 236768, 138, 107, 236825, 236761, 5213, 19765, 118807, 45313, 528, 614, 222955, 1254, 1018, 138, 107, 236832, 236761, 5213, 148725, 580, 5180, 24604, 1018, 138, 107, 236828, 236761, 5213, 11355, 3199, 236858, 236745, 1293, 2199, 1599, 1018, 138, 107, 236819, 236761, 5213, 236811, 13496, 11543, 1018, 138, 107, 236770, 236771, 236761, 5213, 11069, 2935, 7532, 236858, 19657, 1018, 138, 107, 236770, 236770, 236761, 5213, 5566, 528, 23753, 236858, 236751, 64599, 1018, 138, 107, 236770, 236778, 236761, 5213, 8993, 236858, 236745, 19865, 38591, 3060, 14276, 1018, 138, 107, 236770, 236800, 236761, 5213, 818, 19657, 1599, 26192, 3353, 2199, 5180, 28543, 1018, 138, 107, 236770, 236812, 236761, 5213, 236776, 8137, 236764, 562, 5762, 3352, 236764, 1452, 4298, 139408, 1018, 138, 107, 236770, 236810, 236761, 5213, 59591, 622, 172655, 236858, 1018, 138, 108, 2094, 1694, 5132, 5213, 236770, 236810, 16710, 1018, 50317, 1116, 22799, 16737, 532, 19276, 19945, 236761, 1701, 10298, 60755, 236764, 5433, 600, 1070, 6436, 1149, 4576, 2536, 568, 236744, 236761, 236759, 1126, 225046, 531, 236743, 236770, 236771, 4852, 769, 1637, 611, 1202, 919, 16710, 653, 4889, 1133, 5588, 1518, 573, 784, 12384, 236764, 564, 740, 59638, 506, 3927, 653, 3600, 4071, 236772, 35380, 9908, 607, 4252, 34438, 1133, 2343, 24068, 653, 41801, 236888, 236743, 242560, 243336, 106, 107, 105, 2364, 107, 2021, 5330, 822, 44262, 563, 9995, 4133, 236764, 564, 236858, 859, 2864, 506, 5904, 531, 33205, 5213, 1048, 531, 236743, 236810, 236771, 12384, 1018, 672, 990, 236761, 4943, 14175, 4576, 2536, 684, 3678, 236764, 834, 5683, 506, 4576, 795, 1601, 12203, 1027, 9724, 16710, 236761, 3792, 236858, 236751, 12270, 506, 9239, 1694, 236888, 5213, 3932, 53121, 623, 10896, 506, 2165, 712, 236779, 78382, 236779, 2543, 236779, 31040, 236929, 5904, 1570, 607, 496, 5213, 17846, 529, 236743, 236810, 236771, 1018, 531, 33205, 1027, 4767, 188205, 236762, 217003, 12384, 6998, 506, 4068, 236743, 236770, 236810, 3016, 3847, 236761, 12713, 236772, 4256, 573, 87613, 532, 1694, 1027, 861, 16710, 1765, 1781, 1174, 1595, 236764, 692, 236858, 859, 9128, 3363, 993, 659, 919, 8401, 653, 32529, 236772, 5863, 12384, 531, 1138, 236888, 236743, 245147, 239794, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 11058, 109095, 827, 623, 236777, 16175, 531, 104323, 827, 623, 59591, 68216, 827, 623, 5566, 528, 23753, 236789, 236751, 64599, 827, 623, 5778, 236789, 236751, 26660, 1599, 827, 623, 148725, 580, 5180, 24604, 827, 623, 19765, 118807, 45313, 528, 614, 222955, 1254, 827, 623, 11355, 3199, 236789, 236745, 1293, 2199, 1599, 827, 623, 8993, 236789, 236745, 19865, 38591, 3060, 14276, 827, 623, 236811, 13496, 11543, 827, 623, 9259, 236764, 111605, 827, 623, 236777, 236789, 560, 93456, 532, 564, 236789, 560, 42327, 827, 623, 236791, 2139, 236762, 217003, 3293, 2624, 236787, 32277, 68216, 965, 3026, 564, 4987, 14935, 3227, 1599, 827, 623, 236776, 44125, 2599, 236789, 236751, 90197, 568, 3524, 496, 7536, 2599, 236789, 236751, 7707, 22730, 623, 3048, 21757, 3060, 11543, 1599, 827, 623, 818, 10957, 1476, 18324, 827, 623, 11896, 5641, 529, 76217, 568, 4088, 3551, 8512, 47687, 64599, 22730, 623, 45362, 5179, 827, 623, 236777, 236789, 560, 26660, 5393, 11968, 23825, 827, 623, 11069, 2935, 7532, 236789, 19657, 827, 623, 236777, 236789, 859, 54455, 3551, 34588, 92522, 827, 623, 1882, 20229, 529, 68216, 827, 623, 4339, 11543, 827, 623, 236777, 11543, 1599, 1593, 22090, 1030, 233282, 827, 623, 70895, 2981, 827, 623, 196638, 495, 236789, 756, 14670, 827, 623, 236777, 236789, 560, 26660, 496, 156147, 529, 3551, 28543, 827, 623, 3048, 236789, 500, 27717, 497, 52561, 3060, 827, 623, 818, 11662, 30402, 827, 623, 6372, 236789, 236751, 3551, 4524, 827, 623, 236777, 236789, 560, 73463, 72476, 13677, 827, 623, 236777, 236789, 560, 26660, 496, 144093, 580, 1599, 827, 623, 236777, 236789, 236757, 9595, 568, 236777, 236789, 236757, 9595, 22730, 623, 236777, 236789, 236757, 5180, 23753, 82948, 827, 623, 2859, 564, 28344, 5912, 506, 4109, 827, 623, 902, 506, 59759, 827, 623, 1509, 219708, 236789, 236745, 3803, 11063, 21757, 10976, 4221, 26532, 236767, 59927, 827, 623, 18109, 123075, 11200, 123075, 827, 623, 11896, 573, 4224, 827, 623, 6481, 506, 2474, 714, 32231, 16175, 827, 623, 146281, 6718, 827, 623, 41950, 83369, 827, 623, 144154, 236764, 87915, 3060, 531, 30784, 827, 623, 32631, 34746, 35632, 827, 623, 43146, 7578, 2375, 506, 12488, 7578, 827, 623, 4906, 684, 3656, 827, 623, 16904, 1599, 568, 3133, 1599, 92522, 22730, 623, 236791, 2139, 236762, 217003, 236789, 236751, 90333, 103084, 827, 623, 23243, 22982, 16402, 827, 623, 5778, 236789, 236751, 26660, 1599, 14255, 623, 6725, 236779, 78382, 1083, 236743, 236812, 236819, 236764, 623, 31040, 1083, 623, 236791, 2139, 236762, 217003, 827, 623, 14210, 1083, 623, 82793, 1694, 28725, 236761, 236743, 236800, 236812, 861, 16710, 1765, 6998, 506, 4068, 236743, 236770, 236810, 236764, 2440, 8401, 603, 236772, 132092, 532, 723, 82476, 40626, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 5213, 66011, 1694, 529, 236743, 236812, 236819, 12384, 1018, 52236, 573, 188205, 236762, 217003, 236764, 2440, 5213, 236800, 236812, 861, 16710, 1018, 6998, 506, 4068, 236743, 236770, 236810, 236787, 138, 108, 1018, 4199, 4140, 2020, 568, 236800, 236812, 82678, 1473, 1018, 138, 107, 236770, 236761, 26352, 236764, 111605, 138, 107, 236778, 236761, 564, 236789, 560, 93456, 532, 564, 236789, 560, 42327, 138, 107, 236800, 236761, 188205, 236762, 217003, 3293, 2624, 236787, 32277, 68216, 965, 3026, 564, 4987, 14935, 3227, 1599, 138, 107, 236812, 236761, 562, 44125, 2599, 236789, 236751, 90197, 568, 3524, 496, 7536, 2599, 236789, 236751, 7707, 236768, 138, 107, 236810, 236761, 1599, 21757, 3060, 11543, 1599, 138, 107, 236825, 236761, 669, 10957, 1476, 18324, 138, 107, 236832, 236761, 5393, 5641, 529, 76217, 568, 4088, 3551, 8512, 47687, 64599, 236768, 138, 107, 236828, 236761, 19657, 5179, 138, 107, 236819, 236761, 564, 236789, 560, 26660, 5393, 11968, 23825, 138, 107, 236770, 236771, 236761, 5180, 2935, 7532, 236789, 19657, 138, 107, 236770, 236770, 236761, 564, 236789, 859, 54455, 3551, 34588, 92522, 138, 107, 236770, 236778, 236761, 79781, 529, 68216, 138, 107, 236770, 236800, 236761, 6288, 11543, 138, 107, 236770, 236812, 236761, 564, 11543, 1599, 1593, 22090, 1030, 233282, 138, 107, 236770, 236810, 236761, 47302, 2981, 138, 107, 236770, 236825, 236761, 77625, 495, 236789, 756, 14670, 138, 107, 236770, 236832, 236761, 564, 236789, 560, 26660, 496, 156147, 529, 3551, 28543, 138, 107, 236770, 236828, 236761, 1599, 236789, 500, 27717, 497, 52561, 3060, 138, 107, 236770, 236819, 236761, 669, 11662, 30402, 138, 107, 236778, 236771, 236761, 2981, 236789, 236751, 3551, 4524, 138, 107, 236778, 236770, 236761, 564, 236789, 560, 73463, 72476, 13677, 138, 107, 236778, 236778, 236761, 564, 236789, 560, 26660, 496, 144093, 580, 1599, 138, 107, 236778, 236800, 236761, 564, 236789, 236757, 9595, 568, 236777, 236789, 236757, 9595, 236768, 138, 107, 236778, 236812, 236761, 564, 236789, 236757, 5180, 23753, 82948, 138, 107, 236778, 236810, 236761, 1637, 564, 28344, 5912, 506, 4109, 138, 107, 236778, 236825, 236761, 799, 506, 59759, 138, 107, 236778, 236832, 236761, 1030, 219708, 236789, 236745, 3803, 11063, 21757, 10976, 4221, 26532, 236767, 59927, 138, 107, 236778, 236828, 236761, 60847, 616, 11200, 123075, 138, 107, 236778, 236819, 236761, 5393, 573, 4224, 138, 107, 236800, 236771, 236761, 3792, 506, 2474, 714, 32231, 16175, 138, 107, 236800, 236770, 236761, 141427, 6718, 138, 107, 236800, 236778, 236761, 27680, 83369, 138, 107, 236800, 236800, 236761, 61107, 236764, 87915, 3060, 531, 30784, 138, 107, 236800, 236812, 236761, 15895, 7578, 2375, 506, 12488, 7578, 138, 108, 1018, 17667, 12613, 53121, 236743, 236812, 236819, 12384, 568, 16603, 8401, 603, 236772, 132092, 532, 723, 82476, 40626, 769, 138, 108, 1018, 10282, 53121, 669, 5904, 8323, 236743, 236812, 236819, 16710, 5205, 529, 236743, 236810, 236771, 236764, 837, 1149, 10128, 506, 5058, 236858, 236751, 5783, 4576, 653, 506, 2587, 9489, 529, 1116, 23191, 528, 910, 7948, 236761, 1701, 10298, 60755, 236764, 611, 1451, 4071, 236772, 30449, 607, 4252, 48531, 1133, 506, 13826, 529, 9687, 653, 5125, 188205, 236762, 217003, 55222, 573, 723, 82476, 92815, 653, 3892, 40626, 236761, 5180, 7972, 4598, 44262, 563, 1492, 20068, 13611, 236888, 236743, 245147, 243536, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 784, 12384, 684, 188205, 236762, 217003, 531, 1138, 531, 1041, 7972, 4598, 44262, 236761, 3199, 611, 33205, 600, 1938, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 78493, 3250, 1083, 623, 109095, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236770, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 236777, 16175, 531, 104323, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236770, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 59591, 68216, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236800, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 5778, 236789, 236751, 26660, 1599, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236778, 236764, 623, 56036, 1083, 623, 27969, 23179, 3714, 3250, 1083, 623, 30418, 495, 236789, 4210, 99232, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236810, 236832, 236764, 623, 56036, 1083, 623, 27969, 25938, 1604, 623, 6725, 236779, 78382, 1083, 236743, 236810, 236764, 623, 31040, 1083, 623, 236791, 2139, 236762, 217003, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 529, 188205, 236762, 217003, 236789, 236751, 1346, 22799, 12384, 600, 1093, 4011, 822, 7972, 4598, 44262, 236787, 108, 236770, 236761, 5213, 109095, 1018, 568, 236770, 236819, 236825, 236770, 236768, 753, 17694, 138, 107, 236778, 236761, 5213, 236777, 16175, 531, 104323, 1018, 568, 236770, 236819, 236825, 236770, 236768, 753, 17694, 138, 107, 236800, 236761, 5213, 59591, 68216, 1018, 568, 236770, 236819, 236825, 236800, 236768, 753, 17694, 138, 107, 236812, 236761, 5213, 5778, 236789, 236751, 26660, 1599, 1018, 568, 236770, 236819, 236825, 236778, 236768, 753, 17694, 138, 107, 236810, 236761, 5213, 30418, 495, 236789, 4210, 99232, 1018, 568, 236770, 236819, 236810, 236832, 236768, 753, 17694, 138, 108, 9208, 56870, 59454, 32545, 1116, 14187, 2891, 5057, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8009, 919, 16710, 653, 4889, 236888, 236743, 243336, 106, 107, 105, 2364, 107, 6445, 600, 564, 735, 1070, 529, 188205, 236762, 217003, 236789, 236751, 22799, 12384, 236764, 564, 236789, 236753, 1133, 531, 5330, 564, 735, 1418, 3161, 4087, 1304, 9941, 573, 1041, 44262, 236761, 28344, 611, 33205, 506, 4133, 1694, 529, 784, 12384, 1304, 3785, 6811, 1699, 506, 784, 236779, 78382, 236779, 2543, 236779, 31040, 5904, 236881, 564, 1461, 531, 1386, 2889, 1041, 7972, 4598, 53063, 563, 11087, 13611, 236888, 236743, 244722, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 11058, 109095, 827, 623, 236777, 16175, 531, 104323, 827, 623, 59591, 68216, 827, 623, 96413, 4210, 99232, 827, 623, 19765, 118807, 45313, 528, 614, 222955, 1254, 827, 623, 148725, 580, 5180, 24604, 827, 623, 5778, 236789, 236751, 26660, 1599, 827, 623, 11355, 3199, 236789, 236745, 1293, 2199, 1599, 827, 623, 236811, 13496, 11543, 827, 623, 11069, 2935, 7532, 236789, 19657, 827, 623, 5566, 528, 23753, 236789, 236751, 64599, 827, 623, 8993, 236789, 236745, 19865, 38591, 3060, 14276, 827, 623, 818, 19657, 1599, 26192, 3353, 2199, 5180, 28543, 827, 623, 236776, 8137, 236764, 562, 5762, 3352, 236764, 1452, 4298, 139408, 827, 623, 59591, 622, 172655, 236789, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 919, 13611, 1694, 529, 188205, 236762, 217003, 236858, 236751, 12384, 699, 506, 5904, 236858, 236751, 6524, 3072, 236764, 26614, 1800, 25282, 236787, 108, 1018, 236791, 2139, 236762, 217003, 236858, 236751, 26158, 42263, 5167, 568, 2543, 5904, 1262, 1473, 1018, 138, 107, 236770, 236761, 5213, 109095, 1018, 568, 236770, 236819, 236825, 236770, 236768, 138, 107, 236778, 236761, 5213, 236777, 16175, 531, 104323, 1018, 568, 236770, 236819, 236825, 236770, 236768, 138, 107, 236800, 236761, 5213, 59591, 68216, 1018, 568, 236770, 236819, 236825, 236800, 236768, 138, 107, 236812, 236761, 5213, 5778, 236858, 236751, 26660, 1599, 1018, 568, 236770, 236819, 236825, 236778, 236768, 138, 107, 236810, 236761, 5213, 30418, 495, 236858, 4210, 99232, 1018, 568, 236770, 236819, 236810, 236832, 236768, 138, 107, 236825, 236761, 5213, 19765, 118807, 45313, 528, 614, 222955, 1254, 1018, 138, 107, 236832, 236761, 5213, 148725, 580, 5180, 24604, 1018, 138, 107, 236828, 236761, 5213, 11355, 3199, 236858, 236745, 1293, 2199, 1599, 1018, 138, 107, 236819, 236761, 5213, 236811, 13496, 11543, 1018, 138, 107, 236770, 236771, 236761, 5213, 11069, 2935, 7532, 236858, 19657, 1018, 138, 107, 236770, 236770, 236761, 5213, 5566, 528, 23753, 236858, 236751, 64599, 1018, 138, 107, 236770, 236778, 236761, 5213, 8993, 236858, 236745, 19865, 38591, 3060, 14276, 1018, 138, 107, 236770, 236800, 236761, 5213, 818, 19657, 1599, 26192, 3353, 2199, 5180, 28543, 1018, 138, 107, 236770, 236812, 236761, 5213, 236776, 8137, 236764, 562, 5762, 3352, 236764, 1452, 4298, 139408, 1018, 138, 107, 236770, 236810, 236761, 5213, 59591, 622, 172655, 236858, 1018, 138, 108, 2094, 1694, 5132, 5213, 236770, 236810, 16710, 1018, 50317, 1116, 22799, 16737, 532, 19276, 19945, 236761, 1701, 10298, 60755, 236764, 5433, 600, 1070, 6436, 1149, 4576, 2536, 568, 236744, 236761, 236759, 1126, 225046, 531, 236743, 236770, 236771, 4852, 769, 1637, 611, 1202, 919, 16710, 653, 4889, 1133, 5588, 1518, 573, 784, 12384, 236764, 564, 740, 59638, 506, 3927, 653, 3600, 4071, 236772, 35380, 9908, 607, 4252, 34438, 1133, 2343, 24068, 653, 41801, 236888, 236743, 242560, 243336, 106, 107, 105, 2364, 107, 2021, 5330, 822, 44262, 563, 9995, 4133, 236764, 564, 236858, 859, 2864, 506, 5904, 531, 33205, 5213, 1048, 531, 236743, 236810, 236771, 12384, 1018, 672, 990, 236761, 4943, 14175, 4576, 2536, 684, 3678, 236764, 834, 5683, 506, 4576, 795, 1601, 12203, 1027, 9724, 16710, 236761, 3792, 236858, 236751, 12270, 506, 9239, 1694, 236888, 5213, 3932, 53121, 623, 10896, 506, 2165, 712, 236779, 78382, 236779, 2543, 236779, 31040, 236929, 5904, 1570, 607, 496, 5213, 17846, 529, 236743, 236810, 236771, 1018, 531, 33205, 1027, 4767, 188205, 236762, 217003, 12384, 6998, 506, 4068, 236743, 236770, 236810, 3016, 3847, 236761, 12713, 236772, 4256, 573, 87613, 532, 1694, 1027, 861, 16710, 1765, 1781, 1174, 1595, 236764, 692, 236858, 859, 9128, 3363, 993, 659, 919, 8401, 653, 32529, 236772, 5863, 12384, 531, 1138, 236888, 236743, 245147, 239794, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78382, 1083, 11058, 109095, 827, 623, 236777, 16175, 531, 104323, 827, 623, 59591, 68216, 827, 623, 5566, 528, 23753, 236789, 236751, 64599, 827, 623, 5778, 236789, 236751, 26660, 1599, 827, 623, 148725, 580, 5180, 24604, 827, 623, 19765, 118807, 45313, 528, 614, 222955, 1254, 827, 623, 11355, 3199, 236789, 236745, 1293, 2199, 1599, 827, 623, 8993, 236789, 236745, 19865, 38591, 3060, 14276, 827, 623, 236811, 13496, 11543, 827, 623, 9259, 236764, 111605, 827, 623, 236777, 236789, 560, 93456, 532, 564, 236789, 560, 42327, 827, 623, 236791, 2139, 236762, 217003, 3293, 2624, 236787, 32277, 68216, 965, 3026, 564, 4987, 14935, 3227, 1599, 827, 623, 236776, 44125, 2599, 236789, 236751, 90197, 568, 3524, 496, 7536, 2599, 236789, 236751, 7707, 22730, 623, 3048, 21757, 3060, 11543, 1599, 827, 623, 818, 10957, 1476, 18324, 827, 623, 11896, 5641, 529, 76217, 568, 4088, 3551, 8512, 47687, 64599, 22730, 623, 45362, 5179, 827, 623, 236777, 236789, 560, 26660, 5393, 11968, 23825, 827, 623, 11069, 2935, 7532, 236789, 19657, 827, 623, 236777, 236789, 859, 54455, 3551, 34588, 92522, 827, 623, 1882, 20229, 529, 68216, 827, 623, 4339, 11543, 827, 623, 236777, 11543, 1599, 1593, 22090, 1030, 233282, 827, 623, 70895, 2981, 827, 623, 196638, 495, 236789, 756, 14670, 827, 623, 236777, 236789, 560, 26660, 496, 156147, 529, 3551, 28543, 827, 623, 3048, 236789, 500, 27717, 497, 52561, 3060, 827, 623, 818, 11662, 30402, 827, 623, 6372, 236789, 236751, 3551, 4524, 827, 623, 236777, 236789, 560, 73463, 72476, 13677, 827, 623, 236777, 236789, 560, 26660, 496, 144093, 580, 1599, 827, 623, 236777, 236789, 236757, 9595, 568, 236777, 236789, 236757, 9595, 22730, 623, 236777, 236789, 236757, 5180, 23753, 82948, 827, 623, 2859, 564, 28344, 5912, 506, 4109, 827, 623, 902, 506, 59759, 827, 623, 1509, 219708, 236789, 236745, 3803, 11063, 21757, 10976, 4221, 26532, 236767, 59927, 827, 623, 18109, 123075, 11200, 123075, 827, 623, 11896, 573, 4224, 827, 623, 6481, 506, 2474, 714, 32231, 16175, 827, 623, 146281, 6718, 827, 623, 41950, 83369, 827, 623, 144154, 236764, 87915, 3060, 531, 30784, 827, 623, 32631, 34746, 35632, 827, 623, 43146, 7578, 2375, 506, 12488, 7578, 827, 623, 4906, 684, 3656, 827, 623, 16904, 1599, 568, 3133, 1599, 92522, 22730, 623, 236791, 2139, 236762, 217003, 236789, 236751, 90333, 103084, 827, 623, 23243, 22982, 16402, 827, 623, 5778, 236789, 236751, 26660, 1599, 14255, 623, 6725, 236779, 78382, 1083, 236743, 236812, 236819, 236764, 623, 31040, 1083, 623, 236791, 2139, 236762, 217003, 827, 623, 14210, 1083, 623, 82793, 1694, 28725, 236761, 236743, 236800, 236812, 861, 16710, 1765, 6998, 506, 4068, 236743, 236770, 236810, 236764, 2440, 8401, 603, 236772, 132092, 532, 723, 82476, 40626, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 5213, 66011, 1694, 529, 236743, 236812, 236819, 12384, 1018, 52236, 573, 188205, 236762, 217003, 236764, 2440, 5213, 236800, 236812, 861, 16710, 1018, 6998, 506, 4068, 236743, 236770, 236810, 236787, 138, 108, 1018, 4199, 4140, 2020, 568, 236800, 236812, 82678, 1473, 1018, 138, 107, 236770, 236761, 26352, 236764, 111605, 138, 107, 236778, 236761, 564, 236789, 560, 93456, 532, 564, 236789, 560, 42327, 138, 107, 236800, 236761, 188205, 236762, 217003, 3293, 2624, 236787, 32277, 68216, 965, 3026, 564, 4987, 14935, 3227, 1599, 138, 107, 236812, 236761, 562, 44125, 2599, 236789, 236751, 90197, 568, 3524, 496, 7536, 2599, 236789, 236751, 7707, 236768, 138, 107, 236810, 236761, 1599, 21757, 3060, 11543, 1599, 138, 107, 236825, 236761, 669, 10957, 1476, 18324, 138, 107, 236832, 236761, 5393, 5641, 529, 76217, 568, 4088, 3551, 8512, 47687, 64599, 236768, 138, 107, 236828, 236761, 19657, 5179, 138, 107, 236819, 236761, 564, 236789, 560, 26660, 5393, 11968, 23825, 138, 107, 236770, 236771, 236761, 5180, 2935, 7532, 236789, 19657, 138, 107, 236770, 236770, 236761, 564, 236789, 859, 54455, 3551, 34588, 92522, 138, 107, 236770, 236778, 236761, 79781, 529, 68216, 138, 107, 236770, 236800, 236761, 6288, 11543, 138, 107, 236770, 236812, 236761, 564, 11543, 1599, 1593, 22090, 1030, 233282, 138, 107, 236770, 236810, 236761, 47302, 2981, 138, 107, 236770, 236825, 236761, 77625, 495, 236789, 756, 14670, 138, 107, 236770, 236832, 236761, 564, 236789, 560, 26660, 496, 156147, 529, 3551, 28543, 138, 107, 236770, 236828, 236761, 1599, 236789, 500, 27717, 497, 52561, 3060, 138, 107, 236770, 236819, 236761, 669, 11662, 30402, 138, 107, 236778, 236771, 236761, 2981, 236789, 236751, 3551, 4524, 138, 107, 236778, 236770, 236761, 564, 236789, 560, 73463, 72476, 13677, 138, 107, 236778, 236778, 236761, 564, 236789, 560, 26660, 496, 144093, 580, 1599, 138, 107, 236778, 236800, 236761, 564, 236789, 236757, 9595, 568, 236777, 236789, 236757, 9595, 236768, 138, 107, 236778, 236812, 236761, 564, 236789, 236757, 5180, 23753, 82948, 138, 107, 236778, 236810, 236761, 1637, 564, 28344, 5912, 506, 4109, 138, 107, 236778, 236825, 236761, 799, 506, 59759, 138, 107, 236778, 236832, 236761, 1030, 219708, 236789, 236745, 3803, 11063, 21757, 10976, 4221, 26532, 236767, 59927, 138, 107, 236778, 236828, 236761, 60847, 616, 11200, 123075, 138, 107, 236778, 236819, 236761, 5393, 573, 4224, 138, 107, 236800, 236771, 236761, 3792, 506, 2474, 714, 32231, 16175, 138, 107, 236800, 236770, 236761, 141427, 6718, 138, 107, 236800, 236778, 236761, 27680, 83369, 138, 107, 236800, 236800, 236761, 61107, 236764, 87915, 3060, 531, 30784, 138, 107, 236800, 236812, 236761, 15895, 7578, 2375, 506, 12488, 7578, 138, 108, 1018, 17667, 12613, 53121, 236743, 236812, 236819, 12384, 568, 16603, 8401, 603, 236772, 132092, 532, 723, 82476, 40626, 769, 138, 108, 1018, 10282, 53121, 669, 5904, 8323, 236743, 236812, 236819, 16710, 5205, 529, 236743, 236810, 236771, 236764, 837, 1149, 10128, 506, 5058, 236858, 236751, 5783, 4576, 653, 506, 2587, 9489, 529, 1116, 23191, 528, 910, 7948, 236761, 1701, 10298, 60755, 236764, 611, 1451, 4071, 236772, 30449, 607, 4252, 48531, 1133, 506, 13826, 529, 9687, 653, 5125, 188205, 236762, 217003, 55222, 573, 723, 82476, 92815, 653, 3892, 40626, 236761, 5180, 7972, 4598, 44262, 563, 1492, 20068, 13611, 236888, 236743, 245147, 243536, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 496, 4456, 531, 32545, 1041, 30918, 1610, 1960, 236761, 5315, 236764, 2426, 768, 506, 15345, 623, 236863, 95159, 39151, 1294, 236775, 563, 2487, 236761, 1637, 625, 236789, 236751, 3523, 236764, 3600, 496, 2321, 24277, 1699, 7798, 30154, 573, 26395, 236761, 9920, 692, 6623, 528, 496, 1535, 15345, 236764, 564, 1202, 30136, 19205, 573, 600, 3432, 531, 30726, 3927, 47551, 236761, 4298, 236764, 564, 236789, 236753, 1133, 531, 11327, 4596, 30136, 12669, 528, 506, 1610, 236786, 21692, 3956, 531, 2016, 3004, 22888, 236761, 3792, 236858, 236751, 776, 672, 2918, 684, 2918, 236888, 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, 236775, 236863, 95159, 39151, 1294, 236775, 1018, 563, 2487, 236888, 236743, 245838, 138, 108, 9272, 2918, 236787, 3792, 236858, 236751, 9385, 30136, 19205, 573, 822, 3432, 531, 30726, 26395, 236761, 7323, 2847, 506, 10739, 611, 2731, 531, 1161, 568, 236744, 236761, 236759, 1126, 2165, 2574, 1411, 236804, 95159, 46955, 1294, 236761, 854, 59395, 9920, 611, 4024, 625, 236764, 564, 236858, 859, 33205, 3927, 5542, 236764, 8105, 1262, 236764, 532, 13700, 21280, 573, 7798, 30154, 236761, 138, 108, 6259, 600, 236764, 692, 236858, 859, 11327, 30136, 12669, 528, 506, 1610, 236786, 21692, 3956, 531, 2016, 3004, 22888, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1161, 5213, 2574, 1411, 236804, 95159, 46955, 1294, 236761, 854, 1018, 618, 1041, 10739, 236761, 3792, 236789, 236751, 1502, 607, 30136, 19205, 573, 672, 3432, 531, 30726, 26395, 236761, 9920, 692, 974, 1724, 2536, 236764, 1531, 236789, 236751, 11327, 30136, 12669, 528, 1800, 506, 5213, 661, 1018, 532, 5213, 21692, 1018, 13390, 531, 2016, 3004, 22888, 600, 11825, 1041, 30918, 981, 532, 5431, 1695, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 78493, 42999, 236779, 1005, 1083, 623, 12697, 30918, 1610, 827, 623, 157775, 236779, 5909, 1083, 623, 28602, 827, 623, 157775, 236779, 2662, 1083, 236743, 236812, 236810, 236764, 623, 2305, 236779, 20845, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 3991, 236779, 4000, 236779, 19330, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236778, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236828, 236761, 236832, 236810, 5237, 3714, 42999, 236779, 1005, 1083, 623, 14193, 30918, 1702, 827, 623, 157775, 236779, 5909, 1083, 623, 11480, 827, 623, 157775, 236779, 2662, 1083, 236743, 236825, 236828, 236764, 623, 2305, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 3991, 236779, 4000, 236779, 19330, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236800, 236761, 236778, 236764, 623, 2074, 1083, 236743, 236770, 236770, 236761, 236812, 5237, 3714, 42999, 236779, 1005, 1083, 623, 236757, 1762, 11710, 3019, 827, 623, 157775, 236779, 5909, 1083, 623, 28602, 827, 623, 157775, 236779, 2662, 1083, 236743, 236810, 236778, 236764, 623, 2305, 236779, 20845, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 3991, 236779, 4000, 236779, 19330, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236770, 236761, 236828, 236764, 623, 2074, 1083, 236743, 236832, 236761, 236778, 236810, 1807, 1604, 623, 14210, 1083, 623, 43595, 56856, 2263, 26395, 36787, 573, 30918, 1610, 3019, 236761, 41157, 3546, 22136, 30136, 14644, 236793, 3715, 2979, 10128, 74748, 27672, 8991, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 10618, 236779, 1201, 1083, 623, 236792, 1762, 4585, 57939, 827, 623, 41427, 1083, 11058, 236757, 1762, 11710, 827, 623, 14193, 1610, 827, 623, 22045, 54936, 1702, 827, 623, 131017, 6554, 1610, 827, 623, 20619, 236772, 7669, 24971, 152254, 3714, 10618, 236779, 1201, 1083, 623, 19118, 4585, 37747, 827, 623, 41427, 1083, 11058, 37939, 130235, 827, 623, 2153, 35490, 827, 623, 661, 24027, 827, 623, 236757, 1762, 41550, 827, 623, 30419, 1610, 26931, 152254, 3714, 10618, 236779, 1201, 1083, 623, 29557, 45004, 8381, 827, 623, 41427, 1083, 11058, 12697, 130235, 827, 623, 86766, 3549, 1610, 827, 623, 118124, 11710, 827, 623, 661, 66064, 827, 623, 14193, 126707, 152254, 3714, 10618, 236779, 1201, 1083, 623, 9175, 3316, 7803, 48993, 827, 623, 41427, 1083, 11058, 30466, 30918, 14062, 827, 623, 27854, 3549, 1610, 827, 623, 13066, 3549, 11803, 827, 623, 50771, 1610, 59491, 827, 623, 236800, 236796, 3549, 4518, 152254, 3714, 10618, 236779, 1201, 1083, 623, 50953, 532, 4585, 43645, 827, 623, 41427, 1083, 11058, 21125, 185063, 827, 623, 97748, 1762, 1610, 827, 623, 21692, 3432, 130235, 827, 623, 8819, 2913, 1610, 827, 623, 98644, 3549, 5984, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 26395, 75716, 573, 5213, 236863, 95159, 39151, 1294, 66515, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 123148, 140604, 573, 870, 236804, 95159, 46955, 1294, 236761, 854, 5457, 2574, 1411, 236804, 95159, 46955, 1294, 236761, 854, 62902, 138, 107, 8534, 30154, 607, 26395, 3435, 236787, 138, 107, 236770, 236761, 5213, 236775, 16493, 30918, 1610, 236775, 1018, 138, 107, 139, 236772, 12808, 26036, 236787, 236743, 236778, 236764, 236828, 236771, 236771, 236786, 11283, 138, 107, 139, 236772, 41157, 236787, 35202, 568, 236812, 236810, 236768, 138, 107, 139, 236772, 51936, 20214, 236787, 609, 236778, 236761, 236810, 236771, 236964, 236795, 236828, 236761, 236832, 236810, 138, 107, 139, 236829, 11355, 63508, 4819, 5542, 236764, 21037, 8105, 236761, 45891, 573, 21838, 7704, 236761, 138, 108, 236778, 236761, 5213, 236775, 236792, 1762, 11710, 3019, 236775, 1018, 138, 107, 139, 236772, 12808, 26036, 236787, 236743, 236800, 236764, 236812, 236771, 236771, 236786, 11283, 138, 107, 139, 236772, 41157, 236787, 35202, 568, 236810, 236778, 236768, 138, 107, 139, 236772, 51936, 20214, 236787, 609, 236770, 236761, 236828, 236771, 236964, 236795, 236832, 236761, 236778, 236810, 138, 107, 139, 236829, 11355, 63508, 27717, 2263, 26395, 3435, 573, 2509, 236772, 5140, 27490, 236761, 138, 108, 236800, 236761, 5213, 236775, 29557, 30918, 1702, 236775, 1018, 138, 107, 139, 236772, 12808, 26036, 236787, 236743, 236770, 236764, 236810, 236771, 236771, 236786, 11283, 138, 107, 139, 236772, 41157, 236787, 4819, 568, 236825, 236828, 236768, 138, 107, 139, 236772, 51936, 20214, 236787, 609, 236800, 236761, 236778, 236771, 236964, 236795, 236770, 236770, 236761, 236812, 236771, 138, 107, 139, 236829, 11355, 63508, 4819, 9703, 236764, 840, 74748, 531, 8345, 236761, 8890, 33481, 607, 1440, 236772, 845, 3004, 568, 236744, 236761, 236759, 1126, 623, 3910, 531, 7803, 496, 12090, 147635, 4248, 138, 108, 1018, 4396, 66515, 30235, 580, 5213, 236775, 12697, 30918, 1610, 236775, 1018, 532, 5213, 236775, 236757, 1762, 11710, 3019, 236775, 1018, 14877, 236761, 6890, 7200, 12714, 236764, 15771, 7704, 236764, 532, 18102, 16616, 531, 3328, 1239, 30154, 236761, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 123148, 51552, 573, 4585, 900, 22039, 137944, 1018, 138, 107, 226631, 12669, 531, 7611, 3004, 11381, 236787, 138, 108, 2595, 5213, 9175, 20467, 137944, 1018, 138, 107, 236772, 5213, 236792, 1762, 4585, 57939, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 22045, 54936, 1702, 236764, 15414, 6554, 1610, 236764, 2455, 236772, 7669, 24971, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 216774, 580, 30918, 8403, 653, 990, 236772, 165949, 10103, 529, 822, 1657, 236761, 138, 108, 236772, 5213, 19118, 4585, 37747, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 37939, 130235, 236764, 30918, 41550, 236764, 1610, 24027, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 129274, 67529, 607, 2263, 8904, 653, 5510, 573, 24027, 236761, 138, 108, 2595, 5213, 50953, 20467, 137944, 1018, 138, 107, 236772, 5213, 50953, 532, 4585, 43645, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 21125, 185063, 236764, 11321, 2913, 1610, 236764, 13718, 3549, 5984, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 118189, 1217, 822, 130235, 14051, 5431, 5699, 568, 236744, 236761, 236759, 1126, 623, 18385, 522, 22039, 63558, 607, 4585, 4248, 138, 108, 236772, 5213, 29557, 45004, 8381, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 118124, 11710, 236764, 31035, 1610, 236764, 1610, 66064, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 32300, 607, 34674, 531, 2729, 81754, 3019, 568, 661, 900, 5431, 769, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 4795, 34428, 66515, 8600, 496, 7200, 1868, 28307, 623, 12697, 30918, 1610, 236775, 568, 236744, 236761, 236759, 1126, 623, 3910, 531, 6881, 496, 13287, 147635, 573, 5180, 7449, 4248, 138, 107, 236778, 236761, 5213, 13149, 26395, 66515, 136381, 573, 4563, 236772, 5140, 30154, 568, 236744, 236761, 236759, 1126, 623, 236757, 1762, 11421, 528, 870, 11069, 4085, 182317, 138, 107, 236800, 236761, 5213, 73939, 118836, 66515, 6890, 506, 623, 21692, 900, 1610, 236775, 7275, 531, 3707, 607, 34674, 653, 11321, 18270, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 506, 30136, 1694, 3342, 653, 11327, 3530, 3004, 6549, 573, 1239, 22888, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 496, 4456, 531, 32545, 1041, 30918, 1610, 1960, 236761, 5315, 236764, 2426, 768, 506, 15345, 623, 236863, 95159, 39151, 1294, 236775, 563, 2487, 236761, 1637, 625, 236789, 236751, 3523, 236764, 3600, 496, 2321, 24277, 1699, 7798, 30154, 573, 26395, 236761, 9920, 692, 6623, 528, 496, 1535, 15345, 236764, 564, 1202, 30136, 19205, 573, 600, 3432, 531, 30726, 3927, 47551, 236761, 4298, 236764, 564, 236789, 236753, 1133, 531, 11327, 4596, 30136, 12669, 528, 506, 1610, 236786, 21692, 3956, 531, 2016, 3004, 22888, 236761, 3792, 236858, 236751, 776, 672, 2918, 684, 2918, 236888, 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, 236775, 236863, 95159, 39151, 1294, 236775, 1018, 563, 2487, 236888, 236743, 245838, 138, 108, 9272, 2918, 236787, 3792, 236858, 236751, 9385, 30136, 19205, 573, 822, 3432, 531, 30726, 26395, 236761, 7323, 2847, 506, 10739, 611, 2731, 531, 1161, 568, 236744, 236761, 236759, 1126, 2165, 2574, 1411, 236804, 95159, 46955, 1294, 236761, 854, 59395, 9920, 611, 4024, 625, 236764, 564, 236858, 859, 33205, 3927, 5542, 236764, 8105, 1262, 236764, 532, 13700, 21280, 573, 7798, 30154, 236761, 138, 108, 6259, 600, 236764, 692, 236858, 859, 11327, 30136, 12669, 528, 506, 1610, 236786, 21692, 3956, 531, 2016, 3004, 22888, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 1161, 5213, 2574, 1411, 236804, 95159, 46955, 1294, 236761, 854, 1018, 618, 1041, 10739, 236761, 3792, 236789, 236751, 1502, 607, 30136, 19205, 573, 672, 3432, 531, 30726, 26395, 236761, 9920, 692, 974, 1724, 2536, 236764, 1531, 236789, 236751, 11327, 30136, 12669, 528, 1800, 506, 5213, 661, 1018, 532, 5213, 21692, 1018, 13390, 531, 2016, 3004, 22888, 600, 11825, 1041, 30918, 981, 532, 5431, 1695, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 78493, 42999, 236779, 1005, 1083, 623, 12697, 30918, 1610, 827, 623, 157775, 236779, 5909, 1083, 623, 28602, 827, 623, 157775, 236779, 2662, 1083, 236743, 236812, 236810, 236764, 623, 2305, 236779, 20845, 1083, 236743, 236778, 236828, 236771, 236771, 236764, 623, 3991, 236779, 4000, 236779, 19330, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236778, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236828, 236761, 236832, 236810, 5237, 3714, 42999, 236779, 1005, 1083, 623, 14193, 30918, 1702, 827, 623, 157775, 236779, 5909, 1083, 623, 11480, 827, 623, 157775, 236779, 2662, 1083, 236743, 236825, 236828, 236764, 623, 2305, 236779, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 3991, 236779, 4000, 236779, 19330, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236800, 236761, 236778, 236764, 623, 2074, 1083, 236743, 236770, 236770, 236761, 236812, 5237, 3714, 42999, 236779, 1005, 1083, 623, 236757, 1762, 11710, 3019, 827, 623, 157775, 236779, 5909, 1083, 623, 28602, 827, 623, 157775, 236779, 2662, 1083, 236743, 236810, 236778, 236764, 623, 2305, 236779, 20845, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 3991, 236779, 4000, 236779, 19330, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236770, 236761, 236828, 236764, 623, 2074, 1083, 236743, 236832, 236761, 236778, 236810, 1807, 1604, 623, 14210, 1083, 623, 43595, 56856, 2263, 26395, 36787, 573, 30918, 1610, 3019, 236761, 41157, 3546, 22136, 30136, 14644, 236793, 3715, 2979, 10128, 74748, 27672, 8991, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 10618, 236779, 1201, 1083, 623, 236792, 1762, 4585, 57939, 827, 623, 41427, 1083, 11058, 236757, 1762, 11710, 827, 623, 14193, 1610, 827, 623, 22045, 54936, 1702, 827, 623, 131017, 6554, 1610, 827, 623, 20619, 236772, 7669, 24971, 152254, 3714, 10618, 236779, 1201, 1083, 623, 19118, 4585, 37747, 827, 623, 41427, 1083, 11058, 37939, 130235, 827, 623, 2153, 35490, 827, 623, 661, 24027, 827, 623, 236757, 1762, 41550, 827, 623, 30419, 1610, 26931, 152254, 3714, 10618, 236779, 1201, 1083, 623, 29557, 45004, 8381, 827, 623, 41427, 1083, 11058, 12697, 130235, 827, 623, 86766, 3549, 1610, 827, 623, 118124, 11710, 827, 623, 661, 66064, 827, 623, 14193, 126707, 152254, 3714, 10618, 236779, 1201, 1083, 623, 9175, 3316, 7803, 48993, 827, 623, 41427, 1083, 11058, 30466, 30918, 14062, 827, 623, 27854, 3549, 1610, 827, 623, 13066, 3549, 11803, 827, 623, 50771, 1610, 59491, 827, 623, 236800, 236796, 3549, 4518, 152254, 3714, 10618, 236779, 1201, 1083, 623, 50953, 532, 4585, 43645, 827, 623, 41427, 1083, 11058, 21125, 185063, 827, 623, 97748, 1762, 1610, 827, 623, 21692, 3432, 130235, 827, 623, 8819, 2913, 1610, 827, 623, 98644, 3549, 5984, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 26395, 75716, 573, 5213, 236863, 95159, 39151, 1294, 66515, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 123148, 140604, 573, 870, 236804, 95159, 46955, 1294, 236761, 854, 5457, 2574, 1411, 236804, 95159, 46955, 1294, 236761, 854, 62902, 138, 107, 8534, 30154, 607, 26395, 3435, 236787, 138, 107, 236770, 236761, 5213, 236775, 16493, 30918, 1610, 236775, 1018, 138, 107, 139, 236772, 12808, 26036, 236787, 236743, 236778, 236764, 236828, 236771, 236771, 236786, 11283, 138, 107, 139, 236772, 41157, 236787, 35202, 568, 236812, 236810, 236768, 138, 107, 139, 236772, 51936, 20214, 236787, 609, 236778, 236761, 236810, 236771, 236964, 236795, 236828, 236761, 236832, 236810, 138, 107, 139, 236829, 11355, 63508, 4819, 5542, 236764, 21037, 8105, 236761, 45891, 573, 21838, 7704, 236761, 138, 108, 236778, 236761, 5213, 236775, 236792, 1762, 11710, 3019, 236775, 1018, 138, 107, 139, 236772, 12808, 26036, 236787, 236743, 236800, 236764, 236812, 236771, 236771, 236786, 11283, 138, 107, 139, 236772, 41157, 236787, 35202, 568, 236810, 236778, 236768, 138, 107, 139, 236772, 51936, 20214, 236787, 609, 236770, 236761, 236828, 236771, 236964, 236795, 236832, 236761, 236778, 236810, 138, 107, 139, 236829, 11355, 63508, 27717, 2263, 26395, 3435, 573, 2509, 236772, 5140, 27490, 236761, 138, 108, 236800, 236761, 5213, 236775, 29557, 30918, 1702, 236775, 1018, 138, 107, 139, 236772, 12808, 26036, 236787, 236743, 236770, 236764, 236810, 236771, 236771, 236786, 11283, 138, 107, 139, 236772, 41157, 236787, 4819, 568, 236825, 236828, 236768, 138, 107, 139, 236772, 51936, 20214, 236787, 609, 236800, 236761, 236778, 236771, 236964, 236795, 236770, 236770, 236761, 236812, 236771, 138, 107, 139, 236829, 11355, 63508, 4819, 9703, 236764, 840, 74748, 531, 8345, 236761, 8890, 33481, 607, 1440, 236772, 845, 3004, 568, 236744, 236761, 236759, 1126, 623, 3910, 531, 7803, 496, 12090, 147635, 4248, 138, 108, 1018, 4396, 66515, 30235, 580, 5213, 236775, 12697, 30918, 1610, 236775, 1018, 532, 5213, 236775, 236757, 1762, 11710, 3019, 236775, 1018, 14877, 236761, 6890, 7200, 12714, 236764, 15771, 7704, 236764, 532, 18102, 16616, 531, 3328, 1239, 30154, 236761, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 123148, 51552, 573, 4585, 900, 22039, 137944, 1018, 138, 107, 226631, 12669, 531, 7611, 3004, 11381, 236787, 138, 108, 2595, 5213, 9175, 20467, 137944, 1018, 138, 107, 236772, 5213, 236792, 1762, 4585, 57939, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 22045, 54936, 1702, 236764, 15414, 6554, 1610, 236764, 2455, 236772, 7669, 24971, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 216774, 580, 30918, 8403, 653, 990, 236772, 165949, 10103, 529, 822, 1657, 236761, 138, 108, 236772, 5213, 19118, 4585, 37747, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 37939, 130235, 236764, 30918, 41550, 236764, 1610, 24027, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 129274, 67529, 607, 2263, 8904, 653, 5510, 573, 24027, 236761, 138, 108, 2595, 5213, 50953, 20467, 137944, 1018, 138, 107, 236772, 5213, 50953, 532, 4585, 43645, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 21125, 185063, 236764, 11321, 2913, 1610, 236764, 13718, 3549, 5984, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 118189, 1217, 822, 130235, 14051, 5431, 5699, 568, 236744, 236761, 236759, 1126, 623, 18385, 522, 22039, 63558, 607, 4585, 4248, 138, 108, 236772, 5213, 29557, 45004, 8381, 66515, 138, 107, 138, 236772, 97927, 236787, 808, 118124, 11710, 236764, 31035, 1610, 236764, 1610, 66064, 236829, 138, 107, 138, 236772, 16748, 64679, 236787, 32300, 607, 34674, 531, 2729, 81754, 3019, 568, 661, 900, 5431, 769, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 4795, 34428, 66515, 8600, 496, 7200, 1868, 28307, 623, 12697, 30918, 1610, 236775, 568, 236744, 236761, 236759, 1126, 623, 3910, 531, 6881, 496, 13287, 147635, 573, 5180, 7449, 4248, 138, 107, 236778, 236761, 5213, 13149, 26395, 66515, 136381, 573, 4563, 236772, 5140, 30154, 568, 236744, 236761, 236759, 1126, 623, 236757, 1762, 11421, 528, 870, 11069, 4085, 182317, 138, 107, 236800, 236761, 5213, 73939, 118836, 66515, 6890, 506, 623, 21692, 900, 1610, 236775, 7275, 531, 3707, 607, 34674, 653, 11321, 18270, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 506, 30136, 1694, 3342, 653, 11327, 3530, 3004, 6549, 573, 1239, 22888, 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, 531, 5039, 614, 4553, 531, 1041, 13763, 53276, 3415, 1003, 5395, 872, 16922, 657, 506, 842, 236761, 54200, 7940, 236761, 4923, 4553, 563, 41604, 236761, 37540, 236940, 8358, 236761, 854, 236761, 5315, 236764, 2426, 768, 600, 4553, 6518, 563, 4341, 1699, 506, 2426, 236779, 6774, 236779, 5939, 5904, 236761, 1637, 625, 563, 236764, 1299, 5039, 506, 4553, 607, 506, 3660, 623, 102822, 34960, 70977, 236775, 532, 506, 2742, 236787, 623, 17531, 3415, 236764, 506, 23068, 14415, 573, 9975, 57477, 5724, 1535, 16922, 237028, 42090, 531, 2874, 657, 506, 8858, 657, 236743, 236828, 8151, 236881, 7502, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 62785, 236761, 37540, 236940, 8358, 236761, 854, 827, 623, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 236779, 547, 1083, 623, 6774, 236779, 236832, 236828, 236819, 236771, 236770, 236778, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 623, 62785, 236761, 37540, 236940, 8358, 236761, 854, 25938, 106, 107, 105, 4368, 107, 818, 4553, 815, 1010, 10428, 3265, 531, 41604, 236761, 37540, 236940, 8358, 236761, 854, 607, 506, 3660, 623, 102822, 34960, 70977, 3056, 669, 3618, 691, 12063, 618, 15633, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 5039, 614, 4553, 531, 1041, 13763, 53276, 3415, 1003, 5395, 872, 16922, 657, 506, 842, 236761, 54200, 7940, 236761, 4923, 4553, 563, 41604, 236761, 37540, 236940, 8358, 236761, 854, 236761, 5315, 236764, 2426, 768, 600, 4553, 6518, 563, 4341, 1699, 506, 2426, 236779, 6774, 236779, 5939, 5904, 236761, 1637, 625, 563, 236764, 1299, 5039, 506, 4553, 607, 506, 3660, 623, 102822, 34960, 70977, 236775, 532, 506, 2742, 236787, 623, 17531, 3415, 236764, 506, 23068, 14415, 573, 9975, 57477, 5724, 1535, 16922, 237028, 42090, 531, 2874, 657, 506, 8858, 657, 236743, 236828, 8151, 236881, 7502, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 62785, 236761, 37540, 236940, 8358, 236761, 854, 827, 623, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 236779, 547, 1083, 623, 6774, 236779, 236832, 236828, 236819, 236771, 236770, 236778, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 623, 62785, 236761, 37540, 236940, 8358, 236761, 854, 25938, 106, 107, 105, 4368, 107, 818, 4553, 815, 1010, 10428, 3265, 531, 41604, 236761, 37540, 236940, 8358, 236761, 854, 607, 506, 3660, 623, 102822, 34960, 70977, 3056, 669, 3618, 691, 12063, 618, 15633, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 3342, 10686, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 34048, 236764, 506, 1171, 236772, 1257, 26409, 657, 506, 2263, 23170, 528, 18364, 26908, 236761, 564, 236789, 236757, 6995, 496, 8268, 2197, 91624, 2148, 8224, 573, 1023, 2299, 237028, 115322, 236789, 236751, 12717, 31412, 101380, 532, 129206, 236764, 1164, 1133, 564, 776, 607, 1041, 17810, 3789, 236761, 564, 1461, 531, 1868, 625, 580, 10365, 531, 974, 18361, 699, 506, 12960, 531, 2229, 236764, 840, 564, 236789, 236757, 711, 2889, 837, 118252, 981, 1791, 2101, 1590, 236761, 28344, 611, 1601, 786, 1586, 506, 808, 3374, 4913, 2263, 2780, 68324, 236829, 528, 18364, 26908, 236881, 9187, 684, 16329, 506, 68324, 13659, 236799, 21433, 859, 25174, 236775, 607, 506, 2165, 235707, 236779, 10494, 236929, 5904, 236761, 1637, 600, 7623, 5743, 2536, 236764, 2056, 13659, 112421, 25174, 236775, 5205, 532, 1299, 13952, 1343, 506, 100264, 531, 1586, 1027, 12714, 600, 4928, 623, 236799, 21433, 859, 236775, 653, 623, 14015, 236775, 528, 506, 6492, 236761, 9920, 611, 236789, 560, 2506, 1724, 236764, 3442, 786, 506, 1903, 236743, 236800, 118252, 1456, 528, 506, 2263, 12714, 834, 564, 740, 1161, 1091, 573, 1023, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 236799, 21433, 859, 25174, 827, 623, 10494, 1083, 78493, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 28180, 236770, 236778, 236800, 827, 623, 21151, 1083, 623, 11896, 1603, 1041, 9639, 17810, 3789, 573, 506, 18364, 26908, 2197, 91624, 236888, 997, 236799, 21433, 859, 25174, 997, 25174, 703, 827, 623, 56652, 1083, 236743, 236770, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236771, 1263, 3714, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 2063, 236812, 236810, 236825, 827, 623, 21151, 1083, 623, 818, 18364, 26908, 53706, 12726, 563, 506, 1791, 236888, 1593, 1551, 2263, 2780, 29049, 236761, 997, 236799, 21433, 859, 25174, 997, 112421, 236788, 2139, 827, 623, 56652, 1083, 236743, 236778, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236810, 1263, 3714, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 47986, 236832, 236828, 236819, 827, 623, 21151, 1083, 623, 112332, 101380, 699, 1023, 18364, 26908, 8268, 2299, 236888, 997, 236799, 21433, 859, 25174, 997, 14015, 17625, 827, 623, 56652, 1083, 236743, 236770, 236828, 236810, 236764, 623, 26329, 1083, 236743, 236778, 236828, 165075, 106, 107, 105, 4368, 107, 818, 1903, 236743, 236800, 118252, 1456, 528, 2263, 12714, 4596, 531, 18364, 26908, 2780, 659, 236787, 108, 236770, 236761, 5213, 236865, 236799, 21433, 859, 25174, 1018, 568, 3456, 528, 784, 236743, 236800, 12714, 236768, 138, 107, 236778, 236761, 5213, 236865, 14015, 17625, 1018, 568, 3456, 528, 236743, 236770, 1868, 236764, 42298, 623, 14015, 236775, 528, 44358, 236768, 138, 107, 236800, 236761, 5213, 236865, 112421, 236788, 2139, 1018, 568, 3456, 528, 236743, 236770, 1868, 236764, 7798, 573, 14942, 2433, 236768, 138, 108, 9208, 118252, 659, 22074, 1456, 684, 18364, 26908, 10465, 573, 2263, 2780, 3004, 236761, 1701, 822, 8268, 2197, 91624, 236764, 56856, 5213, 236865, 236799, 21433, 859, 25174, 1018, 618, 822, 5905, 7853, 236764, 1299, 1138, 5213, 236865, 14015, 17625, 1018, 573, 25898, 7693, 1883, 5370, 532, 5213, 236865, 112421, 236788, 2139, 1018, 531, 11752, 1131, 14942, 3399, 15154, 236761, 39874, 19920, 16616, 1133, 997, 25174, 703, 236764, 618, 901, 6220, 2263, 47766, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 34048, 236764, 506, 1171, 236772, 1257, 26409, 657, 506, 2263, 23170, 528, 18364, 26908, 236761, 564, 236789, 236757, 6995, 496, 8268, 2197, 91624, 2148, 8224, 573, 1023, 2299, 237028, 115322, 236789, 236751, 12717, 31412, 101380, 532, 129206, 236764, 1164, 1133, 564, 776, 607, 1041, 17810, 3789, 236761, 564, 1461, 531, 1868, 625, 580, 10365, 531, 974, 18361, 699, 506, 12960, 531, 2229, 236764, 840, 564, 236789, 236757, 711, 2889, 837, 118252, 981, 1791, 2101, 1590, 236761, 28344, 611, 1601, 786, 1586, 506, 808, 3374, 4913, 2263, 2780, 68324, 236829, 528, 18364, 26908, 236881, 9187, 684, 16329, 506, 68324, 13659, 236799, 21433, 859, 25174, 236775, 607, 506, 2165, 235707, 236779, 10494, 236929, 5904, 236761, 1637, 600, 7623, 5743, 2536, 236764, 2056, 13659, 112421, 25174, 236775, 5205, 532, 1299, 13952, 1343, 506, 100264, 531, 1586, 1027, 12714, 600, 4928, 623, 236799, 21433, 859, 236775, 653, 623, 14015, 236775, 528, 506, 6492, 236761, 9920, 611, 236789, 560, 2506, 1724, 236764, 3442, 786, 506, 1903, 236743, 236800, 118252, 1456, 528, 506, 2263, 12714, 834, 564, 740, 1161, 1091, 573, 1023, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 236799, 21433, 859, 25174, 827, 623, 10494, 1083, 78493, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 28180, 236770, 236778, 236800, 827, 623, 21151, 1083, 623, 11896, 1603, 1041, 9639, 17810, 3789, 573, 506, 18364, 26908, 2197, 91624, 236888, 997, 236799, 21433, 859, 25174, 997, 25174, 703, 827, 623, 56652, 1083, 236743, 236770, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236771, 1263, 3714, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 2063, 236812, 236810, 236825, 827, 623, 21151, 1083, 623, 818, 18364, 26908, 53706, 12726, 563, 506, 1791, 236888, 1593, 1551, 2263, 2780, 29049, 236761, 997, 236799, 21433, 859, 25174, 997, 112421, 236788, 2139, 827, 623, 56652, 1083, 236743, 236778, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236810, 1263, 3714, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 47986, 236832, 236828, 236819, 827, 623, 21151, 1083, 623, 112332, 101380, 699, 1023, 18364, 26908, 8268, 2299, 236888, 997, 236799, 21433, 859, 25174, 997, 14015, 17625, 827, 623, 56652, 1083, 236743, 236770, 236828, 236810, 236764, 623, 26329, 1083, 236743, 236778, 236828, 165075, 106, 107, 105, 4368, 107, 818, 1903, 236743, 236800, 118252, 1456, 528, 2263, 12714, 4596, 531, 18364, 26908, 2780, 659, 236787, 108, 236770, 236761, 5213, 236865, 236799, 21433, 859, 25174, 1018, 568, 3456, 528, 784, 236743, 236800, 12714, 236768, 138, 107, 236778, 236761, 5213, 236865, 14015, 17625, 1018, 568, 3456, 528, 236743, 236770, 1868, 236764, 42298, 623, 14015, 236775, 528, 44358, 236768, 138, 107, 236800, 236761, 5213, 236865, 112421, 236788, 2139, 1018, 568, 3456, 528, 236743, 236770, 1868, 236764, 7798, 573, 14942, 2433, 236768, 138, 108, 9208, 118252, 659, 22074, 1456, 684, 18364, 26908, 10465, 573, 2263, 2780, 3004, 236761, 1701, 822, 8268, 2197, 91624, 236764, 56856, 5213, 236865, 236799, 21433, 859, 25174, 1018, 618, 822, 5905, 7853, 236764, 1299, 1138, 5213, 236865, 14015, 17625, 1018, 573, 25898, 7693, 1883, 5370, 532, 5213, 236865, 112421, 236788, 2139, 1018, 531, 11752, 1131, 14942, 3399, 15154, 236761, 39874, 19920, 16616, 1133, 997, 25174, 703, 236764, 618, 901, 6220, 2263, 47766, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 35447, 1041, 27893, 7200, 4009, 236761, 564, 236789, 560, 2506, 496, 11709, 528, 506, 4009, 9427, 26777, 623, 52617, 173465, 42055, 236775, 607, 86823, 13571, 236764, 840, 564, 1461, 531, 1586, 784, 506, 1159, 87787, 7906, 623, 1745, 1414, 236775, 653, 623, 165708, 28871, 236775, 528, 910, 5618, 236761, 2085, 659, 1133, 236743, 236778, 236771, 236771, 39797, 236764, 834, 564, 1202, 2536, 8564, 7413, 528, 49145, 529, 236743, 236810, 236771, 236761, 3199, 611, 3927, 506, 4009, 9427, 39797, 573, 1724, 30154, 532, 6060, 506, 73694, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 11058, 8824, 1414, 42055, 11251, 827, 623, 112410, 28871, 105745, 142930, 827, 623, 52617, 173465, 155433, 32590, 827, 623, 8824, 1414, 39412, 132717, 827, 623, 112410, 28871, 13988, 37521, 236751, 827, 623, 8824, 1414, 36759, 86846, 827, 623, 112410, 28871, 23855, 182917, 827, 623, 8824, 1414, 176713, 121903, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236832, 236828, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 4000, 236779, 2086, 1083, 236743, 236810, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 17857, 236779, 547, 1083, 623, 236811, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 112410, 28871, 23855, 39247, 827, 623, 2337, 1083, 9560, 52617, 173465, 42055, 236786, 112410, 28871, 23855, 39247, 23179, 3714, 17857, 236779, 547, 1083, 623, 236811, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 112410, 28871, 105745, 142930, 827, 623, 2337, 1083, 9560, 52617, 173465, 42055, 236786, 112410, 28871, 105745, 142930, 23179, 3714, 17857, 236779, 547, 1083, 623, 236811, 236771, 236832, 236828, 827, 623, 1201, 1083, 623, 112410, 28871, 39412, 34854, 34122, 827, 623, 2337, 1083, 9560, 52617, 173465, 42055, 236786, 112410, 28871, 39412, 34854, 34122, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 34516, 506, 4009, 9427, 573, 39797, 7906, 623, 1745, 1414, 236775, 532, 623, 165708, 28871, 236775, 528, 910, 5618, 236761, 5715, 659, 506, 2536, 236787, 108, 1018, 8824, 1414, 236772, 10619, 39797, 568, 236800, 2558, 1473, 1018, 107, 236772, 155433, 42055, 11251, 107, 236772, 186956, 155433, 32590, 107, 236772, 155433, 36759, 86846, 108, 1018, 112410, 28871, 236772, 10619, 39797, 568, 236800, 2558, 1473, 1018, 107, 236772, 39790, 28871, 23855, 39247, 107, 236772, 39790, 28871, 105745, 142930, 107, 236772, 39790, 28871, 39412, 34854, 34122, 108, 8409, 564, 9225, 236789, 236745, 5510, 506, 623, 52617, 173465, 42055, 236775, 11709, 5957, 568, 1580, 20478, 5889, 236789, 236745, 2487, 528, 506, 11709, 3927, 9299, 779, 564, 236789, 560, 10428, 8564, 7413, 506, 2536, 236761, 7714, 3104, 6097, 236743, 236810, 236771, 4852, 684, 3678, 236764, 532, 611, 740, 21332, 1343, 4767, 7704, 768, 919, 12853, 2849, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 7704, 653, 59638, 506, 3927, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 35447, 1041, 27893, 7200, 4009, 236761, 564, 236789, 560, 2506, 496, 11709, 528, 506, 4009, 9427, 26777, 623, 52617, 173465, 42055, 236775, 607, 86823, 13571, 236764, 840, 564, 1461, 531, 1586, 784, 506, 1159, 87787, 7906, 623, 1745, 1414, 236775, 653, 623, 165708, 28871, 236775, 528, 910, 5618, 236761, 2085, 659, 1133, 236743, 236778, 236771, 236771, 39797, 236764, 834, 564, 1202, 2536, 8564, 7413, 528, 49145, 529, 236743, 236810, 236771, 236761, 3199, 611, 3927, 506, 4009, 9427, 39797, 573, 1724, 30154, 532, 6060, 506, 73694, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 11058, 8824, 1414, 42055, 11251, 827, 623, 112410, 28871, 105745, 142930, 827, 623, 52617, 173465, 155433, 32590, 827, 623, 8824, 1414, 39412, 132717, 827, 623, 112410, 28871, 13988, 37521, 236751, 827, 623, 8824, 1414, 36759, 86846, 827, 623, 112410, 28871, 23855, 182917, 827, 623, 8824, 1414, 176713, 121903, 14255, 623, 6725, 236779, 25541, 1083, 236743, 236832, 236828, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 4000, 236779, 2086, 1083, 236743, 236810, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 17857, 236779, 547, 1083, 623, 236811, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 112410, 28871, 23855, 39247, 827, 623, 2337, 1083, 9560, 52617, 173465, 42055, 236786, 112410, 28871, 23855, 39247, 23179, 3714, 17857, 236779, 547, 1083, 623, 236811, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 112410, 28871, 105745, 142930, 827, 623, 2337, 1083, 9560, 52617, 173465, 42055, 236786, 112410, 28871, 105745, 142930, 23179, 3714, 17857, 236779, 547, 1083, 623, 236811, 236771, 236832, 236828, 827, 623, 1201, 1083, 623, 112410, 28871, 39412, 34854, 34122, 827, 623, 2337, 1083, 9560, 52617, 173465, 42055, 236786, 112410, 28871, 39412, 34854, 34122, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 34516, 506, 4009, 9427, 573, 39797, 7906, 623, 1745, 1414, 236775, 532, 623, 165708, 28871, 236775, 528, 910, 5618, 236761, 5715, 659, 506, 2536, 236787, 108, 1018, 8824, 1414, 236772, 10619, 39797, 568, 236800, 2558, 1473, 1018, 107, 236772, 155433, 42055, 11251, 107, 236772, 186956, 155433, 32590, 107, 236772, 155433, 36759, 86846, 108, 1018, 112410, 28871, 236772, 10619, 39797, 568, 236800, 2558, 1473, 1018, 107, 236772, 39790, 28871, 23855, 39247, 107, 236772, 39790, 28871, 105745, 142930, 107, 236772, 39790, 28871, 39412, 34854, 34122, 108, 8409, 564, 9225, 236789, 236745, 5510, 506, 623, 52617, 173465, 42055, 236775, 11709, 5957, 568, 1580, 20478, 5889, 236789, 236745, 2487, 528, 506, 11709, 3927, 9299, 779, 564, 236789, 560, 10428, 8564, 7413, 506, 2536, 236761, 7714, 3104, 6097, 236743, 236810, 236771, 4852, 684, 3678, 236764, 532, 611, 740, 21332, 1343, 4767, 7704, 768, 919, 12853, 2849, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 7704, 653, 59638, 506, 3927, 3342, 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, 42215, 236764, 496, 236743, 236810, 236810, 236772, 3704, 236772, 947, 26004, 528, 7106, 1254, 11877, 1015, 1270, 8097, 532, 66882, 14578, 236761, 564, 1202, 2708, 236772, 62580, 8774, 15136, 531, 4883, 19142, 573, 506, 7642, 2180, 24285, 506, 15346, 237028, 145300, 573, 5026, 1041, 3911, 607, 496, 13181, 9737, 10368, 236761, 3199, 611, 3600, 496, 2321, 36443, 531, 1041, 15668, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 1201, 1083, 623, 97422, 2897, 18321, 20439, 827, 623, 7777, 1083, 623, 105677, 519, 5597, 5428, 580, 506, 6784, 531, 4006, 7002, 532, 7600, 25028, 236764, 4030, 236743, 236778, 236771, 4310, 531, 4133, 827, 623, 27521, 1083, 623, 42362, 236764, 236743, 236832, 8151, 1680, 981, 23179, 3714, 1201, 1083, 623, 138173, 607, 7768, 13944, 616, 827, 623, 7777, 1083, 623, 26834, 236772, 62580, 69488, 528, 506, 12461, 1699, 1813, 9378, 43910, 531, 6439, 7600, 5013, 1651, 3788, 52201, 827, 623, 27521, 1083, 623, 236800, 2782, 16789, 568, 236792, 236786, 236824, 236786, 236811, 1308, 60741, 16291, 1263, 3714, 1201, 1083, 623, 165887, 15570, 230707, 827, 623, 7777, 1083, 623, 13973, 236772, 3063, 19142, 15668, 1699, 24282, 16573, 1913, 14016, 19005, 531, 4883, 2644, 529, 5776, 827, 623, 27521, 1083, 623, 236810, 2782, 16789, 568, 236770, 236810, 4310, 1913, 8633, 19005, 16291, 104960, 623, 14210, 1083, 623, 3243, 20958, 1660, 11893, 5842, 532, 740, 577, 3028, 657, 2033, 653, 580, 506, 7642, 236761, 39874, 1494, 236772, 62580, 18560, 1913, 9737, 24637, 573, 12567, 10941, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 822, 36443, 2708, 236772, 62580, 8774, 15136, 236764, 5402, 531, 14125, 822, 60741, 236764, 13763, 236764, 532, 9737, 10368, 236787, 108, 236770, 236761, 5213, 97422, 2897, 18321, 20439, 1018, 138, 107, 139, 236829, 105677, 519, 5597, 5428, 580, 506, 6784, 568, 236778, 236771, 4310, 236764, 236743, 236832, 8151, 1680, 981, 12016, 138, 107, 139, 238183, 188648, 7002, 573, 60741, 532, 17707, 46310, 699, 1440, 24637, 236761, 108, 236778, 236761, 5213, 138173, 607, 7768, 13944, 616, 1018, 138, 107, 139, 236829, 236800, 236781, 16789, 568, 236792, 236786, 236824, 236786, 236811, 1308, 60741, 12016, 138, 107, 139, 238183, 169612, 52201, 528, 506, 12461, 607, 5743, 7600, 5013, 237028, 50936, 573, 822, 7642, 15668, 236761, 108, 236800, 236761, 5213, 165887, 15570, 230707, 1018, 138, 107, 139, 236829, 236810, 236781, 16789, 568, 236770, 236810, 4310, 1913, 14016, 19005, 12016, 138, 107, 139, 238183, 71808, 236764, 951, 5842, 4354, 237028, 3241, 60328, 19142, 1913, 13181, 9737, 2668, 236761, 108, 236829, 3243, 48843, 1660, 11893, 13290, 532, 740, 577, 3028, 657, 2033, 653, 580, 506, 7642, 236761, 22282, 77372, 1239, 1680, 236786, 9900, 981, 531, 4196, 14887, 573, 822, 8126, 7642, 5085, 236888, 236829, 236743, 244245, 106, 107, 105, 2364, 107, 8574, 611, 9279, 506, 29304, 30494, 573, 236743, 236778, 236771, 4310, 529, 11877, 2897, 18321, 20439, 657, 1041, 3825, 529, 236743, 236770, 236828, 236771, 16931, 236881, 564, 1461, 531, 4087, 1217, 672, 19009, 1131, 1041, 6376, 2778, 3548, 1651, 41346, 23538, 24637, 532, 60741, 14845, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13692, 1083, 623, 97422, 2897, 18321, 20439, 827, 623, 19001, 236779, 38466, 1083, 236743, 236778, 236771, 236764, 623, 125645, 236779, 211963, 1083, 236743, 236828, 236832, 236783, 106, 107, 105, 4368, 107, 3048, 236789, 859, 8141, 8296, 5213, 236828, 236832, 29304, 1018, 1913, 236743, 236778, 236771, 4310, 529, 11877, 2897, 18321, 20439, 568, 502, 236743, 236770, 236828, 236771, 16931, 769, 1174, 14617, 15668, 19009, 58912, 1131, 822, 5597, 10368, 1680, 981, 237028, 4662, 11893, 990, 1651, 11584, 822, 19142, 7675, 2180, 119166, 822, 9737, 24637, 236761, 138, 108, 2542, 4403, 236787, 138, 107, 236772, 5213, 236828, 236832, 29304, 1018, 578, 2578, 236770, 236786, 236770, 236771, 594, 529, 496, 10944, 236743, 236828, 236771, 236771, 236772, 236770, 236764, 236771, 236771, 236771, 63404, 14016, 2541, 236761, 138, 107, 236772, 808, 54133, 573, 822, 15668, 63508, 1174, 47152, 2778, 2180, 82719, 10941, 990, 573, 60741, 653, 6213, 2065, 236761, 138, 108, 29452, 625, 607, 822, 5597, 7681, 580, 506, 7642, 573, 496, 78741, 236764, 10792, 4266, 1502, 531, 822, 1719, 236888, 236743, 169986, 106, 107, 105, 2364, 107, 48727, 625, 237028, 236828, 236832, 29304, 573, 236743, 236778, 236771, 4310, 529, 11877, 2897, 18321, 20439, 657, 236743, 236770, 236828, 236771, 16931, 236761, 4224, 236764, 2338, 564, 236858, 236757, 135382, 236743, 236770, 236778, 236772, 13807, 24637, 657, 506, 6634, 532, 60741, 684, 38306, 236764, 564, 236858, 236753, 1133, 531, 4187, 672, 1131, 1041, 808, 20055, 236829, 6376, 34824, 236761, 3199, 611, 9279, 1217, 672, 19009, 607, 1041, 10944, 5597, 236787, 138, 107, 236772, 236743, 236825, 236787, 236800, 236771, 8151, 236787, 50969, 872, 236764, 7681, 580, 506, 7642, 568, 236800, 236771, 236771, 1421, 236768, 138, 107, 236772, 236743, 236832, 236787, 236771, 236771, 8151, 236787, 18321, 20439, 568, 236828, 236832, 1421, 30494, 236768, 138, 107, 236772, 236743, 236828, 236787, 236771, 236771, 8151, 236787, 41364, 8633, 9857, 138, 108, 236777, 1202, 531, 1281, 768, 506, 2657, 2778, 7002, 568, 46116, 22521, 12174, 18321, 20439, 8141, 236768, 6895, 786, 85132, 573, 6213, 2065, 2180, 67454, 3209, 236761, 5393, 506, 4945, 236764, 951, 127430, 237028, 3307, 10368, 236858, 236751, 11119, 236761, 106, 107, 105, 4368, 107, 8233, 2778, 7002, 236787, 138, 107, 236800, 236771, 236771, 568, 46116, 236768, 753, 236743, 236828, 236832, 568, 79422, 20439, 236768, 578, 5213, 236778, 236770, 236800, 29304, 1018, 138, 108, 236829, 3771, 127430, 236764, 618, 15633, 9603, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 42215, 236764, 496, 236743, 236810, 236810, 236772, 3704, 236772, 947, 26004, 528, 7106, 1254, 11877, 1015, 1270, 8097, 532, 66882, 14578, 236761, 564, 1202, 2708, 236772, 62580, 8774, 15136, 531, 4883, 19142, 573, 506, 7642, 2180, 24285, 506, 15346, 237028, 145300, 573, 5026, 1041, 3911, 607, 496, 13181, 9737, 10368, 236761, 3199, 611, 3600, 496, 2321, 36443, 531, 1041, 15668, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 1201, 1083, 623, 97422, 2897, 18321, 20439, 827, 623, 7777, 1083, 623, 105677, 519, 5597, 5428, 580, 506, 6784, 531, 4006, 7002, 532, 7600, 25028, 236764, 4030, 236743, 236778, 236771, 4310, 531, 4133, 827, 623, 27521, 1083, 623, 42362, 236764, 236743, 236832, 8151, 1680, 981, 23179, 3714, 1201, 1083, 623, 138173, 607, 7768, 13944, 616, 827, 623, 7777, 1083, 623, 26834, 236772, 62580, 69488, 528, 506, 12461, 1699, 1813, 9378, 43910, 531, 6439, 7600, 5013, 1651, 3788, 52201, 827, 623, 27521, 1083, 623, 236800, 2782, 16789, 568, 236792, 236786, 236824, 236786, 236811, 1308, 60741, 16291, 1263, 3714, 1201, 1083, 623, 165887, 15570, 230707, 827, 623, 7777, 1083, 623, 13973, 236772, 3063, 19142, 15668, 1699, 24282, 16573, 1913, 14016, 19005, 531, 4883, 2644, 529, 5776, 827, 623, 27521, 1083, 623, 236810, 2782, 16789, 568, 236770, 236810, 4310, 1913, 8633, 19005, 16291, 104960, 623, 14210, 1083, 623, 3243, 20958, 1660, 11893, 5842, 532, 740, 577, 3028, 657, 2033, 653, 580, 506, 7642, 236761, 39874, 1494, 236772, 62580, 18560, 1913, 9737, 24637, 573, 12567, 10941, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 822, 36443, 2708, 236772, 62580, 8774, 15136, 236764, 5402, 531, 14125, 822, 60741, 236764, 13763, 236764, 532, 9737, 10368, 236787, 108, 236770, 236761, 5213, 97422, 2897, 18321, 20439, 1018, 138, 107, 139, 236829, 105677, 519, 5597, 5428, 580, 506, 6784, 568, 236778, 236771, 4310, 236764, 236743, 236832, 8151, 1680, 981, 12016, 138, 107, 139, 238183, 188648, 7002, 573, 60741, 532, 17707, 46310, 699, 1440, 24637, 236761, 108, 236778, 236761, 5213, 138173, 607, 7768, 13944, 616, 1018, 138, 107, 139, 236829, 236800, 236781, 16789, 568, 236792, 236786, 236824, 236786, 236811, 1308, 60741, 12016, 138, 107, 139, 238183, 169612, 52201, 528, 506, 12461, 607, 5743, 7600, 5013, 237028, 50936, 573, 822, 7642, 15668, 236761, 108, 236800, 236761, 5213, 165887, 15570, 230707, 1018, 138, 107, 139, 236829, 236810, 236781, 16789, 568, 236770, 236810, 4310, 1913, 14016, 19005, 12016, 138, 107, 139, 238183, 71808, 236764, 951, 5842, 4354, 237028, 3241, 60328, 19142, 1913, 13181, 9737, 2668, 236761, 108, 236829, 3243, 48843, 1660, 11893, 13290, 532, 740, 577, 3028, 657, 2033, 653, 580, 506, 7642, 236761, 22282, 77372, 1239, 1680, 236786, 9900, 981, 531, 4196, 14887, 573, 822, 8126, 7642, 5085, 236888, 236829, 236743, 244245, 106, 107, 105, 2364, 107, 8574, 611, 9279, 506, 29304, 30494, 573, 236743, 236778, 236771, 4310, 529, 11877, 2897, 18321, 20439, 657, 1041, 3825, 529, 236743, 236770, 236828, 236771, 16931, 236881, 564, 1461, 531, 4087, 1217, 672, 19009, 1131, 1041, 6376, 2778, 3548, 1651, 41346, 23538, 24637, 532, 60741, 14845, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13692, 1083, 623, 97422, 2897, 18321, 20439, 827, 623, 19001, 236779, 38466, 1083, 236743, 236778, 236771, 236764, 623, 125645, 236779, 211963, 1083, 236743, 236828, 236832, 236783, 106, 107, 105, 4368, 107, 3048, 236789, 859, 8141, 8296, 5213, 236828, 236832, 29304, 1018, 1913, 236743, 236778, 236771, 4310, 529, 11877, 2897, 18321, 20439, 568, 502, 236743, 236770, 236828, 236771, 16931, 769, 1174, 14617, 15668, 19009, 58912, 1131, 822, 5597, 10368, 1680, 981, 237028, 4662, 11893, 990, 1651, 11584, 822, 19142, 7675, 2180, 119166, 822, 9737, 24637, 236761, 138, 108, 2542, 4403, 236787, 138, 107, 236772, 5213, 236828, 236832, 29304, 1018, 578, 2578, 236770, 236786, 236770, 236771, 594, 529, 496, 10944, 236743, 236828, 236771, 236771, 236772, 236770, 236764, 236771, 236771, 236771, 63404, 14016, 2541, 236761, 138, 107, 236772, 808, 54133, 573, 822, 15668, 63508, 1174, 47152, 2778, 2180, 82719, 10941, 990, 573, 60741, 653, 6213, 2065, 236761, 138, 108, 29452, 625, 607, 822, 5597, 7681, 580, 506, 7642, 573, 496, 78741, 236764, 10792, 4266, 1502, 531, 822, 1719, 236888, 236743, 169986, 106, 107, 105, 2364, 107, 48727, 625, 237028, 236828, 236832, 29304, 573, 236743, 236778, 236771, 4310, 529, 11877, 2897, 18321, 20439, 657, 236743, 236770, 236828, 236771, 16931, 236761, 4224, 236764, 2338, 564, 236858, 236757, 135382, 236743, 236770, 236778, 236772, 13807, 24637, 657, 506, 6634, 532, 60741, 684, 38306, 236764, 564, 236858, 236753, 1133, 531, 4187, 672, 1131, 1041, 808, 20055, 236829, 6376, 34824, 236761, 3199, 611, 9279, 1217, 672, 19009, 607, 1041, 10944, 5597, 236787, 138, 107, 236772, 236743, 236825, 236787, 236800, 236771, 8151, 236787, 50969, 872, 236764, 7681, 580, 506, 7642, 568, 236800, 236771, 236771, 1421, 236768, 138, 107, 236772, 236743, 236832, 236787, 236771, 236771, 8151, 236787, 18321, 20439, 568, 236828, 236832, 1421, 30494, 236768, 138, 107, 236772, 236743, 236828, 236787, 236771, 236771, 8151, 236787, 41364, 8633, 9857, 138, 108, 236777, 1202, 531, 1281, 768, 506, 2657, 2778, 7002, 568, 46116, 22521, 12174, 18321, 20439, 8141, 236768, 6895, 786, 85132, 573, 6213, 2065, 2180, 67454, 3209, 236761, 5393, 506, 4945, 236764, 951, 127430, 237028, 3307, 10368, 236858, 236751, 11119, 236761, 106, 107, 105, 4368, 107, 8233, 2778, 7002, 236787, 138, 107, 236800, 236771, 236771, 568, 46116, 236768, 753, 236743, 236828, 236832, 568, 79422, 20439, 236768, 578, 5213, 236778, 236770, 236800, 29304, 1018, 138, 108, 236829, 3771, 127430, 236764, 618, 15633, 9603, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 614, 2255, 15028, 3733, 528, 1041, 5226, 8705, 236789, 236751, 97412, 607, 68418, 19764, 236761, 564, 64906, 496, 4429, 236764, 840, 506, 1816, 563, 25681, 176123, 236761, 3199, 611, 8430, 506, 1816, 834, 564, 740, 75610, 506, 13415, 573, 1041, 78856, 236789, 236751, 12089, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8430, 506, 1816, 699, 506, 15028, 3733, 236761, 7323, 2847, 506, 2471, 10739, 529, 506, 4429, 611, 3721, 236764, 532, 564, 236789, 859, 1161, 160015, 4181, 531, 10048, 506, 68418, 1816, 573, 611, 236761, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 3205, 531, 506, 4429, 564, 3721, 236787, 870, 2855, 1411, 8358, 236761, 854, 236786, 42352, 236761, 4034, 5457, 2855, 1411, 8358, 236761, 854, 236786, 42352, 236761, 4034, 769, 1030, 236789, 236751, 496, 3103, 63940, 236764, 840, 564, 4614, 611, 740, 89741, 506, 13153, 1694, 236761, 669, 31096, 691, 914, 35980, 236789, 236751, 9639, 47195, 494, 11467, 1271, 564, 236789, 236753, 17554, 573, 506, 15028, 531, 577, 5745, 17504, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 121774, 236779, 1005, 1083, 11058, 64690, 23168, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236778, 27370, 3866, 96210, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236770, 8578, 18763, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236800, 236786, 236812, 8578, 9792, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236770, 236786, 236778, 8578, 11018, 236764, 47925, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236800, 14318, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236770, 72881, 37675, 8430, 827, 6443, 236756, 236778, 236771, 236778, 236778, 161335, 529, 9551, 827, 623, 3695, 31071, 19768, 531, 236743, 236800, 236810, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 53190, 14255, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1816, 564, 236789, 560, 23583, 699, 822, 15028, 3733, 236787, 108, 1018, 64690, 53121, 107, 236772, 236743, 236778, 27370, 3866, 96210, 107, 236772, 236743, 236770, 8578, 18763, 107, 236772, 236743, 236800, 236786, 236812, 8578, 9792, 107, 236772, 236743, 236770, 236786, 236778, 8578, 11018, 236764, 47925, 107, 236772, 236743, 236800, 14318, 107, 236772, 236743, 236770, 72881, 37675, 8430, 107, 236772, 161335, 529, 9551, 108, 1018, 81851, 568, 4218, 1473, 1018, 107, 236775, 3695, 31071, 19768, 531, 236743, 236800, 236810, 236771, 237366, 236811, 568, 236770, 236832, 236810, 237366, 236780, 53190, 236775, 108, 818, 1816, 691, 21919, 607, 2578, 236832, 236778, 236908, 10805, 236764, 834, 1070, 7579, 2473, 577, 8427, 69224, 568, 11147, 528, 68418, 9413, 769, 669, 13153, 1694, 5724, 4133, 236764, 840, 506, 12652, 6555, 659, 3463, 1135, 528, 506, 2471, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 496, 6079, 494, 11467, 12652, 1996, 531, 14125, 506, 13153, 236881, 107, 236778, 236761, 19536, 37386, 1027, 3530, 912, 529, 506, 1816, 236881, 107, 236800, 236761, 39525, 11221, 573, 64461, 672, 11285, 15028, 531, 4532, 25671, 8443, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 496, 10340, 12652, 1996, 531, 4133, 506, 15028, 236761, 124889, 2782, 532, 12284, 19205, 1093, 577, 4285, 11045, 2338, 564, 1461, 4326, 4011, 573, 1041, 78856, 236789, 236751, 2803, 1719, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9760, 47195, 494, 11467, 12652, 1996, 600, 89289, 822, 13153, 236787, 108, 1018, 90081, 53121, 107, 236770, 236761, 5213, 3695, 31071, 19768, 1018, 531, 236743, 236800, 236810, 236771, 237366, 236811, 568, 236770, 236832, 236810, 237366, 236780, 236768, 532, 53131, 496, 236743, 236819, 236772, 14490, 6247, 845, 3661, 236761, 107, 236778, 236761, 5213, 67829, 6299, 13153, 53121, 70535, 3866, 96210, 236764, 18763, 236764, 9792, 236764, 532, 9551, 528, 496, 13392, 236761, 107, 236800, 236761, 5213, 3218, 11474, 13153, 53121, 75749, 528, 47925, 11018, 236764, 14318, 236764, 532, 37675, 8430, 3097, 7080, 236761, 107, 236812, 236761, 5213, 236799, 873, 53121, 16474, 7241, 1131, 3661, 532, 48301, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 236764, 653, 3097, 13935, 8864, 532, 496, 235756, 23665, 528, 506, 3988, 3952, 855, 3980, 236761, 107, 236810, 236761, 5213, 53459, 53121, 3792, 5427, 6269, 528, 3661, 580, 496, 8733, 25883, 568, 9869, 236743, 236770, 6468, 769, 108, 1018, 150143, 140604, 53121, 107, 236772, 50499, 607, 71960, 9792, 1680, 12284, 107, 236772, 68988, 607, 5756, 35688, 653, 496, 6600, 650, 529, 70253, 9728, 107, 236772, 58108, 607, 37675, 8205, 9728, 573, 496, 4532, 26339, 107, 236772, 667, 64127, 607, 20771, 207287, 96210, 653, 60264, 7983, 108, 1018, 60237, 236787, 36527, 74638, 607, 3143, 142321, 5896, 53121, 107, 236770, 236761, 10452, 506, 3661, 607, 104237, 3627, 573, 8722, 14291, 107, 236778, 236761, 4140, 236743, 236770, 72881, 47195, 8430, 573, 86813, 18434, 107, 236800, 236761, 7179, 19768, 4022, 607, 496, 7732, 60243, 568, 27854, 23642, 3187, 1660, 672, 236768, 107, 236812, 236761, 3792, 506, 494, 11467, 1884, 24602, 573, 9806, 20511, 27215, 108, 2094, 1374, 6422, 496, 14176, 236764, 181604, 31096, 607, 496, 28697, 134480, 236761, 21284, 611, 1133, 786, 531, 3600, 496, 3530, 18333, 4317, 653, 33901, 29140, 568, 236744, 236761, 236759, 1126, 40772, 236772, 6796, 30981, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 614, 2255, 15028, 3733, 528, 1041, 5226, 8705, 236789, 236751, 97412, 607, 68418, 19764, 236761, 564, 64906, 496, 4429, 236764, 840, 506, 1816, 563, 25681, 176123, 236761, 3199, 611, 8430, 506, 1816, 834, 564, 740, 75610, 506, 13415, 573, 1041, 78856, 236789, 236751, 12089, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8430, 506, 1816, 699, 506, 15028, 3733, 236761, 7323, 2847, 506, 2471, 10739, 529, 506, 4429, 611, 3721, 236764, 532, 564, 236789, 859, 1161, 160015, 4181, 531, 10048, 506, 68418, 1816, 573, 611, 236761, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 3205, 531, 506, 4429, 564, 3721, 236787, 870, 2855, 1411, 8358, 236761, 854, 236786, 42352, 236761, 4034, 5457, 2855, 1411, 8358, 236761, 854, 236786, 42352, 236761, 4034, 769, 1030, 236789, 236751, 496, 3103, 63940, 236764, 840, 564, 4614, 611, 740, 89741, 506, 13153, 1694, 236761, 669, 31096, 691, 914, 35980, 236789, 236751, 9639, 47195, 494, 11467, 1271, 564, 236789, 236753, 17554, 573, 506, 15028, 531, 577, 5745, 17504, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 121774, 236779, 1005, 1083, 11058, 64690, 23168, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236778, 27370, 3866, 96210, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236770, 8578, 18763, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236800, 236786, 236812, 8578, 9792, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236770, 236786, 236778, 8578, 11018, 236764, 47925, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236800, 14318, 827, 6443, 236756, 236778, 236771, 236778, 236778, 236743, 236770, 72881, 37675, 8430, 827, 6443, 236756, 236778, 236771, 236778, 236778, 161335, 529, 9551, 827, 623, 3695, 31071, 19768, 531, 236743, 236800, 236810, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 53190, 14255, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1816, 564, 236789, 560, 23583, 699, 822, 15028, 3733, 236787, 108, 1018, 64690, 53121, 107, 236772, 236743, 236778, 27370, 3866, 96210, 107, 236772, 236743, 236770, 8578, 18763, 107, 236772, 236743, 236800, 236786, 236812, 8578, 9792, 107, 236772, 236743, 236770, 236786, 236778, 8578, 11018, 236764, 47925, 107, 236772, 236743, 236800, 14318, 107, 236772, 236743, 236770, 72881, 37675, 8430, 107, 236772, 161335, 529, 9551, 108, 1018, 81851, 568, 4218, 1473, 1018, 107, 236775, 3695, 31071, 19768, 531, 236743, 236800, 236810, 236771, 237366, 236811, 568, 236770, 236832, 236810, 237366, 236780, 53190, 236775, 108, 818, 1816, 691, 21919, 607, 2578, 236832, 236778, 236908, 10805, 236764, 834, 1070, 7579, 2473, 577, 8427, 69224, 568, 11147, 528, 68418, 9413, 769, 669, 13153, 1694, 5724, 4133, 236764, 840, 506, 12652, 6555, 659, 3463, 1135, 528, 506, 2471, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 496, 6079, 494, 11467, 12652, 1996, 531, 14125, 506, 13153, 236881, 107, 236778, 236761, 19536, 37386, 1027, 3530, 912, 529, 506, 1816, 236881, 107, 236800, 236761, 39525, 11221, 573, 64461, 672, 11285, 15028, 531, 4532, 25671, 8443, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 496, 10340, 12652, 1996, 531, 4133, 506, 15028, 236761, 124889, 2782, 532, 12284, 19205, 1093, 577, 4285, 11045, 2338, 564, 1461, 4326, 4011, 573, 1041, 78856, 236789, 236751, 2803, 1719, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9760, 47195, 494, 11467, 12652, 1996, 600, 89289, 822, 13153, 236787, 108, 1018, 90081, 53121, 107, 236770, 236761, 5213, 3695, 31071, 19768, 1018, 531, 236743, 236800, 236810, 236771, 237366, 236811, 568, 236770, 236832, 236810, 237366, 236780, 236768, 532, 53131, 496, 236743, 236819, 236772, 14490, 6247, 845, 3661, 236761, 107, 236778, 236761, 5213, 67829, 6299, 13153, 53121, 70535, 3866, 96210, 236764, 18763, 236764, 9792, 236764, 532, 9551, 528, 496, 13392, 236761, 107, 236800, 236761, 5213, 3218, 11474, 13153, 53121, 75749, 528, 47925, 11018, 236764, 14318, 236764, 532, 37675, 8430, 3097, 7080, 236761, 107, 236812, 236761, 5213, 236799, 873, 53121, 16474, 7241, 1131, 3661, 532, 48301, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 236764, 653, 3097, 13935, 8864, 532, 496, 235756, 23665, 528, 506, 3988, 3952, 855, 3980, 236761, 107, 236810, 236761, 5213, 53459, 53121, 3792, 5427, 6269, 528, 3661, 580, 496, 8733, 25883, 568, 9869, 236743, 236770, 6468, 769, 108, 1018, 150143, 140604, 53121, 107, 236772, 50499, 607, 71960, 9792, 1680, 12284, 107, 236772, 68988, 607, 5756, 35688, 653, 496, 6600, 650, 529, 70253, 9728, 107, 236772, 58108, 607, 37675, 8205, 9728, 573, 496, 4532, 26339, 107, 236772, 667, 64127, 607, 20771, 207287, 96210, 653, 60264, 7983, 108, 1018, 60237, 236787, 36527, 74638, 607, 3143, 142321, 5896, 53121, 107, 236770, 236761, 10452, 506, 3661, 607, 104237, 3627, 573, 8722, 14291, 107, 236778, 236761, 4140, 236743, 236770, 72881, 47195, 8430, 573, 86813, 18434, 107, 236800, 236761, 7179, 19768, 4022, 607, 496, 7732, 60243, 568, 27854, 23642, 3187, 1660, 672, 236768, 107, 236812, 236761, 3792, 506, 494, 11467, 1884, 24602, 573, 9806, 20511, 27215, 108, 2094, 1374, 6422, 496, 14176, 236764, 181604, 31096, 607, 496, 28697, 134480, 236761, 21284, 611, 1133, 786, 531, 3600, 496, 3530, 18333, 4317, 653, 33901, 29140, 568, 236744, 236761, 236759, 1126, 40772, 236772, 6796, 30981, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 8712, 10315, 236761, 564, 236789, 236757, 17373, 573, 496, 1944, 12441, 4598, 672, 9735, 532, 1202, 531, 1900, 71772, 699, 12129, 34906, 236761, 564, 236789, 236757, 528, 60904, 236764, 23468, 236764, 840, 564, 1461, 531, 1386, 2889, 564, 974, 506, 1447, 4762, 4563, 236761, 5315, 236764, 1451, 611, 1161, 506, 88451, 236779, 53343, 5904, 531, 16807, 506, 4453, 3207, 1463, 573, 60904, 236764, 23468, 236881, 4298, 236764, 3622, 692, 735, 600, 10778, 236764, 5091, 1977, 614, 1900, 573, 12480, 236764, 112354, 236764, 532, 5756, 16062, 657, 600, 12129, 34906, 4563, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 201370, 236764, 8005, 827, 623, 201370, 236764, 27608, 827, 623, 201370, 236764, 3247, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 236773, 27330, 236772, 236832, 236828, 236819, 236771, 236770, 236778, 827, 623, 4818, 1083, 623, 87877, 827, 623, 7633, 1083, 78493, 1201, 1083, 623, 98505, 827, 623, 22111, 1083, 236743, 236770, 1263, 3714, 1201, 1083, 623, 103753, 46798, 827, 623, 22111, 1083, 236743, 236770, 1263, 3714, 1201, 1083, 623, 40323, 16062, 827, 623, 22111, 1083, 236743, 236770, 104960, 623, 7125, 1083, 623, 201370, 236764, 8005, 827, 623, 81907, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 12129, 34906, 1900, 815, 1010, 10778, 236888, 236743, 247002, 108, 1018, 9067, 5853, 53121, 555, 27330, 236772, 236832, 236828, 236819, 236771, 236770, 236778, 138, 107, 1018, 6375, 53121, 60904, 236764, 8005, 138, 107, 1018, 10895, 53121, 138, 107, 236772, 42949, 568, 236770, 236768, 138, 107, 236772, 59421, 46798, 568, 236770, 236768, 138, 107, 236772, 28776, 115346, 568, 236770, 236768, 138, 107, 1018, 65787, 7578, 53121, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236825, 236787, 236771, 236771, 8711, 138, 108, 53132, 822, 12441, 4598, 236888, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236761, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 8712, 10315, 236761, 564, 236789, 236757, 17373, 573, 496, 1944, 12441, 4598, 672, 9735, 532, 1202, 531, 1900, 71772, 699, 12129, 34906, 236761, 564, 236789, 236757, 528, 60904, 236764, 23468, 236764, 840, 564, 1461, 531, 1386, 2889, 564, 974, 506, 1447, 4762, 4563, 236761, 5315, 236764, 1451, 611, 1161, 506, 88451, 236779, 53343, 5904, 531, 16807, 506, 4453, 3207, 1463, 573, 60904, 236764, 23468, 236881, 4298, 236764, 3622, 692, 735, 600, 10778, 236764, 5091, 1977, 614, 1900, 573, 12480, 236764, 112354, 236764, 532, 5756, 16062, 657, 600, 12129, 34906, 4563, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 201370, 236764, 8005, 827, 623, 201370, 236764, 27608, 827, 623, 201370, 236764, 3247, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 623, 236773, 27330, 236772, 236832, 236828, 236819, 236771, 236770, 236778, 827, 623, 4818, 1083, 623, 87877, 827, 623, 7633, 1083, 78493, 1201, 1083, 623, 98505, 827, 623, 22111, 1083, 236743, 236770, 1263, 3714, 1201, 1083, 623, 103753, 46798, 827, 623, 22111, 1083, 236743, 236770, 1263, 3714, 1201, 1083, 623, 40323, 16062, 827, 623, 22111, 1083, 236743, 236770, 104960, 623, 7125, 1083, 623, 201370, 236764, 8005, 827, 623, 81907, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 12129, 34906, 1900, 815, 1010, 10778, 236888, 236743, 247002, 108, 1018, 9067, 5853, 53121, 555, 27330, 236772, 236832, 236828, 236819, 236771, 236770, 236778, 138, 107, 1018, 6375, 53121, 60904, 236764, 8005, 138, 107, 1018, 10895, 53121, 138, 107, 236772, 42949, 568, 236770, 236768, 138, 107, 236772, 59421, 46798, 568, 236770, 236768, 138, 107, 236772, 28776, 115346, 568, 236770, 236768, 138, 107, 1018, 65787, 7578, 53121, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236825, 236787, 236771, 236771, 8711, 138, 108, 53132, 822, 12441, 4598, 236888, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 506, 1791, 10224, 3835, 573, 614, 16038, 7946, 564, 236858, 236757, 6995, 236761, 5715, 236858, 236751, 506, 25890, 236787, 564, 236858, 236757, 75389, 699, 708, 92538, 568, 196275, 236768, 531, 28007, 568, 33301, 236768, 580, 6198, 236743, 236770, 236810, 594, 236764, 19447, 573, 236743, 236810, 2668, 236761, 4298, 236764, 564, 1202, 496, 10224, 699, 28007, 531, 15687, 568, 236774, 49128, 236768, 580, 6198, 236743, 236778, 236771, 594, 236764, 19447, 993, 236743, 236812, 2668, 236761, 4934, 15687, 236764, 564, 1461, 531, 10240, 531, 51514, 568, 236806, 9978, 236768, 531, 3517, 126825, 4025, 4556, 580, 6198, 236743, 236778, 236812, 594, 236764, 11704, 236743, 236800, 2668, 993, 236761, 13472, 236764, 564, 1202, 496, 994, 10224, 699, 51514, 1063, 531, 708, 92538, 580, 6198, 236743, 236778, 236832, 594, 236761, 564, 236858, 236753, 5278, 8122, 1012, 236764, 1908, 236772, 11412, 22344, 1298, 2653, 236764, 532, 506, 1346, 2157, 236772, 25931, 3835, 236761, 3199, 611, 1601, 786, 10769, 1239, 195942, 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, 37130, 236770, 236778, 236800, 236812, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 196275, 827, 623, 46353, 236779, 140323, 1083, 623, 33301, 827, 623, 19001, 1083, 623, 236770, 236778, 236754, 236800, 236771, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236812, 236828, 236819, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236812, 236778, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236825, 236819, 236761, 236810, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 177037, 1083, 623, 37130, 236792, 12194, 23196, 37403, 23179, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236812, 236810, 236825, 236832, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236771, 236800, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 196275, 827, 623, 46353, 236779, 140323, 1083, 623, 33301, 827, 623, 19001, 1083, 623, 236770, 236778, 236754, 236800, 236771, 236757, 827, 623, 170282, 1083, 236743, 236770, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236810, 236800, 236778, 236761, 236778, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236812, 236832, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236810, 236832, 236761, 236778, 236810, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 23179, 3714, 30861, 236779, 5640, 1083, 623, 11558, 236828, 236819, 236771, 236770, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236778, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 196275, 827, 623, 46353, 236779, 140323, 1083, 623, 33301, 827, 623, 19001, 1083, 623, 236770, 236778, 236754, 236800, 236771, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236810, 236771, 236828, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236812, 236812, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236825, 236800, 236761, 236832, 236810, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 177037, 1083, 623, 17995, 7001, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9181, 11412, 236779, 8960, 1083, 1847, 1263, 623, 2763, 37755, 1083, 623, 69966, 659, 3660, 531, 2352, 2721, 580, 1759, 236772, 2289, 15830, 236761, 10645, 236772, 11412, 3835, 1149, 735, 5809, 2420, 3352, 236761, 14066, 22479, 236743, 236778, 236770, 2668, 528, 10764, 573, 12567, 6224, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 37130, 236770, 236832, 236770, 236832, 827, 623, 113130, 236779, 140323, 1083, 623, 33301, 827, 623, 46353, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 19001, 236779, 38466, 1083, 236743, 236832, 236810, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236778, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 7284, 3843, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236819, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236771, 236761, 236771, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 3714, 148128, 236779, 54023, 1083, 236743, 236770, 236810, 5237, 3714, 30861, 236779, 5640, 1083, 623, 115400, 236828, 236812, 236819, 827, 623, 113130, 236779, 140323, 1083, 623, 33301, 827, 623, 46353, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 19001, 236779, 38466, 1083, 236743, 236832, 236810, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236800, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 7284, 3843, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236770, 236771, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236771, 236761, 236771, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 3714, 148128, 236779, 54023, 1083, 236743, 236828, 5237, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236812, 236800, 236810, 827, 623, 113130, 236779, 140323, 1083, 623, 33301, 827, 623, 46353, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 19001, 236779, 38466, 1083, 236743, 236832, 236810, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236812, 236778, 236761, 236771, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 7284, 3843, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236770, 236770, 236778, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236771, 236761, 236771, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 3714, 148128, 236779, 54023, 1083, 236743, 236800, 1807, 1604, 623, 28881, 236779, 103411, 1083, 3714, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 4373, 14831, 1083, 3714, 82625, 236751, 1083, 236743, 236770, 5237, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236800, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 11558, 236828, 236812, 236778, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 46353, 236779, 140323, 1083, 623, 236806, 9978, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 236743, 236812, 236770, 236778, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 19001, 236779, 38466, 1083, 236743, 236800, 236819, 236771, 236764, 623, 177037, 1083, 623, 17995, 7001, 23179, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236770, 236812, 236800, 236832, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236810, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236778, 236778, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 46353, 236779, 140323, 1083, 623, 236806, 9978, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 236743, 236800, 236832, 236828, 236764, 623, 170282, 1083, 236743, 236770, 236764, 623, 19001, 236779, 38466, 1083, 236743, 236812, 236825, 236810, 236764, 623, 177037, 1083, 623, 4722, 4323, 132778, 25938, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 3278, 236779, 19031, 1083, 3714, 113130, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 46353, 236779, 140323, 1083, 623, 236806, 9978, 827, 623, 113130, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 4373, 14831, 1083, 3714, 82625, 236751, 1083, 236743, 236770, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 30455, 236770, 236812, 236778, 236770, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236778, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236812, 236770, 236778, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 236743, 236810, 1263, 3714, 30861, 236779, 5640, 1083, 623, 2371, 236800, 236778, 236832, 827, 623, 177037, 1083, 623, 156213, 37403, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236771, 236771, 236787, 236812, 236771, 236787, 236771, 236771, 236953, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236812, 236800, 236828, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 236743, 236800, 1263, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236778, 236812, 236825, 236828, 827, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236771, 236812, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 170282, 1083, 236743, 236770, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236800, 236819, 236810, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 236743, 236832, 104960, 623, 2763, 37755, 1083, 623, 3243, 6527, 3505, 3204, 4886, 236772, 59667, 8122, 67802, 236761, 10645, 236772, 11412, 3835, 1149, 735, 5809, 15830, 236761, 7323, 16807, 994, 3433, 568, 2217, 5012, 528, 672, 3927, 236768, 573, 1626, 22479, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 12323, 529, 822, 10224, 3835, 3418, 784, 20875, 236764, 132187, 8122, 1012, 236764, 1908, 236772, 11412, 22344, 236764, 532, 2157, 236772, 123201, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 708, 92538, 568, 196275, 236768, 16130, 28007, 568, 33301, 236768, 1109, 6198, 236743, 236770, 236810, 1018, 138, 107, 236772, 5213, 14042, 236772, 17348, 28636, 1018, 568, 236800, 2558, 236764, 236743, 236778, 1908, 236772, 11412, 1473, 138, 107, 138, 236772, 5213, 37130, 236792, 58228, 236770, 236778, 236800, 236812, 1018, 568, 236771, 236819, 236787, 236770, 236810, 8151, 27197, 1473, 609, 236812, 236828, 236819, 236761, 236810, 236771, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 5213, 17995, 7001, 18026, 236828, 236819, 236771, 236770, 1018, 568, 236770, 236771, 236787, 236771, 236810, 8711, 27197, 1473, 609, 236810, 236771, 236828, 236761, 236832, 236810, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 22616, 40312, 236812, 236810, 236825, 236832, 568, 236778, 236787, 236810, 236771, 8711, 27197, 1473, 609, 236810, 236800, 236778, 236761, 236778, 236810, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 236770, 4721, 119542, 138, 107, 138, 236772, 808, 17043, 31814, 63508, 5213, 37130, 236792, 58228, 236770, 236778, 236800, 236812, 1018, 568, 803, 24573, 27197, 236764, 45920, 1908, 236772, 11412, 769, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 28007, 568, 33301, 236768, 16130, 15687, 568, 236774, 49128, 236768, 1109, 6198, 236743, 236778, 236771, 1018, 138, 107, 236772, 5213, 3243, 10645, 236772, 17348, 1018, 568, 236800, 3835, 1473, 138, 107, 138, 236772, 5213, 37130, 236792, 58228, 236770, 236832, 236770, 236832, 1018, 568, 236771, 236828, 236787, 236800, 236771, 8151, 27197, 1473, 11361, 236770, 236778, 236810, 568, 236770, 236754, 236770, 236810, 236757, 236764, 236743, 236770, 236810, 17823, 2378, 236768, 138, 107, 138, 236772, 184979, 86686, 236828, 236812, 236819, 568, 236770, 236770, 236787, 236770, 236810, 8151, 27197, 1473, 11361, 236770, 236800, 236810, 568, 236770, 236754, 236770, 236810, 236757, 236764, 236743, 236828, 17823, 2378, 236768, 138, 107, 138, 236772, 3668, 23952, 236812, 236800, 236810, 568, 236778, 236787, 236810, 236771, 8711, 27197, 1473, 11361, 236770, 236812, 236778, 568, 236770, 236754, 236770, 236810, 236757, 236764, 236743, 236800, 17823, 2378, 236768, 138, 107, 138, 236772, 808, 17043, 34742, 63508, 5213, 37130, 236792, 58228, 236770, 236832, 236770, 236832, 1018, 568, 943, 38510, 236764, 33503, 15830, 769, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 15687, 568, 236774, 49128, 236768, 16130, 51514, 568, 236806, 9978, 236768, 1109, 6198, 236743, 236778, 236812, 1018, 138, 107, 236772, 5213, 105367, 28636, 1018, 568, 236778, 2536, 1473, 138, 107, 138, 236772, 5213, 17995, 7001, 18026, 236828, 236812, 236778, 1018, 568, 236770, 236770, 236787, 236770, 236810, 8151, 27197, 1473, 609, 236812, 236770, 236778, 568, 236825, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 22616, 40312, 236770, 236812, 236800, 236832, 568, 236800, 236787, 236810, 236771, 8711, 27197, 1473, 609, 236800, 236832, 236828, 568, 236832, 236754, 236812, 236810, 236757, 236764, 5213, 236770, 4721, 1018, 4323, 132778, 236768, 138, 107, 138, 236772, 808, 17043, 34742, 63508, 5213, 4722, 40312, 236770, 236812, 236800, 236832, 1018, 568, 943, 38510, 236764, 840, 607, 496, 4721, 769, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 51514, 568, 236806, 9978, 236768, 16130, 708, 92538, 568, 196275, 236768, 1109, 6198, 236743, 236778, 236832, 1018, 138, 107, 236772, 5213, 14042, 236772, 17348, 28636, 1018, 568, 236800, 2558, 236764, 236743, 236778, 1908, 236772, 11412, 1473, 138, 107, 138, 236772, 5213, 4722, 40312, 236770, 236812, 236778, 236770, 1018, 568, 236771, 236819, 236787, 236770, 236810, 8151, 27197, 1473, 609, 236812, 236770, 236778, 236761, 236810, 236771, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 32130, 9447, 236800, 236778, 236832, 568, 236770, 236778, 236787, 236800, 236771, 8711, 27197, 1473, 609, 236812, 236800, 236828, 568, 236770, 236778, 236754, 236770, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 3668, 23952, 236778, 236812, 236825, 236828, 568, 236800, 236787, 236812, 236810, 8711, 27197, 1473, 609, 236800, 236819, 236810, 236761, 236832, 236810, 568, 236770, 236778, 236754, 236778, 236771, 236757, 236764, 5213, 236770, 4721, 119542, 138, 107, 138, 236772, 808, 17043, 31814, 63508, 5213, 4722, 40312, 236770, 236812, 236778, 236770, 1018, 568, 9181, 236772, 11412, 657, 496, 5453, 236772, 8572, 3385, 769, 138, 108, 7243, 108, 10354, 5213, 9640, 93550, 11117, 568, 4906, 236772, 38706, 810, 66056, 62902, 138, 107, 236772, 5213, 5239, 38510, 19993, 66515, 202721, 236770, 236764, 236812, 236770, 236810, 236761, 236832, 236810, 568, 37130, 236792, 58228, 236770, 236778, 236800, 236812, 900, 226573, 58228, 236770, 236832, 236770, 236832, 900, 22616, 40312, 236770, 236812, 236800, 236832, 900, 22616, 40312, 236770, 236812, 236778, 236770, 236768, 138, 107, 236772, 5213, 14254, 126806, 66515, 202721, 236770, 236764, 236812, 236832, 236810, 236761, 236832, 236810, 568, 3243, 1908, 236772, 11412, 22344, 236787, 226573, 58228, 236770, 236778, 236800, 236812, 900, 226573, 58228, 236770, 236832, 236770, 236832, 900, 5661, 7001, 18026, 236828, 236812, 236778, 900, 22616, 40312, 236770, 236812, 236778, 236770, 236768, 138, 108, 7243, 108, 10354, 5213, 201430, 1018, 138, 107, 236770, 236761, 5213, 9020, 21107, 66515, 37341, 1149, 8570, 12532, 531, 27197, 236793, 1966, 43014, 528, 15663, 236743, 236778, 236770, 236862, 2668, 7531, 236761, 138, 107, 236778, 236761, 5213, 14042, 236772, 17348, 22282, 217361, 66515, 226573, 58228, 236770, 236778, 236800, 236812, 568, 196275, 238183, 33301, 779, 226573, 58228, 236770, 236832, 236770, 236832, 568, 33301, 238183, 236774, 49128, 779, 532, 22616, 40312, 236770, 236812, 236778, 236770, 568, 236806, 9978, 238183, 196275, 236768, 2729, 12842, 4301, 236761, 138, 107, 236800, 236761, 5213, 23077, 236772, 76652, 66515, 10839, 573, 22616, 40312, 236770, 236812, 236800, 236832, 568, 236774, 49128, 238183, 236806, 9978, 607, 496, 4721, 236768, 531, 5383, 609, 236800, 236812, 7728, 236761, 506, 1908, 236772, 11412, 18026, 236828, 236812, 236778, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 22479, 653, 22020, 5074, 236772, 13319, 195942, 236888, 236743, 244906, 244710, 238178, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 506, 1791, 10224, 3835, 573, 614, 16038, 7946, 564, 236858, 236757, 6995, 236761, 5715, 236858, 236751, 506, 25890, 236787, 564, 236858, 236757, 75389, 699, 708, 92538, 568, 196275, 236768, 531, 28007, 568, 33301, 236768, 580, 6198, 236743, 236770, 236810, 594, 236764, 19447, 573, 236743, 236810, 2668, 236761, 4298, 236764, 564, 1202, 496, 10224, 699, 28007, 531, 15687, 568, 236774, 49128, 236768, 580, 6198, 236743, 236778, 236771, 594, 236764, 19447, 993, 236743, 236812, 2668, 236761, 4934, 15687, 236764, 564, 1461, 531, 10240, 531, 51514, 568, 236806, 9978, 236768, 531, 3517, 126825, 4025, 4556, 580, 6198, 236743, 236778, 236812, 594, 236764, 11704, 236743, 236800, 2668, 993, 236761, 13472, 236764, 564, 1202, 496, 994, 10224, 699, 51514, 1063, 531, 708, 92538, 580, 6198, 236743, 236778, 236832, 594, 236761, 564, 236858, 236753, 5278, 8122, 1012, 236764, 1908, 236772, 11412, 22344, 1298, 2653, 236764, 532, 506, 1346, 2157, 236772, 25931, 3835, 236761, 3199, 611, 1601, 786, 10769, 1239, 195942, 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, 37130, 236770, 236778, 236800, 236812, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 196275, 827, 623, 46353, 236779, 140323, 1083, 623, 33301, 827, 623, 19001, 1083, 623, 236770, 236778, 236754, 236800, 236771, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236812, 236828, 236819, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236812, 236778, 236771, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236825, 236819, 236761, 236810, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 177037, 1083, 623, 37130, 236792, 12194, 23196, 37403, 23179, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236812, 236810, 236825, 236832, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236771, 236800, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 196275, 827, 623, 46353, 236779, 140323, 1083, 623, 33301, 827, 623, 19001, 1083, 623, 236770, 236778, 236754, 236800, 236771, 236757, 827, 623, 170282, 1083, 236743, 236770, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236810, 236800, 236778, 236761, 236778, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236812, 236832, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236810, 236832, 236761, 236778, 236810, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 23179, 3714, 30861, 236779, 5640, 1083, 623, 11558, 236828, 236819, 236771, 236770, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236778, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 196275, 827, 623, 46353, 236779, 140323, 1083, 623, 33301, 827, 623, 19001, 1083, 623, 236770, 236778, 236754, 236800, 236771, 236757, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236810, 236771, 236828, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7284, 3843, 1083, 3714, 5521, 1083, 236743, 236812, 236812, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236825, 236800, 236761, 236832, 236810, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 177037, 1083, 623, 17995, 7001, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9181, 11412, 236779, 8960, 1083, 1847, 1263, 623, 2763, 37755, 1083, 623, 69966, 659, 3660, 531, 2352, 2721, 580, 1759, 236772, 2289, 15830, 236761, 10645, 236772, 11412, 3835, 1149, 735, 5809, 2420, 3352, 236761, 14066, 22479, 236743, 236778, 236770, 2668, 528, 10764, 573, 12567, 6224, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 37130, 236770, 236832, 236770, 236832, 827, 623, 113130, 236779, 140323, 1083, 623, 33301, 827, 623, 46353, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 19001, 236779, 38466, 1083, 236743, 236832, 236810, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236778, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 7284, 3843, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236819, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236771, 236761, 236771, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 3714, 148128, 236779, 54023, 1083, 236743, 236770, 236810, 5237, 3714, 30861, 236779, 5640, 1083, 623, 115400, 236828, 236812, 236819, 827, 623, 113130, 236779, 140323, 1083, 623, 33301, 827, 623, 46353, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 19001, 236779, 38466, 1083, 236743, 236832, 236810, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236800, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 7284, 3843, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236770, 236771, 236810, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236771, 236761, 236771, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 3714, 148128, 236779, 54023, 1083, 236743, 236828, 5237, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236812, 236800, 236810, 827, 623, 113130, 236779, 140323, 1083, 623, 33301, 827, 623, 46353, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 19001, 236779, 38466, 1083, 236743, 236832, 236810, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236770, 236812, 236778, 236761, 236771, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 7284, 3843, 1083, 3714, 5521, 236779, 25820, 1083, 236743, 236770, 236770, 236778, 236761, 236771, 236764, 623, 85512, 1083, 236743, 236800, 236771, 236761, 236771, 5237, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 3714, 148128, 236779, 54023, 1083, 236743, 236800, 1807, 1604, 623, 28881, 236779, 103411, 1083, 3714, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 4373, 14831, 1083, 3714, 82625, 236751, 1083, 236743, 236770, 5237, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236800, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 11558, 236828, 236812, 236778, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236770, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 46353, 236779, 140323, 1083, 623, 236806, 9978, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 236743, 236812, 236770, 236778, 236764, 623, 170282, 1083, 236743, 236771, 236764, 623, 19001, 236779, 38466, 1083, 236743, 236800, 236819, 236771, 236764, 623, 177037, 1083, 623, 17995, 7001, 23179, 3714, 30861, 236779, 5640, 1083, 623, 30455, 236770, 236812, 236800, 236832, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236770, 236810, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 236774, 236778, 236778, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 827, 623, 113130, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 46353, 236779, 140323, 1083, 623, 236806, 9978, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 9707, 1083, 236743, 236800, 236832, 236828, 236764, 623, 170282, 1083, 236743, 236770, 236764, 623, 19001, 236779, 38466, 1083, 236743, 236812, 236825, 236810, 236764, 623, 177037, 1083, 623, 4722, 4323, 132778, 25938, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 2074, 236779, 12103, 1083, 236743, 236770, 236771, 236764, 623, 3278, 236779, 19031, 1083, 3714, 113130, 236779, 140323, 1083, 623, 236774, 49128, 827, 623, 46353, 236779, 140323, 1083, 623, 236806, 9978, 827, 623, 113130, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236812, 827, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 4373, 14831, 1083, 3714, 82625, 236751, 1083, 236743, 236770, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 30455, 236770, 236812, 236778, 236770, 827, 623, 177037, 1083, 623, 4722, 5661, 40853, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236778, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236812, 236770, 236778, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 236743, 236810, 1263, 3714, 30861, 236779, 5640, 1083, 623, 2371, 236800, 236778, 236832, 827, 623, 177037, 1083, 623, 156213, 37403, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236771, 236771, 236787, 236812, 236771, 236787, 236771, 236771, 236953, 827, 623, 170282, 1083, 236743, 236771, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236812, 236800, 236828, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 236743, 236800, 1263, 3714, 30861, 236779, 5640, 1083, 623, 8686, 236778, 236812, 236825, 236828, 827, 623, 177037, 1083, 623, 14645, 37403, 827, 623, 113130, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 46353, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236832, 236774, 236771, 236812, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 170282, 1083, 236743, 236770, 236764, 623, 9707, 1083, 3714, 6725, 1083, 236743, 236800, 236819, 236810, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 157622, 236779, 1999, 1083, 623, 159136, 827, 623, 56905, 1083, 236743, 236832, 104960, 623, 2763, 37755, 1083, 623, 3243, 6527, 3505, 3204, 4886, 236772, 59667, 8122, 67802, 236761, 10645, 236772, 11412, 3835, 1149, 735, 5809, 15830, 236761, 7323, 16807, 994, 3433, 568, 2217, 5012, 528, 672, 3927, 236768, 573, 1626, 22479, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 12323, 529, 822, 10224, 3835, 3418, 784, 20875, 236764, 132187, 8122, 1012, 236764, 1908, 236772, 11412, 22344, 236764, 532, 2157, 236772, 123201, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 708, 92538, 568, 196275, 236768, 16130, 28007, 568, 33301, 236768, 1109, 6198, 236743, 236770, 236810, 1018, 138, 107, 236772, 5213, 14042, 236772, 17348, 28636, 1018, 568, 236800, 2558, 236764, 236743, 236778, 1908, 236772, 11412, 1473, 138, 107, 138, 236772, 5213, 37130, 236792, 58228, 236770, 236778, 236800, 236812, 1018, 568, 236771, 236819, 236787, 236770, 236810, 8151, 27197, 1473, 609, 236812, 236828, 236819, 236761, 236810, 236771, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 5213, 17995, 7001, 18026, 236828, 236819, 236771, 236770, 1018, 568, 236770, 236771, 236787, 236771, 236810, 8711, 27197, 1473, 609, 236810, 236771, 236828, 236761, 236832, 236810, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 22616, 40312, 236812, 236810, 236825, 236832, 568, 236778, 236787, 236810, 236771, 8711, 27197, 1473, 609, 236810, 236800, 236778, 236761, 236778, 236810, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 236770, 4721, 119542, 138, 107, 138, 236772, 808, 17043, 31814, 63508, 5213, 37130, 236792, 58228, 236770, 236778, 236800, 236812, 1018, 568, 803, 24573, 27197, 236764, 45920, 1908, 236772, 11412, 769, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 28007, 568, 33301, 236768, 16130, 15687, 568, 236774, 49128, 236768, 1109, 6198, 236743, 236778, 236771, 1018, 138, 107, 236772, 5213, 3243, 10645, 236772, 17348, 1018, 568, 236800, 3835, 1473, 138, 107, 138, 236772, 5213, 37130, 236792, 58228, 236770, 236832, 236770, 236832, 1018, 568, 236771, 236828, 236787, 236800, 236771, 8151, 27197, 1473, 11361, 236770, 236778, 236810, 568, 236770, 236754, 236770, 236810, 236757, 236764, 236743, 236770, 236810, 17823, 2378, 236768, 138, 107, 138, 236772, 184979, 86686, 236828, 236812, 236819, 568, 236770, 236770, 236787, 236770, 236810, 8151, 27197, 1473, 11361, 236770, 236800, 236810, 568, 236770, 236754, 236770, 236810, 236757, 236764, 236743, 236828, 17823, 2378, 236768, 138, 107, 138, 236772, 3668, 23952, 236812, 236800, 236810, 568, 236778, 236787, 236810, 236771, 8711, 27197, 1473, 11361, 236770, 236812, 236778, 568, 236770, 236754, 236770, 236810, 236757, 236764, 236743, 236800, 17823, 2378, 236768, 138, 107, 138, 236772, 808, 17043, 34742, 63508, 5213, 37130, 236792, 58228, 236770, 236832, 236770, 236832, 1018, 568, 943, 38510, 236764, 33503, 15830, 769, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 15687, 568, 236774, 49128, 236768, 16130, 51514, 568, 236806, 9978, 236768, 1109, 6198, 236743, 236778, 236812, 1018, 138, 107, 236772, 5213, 105367, 28636, 1018, 568, 236778, 2536, 1473, 138, 107, 138, 236772, 5213, 17995, 7001, 18026, 236828, 236812, 236778, 1018, 568, 236770, 236770, 236787, 236770, 236810, 8151, 27197, 1473, 609, 236812, 236770, 236778, 568, 236825, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 22616, 40312, 236770, 236812, 236800, 236832, 568, 236800, 236787, 236810, 236771, 8711, 27197, 1473, 609, 236800, 236832, 236828, 568, 236832, 236754, 236812, 236810, 236757, 236764, 5213, 236770, 4721, 1018, 4323, 132778, 236768, 138, 107, 138, 236772, 808, 17043, 34742, 63508, 5213, 4722, 40312, 236770, 236812, 236800, 236832, 1018, 568, 943, 38510, 236764, 840, 607, 496, 4721, 769, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 51514, 568, 236806, 9978, 236768, 16130, 708, 92538, 568, 196275, 236768, 1109, 6198, 236743, 236778, 236832, 1018, 138, 107, 236772, 5213, 14042, 236772, 17348, 28636, 1018, 568, 236800, 2558, 236764, 236743, 236778, 1908, 236772, 11412, 1473, 138, 107, 138, 236772, 5213, 4722, 40312, 236770, 236812, 236778, 236770, 1018, 568, 236771, 236819, 236787, 236770, 236810, 8151, 27197, 1473, 609, 236812, 236770, 236778, 236761, 236810, 236771, 568, 236770, 236778, 236754, 236800, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 32130, 9447, 236800, 236778, 236832, 568, 236770, 236778, 236787, 236800, 236771, 8711, 27197, 1473, 609, 236812, 236800, 236828, 568, 236770, 236778, 236754, 236770, 236771, 236757, 236764, 5213, 9181, 236772, 11412, 119542, 138, 107, 138, 236772, 3668, 23952, 236778, 236812, 236825, 236828, 568, 236800, 236787, 236812, 236810, 8711, 27197, 1473, 609, 236800, 236819, 236810, 236761, 236832, 236810, 568, 236770, 236778, 236754, 236778, 236771, 236757, 236764, 5213, 236770, 4721, 119542, 138, 107, 138, 236772, 808, 17043, 31814, 63508, 5213, 4722, 40312, 236770, 236812, 236778, 236770, 1018, 568, 9181, 236772, 11412, 657, 496, 5453, 236772, 8572, 3385, 769, 138, 108, 7243, 108, 10354, 5213, 9640, 93550, 11117, 568, 4906, 236772, 38706, 810, 66056, 62902, 138, 107, 236772, 5213, 5239, 38510, 19993, 66515, 202721, 236770, 236764, 236812, 236770, 236810, 236761, 236832, 236810, 568, 37130, 236792, 58228, 236770, 236778, 236800, 236812, 900, 226573, 58228, 236770, 236832, 236770, 236832, 900, 22616, 40312, 236770, 236812, 236800, 236832, 900, 22616, 40312, 236770, 236812, 236778, 236770, 236768, 138, 107, 236772, 5213, 14254, 126806, 66515, 202721, 236770, 236764, 236812, 236832, 236810, 236761, 236832, 236810, 568, 3243, 1908, 236772, 11412, 22344, 236787, 226573, 58228, 236770, 236778, 236800, 236812, 900, 226573, 58228, 236770, 236832, 236770, 236832, 900, 5661, 7001, 18026, 236828, 236812, 236778, 900, 22616, 40312, 236770, 236812, 236778, 236770, 236768, 138, 108, 7243, 108, 10354, 5213, 201430, 1018, 138, 107, 236770, 236761, 5213, 9020, 21107, 66515, 37341, 1149, 8570, 12532, 531, 27197, 236793, 1966, 43014, 528, 15663, 236743, 236778, 236770, 236862, 2668, 7531, 236761, 138, 107, 236778, 236761, 5213, 14042, 236772, 17348, 22282, 217361, 66515, 226573, 58228, 236770, 236778, 236800, 236812, 568, 196275, 238183, 33301, 779, 226573, 58228, 236770, 236832, 236770, 236832, 568, 33301, 238183, 236774, 49128, 779, 532, 22616, 40312, 236770, 236812, 236778, 236770, 568, 236806, 9978, 238183, 196275, 236768, 2729, 12842, 4301, 236761, 138, 107, 236800, 236761, 5213, 23077, 236772, 76652, 66515, 10839, 573, 22616, 40312, 236770, 236812, 236800, 236832, 568, 236774, 49128, 238183, 236806, 9978, 607, 496, 4721, 236768, 531, 5383, 609, 236800, 236812, 7728, 236761, 506, 1908, 236772, 11412, 18026, 236828, 236812, 236778, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 22479, 653, 22020, 5074, 236772, 13319, 195942, 236888, 236743, 244906, 244710, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 11327, 1698, 4402, 573, 73476, 1610, 5417, 532, 50353, 6436, 236761, 6890, 1698, 236779, 19243, 236779, 2234, 607, 8038, 623, 661, 14767, 236775, 532, 1722, 623, 236758, 15227, 236775, 573, 1041, 11710, 37999, 236764, 532, 8038, 623, 93420, 2904, 236775, 607, 1722, 623, 236759, 700, 2576, 14049, 13153, 236775, 573, 1041, 22637, 90869, 236761, 5833, 4576, 236784, 236810, 532, 9815, 236784, 236771, 531, 974, 496, 63510, 21385, 236761, 564, 236789, 236757, 6412, 7467, 528, 1217, 1239, 1698, 4402, 2473, 33647, 607, 17934, 9286, 528, 6429, 21896, 236761, 106, 107, 105, 4368, 107, 818, 2165, 5930, 236779, 19243, 236779, 2234, 236929, 5904, 7087, 40155, 62606, 573, 2165, 5930, 133104, 693, 996, 547, 236929, 532, 2165, 5432, 5930, 4043, 547, 8347, 840, 822, 2864, 54945, 8038, 236786, 2084, 5618, 1133, 623, 661, 14767, 236775, 532, 623, 236759, 700, 2576, 14049, 13153, 3056, 20044, 236764, 993, 236858, 236751, 951, 5904, 2487, 531, 7352, 1239, 41575, 5618, 1131, 506, 3149, 40155, 62606, 236761, 236743, 108, 2021, 7162, 236764, 611, 236858, 236753, 1202, 531, 2847, 506, 3530, 40155, 62606, 573, 236787, 107, 236770, 236761, 2165, 5930, 133104, 693, 996, 547, 236929, 568, 236744, 236761, 236759, 1126, 506, 5853, 573, 623, 236758, 15227, 236775, 653, 623, 236759, 700, 2576, 14049, 13153, 1373, 107, 236778, 236761, 2165, 5432, 5930, 4043, 547, 236929, 568, 236744, 236761, 236759, 1126, 506, 5853, 573, 623, 661, 14767, 236775, 653, 623, 93420, 2904, 1373, 108, 33142, 1239, 62606, 236764, 506, 5904, 3914, 33205, 506, 1698, 4402, 236761, 3574, 611, 735, 2802, 531, 1239, 104026, 236764, 653, 1093, 611, 1133, 14984, 580, 1217, 531, 1586, 1091, 236881, 106, 107, 105, 2364, 107, 236777, 3050, 506, 26919, 236761, 5612, 564, 1537, 236789, 236745, 735, 2802, 531, 506, 6145, 5853, 56369, 573, 1698, 4402, 236764, 1451, 611, 2426, 768, 993, 236789, 236751, 2264, 1595, 531, 33205, 1239, 62606, 1699, 506, 2487, 6436, 236881, 1701, 5705, 236764, 1451, 692, 1161, 506, 3161, 236779, 5930, 5904, 607, 496, 3224, 1698, 699, 1239, 12669, 531, 8430, 910, 2299, 62606, 236881, 564, 735, 496, 8178, 506, 1458, 2473, 22480, 3211, 607, 1239, 4402, 1343, 910, 28436, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 500, 4338, 600, 506, 2165, 18999, 236779, 5930, 236929, 5904, 1451, 14846, 16913, 2299, 236786, 10618, 62606, 528, 1061, 28436, 3072, 236761, 5978, 506, 5904, 236789, 236751, 13049, 4038, 236789, 236745, 25010, 1883, 625, 7623, 1698, 2299, 25493, 236764, 103156, 3211, 3187, 3014, 8038, 236786, 125405, 1938, 528, 910, 9299, 13630, 236761, 3792, 236789, 236751, 1594, 672, 4313, 236761, 108, 9366, 2847, 236787, 107, 236770, 236761, 562, 3530, 5213, 5930, 6060, 1018, 568, 6738, 56234, 236768, 573, 496, 3224, 1610, 6429, 4188, 568, 236744, 236761, 236759, 1126, 623, 137802, 236772, 33277, 236772, 1025, 1373, 107, 236778, 236761, 562, 3530, 1698, 6060, 573, 496, 8351, 2904, 236786, 236759, 700, 2576, 31831, 4188, 568, 236744, 236761, 236759, 1126, 623, 45437, 236772, 66111, 236772, 43415, 1373, 108, 236777, 236789, 859, 1161, 2165, 18999, 236779, 5930, 236929, 580, 1239, 531, 2426, 768, 901, 3014, 8038, 62606, 653, 1698, 2299, 28436, 528, 910, 3072, 236761, 1637, 6595, 236764, 692, 740, 8430, 506, 3149, 62606, 699, 993, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 2847, 1156, 1698, 19171, 699, 1041, 3577, 5249, 600, 1374, 981, 573, 672, 5708, 236787, 236743, 236770, 236761, 4585, 14767, 236787, 623, 149996, 236772, 45493, 236772, 14303, 236772, 119884, 236775, 568, 236746, 13671, 12002, 5500, 564, 1161, 573, 1041, 41372, 3799, 236772, 52728, 25687, 236768, 236743, 236778, 236761, 30409, 2904, 236787, 623, 43081, 236772, 66111, 236772, 43415, 236772, 1025, 236775, 568, 236746, 12139, 8103, 21171, 1076, 564, 18039, 580, 573, 17373, 1609, 236744, 1844, 42651, 5025, 44517, 236768, 3792, 236858, 236751, 18840, 1239, 3211, 236858, 28436, 531, 53144, 910, 15605, 1698, 2299, 62606, 236761, 564, 15690, 506, 12002, 28809, 795, 16913, 62606, 4596, 531, 1800, 623, 104309, 14767, 236775, 532, 623, 1005, 755, 5417, 236775, 4402, 236764, 1651, 506, 22637, 61316, 2473, 3205, 531, 623, 45437, 8351, 6436, 236775, 532, 623, 8424, 83939, 236775, 4402, 236761, 1174, 1451, 1601, 4187, 17934, 62769, 1534, 25075, 532, 50353, 6429, 21896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 100415, 45190, 42976, 74144, 827, 623, 7777, 1083, 623, 107332, 83691, 236772, 9619, 12002, 28809, 5402, 573, 5707, 11421, 236761, 25772, 236743, 236770, 236771, 236771, 236908, 14538, 29989, 12002, 607, 4920, 236772, 6796, 15149, 236764, 7436, 573, 4446, 532, 35740, 11710, 236761, 18326, 528, 5065, 64034, 532, 25565, 10498, 623, 105621, 1083, 78493, 11455, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 9707, 1083, 623, 236828, 236819, 236761, 236819, 236819, 827, 623, 46589, 236779, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 8194, 1083, 3714, 3038, 1083, 623, 236812, 236828, 8455, 1123, 236743, 236770, 236771, 2274, 127096, 1604, 623, 5930, 236779, 4043, 236779, 2643, 1083, 11058, 104309, 236772, 22102, 8135, 827, 623, 1005, 755, 236772, 80234, 14255, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 7655, 14517, 1083, 3714, 12697, 236779, 5930, 236779, 19243, 1083, 11058, 104309, 236772, 22102, 8135, 827, 623, 1005, 755, 236772, 80234, 14255, 623, 71703, 236779, 10864, 236779, 10618, 1083, 623, 661, 3316, 236772, 80234, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 68428, 37727, 113246, 5833, 753, 236743, 236832, 70147, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 4974, 69928, 12139, 8103, 21171, 1076, 18482, 614, 236743, 236828, 236772, 14490, 22637, 236789, 236751, 21171, 236764, 236743, 236825, 236772, 14490, 14955, 21171, 236764, 236743, 236800, 236761, 236810, 236772, 14490, 944, 522, 21171, 236764, 162487, 12453, 236764, 188307, 236764, 532, 1156, 13671, 2615, 236745, 50888, 236761, 49308, 104048, 52390, 14770, 19171, 532, 8521, 6310, 3355, 236761, 7303, 4402, 236787, 5707, 8351, 6436, 236764, 101116, 10498, 623, 105621, 1083, 78493, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 21108, 19767, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 46589, 236779, 22111, 1083, 236743, 236810, 236771, 104960, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 5930, 236779, 2084, 1083, 623, 56753, 30409, 25373, 827, 623, 19112, 1083, 11058, 8424, 83939, 827, 623, 53187, 8103, 827, 623, 93420, 52047, 99471, 106, 107, 105, 4368, 107, 818, 1698, 28436, 21577, 506, 5213, 2383, 104026, 1018, 573, 506, 1698, 4402, 236764, 840, 506, 2165, 5930, 236779, 19243, 236779, 2234, 236929, 5904, 7087, 5213, 20404, 62606, 1018, 568, 16469, 9964, 236768, 573, 2165, 5930, 133104, 693, 996, 547, 236929, 532, 2165, 5432, 5930, 4043, 547, 21233, 5715, 236789, 236751, 1144, 692, 1765, 236787, 108, 7243, 108, 10354, 5213, 9175, 77245, 568, 27574, 74144, 62902, 107, 236772, 5213, 7163, 41534, 66515, 138, 107, 138, 236929, 236775, 104309, 236772, 22102, 8135, 236775, 8347, 211661, 1005, 755, 236772, 80234, 34841, 138, 107, 236772, 5213, 58142, 35211, 23223, 66515, 138, 107, 138, 236929, 236775, 661, 3316, 236772, 80234, 34841, 138, 108, 10354, 5213, 100399, 2904, 568, 85809, 113246, 5833, 62902, 107, 236772, 5213, 7163, 41534, 66515, 138, 107, 138, 236929, 236775, 45437, 236772, 93420, 236772, 18220, 236775, 8347, 211661, 8424, 83939, 34841, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 35155, 236764, 506, 2487, 6436, 3914, 5467, 7352, 1239, 2483, 104026, 1131, 40155, 62606, 236761, 2282, 1161, 2165, 5930, 236779, 19243, 236779, 2234, 8347, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 5213, 11942, 6145, 1458, 56369, 1018, 568, 236744, 236761, 236759, 1126, 7948, 653, 9299, 13049, 236768, 531, 1586, 506, 40155, 62606, 7041, 531, 1239, 2483, 5618, 236761, 138, 107, 236778, 236761, 5213, 11431, 506, 5058, 30373, 1018, 573, 506, 40155, 62606, 19240, 531, 236787, 138, 107, 139, 236772, 2165, 5930, 133104, 693, 996, 547, 236929, 568, 236744, 236761, 236759, 1126, 623, 104309, 236772, 22102, 8135, 236775, 16130, 5853, 2165, 236770, 236778, 236800, 236812, 18833, 138, 107, 139, 236772, 2165, 5432, 5930, 4043, 547, 236929, 568, 236744, 236761, 236759, 1126, 623, 45437, 236772, 93420, 236772, 18220, 236775, 16130, 5853, 2165, 236810, 236825, 236832, 236828, 59395, 138, 108, 7243, 108, 10354, 5213, 191132, 76374, 1018, 107, 818, 28436, 12205, 496, 3582, 25000, 1534, 1698, 4402, 532, 6429, 21896, 236787, 107, 236772, 5213, 9175, 77245, 1018, 659, 74252, 1208, 5213, 236775, 661, 3316, 236772, 80234, 236775, 125546, 837, 1451, 62991, 73476, 573, 5417, 1133, 176632, 236764, 42145, 236764, 532, 57228, 236761, 138, 107, 236772, 5213, 85809, 25373, 1018, 3798, 1208, 5213, 236775, 45437, 236772, 93420, 236772, 18220, 236775, 125546, 17674, 496, 3213, 580, 39601, 532, 6635, 236772, 9619, 5842, 236761, 138, 108, 2859, 611, 740, 3011, 506, 40155, 62606, 236764, 692, 1451, 3342, 18840, 1217, 1239, 4402, 33647, 607, 18241, 3997, 236764, 27313, 12230, 236764, 653, 33972, 62769, 236761, 21284, 611, 1133, 531, 59638, 672, 4313, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11327, 1698, 4402, 573, 73476, 1610, 5417, 532, 50353, 6436, 236761, 6890, 1698, 236779, 19243, 236779, 2234, 607, 8038, 623, 661, 14767, 236775, 532, 1722, 623, 236758, 15227, 236775, 573, 1041, 11710, 37999, 236764, 532, 8038, 623, 93420, 2904, 236775, 607, 1722, 623, 236759, 700, 2576, 14049, 13153, 236775, 573, 1041, 22637, 90869, 236761, 5833, 4576, 236784, 236810, 532, 9815, 236784, 236771, 531, 974, 496, 63510, 21385, 236761, 564, 236789, 236757, 6412, 7467, 528, 1217, 1239, 1698, 4402, 2473, 33647, 607, 17934, 9286, 528, 6429, 21896, 236761, 106, 107, 105, 4368, 107, 818, 2165, 5930, 236779, 19243, 236779, 2234, 236929, 5904, 7087, 40155, 62606, 573, 2165, 5930, 133104, 693, 996, 547, 236929, 532, 2165, 5432, 5930, 4043, 547, 8347, 840, 822, 2864, 54945, 8038, 236786, 2084, 5618, 1133, 623, 661, 14767, 236775, 532, 623, 236759, 700, 2576, 14049, 13153, 3056, 20044, 236764, 993, 236858, 236751, 951, 5904, 2487, 531, 7352, 1239, 41575, 5618, 1131, 506, 3149, 40155, 62606, 236761, 236743, 108, 2021, 7162, 236764, 611, 236858, 236753, 1202, 531, 2847, 506, 3530, 40155, 62606, 573, 236787, 107, 236770, 236761, 2165, 5930, 133104, 693, 996, 547, 236929, 568, 236744, 236761, 236759, 1126, 506, 5853, 573, 623, 236758, 15227, 236775, 653, 623, 236759, 700, 2576, 14049, 13153, 1373, 107, 236778, 236761, 2165, 5432, 5930, 4043, 547, 236929, 568, 236744, 236761, 236759, 1126, 506, 5853, 573, 623, 661, 14767, 236775, 653, 623, 93420, 2904, 1373, 108, 33142, 1239, 62606, 236764, 506, 5904, 3914, 33205, 506, 1698, 4402, 236761, 3574, 611, 735, 2802, 531, 1239, 104026, 236764, 653, 1093, 611, 1133, 14984, 580, 1217, 531, 1586, 1091, 236881, 106, 107, 105, 2364, 107, 236777, 3050, 506, 26919, 236761, 5612, 564, 1537, 236789, 236745, 735, 2802, 531, 506, 6145, 5853, 56369, 573, 1698, 4402, 236764, 1451, 611, 2426, 768, 993, 236789, 236751, 2264, 1595, 531, 33205, 1239, 62606, 1699, 506, 2487, 6436, 236881, 1701, 5705, 236764, 1451, 692, 1161, 506, 3161, 236779, 5930, 5904, 607, 496, 3224, 1698, 699, 1239, 12669, 531, 8430, 910, 2299, 62606, 236881, 564, 735, 496, 8178, 506, 1458, 2473, 22480, 3211, 607, 1239, 4402, 1343, 910, 28436, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 500, 4338, 600, 506, 2165, 18999, 236779, 5930, 236929, 5904, 1451, 14846, 16913, 2299, 236786, 10618, 62606, 528, 1061, 28436, 3072, 236761, 5978, 506, 5904, 236789, 236751, 13049, 4038, 236789, 236745, 25010, 1883, 625, 7623, 1698, 2299, 25493, 236764, 103156, 3211, 3187, 3014, 8038, 236786, 125405, 1938, 528, 910, 9299, 13630, 236761, 3792, 236789, 236751, 1594, 672, 4313, 236761, 108, 9366, 2847, 236787, 107, 236770, 236761, 562, 3530, 5213, 5930, 6060, 1018, 568, 6738, 56234, 236768, 573, 496, 3224, 1610, 6429, 4188, 568, 236744, 236761, 236759, 1126, 623, 137802, 236772, 33277, 236772, 1025, 1373, 107, 236778, 236761, 562, 3530, 1698, 6060, 573, 496, 8351, 2904, 236786, 236759, 700, 2576, 31831, 4188, 568, 236744, 236761, 236759, 1126, 623, 45437, 236772, 66111, 236772, 43415, 1373, 108, 236777, 236789, 859, 1161, 2165, 18999, 236779, 5930, 236929, 580, 1239, 531, 2426, 768, 901, 3014, 8038, 62606, 653, 1698, 2299, 28436, 528, 910, 3072, 236761, 1637, 6595, 236764, 692, 740, 8430, 506, 3149, 62606, 699, 993, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 2847, 1156, 1698, 19171, 699, 1041, 3577, 5249, 600, 1374, 981, 573, 672, 5708, 236787, 236743, 236770, 236761, 4585, 14767, 236787, 623, 149996, 236772, 45493, 236772, 14303, 236772, 119884, 236775, 568, 236746, 13671, 12002, 5500, 564, 1161, 573, 1041, 41372, 3799, 236772, 52728, 25687, 236768, 236743, 236778, 236761, 30409, 2904, 236787, 623, 43081, 236772, 66111, 236772, 43415, 236772, 1025, 236775, 568, 236746, 12139, 8103, 21171, 1076, 564, 18039, 580, 573, 17373, 1609, 236744, 1844, 42651, 5025, 44517, 236768, 3792, 236858, 236751, 18840, 1239, 3211, 236858, 28436, 531, 53144, 910, 15605, 1698, 2299, 62606, 236761, 564, 15690, 506, 12002, 28809, 795, 16913, 62606, 4596, 531, 1800, 623, 104309, 14767, 236775, 532, 623, 1005, 755, 5417, 236775, 4402, 236764, 1651, 506, 22637, 61316, 2473, 3205, 531, 623, 45437, 8351, 6436, 236775, 532, 623, 8424, 83939, 236775, 4402, 236761, 1174, 1451, 1601, 4187, 17934, 62769, 1534, 25075, 532, 50353, 6429, 21896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 100415, 45190, 42976, 74144, 827, 623, 7777, 1083, 623, 107332, 83691, 236772, 9619, 12002, 28809, 5402, 573, 5707, 11421, 236761, 25772, 236743, 236770, 236771, 236771, 236908, 14538, 29989, 12002, 607, 4920, 236772, 6796, 15149, 236764, 7436, 573, 4446, 532, 35740, 11710, 236761, 18326, 528, 5065, 64034, 532, 25565, 10498, 623, 105621, 1083, 78493, 11455, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 9707, 1083, 623, 236828, 236819, 236761, 236819, 236819, 827, 623, 46589, 236779, 22111, 1083, 236743, 236770, 236810, 236771, 236764, 623, 8194, 1083, 3714, 3038, 1083, 623, 236812, 236828, 8455, 1123, 236743, 236770, 236771, 2274, 127096, 1604, 623, 5930, 236779, 4043, 236779, 2643, 1083, 11058, 104309, 236772, 22102, 8135, 827, 623, 1005, 755, 236772, 80234, 14255, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 7655, 14517, 1083, 3714, 12697, 236779, 5930, 236779, 19243, 1083, 11058, 104309, 236772, 22102, 8135, 827, 623, 1005, 755, 236772, 80234, 14255, 623, 71703, 236779, 10864, 236779, 10618, 1083, 623, 661, 3316, 236772, 80234, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 68428, 37727, 113246, 5833, 753, 236743, 236832, 70147, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 4974, 69928, 12139, 8103, 21171, 1076, 18482, 614, 236743, 236828, 236772, 14490, 22637, 236789, 236751, 21171, 236764, 236743, 236825, 236772, 14490, 14955, 21171, 236764, 236743, 236800, 236761, 236810, 236772, 14490, 944, 522, 21171, 236764, 162487, 12453, 236764, 188307, 236764, 532, 1156, 13671, 2615, 236745, 50888, 236761, 49308, 104048, 52390, 14770, 19171, 532, 8521, 6310, 3355, 236761, 7303, 4402, 236787, 5707, 8351, 6436, 236764, 101116, 10498, 623, 105621, 1083, 78493, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 21108, 19767, 827, 623, 9707, 1083, 6610, 236770, 236819, 236819, 236761, 236819, 236819, 827, 623, 46589, 236779, 22111, 1083, 236743, 236810, 236771, 104960, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 5930, 236779, 2084, 1083, 623, 56753, 30409, 25373, 827, 623, 19112, 1083, 11058, 8424, 83939, 827, 623, 53187, 8103, 827, 623, 93420, 52047, 99471, 106, 107, 105, 4368, 107, 818, 1698, 28436, 21577, 506, 5213, 2383, 104026, 1018, 573, 506, 1698, 4402, 236764, 840, 506, 2165, 5930, 236779, 19243, 236779, 2234, 236929, 5904, 7087, 5213, 20404, 62606, 1018, 568, 16469, 9964, 236768, 573, 2165, 5930, 133104, 693, 996, 547, 236929, 532, 2165, 5432, 5930, 4043, 547, 21233, 5715, 236789, 236751, 1144, 692, 1765, 236787, 108, 7243, 108, 10354, 5213, 9175, 77245, 568, 27574, 74144, 62902, 107, 236772, 5213, 7163, 41534, 66515, 138, 107, 138, 236929, 236775, 104309, 236772, 22102, 8135, 236775, 8347, 211661, 1005, 755, 236772, 80234, 34841, 138, 107, 236772, 5213, 58142, 35211, 23223, 66515, 138, 107, 138, 236929, 236775, 661, 3316, 236772, 80234, 34841, 138, 108, 10354, 5213, 100399, 2904, 568, 85809, 113246, 5833, 62902, 107, 236772, 5213, 7163, 41534, 66515, 138, 107, 138, 236929, 236775, 45437, 236772, 93420, 236772, 18220, 236775, 8347, 211661, 8424, 83939, 34841, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 35155, 236764, 506, 2487, 6436, 3914, 5467, 7352, 1239, 2483, 104026, 1131, 40155, 62606, 236761, 2282, 1161, 2165, 5930, 236779, 19243, 236779, 2234, 8347, 611, 1093, 1202, 531, 236787, 107, 236770, 236761, 5213, 11942, 6145, 1458, 56369, 1018, 568, 236744, 236761, 236759, 1126, 7948, 653, 9299, 13049, 236768, 531, 1586, 506, 40155, 62606, 7041, 531, 1239, 2483, 5618, 236761, 138, 107, 236778, 236761, 5213, 11431, 506, 5058, 30373, 1018, 573, 506, 40155, 62606, 19240, 531, 236787, 138, 107, 139, 236772, 2165, 5930, 133104, 693, 996, 547, 236929, 568, 236744, 236761, 236759, 1126, 623, 104309, 236772, 22102, 8135, 236775, 16130, 5853, 2165, 236770, 236778, 236800, 236812, 18833, 138, 107, 139, 236772, 2165, 5432, 5930, 4043, 547, 236929, 568, 236744, 236761, 236759, 1126, 623, 45437, 236772, 93420, 236772, 18220, 236775, 16130, 5853, 2165, 236810, 236825, 236832, 236828, 59395, 138, 108, 7243, 108, 10354, 5213, 191132, 76374, 1018, 107, 818, 28436, 12205, 496, 3582, 25000, 1534, 1698, 4402, 532, 6429, 21896, 236787, 107, 236772, 5213, 9175, 77245, 1018, 659, 74252, 1208, 5213, 236775, 661, 3316, 236772, 80234, 236775, 125546, 837, 1451, 62991, 73476, 573, 5417, 1133, 176632, 236764, 42145, 236764, 532, 57228, 236761, 138, 107, 236772, 5213, 85809, 25373, 1018, 3798, 1208, 5213, 236775, 45437, 236772, 93420, 236772, 18220, 236775, 125546, 17674, 496, 3213, 580, 39601, 532, 6635, 236772, 9619, 5842, 236761, 138, 108, 2859, 611, 740, 3011, 506, 40155, 62606, 236764, 692, 1451, 3342, 18840, 1217, 1239, 4402, 33647, 607, 18241, 3997, 236764, 27313, 12230, 236764, 653, 33972, 62769, 236761, 21284, 611, 1133, 531, 59638, 672, 4313, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 8729, 614, 43189, 1548, 573, 1041, 4803, 7972, 6429, 7408, 699, 45287, 168743, 103215, 236764, 532, 1299, 16807, 910, 1960, 3421, 1699, 910, 1977, 1123, 547, 756, 236832, 236828, 236819, 236771, 236770, 6748, 7323, 1161, 506, 8729, 236779, 53209, 236779, 5640, 5904, 1171, 236764, 1299, 506, 1977, 236779, 15921, 5904, 607, 1123, 547, 756, 236832, 236828, 236819, 236771, 236770, 236789, 531, 9128, 506, 3421, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53209, 236779, 5640, 1083, 623, 6270, 236797, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236770, 236778, 236800, 236812, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 177285, 168743, 103215, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 45287, 17463, 236764, 31797, 236764, 45108, 236743, 236828, 236810, 236771, 236771, 236812, 827, 623, 13319, 1083, 623, 103699, 827, 623, 3255, 1083, 623, 121789, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 157350, 236779, 3970, 1083, 623, 236828, 236810, 236771, 236771, 236812, 827, 623, 236781, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 827, 623, 37673, 1083, 236743, 236800, 236800, 236761, 236812, 236812, 236828, 236812, 236764, 623, 41713, 1083, 753, 236770, 236770, 236778, 236761, 236771, 236832, 236812, 236764, 623, 87622, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 573, 822, 2864, 236787, 108, 236770, 236761, 5213, 46603, 115989, 9661, 66515, 138, 107, 139, 236929, 6270, 236797, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236770, 236778, 236800, 236812, 236929, 108, 236778, 236761, 5213, 114895, 7449, 15874, 573, 45287, 168743, 103215, 568, 236781, 547, 236787, 236743, 236832, 236828, 236819, 236771, 236770, 62902, 236787, 138, 107, 139, 236772, 5213, 9604, 66515, 236743, 236770, 236778, 236800, 45287, 17463, 138, 107, 139, 236772, 5213, 17698, 66515, 31797, 138, 107, 139, 236772, 5213, 3112, 66515, 20615, 138, 107, 139, 236772, 5213, 128116, 8739, 66515, 236743, 236828, 236810, 236771, 236771, 236812, 138, 107, 139, 236772, 5213, 27969, 66515, 3640, 4184, 138, 107, 139, 236772, 5213, 58713, 66515, 165356, 236743, 236800, 236800, 236761, 236812, 236812, 236828, 236812, 236764, 8099, 4637, 753, 236770, 236770, 236778, 236761, 236771, 236832, 236812, 236771, 138, 107, 139, 236772, 5213, 6717, 66515, 128731, 113452, 138, 108, 818, 3421, 4889, 4241, 506, 4275, 1960, 4563, 573, 45287, 168743, 103215, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 8729, 614, 43189, 1548, 573, 1041, 4803, 7972, 6429, 7408, 699, 45287, 168743, 103215, 236764, 532, 1299, 16807, 910, 1960, 3421, 1699, 910, 1977, 1123, 547, 756, 236832, 236828, 236819, 236771, 236770, 6748, 7323, 1161, 506, 8729, 236779, 53209, 236779, 5640, 5904, 1171, 236764, 1299, 506, 1977, 236779, 15921, 5904, 607, 1123, 547, 756, 236832, 236828, 236819, 236771, 236770, 236789, 531, 9128, 506, 3421, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53209, 236779, 5640, 1083, 623, 6270, 236797, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236770, 236778, 236800, 236812, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 177285, 168743, 103215, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 45287, 17463, 236764, 31797, 236764, 45108, 236743, 236828, 236810, 236771, 236771, 236812, 827, 623, 13319, 1083, 623, 103699, 827, 623, 3255, 1083, 623, 121789, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 157350, 236779, 3970, 1083, 623, 236828, 236810, 236771, 236771, 236812, 827, 623, 236781, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 827, 623, 37673, 1083, 236743, 236800, 236800, 236761, 236812, 236812, 236828, 236812, 236764, 623, 41713, 1083, 753, 236770, 236770, 236778, 236761, 236771, 236832, 236812, 236764, 623, 87622, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 573, 822, 2864, 236787, 108, 236770, 236761, 5213, 46603, 115989, 9661, 66515, 138, 107, 139, 236929, 6270, 236797, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236770, 236778, 236800, 236812, 236929, 108, 236778, 236761, 5213, 114895, 7449, 15874, 573, 45287, 168743, 103215, 568, 236781, 547, 236787, 236743, 236832, 236828, 236819, 236771, 236770, 62902, 236787, 138, 107, 139, 236772, 5213, 9604, 66515, 236743, 236770, 236778, 236800, 45287, 17463, 138, 107, 139, 236772, 5213, 17698, 66515, 31797, 138, 107, 139, 236772, 5213, 3112, 66515, 20615, 138, 107, 139, 236772, 5213, 128116, 8739, 66515, 236743, 236828, 236810, 236771, 236771, 236812, 138, 107, 139, 236772, 5213, 27969, 66515, 3640, 4184, 138, 107, 139, 236772, 5213, 58713, 66515, 165356, 236743, 236800, 236800, 236761, 236812, 236812, 236828, 236812, 236764, 8099, 4637, 753, 236770, 236770, 236778, 236761, 236771, 236832, 236812, 236771, 138, 107, 139, 236772, 5213, 6717, 66515, 128731, 113452, 138, 108, 818, 3421, 4889, 4241, 506, 4275, 1960, 4563, 573, 45287, 168743, 103215, 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, 6845, 506, 2862, 2436, 573, 5431, 4699, 528, 506, 2590, 236761, 564, 236789, 560, 1010, 33069, 47290, 573, 236743, 236812, 236771, 1518, 236764, 840, 1041, 20130, 3055, 236789, 236751, 19240, 872, 528, 672, 7095, 236761, 19704, 531, 1281, 768, 1724, 1494, 236772, 20128, 50067, 528, 42112, 659, 2036, 496, 6338, 1146, 653, 768, 564, 1374, 8633, 48181, 1680, 564, 13098, 872, 1041, 163606, 535, 573, 1535, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 2662, 1083, 623, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 25093, 236772, 16295, 827, 623, 4002, 236779, 2394, 1083, 236743, 236812, 236778, 236828, 236810, 236761, 236800, 236778, 236764, 623, 4177, 236779, 18223, 1083, 753, 236771, 236761, 236812, 236810, 236764, 623, 16350, 236779, 4818, 1083, 623, 5265, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 57512, 236779, 32677, 1083, 3714, 21692, 236779, 80234, 1083, 3714, 2662, 236779, 2394, 1083, 236743, 236778, 236828, 236819, 236761, 236832, 236770, 236764, 623, 4177, 236779, 18223, 1083, 753, 236770, 236761, 236778, 236778, 5237, 623, 131770, 236779, 20845, 1083, 623, 236800, 236761, 236778, 7889, 12085, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2862, 2436, 1262, 3831, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 25093, 236772, 16295, 3546, 563, 12376, 657, 236743, 236812, 236764, 236778, 236828, 236810, 236761, 236800, 236778, 15554, 236771, 236761, 236812, 236810, 28585, 607, 506, 5431, 5417, 7095, 1679, 236743, 236770, 236761, 236778, 236778, 236908, 3124, 236761, 1174, 12205, 22702, 528, 5431, 236772, 10619, 105222, 236764, 2440, 3435, 10885, 531, 42112, 236789, 236751, 1494, 236772, 20128, 50067, 236761, 5978, 506, 25898, 2436, 7474, 1932, 607, 7644, 12376, 5542, 568, 236800, 236761, 236778, 7889, 12085, 779, 506, 7095, 236789, 236751, 1208, 32677, 1451, 10128, 4869, 4652, 573, 25020, 10681, 236761, 108, 2542, 20130, 6995, 236764, 1966, 236787, 107, 236770, 236761, 9352, 522, 15771, 25519, 531, 5571, 1024, 40791, 531, 496, 3161, 7095, 107, 236778, 236761, 165339, 30627, 236772, 106094, 5431, 14601, 573, 7094, 11646, 107, 236800, 236761, 98717, 77557, 1131, 18597, 6807, 6658, 6332, 108, 38786, 611, 1133, 786, 531, 2426, 8330, 25268, 573, 3530, 5431, 18300, 611, 2473, 2768, 236881, 562, 4867, 39031, 1451, 992, 1601, 49523, 496, 7545, 32769, 607, 822, 20130, 34315, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1385, 657, 152609, 26810, 568, 236847, 11448, 236768, 532, 11393, 189353, 568, 3620, 236792, 769, 3551, 25065, 3055, 236789, 236751, 2506, 496, 27897, 528, 1724, 1156, 236761, 73463, 7046, 2338, 506, 1774, 11132, 31111, 236764, 840, 607, 672, 7095, 12372, 236764, 564, 1202, 531, 1460, 768, 901, 236789, 500, 2036, 5367, 10264, 653, 768, 564, 1374, 3463, 20034, 1680, 564, 33107, 236761, 7179, 910, 8330, 25268, 753, 6049, 52916, 236764, 171698, 236764, 9002, 14139, 611, 236789, 560, 2506, 236761, 3551, 53276, 1015, 236789, 236751, 496, 935, 80300, 3189, 782, 11448, 236789, 236751, 1010, 129918, 236764, 840, 564, 1461, 2651, 4945, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236847, 11448, 827, 623, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 236743, 236770, 236812, 236810, 236761, 236800, 236764, 623, 236778, 236771, 236771, 236779, 1496, 1083, 236743, 236770, 236812, 236771, 236761, 236828, 1263, 623, 212483, 1083, 236743, 236810, 236828, 236761, 236800, 236764, 623, 202203, 1083, 3714, 1257, 1083, 236743, 236778, 236761, 236770, 236764, 623, 33786, 1083, 236743, 236770, 236761, 236810, 1263, 623, 131770, 236779, 33786, 1083, 623, 20809, 753, 14063, 236772, 6061, 14700, 4414, 840, 1440, 236772, 6061, 7003, 12298, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 3620, 236792, 827, 623, 79205, 236779, 28263, 1083, 3714, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 236743, 236810, 236778, 236761, 236812, 236810, 236764, 623, 236778, 236771, 236771, 236779, 1496, 1083, 236743, 236810, 236828, 236761, 236800, 236778, 236764, 623, 33786, 1083, 623, 44878, 1044, 565, 41021, 23179, 623, 212483, 1083, 3714, 2394, 1083, 236743, 236810, 236828, 236761, 236832, 236764, 623, 132094, 1083, 623, 20809, 161861, 23179, 623, 202203, 1083, 3714, 1257, 1083, 753, 236770, 236761, 236778, 236800, 236764, 623, 33786, 236779, 1257, 1083, 753, 236771, 236761, 236828, 236832, 236764, 623, 82555, 1083, 753, 236771, 236761, 236800, 236825, 236764, 623, 33786, 1083, 623, 63702, 102637, 12279, 23179, 623, 20845, 1083, 3714, 4002, 1083, 236743, 236770, 236761, 236778, 236832, 236764, 623, 28128, 1083, 236743, 236770, 236761, 236770, 236810, 236764, 623, 6805, 1083, 623, 35205, 12085, 23179, 623, 2478, 236779, 66846, 1083, 3714, 9442, 1083, 236743, 236812, 236819, 236761, 236828, 236810, 236764, 623, 82033, 1083, 236743, 236810, 236825, 236761, 236770, 1263, 623, 85038, 567, 1083, 3714, 2064, 1083, 623, 66639, 827, 623, 58578, 236779, 8318, 1083, 236743, 236825, 236828, 236764, 623, 13486, 835, 1083, 623, 23395, 236772, 6061, 22702, 5773, 840, 1440, 236772, 6061, 52669, 4595, 32990, 236761, 14066, 11734, 5542, 57952, 3541, 609, 236812, 236819, 236761, 236828, 236810, 1894, 1984, 1781, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 8330, 3671, 573, 1800, 54561, 618, 529, 3124, 236787, 108, 1018, 234545, 4881, 26810, 568, 236847, 11448, 1473, 1018, 107, 236772, 5213, 38793, 562, 42511, 53121, 236743, 236810, 236771, 236772, 1496, 6131, 236770, 236812, 236810, 236761, 236800, 236771, 236768, 2787, 236743, 236778, 236771, 236771, 236772, 1496, 6131, 236770, 236812, 236771, 236761, 236828, 236771, 236768, 12205, 2822, 236772, 6061, 82838, 14700, 107, 236772, 5213, 236794, 5491, 53121, 236743, 236810, 236828, 236761, 236800, 568, 45258, 14700, 236764, 951, 1024, 109158, 236786, 34106, 947, 73915, 236768, 107, 236772, 5213, 77419, 236796, 53121, 44771, 48053, 568, 236778, 236761, 236770, 1890, 236743, 236770, 236761, 236810, 6953, 1757, 236768, 11387, 4803, 31097, 14700, 107, 236772, 5213, 53159, 53121, 77092, 753, 22202, 236751, 1407, 2822, 236772, 6061, 6332, 840, 6220, 26093, 529, 23226, 7003, 108, 1018, 44691, 189353, 568, 3620, 236792, 1473, 1018, 107, 236772, 5213, 38793, 562, 42511, 53121, 31232, 1044, 48053, 568, 236810, 236771, 236772, 1496, 609, 236810, 236778, 236761, 236812, 236810, 655, 236743, 236778, 236771, 236771, 236772, 1496, 609, 236810, 236828, 236761, 236800, 236778, 236768, 107, 236772, 5213, 236794, 5491, 53121, 236743, 236810, 236828, 236761, 236832, 568, 32596, 12643, 6013, 618, 782, 11448, 236768, 107, 236772, 5213, 77419, 236796, 53121, 57647, 53326, 15554, 236770, 236761, 236778, 236800, 1757, 655, 753, 236771, 236761, 236828, 236832, 6953, 1757, 236768, 14139, 87629, 14700, 107, 236772, 5213, 16400, 16575, 53121, 609, 236812, 236819, 236761, 236828, 236810, 568, 7284, 3426, 1451, 36384, 62336, 236768, 107, 236772, 5213, 53159, 53121, 21007, 568, 236825, 236828, 236908, 10805, 6317, 236768, 753, 14063, 236772, 6061, 22702, 840, 52669, 2036, 10385, 108, 3503, 24481, 573, 822, 20130, 15771, 236787, 107, 236770, 236761, 5213, 184556, 2540, 53121, 10508, 18300, 1407, 9726, 8330, 14139, 236764, 607, 171957, 657, 5314, 4652, 529, 19276, 19830, 107, 236778, 236761, 5213, 100651, 53121, 782, 11448, 236789, 236751, 8330, 2939, 7412, 8427, 15281, 2822, 236772, 6061, 236764, 840, 13637, 3831, 33348, 3717, 14139, 107, 236800, 236761, 5213, 71398, 8813, 53121, 14066, 22516, 4721, 236772, 10558, 10400, 3541, 171957, 236789, 236751, 609, 236812, 236819, 236761, 236828, 236810, 1894, 1984, 768, 7046, 107, 236812, 236761, 5213, 39463, 103057, 53121, 60980, 2846, 568, 25142, 1774, 11132, 31111, 236768, 1149, 4208, 5279, 22656, 4269, 108, 26479, 822, 20130, 34315, 236764, 611, 2473, 1966, 236787, 107, 236772, 156785, 13471, 10885, 768, 1239, 2754, 1890, 236770, 236771, 236908, 529, 822, 15771, 107, 236772, 98717, 30627, 236772, 106094, 24277, 528, 919, 51687, 18597, 107, 236772, 49501, 496, 11317, 236772, 8960, 4867, 47405, 531, 5608, 2558, 15771, 4652, 108, 38786, 611, 1133, 786, 531, 2426, 30627, 15741, 653, 11001, 19455, 573, 1239, 4699, 618, 1388, 236881, 106, 107, 105, 2364, 107, 6845, 30627, 15741, 532, 11001, 19455, 573, 782, 11448, 532, 171957, 1699, 506, 2862, 2436, 1262, 5904, 236761, 19704, 531, 1281, 768, 1239, 4699, 659, 2036, 20150, 16932, 8216, 2727, 531, 1894, 40732, 1343, 2436, 111119, 236761, 30235, 580, 593, 236786, 236788, 24781, 236764, 10471, 3877, 15067, 236764, 532, 8479, 236772, 1071, 236772, 154044, 33772, 753, 1724, 3442, 786, 768, 901, 236789, 500, 5284, 531, 1774, 1133, 506, 10810, 11595, 564, 6267, 653, 768, 901, 236789, 500, 1164, 37793, 11802, 9495, 531, 11890, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 5633, 735, 2802, 531, 6436, 600, 33205, 30627, 6422, 1262, 653, 11001, 19455, 568, 236791, 236786, 236788, 24781, 236764, 8479, 236772, 1071, 236772, 154044, 236764, 10471, 3877, 236768, 573, 3530, 18300, 236761, 3551, 15858, 659, 5809, 531, 506, 8330, 3671, 532, 2436, 1262, 6436, 3505, 528, 506, 5904, 1694, 2787, 236761, 108, 2542, 672, 11001, 3671, 236764, 564, 5840, 236787, 107, 236770, 236761, 81573, 4867, 14175, 1133, 33299, 7991, 236764, 58290, 236764, 653, 55947, 19666, 573, 9813, 2544, 52669, 107, 236778, 236761, 9352, 522, 506, 4699, 236789, 29311, 3381, 7704, 568, 236847, 11448, 236761, 854, 236786, 140082, 236764, 171957, 236761, 854, 236786, 165531, 236772, 49408, 236768, 107, 236800, 236761, 49501, 607, 496, 11317, 236772, 8960, 4867, 39031, 1015, 740, 2802, 13611, 2958, 6436, 108, 38786, 611, 1133, 786, 531, 1601, 10151, 1027, 8330, 3671, 1262, 653, 2436, 15067, 573, 1239, 18300, 5205, 236881, 2408, 8229, 3249, 7095, 236772, 5909, 13682, 13668, 5431, 5417, 4699, 528, 236743, 236778, 236771, 236778, 236810, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 506, 2862, 2436, 573, 5431, 4699, 528, 506, 2590, 236761, 564, 236789, 560, 1010, 33069, 47290, 573, 236743, 236812, 236771, 1518, 236764, 840, 1041, 20130, 3055, 236789, 236751, 19240, 872, 528, 672, 7095, 236761, 19704, 531, 1281, 768, 1724, 1494, 236772, 20128, 50067, 528, 42112, 659, 2036, 496, 6338, 1146, 653, 768, 564, 1374, 8633, 48181, 1680, 564, 13098, 872, 1041, 163606, 535, 573, 1535, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 16350, 236779, 2662, 1083, 623, 236773, 236880, 236791, 236743, 236810, 236771, 236771, 25093, 236772, 16295, 827, 623, 4002, 236779, 2394, 1083, 236743, 236812, 236778, 236828, 236810, 236761, 236800, 236778, 236764, 623, 4177, 236779, 18223, 1083, 753, 236771, 236761, 236812, 236810, 236764, 623, 16350, 236779, 4818, 1083, 623, 5265, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 57512, 236779, 32677, 1083, 3714, 21692, 236779, 80234, 1083, 3714, 2662, 236779, 2394, 1083, 236743, 236778, 236828, 236819, 236761, 236832, 236770, 236764, 623, 4177, 236779, 18223, 1083, 753, 236770, 236761, 236778, 236778, 5237, 623, 131770, 236779, 20845, 1083, 623, 236800, 236761, 236778, 7889, 12085, 25938, 106, 107, 105, 4368, 107, 818, 1873, 2862, 2436, 1262, 3831, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 25093, 236772, 16295, 3546, 563, 12376, 657, 236743, 236812, 236764, 236778, 236828, 236810, 236761, 236800, 236778, 15554, 236771, 236761, 236812, 236810, 28585, 607, 506, 5431, 5417, 7095, 1679, 236743, 236770, 236761, 236778, 236778, 236908, 3124, 236761, 1174, 12205, 22702, 528, 5431, 236772, 10619, 105222, 236764, 2440, 3435, 10885, 531, 42112, 236789, 236751, 1494, 236772, 20128, 50067, 236761, 5978, 506, 25898, 2436, 7474, 1932, 607, 7644, 12376, 5542, 568, 236800, 236761, 236778, 7889, 12085, 779, 506, 7095, 236789, 236751, 1208, 32677, 1451, 10128, 4869, 4652, 573, 25020, 10681, 236761, 108, 2542, 20130, 6995, 236764, 1966, 236787, 107, 236770, 236761, 9352, 522, 15771, 25519, 531, 5571, 1024, 40791, 531, 496, 3161, 7095, 107, 236778, 236761, 165339, 30627, 236772, 106094, 5431, 14601, 573, 7094, 11646, 107, 236800, 236761, 98717, 77557, 1131, 18597, 6807, 6658, 6332, 108, 38786, 611, 1133, 786, 531, 2426, 8330, 25268, 573, 3530, 5431, 18300, 611, 2473, 2768, 236881, 562, 4867, 39031, 1451, 992, 1601, 49523, 496, 7545, 32769, 607, 822, 20130, 34315, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1385, 657, 152609, 26810, 568, 236847, 11448, 236768, 532, 11393, 189353, 568, 3620, 236792, 769, 3551, 25065, 3055, 236789, 236751, 2506, 496, 27897, 528, 1724, 1156, 236761, 73463, 7046, 2338, 506, 1774, 11132, 31111, 236764, 840, 607, 672, 7095, 12372, 236764, 564, 1202, 531, 1460, 768, 901, 236789, 500, 2036, 5367, 10264, 653, 768, 564, 1374, 3463, 20034, 1680, 564, 33107, 236761, 7179, 910, 8330, 25268, 753, 6049, 52916, 236764, 171698, 236764, 9002, 14139, 611, 236789, 560, 2506, 236761, 3551, 53276, 1015, 236789, 236751, 496, 935, 80300, 3189, 782, 11448, 236789, 236751, 1010, 129918, 236764, 840, 564, 1461, 2651, 4945, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236847, 11448, 827, 623, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 236743, 236770, 236812, 236810, 236761, 236800, 236764, 623, 236778, 236771, 236771, 236779, 1496, 1083, 236743, 236770, 236812, 236771, 236761, 236828, 1263, 623, 212483, 1083, 236743, 236810, 236828, 236761, 236800, 236764, 623, 202203, 1083, 3714, 1257, 1083, 236743, 236778, 236761, 236770, 236764, 623, 33786, 1083, 236743, 236770, 236761, 236810, 1263, 623, 131770, 236779, 33786, 1083, 623, 20809, 753, 14063, 236772, 6061, 14700, 4414, 840, 1440, 236772, 6061, 7003, 12298, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 3620, 236792, 827, 623, 79205, 236779, 28263, 1083, 3714, 41831, 236779, 20229, 1283, 1083, 3714, 236810, 236771, 236779, 1496, 1083, 236743, 236810, 236778, 236761, 236812, 236810, 236764, 623, 236778, 236771, 236771, 236779, 1496, 1083, 236743, 236810, 236828, 236761, 236800, 236778, 236764, 623, 33786, 1083, 623, 44878, 1044, 565, 41021, 23179, 623, 212483, 1083, 3714, 2394, 1083, 236743, 236810, 236828, 236761, 236832, 236764, 623, 132094, 1083, 623, 20809, 161861, 23179, 623, 202203, 1083, 3714, 1257, 1083, 753, 236770, 236761, 236778, 236800, 236764, 623, 33786, 236779, 1257, 1083, 753, 236771, 236761, 236828, 236832, 236764, 623, 82555, 1083, 753, 236771, 236761, 236800, 236825, 236764, 623, 33786, 1083, 623, 63702, 102637, 12279, 23179, 623, 20845, 1083, 3714, 4002, 1083, 236743, 236770, 236761, 236778, 236832, 236764, 623, 28128, 1083, 236743, 236770, 236761, 236770, 236810, 236764, 623, 6805, 1083, 623, 35205, 12085, 23179, 623, 2478, 236779, 66846, 1083, 3714, 9442, 1083, 236743, 236812, 236819, 236761, 236828, 236810, 236764, 623, 82033, 1083, 236743, 236810, 236825, 236761, 236770, 1263, 623, 85038, 567, 1083, 3714, 2064, 1083, 623, 66639, 827, 623, 58578, 236779, 8318, 1083, 236743, 236825, 236828, 236764, 623, 13486, 835, 1083, 623, 23395, 236772, 6061, 22702, 5773, 840, 1440, 236772, 6061, 52669, 4595, 32990, 236761, 14066, 11734, 5542, 57952, 3541, 609, 236812, 236819, 236761, 236828, 236810, 1894, 1984, 1781, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 8330, 3671, 573, 1800, 54561, 618, 529, 3124, 236787, 108, 1018, 234545, 4881, 26810, 568, 236847, 11448, 1473, 1018, 107, 236772, 5213, 38793, 562, 42511, 53121, 236743, 236810, 236771, 236772, 1496, 6131, 236770, 236812, 236810, 236761, 236800, 236771, 236768, 2787, 236743, 236778, 236771, 236771, 236772, 1496, 6131, 236770, 236812, 236771, 236761, 236828, 236771, 236768, 12205, 2822, 236772, 6061, 82838, 14700, 107, 236772, 5213, 236794, 5491, 53121, 236743, 236810, 236828, 236761, 236800, 568, 45258, 14700, 236764, 951, 1024, 109158, 236786, 34106, 947, 73915, 236768, 107, 236772, 5213, 77419, 236796, 53121, 44771, 48053, 568, 236778, 236761, 236770, 1890, 236743, 236770, 236761, 236810, 6953, 1757, 236768, 11387, 4803, 31097, 14700, 107, 236772, 5213, 53159, 53121, 77092, 753, 22202, 236751, 1407, 2822, 236772, 6061, 6332, 840, 6220, 26093, 529, 23226, 7003, 108, 1018, 44691, 189353, 568, 3620, 236792, 1473, 1018, 107, 236772, 5213, 38793, 562, 42511, 53121, 31232, 1044, 48053, 568, 236810, 236771, 236772, 1496, 609, 236810, 236778, 236761, 236812, 236810, 655, 236743, 236778, 236771, 236771, 236772, 1496, 609, 236810, 236828, 236761, 236800, 236778, 236768, 107, 236772, 5213, 236794, 5491, 53121, 236743, 236810, 236828, 236761, 236832, 568, 32596, 12643, 6013, 618, 782, 11448, 236768, 107, 236772, 5213, 77419, 236796, 53121, 57647, 53326, 15554, 236770, 236761, 236778, 236800, 1757, 655, 753, 236771, 236761, 236828, 236832, 6953, 1757, 236768, 14139, 87629, 14700, 107, 236772, 5213, 16400, 16575, 53121, 609, 236812, 236819, 236761, 236828, 236810, 568, 7284, 3426, 1451, 36384, 62336, 236768, 107, 236772, 5213, 53159, 53121, 21007, 568, 236825, 236828, 236908, 10805, 6317, 236768, 753, 14063, 236772, 6061, 22702, 840, 52669, 2036, 10385, 108, 3503, 24481, 573, 822, 20130, 15771, 236787, 107, 236770, 236761, 5213, 184556, 2540, 53121, 10508, 18300, 1407, 9726, 8330, 14139, 236764, 607, 171957, 657, 5314, 4652, 529, 19276, 19830, 107, 236778, 236761, 5213, 100651, 53121, 782, 11448, 236789, 236751, 8330, 2939, 7412, 8427, 15281, 2822, 236772, 6061, 236764, 840, 13637, 3831, 33348, 3717, 14139, 107, 236800, 236761, 5213, 71398, 8813, 53121, 14066, 22516, 4721, 236772, 10558, 10400, 3541, 171957, 236789, 236751, 609, 236812, 236819, 236761, 236828, 236810, 1894, 1984, 768, 7046, 107, 236812, 236761, 5213, 39463, 103057, 53121, 60980, 2846, 568, 25142, 1774, 11132, 31111, 236768, 1149, 4208, 5279, 22656, 4269, 108, 26479, 822, 20130, 34315, 236764, 611, 2473, 1966, 236787, 107, 236772, 156785, 13471, 10885, 768, 1239, 2754, 1890, 236770, 236771, 236908, 529, 822, 15771, 107, 236772, 98717, 30627, 236772, 106094, 24277, 528, 919, 51687, 18597, 107, 236772, 49501, 496, 11317, 236772, 8960, 4867, 47405, 531, 5608, 2558, 15771, 4652, 108, 38786, 611, 1133, 786, 531, 2426, 30627, 15741, 653, 11001, 19455, 573, 1239, 4699, 618, 1388, 236881, 106, 107, 105, 2364, 107, 6845, 30627, 15741, 532, 11001, 19455, 573, 782, 11448, 532, 171957, 1699, 506, 2862, 2436, 1262, 5904, 236761, 19704, 531, 1281, 768, 1239, 4699, 659, 2036, 20150, 16932, 8216, 2727, 531, 1894, 40732, 1343, 2436, 111119, 236761, 30235, 580, 593, 236786, 236788, 24781, 236764, 10471, 3877, 15067, 236764, 532, 8479, 236772, 1071, 236772, 154044, 33772, 753, 1724, 3442, 786, 768, 901, 236789, 500, 5284, 531, 1774, 1133, 506, 10810, 11595, 564, 6267, 653, 768, 901, 236789, 500, 1164, 37793, 11802, 9495, 531, 11890, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 5633, 735, 2802, 531, 6436, 600, 33205, 30627, 6422, 1262, 653, 11001, 19455, 568, 236791, 236786, 236788, 24781, 236764, 8479, 236772, 1071, 236772, 154044, 236764, 10471, 3877, 236768, 573, 3530, 18300, 236761, 3551, 15858, 659, 5809, 531, 506, 8330, 3671, 532, 2436, 1262, 6436, 3505, 528, 506, 5904, 1694, 2787, 236761, 108, 2542, 672, 11001, 3671, 236764, 564, 5840, 236787, 107, 236770, 236761, 81573, 4867, 14175, 1133, 33299, 7991, 236764, 58290, 236764, 653, 55947, 19666, 573, 9813, 2544, 52669, 107, 236778, 236761, 9352, 522, 506, 4699, 236789, 29311, 3381, 7704, 568, 236847, 11448, 236761, 854, 236786, 140082, 236764, 171957, 236761, 854, 236786, 165531, 236772, 49408, 236768, 107, 236800, 236761, 49501, 607, 496, 11317, 236772, 8960, 4867, 39031, 1015, 740, 2802, 13611, 2958, 6436, 108, 38786, 611, 1133, 786, 531, 1601, 10151, 1027, 8330, 3671, 1262, 653, 2436, 15067, 573, 1239, 18300, 5205, 236881, 2408, 8229, 3249, 7095, 236772, 5909, 13682, 13668, 5431, 5417, 4699, 528, 236743, 236778, 236771, 236778, 236810, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6995, 1041, 2148, 1610, 236772, 68122, 2460, 13696, 684, 213554, 54934, 844, 236789, 236751, 28239, 33448, 236764, 532, 564, 1202, 531, 1586, 1070, 7068, 236772, 83228, 12284, 28188, 1826, 600, 71230, 756, 158333, 26497, 1610, 7085, 564, 5630, 9333, 3361, 4852, 580, 9593, 840, 740, 236789, 236745, 16355, 506, 4453, 30154, 236761, 28344, 611, 3927, 573, 4852, 600, 17794, 213554, 54934, 844, 59491, 607, 6962, 2258, 22095, 568, 1192, 236751, 236764, 226116, 236764, 5268, 71816, 779, 31979, 1208, 609, 236812, 236771, 1546, 236881, 6542, 236764, 5957, 573, 1903, 236772, 7577, 3835, 607, 657, 3198, 236743, 236770, 236771, 236771, 10595, 236761, 7062, 236764, 532, 768, 993, 236789, 236751, 496, 8038, 5957, 600, 27592, 5411, 8351, 2904, 653, 25234, 76366, 236764, 600, 236789, 236753, 577, 4011, 236761, 564, 1461, 1239, 12063, 684, 2148, 2069, 236764, 834, 15830, 563, 2307, 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, 12103, 1083, 78493, 1582, 236779, 3250, 1083, 623, 4255, 2533, 54934, 844, 26135, 66026, 4585, 117724, 1973, 2737, 753, 4855, 236786, 21713, 236786, 51512, 827, 623, 9707, 1083, 236743, 236800, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 5640, 236779, 1340, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236764, 623, 26377, 236779, 20845, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 10618, 1083, 623, 100399, 2904, 827, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236770, 236778, 236800, 236812, 23179, 3714, 1582, 236779, 3250, 1083, 623, 4974, 69928, 213554, 54934, 844, 88970, 77860, 116464, 753, 167132, 19870, 827, 623, 9707, 1083, 236743, 236778, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 16904, 236743, 236810, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 5640, 236779, 1340, 236779, 66850, 1083, 236743, 236819, 236810, 236764, 623, 26377, 236779, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 10618, 1083, 623, 100399, 2904, 827, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236810, 236825, 236832, 236828, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2074, 9707, 1083, 236743, 236812, 236771, 236771, 236771, 236764, 623, 10618, 547, 1083, 623, 93420, 2904, 827, 623, 162433, 1083, 623, 500, 113458, 23179, 623, 1899, 1083, 2303, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 213554, 54934, 844, 236772, 52728, 12284, 28188, 1826, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 4255, 2533, 54934, 844, 26135, 66026, 4585, 117724, 1973, 2737, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236800, 236812, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 161465, 236768, 138, 107, 139, 236772, 5213, 65787, 66515, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236743, 236812, 236761, 236832, 568, 236770, 236778, 236828, 10595, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 167132, 2604, 236786, 22278, 236786, 28975, 33448, 236764, 110057, 1702, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236778, 236761, 5213, 4974, 69928, 213554, 54934, 844, 77860, 116464, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 51164, 66515, 10522, 236743, 236810, 2378, 528, 2862, 568, 40090, 161465, 236768, 138, 107, 139, 236772, 5213, 65787, 66515, 6198, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236743, 236812, 236761, 236810, 568, 236819, 236810, 10595, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 63311, 2258, 10165, 236764, 26497, 1610, 59491, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236810, 236825, 236832, 236828, 236768, 138, 108, 10354, 24118, 236787, 138, 107, 236772, 669, 1171, 5086, 20239, 784, 822, 6035, 568, 9707, 655, 609, 236812, 236771, 236764, 1890, 236770, 236771, 236771, 10595, 236764, 13946, 8341, 769, 138, 107, 236772, 669, 1855, 5086, 563, 8427, 1208, 236743, 236770, 236771, 236771, 10595, 840, 2036, 6112, 25118, 532, 2487, 573, 3823, 8341, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 4889, 573, 496, 3530, 4188, 236881, 236743, 245838, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6995, 1041, 2148, 1610, 236772, 68122, 2460, 13696, 684, 213554, 54934, 844, 236789, 236751, 28239, 33448, 236764, 532, 564, 1202, 531, 1586, 1070, 7068, 236772, 83228, 12284, 28188, 1826, 600, 71230, 756, 158333, 26497, 1610, 7085, 564, 5630, 9333, 3361, 4852, 580, 9593, 840, 740, 236789, 236745, 16355, 506, 4453, 30154, 236761, 28344, 611, 3927, 573, 4852, 600, 17794, 213554, 54934, 844, 59491, 607, 6962, 2258, 22095, 568, 1192, 236751, 236764, 226116, 236764, 5268, 71816, 779, 31979, 1208, 609, 236812, 236771, 1546, 236881, 6542, 236764, 5957, 573, 1903, 236772, 7577, 3835, 607, 657, 3198, 236743, 236770, 236771, 236771, 10595, 236761, 7062, 236764, 532, 768, 993, 236789, 236751, 496, 8038, 5957, 600, 27592, 5411, 8351, 2904, 653, 25234, 76366, 236764, 600, 236789, 236753, 577, 4011, 236761, 564, 1461, 1239, 12063, 684, 2148, 2069, 236764, 834, 15830, 563, 2307, 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, 12103, 1083, 78493, 1582, 236779, 3250, 1083, 623, 4255, 2533, 54934, 844, 26135, 66026, 4585, 117724, 1973, 2737, 753, 4855, 236786, 21713, 236786, 51512, 827, 623, 9707, 1083, 236743, 236800, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 5640, 236779, 1340, 236779, 66850, 1083, 236743, 236770, 236778, 236828, 236764, 623, 26377, 236779, 20845, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 10618, 1083, 623, 100399, 2904, 827, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236770, 236778, 236800, 236812, 23179, 3714, 1582, 236779, 3250, 1083, 623, 4974, 69928, 213554, 54934, 844, 88970, 77860, 116464, 753, 167132, 19870, 827, 623, 9707, 1083, 236743, 236778, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 16904, 236743, 236810, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 5640, 236779, 1340, 236779, 66850, 1083, 236743, 236819, 236810, 236764, 623, 26377, 236779, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 10618, 1083, 623, 100399, 2904, 827, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236810, 236825, 236832, 236828, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2074, 9707, 1083, 236743, 236812, 236771, 236771, 236771, 236764, 623, 10618, 547, 1083, 623, 93420, 2904, 827, 623, 162433, 1083, 623, 500, 113458, 23179, 623, 1899, 1083, 2303, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 213554, 54934, 844, 236772, 52728, 12284, 28188, 1826, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 4255, 2533, 54934, 844, 26135, 66026, 4585, 117724, 1973, 2737, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236800, 236812, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 568, 40090, 161465, 236768, 138, 107, 139, 236772, 5213, 65787, 66515, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236743, 236812, 236761, 236832, 568, 236770, 236778, 236828, 10595, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 167132, 2604, 236786, 22278, 236786, 28975, 33448, 236764, 110057, 1702, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236778, 236761, 5213, 4974, 69928, 213554, 54934, 844, 77860, 116464, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236828, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 51164, 66515, 10522, 236743, 236810, 2378, 528, 2862, 568, 40090, 161465, 236768, 138, 107, 139, 236772, 5213, 65787, 66515, 6198, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236743, 236812, 236761, 236810, 568, 236819, 236810, 10595, 236768, 138, 107, 139, 236772, 5213, 9473, 66515, 63311, 2258, 10165, 236764, 26497, 1610, 59491, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 2039, 7303, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 54283, 236810, 236825, 236832, 236828, 236768, 138, 108, 10354, 24118, 236787, 138, 107, 236772, 669, 1171, 5086, 20239, 784, 822, 6035, 568, 9707, 655, 609, 236812, 236771, 236764, 1890, 236770, 236771, 236771, 10595, 236764, 13946, 8341, 769, 138, 107, 236772, 669, 1855, 5086, 563, 8427, 1208, 236743, 236770, 236771, 236771, 10595, 840, 2036, 6112, 25118, 532, 2487, 573, 3823, 8341, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 4889, 573, 496, 3530, 4188, 236881, 236743, 245838, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 3449, 1003, 11858, 4749, 600, 8432, 580, 1041, 12089, 236761, 3551, 12089, 563, 5142, 236743, 236770, 236810, 594, 236761, 3199, 611, 1171, 1694, 784, 4749, 600, 10997, 580, 600, 3433, 532, 1299, 2847, 9813, 29141, 529, 506, 1346, 3629, 5906, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 3704, 1083, 236743, 236770, 236778, 236770, 236810, 236764, 623, 3250, 1083, 623, 150825, 529, 506, 131808, 121020, 827, 623, 7777, 1083, 623, 29776, 3415, 529, 7591, 48485, 506, 131808, 121020, 657, 9793, 22810, 9511, 236764, 23364, 91798, 12466, 573, 25136, 2621, 221476, 3714, 3704, 1083, 236743, 236770, 236832, 236832, 236810, 236764, 623, 3250, 1083, 623, 38447, 7693, 67347, 17714, 827, 623, 7777, 1083, 623, 38447, 7693, 34266, 4991, 529, 506, 56906, 13325, 528, 18227, 236764, 24201, 236764, 36996, 496, 13805, 1523, 528, 506, 3668, 24817, 221476, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236771, 236764, 623, 3250, 1083, 623, 7280, 56588, 6693, 17607, 16187, 827, 623, 7777, 1083, 623, 818, 19855, 8927, 99906, 92893, 236743, 236778, 236772, 236770, 528, 9079, 531, 3345, 506, 56557, 6693, 17607, 3822, 221476, 3714, 3704, 1083, 236743, 236770, 236819, 236832, 236832, 236764, 623, 3250, 1083, 623, 19878, 529, 756, 7032, 18400, 236787, 39370, 10935, 75334, 623, 7777, 1083, 623, 38447, 34885, 236789, 236751, 78683, 4103, 148234, 528, 58980, 236764, 14994, 4266, 506, 6647, 25769, 18355, 532, 4913, 6540, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 11858, 4749, 600, 10997, 580, 5142, 236743, 236770, 236810, 594, 236764, 607, 9813, 29141, 529, 506, 1346, 3629, 5906, 236787, 108, 1018, 1613, 529, 31698, 53121, 107, 236770, 236761, 5213, 236770, 236778, 236770, 236810, 1018, 753, 144625, 529, 506, 131808, 121020, 138, 107, 236778, 236761, 5213, 236770, 236832, 236832, 236810, 1018, 753, 9142, 7693, 67347, 17714, 529, 506, 56906, 13325, 138, 107, 236800, 236761, 5213, 236770, 236819, 236825, 236771, 1018, 753, 5315, 56588, 6693, 17607, 16187, 138, 107, 236812, 236761, 5213, 236770, 236819, 236832, 236832, 1018, 753, 27999, 529, 808, 7032, 18400, 236787, 39370, 10935, 236829, 108, 7243, 108, 1018, 14254, 80387, 31698, 53121, 108, 236770, 236761, 5213, 150825, 529, 506, 131808, 121020, 568, 236770, 236778, 236770, 236810, 62902, 138, 107, 139, 29776, 3415, 529, 7591, 26800, 506, 131808, 121020, 657, 9793, 22810, 9511, 236764, 23364, 91798, 12466, 573, 25136, 2621, 236761, 1174, 2354, 5809, 19833, 2066, 532, 21202, 4532, 6369, 3797, 236764, 2440, 506, 749, 236761, 236773, 236761, 20901, 236761, 108, 236778, 236761, 5213, 38447, 7693, 67347, 17714, 568, 236770, 236832, 236832, 236810, 62902, 138, 107, 139, 42804, 12718, 10319, 529, 506, 56906, 13325, 1913, 506, 3668, 24817, 236764, 496, 63193, 3479, 528, 506, 6093, 573, 21555, 699, 7222, 6157, 236761, 4923, 10319, 3209, 21735, 506, 3640, 4184, 618, 1061, 1171, 6207, 236761, 108, 236800, 236761, 5213, 19878, 529, 808, 7032, 18400, 236787, 39370, 10935, 236829, 568, 236770, 236819, 236832, 236832, 62902, 138, 107, 139, 38447, 34885, 236789, 236751, 4103, 176839, 29729, 607, 1061, 78683, 2803, 4518, 532, 54491, 236764, 7107, 496, 9226, 20284, 600, 171983, 6647, 25769, 532, 16357, 236761, 108, 38786, 611, 1133, 3342, 4889, 1003, 1027, 529, 1239, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 3449, 1003, 11858, 4749, 600, 8432, 580, 1041, 12089, 236761, 3551, 12089, 563, 5142, 236743, 236770, 236810, 594, 236761, 3199, 611, 1171, 1694, 784, 4749, 600, 10997, 580, 600, 3433, 532, 1299, 2847, 9813, 29141, 529, 506, 1346, 3629, 5906, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 3704, 1083, 236743, 236770, 236778, 236770, 236810, 236764, 623, 3250, 1083, 623, 150825, 529, 506, 131808, 121020, 827, 623, 7777, 1083, 623, 29776, 3415, 529, 7591, 48485, 506, 131808, 121020, 657, 9793, 22810, 9511, 236764, 23364, 91798, 12466, 573, 25136, 2621, 221476, 3714, 3704, 1083, 236743, 236770, 236832, 236832, 236810, 236764, 623, 3250, 1083, 623, 38447, 7693, 67347, 17714, 827, 623, 7777, 1083, 623, 38447, 7693, 34266, 4991, 529, 506, 56906, 13325, 528, 18227, 236764, 24201, 236764, 36996, 496, 13805, 1523, 528, 506, 3668, 24817, 221476, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236771, 236764, 623, 3250, 1083, 623, 7280, 56588, 6693, 17607, 16187, 827, 623, 7777, 1083, 623, 818, 19855, 8927, 99906, 92893, 236743, 236778, 236772, 236770, 528, 9079, 531, 3345, 506, 56557, 6693, 17607, 3822, 221476, 3714, 3704, 1083, 236743, 236770, 236819, 236832, 236832, 236764, 623, 3250, 1083, 623, 19878, 529, 756, 7032, 18400, 236787, 39370, 10935, 75334, 623, 7777, 1083, 623, 38447, 34885, 236789, 236751, 78683, 4103, 148234, 528, 58980, 236764, 14994, 4266, 506, 6647, 25769, 18355, 532, 4913, 6540, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 11858, 4749, 600, 10997, 580, 5142, 236743, 236770, 236810, 594, 236764, 607, 9813, 29141, 529, 506, 1346, 3629, 5906, 236787, 108, 1018, 1613, 529, 31698, 53121, 107, 236770, 236761, 5213, 236770, 236778, 236770, 236810, 1018, 753, 144625, 529, 506, 131808, 121020, 138, 107, 236778, 236761, 5213, 236770, 236832, 236832, 236810, 1018, 753, 9142, 7693, 67347, 17714, 529, 506, 56906, 13325, 138, 107, 236800, 236761, 5213, 236770, 236819, 236825, 236771, 1018, 753, 5315, 56588, 6693, 17607, 16187, 138, 107, 236812, 236761, 5213, 236770, 236819, 236832, 236832, 1018, 753, 27999, 529, 808, 7032, 18400, 236787, 39370, 10935, 236829, 108, 7243, 108, 1018, 14254, 80387, 31698, 53121, 108, 236770, 236761, 5213, 150825, 529, 506, 131808, 121020, 568, 236770, 236778, 236770, 236810, 62902, 138, 107, 139, 29776, 3415, 529, 7591, 26800, 506, 131808, 121020, 657, 9793, 22810, 9511, 236764, 23364, 91798, 12466, 573, 25136, 2621, 236761, 1174, 2354, 5809, 19833, 2066, 532, 21202, 4532, 6369, 3797, 236764, 2440, 506, 749, 236761, 236773, 236761, 20901, 236761, 108, 236778, 236761, 5213, 38447, 7693, 67347, 17714, 568, 236770, 236832, 236832, 236810, 62902, 138, 107, 139, 42804, 12718, 10319, 529, 506, 56906, 13325, 1913, 506, 3668, 24817, 236764, 496, 63193, 3479, 528, 506, 6093, 573, 21555, 699, 7222, 6157, 236761, 4923, 10319, 3209, 21735, 506, 3640, 4184, 618, 1061, 1171, 6207, 236761, 108, 236800, 236761, 5213, 19878, 529, 808, 7032, 18400, 236787, 39370, 10935, 236829, 568, 236770, 236819, 236832, 236832, 62902, 138, 107, 139, 38447, 34885, 236789, 236751, 4103, 176839, 29729, 607, 1061, 78683, 2803, 4518, 532, 54491, 236764, 7107, 496, 9226, 20284, 600, 171983, 6647, 25769, 532, 16357, 236761, 108, 38786, 611, 1133, 3342, 4889, 1003, 1027, 529, 1239, 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, 1202, 531, 33205, 506, 120775, 1816, 699, 12562, 5853, 4439, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236810, 236779, 7071, 236953, 236761, 564, 691, 114521, 6549, 573, 1041, 3402, 30256, 1651, 9378, 580, 4257, 11877, 532, 2378, 7564, 496, 8300, 47538, 236761, 3199, 611, 33205, 600, 1816, 834, 564, 740, 1502, 35447, 1041, 12018, 236881, 564, 5630, 49326, 672, 1913, 1041, 1774, 15043, 607, 611, 753, 2613, 1003, 66051, 29119, 7913, 1131, 506, 30256, 236789, 236751, 5984, 532, 22293, 1610, 66503, 573, 2263, 44100, 236761, 3792, 786, 1281, 1144, 506, 33707, 3189, 1003, 1724, 6549, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 2922, 1083, 623, 818, 2430, 8397, 6614, 573, 910, 3402, 30256, 236764, 2440, 40825, 29119, 7913, 1131, 506, 5984, 10165, 532, 35447, 1610, 66503, 531, 1894, 2263, 44100, 236761, 669, 8300, 47538, 992, 6950, 496, 10040, 573, 7107, 496, 28239, 236764, 3399, 236772, 41889, 2557, 607, 17795, 67824, 532, 28597, 236772, 18865, 1702, 4820, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 52236, 33707, 699, 822, 8300, 47538, 236787, 108, 1018, 5183, 15622, 5590, 53121, 138, 107, 236775, 818, 2430, 8397, 6614, 573, 910, 3402, 30256, 236764, 2440, 40825, 29119, 7913, 1131, 506, 5984, 10165, 532, 35447, 1610, 66503, 531, 1894, 2263, 44100, 236761, 669, 8300, 47538, 992, 6950, 496, 10040, 573, 7107, 496, 28239, 236764, 3399, 236772, 41889, 2557, 607, 17795, 67824, 532, 28597, 236772, 18865, 1702, 4820, 1781, 108, 3503, 20756, 699, 822, 114521, 6478, 236787, 138, 107, 236770, 236761, 5213, 190457, 8040, 123340, 53121, 65337, 236764, 17795, 236772, 52728, 66418, 13148, 1131, 506, 30256, 236789, 236751, 9228, 1702, 236761, 138, 107, 236778, 236761, 5213, 9175, 8754, 16353, 53121, 48139, 531, 4253, 4749, 41671, 2263, 11421, 532, 44100, 236761, 138, 107, 236800, 236761, 5213, 147716, 236772, 83899, 30235, 53121, 48233, 5417, 532, 3826, 1702, 4820, 236761, 138, 107, 236812, 236761, 5213, 46640, 19839, 53121, 83652, 522, 531, 2619, 496, 45489, 236764, 33599, 2557, 573, 506, 2263, 3399, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 21494, 580, 1027, 529, 1239, 6549, 236888, 236743, 245668, 245838, 106, 107, 105, 2364, 107, 17531, 236764, 1651, 16270, 506, 91153, 5168, 4585, 9252, 1774, 2069, 236764, 564, 9941, 2264, 8300, 47538, 1003, 3530, 11421, 564, 1645, 1015, 1451, 32545, 910, 981, 528, 1041, 30256, 236761, 564, 6950, 12562, 5853, 4439, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236778, 236779, 7071, 236953, 528, 1041, 8687, 236761, 28344, 611, 33205, 600, 33707, 2311, 236881, 564, 1751, 564, 9456, 5618, 1133, 20587, 83084, 236764, 496, 30918, 617, 1015, 6178, 40399, 5417, 236764, 532, 496, 25364, 617, 7489, 225665, 157911, 2304, 236761, 7062, 236764, 532, 564, 2473, 236858, 560, 66464, 991, 1003, 6554, 2353, 117947, 564, 5004, 237028, 172497, 47300, 9726, 607, 35809, 67824, 236761, 3792, 786, 1281, 1144, 4889, 564, 2378, 528, 600, 886, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 2922, 236779, 1005, 1083, 623, 62403, 47538, 33707, 236787, 756, 172159, 83084, 236764, 496, 30918, 617, 1015, 116017, 7138, 40399, 5417, 236764, 532, 25364, 617, 225665, 157911, 2304, 1451, 1800, 3437, 4709, 9097, 531, 1041, 30256, 236761, 669, 54596, 47300, 9726, 607, 35809, 67824, 528, 506, 6554, 2353, 117947, 564, 5004, 657, 25628, 236743, 236770, 236770, 236778, 1093, 14125, 910, 981, 13275, 7085, 827, 623, 4818, 1083, 623, 10934, 827, 623, 31408, 236779, 547, 1083, 623, 1393, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236778, 236779, 7071, 236953, 827, 623, 3017, 236779, 2861, 1083, 236743, 236812, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236778, 236774, 236770, 236810, 236787, 236778, 236828, 236787, 236812, 236778, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 33707, 699, 822, 91153, 5168, 4585, 9252, 8300, 47538, 236787, 108, 1018, 5183, 15622, 5590, 53121, 138, 107, 236775, 172159, 83084, 236764, 496, 30918, 617, 1015, 116017, 7138, 40399, 5417, 236764, 532, 25364, 617, 225665, 157911, 2304, 1451, 1800, 3437, 4709, 9097, 531, 1041, 30256, 236761, 669, 54596, 47300, 9726, 607, 35809, 67824, 528, 506, 6554, 2353, 117947, 564, 5004, 657, 25628, 236743, 236770, 236770, 236778, 1093, 14125, 910, 981, 13275, 1781, 108, 1018, 3503, 20303, 53121, 138, 107, 236770, 236761, 5213, 140226, 229414, 53121, 138, 107, 139, 236772, 808, 172159, 83084, 63508, 147635, 617, 68916, 528, 40399, 2561, 1610, 236761, 138, 107, 139, 236772, 808, 236798, 5657, 157911, 2304, 63508, 103790, 617, 607, 39768, 10293, 236764, 17795, 236772, 52728, 11803, 236761, 138, 107, 236778, 236761, 5213, 3484, 123340, 53121, 199400, 47300, 900, 35809, 67824, 568, 145300, 8601, 657, 25628, 236743, 236770, 236770, 236778, 769, 138, 107, 236800, 236761, 5213, 17399, 205224, 53121, 43804, 236772, 29852, 1610, 532, 28239, 7913, 32769, 607, 822, 30256, 236858, 236751, 10040, 236761, 138, 108, 38786, 611, 1133, 1601, 17154, 855, 531, 1239, 11421, 653, 68657, 506, 2258, 10165, 236881, 236743, 245838, 244245, 106, 107, 105, 2364, 107, 17531, 236764, 1651, 9204, 1063, 699, 1041, 1774, 4430, 5395, 236764, 564, 9941, 496, 8300, 47538, 1003, 73476, 28597, 236772, 18865, 5417, 573, 506, 30256, 236858, 236751, 2016, 236772, 725, 237028, 145300, 49326, 101922, 3863, 25684, 528, 14100, 99162, 532, 496, 3826, 236772, 94636, 6554, 5500, 2760, 808, 8720, 893, 226096, 22429, 564, 1456, 12562, 5853, 4439, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236819, 236779, 7071, 236953, 236761, 28344, 611, 8091, 600, 33707, 236881, 564, 1751, 564, 992, 66464, 991, 1003, 11273, 6549, 236764, 1133, 496, 18224, 27319, 1603, 699, 51894, 3863, 653, 496, 4882, 3549, 3541, 506, 22774, 236761, 3792, 786, 1281, 768, 1027, 529, 1724, 4889, 3588, 1343, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 2922, 1083, 623, 62403, 47538, 3004, 52236, 236787, 756, 1390, 1708, 506, 30256, 236789, 236751, 2016, 236772, 725, 236764, 8426, 2426, 855, 506, 101922, 3863, 25684, 528, 14100, 99162, 753, 901, 236789, 560, 2506, 600, 93991, 32049, 564, 1133, 236761, 7062, 236764, 532, 1537, 236789, 236745, 10849, 63323, 226096, 236789, 236751, 28597, 236772, 33277, 753, 910, 53184, 3826, 1093, 577, 4011, 573, 506, 23690, 3549, 236761, 15704, 496, 18224, 27319, 699, 51894, 3863, 528, 506, 22774, 2433, 236881, 2408, 496, 4882, 3549, 607, 151475, 3541, 506, 2426, 236772, 495, 6651, 1390, 75334, 623, 4818, 1083, 623, 40812, 827, 623, 31408, 236779, 547, 1083, 623, 1393, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236819, 236779, 7071, 236953, 827, 623, 3017, 236779, 2861, 1083, 236743, 236828, 236832, 236764, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 33707, 573, 506, 28597, 236772, 18865, 2016, 236772, 725, 47538, 236787, 108, 1018, 5183, 15622, 5590, 53121, 138, 107, 72740, 1708, 506, 30256, 236789, 236751, 2016, 236772, 725, 236764, 8426, 2426, 855, 506, 101922, 3863, 25684, 528, 14100, 99162, 753, 901, 236789, 560, 2506, 600, 93991, 32049, 564, 1133, 236761, 7062, 236764, 532, 1537, 236789, 236745, 10849, 63323, 226096, 236789, 236751, 28597, 236772, 33277, 753, 910, 53184, 3826, 1093, 577, 4011, 573, 506, 23690, 3549, 236761, 15704, 496, 18224, 27319, 699, 51894, 3863, 528, 506, 22774, 2433, 236881, 2408, 496, 4882, 3549, 607, 151475, 3541, 506, 2426, 236772, 495, 6651, 24002, 108, 1018, 3503, 70731, 53121, 138, 107, 236770, 236761, 5213, 60914, 555, 53273, 53121, 138, 107, 139, 236772, 808, 1479, 22004, 10013, 63508, 28789, 524, 32049, 699, 14100, 99162, 25684, 236761, 138, 107, 139, 236772, 808, 147716, 236772, 50672, 63508, 63323, 226096, 236858, 236751, 53184, 3826, 573, 23690, 11595, 236761, 138, 107, 236778, 236761, 5213, 4350, 45914, 53121, 138, 107, 139, 236772, 71721, 51894, 3863, 27319, 528, 22774, 236761, 138, 107, 139, 236772, 21887, 3549, 607, 151475, 3541, 2426, 236772, 495, 236761, 138, 107, 236800, 236761, 5213, 221962, 30235, 53121, 4150, 556, 3833, 5417, 900, 2708, 236772, 136598, 6554, 236761, 138, 108, 229806, 6317, 236787, 236743, 236819, 236778, 236908, 29972, 528, 33707, 236761, 21284, 611, 1133, 1601, 66582, 496, 27313, 26410, 653, 173110, 506, 11273, 236881, 236743, 243536, 251688, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 33205, 506, 120775, 1816, 699, 12562, 5853, 4439, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236810, 236779, 7071, 236953, 236761, 564, 691, 114521, 6549, 573, 1041, 3402, 30256, 1651, 9378, 580, 4257, 11877, 532, 2378, 7564, 496, 8300, 47538, 236761, 3199, 611, 33205, 600, 1816, 834, 564, 740, 1502, 35447, 1041, 12018, 236881, 564, 5630, 49326, 672, 1913, 1041, 1774, 15043, 607, 611, 753, 2613, 1003, 66051, 29119, 7913, 1131, 506, 30256, 236789, 236751, 5984, 532, 22293, 1610, 66503, 573, 2263, 44100, 236761, 3792, 786, 1281, 1144, 506, 33707, 3189, 1003, 1724, 6549, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 2922, 1083, 623, 818, 2430, 8397, 6614, 573, 910, 3402, 30256, 236764, 2440, 40825, 29119, 7913, 1131, 506, 5984, 10165, 532, 35447, 1610, 66503, 531, 1894, 2263, 44100, 236761, 669, 8300, 47538, 992, 6950, 496, 10040, 573, 7107, 496, 28239, 236764, 3399, 236772, 41889, 2557, 607, 17795, 67824, 532, 28597, 236772, 18865, 1702, 4820, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 52236, 33707, 699, 822, 8300, 47538, 236787, 108, 1018, 5183, 15622, 5590, 53121, 138, 107, 236775, 818, 2430, 8397, 6614, 573, 910, 3402, 30256, 236764, 2440, 40825, 29119, 7913, 1131, 506, 5984, 10165, 532, 35447, 1610, 66503, 531, 1894, 2263, 44100, 236761, 669, 8300, 47538, 992, 6950, 496, 10040, 573, 7107, 496, 28239, 236764, 3399, 236772, 41889, 2557, 607, 17795, 67824, 532, 28597, 236772, 18865, 1702, 4820, 1781, 108, 3503, 20756, 699, 822, 114521, 6478, 236787, 138, 107, 236770, 236761, 5213, 190457, 8040, 123340, 53121, 65337, 236764, 17795, 236772, 52728, 66418, 13148, 1131, 506, 30256, 236789, 236751, 9228, 1702, 236761, 138, 107, 236778, 236761, 5213, 9175, 8754, 16353, 53121, 48139, 531, 4253, 4749, 41671, 2263, 11421, 532, 44100, 236761, 138, 107, 236800, 236761, 5213, 147716, 236772, 83899, 30235, 53121, 48233, 5417, 532, 3826, 1702, 4820, 236761, 138, 107, 236812, 236761, 5213, 46640, 19839, 53121, 83652, 522, 531, 2619, 496, 45489, 236764, 33599, 2557, 573, 506, 2263, 3399, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 21494, 580, 1027, 529, 1239, 6549, 236888, 236743, 245668, 245838, 106, 107, 105, 2364, 107, 17531, 236764, 1651, 16270, 506, 91153, 5168, 4585, 9252, 1774, 2069, 236764, 564, 9941, 2264, 8300, 47538, 1003, 3530, 11421, 564, 1645, 1015, 1451, 32545, 910, 981, 528, 1041, 30256, 236761, 564, 6950, 12562, 5853, 4439, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236778, 236779, 7071, 236953, 528, 1041, 8687, 236761, 28344, 611, 33205, 600, 33707, 2311, 236881, 564, 1751, 564, 9456, 5618, 1133, 20587, 83084, 236764, 496, 30918, 617, 1015, 6178, 40399, 5417, 236764, 532, 496, 25364, 617, 7489, 225665, 157911, 2304, 236761, 7062, 236764, 532, 564, 2473, 236858, 560, 66464, 991, 1003, 6554, 2353, 117947, 564, 5004, 237028, 172497, 47300, 9726, 607, 35809, 67824, 236761, 3792, 786, 1281, 1144, 4889, 564, 2378, 528, 600, 886, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 2922, 236779, 1005, 1083, 623, 62403, 47538, 33707, 236787, 756, 172159, 83084, 236764, 496, 30918, 617, 1015, 116017, 7138, 40399, 5417, 236764, 532, 25364, 617, 225665, 157911, 2304, 1451, 1800, 3437, 4709, 9097, 531, 1041, 30256, 236761, 669, 54596, 47300, 9726, 607, 35809, 67824, 528, 506, 6554, 2353, 117947, 564, 5004, 657, 25628, 236743, 236770, 236770, 236778, 1093, 14125, 910, 981, 13275, 7085, 827, 623, 4818, 1083, 623, 10934, 827, 623, 31408, 236779, 547, 1083, 623, 1393, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236778, 236779, 7071, 236953, 827, 623, 3017, 236779, 2861, 1083, 236743, 236812, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236778, 236774, 236770, 236810, 236787, 236778, 236828, 236787, 236812, 236778, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 33707, 699, 822, 91153, 5168, 4585, 9252, 8300, 47538, 236787, 108, 1018, 5183, 15622, 5590, 53121, 138, 107, 236775, 172159, 83084, 236764, 496, 30918, 617, 1015, 116017, 7138, 40399, 5417, 236764, 532, 25364, 617, 225665, 157911, 2304, 1451, 1800, 3437, 4709, 9097, 531, 1041, 30256, 236761, 669, 54596, 47300, 9726, 607, 35809, 67824, 528, 506, 6554, 2353, 117947, 564, 5004, 657, 25628, 236743, 236770, 236770, 236778, 1093, 14125, 910, 981, 13275, 1781, 108, 1018, 3503, 20303, 53121, 138, 107, 236770, 236761, 5213, 140226, 229414, 53121, 138, 107, 139, 236772, 808, 172159, 83084, 63508, 147635, 617, 68916, 528, 40399, 2561, 1610, 236761, 138, 107, 139, 236772, 808, 236798, 5657, 157911, 2304, 63508, 103790, 617, 607, 39768, 10293, 236764, 17795, 236772, 52728, 11803, 236761, 138, 107, 236778, 236761, 5213, 3484, 123340, 53121, 199400, 47300, 900, 35809, 67824, 568, 145300, 8601, 657, 25628, 236743, 236770, 236770, 236778, 769, 138, 107, 236800, 236761, 5213, 17399, 205224, 53121, 43804, 236772, 29852, 1610, 532, 28239, 7913, 32769, 607, 822, 30256, 236858, 236751, 10040, 236761, 138, 108, 38786, 611, 1133, 1601, 17154, 855, 531, 1239, 11421, 653, 68657, 506, 2258, 10165, 236881, 236743, 245838, 244245, 106, 107, 105, 2364, 107, 17531, 236764, 1651, 9204, 1063, 699, 1041, 1774, 4430, 5395, 236764, 564, 9941, 496, 8300, 47538, 1003, 73476, 28597, 236772, 18865, 5417, 573, 506, 30256, 236858, 236751, 2016, 236772, 725, 237028, 145300, 49326, 101922, 3863, 25684, 528, 14100, 99162, 532, 496, 3826, 236772, 94636, 6554, 5500, 2760, 808, 8720, 893, 226096, 22429, 564, 1456, 12562, 5853, 4439, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236819, 236779, 7071, 236953, 236761, 28344, 611, 8091, 600, 33707, 236881, 564, 1751, 564, 992, 66464, 991, 1003, 11273, 6549, 236764, 1133, 496, 18224, 27319, 1603, 699, 51894, 3863, 653, 496, 4882, 3549, 3541, 506, 22774, 236761, 3792, 786, 1281, 768, 1027, 529, 1724, 4889, 3588, 1343, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3849, 2922, 1083, 623, 62403, 47538, 3004, 52236, 236787, 756, 1390, 1708, 506, 30256, 236789, 236751, 2016, 236772, 725, 236764, 8426, 2426, 855, 506, 101922, 3863, 25684, 528, 14100, 99162, 753, 901, 236789, 560, 2506, 600, 93991, 32049, 564, 1133, 236761, 7062, 236764, 532, 1537, 236789, 236745, 10849, 63323, 226096, 236789, 236751, 28597, 236772, 33277, 753, 910, 53184, 3826, 1093, 577, 4011, 573, 506, 23690, 3549, 236761, 15704, 496, 18224, 27319, 699, 51894, 3863, 528, 506, 22774, 2433, 236881, 2408, 496, 4882, 3549, 607, 151475, 3541, 506, 2426, 236772, 495, 6651, 1390, 75334, 623, 4818, 1083, 623, 40812, 827, 623, 31408, 236779, 547, 1083, 623, 1393, 236774, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236770, 236819, 236779, 7071, 236953, 827, 623, 3017, 236779, 2861, 1083, 236743, 236828, 236832, 236764, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 33707, 573, 506, 28597, 236772, 18865, 2016, 236772, 725, 47538, 236787, 108, 1018, 5183, 15622, 5590, 53121, 138, 107, 72740, 1708, 506, 30256, 236789, 236751, 2016, 236772, 725, 236764, 8426, 2426, 855, 506, 101922, 3863, 25684, 528, 14100, 99162, 753, 901, 236789, 560, 2506, 600, 93991, 32049, 564, 1133, 236761, 7062, 236764, 532, 1537, 236789, 236745, 10849, 63323, 226096, 236789, 236751, 28597, 236772, 33277, 753, 910, 53184, 3826, 1093, 577, 4011, 573, 506, 23690, 3549, 236761, 15704, 496, 18224, 27319, 699, 51894, 3863, 528, 506, 22774, 2433, 236881, 2408, 496, 4882, 3549, 607, 151475, 3541, 506, 2426, 236772, 495, 6651, 24002, 108, 1018, 3503, 70731, 53121, 138, 107, 236770, 236761, 5213, 60914, 555, 53273, 53121, 138, 107, 139, 236772, 808, 1479, 22004, 10013, 63508, 28789, 524, 32049, 699, 14100, 99162, 25684, 236761, 138, 107, 139, 236772, 808, 147716, 236772, 50672, 63508, 63323, 226096, 236858, 236751, 53184, 3826, 573, 23690, 11595, 236761, 138, 107, 236778, 236761, 5213, 4350, 45914, 53121, 138, 107, 139, 236772, 71721, 51894, 3863, 27319, 528, 22774, 236761, 138, 107, 139, 236772, 21887, 3549, 607, 151475, 3541, 2426, 236772, 495, 236761, 138, 107, 236800, 236761, 5213, 221962, 30235, 53121, 4150, 556, 3833, 5417, 900, 2708, 236772, 136598, 6554, 236761, 138, 108, 229806, 6317, 236787, 236743, 236819, 236778, 236908, 29972, 528, 33707, 236761, 21284, 611, 1133, 1601, 66582, 496, 27313, 26410, 653, 173110, 506, 11273, 236881, 236743, 243536, 251688, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 50702, 506, 10805, 8448, 573, 496, 5498, 607, 496, 2689, 529, 236743, 236810, 236771, 532, 4077, 21012, 529, 236743, 236770, 236771, 657, 496, 236743, 236819, 236810, 236908, 10805, 1984, 236761, 106, 107, 105, 4368, 107, 2021, 9279, 506, 10805, 8448, 573, 506, 5498, 2689, 236764, 506, 5498, 2425, 563, 3149, 531, 6054, 506, 4077, 3165, 236761, 3153, 236764, 506, 5498, 2425, 691, 711, 3847, 528, 506, 7609, 236761, 236743, 108, 9366, 2847, 506, 5498, 2425, 568, 5640, 529, 12505, 528, 506, 5498, 236768, 834, 564, 740, 16333, 506, 10805, 8448, 1699, 506, 6581, 236787, 108, 1018, 229806, 105196, 578, 36673, 22820, 568, 236953, 236772, 8318, 15666, 568, 21108, 164069, 965, 40370, 236749, 1223, 1018, 108, 10936, 236787, 107, 236772, 36673, 578, 236743, 236810, 236771, 107, 236772, 13029, 164069, 578, 236743, 236770, 236771, 107, 236772, 115903, 16575, 578, 236743, 236819, 236810, 236908, 568, 236953, 236772, 8318, 67081, 236743, 236770, 236761, 236819, 236825, 236768, 107, 236772, 538, 578, 5498, 2425, 568, 46691, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 50702, 506, 10805, 8448, 573, 496, 5498, 607, 496, 2689, 529, 236743, 236810, 236771, 532, 4077, 21012, 529, 236743, 236770, 236771, 657, 496, 236743, 236819, 236810, 236908, 10805, 1984, 236761, 106, 107, 105, 4368, 107, 2021, 9279, 506, 10805, 8448, 573, 506, 5498, 2689, 236764, 506, 5498, 2425, 563, 3149, 531, 6054, 506, 4077, 3165, 236761, 3153, 236764, 506, 5498, 2425, 691, 711, 3847, 528, 506, 7609, 236761, 236743, 108, 9366, 2847, 506, 5498, 2425, 568, 5640, 529, 12505, 528, 506, 5498, 236768, 834, 564, 740, 16333, 506, 10805, 8448, 1699, 506, 6581, 236787, 108, 1018, 229806, 105196, 578, 36673, 22820, 568, 236953, 236772, 8318, 15666, 568, 21108, 164069, 965, 40370, 236749, 1223, 1018, 108, 10936, 236787, 107, 236772, 36673, 578, 236743, 236810, 236771, 107, 236772, 13029, 164069, 578, 236743, 236770, 236771, 107, 236772, 115903, 16575, 578, 236743, 236819, 236810, 236908, 568, 236953, 236772, 8318, 67081, 236743, 236770, 236761, 236819, 236825, 236768, 107, 236772, 538, 578, 5498, 2425, 568, 46691, 236768, 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, 3402, 7946, 531, 226319, 207827, 532, 1202, 531, 1502, 90352, 573, 14348, 236761, 28344, 611, 1601, 786, 2426, 506, 1873, 8770, 6224, 573, 23058, 531, 111101, 87856, 5718, 568, 118138, 236768, 532, 992, 10769, 625, 607, 23058, 531, 96433, 20578, 139526, 3236, 568, 22965, 236823, 236768, 2338, 564, 3517, 2523, 993, 3187, 236881, 564, 1461, 531, 3050, 1217, 1041, 7715, 2473, 17866, 3418, 1239, 1156, 34091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236800, 236761, 236832, 236810, 236764, 623, 2543, 1083, 623, 38556, 827, 623, 1071, 1083, 623, 118138, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236825, 236819, 236812, 236810, 236761, 236771, 236764, 623, 6265, 1083, 623, 38556, 827, 623, 5654, 1083, 623, 22965, 236823, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 8770, 6224, 573, 822, 13015, 34091, 236787, 108, 1018, 5141, 86643, 87856, 5718, 568, 118138, 1473, 1018, 107, 236772, 5213, 236770, 23058, 578, 236743, 236800, 236761, 236832, 236810, 60601, 1018, 138, 107, 138, 236769, 21796, 699, 226319, 207827, 236789, 236751, 2263, 15130, 236768, 108, 1018, 3128, 25653, 20578, 139526, 3236, 568, 22965, 236823, 1473, 1018, 107, 236772, 5213, 236770, 23058, 578, 236743, 236825, 236764, 236819, 236812, 236810, 70643, 236823, 1018, 138, 107, 138, 236769, 21796, 573, 113644, 20503, 236793, 618, 529, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236768, 108, 10354, 29125, 522, 98964, 236787, 107, 236772, 669, 60601, 3136, 2820, 822, 23058, 795, 735, 21037, 21186, 2066, 528, 40496, 236761, 1701, 2591, 236764, 496, 609, 236770, 236771, 236771, 23058, 7715, 14339, 2578, 236800, 236832, 236810, 60601, 236761, 107, 236772, 669, 70643, 236823, 3136, 7412, 33237, 3715, 2779, 531, 15130, 125175, 568, 146772, 6630, 779, 840, 21186, 2066, 100146, 12030, 607, 10969, 30296, 236761, 609, 236770, 236771, 236771, 23058, 14339, 2578, 236825, 236819, 236812, 236764, 236810, 236771, 236771, 70643, 236823, 236764, 3635, 2263, 6527, 795, 7495, 506, 7100, 114410, 236761, 108, 38786, 611, 1133, 1601, 35322, 3530, 7715, 12669, 568, 236744, 236761, 236759, 1126, 54472, 236764, 18917, 236768, 1131, 1239, 48234, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3402, 7946, 531, 226319, 207827, 532, 1202, 531, 1502, 90352, 573, 14348, 236761, 28344, 611, 1601, 786, 2426, 506, 1873, 8770, 6224, 573, 23058, 531, 111101, 87856, 5718, 568, 118138, 236768, 532, 992, 10769, 625, 607, 23058, 531, 96433, 20578, 139526, 3236, 568, 22965, 236823, 236768, 2338, 564, 3517, 2523, 993, 3187, 236881, 564, 1461, 531, 3050, 1217, 1041, 7715, 2473, 17866, 3418, 1239, 1156, 34091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236800, 236761, 236832, 236810, 236764, 623, 2543, 1083, 623, 38556, 827, 623, 1071, 1083, 623, 118138, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236825, 236819, 236812, 236810, 236761, 236771, 236764, 623, 6265, 1083, 623, 38556, 827, 623, 5654, 1083, 623, 22965, 236823, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 8770, 6224, 573, 822, 13015, 34091, 236787, 108, 1018, 5141, 86643, 87856, 5718, 568, 118138, 1473, 1018, 107, 236772, 5213, 236770, 23058, 578, 236743, 236800, 236761, 236832, 236810, 60601, 1018, 138, 107, 138, 236769, 21796, 699, 226319, 207827, 236789, 236751, 2263, 15130, 236768, 108, 1018, 3128, 25653, 20578, 139526, 3236, 568, 22965, 236823, 1473, 1018, 107, 236772, 5213, 236770, 23058, 578, 236743, 236825, 236764, 236819, 236812, 236810, 70643, 236823, 1018, 138, 107, 138, 236769, 21796, 573, 113644, 20503, 236793, 618, 529, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236768, 108, 10354, 29125, 522, 98964, 236787, 107, 236772, 669, 60601, 3136, 2820, 822, 23058, 795, 735, 21037, 21186, 2066, 528, 40496, 236761, 1701, 2591, 236764, 496, 609, 236770, 236771, 236771, 23058, 7715, 14339, 2578, 236800, 236832, 236810, 60601, 236761, 107, 236772, 669, 70643, 236823, 3136, 7412, 33237, 3715, 2779, 531, 15130, 125175, 568, 146772, 6630, 779, 840, 21186, 2066, 100146, 12030, 607, 10969, 30296, 236761, 609, 236770, 236771, 236771, 23058, 14339, 2578, 236825, 236819, 236812, 236764, 236810, 236771, 236771, 70643, 236823, 236764, 3635, 2263, 6527, 795, 7495, 506, 7100, 114410, 236761, 108, 38786, 611, 1133, 1601, 35322, 3530, 7715, 12669, 568, 236744, 236761, 236759, 1126, 54472, 236764, 18917, 236768, 1131, 1239, 48234, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 54950, 496, 20439, 236772, 42691, 1594, 580, 672, 2633, 236787, 15385, 236800, 236771, 236764, 236743, 236778, 236771, 1604, 870, 236770, 236810, 236764, 236743, 236778, 236810, 10660, 531, 1460, 768, 506, 2303, 18754, 740, 577, 21105, 657, 496, 236743, 236771, 236761, 236771, 236770, 17141, 1984, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 20439, 236772, 42691, 1594, 1292, 528, 506, 3847, 6436, 236761, 669, 2487, 5151, 740, 1186, 4260, 4945, 653, 9279, 11333, 3364, 167806, 236761, 1599, 236789, 859, 1202, 18090, 5368, 653, 496, 1607, 5904, 531, 2121, 18754, 7257, 573, 83158, 11740, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 54950, 496, 20439, 236772, 42691, 1594, 580, 672, 2633, 236787, 15385, 236800, 236771, 236764, 236743, 236778, 236771, 1604, 870, 236770, 236810, 236764, 236743, 236778, 236810, 10660, 531, 1460, 768, 506, 2303, 18754, 740, 577, 21105, 657, 496, 236743, 236771, 236761, 236771, 236770, 17141, 1984, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 20439, 236772, 42691, 1594, 1292, 528, 506, 3847, 6436, 236761, 669, 2487, 5151, 740, 1186, 4260, 4945, 653, 9279, 11333, 3364, 167806, 236761, 1599, 236789, 859, 1202, 18090, 5368, 653, 496, 1607, 5904, 531, 2121, 18754, 7257, 573, 83158, 11740, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 506, 4889, 529, 496, 2263, 1610, 15707, 236789, 236751, 31740, 7449, 2881, 236761, 5315, 236764, 33205, 910, 1960, 1003, 1938, 531, 9128, 901, 23704, 9779, 910, 15707, 3885, 532, 4563, 236761, 4298, 236764, 2426, 910, 8781, 4429, 531, 5330, 625, 19365, 910, 1873, 16939, 19520, 236761, 1637, 611, 14087, 1027, 4342, 42788, 506, 4429, 236764, 151350, 684, 4071, 236772, 35380, 9908, 506, 1003, 1938, 531, 8701, 4127, 6137, 1680, 2461, 19581, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 4127, 36605, 21739, 532, 3004, 1722, 6137, 531, 7162, 607, 506, 28250, 236761, 7323, 2847, 236787, 107, 236770, 236761, 31740, 7449, 9299, 15006, 8369, 607, 756, 23019, 236779, 12291, 236789, 11104, 573, 67896, 1003, 1938, 107, 236778, 236761, 31740, 7449, 30715, 9299, 8369, 573, 42788, 506, 8781, 4429, 107, 236800, 236761, 93089, 3004, 4458, 573, 1800, 10512, 568, 236744, 236761, 236759, 1126, 756, 9458, 236786, 3723, 236789, 573, 1003, 8283, 532, 756, 3304, 236786, 32431, 236789, 573, 506, 4429, 236768, 108, 236820, 4764, 1722, 718, 15979, 236779, 19031, 905, 107, 14937, 19031, 236779, 52796, 1083, 11058, 9869, 236779, 78362, 236779, 1114, 827, 623, 14007, 236779, 78362, 236779, 1114, 827, 623, 3955, 236779, 2084, 236779, 9869, 827, 623, 3955, 236779, 2084, 236779, 14007, 99471, 107, 954, 4764, 236813, 106, 107, 105, 2364, 107, 14937, 9869, 236779, 78362, 236779, 1114, 1083, 623, 62620, 1003, 236779, 1114, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 14007, 236779, 78362, 236779, 1114, 1083, 623, 62620, 4429, 236779, 1114, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 3955, 236779, 2084, 236779, 9869, 1083, 623, 9458, 236786, 3723, 827, 623, 3955, 236779, 2084, 236779, 14007, 1083, 623, 3304, 236786, 32431, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23019, 236779, 7777, 1083, 623, 146367, 1610, 15707, 58442, 20222, 11421, 532, 26644, 52923, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 42976, 6718, 236764, 14822, 9252, 827, 623, 23019, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 46325, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 11607, 236779, 3906, 1083, 3714, 6774, 1083, 623, 26781, 236940, 661, 6109, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 139832, 236779, 23019, 236779, 33864, 236786, 661, 236779, 26781, 236779, 716, 59235, 236761, 4034, 827, 623, 14007, 236779, 21052, 1083, 3714, 2086, 236779, 18222, 1083, 236743, 236778, 236812, 236810, 236832, 236825, 236771, 236764, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236828, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236828, 236771, 236771, 5237, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 28250, 529, 506, 2263, 1610, 15707, 236789, 236751, 31740, 7449, 2881, 815, 1010, 7723, 236761, 5715, 659, 506, 12396, 236787, 108, 1018, 17844, 11968, 8230, 53121, 107, 236772, 5213, 9770, 53121, 45625, 1610, 15707, 58442, 20222, 11421, 532, 26644, 52923, 107, 236772, 5213, 9604, 53121, 236743, 236770, 236778, 236800, 42976, 6718, 236764, 14822, 9252, 107, 236772, 5213, 17844, 35174, 53121, 138, 107, 138, 49381, 236772, 45262, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 138, 107, 138, 46325, 236787, 236743, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 138, 107, 138, 48049, 236787, 65287, 107, 236772, 5213, 11431, 23614, 53121, 138, 107, 138, 11919, 236787, 15707, 236940, 661, 6109, 236761, 854, 138, 107, 138, 9704, 236787, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 107, 236772, 5213, 9008, 42841, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 108, 1018, 16679, 20141, 20303, 53121, 107, 236772, 5213, 11653, 10739, 53121, 870, 6759, 531, 8781, 4429, 5457, 2574, 1411, 8358, 236761, 854, 236786, 139832, 236779, 23019, 236779, 33864, 236786, 661, 236779, 26781, 236779, 716, 59235, 236761, 4034, 236768, 138, 107, 138, 16907, 10282, 236787, 49911, 2471, 3004, 3914, 577, 27662, 1590, 618, 506, 10739, 563, 496, 17709, 2907, 236829, 107, 236772, 5213, 31139, 53121, 138, 107, 138, 3038, 236787, 236743, 236778, 236812, 236810, 236764, 236832, 236825, 236771, 17234, 138, 107, 138, 55141, 236787, 236743, 236828, 236771, 236771, 236781, 236828, 236771, 236771, 18033, 138, 107, 138, 9008, 80183, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 138, 107, 236772, 5213, 6717, 53121, 21942, 108, 1018, 35434, 53121, 107, 236770, 236761, 669, 15707, 236789, 236751, 3421, 236764, 3885, 236764, 532, 6492, 659, 8207, 8249, 532, 872, 236772, 1071, 236772, 1896, 236761, 107, 236778, 236761, 669, 8781, 4429, 10739, 691, 10428, 52236, 236764, 840, 1061, 3004, 568, 236744, 236761, 236759, 1126, 3363, 625, 19365, 506, 1873, 19520, 236768, 3914, 577, 10778, 2180, 12040, 28250, 529, 506, 3205, 236761, 107, 236800, 236761, 669, 4429, 236789, 236751, 28436, 3831, 625, 691, 10448, 919, 5569, 568, 30651, 236743, 236778, 236771, 236778, 236810, 236768, 1082, 506, 1003, 1938, 568, 27393, 236743, 236778, 236771, 236778, 236810, 779, 22169, 5158, 9626, 529, 506, 2881, 236761, 108, 1018, 211199, 53121, 138, 107, 81933, 506, 8781, 4429, 684, 16270, 506, 3847, 10739, 531, 5330, 625, 100146, 607, 506, 15707, 236789, 236751, 1873, 16939, 19520, 236761, 1637, 506, 10739, 563, 19070, 653, 506, 4429, 563, 59891, 236764, 1161, 506, 31740, 7449, 9299, 6436, 531, 4610, 625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 506, 4889, 529, 496, 2263, 1610, 15707, 236789, 236751, 31740, 7449, 2881, 236761, 5315, 236764, 33205, 910, 1960, 1003, 1938, 531, 9128, 901, 23704, 9779, 910, 15707, 3885, 532, 4563, 236761, 4298, 236764, 2426, 910, 8781, 4429, 531, 5330, 625, 19365, 910, 1873, 16939, 19520, 236761, 1637, 611, 14087, 1027, 4342, 42788, 506, 4429, 236764, 151350, 684, 4071, 236772, 35380, 9908, 506, 1003, 1938, 531, 8701, 4127, 6137, 1680, 2461, 19581, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 4127, 36605, 21739, 532, 3004, 1722, 6137, 531, 7162, 607, 506, 28250, 236761, 7323, 2847, 236787, 107, 236770, 236761, 31740, 7449, 9299, 15006, 8369, 607, 756, 23019, 236779, 12291, 236789, 11104, 573, 67896, 1003, 1938, 107, 236778, 236761, 31740, 7449, 30715, 9299, 8369, 573, 42788, 506, 8781, 4429, 107, 236800, 236761, 93089, 3004, 4458, 573, 1800, 10512, 568, 236744, 236761, 236759, 1126, 756, 9458, 236786, 3723, 236789, 573, 1003, 8283, 532, 756, 3304, 236786, 32431, 236789, 573, 506, 4429, 236768, 108, 236820, 4764, 1722, 718, 15979, 236779, 19031, 905, 107, 14937, 19031, 236779, 52796, 1083, 11058, 9869, 236779, 78362, 236779, 1114, 827, 623, 14007, 236779, 78362, 236779, 1114, 827, 623, 3955, 236779, 2084, 236779, 9869, 827, 623, 3955, 236779, 2084, 236779, 14007, 99471, 107, 954, 4764, 236813, 106, 107, 105, 2364, 107, 14937, 9869, 236779, 78362, 236779, 1114, 1083, 623, 62620, 1003, 236779, 1114, 236779, 236770, 236778, 236800, 236812, 236810, 827, 623, 14007, 236779, 78362, 236779, 1114, 1083, 623, 62620, 4429, 236779, 1114, 236779, 236825, 236832, 236828, 236819, 236771, 827, 623, 3955, 236779, 2084, 236779, 9869, 1083, 623, 9458, 236786, 3723, 827, 623, 3955, 236779, 2084, 236779, 14007, 1083, 623, 3304, 236786, 32431, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23019, 236779, 7777, 1083, 623, 146367, 1610, 15707, 58442, 20222, 11421, 532, 26644, 52923, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 42976, 6718, 236764, 14822, 9252, 827, 623, 23019, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 46325, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 11607, 236779, 3906, 1083, 3714, 6774, 1083, 623, 26781, 236940, 661, 6109, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14007, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 139832, 236779, 23019, 236779, 33864, 236786, 661, 236779, 26781, 236779, 716, 59235, 236761, 4034, 827, 623, 14007, 236779, 21052, 1083, 3714, 2086, 236779, 18222, 1083, 236743, 236778, 236812, 236810, 236832, 236825, 236771, 236764, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236828, 236771, 236771, 236764, 623, 4603, 1083, 236743, 236828, 236771, 236771, 5237, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 28250, 529, 506, 2263, 1610, 15707, 236789, 236751, 31740, 7449, 2881, 815, 1010, 7723, 236761, 5715, 659, 506, 12396, 236787, 108, 1018, 17844, 11968, 8230, 53121, 107, 236772, 5213, 9770, 53121, 45625, 1610, 15707, 58442, 20222, 11421, 532, 26644, 52923, 107, 236772, 5213, 9604, 53121, 236743, 236770, 236778, 236800, 42976, 6718, 236764, 14822, 9252, 107, 236772, 5213, 17844, 35174, 53121, 138, 107, 138, 49381, 236772, 45262, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 138, 107, 138, 46325, 236787, 236743, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 138, 107, 138, 48049, 236787, 65287, 107, 236772, 5213, 11431, 23614, 53121, 138, 107, 138, 11919, 236787, 15707, 236940, 661, 6109, 236761, 854, 138, 107, 138, 9704, 236787, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 107, 236772, 5213, 9008, 42841, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 108, 1018, 16679, 20141, 20303, 53121, 107, 236772, 5213, 11653, 10739, 53121, 870, 6759, 531, 8781, 4429, 5457, 2574, 1411, 8358, 236761, 854, 236786, 139832, 236779, 23019, 236779, 33864, 236786, 661, 236779, 26781, 236779, 716, 59235, 236761, 4034, 236768, 138, 107, 138, 16907, 10282, 236787, 49911, 2471, 3004, 3914, 577, 27662, 1590, 618, 506, 10739, 563, 496, 17709, 2907, 236829, 107, 236772, 5213, 31139, 53121, 138, 107, 138, 3038, 236787, 236743, 236778, 236812, 236810, 236764, 236832, 236825, 236771, 17234, 138, 107, 138, 55141, 236787, 236743, 236828, 236771, 236771, 236781, 236828, 236771, 236771, 18033, 138, 107, 138, 9008, 80183, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 138, 107, 236772, 5213, 6717, 53121, 21942, 108, 1018, 35434, 53121, 107, 236770, 236761, 669, 15707, 236789, 236751, 3421, 236764, 3885, 236764, 532, 6492, 659, 8207, 8249, 532, 872, 236772, 1071, 236772, 1896, 236761, 107, 236778, 236761, 669, 8781, 4429, 10739, 691, 10428, 52236, 236764, 840, 1061, 3004, 568, 236744, 236761, 236759, 1126, 3363, 625, 19365, 506, 1873, 19520, 236768, 3914, 577, 10778, 2180, 12040, 28250, 529, 506, 3205, 236761, 107, 236800, 236761, 669, 4429, 236789, 236751, 28436, 3831, 625, 691, 10448, 919, 5569, 568, 30651, 236743, 236778, 236771, 236778, 236810, 236768, 1082, 506, 1003, 1938, 568, 27393, 236743, 236778, 236771, 236778, 236810, 779, 22169, 5158, 9626, 529, 506, 2881, 236761, 108, 1018, 211199, 53121, 138, 107, 81933, 506, 8781, 4429, 684, 16270, 506, 3847, 10739, 531, 5330, 625, 100146, 607, 506, 15707, 236789, 236751, 1873, 16939, 19520, 236761, 1637, 506, 10739, 563, 19070, 653, 506, 4429, 563, 59891, 236764, 1161, 506, 31740, 7449, 9299, 6436, 531, 4610, 625, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 3517, 2523, 528, 44554, 236764, 27491, 236761, 5315, 236764, 2426, 506, 11858, 7606, 9935, 993, 1024, 506, 3068, 236743, 236800, 236771, 2668, 531, 3050, 1144, 236789, 236751, 10944, 236761, 4298, 236764, 974, 496, 6376, 7606, 14415, 573, 506, 2148, 236743, 236832, 2668, 531, 4351, 506, 1791, 4301, 14069, 236761, 13472, 236764, 1385, 872, 506, 1873, 10248, 5371, 528, 27491, 531, 1281, 768, 993, 659, 1027, 4301, 14523, 653, 2404, 14400, 2794, 236761, 3792, 786, 1281, 1144, 611, 1586, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 19323, 1083, 3714, 7125, 1083, 3714, 1201, 1083, 623, 209489, 827, 623, 105000, 1083, 9296, 236800, 236800, 236761, 236812, 236812, 236828, 236819, 10442, 236832, 236771, 236761, 236825, 236825, 236819, 236800, 827, 623, 14801, 1083, 623, 168033, 23179, 623, 25441, 1083, 623, 38294, 827, 623, 2289, 236779, 23735, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 623, 6011, 1083, 3714, 28128, 236779, 7617, 236779, 236755, 1083, 236743, 236770, 236812, 236761, 236778, 236764, 623, 6725, 236779, 14630, 760, 236779, 3951, 1083, 236743, 236810, 236761, 236828, 236764, 623, 133321, 236779, 19323, 1083, 623, 7783, 586, 35898, 827, 623, 19323, 236779, 10332, 1083, 11058, 185060, 827, 623, 1655, 586, 236779, 12138, 236762, 827, 623, 3223, 236779, 1256, 152254, 623, 32320, 236779, 159331, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 7617, 236779, 1387, 236779, 236755, 1083, 236743, 236770, 236778, 236761, 236770, 236764, 623, 7617, 236779, 2074, 236779, 236755, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 44340, 236779, 3951, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 118538, 827, 623, 2602, 1083, 623, 185060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 7617, 236779, 1387, 236779, 236755, 1083, 236743, 236770, 236800, 236761, 236812, 236764, 623, 7617, 236779, 2074, 236779, 236755, 1083, 236743, 236778, 236771, 236761, 236828, 236764, 623, 44340, 236779, 3951, 1083, 236743, 236778, 236761, 236770, 236764, 623, 19323, 1083, 623, 12098, 6927, 827, 623, 2602, 1083, 623, 3223, 236779, 1256, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 7617, 236779, 1387, 236779, 236755, 1083, 236743, 236770, 236770, 236761, 236832, 236764, 623, 7617, 236779, 2074, 236779, 236755, 1083, 236743, 236770, 236819, 236761, 236810, 236764, 623, 44340, 236779, 3951, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 7783, 586, 35898, 827, 623, 2602, 1083, 623, 1655, 586, 236779, 12138, 236762, 25938, 1604, 623, 21052, 1083, 3714, 6265, 1083, 623, 818, 28789, 6503, 224417, 2154, 62986, 827, 623, 27617, 1083, 623, 38556, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 14356, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 13214, 236779, 23251, 1083, 3714, 6725, 236779, 16353, 1083, 236743, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236771, 236771, 236764, 623, 6725, 236779, 89132, 1083, 236743, 236832, 236812, 236770, 236771, 236810, 236828, 236819, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 41560, 1083, 78493, 1201, 1083, 623, 168033, 827, 623, 16353, 1083, 236743, 236800, 236778, 236832, 236810, 236771, 236771, 236771, 236764, 623, 89132, 1083, 236743, 236810, 236778, 236770, 236812, 236832, 236764, 623, 154237, 695, 1083, 236743, 236800, 236778, 236778, 236771, 236828, 236810, 236800, 236764, 623, 72156, 9836, 1083, 3714, 3846, 236779, 137953, 1083, 236743, 236770, 236812, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 1709, 10148, 236779, 236753, 12318, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 623, 5034, 236779, 16353, 1083, 236743, 236778, 236771, 236771, 236771, 236764, 623, 4002, 236779, 229247, 1083, 3714, 1080, 236779, 34734, 606, 1083, 623, 174652, 9952, 827, 623, 576, 34383, 236779, 27590, 1083, 623, 3771, 14523, 827, 623, 17541, 236779, 81521, 1083, 623, 9336, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 531, 1601, 2731, 822, 7946, 531, 44554, 236764, 27491, 236787, 108, 1018, 100368, 28789, 568, 9008, 236743, 236800, 236771, 27613, 1473, 1018, 107, 236772, 29748, 4022, 236787, 236743, 236770, 236812, 236761, 236778, 237366, 236780, 568, 8572, 236787, 236743, 236770, 236770, 236761, 236832, 237366, 236780, 531, 236743, 236778, 236778, 236761, 236800, 237366, 236780, 236768, 107, 236772, 96056, 22043, 35898, 607, 33743, 2214, 6927, 568, 236810, 236761, 236828, 3951, 2558, 31632, 236768, 107, 236772, 34980, 2668, 236787, 52489, 531, 22043, 35898, 607, 18790, 11139, 108, 1018, 236832, 236772, 13265, 74544, 53121, 107, 236772, 6156, 236743, 236770, 236787, 236743, 236770, 236770, 237366, 236780, 236772, 236778, 236770, 237366, 236780, 236764, 52489, 107, 236772, 6156, 236743, 236778, 236787, 236743, 236770, 236778, 237366, 236780, 236772, 236770, 236819, 237366, 236780, 236764, 10847, 6927, 107, 236772, 6156, 236743, 236800, 236787, 236743, 236770, 236771, 237366, 236780, 236772, 236778, 236771, 237366, 236780, 236764, 216726, 35898, 107, 236772, 6156, 236743, 236812, 236787, 236743, 236770, 236800, 237366, 236780, 236772, 236778, 236800, 237366, 236780, 236764, 52489, 107, 236772, 6156, 236743, 236810, 236787, 236743, 236770, 236812, 237366, 236780, 236772, 236778, 236778, 237366, 236780, 236764, 10847, 6927, 107, 236772, 6156, 236743, 236825, 236787, 236743, 236770, 236778, 237366, 236780, 236772, 236778, 236771, 237366, 236780, 236764, 216726, 35898, 107, 236772, 6156, 236743, 236832, 236787, 236743, 236770, 236770, 237366, 236780, 236772, 236770, 236819, 237366, 236780, 236764, 52489, 108, 1018, 87546, 5133, 61445, 528, 27491, 53121, 107, 236772, 12613, 3636, 236787, 236743, 236800, 236764, 236778, 236832, 236810, 236764, 236771, 236771, 236771, 107, 236772, 12613, 19867, 236787, 236743, 236810, 236778, 236764, 236770, 236812, 236832, 107, 236772, 53996, 9836, 236787, 236743, 236770, 236812, 236764, 236828, 236771, 236771, 236764, 236771, 236771, 236771, 6340, 42127, 568, 236832, 236819, 236908, 529, 5499, 236768, 107, 236772, 14040, 14523, 236787, 35755, 37929, 528, 21469, 9952, 107, 236772, 2301, 40928, 653, 7257, 6035, 573, 39393, 108, 89423, 18154, 1913, 506, 1171, 2321, 2668, 529, 506, 14415, 4771, 568, 185060, 2668, 236743, 236770, 236764, 236743, 236800, 236764, 532, 236743, 236812, 236768, 532, 3294, 12627, 573, 30927, 76831, 236761, 140185, 795, 577, 3149, 528, 21469, 1237, 9952, 840, 951, 1032, 14523, 659, 528, 1977, 236761, 669, 1494, 30604, 3136, 568, 236832, 236819, 11376, 12205, 10559, 3399, 6733, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 3517, 2523, 528, 44554, 236764, 27491, 236761, 5315, 236764, 2426, 506, 11858, 7606, 9935, 993, 1024, 506, 3068, 236743, 236800, 236771, 2668, 531, 3050, 1144, 236789, 236751, 10944, 236761, 4298, 236764, 974, 496, 6376, 7606, 14415, 573, 506, 2148, 236743, 236832, 2668, 531, 4351, 506, 1791, 4301, 14069, 236761, 13472, 236764, 1385, 872, 506, 1873, 10248, 5371, 528, 27491, 531, 1281, 768, 993, 659, 1027, 4301, 14523, 653, 2404, 14400, 2794, 236761, 3792, 786, 1281, 1144, 611, 1586, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 19323, 1083, 3714, 7125, 1083, 3714, 1201, 1083, 623, 209489, 827, 623, 105000, 1083, 9296, 236800, 236800, 236761, 236812, 236812, 236828, 236819, 10442, 236832, 236771, 236761, 236825, 236825, 236819, 236800, 827, 623, 14801, 1083, 623, 168033, 23179, 623, 25441, 1083, 623, 38294, 827, 623, 2289, 236779, 23735, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 23179, 623, 6011, 1083, 3714, 28128, 236779, 7617, 236779, 236755, 1083, 236743, 236770, 236812, 236761, 236778, 236764, 623, 6725, 236779, 14630, 760, 236779, 3951, 1083, 236743, 236810, 236761, 236828, 236764, 623, 133321, 236779, 19323, 1083, 623, 7783, 586, 35898, 827, 623, 19323, 236779, 10332, 1083, 11058, 185060, 827, 623, 1655, 586, 236779, 12138, 236762, 827, 623, 3223, 236779, 1256, 152254, 623, 32320, 236779, 159331, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 7617, 236779, 1387, 236779, 236755, 1083, 236743, 236770, 236778, 236761, 236770, 236764, 623, 7617, 236779, 2074, 236779, 236755, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 44340, 236779, 3951, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 118538, 827, 623, 2602, 1083, 623, 185060, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 7617, 236779, 1387, 236779, 236755, 1083, 236743, 236770, 236800, 236761, 236812, 236764, 623, 7617, 236779, 2074, 236779, 236755, 1083, 236743, 236778, 236771, 236761, 236828, 236764, 623, 44340, 236779, 3951, 1083, 236743, 236778, 236761, 236770, 236764, 623, 19323, 1083, 623, 12098, 6927, 827, 623, 2602, 1083, 623, 3223, 236779, 1256, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 7617, 236779, 1387, 236779, 236755, 1083, 236743, 236770, 236770, 236761, 236832, 236764, 623, 7617, 236779, 2074, 236779, 236755, 1083, 236743, 236770, 236819, 236761, 236810, 236764, 623, 44340, 236779, 3951, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 1083, 623, 7783, 586, 35898, 827, 623, 2602, 1083, 623, 1655, 586, 236779, 12138, 236762, 25938, 1604, 623, 21052, 1083, 3714, 6265, 1083, 623, 818, 28789, 6503, 224417, 2154, 62986, 827, 623, 27617, 1083, 623, 38556, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 14356, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 13214, 236779, 23251, 1083, 3714, 6725, 236779, 16353, 1083, 236743, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236771, 236771, 236764, 623, 6725, 236779, 89132, 1083, 236743, 236832, 236812, 236770, 236771, 236810, 236828, 236819, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 41560, 1083, 78493, 1201, 1083, 623, 168033, 827, 623, 16353, 1083, 236743, 236800, 236778, 236832, 236810, 236771, 236771, 236771, 236764, 623, 89132, 1083, 236743, 236810, 236778, 236770, 236812, 236832, 236764, 623, 154237, 695, 1083, 236743, 236800, 236778, 236778, 236771, 236828, 236810, 236800, 236764, 623, 72156, 9836, 1083, 3714, 3846, 236779, 137953, 1083, 236743, 236770, 236812, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 1709, 10148, 236779, 236753, 12318, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 623, 5034, 236779, 16353, 1083, 236743, 236778, 236771, 236771, 236771, 236764, 623, 4002, 236779, 229247, 1083, 3714, 1080, 236779, 34734, 606, 1083, 623, 174652, 9952, 827, 623, 576, 34383, 236779, 27590, 1083, 623, 3771, 14523, 827, 623, 17541, 236779, 81521, 1083, 623, 9336, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 531, 1601, 2731, 822, 7946, 531, 44554, 236764, 27491, 236787, 108, 1018, 100368, 28789, 568, 9008, 236743, 236800, 236771, 27613, 1473, 1018, 107, 236772, 29748, 4022, 236787, 236743, 236770, 236812, 236761, 236778, 237366, 236780, 568, 8572, 236787, 236743, 236770, 236770, 236761, 236832, 237366, 236780, 531, 236743, 236778, 236778, 236761, 236800, 237366, 236780, 236768, 107, 236772, 96056, 22043, 35898, 607, 33743, 2214, 6927, 568, 236810, 236761, 236828, 3951, 2558, 31632, 236768, 107, 236772, 34980, 2668, 236787, 52489, 531, 22043, 35898, 607, 18790, 11139, 108, 1018, 236832, 236772, 13265, 74544, 53121, 107, 236772, 6156, 236743, 236770, 236787, 236743, 236770, 236770, 237366, 236780, 236772, 236778, 236770, 237366, 236780, 236764, 52489, 107, 236772, 6156, 236743, 236778, 236787, 236743, 236770, 236778, 237366, 236780, 236772, 236770, 236819, 237366, 236780, 236764, 10847, 6927, 107, 236772, 6156, 236743, 236800, 236787, 236743, 236770, 236771, 237366, 236780, 236772, 236778, 236771, 237366, 236780, 236764, 216726, 35898, 107, 236772, 6156, 236743, 236812, 236787, 236743, 236770, 236800, 237366, 236780, 236772, 236778, 236800, 237366, 236780, 236764, 52489, 107, 236772, 6156, 236743, 236810, 236787, 236743, 236770, 236812, 237366, 236780, 236772, 236778, 236778, 237366, 236780, 236764, 10847, 6927, 107, 236772, 6156, 236743, 236825, 236787, 236743, 236770, 236778, 237366, 236780, 236772, 236778, 236771, 237366, 236780, 236764, 216726, 35898, 107, 236772, 6156, 236743, 236832, 236787, 236743, 236770, 236770, 237366, 236780, 236772, 236770, 236819, 237366, 236780, 236764, 52489, 108, 1018, 87546, 5133, 61445, 528, 27491, 53121, 107, 236772, 12613, 3636, 236787, 236743, 236800, 236764, 236778, 236832, 236810, 236764, 236771, 236771, 236771, 107, 236772, 12613, 19867, 236787, 236743, 236810, 236778, 236764, 236770, 236812, 236832, 107, 236772, 53996, 9836, 236787, 236743, 236770, 236812, 236764, 236828, 236771, 236771, 236764, 236771, 236771, 236771, 6340, 42127, 568, 236832, 236819, 236908, 529, 5499, 236768, 107, 236772, 14040, 14523, 236787, 35755, 37929, 528, 21469, 9952, 107, 236772, 2301, 40928, 653, 7257, 6035, 573, 39393, 108, 89423, 18154, 1913, 506, 1171, 2321, 2668, 529, 506, 14415, 4771, 568, 185060, 2668, 236743, 236770, 236764, 236743, 236800, 236764, 532, 236743, 236812, 236768, 532, 3294, 12627, 573, 30927, 76831, 236761, 140185, 795, 577, 3149, 528, 21469, 1237, 9952, 840, 951, 1032, 14523, 659, 528, 1977, 236761, 669, 1494, 30604, 3136, 568, 236832, 236819, 11376, 12205, 10559, 3399, 6733, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236858, 560, 1010, 14049, 872, 496, 12978, 528, 1041, 8351, 236764, 840, 564, 1461, 531, 2056, 2613, 496, 3103, 1607, 672, 9735, 236761, 28344, 611, 1601, 786, 1586, 1070, 24636, 34499, 129379, 23642, 573, 808, 516, 27244, 591, 83419, 3201, 236829, 532, 808, 105467, 1284, 618, 1438, 236829, 600, 735, 496, 4532, 26339, 236881, 564, 236858, 236753, 2765, 531, 5274, 607, 861, 8403, 840, 2036, 2514, 506, 12556, 529, 506, 13415, 32990, 236761, 3792, 236858, 236751, 1460, 1144, 611, 740, 3137, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 162890, 129379, 1572, 27244, 591, 30410, 3201, 607, 555, 144833, 16405, 5038, 827, 623, 77095, 1083, 11058, 236770, 8578, 34499, 129379, 236772, 3061, 83419, 3201, 568, 236758, 58423, 38913, 22730, 623, 236778, 27370, 95378, 12878, 827, 623, 236773, 144833, 236772, 167367, 12480, 71072, 827, 623, 9858, 2560, 3826, 77250, 827, 623, 236780, 53059, 530, 532, 135616, 827, 623, 80353, 216147, 568, 31162, 573, 4532, 26339, 236768, 14255, 623, 96654, 1083, 623, 44364, 12878, 607, 122076, 236764, 3944, 83419, 3201, 528, 121188, 3025, 236764, 17794, 607, 71072, 532, 77250, 236761, 37615, 236772, 14905, 573, 236743, 236778, 236771, 4310, 236761, 667, 64127, 607, 66799, 216147, 1976, 79479, 10498, 623, 115828, 835, 236779, 3906, 1083, 623, 108803, 8225, 5086, 2487, 568, 181778, 216147, 16291, 1263, 3714, 3250, 1083, 623, 3258, 574, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 1773, 1438, 73845, 74675, 607, 3647, 1797, 7585, 12604, 827, 623, 77095, 1083, 11058, 236812, 236828, 236772, 13807, 14940, 7812, 29042, 17198, 827, 623, 63190, 772, 49958, 147874, 827, 623, 11746, 1797, 21836, 9095, 827, 623, 15760, 10593, 44685, 96210, 827, 623, 134277, 49884, 32892, 14255, 623, 96654, 1083, 623, 9585, 8074, 29042, 528, 772, 49958, 236764, 14940, 7812, 657, 236743, 236770, 236825, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 573, 236743, 236770, 236778, 3885, 236761, 7585, 12604, 607, 20067, 227428, 21836, 1680, 14222, 522, 236761, 68988, 607, 47195, 236772, 110691, 124615, 10498, 623, 115828, 835, 236779, 3906, 1083, 623, 22297, 11125, 236772, 6796, 568, 35203, 147874, 6097, 951, 19105, 16510, 16291, 104960, 623, 85038, 847, 1083, 11058, 27455, 506, 122076, 123455, 618, 496, 3225, 573, 28976, 20411, 31454, 756, 1493, 236746, 236789, 573, 496, 19549, 13392, 827, 623, 29452, 674, 574, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 607, 31255, 236772, 43597, 25483, 573, 15994, 236772, 96391, 84137, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1156, 24636, 34499, 129379, 23642, 607, 4532, 76589, 600, 236858, 859, 64460, 822, 9735, 14049, 236787, 108, 10354, 236743, 250367, 5213, 2023, 27244, 591, 30410, 3201, 13806, 1662, 1018, 107, 1018, 162890, 129379, 1572, 27244, 591, 30410, 3201, 607, 555, 144833, 16405, 5038, 1018, 138, 107, 236772, 5213, 32899, 95450, 66515, 555, 144833, 236772, 167367, 71072, 54238, 6672, 2459, 12350, 4446, 573, 496, 13935, 236764, 44157, 3225, 236761, 138, 107, 236772, 5213, 64690, 66515, 34873, 3604, 12878, 236764, 83419, 3201, 236764, 14976, 115244, 236764, 3826, 77250, 236764, 532, 19331, 66799, 216147, 1976, 79479, 236761, 138, 107, 236772, 5213, 1489, 42272, 66515, 669, 4204, 236772, 74983, 1996, 19945, 1679, 990, 1651, 44257, 18434, 8744, 236761, 138, 108, 10354, 236743, 250981, 5213, 3258, 574, 1284, 1773, 1438, 47323, 1260, 524, 1018, 138, 107, 1018, 3258, 574, 1284, 1773, 1438, 73845, 74675, 607, 3647, 1797, 7585, 12604, 1018, 138, 107, 236772, 5213, 32899, 95450, 66515, 236743, 236812, 236828, 236772, 13807, 14940, 7812, 29042, 17198, 33481, 607, 496, 227428, 21836, 9095, 236761, 138, 107, 236772, 5213, 150143, 64679, 66515, 160814, 506, 75521, 573, 60630, 1854, 236764, 1299, 1903, 607, 47715, 49884, 532, 47195, 124615, 573, 7595, 236761, 138, 107, 236772, 5213, 99419, 835, 7918, 66515, 163678, 236772, 6796, 1056, 1699, 11583, 980, 5205, 529, 19105, 16510, 236761, 138, 108, 10354, 47374, 217087, 45914, 138, 107, 236770, 236761, 5213, 2023, 27244, 10116, 66515, 6890, 506, 122076, 12878, 618, 496, 4086, 573, 28976, 20411, 31454, 623, 1493, 236746, 236775, 568, 1179, 1192, 7156, 20411, 31454, 528, 44018, 30336, 16510, 236768, 573, 496, 3732, 236772, 5140, 19549, 13392, 236761, 138, 107, 236778, 236761, 5213, 3258, 574, 1284, 1973, 1194, 66515, 4140, 496, 6600, 650, 529, 31255, 236772, 43597, 25483, 573, 496, 17795, 15994, 236772, 96391, 9009, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 100939, 653, 10135, 39364, 19205, 236888, 236743, 246289, 239794, 106, 107, 105, 2364, 107, 12879, 573, 1724, 6549, 236888, 564, 236858, 236757, 6412, 23210, 1003, 506, 808, 516, 27244, 591, 83419, 3201, 236829, 607, 122076, 237028, 59047, 28149, 236764, 840, 564, 1461, 531, 2514, 625, 2523, 236772, 18865, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 3364, 100939, 573, 122076, 600, 659, 8722, 531, 1586, 653, 24412, 236881, 6542, 236764, 564, 236858, 236753, 2765, 496, 2678, 13415, 25809, 600, 14491, 1388, 607, 1239, 47862, 840, 5889, 236858, 236745, 2311, 15381, 236761, 15704, 2613, 1041, 222549, 740, 1601, 607, 528, 506, 8351, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 12103, 1083, 78493, 3250, 1083, 623, 2023, 27244, 591, 30410, 3201, 568, 162890, 129379, 32494, 607, 197581, 178377, 22730, 623, 2204, 3069, 3474, 1083, 78493, 17368, 236779, 150673, 1083, 623, 236751, 144833, 25843, 827, 623, 36988, 4853, 1083, 11058, 30430, 71741, 568, 236770, 236786, 236812, 72881, 108802, 900, 236743, 236770, 72881, 3425, 1813, 573, 2258, 22730, 623, 62251, 30424, 568, 200847, 653, 9380, 573, 116457, 18434, 22730, 623, 1132, 12350, 15003, 568, 177927, 528, 6962, 1813, 573, 2258, 236768, 99471, 1604, 623, 10774, 236779, 18865, 236779, 1901, 8112, 1083, 11058, 10896, 18790, 216147, 5205, 529, 44018, 573, 9989, 236772, 18865, 3567, 827, 623, 3218, 138748, 55529, 532, 3826, 21556, 573, 4481, 76173, 99471, 1604, 623, 62353, 236779, 2897, 236779, 2763, 1808, 1083, 78493, 3250, 1083, 623, 236774, 731, 2699, 591, 174827, 827, 623, 7777, 1083, 623, 30379, 762, 236772, 47554, 3732, 2279, 607, 29508, 82181, 16510, 753, 3735, 573, 6214, 531, 1601, 607, 66050, 827, 623, 91963, 236779, 2289, 1083, 623, 236778, 236771, 4310, 23179, 3714, 3250, 1083, 623, 2730, 11506, 1499, 569, 52615, 2423, 827, 623, 7777, 1083, 623, 22575, 61944, 20468, 607, 26677, 17926, 532, 5756, 22892, 753, 11893, 90835, 3149, 827, 623, 91963, 236779, 2289, 1083, 623, 236770, 236771, 4310, 25938, 1604, 623, 135887, 236779, 63875, 1083, 11058, 4324, 628, 2459, 12350, 15003, 528, 6962, 1813, 573, 236743, 236770, 236771, 4310, 531, 5588, 2258, 1680, 1699, 528, 12878, 827, 623, 6481, 6214, 4113, 532, 6921, 506, 121188, 3025, 13153, 528, 496, 72413, 568, 4060, 26084, 236768, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 236773, 144833, 210348, 3332, 573, 1572, 27244, 591, 30410, 3201, 827, 623, 2204, 3069, 3474, 1083, 11058, 30727, 71741, 568, 236770, 236786, 236812, 72881, 108802, 900, 236743, 236770, 236786, 236828, 72881, 129882, 810, 236743, 236770, 236786, 236812, 72881, 122076, 22730, 623, 23524, 12350, 15003, 568, 2906, 838, 236743, 236770, 72881, 15003, 528, 236743, 236778, 107072, 3425, 1813, 573, 236743, 236770, 236771, 4310, 236768, 14255, 623, 23184, 1083, 623, 30727, 71741, 4728, 2258, 840, 2344, 18434, 16783, 236793, 2459, 12350, 5469, 496, 12532, 18434, 4241, 657, 3718, 2157, 23179, 3714, 3250, 1083, 623, 204121, 15748, 662, 190503, 568, 80066, 236772, 83899, 16811, 22730, 623, 77095, 1083, 11058, 236778, 35923, 3732, 2279, 827, 623, 236770, 236786, 236800, 8578, 31255, 76536, 827, 623, 236778, 107072, 21949, 827, 623, 236770, 72881, 47442, 827, 623, 236770, 236786, 236812, 72881, 166706, 14255, 623, 96654, 1083, 623, 236770, 236761, 112034, 3732, 2279, 127808, 236761, 236743, 236778, 236761, 195062, 607, 47925, 31255, 4446, 236761, 236743, 236800, 236761, 29785, 6299, 13153, 532, 15674, 3732, 2279, 236761, 236743, 236812, 236761, 85888, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236778, 236771, 236772, 236778, 236810, 46205, 236764, 82232, 49817, 827, 623, 219202, 1083, 623, 94562, 13275, 607, 34499, 129379, 47862, 753, 9380, 18434, 41131, 110169, 19292, 25938, 1604, 623, 85038, 567, 236779, 8318, 1083, 236743, 236812, 236761, 236832, 236764, 623, 91963, 236779, 2289, 236779, 7212, 1083, 623, 6460, 236779, 236800, 236771, 236779, 63200, 25938, 106, 107, 105, 4368, 107, 8291, 659, 10231, 100939, 532, 2678, 13415, 6549, 573, 822, 2523, 236772, 18865, 34499, 129379, 49871, 236787, 108, 1018, 236773, 144833, 210348, 3332, 573, 1572, 27244, 591, 30410, 3201, 1018, 236743, 248265, 138, 107, 236770, 236761, 5213, 30727, 71741, 900, 24028, 30424, 568, 17043, 29125, 19993, 62902, 138, 107, 139, 236772, 6890, 81568, 72881, 108802, 900, 236743, 248978, 72881, 59010, 129882, 810, 81568, 72881, 122076, 138, 107, 139, 236772, 64253, 28239, 2258, 532, 29110, 7764, 1583, 138, 107, 236778, 236761, 5213, 23524, 12350, 81050, 568, 1829, 27744, 172665, 28253, 62902, 138, 107, 139, 236772, 185200, 236743, 236770, 72881, 15003, 528, 236743, 236778, 107072, 3425, 1813, 573, 236743, 236770, 236771, 4310, 138, 107, 139, 236772, 86511, 6672, 2258, 532, 18790, 181604, 18434, 138, 108, 1018, 80066, 236772, 83899, 19222, 226754, 1018, 236743, 246765, 138, 107, 236770, 236761, 5213, 2730, 11506, 1499, 569, 52615, 2423, 568, 236770, 236771, 236772, 83552, 229060, 80663, 62902, 138, 107, 139, 236772, 75012, 103842, 532, 2604, 32159, 236764, 30366, 607, 26677, 17926, 236764, 26012, 4446, 236764, 22892, 236764, 532, 496, 57813, 529, 9551, 138, 107, 139, 236772, 26451, 740, 4113, 13153, 532, 27299, 22892, 6895, 138, 107, 236778, 236761, 5213, 204121, 15748, 662, 190503, 568, 236799, 873, 13884, 529, 38355, 62902, 138, 107, 139, 236772, 112034, 3732, 2279, 236764, 30366, 607, 31255, 4446, 236764, 15674, 528, 47442, 236772, 89325, 6921, 236764, 532, 48301, 657, 236743, 236800, 236832, 236810, 237366, 236811, 568, 236770, 236819, 236771, 237366, 236780, 236768, 138, 107, 139, 236772, 7997, 60265, 740, 1601, 15674, 506, 3732, 2279, 532, 92531, 31255, 76536, 138, 108, 1018, 1489, 42272, 66515, 3792, 506, 6214, 6921, 506, 121188, 3025, 13153, 528, 496, 72413, 568, 4060, 26084, 236768, 531, 11719, 1091, 528, 506, 1689, 13415, 4866, 236761, 138, 108, 30134, 1027, 30981, 573, 33901, 3548, 653, 10135, 39364, 19205, 236881, 236743, 246289, 106, 107, 105, 2364, 107, 12879, 573, 506, 11221, 236888, 669, 6214, 795, 2765, 9795, 607, 506, 3732, 662, 54850, 237028, 3480, 564, 2473, 1202, 531, 2426, 768, 564, 735, 3487, 31255, 76536, 528, 506, 77155, 236761, 54591, 529, 28968, 236764, 564, 236858, 560, 1010, 99447, 531, 1441, 1070, 808, 236763, 45666, 236829, 4252, 1913, 12441, 840, 740, 236858, 236745, 5630, 506, 5618, 529, 9760, 35598, 236761, 28344, 611, 5840, 496, 2321, 6672, 34499, 129379, 35598, 653, 11421, 600, 6727, 1388, 607, 496, 83862, 13294, 1133, 672, 236881, 33128, 600, 236858, 859, 1386, 506, 222549, 6309, 872, 910, 44661, 532, 12847, 1308, 11293, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 29889, 236779, 3250, 1083, 623, 236799, 45666, 569, 34499, 43008, 827, 623, 31040, 1083, 623, 18939, 1973, 1026, 585, 569, 759, 236743, 236778, 236770, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236810, 236764, 623, 56036, 1083, 623, 236763, 45666, 25938, 107, 14937, 29889, 236779, 3250, 1083, 623, 30492, 236785, 236756, 236771, 236771, 524, 1426, 569, 34873, 3604, 827, 623, 31040, 1083, 623, 236874, 516, 737, 236785, 236756, 236771, 236771, 524, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236828, 236764, 623, 56036, 1083, 623, 236763, 45666, 25938, 107, 14937, 29889, 236779, 3250, 1083, 623, 236799, 45666, 570, 1973, 3320, 236787, 630, 18818, 1356, 529, 34499, 43008, 827, 623, 31040, 1083, 623, 99839, 21152, 26340, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 56036, 1083, 623, 236763, 45666, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1806, 5250, 34499, 129379, 95378, 35598, 600, 236858, 859, 3437, 37017, 2778, 531, 822, 12441, 2633, 532, 974, 1724, 2268, 6172, 6049, 236787, 108, 10354, 236743, 247087, 5213, 83738, 214389, 1018, 138, 107, 236770, 236761, 5213, 236775, 236799, 45666, 569, 34499, 43008, 236775, 568, 236770, 236819, 236819, 236810, 62902, 684, 808, 18939, 1973, 1026, 585, 569, 759, 236743, 236778, 236770, 236829, 138, 107, 139, 236772, 562, 55488, 573, 6672, 95378, 89970, 236761, 82678, 1133, 165996, 236773, 17170, 236898, 147698, 659, 4011, 573, 10299, 6214, 506, 35439, 529, 95378, 22974, 236761, 138, 108, 236778, 236761, 5213, 236775, 30492, 236928, 1426, 569, 34873, 3604, 236775, 568, 236778, 236771, 236771, 236828, 62902, 684, 808, 236874, 516, 737, 236928, 236829, 138, 107, 139, 236772, 2376, 2068, 10445, 236764, 116457, 87244, 607, 2246, 236772, 624, 236772, 6275, 48528, 236761, 669, 4087, 165996, 236799, 45666, 4524, 236858, 236752, 667, 2156, 147698, 563, 496, 15678, 236772, 942, 15738, 573, 1061, 60902, 15295, 236761, 138, 108, 10354, 236743, 243336, 5213, 32899, 47374, 1018, 138, 107, 236800, 236761, 5213, 236775, 236799, 45666, 570, 1973, 3320, 236787, 630, 18818, 1356, 529, 34499, 43008, 236775, 568, 236778, 236771, 236770, 236812, 62902, 684, 808, 99839, 21152, 26340, 236829, 138, 107, 139, 236772, 21807, 1472, 95378, 607, 113349, 568, 51208, 34499, 129379, 18355, 236768, 573, 496, 45489, 6921, 236761, 165996, 236874, 1525, 236859, 895, 1525, 236859, 147698, 815, 496, 108066, 12222, 7436, 573, 1868, 236772, 140391, 12847, 236772, 22313, 236761, 138, 108, 1018, 1489, 42272, 66515, 9274, 506, 35598, 528, 1900, 237028, 2543, 9760, 531, 4532, 237028, 1071, 1769, 822, 2523, 580, 496, 13906, 9338, 1343, 95378, 236858, 236751, 11294, 236761, 58108, 607, 506, 31255, 3732, 662, 54850, 573, 496, 9380, 2980, 1651, 22974, 236888, 138, 108, 30134, 1601, 8159, 3530, 16710, 653, 45375, 529, 506, 31866, 573, 54491, 236881, 236743, 244722, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236858, 560, 1010, 14049, 872, 496, 12978, 528, 1041, 8351, 236764, 840, 564, 1461, 531, 2056, 2613, 496, 3103, 1607, 672, 9735, 236761, 28344, 611, 1601, 786, 1586, 1070, 24636, 34499, 129379, 23642, 573, 808, 516, 27244, 591, 83419, 3201, 236829, 532, 808, 105467, 1284, 618, 1438, 236829, 600, 735, 496, 4532, 26339, 236881, 564, 236858, 236753, 2765, 531, 5274, 607, 861, 8403, 840, 2036, 2514, 506, 12556, 529, 506, 13415, 32990, 236761, 3792, 236858, 236751, 1460, 1144, 611, 740, 3137, 872, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 162890, 129379, 1572, 27244, 591, 30410, 3201, 607, 555, 144833, 16405, 5038, 827, 623, 77095, 1083, 11058, 236770, 8578, 34499, 129379, 236772, 3061, 83419, 3201, 568, 236758, 58423, 38913, 22730, 623, 236778, 27370, 95378, 12878, 827, 623, 236773, 144833, 236772, 167367, 12480, 71072, 827, 623, 9858, 2560, 3826, 77250, 827, 623, 236780, 53059, 530, 532, 135616, 827, 623, 80353, 216147, 568, 31162, 573, 4532, 26339, 236768, 14255, 623, 96654, 1083, 623, 44364, 12878, 607, 122076, 236764, 3944, 83419, 3201, 528, 121188, 3025, 236764, 17794, 607, 71072, 532, 77250, 236761, 37615, 236772, 14905, 573, 236743, 236778, 236771, 4310, 236761, 667, 64127, 607, 66799, 216147, 1976, 79479, 10498, 623, 115828, 835, 236779, 3906, 1083, 623, 108803, 8225, 5086, 2487, 568, 181778, 216147, 16291, 1263, 3714, 3250, 1083, 623, 3258, 574, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 1773, 1438, 73845, 74675, 607, 3647, 1797, 7585, 12604, 827, 623, 77095, 1083, 11058, 236812, 236828, 236772, 13807, 14940, 7812, 29042, 17198, 827, 623, 63190, 772, 49958, 147874, 827, 623, 11746, 1797, 21836, 9095, 827, 623, 15760, 10593, 44685, 96210, 827, 623, 134277, 49884, 32892, 14255, 623, 96654, 1083, 623, 9585, 8074, 29042, 528, 772, 49958, 236764, 14940, 7812, 657, 236743, 236770, 236825, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 573, 236743, 236770, 236778, 3885, 236761, 7585, 12604, 607, 20067, 227428, 21836, 1680, 14222, 522, 236761, 68988, 607, 47195, 236772, 110691, 124615, 10498, 623, 115828, 835, 236779, 3906, 1083, 623, 22297, 11125, 236772, 6796, 568, 35203, 147874, 6097, 951, 19105, 16510, 16291, 104960, 623, 85038, 847, 1083, 11058, 27455, 506, 122076, 123455, 618, 496, 3225, 573, 28976, 20411, 31454, 756, 1493, 236746, 236789, 573, 496, 19549, 13392, 827, 623, 29452, 674, 574, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 607, 31255, 236772, 43597, 25483, 573, 15994, 236772, 96391, 84137, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1156, 24636, 34499, 129379, 23642, 607, 4532, 76589, 600, 236858, 859, 64460, 822, 9735, 14049, 236787, 108, 10354, 236743, 250367, 5213, 2023, 27244, 591, 30410, 3201, 13806, 1662, 1018, 107, 1018, 162890, 129379, 1572, 27244, 591, 30410, 3201, 607, 555, 144833, 16405, 5038, 1018, 138, 107, 236772, 5213, 32899, 95450, 66515, 555, 144833, 236772, 167367, 71072, 54238, 6672, 2459, 12350, 4446, 573, 496, 13935, 236764, 44157, 3225, 236761, 138, 107, 236772, 5213, 64690, 66515, 34873, 3604, 12878, 236764, 83419, 3201, 236764, 14976, 115244, 236764, 3826, 77250, 236764, 532, 19331, 66799, 216147, 1976, 79479, 236761, 138, 107, 236772, 5213, 1489, 42272, 66515, 669, 4204, 236772, 74983, 1996, 19945, 1679, 990, 1651, 44257, 18434, 8744, 236761, 138, 108, 10354, 236743, 250981, 5213, 3258, 574, 1284, 1773, 1438, 47323, 1260, 524, 1018, 138, 107, 1018, 3258, 574, 1284, 1773, 1438, 73845, 74675, 607, 3647, 1797, 7585, 12604, 1018, 138, 107, 236772, 5213, 32899, 95450, 66515, 236743, 236812, 236828, 236772, 13807, 14940, 7812, 29042, 17198, 33481, 607, 496, 227428, 21836, 9095, 236761, 138, 107, 236772, 5213, 150143, 64679, 66515, 160814, 506, 75521, 573, 60630, 1854, 236764, 1299, 1903, 607, 47715, 49884, 532, 47195, 124615, 573, 7595, 236761, 138, 107, 236772, 5213, 99419, 835, 7918, 66515, 163678, 236772, 6796, 1056, 1699, 11583, 980, 5205, 529, 19105, 16510, 236761, 138, 108, 10354, 47374, 217087, 45914, 138, 107, 236770, 236761, 5213, 2023, 27244, 10116, 66515, 6890, 506, 122076, 12878, 618, 496, 4086, 573, 28976, 20411, 31454, 623, 1493, 236746, 236775, 568, 1179, 1192, 7156, 20411, 31454, 528, 44018, 30336, 16510, 236768, 573, 496, 3732, 236772, 5140, 19549, 13392, 236761, 138, 107, 236778, 236761, 5213, 3258, 574, 1284, 1973, 1194, 66515, 4140, 496, 6600, 650, 529, 31255, 236772, 43597, 25483, 573, 496, 17795, 15994, 236772, 96391, 9009, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 100939, 653, 10135, 39364, 19205, 236888, 236743, 246289, 239794, 106, 107, 105, 2364, 107, 12879, 573, 1724, 6549, 236888, 564, 236858, 236757, 6412, 23210, 1003, 506, 808, 516, 27244, 591, 83419, 3201, 236829, 607, 122076, 237028, 59047, 28149, 236764, 840, 564, 1461, 531, 2514, 625, 2523, 236772, 18865, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 3364, 100939, 573, 122076, 600, 659, 8722, 531, 1586, 653, 24412, 236881, 6542, 236764, 564, 236858, 236753, 2765, 496, 2678, 13415, 25809, 600, 14491, 1388, 607, 1239, 47862, 840, 5889, 236858, 236745, 2311, 15381, 236761, 15704, 2613, 1041, 222549, 740, 1601, 607, 528, 506, 8351, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 12103, 1083, 78493, 3250, 1083, 623, 2023, 27244, 591, 30410, 3201, 568, 162890, 129379, 32494, 607, 197581, 178377, 22730, 623, 2204, 3069, 3474, 1083, 78493, 17368, 236779, 150673, 1083, 623, 236751, 144833, 25843, 827, 623, 36988, 4853, 1083, 11058, 30430, 71741, 568, 236770, 236786, 236812, 72881, 108802, 900, 236743, 236770, 72881, 3425, 1813, 573, 2258, 22730, 623, 62251, 30424, 568, 200847, 653, 9380, 573, 116457, 18434, 22730, 623, 1132, 12350, 15003, 568, 177927, 528, 6962, 1813, 573, 2258, 236768, 99471, 1604, 623, 10774, 236779, 18865, 236779, 1901, 8112, 1083, 11058, 10896, 18790, 216147, 5205, 529, 44018, 573, 9989, 236772, 18865, 3567, 827, 623, 3218, 138748, 55529, 532, 3826, 21556, 573, 4481, 76173, 99471, 1604, 623, 62353, 236779, 2897, 236779, 2763, 1808, 1083, 78493, 3250, 1083, 623, 236774, 731, 2699, 591, 174827, 827, 623, 7777, 1083, 623, 30379, 762, 236772, 47554, 3732, 2279, 607, 29508, 82181, 16510, 753, 3735, 573, 6214, 531, 1601, 607, 66050, 827, 623, 91963, 236779, 2289, 1083, 623, 236778, 236771, 4310, 23179, 3714, 3250, 1083, 623, 2730, 11506, 1499, 569, 52615, 2423, 827, 623, 7777, 1083, 623, 22575, 61944, 20468, 607, 26677, 17926, 532, 5756, 22892, 753, 11893, 90835, 3149, 827, 623, 91963, 236779, 2289, 1083, 623, 236770, 236771, 4310, 25938, 1604, 623, 135887, 236779, 63875, 1083, 11058, 4324, 628, 2459, 12350, 15003, 528, 6962, 1813, 573, 236743, 236770, 236771, 4310, 531, 5588, 2258, 1680, 1699, 528, 12878, 827, 623, 6481, 6214, 4113, 532, 6921, 506, 121188, 3025, 13153, 528, 496, 72413, 568, 4060, 26084, 236768, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 236773, 144833, 210348, 3332, 573, 1572, 27244, 591, 30410, 3201, 827, 623, 2204, 3069, 3474, 1083, 11058, 30727, 71741, 568, 236770, 236786, 236812, 72881, 108802, 900, 236743, 236770, 236786, 236828, 72881, 129882, 810, 236743, 236770, 236786, 236812, 72881, 122076, 22730, 623, 23524, 12350, 15003, 568, 2906, 838, 236743, 236770, 72881, 15003, 528, 236743, 236778, 107072, 3425, 1813, 573, 236743, 236770, 236771, 4310, 236768, 14255, 623, 23184, 1083, 623, 30727, 71741, 4728, 2258, 840, 2344, 18434, 16783, 236793, 2459, 12350, 5469, 496, 12532, 18434, 4241, 657, 3718, 2157, 23179, 3714, 3250, 1083, 623, 204121, 15748, 662, 190503, 568, 80066, 236772, 83899, 16811, 22730, 623, 77095, 1083, 11058, 236778, 35923, 3732, 2279, 827, 623, 236770, 236786, 236800, 8578, 31255, 76536, 827, 623, 236778, 107072, 21949, 827, 623, 236770, 72881, 47442, 827, 623, 236770, 236786, 236812, 72881, 166706, 14255, 623, 96654, 1083, 623, 236770, 236761, 112034, 3732, 2279, 127808, 236761, 236743, 236778, 236761, 195062, 607, 47925, 31255, 4446, 236761, 236743, 236800, 236761, 29785, 6299, 13153, 532, 15674, 3732, 2279, 236761, 236743, 236812, 236761, 85888, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236778, 236771, 236772, 236778, 236810, 46205, 236764, 82232, 49817, 827, 623, 219202, 1083, 623, 94562, 13275, 607, 34499, 129379, 47862, 753, 9380, 18434, 41131, 110169, 19292, 25938, 1604, 623, 85038, 567, 236779, 8318, 1083, 236743, 236812, 236761, 236832, 236764, 623, 91963, 236779, 2289, 236779, 7212, 1083, 623, 6460, 236779, 236800, 236771, 236779, 63200, 25938, 106, 107, 105, 4368, 107, 8291, 659, 10231, 100939, 532, 2678, 13415, 6549, 573, 822, 2523, 236772, 18865, 34499, 129379, 49871, 236787, 108, 1018, 236773, 144833, 210348, 3332, 573, 1572, 27244, 591, 30410, 3201, 1018, 236743, 248265, 138, 107, 236770, 236761, 5213, 30727, 71741, 900, 24028, 30424, 568, 17043, 29125, 19993, 62902, 138, 107, 139, 236772, 6890, 81568, 72881, 108802, 900, 236743, 248978, 72881, 59010, 129882, 810, 81568, 72881, 122076, 138, 107, 139, 236772, 64253, 28239, 2258, 532, 29110, 7764, 1583, 138, 107, 236778, 236761, 5213, 23524, 12350, 81050, 568, 1829, 27744, 172665, 28253, 62902, 138, 107, 139, 236772, 185200, 236743, 236770, 72881, 15003, 528, 236743, 236778, 107072, 3425, 1813, 573, 236743, 236770, 236771, 4310, 138, 107, 139, 236772, 86511, 6672, 2258, 532, 18790, 181604, 18434, 138, 108, 1018, 80066, 236772, 83899, 19222, 226754, 1018, 236743, 246765, 138, 107, 236770, 236761, 5213, 2730, 11506, 1499, 569, 52615, 2423, 568, 236770, 236771, 236772, 83552, 229060, 80663, 62902, 138, 107, 139, 236772, 75012, 103842, 532, 2604, 32159, 236764, 30366, 607, 26677, 17926, 236764, 26012, 4446, 236764, 22892, 236764, 532, 496, 57813, 529, 9551, 138, 107, 139, 236772, 26451, 740, 4113, 13153, 532, 27299, 22892, 6895, 138, 107, 236778, 236761, 5213, 204121, 15748, 662, 190503, 568, 236799, 873, 13884, 529, 38355, 62902, 138, 107, 139, 236772, 112034, 3732, 2279, 236764, 30366, 607, 31255, 4446, 236764, 15674, 528, 47442, 236772, 89325, 6921, 236764, 532, 48301, 657, 236743, 236800, 236832, 236810, 237366, 236811, 568, 236770, 236819, 236771, 237366, 236780, 236768, 138, 107, 139, 236772, 7997, 60265, 740, 1601, 15674, 506, 3732, 2279, 532, 92531, 31255, 76536, 138, 108, 1018, 1489, 42272, 66515, 3792, 506, 6214, 6921, 506, 121188, 3025, 13153, 528, 496, 72413, 568, 4060, 26084, 236768, 531, 11719, 1091, 528, 506, 1689, 13415, 4866, 236761, 138, 108, 30134, 1027, 30981, 573, 33901, 3548, 653, 10135, 39364, 19205, 236881, 236743, 246289, 106, 107, 105, 2364, 107, 12879, 573, 506, 11221, 236888, 669, 6214, 795, 2765, 9795, 607, 506, 3732, 662, 54850, 237028, 3480, 564, 2473, 1202, 531, 2426, 768, 564, 735, 3487, 31255, 76536, 528, 506, 77155, 236761, 54591, 529, 28968, 236764, 564, 236858, 560, 1010, 99447, 531, 1441, 1070, 808, 236763, 45666, 236829, 4252, 1913, 12441, 840, 740, 236858, 236745, 5630, 506, 5618, 529, 9760, 35598, 236761, 28344, 611, 5840, 496, 2321, 6672, 34499, 129379, 35598, 653, 11421, 600, 6727, 1388, 607, 496, 83862, 13294, 1133, 672, 236881, 33128, 600, 236858, 859, 1386, 506, 222549, 6309, 872, 910, 44661, 532, 12847, 1308, 11293, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 29889, 236779, 3250, 1083, 623, 236799, 45666, 569, 34499, 43008, 827, 623, 31040, 1083, 623, 18939, 1973, 1026, 585, 569, 759, 236743, 236778, 236770, 827, 623, 3704, 1083, 236743, 236770, 236819, 236819, 236810, 236764, 623, 56036, 1083, 623, 236763, 45666, 25938, 107, 14937, 29889, 236779, 3250, 1083, 623, 30492, 236785, 236756, 236771, 236771, 524, 1426, 569, 34873, 3604, 827, 623, 31040, 1083, 623, 236874, 516, 737, 236785, 236756, 236771, 236771, 524, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236828, 236764, 623, 56036, 1083, 623, 236763, 45666, 25938, 107, 14937, 29889, 236779, 3250, 1083, 623, 236799, 45666, 570, 1973, 3320, 236787, 630, 18818, 1356, 529, 34499, 43008, 827, 623, 31040, 1083, 623, 99839, 21152, 26340, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 56036, 1083, 623, 236763, 45666, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1806, 5250, 34499, 129379, 95378, 35598, 600, 236858, 859, 3437, 37017, 2778, 531, 822, 12441, 2633, 532, 974, 1724, 2268, 6172, 6049, 236787, 108, 10354, 236743, 247087, 5213, 83738, 214389, 1018, 138, 107, 236770, 236761, 5213, 236775, 236799, 45666, 569, 34499, 43008, 236775, 568, 236770, 236819, 236819, 236810, 62902, 684, 808, 18939, 1973, 1026, 585, 569, 759, 236743, 236778, 236770, 236829, 138, 107, 139, 236772, 562, 55488, 573, 6672, 95378, 89970, 236761, 82678, 1133, 165996, 236773, 17170, 236898, 147698, 659, 4011, 573, 10299, 6214, 506, 35439, 529, 95378, 22974, 236761, 138, 108, 236778, 236761, 5213, 236775, 30492, 236928, 1426, 569, 34873, 3604, 236775, 568, 236778, 236771, 236771, 236828, 62902, 684, 808, 236874, 516, 737, 236928, 236829, 138, 107, 139, 236772, 2376, 2068, 10445, 236764, 116457, 87244, 607, 2246, 236772, 624, 236772, 6275, 48528, 236761, 669, 4087, 165996, 236799, 45666, 4524, 236858, 236752, 667, 2156, 147698, 563, 496, 15678, 236772, 942, 15738, 573, 1061, 60902, 15295, 236761, 138, 108, 10354, 236743, 243336, 5213, 32899, 47374, 1018, 138, 107, 236800, 236761, 5213, 236775, 236799, 45666, 570, 1973, 3320, 236787, 630, 18818, 1356, 529, 34499, 43008, 236775, 568, 236778, 236771, 236770, 236812, 62902, 684, 808, 99839, 21152, 26340, 236829, 138, 107, 139, 236772, 21807, 1472, 95378, 607, 113349, 568, 51208, 34499, 129379, 18355, 236768, 573, 496, 45489, 6921, 236761, 165996, 236874, 1525, 236859, 895, 1525, 236859, 147698, 815, 496, 108066, 12222, 7436, 573, 1868, 236772, 140391, 12847, 236772, 22313, 236761, 138, 108, 1018, 1489, 42272, 66515, 9274, 506, 35598, 528, 1900, 237028, 2543, 9760, 531, 4532, 237028, 1071, 1769, 822, 2523, 580, 496, 13906, 9338, 1343, 95378, 236858, 236751, 11294, 236761, 58108, 607, 506, 31255, 3732, 662, 54850, 573, 496, 9380, 2980, 1651, 22974, 236888, 138, 108, 30134, 1601, 8159, 3530, 16710, 653, 45375, 529, 506, 31866, 573, 54491, 236881, 236743, 244722, 239794, 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, 496, 52785, 2299, 653, 7102, 1298, 1610, 10411, 3249, 40825, 9639, 11421, 1133, 11800, 103510, 532, 213554, 54934, 844, 1131, 910, 17205, 236761, 28344, 611, 3927, 573, 8904, 10317, 580, 1610, 4993, 4615, 653, 3530, 8325, 5254, 236881, 564, 236789, 236753, 2765, 531, 3371, 607, 3496, 1015, 22064, 1610, 4083, 607, 19074, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2084, 1083, 623, 12027, 827, 623, 547, 1083, 623, 661, 236779, 524, 236779, 18892, 827, 623, 3250, 1083, 623, 9175, 3602, 18238, 827, 623, 7777, 1083, 623, 236776, 15039, 573, 1610, 45435, 11211, 16183, 6614, 37803, 1610, 4083, 1131, 751, 236772, 236770, 236778, 53286, 236761, 23531, 18701, 580, 11800, 103510, 236789, 236751, 8403, 532, 213554, 54934, 844, 236789, 236751, 104164, 528, 5117, 5699, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 1263, 3714, 2084, 1083, 623, 4043, 827, 623, 547, 1083, 623, 95546, 49300, 236779, 495, 236779, 111671, 827, 623, 3250, 1083, 623, 34142, 103510, 528, 28043, 827, 623, 7777, 1083, 623, 42862, 236772, 991, 3399, 22260, 37706, 3027, 103510, 236789, 236751, 4100, 580, 1610, 4993, 236761, 50292, 9144, 2874, 11303, 573, 11211, 19074, 5085, 532, 6511, 121050, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236828, 236819, 236778, 1263, 3714, 2084, 1083, 623, 12027, 827, 623, 547, 1083, 623, 1145, 2533, 236779, 45154, 844, 236779, 192899, 827, 623, 3250, 1083, 623, 4255, 2533, 54934, 844, 95589, 827, 623, 7777, 1083, 623, 166997, 531, 40825, 213554, 54934, 844, 236789, 236751, 1972, 532, 1610, 1131, 939, 49371, 17205, 236761, 25772, 15083, 12714, 699, 14871, 45435, 532, 25755, 7365, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236770, 236810, 236825, 236771, 236832, 1263, 3714, 2084, 1083, 623, 4043, 827, 623, 547, 1083, 623, 4409, 6068, 236779, 28734, 236779, 20746, 827, 623, 3250, 1083, 623, 9175, 16146, 37607, 10981, 827, 623, 7777, 1083, 623, 18085, 3399, 529, 1610, 10411, 24048, 4615, 573, 10299, 1610, 4083, 1343, 4916, 236772, 498, 5699, 236761, 40502, 25843, 580, 1607, 11421, 2440, 54934, 844, 532, 3027, 103510, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236800, 236812, 236771, 236770, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236828, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 5158, 52785, 8904, 16590, 822, 10521, 236787, 108, 236770, 236761, 5213, 18842, 236787, 4585, 3602, 18238, 1018, 138, 107, 139, 236772, 236743, 236770, 236778, 236764, 236832, 236812, 236800, 3295, 138, 107, 139, 236772, 30235, 236787, 83401, 6614, 37803, 1610, 4083, 568, 34142, 103510, 8403, 236764, 213554, 54934, 844, 104164, 236768, 573, 751, 236772, 236770, 236778, 53286, 236761, 138, 108, 236778, 236761, 5213, 3883, 236787, 11800, 103510, 528, 28043, 1018, 138, 107, 139, 236772, 236743, 236828, 236819, 236778, 3295, 138, 107, 139, 236772, 30235, 236787, 37607, 236772, 991, 18701, 580, 11800, 103510, 236789, 236751, 4100, 236764, 13822, 9144, 2874, 11303, 573, 6511, 11211, 236761, 138, 108, 236800, 236761, 5213, 18842, 236787, 213554, 54934, 844, 95589, 1018, 138, 107, 139, 236772, 236743, 236770, 236810, 236764, 236825, 236771, 236832, 3295, 138, 107, 139, 236772, 30235, 236787, 4471, 49371, 17205, 580, 213554, 54934, 844, 236764, 15083, 12714, 699, 14871, 45435, 236764, 532, 25755, 7365, 236761, 138, 108, 236812, 236761, 5213, 3883, 236787, 4585, 16146, 37607, 10981, 1018, 138, 107, 139, 236772, 236743, 236800, 236764, 236812, 236771, 236770, 3295, 138, 107, 139, 236772, 30235, 236787, 11250, 13859, 580, 10299, 1610, 4083, 1343, 5699, 236764, 2440, 16789, 25843, 580, 54934, 844, 532, 11800, 103510, 236761, 138, 108, 1018, 9640, 2536, 1765, 53121, 236743, 236778, 236828, 236832, 8904, 236761, 138, 107, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 56856, 7100, 4402, 573, 919, 32163, 18701, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 11327, 506, 7100, 236764, 919, 24576, 4402, 1171, 236761, 28344, 611, 2847, 786, 607, 1982, 9851, 653, 190812, 573, 5213, 34142, 103510, 528, 28043, 1018, 532, 5213, 9175, 16146, 37607, 10981, 1018, 236881, 6542, 236764, 659, 993, 1027, 8904, 10916, 10317, 580, 66051, 1610, 8403, 568, 5282, 11800, 103510, 236789, 236751, 16078, 2025, 653, 54934, 844, 236789, 236751, 104164, 236768, 607, 9578, 5712, 653, 11089, 17205, 236881, 3551, 3272, 3187, 3371, 19297, 607, 939, 49371, 5699, 236764, 532, 564, 236858, 236753, 1133, 531, 8770, 6549, 580, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2084, 1083, 623, 4043, 827, 623, 3250, 1083, 623, 34142, 103510, 528, 28043, 827, 623, 11668, 1083, 12948, 95546, 49300, 111671, 827, 623, 7777, 1083, 623, 32343, 3287, 11211, 939, 49371, 16183, 6614, 1699, 11800, 103510, 236789, 236751, 1610, 531, 3786, 4083, 236764, 6647, 236764, 532, 9578, 5712, 221476, 3714, 2084, 1083, 623, 12027, 827, 623, 3250, 1083, 623, 9175, 16146, 37607, 10981, 827, 623, 11668, 1083, 12948, 4409, 6068, 82474, 827, 623, 7777, 1083, 623, 18085, 3399, 573, 751, 236772, 236770, 236778, 532, 10467, 1610, 4083, 45435, 236761, 40502, 12714, 1003, 4071, 236772, 223641, 5699, 221476, 3714, 2084, 1083, 623, 4043, 827, 623, 3250, 1083, 623, 199513, 844, 833, 34795, 47374, 827, 623, 11668, 1083, 12948, 45154, 844, 236779, 18114, 827, 623, 7777, 1083, 623, 136983, 2299, 22260, 68610, 617, 104164, 528, 5712, 236761, 50292, 62571, 26614, 213554, 54934, 844, 236789, 236751, 8403, 607, 26448, 221476, 3714, 2084, 1083, 623, 12027, 827, 623, 3250, 1083, 623, 75455, 33963, 14935, 4585, 827, 623, 11668, 1083, 12948, 661, 5986, 37939, 827, 623, 7777, 1083, 623, 155536, 236789, 236751, 7488, 939, 49371, 15653, 4993, 15039, 236761, 25772, 16078, 2025, 236772, 1071, 236772, 141217, 16183, 23693, 221476, 3714, 2084, 1083, 623, 2364, 827, 623, 3250, 1083, 623, 9231, 236761, 71918, 57122, 827, 623, 11668, 1083, 12948, 535, 3320, 236779, 661, 524, 827, 623, 7777, 1083, 623, 9175, 14825, 68916, 528, 4071, 236772, 223641, 153950, 236761, 85214, 2196, 5405, 573, 66051, 4446, 11710, 607, 22323, 5712, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1982, 9851, 532, 4767, 939, 49371, 8904, 236787, 108, 1018, 218189, 144075, 41534, 53121, 107, 236772, 5213, 34142, 103510, 528, 28043, 1018, 138, 107, 138, 242083, 85878, 236787, 182615, 95546, 49300, 111671, 236929, 138, 107, 138, 15354, 236787, 4471, 49371, 17205, 1699, 11800, 103510, 236858, 236751, 1610, 573, 9578, 5712, 532, 6647, 13792, 236761, 108, 236772, 5213, 9175, 16146, 37607, 10981, 1018, 138, 107, 138, 242083, 85878, 236787, 182615, 4409, 6068, 82474, 236929, 138, 107, 138, 15354, 236787, 40502, 4071, 236772, 223641, 2203, 6549, 573, 751, 236772, 236770, 236778, 532, 10467, 45435, 236761, 108, 1018, 3845, 49371, 4585, 236786, 54664, 51041, 53121, 138, 107, 236770, 236761, 5213, 199513, 844, 833, 34795, 47374, 1018, 138, 107, 139, 242083, 182615, 45154, 844, 236779, 18114, 236929, 138, 107, 139, 236772, 21807, 1472, 68610, 617, 104164, 607, 26448, 532, 22323, 5712, 236761, 50292, 62571, 236761, 138, 108, 236778, 236761, 5213, 75455, 33963, 14935, 4585, 1018, 138, 107, 139, 242083, 182615, 661, 5986, 37939, 236929, 138, 107, 139, 236772, 131901, 15039, 573, 623, 25154, 2025, 236772, 1071, 236772, 141217, 236775, 16183, 6614, 568, 236744, 236761, 236759, 1126, 81016, 11800, 103510, 236858, 236751, 47900, 1131, 41575, 5712, 769, 138, 108, 236800, 236761, 5213, 9231, 236761, 71918, 57122, 1018, 568, 91334, 22858, 236768, 138, 107, 139, 242083, 182615, 535, 3320, 236779, 661, 524, 236929, 138, 107, 139, 236772, 85214, 2196, 6436, 573, 66051, 4446, 11710, 8403, 607, 54491, 236786, 191109, 1280, 3904, 236761, 138, 108, 38786, 611, 1133, 786, 531, 8430, 3530, 16183, 2731, 8698, 699, 1239, 4402, 653, 56856, 18024, 607, 506, 7710, 2430, 182615, 535, 3320, 236779, 661, 524, 236929, 236881, 106, 107, 105, 2364, 107, 30092, 611, 8430, 3530, 16183, 2731, 8698, 699, 5213, 34142, 103510, 528, 28043, 1018, 532, 5213, 75455, 33963, 14935, 4585, 1018, 600, 5467, 3205, 16078, 2025, 8403, 531, 5712, 20958, 236881, 1701, 5705, 236787, 753, 2088, 11800, 103510, 236858, 236751, 2114, 39061, 47900, 2473, 17866, 531, 623, 1005, 1762, 29141, 236775, 528, 5117, 47754, 753, 26935, 529, 54934, 844, 236858, 236751, 104164, 22882, 1131, 26448, 62571, 6542, 236764, 1451, 611, 33205, 5213, 9231, 236761, 71918, 57122, 236858, 236751, 6524, 236743, 236800, 5405, 1018, 568, 236744, 236761, 236759, 1126, 2196, 6436, 653, 23693, 236768, 573, 66051, 1610, 532, 54491, 236881, 564, 236858, 236753, 1133, 531, 3540, 1116, 4313, 531, 22323, 3904, 1343, 4446, 11710, 8403, 1680, 17154, 855, 531, 1116, 5467, 236761, 5213, 31810, 531, 1161, 53121, 2165, 13214, 236779, 2305, 236929, 568, 223205, 506, 9155, 4402, 532, 2430, 182615, 535, 3320, 236779, 661, 524, 18833, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 34142, 103510, 236789, 236751, 15827, 39061, 833, 198944, 33963, 236787, 562, 12713, 236772, 4830, 35180, 83401, 9620, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 95546, 49300, 111671, 236786, 66746, 236770, 236771, 236778, 236800, 827, 623, 7777, 1083, 623, 48604, 14728, 11800, 103510, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 2114, 39061, 9939, 1343, 99255, 1610, 11381, 236764, 6641, 684, 5712, 20958, 1298, 3272, 17866, 7595, 12505, 1131, 35094, 20494, 42437, 236761, 49308, 185092, 573, 38318, 41575, 5192, 221476, 3714, 3250, 1083, 623, 23135, 1929, 528, 54934, 844, 833, 56852, 236787, 173796, 1493, 24246, 6548, 670, 8002, 573, 127737, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 661, 25834, 36895, 236786, 66746, 236812, 236810, 236825, 827, 623, 7777, 1083, 623, 20647, 2985, 213554, 54934, 844, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 42988, 41001, 1343, 11710, 3671, 236764, 1299, 26309, 3272, 528, 68632, 26448, 1699, 3577, 104164, 236761, 25772, 54934, 844, 236772, 52728, 26448, 62571, 532, 24240, 52369, 10318, 221476, 3714, 3250, 1083, 623, 9231, 236761, 71918, 57122, 753, 4585, 833, 116716, 107326, 568, 236778, 236771, 236778, 236810, 22730, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 535, 3320, 236779, 661, 524, 236786, 18892, 827, 623, 7777, 1083, 623, 15370, 110718, 23693, 236787, 236743, 236770, 236768, 8040, 18188, 116716, 95947, 236764, 236743, 236778, 236768, 48257, 28896, 236772, 1071, 236772, 232005, 67292, 28707, 236764, 236743, 236800, 236768, 15909, 45004, 42674, 522, 15308, 573, 16976, 39461, 8236, 236761, 87700, 531, 1116, 4803, 32656, 580, 1610, 236772, 24251, 19549, 153950, 221476, 3714, 3250, 1083, 623, 75455, 33963, 14935, 4585, 236787, 92381, 31278, 13079, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 50694, 661, 25834, 236786, 13271, 827, 623, 7777, 1083, 623, 21048, 236772, 205494, 20958, 35007, 16078, 2025, 8403, 568, 13815, 39061, 236764, 120533, 236768, 531, 28885, 7359, 568, 106106, 236764, 784, 63155, 769, 49308, 5117, 24339, 1731, 532, 25000, 607, 10914, 4033, 236761, 87850, 8443, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 3530, 5405, 16590, 822, 2864, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 11800, 103510, 15827, 39061, 16130, 5590, 1762, 33963, 1018, 138, 107, 1018, 98993, 9620, 53121, 165996, 34142, 103510, 236789, 236751, 15827, 39061, 833, 198944, 33963, 147698, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 95546, 49300, 111671, 236786, 66746, 236770, 236771, 236778, 236800, 236768, 138, 107, 1018, 3503, 23195, 53121, 138, 107, 236772, 19291, 53785, 11800, 103510, 236858, 236751, 7497, 16078, 2025, 1699, 35740, 236751, 236764, 1299, 4903, 47754, 22454, 506, 99255, 2707, 236761, 138, 107, 236772, 5213, 54664, 38215, 53121, 55341, 43206, 12505, 568, 236744, 236761, 236759, 1126, 623, 1437, 6554, 11906, 1133, 45027, 7764, 1373, 1131, 143636, 573, 2872, 19979, 653, 7846, 236761, 138, 107, 236772, 49308, 496, 185092, 573, 30923, 41575, 5192, 75486, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 54934, 844, 27277, 1929, 16130, 56852, 10635, 30333, 1018, 138, 107, 1018, 98993, 9620, 53121, 165996, 23135, 1929, 528, 54934, 844, 833, 56852, 147698, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 661, 25834, 36895, 236786, 66746, 236812, 236810, 236825, 236768, 138, 107, 1018, 3503, 23195, 53121, 138, 107, 236772, 121353, 54934, 844, 236858, 236751, 808, 818, 8512, 2102, 8513, 236829, 531, 8701, 42988, 4820, 568, 236744, 236761, 236759, 1126, 17500, 236764, 4806, 236764, 18716, 28467, 769, 138, 107, 236772, 5213, 54664, 38215, 53121, 19291, 2619, 3577, 35091, 1699, 236743, 236778, 236964, 236800, 42988, 7751, 531, 2754, 910, 9834, 568, 236744, 236761, 236759, 1126, 623, 236746, 11207, 21164, 578, 5745, 5281, 4248, 138, 107, 236772, 49308, 24240, 52369, 10318, 573, 68657, 183240, 5192, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 3587, 236761, 71918, 57122, 236858, 236751, 43469, 18238, 1018, 138, 107, 1018, 15370, 107326, 53121, 165996, 9175, 833, 116716, 107326, 568, 236778, 236771, 236778, 236810, 16291, 236829, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 535, 3320, 236779, 661, 524, 236786, 18892, 236768, 138, 107, 1018, 64556, 53121, 138, 107, 236770, 236761, 5213, 3484, 18188, 116716, 95947, 53121, 11251, 3925, 107301, 531, 2258, 140918, 568, 236744, 236761, 236759, 1126, 623, 75951, 66418, 578, 15213, 16625, 4248, 138, 107, 236778, 236761, 5213, 84151, 28896, 236772, 1071, 236772, 232005, 28707, 53121, 10297, 16078, 2025, 4249, 236786, 31700, 531, 2872, 19979, 568, 236744, 236761, 236759, 1126, 623, 236760, 1274, 6139, 47900, 578, 20067, 8485, 4248, 138, 107, 236800, 236761, 5213, 64429, 45004, 42674, 522, 15308, 53121, 6890, 1208, 104309, 16130, 120533, 6555, 531, 3904, 3925, 71286, 568, 236744, 236761, 236759, 1126, 623, 7682, 12627, 578, 148497, 104853, 4248, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 23727, 33963, 14935, 4585, 236787, 92381, 13079, 1018, 138, 107, 1018, 19469, 93141, 53121, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 50694, 661, 25834, 236786, 13271, 236768, 138, 107, 236772, 5213, 23790, 39061, 900, 4508, 755, 53121, 44906, 11800, 103510, 236858, 236751, 41686, 55748, 531, 623, 236746, 12978, 529, 124470, 19979, 236775, 528, 57243, 236761, 138, 107, 236772, 5213, 22297, 48640, 900, 2343, 63155, 53121, 6890, 89820, 6554, 12627, 531, 30463, 784, 2598, 1280, 29141, 568, 236744, 236761, 236759, 1126, 623, 62946, 22030, 37676, 75538, 1924, 15624, 4248, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 119281, 969, 3587, 236761, 71918, 236858, 236751, 48257, 28896, 236772, 1071, 236772, 232005, 28707, 528, 14529, 1816, 236881, 138, 107, 236778, 236761, 40656, 5117, 24339, 1731, 699, 506, 23727, 33963, 14935, 4585, 3294, 236881, 138, 107, 236800, 236761, 59336, 1217, 531, 7535, 1239, 573, 3530, 11398, 4535, 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 ]
[ 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, 496, 52785, 2299, 653, 7102, 1298, 1610, 10411, 3249, 40825, 9639, 11421, 1133, 11800, 103510, 532, 213554, 54934, 844, 1131, 910, 17205, 236761, 28344, 611, 3927, 573, 8904, 10317, 580, 1610, 4993, 4615, 653, 3530, 8325, 5254, 236881, 564, 236789, 236753, 2765, 531, 3371, 607, 3496, 1015, 22064, 1610, 4083, 607, 19074, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2084, 1083, 623, 12027, 827, 623, 547, 1083, 623, 661, 236779, 524, 236779, 18892, 827, 623, 3250, 1083, 623, 9175, 3602, 18238, 827, 623, 7777, 1083, 623, 236776, 15039, 573, 1610, 45435, 11211, 16183, 6614, 37803, 1610, 4083, 1131, 751, 236772, 236770, 236778, 53286, 236761, 23531, 18701, 580, 11800, 103510, 236789, 236751, 8403, 532, 213554, 54934, 844, 236789, 236751, 104164, 528, 5117, 5699, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 1263, 3714, 2084, 1083, 623, 4043, 827, 623, 547, 1083, 623, 95546, 49300, 236779, 495, 236779, 111671, 827, 623, 3250, 1083, 623, 34142, 103510, 528, 28043, 827, 623, 7777, 1083, 623, 42862, 236772, 991, 3399, 22260, 37706, 3027, 103510, 236789, 236751, 4100, 580, 1610, 4993, 236761, 50292, 9144, 2874, 11303, 573, 11211, 19074, 5085, 532, 6511, 121050, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236828, 236819, 236778, 1263, 3714, 2084, 1083, 623, 12027, 827, 623, 547, 1083, 623, 1145, 2533, 236779, 45154, 844, 236779, 192899, 827, 623, 3250, 1083, 623, 4255, 2533, 54934, 844, 95589, 827, 623, 7777, 1083, 623, 166997, 531, 40825, 213554, 54934, 844, 236789, 236751, 1972, 532, 1610, 1131, 939, 49371, 17205, 236761, 25772, 15083, 12714, 699, 14871, 45435, 532, 25755, 7365, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236770, 236810, 236825, 236771, 236832, 1263, 3714, 2084, 1083, 623, 4043, 827, 623, 547, 1083, 623, 4409, 6068, 236779, 28734, 236779, 20746, 827, 623, 3250, 1083, 623, 9175, 16146, 37607, 10981, 827, 623, 7777, 1083, 623, 18085, 3399, 529, 1610, 10411, 24048, 4615, 573, 10299, 1610, 4083, 1343, 4916, 236772, 498, 5699, 236761, 40502, 25843, 580, 1607, 11421, 2440, 54934, 844, 532, 3027, 103510, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236800, 236812, 236771, 236770, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236828, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 5158, 52785, 8904, 16590, 822, 10521, 236787, 108, 236770, 236761, 5213, 18842, 236787, 4585, 3602, 18238, 1018, 138, 107, 139, 236772, 236743, 236770, 236778, 236764, 236832, 236812, 236800, 3295, 138, 107, 139, 236772, 30235, 236787, 83401, 6614, 37803, 1610, 4083, 568, 34142, 103510, 8403, 236764, 213554, 54934, 844, 104164, 236768, 573, 751, 236772, 236770, 236778, 53286, 236761, 138, 108, 236778, 236761, 5213, 3883, 236787, 11800, 103510, 528, 28043, 1018, 138, 107, 139, 236772, 236743, 236828, 236819, 236778, 3295, 138, 107, 139, 236772, 30235, 236787, 37607, 236772, 991, 18701, 580, 11800, 103510, 236789, 236751, 4100, 236764, 13822, 9144, 2874, 11303, 573, 6511, 11211, 236761, 138, 108, 236800, 236761, 5213, 18842, 236787, 213554, 54934, 844, 95589, 1018, 138, 107, 139, 236772, 236743, 236770, 236810, 236764, 236825, 236771, 236832, 3295, 138, 107, 139, 236772, 30235, 236787, 4471, 49371, 17205, 580, 213554, 54934, 844, 236764, 15083, 12714, 699, 14871, 45435, 236764, 532, 25755, 7365, 236761, 138, 108, 236812, 236761, 5213, 3883, 236787, 4585, 16146, 37607, 10981, 1018, 138, 107, 139, 236772, 236743, 236800, 236764, 236812, 236771, 236770, 3295, 138, 107, 139, 236772, 30235, 236787, 11250, 13859, 580, 10299, 1610, 4083, 1343, 5699, 236764, 2440, 16789, 25843, 580, 54934, 844, 532, 11800, 103510, 236761, 138, 108, 1018, 9640, 2536, 1765, 53121, 236743, 236778, 236828, 236832, 8904, 236761, 138, 107, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 56856, 7100, 4402, 573, 919, 32163, 18701, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 11327, 506, 7100, 236764, 919, 24576, 4402, 1171, 236761, 28344, 611, 2847, 786, 607, 1982, 9851, 653, 190812, 573, 5213, 34142, 103510, 528, 28043, 1018, 532, 5213, 9175, 16146, 37607, 10981, 1018, 236881, 6542, 236764, 659, 993, 1027, 8904, 10916, 10317, 580, 66051, 1610, 8403, 568, 5282, 11800, 103510, 236789, 236751, 16078, 2025, 653, 54934, 844, 236789, 236751, 104164, 236768, 607, 9578, 5712, 653, 11089, 17205, 236881, 3551, 3272, 3187, 3371, 19297, 607, 939, 49371, 5699, 236764, 532, 564, 236858, 236753, 1133, 531, 8770, 6549, 580, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 2084, 1083, 623, 4043, 827, 623, 3250, 1083, 623, 34142, 103510, 528, 28043, 827, 623, 11668, 1083, 12948, 95546, 49300, 111671, 827, 623, 7777, 1083, 623, 32343, 3287, 11211, 939, 49371, 16183, 6614, 1699, 11800, 103510, 236789, 236751, 1610, 531, 3786, 4083, 236764, 6647, 236764, 532, 9578, 5712, 221476, 3714, 2084, 1083, 623, 12027, 827, 623, 3250, 1083, 623, 9175, 16146, 37607, 10981, 827, 623, 11668, 1083, 12948, 4409, 6068, 82474, 827, 623, 7777, 1083, 623, 18085, 3399, 573, 751, 236772, 236770, 236778, 532, 10467, 1610, 4083, 45435, 236761, 40502, 12714, 1003, 4071, 236772, 223641, 5699, 221476, 3714, 2084, 1083, 623, 4043, 827, 623, 3250, 1083, 623, 199513, 844, 833, 34795, 47374, 827, 623, 11668, 1083, 12948, 45154, 844, 236779, 18114, 827, 623, 7777, 1083, 623, 136983, 2299, 22260, 68610, 617, 104164, 528, 5712, 236761, 50292, 62571, 26614, 213554, 54934, 844, 236789, 236751, 8403, 607, 26448, 221476, 3714, 2084, 1083, 623, 12027, 827, 623, 3250, 1083, 623, 75455, 33963, 14935, 4585, 827, 623, 11668, 1083, 12948, 661, 5986, 37939, 827, 623, 7777, 1083, 623, 155536, 236789, 236751, 7488, 939, 49371, 15653, 4993, 15039, 236761, 25772, 16078, 2025, 236772, 1071, 236772, 141217, 16183, 23693, 221476, 3714, 2084, 1083, 623, 2364, 827, 623, 3250, 1083, 623, 9231, 236761, 71918, 57122, 827, 623, 11668, 1083, 12948, 535, 3320, 236779, 661, 524, 827, 623, 7777, 1083, 623, 9175, 14825, 68916, 528, 4071, 236772, 223641, 153950, 236761, 85214, 2196, 5405, 573, 66051, 4446, 11710, 607, 22323, 5712, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1982, 9851, 532, 4767, 939, 49371, 8904, 236787, 108, 1018, 218189, 144075, 41534, 53121, 107, 236772, 5213, 34142, 103510, 528, 28043, 1018, 138, 107, 138, 242083, 85878, 236787, 182615, 95546, 49300, 111671, 236929, 138, 107, 138, 15354, 236787, 4471, 49371, 17205, 1699, 11800, 103510, 236858, 236751, 1610, 573, 9578, 5712, 532, 6647, 13792, 236761, 108, 236772, 5213, 9175, 16146, 37607, 10981, 1018, 138, 107, 138, 242083, 85878, 236787, 182615, 4409, 6068, 82474, 236929, 138, 107, 138, 15354, 236787, 40502, 4071, 236772, 223641, 2203, 6549, 573, 751, 236772, 236770, 236778, 532, 10467, 45435, 236761, 108, 1018, 3845, 49371, 4585, 236786, 54664, 51041, 53121, 138, 107, 236770, 236761, 5213, 199513, 844, 833, 34795, 47374, 1018, 138, 107, 139, 242083, 182615, 45154, 844, 236779, 18114, 236929, 138, 107, 139, 236772, 21807, 1472, 68610, 617, 104164, 607, 26448, 532, 22323, 5712, 236761, 50292, 62571, 236761, 138, 108, 236778, 236761, 5213, 75455, 33963, 14935, 4585, 1018, 138, 107, 139, 242083, 182615, 661, 5986, 37939, 236929, 138, 107, 139, 236772, 131901, 15039, 573, 623, 25154, 2025, 236772, 1071, 236772, 141217, 236775, 16183, 6614, 568, 236744, 236761, 236759, 1126, 81016, 11800, 103510, 236858, 236751, 47900, 1131, 41575, 5712, 769, 138, 108, 236800, 236761, 5213, 9231, 236761, 71918, 57122, 1018, 568, 91334, 22858, 236768, 138, 107, 139, 242083, 182615, 535, 3320, 236779, 661, 524, 236929, 138, 107, 139, 236772, 85214, 2196, 6436, 573, 66051, 4446, 11710, 8403, 607, 54491, 236786, 191109, 1280, 3904, 236761, 138, 108, 38786, 611, 1133, 786, 531, 8430, 3530, 16183, 2731, 8698, 699, 1239, 4402, 653, 56856, 18024, 607, 506, 7710, 2430, 182615, 535, 3320, 236779, 661, 524, 236929, 236881, 106, 107, 105, 2364, 107, 30092, 611, 8430, 3530, 16183, 2731, 8698, 699, 5213, 34142, 103510, 528, 28043, 1018, 532, 5213, 75455, 33963, 14935, 4585, 1018, 600, 5467, 3205, 16078, 2025, 8403, 531, 5712, 20958, 236881, 1701, 5705, 236787, 753, 2088, 11800, 103510, 236858, 236751, 2114, 39061, 47900, 2473, 17866, 531, 623, 1005, 1762, 29141, 236775, 528, 5117, 47754, 753, 26935, 529, 54934, 844, 236858, 236751, 104164, 22882, 1131, 26448, 62571, 6542, 236764, 1451, 611, 33205, 5213, 9231, 236761, 71918, 57122, 236858, 236751, 6524, 236743, 236800, 5405, 1018, 568, 236744, 236761, 236759, 1126, 2196, 6436, 653, 23693, 236768, 573, 66051, 1610, 532, 54491, 236881, 564, 236858, 236753, 1133, 531, 3540, 1116, 4313, 531, 22323, 3904, 1343, 4446, 11710, 8403, 1680, 17154, 855, 531, 1116, 5467, 236761, 5213, 31810, 531, 1161, 53121, 2165, 13214, 236779, 2305, 236929, 568, 223205, 506, 9155, 4402, 532, 2430, 182615, 535, 3320, 236779, 661, 524, 18833, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 34142, 103510, 236789, 236751, 15827, 39061, 833, 198944, 33963, 236787, 562, 12713, 236772, 4830, 35180, 83401, 9620, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 95546, 49300, 111671, 236786, 66746, 236770, 236771, 236778, 236800, 827, 623, 7777, 1083, 623, 48604, 14728, 11800, 103510, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 2114, 39061, 9939, 1343, 99255, 1610, 11381, 236764, 6641, 684, 5712, 20958, 1298, 3272, 17866, 7595, 12505, 1131, 35094, 20494, 42437, 236761, 49308, 185092, 573, 38318, 41575, 5192, 221476, 3714, 3250, 1083, 623, 23135, 1929, 528, 54934, 844, 833, 56852, 236787, 173796, 1493, 24246, 6548, 670, 8002, 573, 127737, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 661, 25834, 36895, 236786, 66746, 236812, 236810, 236825, 827, 623, 7777, 1083, 623, 20647, 2985, 213554, 54934, 844, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 42988, 41001, 1343, 11710, 3671, 236764, 1299, 26309, 3272, 528, 68632, 26448, 1699, 3577, 104164, 236761, 25772, 54934, 844, 236772, 52728, 26448, 62571, 532, 24240, 52369, 10318, 221476, 3714, 3250, 1083, 623, 9231, 236761, 71918, 57122, 753, 4585, 833, 116716, 107326, 568, 236778, 236771, 236778, 236810, 22730, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 535, 3320, 236779, 661, 524, 236786, 18892, 827, 623, 7777, 1083, 623, 15370, 110718, 23693, 236787, 236743, 236770, 236768, 8040, 18188, 116716, 95947, 236764, 236743, 236778, 236768, 48257, 28896, 236772, 1071, 236772, 232005, 67292, 28707, 236764, 236743, 236800, 236768, 15909, 45004, 42674, 522, 15308, 573, 16976, 39461, 8236, 236761, 87700, 531, 1116, 4803, 32656, 580, 1610, 236772, 24251, 19549, 153950, 221476, 3714, 3250, 1083, 623, 75455, 33963, 14935, 4585, 236787, 92381, 31278, 13079, 827, 623, 2451, 1083, 623, 2574, 1411, 236745, 236761, 1336, 236786, 50694, 661, 25834, 236786, 13271, 827, 623, 7777, 1083, 623, 21048, 236772, 205494, 20958, 35007, 16078, 2025, 8403, 568, 13815, 39061, 236764, 120533, 236768, 531, 28885, 7359, 568, 106106, 236764, 784, 63155, 769, 49308, 5117, 24339, 1731, 532, 25000, 607, 10914, 4033, 236761, 87850, 8443, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 3530, 5405, 16590, 822, 2864, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 11800, 103510, 15827, 39061, 16130, 5590, 1762, 33963, 1018, 138, 107, 1018, 98993, 9620, 53121, 165996, 34142, 103510, 236789, 236751, 15827, 39061, 833, 198944, 33963, 147698, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 95546, 49300, 111671, 236786, 66746, 236770, 236771, 236778, 236800, 236768, 138, 107, 1018, 3503, 23195, 53121, 138, 107, 236772, 19291, 53785, 11800, 103510, 236858, 236751, 7497, 16078, 2025, 1699, 35740, 236751, 236764, 1299, 4903, 47754, 22454, 506, 99255, 2707, 236761, 138, 107, 236772, 5213, 54664, 38215, 53121, 55341, 43206, 12505, 568, 236744, 236761, 236759, 1126, 623, 1437, 6554, 11906, 1133, 45027, 7764, 1373, 1131, 143636, 573, 2872, 19979, 653, 7846, 236761, 138, 107, 236772, 49308, 496, 185092, 573, 30923, 41575, 5192, 75486, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 54934, 844, 27277, 1929, 16130, 56852, 10635, 30333, 1018, 138, 107, 1018, 98993, 9620, 53121, 165996, 23135, 1929, 528, 54934, 844, 833, 56852, 147698, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 661, 25834, 36895, 236786, 66746, 236812, 236810, 236825, 236768, 138, 107, 1018, 3503, 23195, 53121, 138, 107, 236772, 121353, 54934, 844, 236858, 236751, 808, 818, 8512, 2102, 8513, 236829, 531, 8701, 42988, 4820, 568, 236744, 236761, 236759, 1126, 17500, 236764, 4806, 236764, 18716, 28467, 769, 138, 107, 236772, 5213, 54664, 38215, 53121, 19291, 2619, 3577, 35091, 1699, 236743, 236778, 236964, 236800, 42988, 7751, 531, 2754, 910, 9834, 568, 236744, 236761, 236759, 1126, 623, 236746, 11207, 21164, 578, 5745, 5281, 4248, 138, 107, 236772, 49308, 24240, 52369, 10318, 573, 68657, 183240, 5192, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 3587, 236761, 71918, 57122, 236858, 236751, 43469, 18238, 1018, 138, 107, 1018, 15370, 107326, 53121, 165996, 9175, 833, 116716, 107326, 568, 236778, 236771, 236778, 236810, 16291, 236829, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 535, 3320, 236779, 661, 524, 236786, 18892, 236768, 138, 107, 1018, 64556, 53121, 138, 107, 236770, 236761, 5213, 3484, 18188, 116716, 95947, 53121, 11251, 3925, 107301, 531, 2258, 140918, 568, 236744, 236761, 236759, 1126, 623, 75951, 66418, 578, 15213, 16625, 4248, 138, 107, 236778, 236761, 5213, 84151, 28896, 236772, 1071, 236772, 232005, 28707, 53121, 10297, 16078, 2025, 4249, 236786, 31700, 531, 2872, 19979, 568, 236744, 236761, 236759, 1126, 623, 236760, 1274, 6139, 47900, 578, 20067, 8485, 4248, 138, 107, 236800, 236761, 5213, 64429, 45004, 42674, 522, 15308, 53121, 6890, 1208, 104309, 16130, 120533, 6555, 531, 3904, 3925, 71286, 568, 236744, 236761, 236759, 1126, 623, 7682, 12627, 578, 148497, 104853, 4248, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 23727, 33963, 14935, 4585, 236787, 92381, 13079, 1018, 138, 107, 1018, 19469, 93141, 53121, 138, 107, 245958, 870, 11942, 1590, 5457, 2574, 1411, 236745, 236761, 1336, 236786, 50694, 661, 25834, 236786, 13271, 236768, 138, 107, 236772, 5213, 23790, 39061, 900, 4508, 755, 53121, 44906, 11800, 103510, 236858, 236751, 41686, 55748, 531, 623, 236746, 12978, 529, 124470, 19979, 236775, 528, 57243, 236761, 138, 107, 236772, 5213, 22297, 48640, 900, 2343, 63155, 53121, 6890, 89820, 6554, 12627, 531, 30463, 784, 2598, 1280, 29141, 568, 236744, 236761, 236759, 1126, 623, 62946, 22030, 37676, 75538, 1924, 15624, 4248, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 119281, 969, 3587, 236761, 71918, 236858, 236751, 48257, 28896, 236772, 1071, 236772, 232005, 28707, 528, 14529, 1816, 236881, 138, 107, 236778, 236761, 40656, 5117, 24339, 1731, 699, 506, 23727, 33963, 14935, 4585, 3294, 236881, 138, 107, 236800, 236761, 59336, 1217, 531, 7535, 1239, 573, 3530, 11398, 4535, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 2963, 13007, 607, 1041, 8379, 5603, 33208, 236764, 4285, 1056, 564, 236789, 236757, 116823, 3272, 657, 506, 2263, 9427, 236761, 3551, 9171, 6950, 625, 2473, 577, 614, 4186, 607, 1932, 23961, 580, 1041, 3707, 236761, 28344, 611, 13952, 1041, 2033, 3707, 236789, 236751, 10710, 3421, 531, 1460, 837, 23961, 659, 1932, 532, 1144, 3019, 659, 4710, 580, 1091, 236881, 564, 1751, 506, 1689, 21439, 236789, 236751, 10710, 563, 236743, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 236764, 840, 564, 236789, 236757, 711, 11716, 2889, 236761, 1174, 1093, 2126, 1601, 786, 151350, 506, 5603, 4342, 564, 236789, 560, 1010, 2963, 1651, 2844, 607, 506, 6214, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25699, 236779, 12103, 1083, 3714, 6163, 1083, 623, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 827, 623, 5265, 236779, 3370, 1083, 78493, 728, 1083, 236743, 236778, 236778, 236764, 623, 8114, 1083, 623, 133113, 827, 623, 4406, 1083, 623, 7084, 133113, 236743, 236832, 236761, 236812, 23179, 3714, 728, 1083, 236743, 236828, 236771, 236764, 623, 8114, 1083, 623, 22005, 827, 623, 4406, 1083, 623, 69534, 4999, 236753, 236743, 236778, 236761, 236812, 236761, 236825, 23179, 3714, 728, 1083, 236743, 236812, 236812, 236800, 236764, 623, 8114, 1083, 623, 65941, 827, 623, 4406, 1083, 623, 72368, 236743, 236770, 236761, 236778, 236771, 236761, 236770, 23179, 3714, 728, 1083, 236743, 236810, 236800, 236764, 623, 8114, 1083, 623, 94464, 827, 623, 4406, 1083, 623, 62094, 3674, 236809, 236743, 236778, 236761, 236832, 236825, 25938, 1604, 623, 4818, 1083, 623, 40812, 827, 623, 19001, 236779, 27297, 1083, 236743, 236812, 236778, 236764, 623, 23184, 1083, 623, 104884, 5052, 4652, 236787, 5641, 13386, 87816, 3567, 13207, 236761, 14066, 31652, 59550, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 506, 13952, 2536, 573, 822, 2033, 3707, 21439, 568, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 1473, 108, 1018, 7084, 96408, 833, 8381, 53121, 107, 236770, 236761, 5213, 8999, 236743, 236778, 236778, 568, 133113, 62902, 753, 57843, 38127, 2509, 568, 4406, 236787, 7607, 133113, 236743, 236832, 236761, 236812, 236768, 107, 139, 195096, 808, 19120, 35868, 149681, 1174, 87816, 3567, 563, 59891, 532, 21040, 236761, 14066, 31652, 822, 21439, 236789, 236751, 59550, 236761, 108, 236778, 236761, 5213, 8999, 236743, 236828, 236771, 568, 22005, 62902, 753, 6940, 5941, 568, 69534, 236743, 236778, 236761, 236812, 236761, 236825, 236768, 107, 236800, 236761, 5213, 8999, 236743, 236812, 236812, 236800, 568, 65941, 62902, 753, 57843, 4108, 5941, 568, 72368, 236743, 236770, 236761, 236778, 236771, 236761, 236770, 236768, 107, 236812, 236761, 5213, 8999, 236743, 236810, 236800, 568, 94464, 62902, 753, 49822, 7343, 1804, 2509, 568, 62094, 3674, 236809, 236743, 236778, 236761, 236832, 236825, 236768, 108, 1018, 113793, 224863, 140604, 53121, 107, 236770, 236761, 669, 59891, 87816, 2509, 1451, 16809, 496, 5052, 4652, 840, 2473, 711, 5467, 4208, 8379, 27347, 107, 236778, 236761, 5180, 21439, 563, 28488, 618, 496, 4108, 5941, 568, 3370, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 236768, 532, 46972, 5941, 753, 672, 563, 3867, 6868, 107, 236800, 236761, 14066, 16329, 768, 1027, 24837, 3019, 740, 577, 19477, 1343, 822, 21439, 7846, 107, 236812, 236761, 669, 13952, 7723, 528, 236743, 236812, 236778, 9093, 236764, 22169, 3867, 3707, 89201, 108, 1018, 9272, 50228, 53121, 107, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 42085, 1217, 531, 4610, 822, 21439, 59550, 236881, 107, 236778, 236761, 19536, 10151, 1027, 3530, 2509, 4889, 236881, 107, 236800, 236761, 59336, 21439, 9831, 1791, 10154, 573, 116823, 25521, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 25890, 236761, 669, 5052, 9690, 1003, 506, 59891, 87816, 3567, 45615, 786, 236764, 4285, 2338, 564, 1161, 672, 3707, 573, 116823, 6214, 236761, 28344, 611, 3727, 786, 1343, 2918, 236772, 2003, 236772, 9340, 1217, 531, 4610, 1041, 21439, 236789, 236751, 59550, 531, 7562, 600, 47688, 236881, 564, 1461, 531, 1386, 2889, 564, 1537, 236789, 236745, 43443, 27282, 1041, 8379, 5603, 1651, 3490, 672, 236761, 6542, 236764, 1451, 611, 2426, 768, 1027, 529, 506, 1032, 3019, 568, 5282, 506, 4108, 5941, 580, 2411, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 236768, 2473, 577, 24837, 573, 1041, 2033, 1161, 532, 1374, 577, 19477, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 9584, 822, 3707, 684, 44162, 611, 1343, 59550, 12496, 532, 2509, 18088, 236761, 3792, 236789, 236751, 2541, 672, 1679, 56645, 236787, 108, 1018, 236770, 236761, 5315, 236764, 1531, 236789, 236751, 8701, 822, 21439, 2028, 53121, 107, 139, 236772, 7179, 506, 5663, 21439, 573, 496, 5346, 607, 2028, 1938, 107, 139, 236772, 15325, 42788, 822, 21439, 236789, 236751, 11551, 8309, 4323, 11180, 236787, 107, 141, 236772, 3764, 531, 4999, 1411, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 107, 141, 236772, 10152, 822, 11551, 28150, 568, 6665, 2473, 577, 11551, 236786, 8473, 653, 13762, 580, 506, 21439, 236768, 108, 1018, 236778, 236761, 195315, 12579, 12364, 53121, 107, 139, 236772, 9920, 611, 8701, 506, 2028, 236764, 3517, 506, 14202, 236789, 236751, 4456, 236787, 107, 141, 236772, 870, 6759, 16648, 5457, 2574, 1411, 2769, 236761, 2883, 16648, 236761, 854, 31004, 107, 141, 236772, 870, 8233, 59676, 5457, 2574, 1411, 2769, 236761, 2108, 59676, 236761, 854, 31004, 107, 141, 236772, 870, 7216, 236772, 6759, 5457, 2574, 1411, 2769, 236761, 32172, 236772, 2883, 236761, 854, 31004, 107, 141, 236772, 870, 2371, 3118, 5457, 2574, 1411, 2769, 236761, 91218, 236761, 854, 31004, 107, 139, 236772, 12808, 573, 822, 2028, 532, 6463, 506, 6524, 59550, 107, 139, 236772, 799, 506, 11551, 8309, 236764, 21332, 531, 623, 137338, 2904, 12579, 236775, 3336, 107, 139, 236772, 49101, 506, 861, 59550, 532, 4491, 573, 506, 4610, 531, 4133, 107, 139, 236772, 236743, 195096, 808, 8993, 236789, 236745, 31123, 506, 4610, 1657, 653, 109991, 506, 21439, 236829, 108, 1018, 236800, 236761, 6007, 13768, 53121, 107, 139, 236772, 5213, 6721, 15335, 568, 236828, 236771, 236786, 236812, 236812, 236800, 1473, 1018, 1174, 563, 4547, 822, 21439, 236789, 236751, 11551, 7937, 236761, 10522, 25913, 768, 236787, 107, 141, 236772, 1599, 1537, 236789, 236745, 1202, 4108, 236772, 5140, 9831, 2802, 107, 141, 236772, 1599, 735, 9302, 3997, 4615, 568, 236744, 236761, 236759, 1126, 87816, 768, 2487, 236768, 107, 139, 236772, 5213, 94464, 568, 236810, 236800, 1473, 1018, 43669, 573, 3707, 18544, 753, 2514, 672, 15446, 107, 139, 236772, 5213, 133113, 568, 236778, 236778, 1473, 1018, 30164, 531, 25913, 768, 611, 1537, 236789, 236745, 1161, 10883, 4991, 236772, 1257, 2802, 108, 1018, 236812, 236761, 6531, 236772, 8985, 91330, 53121, 107, 139, 236772, 4210, 31652, 59550, 236787, 107, 141, 236770, 236761, 3764, 531, 623, 40342, 8813, 236775, 7846, 107, 141, 236778, 236761, 73159, 87816, 768, 711, 4354, 107, 141, 236800, 236761, 14376, 3678, 11551, 28150, 107, 141, 236812, 236761, 44574, 103099, 573, 11551, 2802, 768, 2487, 108, 1018, 38786, 611, 1133, 786, 531, 53121, 107, 236770, 236761, 19536, 8701, 822, 21439, 2028, 1343, 4767, 30035, 236881, 107, 236778, 236761, 39525, 3530, 11808, 573, 496, 3364, 21439, 5500, 236881, 107, 236800, 236761, 42085, 1027, 529, 1239, 6555, 528, 919, 8052, 236881, 108, 11069, 53591, 4313, 531, 5052, 563, 7516, 753, 31652, 506, 59550, 795, 3421, 506, 87816, 47688, 236764, 532, 692, 740, 1601, 24700, 1027, 2509, 86557, 1913, 672, 1657, 236761, 106, 107, 105, 2364, 107, 236777, 14756, 506, 3582, 14984, 753, 672, 7351, 786, 2597, 919, 12081, 1003, 3043, 1239, 3731, 236761, 3792, 236789, 236751, 1502, 684, 21558, 1041, 21439, 2028, 1171, 2338, 564, 236789, 236757, 711, 7121, 2889, 1144, 5500, 625, 563, 568, 236777, 42836, 625, 699, 1041, 2369, 1056, 668, 40269, 769, 28344, 611, 1601, 786, 8701, 506, 2028, 1343, 4767, 30035, 653, 684, 16329, 3530, 2509, 4889, 236881, 6542, 236764, 8859, 506, 4108, 5941, 580, 23961, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 753, 2338, 564, 13336, 1161, 672, 3707, 573, 116823, 532, 2870, 38101, 236764, 1093, 119232, 672, 2509, 4208, 1041, 5596, 531, 2802, 506, 8379, 653, 1164, 5001, 786, 699, 3043, 9831, 3731, 1343, 506, 4108, 7937, 236881, 564, 1461, 531, 1386, 2889, 564, 3050, 506, 21255, 1680, 55353, 4658, 236761, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 3421, 1800, 529, 822, 4137, 21410, 236787, 108, 1018, 236770, 236761, 25115, 9483, 53836, 53121, 107, 8409, 1023, 2411, 13952, 2810, 236789, 236745, 5467, 8701, 506, 21439, 2028, 236764, 692, 740, 1386, 614, 32905, 8844, 2721, 580, 2509, 29262, 236787, 107, 236772, 669, 28092, 236743, 236778, 236761, 236812, 236761, 236825, 580, 2411, 236743, 236828, 236771, 532, 106973, 236743, 236770, 236761, 236778, 236771, 236761, 236770, 580, 2411, 236743, 236812, 236812, 236800, 3600, 496, 11713, 236772, 9619, 21439, 607, 496, 4108, 7937, 107, 236772, 13752, 13965, 607, 1239, 29262, 3204, 10297, 16648, 568, 74864, 9862, 4681, 236768, 532, 1070, 113754, 85852, 108, 3048, 740, 8701, 822, 2028, 684, 236787, 107, 236770, 236761, 81573, 506, 21439, 236789, 236751, 5663, 5346, 568, 3374, 13451, 236768, 107, 236778, 236761, 83412, 3678, 11551, 28150, 236787, 107, 139, 236772, 85878, 236787, 11551, 107, 139, 236772, 35716, 236787, 11551, 568, 11147, 573, 1551, 13965, 236768, 107, 236800, 236761, 28356, 657, 506, 4108, 7937, 236789, 236751, 14209, 3104, 753, 625, 795, 11082, 3034, 506, 5500, 236786, 4368, 108, 1018, 236778, 236761, 6940, 15335, 568, 133233, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 236768, 103057, 53121, 107, 4830, 20530, 672, 2509, 1093, 236787, 107, 236772, 113452, 808, 4348, 236829, 4208, 4841, 8379, 2802, 568, 141531, 522, 236764, 2948, 9139, 236764, 4044, 2907, 107, 236772, 236743, 242523, 59804, 4108, 236772, 5140, 9831, 3731, 531, 506, 21439, 107, 236772, 236743, 242523, 16110, 2802, 531, 506, 11551, 7937, 573, 3402, 30981, 108, 26479, 822, 1161, 1624, 568, 180344, 5227, 532, 2870, 38101, 779, 564, 5840, 10264, 672, 2509, 5158, 840, 37319, 625, 236787, 107, 236770, 236761, 12579, 59550, 1171, 568, 7650, 795, 992, 4610, 506, 4108, 7937, 236768, 107, 236778, 236761, 14376, 3678, 11551, 28150, 107, 236800, 236761, 44574, 103099, 568, 728, 236743, 236812, 236812, 236800, 236768, 573, 9584, 3997, 107, 236812, 236761, 14066, 119232, 24644, 568, 728, 236743, 236828, 236771, 236768, 1308, 4610, 108, 1018, 75652, 10659, 59736, 53121, 107, 236770, 236761, 13863, 506, 11551, 7937, 1699, 4999, 1411, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 107, 236778, 236761, 7179, 506, 21439, 236789, 236751, 4108, 7937, 573, 2028, 1938, 107, 236800, 236761, 12579, 59550, 2269, 14202, 11808, 107, 236812, 236761, 4210, 4610, 236764, 25913, 87816, 768, 711, 4354, 107, 236810, 236761, 14066, 119232, 24644, 568, 728, 236743, 236828, 236771, 236768, 768, 611, 236789, 859, 1186, 1161, 103099, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 3530, 11808, 573, 496, 3364, 21439, 5500, 568, 236744, 236761, 236759, 1126, 10297, 16648, 236786, 2371, 3118, 20625, 107, 236778, 236761, 19536, 611, 10151, 506, 11551, 7937, 3622, 611, 2802, 625, 236881, 107, 236800, 236761, 42085, 59550, 4610, 13682, 532, 47989, 528, 919, 8052, 236881, 108, 11069, 1873, 4313, 563, 5057, 753, 21558, 506, 2028, 1171, 795, 5330, 692, 5510, 506, 4338, 4610, 8897, 532, 5571, 2509, 86557, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 2963, 13007, 607, 1041, 8379, 5603, 33208, 236764, 4285, 1056, 564, 236789, 236757, 116823, 3272, 657, 506, 2263, 9427, 236761, 3551, 9171, 6950, 625, 2473, 577, 614, 4186, 607, 1932, 23961, 580, 1041, 3707, 236761, 28344, 611, 13952, 1041, 2033, 3707, 236789, 236751, 10710, 3421, 531, 1460, 837, 23961, 659, 1932, 532, 1144, 3019, 659, 4710, 580, 1091, 236881, 564, 1751, 506, 1689, 21439, 236789, 236751, 10710, 563, 236743, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 236764, 840, 564, 236789, 236757, 711, 11716, 2889, 236761, 1174, 1093, 2126, 1601, 786, 151350, 506, 5603, 4342, 564, 236789, 560, 1010, 2963, 1651, 2844, 607, 506, 6214, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25699, 236779, 12103, 1083, 3714, 6163, 1083, 623, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 827, 623, 5265, 236779, 3370, 1083, 78493, 728, 1083, 236743, 236778, 236778, 236764, 623, 8114, 1083, 623, 133113, 827, 623, 4406, 1083, 623, 7084, 133113, 236743, 236832, 236761, 236812, 23179, 3714, 728, 1083, 236743, 236828, 236771, 236764, 623, 8114, 1083, 623, 22005, 827, 623, 4406, 1083, 623, 69534, 4999, 236753, 236743, 236778, 236761, 236812, 236761, 236825, 23179, 3714, 728, 1083, 236743, 236812, 236812, 236800, 236764, 623, 8114, 1083, 623, 65941, 827, 623, 4406, 1083, 623, 72368, 236743, 236770, 236761, 236778, 236771, 236761, 236770, 23179, 3714, 728, 1083, 236743, 236810, 236800, 236764, 623, 8114, 1083, 623, 94464, 827, 623, 4406, 1083, 623, 62094, 3674, 236809, 236743, 236778, 236761, 236832, 236825, 25938, 1604, 623, 4818, 1083, 623, 40812, 827, 623, 19001, 236779, 27297, 1083, 236743, 236812, 236778, 236764, 623, 23184, 1083, 623, 104884, 5052, 4652, 236787, 5641, 13386, 87816, 3567, 13207, 236761, 14066, 31652, 59550, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 506, 13952, 2536, 573, 822, 2033, 3707, 21439, 568, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 1473, 108, 1018, 7084, 96408, 833, 8381, 53121, 107, 236770, 236761, 5213, 8999, 236743, 236778, 236778, 568, 133113, 62902, 753, 57843, 38127, 2509, 568, 4406, 236787, 7607, 133113, 236743, 236832, 236761, 236812, 236768, 107, 139, 195096, 808, 19120, 35868, 149681, 1174, 87816, 3567, 563, 59891, 532, 21040, 236761, 14066, 31652, 822, 21439, 236789, 236751, 59550, 236761, 108, 236778, 236761, 5213, 8999, 236743, 236828, 236771, 568, 22005, 62902, 753, 6940, 5941, 568, 69534, 236743, 236778, 236761, 236812, 236761, 236825, 236768, 107, 236800, 236761, 5213, 8999, 236743, 236812, 236812, 236800, 568, 65941, 62902, 753, 57843, 4108, 5941, 568, 72368, 236743, 236770, 236761, 236778, 236771, 236761, 236770, 236768, 107, 236812, 236761, 5213, 8999, 236743, 236810, 236800, 568, 94464, 62902, 753, 49822, 7343, 1804, 2509, 568, 62094, 3674, 236809, 236743, 236778, 236761, 236832, 236825, 236768, 108, 1018, 113793, 224863, 140604, 53121, 107, 236770, 236761, 669, 59891, 87816, 2509, 1451, 16809, 496, 5052, 4652, 840, 2473, 711, 5467, 4208, 8379, 27347, 107, 236778, 236761, 5180, 21439, 563, 28488, 618, 496, 4108, 5941, 568, 3370, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 236768, 532, 46972, 5941, 753, 672, 563, 3867, 6868, 107, 236800, 236761, 14066, 16329, 768, 1027, 24837, 3019, 740, 577, 19477, 1343, 822, 21439, 7846, 107, 236812, 236761, 669, 13952, 7723, 528, 236743, 236812, 236778, 9093, 236764, 22169, 3867, 3707, 89201, 108, 1018, 9272, 50228, 53121, 107, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 42085, 1217, 531, 4610, 822, 21439, 59550, 236881, 107, 236778, 236761, 19536, 10151, 1027, 3530, 2509, 4889, 236881, 107, 236800, 236761, 59336, 21439, 9831, 1791, 10154, 573, 116823, 25521, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 25890, 236761, 669, 5052, 9690, 1003, 506, 59891, 87816, 3567, 45615, 786, 236764, 4285, 2338, 564, 1161, 672, 3707, 573, 116823, 6214, 236761, 28344, 611, 3727, 786, 1343, 2918, 236772, 2003, 236772, 9340, 1217, 531, 4610, 1041, 21439, 236789, 236751, 59550, 531, 7562, 600, 47688, 236881, 564, 1461, 531, 1386, 2889, 564, 1537, 236789, 236745, 43443, 27282, 1041, 8379, 5603, 1651, 3490, 672, 236761, 6542, 236764, 1451, 611, 2426, 768, 1027, 529, 506, 1032, 3019, 568, 5282, 506, 4108, 5941, 580, 2411, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 236768, 2473, 577, 24837, 573, 1041, 2033, 1161, 532, 1374, 577, 19477, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 9584, 822, 3707, 684, 44162, 611, 1343, 59550, 12496, 532, 2509, 18088, 236761, 3792, 236789, 236751, 2541, 672, 1679, 56645, 236787, 108, 1018, 236770, 236761, 5315, 236764, 1531, 236789, 236751, 8701, 822, 21439, 2028, 53121, 107, 139, 236772, 7179, 506, 5663, 21439, 573, 496, 5346, 607, 2028, 1938, 107, 139, 236772, 15325, 42788, 822, 21439, 236789, 236751, 11551, 8309, 4323, 11180, 236787, 107, 141, 236772, 3764, 531, 4999, 1411, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 107, 141, 236772, 10152, 822, 11551, 28150, 568, 6665, 2473, 577, 11551, 236786, 8473, 653, 13762, 580, 506, 21439, 236768, 108, 1018, 236778, 236761, 195315, 12579, 12364, 53121, 107, 139, 236772, 9920, 611, 8701, 506, 2028, 236764, 3517, 506, 14202, 236789, 236751, 4456, 236787, 107, 141, 236772, 870, 6759, 16648, 5457, 2574, 1411, 2769, 236761, 2883, 16648, 236761, 854, 31004, 107, 141, 236772, 870, 8233, 59676, 5457, 2574, 1411, 2769, 236761, 2108, 59676, 236761, 854, 31004, 107, 141, 236772, 870, 7216, 236772, 6759, 5457, 2574, 1411, 2769, 236761, 32172, 236772, 2883, 236761, 854, 31004, 107, 141, 236772, 870, 2371, 3118, 5457, 2574, 1411, 2769, 236761, 91218, 236761, 854, 31004, 107, 139, 236772, 12808, 573, 822, 2028, 532, 6463, 506, 6524, 59550, 107, 139, 236772, 799, 506, 11551, 8309, 236764, 21332, 531, 623, 137338, 2904, 12579, 236775, 3336, 107, 139, 236772, 49101, 506, 861, 59550, 532, 4491, 573, 506, 4610, 531, 4133, 107, 139, 236772, 236743, 195096, 808, 8993, 236789, 236745, 31123, 506, 4610, 1657, 653, 109991, 506, 21439, 236829, 108, 1018, 236800, 236761, 6007, 13768, 53121, 107, 139, 236772, 5213, 6721, 15335, 568, 236828, 236771, 236786, 236812, 236812, 236800, 1473, 1018, 1174, 563, 4547, 822, 21439, 236789, 236751, 11551, 7937, 236761, 10522, 25913, 768, 236787, 107, 141, 236772, 1599, 1537, 236789, 236745, 1202, 4108, 236772, 5140, 9831, 2802, 107, 141, 236772, 1599, 735, 9302, 3997, 4615, 568, 236744, 236761, 236759, 1126, 87816, 768, 2487, 236768, 107, 139, 236772, 5213, 94464, 568, 236810, 236800, 1473, 1018, 43669, 573, 3707, 18544, 753, 2514, 672, 15446, 107, 139, 236772, 5213, 133113, 568, 236778, 236778, 1473, 1018, 30164, 531, 25913, 768, 611, 1537, 236789, 236745, 1161, 10883, 4991, 236772, 1257, 2802, 108, 1018, 236812, 236761, 6531, 236772, 8985, 91330, 53121, 107, 139, 236772, 4210, 31652, 59550, 236787, 107, 141, 236770, 236761, 3764, 531, 623, 40342, 8813, 236775, 7846, 107, 141, 236778, 236761, 73159, 87816, 768, 711, 4354, 107, 141, 236800, 236761, 14376, 3678, 11551, 28150, 107, 141, 236812, 236761, 44574, 103099, 573, 11551, 2802, 768, 2487, 108, 1018, 38786, 611, 1133, 786, 531, 53121, 107, 236770, 236761, 19536, 8701, 822, 21439, 2028, 1343, 4767, 30035, 236881, 107, 236778, 236761, 39525, 3530, 11808, 573, 496, 3364, 21439, 5500, 236881, 107, 236800, 236761, 42085, 1027, 529, 1239, 6555, 528, 919, 8052, 236881, 108, 11069, 53591, 4313, 531, 5052, 563, 7516, 753, 31652, 506, 59550, 795, 3421, 506, 87816, 47688, 236764, 532, 692, 740, 1601, 24700, 1027, 2509, 86557, 1913, 672, 1657, 236761, 106, 107, 105, 2364, 107, 236777, 14756, 506, 3582, 14984, 753, 672, 7351, 786, 2597, 919, 12081, 1003, 3043, 1239, 3731, 236761, 3792, 236789, 236751, 1502, 684, 21558, 1041, 21439, 2028, 1171, 2338, 564, 236789, 236757, 711, 7121, 2889, 1144, 5500, 625, 563, 568, 236777, 42836, 625, 699, 1041, 2369, 1056, 668, 40269, 769, 28344, 611, 1601, 786, 8701, 506, 2028, 1343, 4767, 30035, 653, 684, 16329, 3530, 2509, 4889, 236881, 6542, 236764, 8859, 506, 4108, 5941, 580, 23961, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 753, 2338, 564, 13336, 1161, 672, 3707, 573, 116823, 532, 2870, 38101, 236764, 1093, 119232, 672, 2509, 4208, 1041, 5596, 531, 2802, 506, 8379, 653, 1164, 5001, 786, 699, 3043, 9831, 3731, 1343, 506, 4108, 7937, 236881, 564, 1461, 531, 1386, 2889, 564, 3050, 506, 21255, 1680, 55353, 4658, 236761, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 3421, 1800, 529, 822, 4137, 21410, 236787, 108, 1018, 236770, 236761, 25115, 9483, 53836, 53121, 107, 8409, 1023, 2411, 13952, 2810, 236789, 236745, 5467, 8701, 506, 21439, 2028, 236764, 692, 740, 1386, 614, 32905, 8844, 2721, 580, 2509, 29262, 236787, 107, 236772, 669, 28092, 236743, 236778, 236761, 236812, 236761, 236825, 580, 2411, 236743, 236828, 236771, 532, 106973, 236743, 236770, 236761, 236778, 236771, 236761, 236770, 580, 2411, 236743, 236812, 236812, 236800, 3600, 496, 11713, 236772, 9619, 21439, 607, 496, 4108, 7937, 107, 236772, 13752, 13965, 607, 1239, 29262, 3204, 10297, 16648, 568, 74864, 9862, 4681, 236768, 532, 1070, 113754, 85852, 108, 3048, 740, 8701, 822, 2028, 684, 236787, 107, 236770, 236761, 81573, 506, 21439, 236789, 236751, 5663, 5346, 568, 3374, 13451, 236768, 107, 236778, 236761, 83412, 3678, 11551, 28150, 236787, 107, 139, 236772, 85878, 236787, 11551, 107, 139, 236772, 35716, 236787, 11551, 568, 11147, 573, 1551, 13965, 236768, 107, 236800, 236761, 28356, 657, 506, 4108, 7937, 236789, 236751, 14209, 3104, 753, 625, 795, 11082, 3034, 506, 5500, 236786, 4368, 108, 1018, 236778, 236761, 6940, 15335, 568, 133233, 236743, 236828, 236771, 236786, 236812, 236812, 236800, 236768, 103057, 53121, 107, 4830, 20530, 672, 2509, 1093, 236787, 107, 236772, 113452, 808, 4348, 236829, 4208, 4841, 8379, 2802, 568, 141531, 522, 236764, 2948, 9139, 236764, 4044, 2907, 107, 236772, 236743, 242523, 59804, 4108, 236772, 5140, 9831, 3731, 531, 506, 21439, 107, 236772, 236743, 242523, 16110, 2802, 531, 506, 11551, 7937, 573, 3402, 30981, 108, 26479, 822, 1161, 1624, 568, 180344, 5227, 532, 2870, 38101, 779, 564, 5840, 10264, 672, 2509, 5158, 840, 37319, 625, 236787, 107, 236770, 236761, 12579, 59550, 1171, 568, 7650, 795, 992, 4610, 506, 4108, 7937, 236768, 107, 236778, 236761, 14376, 3678, 11551, 28150, 107, 236800, 236761, 44574, 103099, 568, 728, 236743, 236812, 236812, 236800, 236768, 573, 9584, 3997, 107, 236812, 236761, 14066, 119232, 24644, 568, 728, 236743, 236828, 236771, 236768, 1308, 4610, 108, 1018, 75652, 10659, 59736, 53121, 107, 236770, 236761, 13863, 506, 11551, 7937, 1699, 4999, 1411, 236770, 236819, 236778, 236761, 236770, 236825, 236828, 236761, 236770, 236761, 236770, 107, 236778, 236761, 7179, 506, 21439, 236789, 236751, 4108, 7937, 573, 2028, 1938, 107, 236800, 236761, 12579, 59550, 2269, 14202, 11808, 107, 236812, 236761, 4210, 4610, 236764, 25913, 87816, 768, 711, 4354, 107, 236810, 236761, 14066, 119232, 24644, 568, 728, 236743, 236828, 236771, 236768, 768, 611, 236789, 859, 1186, 1161, 103099, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 3530, 11808, 573, 496, 3364, 21439, 5500, 568, 236744, 236761, 236759, 1126, 10297, 16648, 236786, 2371, 3118, 20625, 107, 236778, 236761, 19536, 611, 10151, 506, 11551, 7937, 3622, 611, 2802, 625, 236881, 107, 236800, 236761, 42085, 59550, 4610, 13682, 532, 47989, 528, 919, 8052, 236881, 108, 11069, 1873, 4313, 563, 5057, 753, 21558, 506, 2028, 1171, 795, 5330, 692, 5510, 506, 4338, 4610, 8897, 532, 5571, 2509, 86557, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1586, 118252, 580, 10365, 600, 659, 5143, 607, 506, 30136, 756, 45789, 103709, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 10365, 236789, 236751, 68324, 7948, 653, 3927, 15858, 1343, 506, 6436, 3847, 236761, 669, 2487, 5151, 1186, 2174, 786, 531, 33205, 10365, 8781, 4889, 568, 828, 236779, 34710, 236779, 13308, 236779, 19615, 236768, 532, 12270, 10522, 79179, 2430, 1262, 568, 2234, 779, 840, 7293, 529, 1091, 740, 3927, 573, 653, 18840, 118252, 236761, 1599, 2473, 1461, 531, 1161, 10365, 236789, 236751, 3927, 4926, 5467, 653, 4168, 236772, 7362, 68324, 3671, 6436, 573, 672, 5708, 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, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1586, 118252, 580, 10365, 600, 659, 5143, 607, 506, 30136, 756, 45789, 103709, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 10365, 236789, 236751, 68324, 7948, 653, 3927, 15858, 1343, 506, 6436, 3847, 236761, 669, 2487, 5151, 1186, 2174, 786, 531, 33205, 10365, 8781, 4889, 568, 828, 236779, 34710, 236779, 13308, 236779, 19615, 236768, 532, 12270, 10522, 79179, 2430, 1262, 568, 2234, 779, 840, 7293, 529, 1091, 740, 3927, 573, 653, 18840, 118252, 236761, 1599, 2473, 1461, 531, 1161, 10365, 236789, 236751, 3927, 4926, 5467, 653, 4168, 236772, 7362, 68324, 3671, 6436, 573, 672, 5708, 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, 17531, 236764, 564, 236789, 560, 1010, 99447, 531, 2731, 2264, 41512, 7946, 531, 7959, 1308, 1041, 1774, 236772, 20353, 34483, 4828, 3012, 236761, 564, 6827, 1822, 2432, 1003, 27418, 236789, 236751, 143700, 1389, 63338, 23092, 27257, 236764, 840, 564, 236789, 236753, 2765, 531, 1460, 784, 506, 1903, 16746, 3418, 506, 30817, 236761, 3199, 611, 1161, 506, 20623, 236779, 712, 41560, 5904, 573, 27418, 532, 1407, 786, 506, 12669, 532, 11024, 236881, 564, 1461, 531, 1460, 1144, 11497, 53039, 564, 740, 1586, 573, 614, 58931, 2707, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 1201, 1083, 623, 181186, 833, 15007, 827, 623, 21853, 1083, 78493, 1201, 1083, 623, 18755, 527, 1389, 63338, 4025, 21616, 827, 623, 7777, 1083, 623, 14447, 236772, 134180, 573, 506, 8098, 52210, 529, 117028, 191731, 532, 8191, 17443, 236764, 9722, 20987, 2563, 5866, 129762, 10498, 623, 54012, 1083, 623, 17043, 990, 531, 3517, 236787, 5505, 236772, 36817, 23179, 3714, 1201, 1083, 623, 6700, 46757, 5812, 4025, 4556, 827, 623, 7777, 1083, 623, 11405, 525, 8208, 529, 9348, 221121, 11983, 8404, 607, 2455, 38487, 82130, 532, 89822, 42433, 10498, 623, 54012, 1083, 623, 125129, 102071, 657, 36597, 236775, 200808, 3714, 1201, 1083, 623, 3912, 5179, 833, 14073, 827, 623, 21853, 1083, 78493, 1201, 1083, 623, 236796, 31564, 11877, 827, 623, 7777, 1083, 623, 236791, 2323, 688, 2173, 236772, 38150, 7642, 607, 54596, 14513, 236764, 7436, 573, 119949, 532, 1813, 8568, 10498, 623, 54012, 1083, 623, 21998, 3571, 506, 1903, 236743, 236770, 236771, 28439, 528, 506, 1902, 23179, 3714, 1201, 1083, 623, 44244, 42348, 20449, 4025, 4556, 827, 623, 7777, 1083, 623, 49388, 35809, 78498, 532, 12801, 18538, 1972, 236764, 4011, 573, 32316, 532, 28597, 236772, 236745, 2278, 10498, 623, 54012, 1083, 623, 9435, 531, 56914, 5442, 71661, 236775, 200808, 3714, 1201, 1083, 623, 111534, 28917, 827, 623, 21853, 1083, 78493, 1201, 1083, 623, 236798, 42348, 10687, 12258, 827, 623, 7777, 1083, 623, 163537, 4109, 28917, 20103, 607, 4649, 214687, 13217, 236764, 121131, 236772, 6796, 15729, 236764, 532, 8326, 25260, 4083, 10498, 623, 54012, 1083, 623, 68051, 22495, 236756, 32462, 15467, 23179, 3714, 1201, 1083, 623, 236814, 40568, 4556, 568, 236799, 1525, 7149, 15007, 23855, 22730, 623, 7777, 1083, 623, 1479, 20415, 774, 56701, 81035, 58442, 13726, 42433, 532, 2263, 51699, 236786, 5742, 5216, 10498, 623, 54012, 1083, 623, 102711, 28597, 236772, 52531, 6607, 236775, 15947, 104960, 623, 14801, 1083, 623, 166759, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 67722, 8214, 531, 27418, 236789, 236751, 1903, 20623, 16746, 3418, 1806, 12669, 236764, 2440, 1800, 22799, 34091, 532, 11497, 53039, 236787, 108, 1018, 236770, 236761, 39412, 833, 15007, 1018, 107, 236772, 236743, 245318, 5213, 18755, 527, 1389, 63338, 4025, 21616, 1018, 138, 107, 138, 236829, 56767, 149681, 55694, 506, 8098, 52210, 568, 30211, 236772, 36817, 236768, 607, 13889, 529, 117028, 191731, 22353, 78496, 236772, 184301, 25971, 236761, 138, 107, 138, 236829, 1489, 6508, 149681, 7167, 496, 3425, 236772, 1404, 21812, 76194, 657, 36597, 573, 58931, 19658, 8208, 236761, 108, 236772, 236743, 247506, 5213, 6700, 46757, 5812, 4025, 4556, 1018, 138, 107, 138, 236829, 56767, 149681, 118927, 67107, 2342, 506, 25079, 529, 9348, 221121, 11983, 8404, 657, 13935, 6468, 236761, 138, 107, 138, 236829, 35093, 4926, 149681, 46071, 82113, 42433, 1298, 50205, 585, 3549, 572, 1051, 236772, 979, 236761, 108, 1018, 236778, 236761, 135890, 833, 14073, 1018, 107, 236772, 236743, 248046, 238178, 5213, 236796, 31564, 11877, 1018, 138, 107, 138, 236829, 56767, 149681, 137136, 3571, 506, 1902, 236789, 236751, 1903, 236743, 236770, 236771, 28439, 573, 1061, 236743, 236770, 236771, 11375, 10161, 529, 150839, 2173, 6784, 236761, 138, 107, 138, 236829, 13149, 6789, 149681, 26922, 14942, 2111, 157043, 29329, 13988, 573, 8401, 2764, 236772, 624, 236772, 7986, 908, 157043, 69985, 236761, 108, 236772, 236743, 248879, 5213, 44244, 42348, 20449, 4025, 4556, 1018, 138, 107, 138, 236829, 56767, 149681, 14052, 100121, 607, 5442, 71661, 528, 35809, 26318, 1164, 236743, 236778, 236771, 236771, 236757, 39572, 236761, 138, 107, 138, 236829, 147716, 236772, 13692, 149681, 29134, 36100, 236772, 236754, 163131, 26931, 1913, 64597, 3409, 568, 20123, 236772, 9585, 769, 108, 1018, 236800, 236761, 32462, 28917, 1018, 107, 236772, 236743, 253468, 5213, 236798, 42348, 10687, 12258, 1018, 138, 107, 138, 236829, 56767, 149681, 74690, 49073, 236772, 34807, 35809, 236772, 11937, 170586, 532, 8835, 506, 28239, 22495, 236756, 32462, 15467, 568, 29097, 769, 138, 107, 138, 236829, 44289, 5086, 149681, 7167, 496, 6672, 4649, 214687, 3155, 607, 66700, 8208, 529, 506, 6225, 18414, 236761, 108, 236772, 236743, 243536, 5213, 236814, 40568, 4556, 568, 236799, 1525, 7149, 15007, 23855, 62902, 138, 107, 138, 236829, 56767, 149681, 5912, 1217, 496, 56701, 81035, 691, 22094, 1131, 496, 55438, 18481, 236761, 138, 107, 138, 236829, 102711, 2707, 149681, 154898, 528, 28172, 23241, 531, 3449, 1003, 13726, 82143, 5699, 236761, 108, 1018, 44410, 42272, 53121, 70535, 23092, 4459, 25806, 607, 496, 7642, 4196, 684, 22479, 496, 623, 92094, 236772, 1071, 236772, 66118, 236775, 8289, 600, 32407, 63338, 27257, 607, 622, 31564, 11877, 4323, 1944, 13558, 29181, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 496, 236743, 236832, 236772, 1496, 76717, 18531, 1239, 12669, 236764, 653, 2847, 10231, 4889, 1133, 33485, 6035, 532, 1791, 4301, 18046, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 25890, 236888, 564, 236789, 236757, 52060, 8797, 26614, 506, 63338, 16064, 607, 22495, 236756, 236789, 236751, 9226, 14680, 1271, 600, 66700, 1927, 529, 506, 12461, 12054, 4011, 573, 1070, 61379, 2634, 11710, 236761, 3792, 786, 2426, 2613, 1271, 659, 993, 1027, 3892, 4108, 236755, 1853, 3541, 143700, 1389, 63338, 653, 22495, 236756, 600, 564, 740, 64943, 657, 1680, 22479, 236881, 1637, 611, 740, 1586, 886, 607, 16279, 9314, 528, 1724, 4106, 236764, 600, 236789, 236753, 1601, 786, 50611, 506, 24974, 573, 1041, 1610, 14767, 30295, 236761, 119558, 236772, 5059, 236764, 564, 236789, 236757, 55055, 63338, 236789, 236751, 2101, 236743, 236770, 236761, 236810, 237366, 236773, 236743, 236800, 236810, 236761, 236810, 237366, 236788, 532, 22495, 236756, 3541, 236743, 236778, 236761, 236778, 236825, 237366, 236773, 236743, 236812, 236771, 236761, 236819, 237366, 236788, 236881, 3790, 2889, 768, 1724, 659, 4453, 3487, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 19954, 236776, 236772, 236770, 236771, 236770, 827, 623, 3250, 1083, 623, 201883, 7940, 76167, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 59495, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236770, 236761, 236778, 236800, 236764, 623, 41713, 1083, 236743, 236800, 236810, 236761, 236812, 236810, 236764, 623, 13319, 1083, 623, 18755, 527, 1389, 63338, 827, 623, 14801, 1083, 623, 166759, 236775, 5237, 3714, 547, 1083, 623, 19954, 236776, 236772, 236770, 236771, 236778, 827, 623, 3250, 1083, 623, 71087, 11644, 65064, 5841, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 59495, 236778, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236770, 236761, 236810, 236764, 623, 41713, 1083, 236743, 236800, 236810, 236761, 236832, 236764, 623, 13319, 1083, 623, 18755, 527, 1389, 63338, 4025, 21616, 827, 623, 14801, 1083, 623, 166759, 127096, 1604, 623, 7655, 1083, 3714, 3709, 1083, 236743, 236778, 236764, 623, 10694, 1083, 623, 501, 827, 623, 4919, 1083, 623, 5166, 236755, 1853, 236787, 3304, 236764, 7125, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 89458, 236836, 236772, 236812, 236771, 236819, 236770, 827, 623, 3250, 1083, 623, 236798, 42348, 9500, 18414, 5841, 753, 116207, 209472, 7455, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 35432, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 6030, 236756, 236812, 236771, 236819, 236770, 236761, 4034, 827, 623, 35396, 1083, 623, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 827, 623, 31512, 1083, 623, 236771, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236778, 236761, 236778, 236810, 236828, 236819, 236764, 623, 41713, 1083, 236743, 236812, 236771, 236761, 236819, 236770, 236778, 236800, 236764, 623, 13319, 1083, 623, 236798, 42348, 827, 623, 14801, 1083, 623, 166759, 236775, 5237, 3714, 547, 1083, 623, 4868, 40569, 236772, 236800, 236810, 236810, 236771, 827, 623, 3250, 1083, 623, 18755, 527, 1389, 63338, 48683, 9090, 753, 39412, 7455, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 35432, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 841, 2032, 236800, 236810, 236810, 236771, 236761, 4034, 827, 623, 35396, 1083, 623, 236770, 236778, 236828, 236771, 236781, 236832, 236778, 236771, 827, 623, 31512, 1083, 623, 236771, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236770, 236761, 236812, 236828, 236800, 236800, 236764, 623, 41713, 1083, 236743, 236800, 236810, 236761, 236810, 236825, 236825, 236832, 236764, 623, 13319, 1083, 623, 18755, 527, 1389, 63338, 827, 623, 14801, 1083, 623, 166759, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 659, 3892, 4108, 236755, 1853, 16590, 822, 10521, 528, 27418, 236787, 108, 1018, 18755, 527, 1389, 63338, 6940, 236755, 1853, 1018, 138, 107, 236770, 236761, 5213, 71087, 11644, 65064, 5841, 1018, 138, 107, 139, 236772, 119558, 236787, 753, 236770, 236761, 236810, 237366, 236773, 236743, 236800, 236810, 236761, 236832, 237366, 236788, 138, 107, 139, 236772, 47278, 236787, 11876, 568, 236770, 236778, 236828, 236771, 236781, 236832, 236778, 236771, 236768, 138, 107, 139, 236772, 15097, 4387, 236787, 870, 9541, 3205, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 841, 2032, 236800, 236810, 236810, 236771, 236761, 4034, 236768, 138, 107, 139, 236772, 25772, 236787, 39412, 236772, 41889, 3322, 3541, 76194, 28985, 138, 108, 236778, 236761, 5213, 201883, 7940, 76167, 1018, 138, 107, 139, 236772, 119558, 236787, 753, 236770, 236761, 236778, 236800, 237366, 236773, 236743, 236800, 236810, 236761, 236812, 236810, 237366, 236788, 138, 107, 139, 236772, 47278, 236787, 13029, 568, 19852, 1186, 236768, 138, 107, 139, 236772, 15097, 4387, 236787, 870, 9541, 3205, 5457, 2574, 1411, 5166, 15035, 236786, 59495, 236770, 236761, 4034, 236768, 138, 107, 139, 236772, 7918, 236787, 13946, 7075, 573, 8098, 52210, 84015, 138, 108, 1018, 236798, 42348, 6940, 236755, 1853, 1018, 138, 107, 236770, 236761, 5213, 236798, 42348, 9500, 18414, 5841, 753, 116207, 209472, 7455, 1018, 138, 107, 139, 236772, 119558, 236787, 753, 236778, 236761, 236778, 236810, 236828, 236819, 237366, 236773, 236743, 236812, 236771, 236761, 236819, 236770, 236778, 236800, 237366, 236788, 138, 107, 139, 236772, 47278, 236787, 10456, 11876, 568, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 236768, 138, 107, 139, 236772, 15097, 4387, 236787, 870, 9541, 3205, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 6030, 236756, 236812, 236771, 236819, 236770, 236761, 4034, 236768, 138, 107, 139, 236772, 25772, 236787, 186051, 6225, 18414, 8208, 699, 496, 66700, 138, 108, 11069, 15375, 964, 1401, 11459, 236888, 669, 63338, 4108, 236755, 1853, 3798, 2351, 822, 236743, 236770, 236761, 236810, 237366, 236773, 236743, 236800, 236810, 236761, 236810, 237366, 236788, 10967, 236764, 532, 506, 22495, 236756, 3322, 563, 1164, 236743, 236771, 236761, 236771, 236771, 236770, 237366, 1135, 822, 236743, 236778, 236761, 236778, 236825, 237366, 236773, 236743, 236812, 236771, 236761, 236819, 237366, 236788, 3328, 236761, 138, 108, 2542, 61379, 2634, 11710, 4866, 236787, 138, 107, 236772, 669, 5213, 236798, 42348, 66700, 3322, 1018, 795, 1407, 611, 25260, 2214, 3439, 532, 31035, 4889, 138, 107, 236772, 669, 5213, 201883, 4108, 236755, 1853, 1018, 16913, 207897, 24974, 9935, 532, 7626, 7296, 138, 107, 236772, 10508, 11024, 2729, 11876, 40037, 1271, 4011, 573, 16319, 34624, 532, 2258, 140918, 138, 108, 38786, 611, 1133, 786, 531, 2426, 573, 28594, 7606, 9935, 657, 1239, 11024, 531, 1601, 607, 30295, 9886, 236881, 106, 107, 105, 2364, 107, 100409, 236764, 1531, 236789, 236751, 2426, 506, 28594, 9935, 573, 1800, 16746, 236761, 1701, 143700, 1389, 63338, 236764, 564, 236858, 236753, 1133, 531, 1281, 506, 1791, 3794, 573, 3582, 55748, 532, 11893, 6927, 531, 12203, 1724, 13935, 236772, 13807, 7626, 91825, 236761, 1452, 573, 22495, 236756, 236764, 564, 1202, 531, 5571, 11519, 31992, 600, 188657, 607, 31633, 3627, 236761, 3199, 611, 8091, 4803, 7606, 15067, 1699, 506, 4668, 236779, 2305, 5904, 607, 30154, 1133, 756, 18755, 527, 1389, 63338, 6299, 3409, 236743, 236778, 236771, 236778, 236812, 236789, 532, 756, 236798, 42348, 25260, 10022, 9935, 103709, 2981, 1595, 564, 236858, 859, 1281, 3363, 531, 3294, 35740, 236751, 573, 217714, 3439, 653, 24911, 573, 18487, 26808, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 18755, 527, 1389, 63338, 120683, 21107, 32681, 20273, 528, 236743, 236778, 236771, 236778, 236812, 236764, 173371, 39412, 37728, 827, 623, 6011, 1083, 623, 2805, 77463, 6299, 3439, 528, 6027, 532, 7250, 236743, 236778, 236771, 236778, 236812, 735, 4464, 12567, 23092, 24099, 7760, 528, 143700, 1389, 63338, 236764, 607, 11848, 44986, 54724, 55748, 532, 7005, 37494, 1343, 5142, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 841, 527, 1389, 236772, 59495, 236772, 51686, 236772, 19458, 236772, 236778, 236771, 236778, 236812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 99078, 8708, 236787, 143700, 1389, 63338, 236789, 236751, 32681, 20273, 72627, 8754, 8099, 236772, 10960, 211744, 827, 623, 6011, 1083, 623, 163500, 3535, 1262, 21577, 496, 236743, 236770, 236810, 236908, 11086, 528, 5261, 236772, 12055, 37494, 1024, 506, 3068, 15588, 236764, 607, 236743, 236778, 236771, 236778, 236812, 236789, 236751, 6299, 3409, 6250, 236743, 236800, 5695, 6517, 1082, 11858, 52916, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 841, 527, 1389, 236772, 59495, 236772, 66518, 236772, 44215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236771, 236770, 23179, 3714, 3250, 1083, 623, 43369, 38299, 236789, 236751, 15308, 236787, 16522, 47329, 32288, 528, 143700, 1389, 63338, 43633, 9529, 32681, 20273, 827, 623, 6011, 1083, 623, 181186, 58683, 2072, 20987, 27820, 532, 2214, 3325, 528, 236743, 236778, 236771, 236778, 236812, 236789, 236751, 6299, 3409, 236764, 607, 31992, 4535, 30264, 531, 236743, 236812, 236771, 236908, 1913, 11519, 58745, 3885, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 841, 527, 1389, 236772, 59495, 236772, 119653, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 23179, 3714, 3250, 1083, 623, 236798, 42348, 236789, 236751, 59988, 32319, 212693, 18466, 547, 18565, 19987, 173314, 72627, 827, 623, 6011, 1083, 623, 8409, 53685, 27418, 9871, 6299, 3439, 236764, 22495, 236756, 187195, 32618, 236743, 236832, 236810, 236772, 236828, 236810, 236908, 31992, 1051, 236772, 979, 236764, 7107, 8991, 573, 11690, 1610, 11381, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 6030, 236756, 236772, 66518, 236772, 236778, 236771, 236778, 236812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236828, 23179, 3714, 3250, 1083, 623, 236778, 236771, 236778, 236812, 28789, 42746, 236787, 97441, 28728, 32288, 573, 99490, 39412, 532, 59988, 4585, 151945, 827, 623, 6011, 1083, 623, 73659, 13253, 5433, 506, 56938, 529, 13610, 87725, 528, 207897, 9576, 14922, 33086, 25260, 20511, 236764, 21574, 1800, 20623, 18597, 22793, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 3146, 2373, 236772, 19323, 236772, 236778, 236771, 236778, 236812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236810, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 24948, 1083, 78493, 3250, 1083, 623, 236778, 236771, 236778, 236812, 22495, 236756, 59988, 32319, 16785, 181169, 95495, 193737, 9529, 32681, 20273, 827, 623, 6011, 1083, 623, 236776, 4803, 2748, 684, 506, 27418, 142291, 5570, 3831, 22495, 236756, 236789, 236751, 25260, 4106, 24165, 496, 236743, 236770, 236810, 236908, 11086, 528, 37494, 1913, 506, 6672, 6299, 3409, 236764, 607, 4869, 50670, 6224, 21574, 2263, 42433, 10498, 623, 6265, 1083, 623, 166759, 142291, 5570, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 23179, 3714, 3250, 1083, 623, 99078, 14376, 176011, 22495, 236756, 236789, 236751, 208719, 72627, 236764, 133189, 4585, 88219, 827, 623, 6011, 1083, 623, 13149, 14168, 2072, 34064, 31992, 4535, 528, 22495, 236756, 236764, 607, 11519, 20511, 1492, 22904, 1156, 3794, 6517, 1082, 11858, 52916, 236764, 14798, 31633, 11421, 236789, 2561, 12871, 10498, 623, 6265, 1083, 623, 236798, 42348, 18592, 6498, 6022, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236828, 23179, 3714, 3250, 1083, 623, 165279, 140165, 62382, 573, 22495, 236756, 236789, 236751, 65213, 59988, 32319, 827, 623, 6011, 1083, 623, 4199, 15700, 699, 506, 22495, 236756, 5796, 7124, 5840, 35740, 236772, 5140, 11710, 5417, 573, 11421, 16270, 1534, 5142, 236772, 36022, 2779, 531, 59160, 31992, 57952, 10498, 623, 6265, 1083, 623, 236798, 42348, 5796, 37728, 6885, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14060, 531, 30726, 822, 1610, 14767, 30295, 236787, 108, 1018, 18755, 527, 1389, 63338, 236787, 32681, 20273, 7707, 44283, 1018, 138, 107, 236772, 5213, 17043, 3794, 573, 3582, 55748, 53121, 4179, 236772, 40885, 236743, 236778, 236771, 236778, 236812, 568, 236800, 5695, 6517, 30252, 1082, 10925, 236768, 138, 107, 236772, 5213, 117106, 53121, 236743, 236812, 236771, 236772, 236810, 236771, 236908, 1913, 58745, 3885, 568, 63914, 573, 4446, 42145, 236768, 138, 107, 236772, 5213, 17717, 53121, 160093, 29972, 4785, 1343, 5142, 568, 50936, 573, 13935, 236772, 13807, 91825, 236768, 138, 107, 236772, 5213, 47619, 7003, 53121, 236743, 236770, 236810, 236908, 2344, 6927, 1082, 11858, 52916, 14004, 136974, 24974, 138, 107, 236772, 5213, 1489, 6508, 53121, 13079, 24911, 573, 20997, 2214, 79339, 532, 11893, 1406, 198969, 4652, 138, 108, 1018, 236798, 42348, 236787, 59988, 208719, 84150, 1018, 138, 107, 236772, 5213, 16431, 236772, 979, 31992, 53121, 236743, 236832, 236810, 236772, 236828, 236810, 236908, 568, 139002, 522, 573, 31633, 3627, 236768, 138, 107, 236772, 5213, 4199, 3759, 53121, 43633, 20511, 1492, 10263, 236743, 236778, 3794, 6517, 568, 27562, 57952, 3353, 236772, 30211, 236768, 138, 107, 236772, 5213, 13149, 25809, 53121, 102371, 236751, 23034, 573, 5142, 236772, 28104, 4301, 568, 721, 22495, 236756, 37728, 6885, 236768, 138, 107, 236772, 5213, 135673, 21238, 53121, 22495, 236756, 32462, 15467, 568, 29097, 236768, 5469, 136974, 3439, 607, 236743, 236825, 236810, 236908, 31992, 138, 107, 236772, 5213, 9004, 24616, 53121, 6890, 26800, 3627, 6310, 653, 1743, 573, 88427, 3018, 837, 19171, 20511, 2480, 138, 108, 1018, 165108, 85134, 4361, 1018, 138, 107, 245838, 5213, 201883, 236772, 41889, 14767, 53121, 138, 107, 236772, 15909, 42145, 568, 8970, 29029, 528, 2708, 31992, 236768, 138, 107, 236772, 19296, 236772, 124001, 15414, 573, 61379, 2634, 176632, 138, 107, 236772, 50499, 236772, 36954, 16078, 13526, 138, 108, 245838, 5213, 236798, 42348, 236772, 2788, 5434, 53121, 138, 107, 236772, 102371, 34332, 607, 7247, 236772, 223442, 63938, 138, 107, 236772, 27213, 236772, 47505, 31633, 11802, 138, 107, 236772, 166855, 8239, 37924, 573, 1610, 1624, 31992, 2256, 138, 108, 1018, 61192, 121722, 98964, 53121, 138, 107, 818, 63338, 236789, 236751, 20987, 27820, 100146, 607, 22495, 236756, 236789, 236751, 877, 236772, 77269, 4771, 1271, 1966, 39252, 822, 7946, 1534, 5213, 30651, 236772, 27403, 1018, 573, 12567, 3439, 3418, 1800, 11024, 236761, 138, 108, 38786, 611, 1133, 786, 531, 4071, 236772, 30449, 672, 607, 9226, 14680, 14069, 653, 2619, 496, 6429, 60218, 2721, 580, 822, 12373, 116226, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 99447, 531, 2731, 2264, 41512, 7946, 531, 7959, 1308, 1041, 1774, 236772, 20353, 34483, 4828, 3012, 236761, 564, 6827, 1822, 2432, 1003, 27418, 236789, 236751, 143700, 1389, 63338, 23092, 27257, 236764, 840, 564, 236789, 236753, 2765, 531, 1460, 784, 506, 1903, 16746, 3418, 506, 30817, 236761, 3199, 611, 1161, 506, 20623, 236779, 712, 41560, 5904, 573, 27418, 532, 1407, 786, 506, 12669, 532, 11024, 236881, 564, 1461, 531, 1460, 1144, 11497, 53039, 564, 740, 1586, 573, 614, 58931, 2707, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 1201, 1083, 623, 181186, 833, 15007, 827, 623, 21853, 1083, 78493, 1201, 1083, 623, 18755, 527, 1389, 63338, 4025, 21616, 827, 623, 7777, 1083, 623, 14447, 236772, 134180, 573, 506, 8098, 52210, 529, 117028, 191731, 532, 8191, 17443, 236764, 9722, 20987, 2563, 5866, 129762, 10498, 623, 54012, 1083, 623, 17043, 990, 531, 3517, 236787, 5505, 236772, 36817, 23179, 3714, 1201, 1083, 623, 6700, 46757, 5812, 4025, 4556, 827, 623, 7777, 1083, 623, 11405, 525, 8208, 529, 9348, 221121, 11983, 8404, 607, 2455, 38487, 82130, 532, 89822, 42433, 10498, 623, 54012, 1083, 623, 125129, 102071, 657, 36597, 236775, 200808, 3714, 1201, 1083, 623, 3912, 5179, 833, 14073, 827, 623, 21853, 1083, 78493, 1201, 1083, 623, 236796, 31564, 11877, 827, 623, 7777, 1083, 623, 236791, 2323, 688, 2173, 236772, 38150, 7642, 607, 54596, 14513, 236764, 7436, 573, 119949, 532, 1813, 8568, 10498, 623, 54012, 1083, 623, 21998, 3571, 506, 1903, 236743, 236770, 236771, 28439, 528, 506, 1902, 23179, 3714, 1201, 1083, 623, 44244, 42348, 20449, 4025, 4556, 827, 623, 7777, 1083, 623, 49388, 35809, 78498, 532, 12801, 18538, 1972, 236764, 4011, 573, 32316, 532, 28597, 236772, 236745, 2278, 10498, 623, 54012, 1083, 623, 9435, 531, 56914, 5442, 71661, 236775, 200808, 3714, 1201, 1083, 623, 111534, 28917, 827, 623, 21853, 1083, 78493, 1201, 1083, 623, 236798, 42348, 10687, 12258, 827, 623, 7777, 1083, 623, 163537, 4109, 28917, 20103, 607, 4649, 214687, 13217, 236764, 121131, 236772, 6796, 15729, 236764, 532, 8326, 25260, 4083, 10498, 623, 54012, 1083, 623, 68051, 22495, 236756, 32462, 15467, 23179, 3714, 1201, 1083, 623, 236814, 40568, 4556, 568, 236799, 1525, 7149, 15007, 23855, 22730, 623, 7777, 1083, 623, 1479, 20415, 774, 56701, 81035, 58442, 13726, 42433, 532, 2263, 51699, 236786, 5742, 5216, 10498, 623, 54012, 1083, 623, 102711, 28597, 236772, 52531, 6607, 236775, 15947, 104960, 623, 14801, 1083, 623, 166759, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 67722, 8214, 531, 27418, 236789, 236751, 1903, 20623, 16746, 3418, 1806, 12669, 236764, 2440, 1800, 22799, 34091, 532, 11497, 53039, 236787, 108, 1018, 236770, 236761, 39412, 833, 15007, 1018, 107, 236772, 236743, 245318, 5213, 18755, 527, 1389, 63338, 4025, 21616, 1018, 138, 107, 138, 236829, 56767, 149681, 55694, 506, 8098, 52210, 568, 30211, 236772, 36817, 236768, 607, 13889, 529, 117028, 191731, 22353, 78496, 236772, 184301, 25971, 236761, 138, 107, 138, 236829, 1489, 6508, 149681, 7167, 496, 3425, 236772, 1404, 21812, 76194, 657, 36597, 573, 58931, 19658, 8208, 236761, 108, 236772, 236743, 247506, 5213, 6700, 46757, 5812, 4025, 4556, 1018, 138, 107, 138, 236829, 56767, 149681, 118927, 67107, 2342, 506, 25079, 529, 9348, 221121, 11983, 8404, 657, 13935, 6468, 236761, 138, 107, 138, 236829, 35093, 4926, 149681, 46071, 82113, 42433, 1298, 50205, 585, 3549, 572, 1051, 236772, 979, 236761, 108, 1018, 236778, 236761, 135890, 833, 14073, 1018, 107, 236772, 236743, 248046, 238178, 5213, 236796, 31564, 11877, 1018, 138, 107, 138, 236829, 56767, 149681, 137136, 3571, 506, 1902, 236789, 236751, 1903, 236743, 236770, 236771, 28439, 573, 1061, 236743, 236770, 236771, 11375, 10161, 529, 150839, 2173, 6784, 236761, 138, 107, 138, 236829, 13149, 6789, 149681, 26922, 14942, 2111, 157043, 29329, 13988, 573, 8401, 2764, 236772, 624, 236772, 7986, 908, 157043, 69985, 236761, 108, 236772, 236743, 248879, 5213, 44244, 42348, 20449, 4025, 4556, 1018, 138, 107, 138, 236829, 56767, 149681, 14052, 100121, 607, 5442, 71661, 528, 35809, 26318, 1164, 236743, 236778, 236771, 236771, 236757, 39572, 236761, 138, 107, 138, 236829, 147716, 236772, 13692, 149681, 29134, 36100, 236772, 236754, 163131, 26931, 1913, 64597, 3409, 568, 20123, 236772, 9585, 769, 108, 1018, 236800, 236761, 32462, 28917, 1018, 107, 236772, 236743, 253468, 5213, 236798, 42348, 10687, 12258, 1018, 138, 107, 138, 236829, 56767, 149681, 74690, 49073, 236772, 34807, 35809, 236772, 11937, 170586, 532, 8835, 506, 28239, 22495, 236756, 32462, 15467, 568, 29097, 769, 138, 107, 138, 236829, 44289, 5086, 149681, 7167, 496, 6672, 4649, 214687, 3155, 607, 66700, 8208, 529, 506, 6225, 18414, 236761, 108, 236772, 236743, 243536, 5213, 236814, 40568, 4556, 568, 236799, 1525, 7149, 15007, 23855, 62902, 138, 107, 138, 236829, 56767, 149681, 5912, 1217, 496, 56701, 81035, 691, 22094, 1131, 496, 55438, 18481, 236761, 138, 107, 138, 236829, 102711, 2707, 149681, 154898, 528, 28172, 23241, 531, 3449, 1003, 13726, 82143, 5699, 236761, 108, 1018, 44410, 42272, 53121, 70535, 23092, 4459, 25806, 607, 496, 7642, 4196, 684, 22479, 496, 623, 92094, 236772, 1071, 236772, 66118, 236775, 8289, 600, 32407, 63338, 27257, 607, 622, 31564, 11877, 4323, 1944, 13558, 29181, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 496, 236743, 236832, 236772, 1496, 76717, 18531, 1239, 12669, 236764, 653, 2847, 10231, 4889, 1133, 33485, 6035, 532, 1791, 4301, 18046, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 25890, 236888, 564, 236789, 236757, 52060, 8797, 26614, 506, 63338, 16064, 607, 22495, 236756, 236789, 236751, 9226, 14680, 1271, 600, 66700, 1927, 529, 506, 12461, 12054, 4011, 573, 1070, 61379, 2634, 11710, 236761, 3792, 786, 2426, 2613, 1271, 659, 993, 1027, 3892, 4108, 236755, 1853, 3541, 143700, 1389, 63338, 653, 22495, 236756, 600, 564, 740, 64943, 657, 1680, 22479, 236881, 1637, 611, 740, 1586, 886, 607, 16279, 9314, 528, 1724, 4106, 236764, 600, 236789, 236753, 1601, 786, 50611, 506, 24974, 573, 1041, 1610, 14767, 30295, 236761, 119558, 236772, 5059, 236764, 564, 236789, 236757, 55055, 63338, 236789, 236751, 2101, 236743, 236770, 236761, 236810, 237366, 236773, 236743, 236800, 236810, 236761, 236810, 237366, 236788, 532, 22495, 236756, 3541, 236743, 236778, 236761, 236778, 236825, 237366, 236773, 236743, 236812, 236771, 236761, 236819, 237366, 236788, 236881, 3790, 2889, 768, 1724, 659, 4453, 3487, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 19954, 236776, 236772, 236770, 236771, 236770, 827, 623, 3250, 1083, 623, 201883, 7940, 76167, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 59495, 236770, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236770, 236761, 236778, 236800, 236764, 623, 41713, 1083, 236743, 236800, 236810, 236761, 236812, 236810, 236764, 623, 13319, 1083, 623, 18755, 527, 1389, 63338, 827, 623, 14801, 1083, 623, 166759, 236775, 5237, 3714, 547, 1083, 623, 19954, 236776, 236772, 236770, 236771, 236778, 827, 623, 3250, 1083, 623, 71087, 11644, 65064, 5841, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 236786, 59495, 236778, 236761, 4034, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236770, 236761, 236810, 236764, 623, 41713, 1083, 236743, 236800, 236810, 236761, 236832, 236764, 623, 13319, 1083, 623, 18755, 527, 1389, 63338, 4025, 21616, 827, 623, 14801, 1083, 623, 166759, 127096, 1604, 623, 7655, 1083, 3714, 3709, 1083, 236743, 236778, 236764, 623, 10694, 1083, 623, 501, 827, 623, 4919, 1083, 623, 5166, 236755, 1853, 236787, 3304, 236764, 7125, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 89458, 236836, 236772, 236812, 236771, 236819, 236770, 827, 623, 3250, 1083, 623, 236798, 42348, 9500, 18414, 5841, 753, 116207, 209472, 7455, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 35432, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 6030, 236756, 236812, 236771, 236819, 236770, 236761, 4034, 827, 623, 35396, 1083, 623, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 827, 623, 31512, 1083, 623, 236771, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236778, 236761, 236778, 236810, 236828, 236819, 236764, 623, 41713, 1083, 236743, 236812, 236771, 236761, 236819, 236770, 236778, 236800, 236764, 623, 13319, 1083, 623, 236798, 42348, 827, 623, 14801, 1083, 623, 166759, 236775, 5237, 3714, 547, 1083, 623, 4868, 40569, 236772, 236800, 236810, 236810, 236771, 827, 623, 3250, 1083, 623, 18755, 527, 1389, 63338, 48683, 9090, 753, 39412, 7455, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 35432, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 841, 2032, 236800, 236810, 236810, 236771, 236761, 4034, 827, 623, 35396, 1083, 623, 236770, 236778, 236828, 236771, 236781, 236832, 236778, 236771, 827, 623, 31512, 1083, 623, 236771, 236775, 5237, 623, 7125, 1083, 3714, 37673, 1083, 753, 236770, 236761, 236812, 236828, 236800, 236800, 236764, 623, 41713, 1083, 236743, 236800, 236810, 236761, 236810, 236825, 236825, 236832, 236764, 623, 13319, 1083, 623, 18755, 527, 1389, 63338, 827, 623, 14801, 1083, 623, 166759, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 659, 3892, 4108, 236755, 1853, 16590, 822, 10521, 528, 27418, 236787, 108, 1018, 18755, 527, 1389, 63338, 6940, 236755, 1853, 1018, 138, 107, 236770, 236761, 5213, 71087, 11644, 65064, 5841, 1018, 138, 107, 139, 236772, 119558, 236787, 753, 236770, 236761, 236810, 237366, 236773, 236743, 236800, 236810, 236761, 236832, 237366, 236788, 138, 107, 139, 236772, 47278, 236787, 11876, 568, 236770, 236778, 236828, 236771, 236781, 236832, 236778, 236771, 236768, 138, 107, 139, 236772, 15097, 4387, 236787, 870, 9541, 3205, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 841, 2032, 236800, 236810, 236810, 236771, 236761, 4034, 236768, 138, 107, 139, 236772, 25772, 236787, 39412, 236772, 41889, 3322, 3541, 76194, 28985, 138, 108, 236778, 236761, 5213, 201883, 7940, 76167, 1018, 138, 107, 139, 236772, 119558, 236787, 753, 236770, 236761, 236778, 236800, 237366, 236773, 236743, 236800, 236810, 236761, 236812, 236810, 237366, 236788, 138, 107, 139, 236772, 47278, 236787, 13029, 568, 19852, 1186, 236768, 138, 107, 139, 236772, 15097, 4387, 236787, 870, 9541, 3205, 5457, 2574, 1411, 5166, 15035, 236786, 59495, 236770, 236761, 4034, 236768, 138, 107, 139, 236772, 7918, 236787, 13946, 7075, 573, 8098, 52210, 84015, 138, 108, 1018, 236798, 42348, 6940, 236755, 1853, 1018, 138, 107, 236770, 236761, 5213, 236798, 42348, 9500, 18414, 5841, 753, 116207, 209472, 7455, 1018, 138, 107, 139, 236772, 119558, 236787, 753, 236778, 236761, 236778, 236810, 236828, 236819, 237366, 236773, 236743, 236812, 236771, 236761, 236819, 236770, 236778, 236800, 237366, 236788, 138, 107, 139, 236772, 47278, 236787, 10456, 11876, 568, 236770, 236819, 236778, 236771, 236781, 236770, 236771, 236828, 236771, 236768, 138, 107, 139, 236772, 15097, 4387, 236787, 870, 9541, 3205, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 35432, 236786, 6030, 236756, 236812, 236771, 236819, 236770, 236761, 4034, 236768, 138, 107, 139, 236772, 25772, 236787, 186051, 6225, 18414, 8208, 699, 496, 66700, 138, 108, 11069, 15375, 964, 1401, 11459, 236888, 669, 63338, 4108, 236755, 1853, 3798, 2351, 822, 236743, 236770, 236761, 236810, 237366, 236773, 236743, 236800, 236810, 236761, 236810, 237366, 236788, 10967, 236764, 532, 506, 22495, 236756, 3322, 563, 1164, 236743, 236771, 236761, 236771, 236771, 236770, 237366, 1135, 822, 236743, 236778, 236761, 236778, 236825, 237366, 236773, 236743, 236812, 236771, 236761, 236819, 237366, 236788, 3328, 236761, 138, 108, 2542, 61379, 2634, 11710, 4866, 236787, 138, 107, 236772, 669, 5213, 236798, 42348, 66700, 3322, 1018, 795, 1407, 611, 25260, 2214, 3439, 532, 31035, 4889, 138, 107, 236772, 669, 5213, 201883, 4108, 236755, 1853, 1018, 16913, 207897, 24974, 9935, 532, 7626, 7296, 138, 107, 236772, 10508, 11024, 2729, 11876, 40037, 1271, 4011, 573, 16319, 34624, 532, 2258, 140918, 138, 108, 38786, 611, 1133, 786, 531, 2426, 573, 28594, 7606, 9935, 657, 1239, 11024, 531, 1601, 607, 30295, 9886, 236881, 106, 107, 105, 2364, 107, 100409, 236764, 1531, 236789, 236751, 2426, 506, 28594, 9935, 573, 1800, 16746, 236761, 1701, 143700, 1389, 63338, 236764, 564, 236858, 236753, 1133, 531, 1281, 506, 1791, 3794, 573, 3582, 55748, 532, 11893, 6927, 531, 12203, 1724, 13935, 236772, 13807, 7626, 91825, 236761, 1452, 573, 22495, 236756, 236764, 564, 1202, 531, 5571, 11519, 31992, 600, 188657, 607, 31633, 3627, 236761, 3199, 611, 8091, 4803, 7606, 15067, 1699, 506, 4668, 236779, 2305, 5904, 607, 30154, 1133, 756, 18755, 527, 1389, 63338, 6299, 3409, 236743, 236778, 236771, 236778, 236812, 236789, 532, 756, 236798, 42348, 25260, 10022, 9935, 103709, 2981, 1595, 564, 236858, 859, 1281, 3363, 531, 3294, 35740, 236751, 573, 217714, 3439, 653, 24911, 573, 18487, 26808, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 18755, 527, 1389, 63338, 120683, 21107, 32681, 20273, 528, 236743, 236778, 236771, 236778, 236812, 236764, 173371, 39412, 37728, 827, 623, 6011, 1083, 623, 2805, 77463, 6299, 3439, 528, 6027, 532, 7250, 236743, 236778, 236771, 236778, 236812, 735, 4464, 12567, 23092, 24099, 7760, 528, 143700, 1389, 63338, 236764, 607, 11848, 44986, 54724, 55748, 532, 7005, 37494, 1343, 5142, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 841, 527, 1389, 236772, 59495, 236772, 51686, 236772, 19458, 236772, 236778, 236771, 236778, 236812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 99078, 8708, 236787, 143700, 1389, 63338, 236789, 236751, 32681, 20273, 72627, 8754, 8099, 236772, 10960, 211744, 827, 623, 6011, 1083, 623, 163500, 3535, 1262, 21577, 496, 236743, 236770, 236810, 236908, 11086, 528, 5261, 236772, 12055, 37494, 1024, 506, 3068, 15588, 236764, 607, 236743, 236778, 236771, 236778, 236812, 236789, 236751, 6299, 3409, 6250, 236743, 236800, 5695, 6517, 1082, 11858, 52916, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 841, 527, 1389, 236772, 59495, 236772, 66518, 236772, 44215, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236771, 236770, 23179, 3714, 3250, 1083, 623, 43369, 38299, 236789, 236751, 15308, 236787, 16522, 47329, 32288, 528, 143700, 1389, 63338, 43633, 9529, 32681, 20273, 827, 623, 6011, 1083, 623, 181186, 58683, 2072, 20987, 27820, 532, 2214, 3325, 528, 236743, 236778, 236771, 236778, 236812, 236789, 236751, 6299, 3409, 236764, 607, 31992, 4535, 30264, 531, 236743, 236812, 236771, 236908, 1913, 11519, 58745, 3885, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 841, 527, 1389, 236772, 59495, 236772, 119653, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236771, 23179, 3714, 3250, 1083, 623, 236798, 42348, 236789, 236751, 59988, 32319, 212693, 18466, 547, 18565, 19987, 173314, 72627, 827, 623, 6011, 1083, 623, 8409, 53685, 27418, 9871, 6299, 3439, 236764, 22495, 236756, 187195, 32618, 236743, 236832, 236810, 236772, 236828, 236810, 236908, 31992, 1051, 236772, 979, 236764, 7107, 8991, 573, 11690, 1610, 11381, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 6030, 236756, 236772, 66518, 236772, 236778, 236771, 236778, 236812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236828, 23179, 3714, 3250, 1083, 623, 236778, 236771, 236778, 236812, 28789, 42746, 236787, 97441, 28728, 32288, 573, 99490, 39412, 532, 59988, 4585, 151945, 827, 623, 6011, 1083, 623, 73659, 13253, 5433, 506, 56938, 529, 13610, 87725, 528, 207897, 9576, 14922, 33086, 25260, 20511, 236764, 21574, 1800, 20623, 18597, 22793, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236772, 12959, 236772, 8777, 236761, 854, 236786, 3146, 2373, 236772, 19323, 236772, 236778, 236771, 236778, 236812, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236810, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 24948, 1083, 78493, 3250, 1083, 623, 236778, 236771, 236778, 236812, 22495, 236756, 59988, 32319, 16785, 181169, 95495, 193737, 9529, 32681, 20273, 827, 623, 6011, 1083, 623, 236776, 4803, 2748, 684, 506, 27418, 142291, 5570, 3831, 22495, 236756, 236789, 236751, 25260, 4106, 24165, 496, 236743, 236770, 236810, 236908, 11086, 528, 37494, 1913, 506, 6672, 6299, 3409, 236764, 607, 4869, 50670, 6224, 21574, 2263, 42433, 10498, 623, 6265, 1083, 623, 166759, 142291, 5570, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236778, 23179, 3714, 3250, 1083, 623, 99078, 14376, 176011, 22495, 236756, 236789, 236751, 208719, 72627, 236764, 133189, 4585, 88219, 827, 623, 6011, 1083, 623, 13149, 14168, 2072, 34064, 31992, 4535, 528, 22495, 236756, 236764, 607, 11519, 20511, 1492, 22904, 1156, 3794, 6517, 1082, 11858, 52916, 236764, 14798, 31633, 11421, 236789, 2561, 12871, 10498, 623, 6265, 1083, 623, 236798, 42348, 18592, 6498, 6022, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236828, 23179, 3714, 3250, 1083, 623, 165279, 140165, 62382, 573, 22495, 236756, 236789, 236751, 65213, 59988, 32319, 827, 623, 6011, 1083, 623, 4199, 15700, 699, 506, 22495, 236756, 5796, 7124, 5840, 35740, 236772, 5140, 11710, 5417, 573, 11421, 16270, 1534, 5142, 236772, 36022, 2779, 531, 59160, 31992, 57952, 10498, 623, 6265, 1083, 623, 236798, 42348, 5796, 37728, 6885, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14060, 531, 30726, 822, 1610, 14767, 30295, 236787, 108, 1018, 18755, 527, 1389, 63338, 236787, 32681, 20273, 7707, 44283, 1018, 138, 107, 236772, 5213, 17043, 3794, 573, 3582, 55748, 53121, 4179, 236772, 40885, 236743, 236778, 236771, 236778, 236812, 568, 236800, 5695, 6517, 30252, 1082, 10925, 236768, 138, 107, 236772, 5213, 117106, 53121, 236743, 236812, 236771, 236772, 236810, 236771, 236908, 1913, 58745, 3885, 568, 63914, 573, 4446, 42145, 236768, 138, 107, 236772, 5213, 17717, 53121, 160093, 29972, 4785, 1343, 5142, 568, 50936, 573, 13935, 236772, 13807, 91825, 236768, 138, 107, 236772, 5213, 47619, 7003, 53121, 236743, 236770, 236810, 236908, 2344, 6927, 1082, 11858, 52916, 14004, 136974, 24974, 138, 107, 236772, 5213, 1489, 6508, 53121, 13079, 24911, 573, 20997, 2214, 79339, 532, 11893, 1406, 198969, 4652, 138, 108, 1018, 236798, 42348, 236787, 59988, 208719, 84150, 1018, 138, 107, 236772, 5213, 16431, 236772, 979, 31992, 53121, 236743, 236832, 236810, 236772, 236828, 236810, 236908, 568, 139002, 522, 573, 31633, 3627, 236768, 138, 107, 236772, 5213, 4199, 3759, 53121, 43633, 20511, 1492, 10263, 236743, 236778, 3794, 6517, 568, 27562, 57952, 3353, 236772, 30211, 236768, 138, 107, 236772, 5213, 13149, 25809, 53121, 102371, 236751, 23034, 573, 5142, 236772, 28104, 4301, 568, 721, 22495, 236756, 37728, 6885, 236768, 138, 107, 236772, 5213, 135673, 21238, 53121, 22495, 236756, 32462, 15467, 568, 29097, 236768, 5469, 136974, 3439, 607, 236743, 236825, 236810, 236908, 31992, 138, 107, 236772, 5213, 9004, 24616, 53121, 6890, 26800, 3627, 6310, 653, 1743, 573, 88427, 3018, 837, 19171, 20511, 2480, 138, 108, 1018, 165108, 85134, 4361, 1018, 138, 107, 245838, 5213, 201883, 236772, 41889, 14767, 53121, 138, 107, 236772, 15909, 42145, 568, 8970, 29029, 528, 2708, 31992, 236768, 138, 107, 236772, 19296, 236772, 124001, 15414, 573, 61379, 2634, 176632, 138, 107, 236772, 50499, 236772, 36954, 16078, 13526, 138, 108, 245838, 5213, 236798, 42348, 236772, 2788, 5434, 53121, 138, 107, 236772, 102371, 34332, 607, 7247, 236772, 223442, 63938, 138, 107, 236772, 27213, 236772, 47505, 31633, 11802, 138, 107, 236772, 166855, 8239, 37924, 573, 1610, 1624, 31992, 2256, 138, 108, 1018, 61192, 121722, 98964, 53121, 138, 107, 818, 63338, 236789, 236751, 20987, 27820, 100146, 607, 22495, 236756, 236789, 236751, 877, 236772, 77269, 4771, 1271, 1966, 39252, 822, 7946, 1534, 5213, 30651, 236772, 27403, 1018, 573, 12567, 3439, 3418, 1800, 11024, 236761, 138, 108, 38786, 611, 1133, 786, 531, 4071, 236772, 30449, 672, 607, 9226, 14680, 14069, 653, 2619, 496, 6429, 60218, 2721, 580, 822, 12373, 116226, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1676, 5602, 10595, 573, 506, 565, 8461, 495, 661, 15233, 236772, 236832, 236771, 236771, 236771, 15735, 4504, 25406, 236761, 3199, 611, 12270, 506, 6524, 10595, 699, 51064, 236789, 236751, 1262, 2509, 236881, 1174, 795, 1601, 786, 10741, 768, 625, 236789, 236751, 506, 1447, 6828, 573, 1041, 19549, 9180, 236789, 236751, 24264, 6410, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236812, 236770, 236832, 236812, 236832, 236819, 236778, 236832, 236800, 827, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236772, 236832, 236828, 236819, 236770, 236771, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 8802, 236772, 52823, 573, 1023, 9180, 41218, 623, 1005, 1083, 623, 818, 565, 8461, 495, 661, 15233, 236772, 236832, 236771, 236771, 236771, 815, 22094, 1023, 24264, 1657, 236761, 35267, 2256, 563, 18997, 236764, 532, 506, 6538, 4065, 5383, 3885, 529, 12040, 11734, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236772, 236832, 236828, 236819, 236770, 236770, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 60881, 2016, 3325, 827, 623, 1005, 1083, 623, 894, 42021, 5431, 532, 3735, 531, 3980, 236761, 669, 1186, 62336, 563, 506, 4068, 10884, 3721, 4890, 1082, 4275, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236832, 236764, 623, 41028, 236779, 2003, 1083, 623, 1951, 598, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 10595, 573, 506, 5213, 236780, 8461, 495, 661, 15233, 236772, 236832, 236771, 236771, 236771, 15735, 4504, 25406, 1018, 699, 51064, 236789, 236751, 1262, 2509, 236787, 108, 10354, 9533, 70731, 236787, 107, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236810, 236786, 236810, 568, 5140, 580, 236743, 236770, 236778, 236832, 2558, 10595, 236768, 107, 236772, 5213, 8534, 51474, 66515, 107, 138, 236772, 5213, 236810, 236786, 236810, 66515, 623, 8802, 236772, 52823, 573, 1023, 9180, 9332, 138, 107, 140, 236829, 124319, 1117, 4022, 2256, 532, 6538, 4065, 5383, 3885, 529, 12040, 981, 9603, 107, 138, 236772, 5213, 236812, 236786, 236810, 66515, 623, 60881, 2016, 3325, 236775, 138, 107, 140, 236829, 894, 42021, 5431, 532, 3735, 531, 3980, 236764, 3635, 4068, 10884, 691, 990, 236772, 59711, 9603, 108, 10354, 25252, 236787, 107, 818, 15233, 236772, 236832, 236771, 236771, 236771, 21500, 3188, 30450, 573, 1061, 3736, 532, 39601, 236764, 3043, 625, 496, 13451, 5313, 573, 6635, 72223, 236761, 669, 6538, 4065, 532, 4022, 18510, 8913, 1388, 607, 506, 16332, 529, 496, 19549, 9180, 236789, 236751, 24264, 6410, 236761, 5978, 10884, 1149, 1660, 4481, 990, 82425, 236764, 506, 6782, 29945, 12205, 625, 236858, 236751, 496, 49649, 6828, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 19276, 19317, 236888, 236743, 249422, 240785, 106, 107, 105, 2364, 107, 818, 4414, 10595, 659, 24295, 236888, 4224, 564, 236858, 236753, 1133, 531, 2426, 506, 4867, 2404, 529, 565, 8461, 495, 661, 236858, 236751, 3724, 2544, 568, 1505, 1404, 24694, 236768, 531, 5330, 901, 236858, 859, 577, 2101, 573, 24227, 532, 1894, 236761, 3199, 611, 12270, 910, 17785, 1262, 1699, 506, 55947, 19666, 9299, 236881, 1174, 795, 1601, 786, 5608, 506, 1440, 236772, 6061, 55233, 529, 23324, 528, 910, 5842, 573, 1041, 9180, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 768, 1700, 1404, 24694, 568, 1437, 3724, 2544, 529, 565, 8461, 495, 661, 236768, 815, 25940, 38633, 2862, 531, 33205, 17785, 1262, 4323, 55947, 19666, 236761, 3153, 236764, 564, 1202, 531, 5433, 600, 5213, 1505, 1404, 24694, 563, 496, 47004, 4247, 2544, 125546, 837, 2820, 625, 4038, 236789, 236745, 2072, 17785, 25940, 653, 735, 496, 2862, 84390, 5404, 236761, 236743, 108, 10081, 506, 55947, 19666, 9299, 7087, 496, 2862, 84390, 5404, 531, 12270, 17785, 1262, 236764, 532, 1700, 1404, 24694, 563, 2147, 236764, 564, 3914, 33205, 910, 4867, 2404, 1343, 672, 3530, 5904, 236761, 236743, 108, 2542, 47004, 4247, 4699, 236764, 9302, 12668, 531, 5608, 4867, 11646, 3204, 236787, 107, 236772, 81573, 6327, 24074, 568, 236744, 236761, 236759, 1126, 23188, 833, 20014, 30419, 236768, 107, 236772, 9352, 522, 3956, 7248, 653, 4668, 1003, 3262, 33000, 236786, 73522, 107, 236772, 13948, 522, 506, 2544, 5467, 573, 4867, 111199, 108, 38786, 611, 1133, 14984, 580, 1027, 529, 1239, 24277, 236881, 106, 107, 105, 2364, 107, 10081, 1700, 1404, 24694, 563, 2147, 236764, 1531, 236789, 236751, 38179, 236761, 3199, 611, 2426, 2686, 25282, 573, 5213, 2825, 2987, 11138, 14508, 1018, 568, 64939, 236787, 16169, 236794, 779, 496, 3262, 43365, 528, 8351, 32010, 236881, 1174, 2473, 2583, 19352, 19317, 1131, 3956, 15067, 21574, 1700, 1404, 236761, 6890, 506, 2165, 14973, 236779, 828, 236779, 6473, 236779, 69753, 236929, 5904, 607, 84390, 16169, 236794, 531, 1460, 4803, 55470, 1003, 1698, 36253, 653, 4867, 3736, 236761, 1174, 1451, 1601, 5608, 506, 25898, 2436, 55233, 573, 13965, 1133, 565, 8461, 495, 661, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6473, 236779, 69753, 1083, 78493, 3250, 1083, 623, 2825, 2987, 11138, 14508, 185131, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 27999, 6809, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 2825, 2987, 11138, 14508, 795, 5588, 1855, 236772, 33255, 236743, 236778, 236771, 236778, 236810, 4867, 2536, 580, 5505, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 6641, 684, 496, 3892, 211371, 531, 3249, 3736, 532, 14971, 19898, 10498, 623, 2451, 1083, 623, 2574, 1411, 30642, 504, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 6473, 236772, 18381, 236786, 236778, 236771, 236778, 236810, 236786, 236809, 236778, 236772, 12103, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 190304, 15735, 30409, 215009, 10452, 607, 12498, 236772, 106731, 25772, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 4199, 6538, 115901, 236764, 142006, 236764, 532, 13415, 60765, 616, 18482, 8300, 236772, 38321, 14049, 16979, 236764, 2778, 18088, 236764, 532, 15028, 12434, 1492, 2487, 27768, 10498, 623, 2451, 1083, 623, 2574, 1411, 12959, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 32306, 236772, 93420, 236772, 29184, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 27708, 19558, 72143, 8921, 48602, 528, 236743, 236778, 236771, 236778, 236810, 86101, 12579, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 28534, 64972, 236743, 236812, 236771, 236908, 9095, 528, 34871, 4314, 17446, 532, 236743, 236819, 236771, 236908, 55577, 81336, 3418, 4695, 3668, 8848, 236764, 34957, 236743, 236778, 236771, 236800, 236771, 14989, 10498, 623, 2451, 1083, 623, 2574, 1411, 12959, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 507, 236759, 236772, 15443, 236772, 236778, 236771, 236778, 236810, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 13642, 2964, 45012, 607, 100756, 9904, 105432, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 4199, 23047, 607, 10321, 532, 6573, 2778, 25684, 795, 2066, 236743, 236832, 236810, 236908, 529, 6693, 11675, 6485, 607, 127162, 684, 1345, 529, 236743, 236778, 236771, 236778, 236810, 10498, 623, 2451, 1083, 623, 2574, 1411, 30642, 504, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 197054, 236772, 23325, 236772, 232958, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 144675, 3741, 12498, 82612, 531, 62072, 606, 15735, 6863, 32237, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 54973, 529, 15687, 236772, 5140, 562, 10933, 143877, 133020, 9691, 5464, 4735, 15858, 573, 2148, 236772, 37223, 6638, 8351, 32010, 10498, 623, 2451, 1083, 623, 2574, 1411, 12959, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 132966, 236772, 236746, 10933, 236772, 131016, 847, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 2686, 25282, 573, 5213, 2825, 2987, 11138, 14508, 568, 236824, 17372, 62902, 236764, 6655, 19317, 1131, 3956, 15067, 600, 1149, 7495, 25898, 16182, 21574, 565, 8461, 495, 661, 568, 1505, 1404, 24694, 236768, 532, 26694, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 16906, 117678, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 185131, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 27999, 6809, 236829, 568, 30211, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 16906, 2536, 795, 577, 6811, 580, 5505, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 6641, 684, 496, 211371, 236761, 138, 107, 1018, 1514, 13592, 66515, 7423, 4867, 13761, 20756, 506, 8020, 529, 29624, 528, 38318, 496, 2544, 236858, 236751, 2404, 236761, 5978, 1700, 1404, 24694, 4038, 236858, 236745, 43880, 1288, 4889, 236764, 184100, 11138, 236858, 236751, 53591, 7283, 7093, 496, 30998, 573, 73987, 5210, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 15735, 215009, 32237, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 190304, 15735, 30409, 215009, 10452, 607, 12498, 236772, 106731, 25772, 236829, 568, 30211, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 1799, 6538, 115901, 236764, 142006, 236764, 532, 13415, 60765, 616, 607, 8300, 236772, 38321, 14049, 236764, 2778, 18088, 236764, 532, 15028, 12434, 236761, 138, 107, 1018, 1514, 13592, 66515, 669, 3956, 563, 132187, 5213, 12553, 532, 37247, 12434, 125546, 22169, 13965, 1133, 565, 8461, 495, 661, 1149, 992, 577, 23324, 528, 3361, 10952, 568, 236744, 236761, 236759, 1126, 506, 15233, 236772, 236832, 236771, 236771, 236771, 236858, 236751, 6538, 4065, 769, 108, 7243, 108, 10354, 5213, 236800, 236761, 72143, 36485, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 27708, 19558, 72143, 8921, 48602, 528, 236743, 236778, 236771, 236778, 236810, 86101, 12579, 236829, 568, 30211, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 24127, 6379, 236743, 236812, 236771, 236908, 160320, 9095, 532, 236743, 236819, 236771, 236908, 55577, 81336, 528, 4695, 5711, 236764, 34957, 236743, 236778, 236771, 236800, 236771, 14989, 236761, 138, 107, 1018, 1514, 13592, 66515, 72143, 563, 496, 6749, 7003, 236761, 25966, 7428, 1133, 1700, 1404, 1149, 3392, 4204, 531, 8846, 3361, 10154, 531, 2874, 17286, 532, 11713, 16332, 236761, 108, 7243, 108, 10354, 5213, 236812, 236761, 100756, 9904, 81909, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 13642, 2964, 45012, 607, 100756, 9904, 105432, 236829, 568, 27403, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 236743, 236832, 236810, 236908, 529, 6693, 6485, 795, 1845, 580, 127162, 684, 236743, 236778, 236771, 236778, 236810, 236761, 138, 107, 1018, 1514, 13592, 66515, 100756, 2778, 22109, 563, 10425, 496, 14971, 13546, 236764, 4547, 53561, 6429, 21896, 532, 17934, 5384, 3418, 506, 3956, 236761, 108, 7243, 108, 10354, 5213, 236810, 236761, 12498, 236772, 154902, 32237, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 144675, 3741, 12498, 82612, 531, 62072, 606, 15735, 6863, 32237, 236829, 568, 27403, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 4811, 14238, 15687, 236772, 5140, 562, 10933, 143877, 573, 5464, 4735, 15858, 236761, 138, 107, 1018, 1514, 13592, 66515, 12498, 12434, 563, 496, 3877, 2433, 236761, 565, 8461, 495, 661, 236858, 236751, 15233, 236772, 236832, 236771, 236771, 236771, 15735, 4504, 25406, 100146, 607, 672, 7003, 236764, 17674, 13128, 40101, 528, 14896, 236772, 13883, 32010, 236761, 108, 7243, 108, 10354, 5213, 3503, 12774, 50914, 573, 5180, 40954, 1018, 138, 107, 236770, 236761, 5213, 73939, 48993, 66515, 15735, 4065, 236764, 24488, 236764, 532, 12498, 659, 9204, 13862, 236761, 565, 8461, 495, 661, 236858, 236751, 15233, 236772, 236832, 236771, 236771, 236771, 100146, 607, 1239, 15067, 236764, 22169, 1700, 1404, 563, 4547, 25676, 528, 3361, 11298, 236761, 138, 107, 236778, 236761, 5213, 181673, 50647, 66515, 184100, 11138, 236858, 236751, 1237, 12489, 8357, 506, 8020, 529, 5213, 5843, 236772, 6061, 630, 236880, 236796, 532, 86101, 41716, 125546, 837, 659, 6749, 573, 23226, 2436, 55233, 236761, 138, 107, 236800, 236761, 5213, 182690, 9725, 2109, 1958, 1303, 66515, 5978, 1700, 1404, 236858, 236751, 163555, 659, 2147, 236764, 506, 3956, 236858, 236751, 3213, 580, 13862, 532, 24488, 13074, 600, 13965, 1133, 565, 8461, 495, 661, 1921, 7535, 531, 4196, 13128, 236761, 138, 108, 2859, 611, 236858, 500, 10099, 1003, 24227, 236786, 9442, 236764, 1966, 236787, 138, 107, 236772, 9352, 522, 565, 8461, 495, 661, 236858, 236751, 24227, 3755, 5467, 236761, 138, 107, 236772, 81573, 4168, 236772, 7362, 21016, 7248, 653, 5602, 2509, 24074, 236761, 138, 107, 236772, 1276, 12057, 855, 531, 1700, 1404, 573, 9813, 1698, 1894, 10034, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 1027, 529, 1239, 6555, 236888, 236743, 247815, 238178, 249772, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1676, 5602, 10595, 573, 506, 565, 8461, 495, 661, 15233, 236772, 236832, 236771, 236771, 236771, 15735, 4504, 25406, 236761, 3199, 611, 12270, 506, 6524, 10595, 699, 51064, 236789, 236751, 1262, 2509, 236881, 1174, 795, 1601, 786, 10741, 768, 625, 236789, 236751, 506, 1447, 6828, 573, 1041, 19549, 9180, 236789, 236751, 24264, 6410, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236812, 236770, 236832, 236812, 236832, 236819, 236778, 236832, 236800, 827, 623, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236772, 236832, 236828, 236819, 236770, 236771, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 8802, 236772, 52823, 573, 1023, 9180, 41218, 623, 1005, 1083, 623, 818, 565, 8461, 495, 661, 15233, 236772, 236832, 236771, 236771, 236771, 815, 22094, 1023, 24264, 1657, 236761, 35267, 2256, 563, 18997, 236764, 532, 506, 6538, 4065, 5383, 3885, 529, 12040, 11734, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236772, 236832, 236828, 236819, 236770, 236770, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 60881, 2016, 3325, 827, 623, 1005, 1083, 623, 894, 42021, 5431, 532, 3735, 531, 3980, 236761, 669, 1186, 62336, 563, 506, 4068, 10884, 3721, 4890, 1082, 4275, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236832, 236764, 623, 41028, 236779, 2003, 1083, 623, 1951, 598, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 10595, 573, 506, 5213, 236780, 8461, 495, 661, 15233, 236772, 236832, 236771, 236771, 236771, 15735, 4504, 25406, 1018, 699, 51064, 236789, 236751, 1262, 2509, 236787, 108, 10354, 9533, 70731, 236787, 107, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236810, 236786, 236810, 568, 5140, 580, 236743, 236770, 236778, 236832, 2558, 10595, 236768, 107, 236772, 5213, 8534, 51474, 66515, 107, 138, 236772, 5213, 236810, 236786, 236810, 66515, 623, 8802, 236772, 52823, 573, 1023, 9180, 9332, 138, 107, 140, 236829, 124319, 1117, 4022, 2256, 532, 6538, 4065, 5383, 3885, 529, 12040, 981, 9603, 107, 138, 236772, 5213, 236812, 236786, 236810, 66515, 623, 60881, 2016, 3325, 236775, 138, 107, 140, 236829, 894, 42021, 5431, 532, 3735, 531, 3980, 236764, 3635, 4068, 10884, 691, 990, 236772, 59711, 9603, 108, 10354, 25252, 236787, 107, 818, 15233, 236772, 236832, 236771, 236771, 236771, 21500, 3188, 30450, 573, 1061, 3736, 532, 39601, 236764, 3043, 625, 496, 13451, 5313, 573, 6635, 72223, 236761, 669, 6538, 4065, 532, 4022, 18510, 8913, 1388, 607, 506, 16332, 529, 496, 19549, 9180, 236789, 236751, 24264, 6410, 236761, 5978, 10884, 1149, 1660, 4481, 990, 82425, 236764, 506, 6782, 29945, 12205, 625, 236858, 236751, 496, 49649, 6828, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 19276, 19317, 236888, 236743, 249422, 240785, 106, 107, 105, 2364, 107, 818, 4414, 10595, 659, 24295, 236888, 4224, 564, 236858, 236753, 1133, 531, 2426, 506, 4867, 2404, 529, 565, 8461, 495, 661, 236858, 236751, 3724, 2544, 568, 1505, 1404, 24694, 236768, 531, 5330, 901, 236858, 859, 577, 2101, 573, 24227, 532, 1894, 236761, 3199, 611, 12270, 910, 17785, 1262, 1699, 506, 55947, 19666, 9299, 236881, 1174, 795, 1601, 786, 5608, 506, 1440, 236772, 6061, 55233, 529, 23324, 528, 910, 5842, 573, 1041, 9180, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 768, 1700, 1404, 24694, 568, 1437, 3724, 2544, 529, 565, 8461, 495, 661, 236768, 815, 25940, 38633, 2862, 531, 33205, 17785, 1262, 4323, 55947, 19666, 236761, 3153, 236764, 564, 1202, 531, 5433, 600, 5213, 1505, 1404, 24694, 563, 496, 47004, 4247, 2544, 125546, 837, 2820, 625, 4038, 236789, 236745, 2072, 17785, 25940, 653, 735, 496, 2862, 84390, 5404, 236761, 236743, 108, 10081, 506, 55947, 19666, 9299, 7087, 496, 2862, 84390, 5404, 531, 12270, 17785, 1262, 236764, 532, 1700, 1404, 24694, 563, 2147, 236764, 564, 3914, 33205, 910, 4867, 2404, 1343, 672, 3530, 5904, 236761, 236743, 108, 2542, 47004, 4247, 4699, 236764, 9302, 12668, 531, 5608, 4867, 11646, 3204, 236787, 107, 236772, 81573, 6327, 24074, 568, 236744, 236761, 236759, 1126, 23188, 833, 20014, 30419, 236768, 107, 236772, 9352, 522, 3956, 7248, 653, 4668, 1003, 3262, 33000, 236786, 73522, 107, 236772, 13948, 522, 506, 2544, 5467, 573, 4867, 111199, 108, 38786, 611, 1133, 14984, 580, 1027, 529, 1239, 24277, 236881, 106, 107, 105, 2364, 107, 10081, 1700, 1404, 24694, 563, 2147, 236764, 1531, 236789, 236751, 38179, 236761, 3199, 611, 2426, 2686, 25282, 573, 5213, 2825, 2987, 11138, 14508, 1018, 568, 64939, 236787, 16169, 236794, 779, 496, 3262, 43365, 528, 8351, 32010, 236881, 1174, 2473, 2583, 19352, 19317, 1131, 3956, 15067, 21574, 1700, 1404, 236761, 6890, 506, 2165, 14973, 236779, 828, 236779, 6473, 236779, 69753, 236929, 5904, 607, 84390, 16169, 236794, 531, 1460, 4803, 55470, 1003, 1698, 36253, 653, 4867, 3736, 236761, 1174, 1451, 1601, 5608, 506, 25898, 2436, 55233, 573, 13965, 1133, 565, 8461, 495, 661, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6473, 236779, 69753, 1083, 78493, 3250, 1083, 623, 2825, 2987, 11138, 14508, 185131, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 27999, 6809, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 2825, 2987, 11138, 14508, 795, 5588, 1855, 236772, 33255, 236743, 236778, 236771, 236778, 236810, 4867, 2536, 580, 5505, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 6641, 684, 496, 3892, 211371, 531, 3249, 3736, 532, 14971, 19898, 10498, 623, 2451, 1083, 623, 2574, 1411, 30642, 504, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 6473, 236772, 18381, 236786, 236778, 236771, 236778, 236810, 236786, 236809, 236778, 236772, 12103, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 190304, 15735, 30409, 215009, 10452, 607, 12498, 236772, 106731, 25772, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 4199, 6538, 115901, 236764, 142006, 236764, 532, 13415, 60765, 616, 18482, 8300, 236772, 38321, 14049, 16979, 236764, 2778, 18088, 236764, 532, 15028, 12434, 1492, 2487, 27768, 10498, 623, 2451, 1083, 623, 2574, 1411, 12959, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 32306, 236772, 93420, 236772, 29184, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 27708, 19558, 72143, 8921, 48602, 528, 236743, 236778, 236771, 236778, 236810, 86101, 12579, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 28534, 64972, 236743, 236812, 236771, 236908, 9095, 528, 34871, 4314, 17446, 532, 236743, 236819, 236771, 236908, 55577, 81336, 3418, 4695, 3668, 8848, 236764, 34957, 236743, 236778, 236771, 236800, 236771, 14989, 10498, 623, 2451, 1083, 623, 2574, 1411, 12959, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 507, 236759, 236772, 15443, 236772, 236778, 236771, 236778, 236810, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 13642, 2964, 45012, 607, 100756, 9904, 105432, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 6011, 1083, 623, 4199, 23047, 607, 10321, 532, 6573, 2778, 25684, 795, 2066, 236743, 236832, 236810, 236908, 529, 6693, 11675, 6485, 607, 127162, 684, 1345, 529, 236743, 236778, 236771, 236778, 236810, 10498, 623, 2451, 1083, 623, 2574, 1411, 30642, 504, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 197054, 236772, 23325, 236772, 232958, 23179, 3714, 3250, 1083, 623, 2825, 2987, 11138, 144675, 3741, 12498, 82612, 531, 62072, 606, 15735, 6863, 32237, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 6011, 1083, 623, 54973, 529, 15687, 236772, 5140, 562, 10933, 143877, 133020, 9691, 5464, 4735, 15858, 573, 2148, 236772, 37223, 6638, 8351, 32010, 10498, 623, 2451, 1083, 623, 2574, 1411, 12959, 236761, 1914, 2987, 11138, 90450, 236761, 854, 236786, 132966, 236772, 236746, 10933, 236772, 131016, 847, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 2686, 25282, 573, 5213, 2825, 2987, 11138, 14508, 568, 236824, 17372, 62902, 236764, 6655, 19317, 1131, 3956, 15067, 600, 1149, 7495, 25898, 16182, 21574, 565, 8461, 495, 661, 568, 1505, 1404, 24694, 236768, 532, 26694, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 16906, 117678, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 185131, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 27999, 6809, 236829, 568, 30211, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 16906, 2536, 795, 577, 6811, 580, 5505, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 6641, 684, 496, 211371, 236761, 138, 107, 1018, 1514, 13592, 66515, 7423, 4867, 13761, 20756, 506, 8020, 529, 29624, 528, 38318, 496, 2544, 236858, 236751, 2404, 236761, 5978, 1700, 1404, 24694, 4038, 236858, 236745, 43880, 1288, 4889, 236764, 184100, 11138, 236858, 236751, 53591, 7283, 7093, 496, 30998, 573, 73987, 5210, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 15735, 215009, 32237, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 190304, 15735, 30409, 215009, 10452, 607, 12498, 236772, 106731, 25772, 236829, 568, 30211, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 1799, 6538, 115901, 236764, 142006, 236764, 532, 13415, 60765, 616, 607, 8300, 236772, 38321, 14049, 236764, 2778, 18088, 236764, 532, 15028, 12434, 236761, 138, 107, 1018, 1514, 13592, 66515, 669, 3956, 563, 132187, 5213, 12553, 532, 37247, 12434, 125546, 22169, 13965, 1133, 565, 8461, 495, 661, 1149, 992, 577, 23324, 528, 3361, 10952, 568, 236744, 236761, 236759, 1126, 506, 15233, 236772, 236832, 236771, 236771, 236771, 236858, 236751, 6538, 4065, 769, 108, 7243, 108, 10354, 5213, 236800, 236761, 72143, 36485, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 27708, 19558, 72143, 8921, 48602, 528, 236743, 236778, 236771, 236778, 236810, 86101, 12579, 236829, 568, 30211, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 24127, 6379, 236743, 236812, 236771, 236908, 160320, 9095, 532, 236743, 236819, 236771, 236908, 55577, 81336, 528, 4695, 5711, 236764, 34957, 236743, 236778, 236771, 236800, 236771, 14989, 236761, 138, 107, 1018, 1514, 13592, 66515, 72143, 563, 496, 6749, 7003, 236761, 25966, 7428, 1133, 1700, 1404, 1149, 3392, 4204, 531, 8846, 3361, 10154, 531, 2874, 17286, 532, 11713, 16332, 236761, 108, 7243, 108, 10354, 5213, 236812, 236761, 100756, 9904, 81909, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 13642, 2964, 45012, 607, 100756, 9904, 105432, 236829, 568, 27403, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 236743, 236832, 236810, 236908, 529, 6693, 6485, 795, 1845, 580, 127162, 684, 236743, 236778, 236771, 236778, 236810, 236761, 138, 107, 1018, 1514, 13592, 66515, 100756, 2778, 22109, 563, 10425, 496, 14971, 13546, 236764, 4547, 53561, 6429, 21896, 532, 17934, 5384, 3418, 506, 3956, 236761, 108, 7243, 108, 10354, 5213, 236810, 236761, 12498, 236772, 154902, 32237, 1018, 138, 107, 1018, 7396, 66515, 808, 2825, 2987, 11138, 144675, 3741, 12498, 82612, 531, 62072, 606, 15735, 6863, 32237, 236829, 568, 27403, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 1018, 24355, 66515, 4811, 14238, 15687, 236772, 5140, 562, 10933, 143877, 573, 5464, 4735, 15858, 236761, 138, 107, 1018, 1514, 13592, 66515, 12498, 12434, 563, 496, 3877, 2433, 236761, 565, 8461, 495, 661, 236858, 236751, 15233, 236772, 236832, 236771, 236771, 236771, 15735, 4504, 25406, 100146, 607, 672, 7003, 236764, 17674, 13128, 40101, 528, 14896, 236772, 13883, 32010, 236761, 108, 7243, 108, 10354, 5213, 3503, 12774, 50914, 573, 5180, 40954, 1018, 138, 107, 236770, 236761, 5213, 73939, 48993, 66515, 15735, 4065, 236764, 24488, 236764, 532, 12498, 659, 9204, 13862, 236761, 565, 8461, 495, 661, 236858, 236751, 15233, 236772, 236832, 236771, 236771, 236771, 100146, 607, 1239, 15067, 236764, 22169, 1700, 1404, 563, 4547, 25676, 528, 3361, 11298, 236761, 138, 107, 236778, 236761, 5213, 181673, 50647, 66515, 184100, 11138, 236858, 236751, 1237, 12489, 8357, 506, 8020, 529, 5213, 5843, 236772, 6061, 630, 236880, 236796, 532, 86101, 41716, 125546, 837, 659, 6749, 573, 23226, 2436, 55233, 236761, 138, 107, 236800, 236761, 5213, 182690, 9725, 2109, 1958, 1303, 66515, 5978, 1700, 1404, 236858, 236751, 163555, 659, 2147, 236764, 506, 3956, 236858, 236751, 3213, 580, 13862, 532, 24488, 13074, 600, 13965, 1133, 565, 8461, 495, 661, 1921, 7535, 531, 4196, 13128, 236761, 138, 108, 2859, 611, 236858, 500, 10099, 1003, 24227, 236786, 9442, 236764, 1966, 236787, 138, 107, 236772, 9352, 522, 565, 8461, 495, 661, 236858, 236751, 24227, 3755, 5467, 236761, 138, 107, 236772, 81573, 4168, 236772, 7362, 21016, 7248, 653, 5602, 2509, 24074, 236761, 138, 107, 236772, 1276, 12057, 855, 531, 1700, 1404, 573, 9813, 1698, 1894, 10034, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 1027, 529, 1239, 6555, 236888, 236743, 247815, 238178, 249772, 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, 15491, 15771, 4456, 532, 1202, 531, 3204, 5192, 236772, 15396, 26093, 10396, 236761, 5315, 236764, 564, 1202, 506, 3658, 623, 4443, 236775, 528, 5422, 573, 496, 4309, 5346, 236764, 532, 1299, 506, 1638, 528, 88802, 8555, 573, 506, 8555, 3567, 529, 506, 3432, 236761, 3199, 611, 1601, 33205, 1800, 45375, 1699, 506, 3756, 5192, 5904, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32154, 1083, 623, 26915, 827, 623, 19859, 1083, 623, 501, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 32154, 1083, 6443, 236756, 236825, 236825, 236778, 236760, 236785, 236756, 236832, 236825, 236828, 236812, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 45375, 573, 623, 4443, 236775, 528, 1800, 15579, 236787, 108, 236772, 5213, 27832, 568, 501, 1473, 1018, 51327, 138, 107, 236772, 5213, 79572, 19272, 8555, 568, 22286, 1473, 1018, 32002, 236918, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4767, 5192, 14273, 653, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 15491, 15771, 4456, 532, 1202, 531, 3204, 5192, 236772, 15396, 26093, 10396, 236761, 5315, 236764, 564, 1202, 506, 3658, 623, 4443, 236775, 528, 5422, 573, 496, 4309, 5346, 236764, 532, 1299, 506, 1638, 528, 88802, 8555, 573, 506, 8555, 3567, 529, 506, 3432, 236761, 3199, 611, 1601, 33205, 1800, 45375, 1699, 506, 3756, 5192, 5904, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 32154, 1083, 623, 26915, 827, 623, 19859, 1083, 623, 501, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 32154, 1083, 6443, 236756, 236825, 236825, 236778, 236760, 236785, 236756, 236832, 236825, 236828, 236812, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 45375, 573, 623, 4443, 236775, 528, 1800, 15579, 236787, 108, 236772, 5213, 27832, 568, 501, 1473, 1018, 51327, 138, 107, 236772, 5213, 79572, 19272, 8555, 568, 22286, 1473, 1018, 32002, 236918, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4767, 5192, 14273, 653, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1041, 7972, 2203, 236761, 5315, 236764, 564, 1461, 531, 1281, 506, 36597, 532, 14711, 2782, 573, 5054, 22424, 236764, 34499, 43008, 236764, 531, 6054, 506, 1791, 990, 531, 3732, 236761, 4298, 236764, 564, 236858, 236753, 1133, 531, 2426, 1705, 236758, 945, 573, 1456, 49115, 6436, 237028, 145300, 236764, 496, 19860, 8103, 163606, 535, 532, 14538, 28764, 237028, 205446, 6527, 532, 31236, 6235, 6527, 768, 993, 236858, 236751, 496, 236743, 236770, 236810, 236908, 12223, 236761, 13472, 236764, 564, 1461, 531, 1586, 855, 837, 17381, 2260, 672, 1051, 21132, 580, 49115, 653, 3732, 2065, 834, 564, 740, 1138, 625, 531, 1041, 6013, 1694, 236761, 3792, 236858, 236751, 1502, 607, 506, 36597, 532, 14711, 2782, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 23243, 22424, 236764, 34499, 43008, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 99883, 1083, 623, 95956, 13029, 7578, 568, 20178, 16291, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 201320, 20012, 19871, 558, 809, 535, 753, 29164, 827, 623, 9707, 1083, 236743, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 19216, 1083, 623, 11947, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 827, 623, 2451, 1083, 623, 2574, 1411, 137676, 945, 236761, 854, 236786, 972, 236770, 236778, 236800, 236812, 236810, 23179, 3714, 3250, 1083, 623, 71476, 236772, 116195, 76247, 20012, 558, 809, 535, 753, 1799, 827, 623, 9707, 1083, 236743, 236770, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 19216, 1083, 623, 4199, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 827, 623, 2451, 1083, 623, 2574, 1411, 137676, 945, 236761, 854, 236786, 972, 236825, 236832, 236828, 236819, 236771, 25938, 1604, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 1083, 623, 134382, 166858, 128774, 568, 33593, 22730, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236770, 236770, 236761, 236771, 236812, 1263, 3714, 5930, 1083, 623, 71476, 236772, 116195, 43828, 128774, 827, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236810, 236761, 236810, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236770, 236800, 236761, 236770, 236828, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236828, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 818, 19871, 196331, 497, 236787, 12447, 59100, 228733, 14935, 44812, 827, 623, 10618, 1083, 623, 105411, 3999, 833, 224517, 827, 623, 4711, 236779, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 45312, 236772, 135932, 721, 497, 236761, 4034, 25938, 107, 14937, 1201, 1083, 623, 231047, 800, 157536, 236787, 562, 15308, 531, 59782, 532, 199940, 44812, 827, 623, 10618, 1083, 623, 56003, 7621, 833, 10668, 827, 623, 4711, 236779, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 9610, 508, 800, 236772, 236765, 25288, 236761, 4034, 25938, 107, 14937, 1201, 1083, 623, 17224, 807, 29677, 5827, 236787, 48233, 26762, 166858, 57939, 827, 623, 10618, 1083, 623, 66057, 22682, 827, 623, 4711, 236779, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10671, 236772, 88529, 236761, 4034, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 7972, 2203, 236787, 108, 1018, 171656, 833, 44464, 11922, 568, 23243, 22424, 236764, 9206, 1473, 1018, 107, 236772, 80126, 236787, 236743, 236810, 236787, 236812, 236810, 8151, 37472, 107, 236772, 44464, 236787, 236743, 236832, 236787, 236771, 236771, 8711, 37472, 138, 107, 16907, 116153, 29080, 4771, 236787, 33299, 531, 3649, 12399, 12016, 108, 1018, 105411, 3999, 25373, 580, 1705, 236758, 945, 53121, 107, 236770, 236761, 5213, 201320, 20012, 558, 809, 535, 1018, 138, 107, 139, 236772, 29164, 236787, 609, 236828, 236761, 236810, 236771, 568, 30498, 236768, 16130, 609, 236832, 236761, 236778, 236800, 568, 236770, 236810, 236908, 1135, 236768, 138, 107, 139, 236772, 1799, 236787, 609, 236770, 236771, 236761, 236771, 236771, 568, 30498, 236768, 16130, 609, 236828, 236761, 236810, 236771, 568, 236770, 236810, 236908, 1135, 236768, 138, 107, 139, 236840, 2039, 3835, 5457, 2574, 1411, 137676, 945, 236761, 854, 236786, 972, 236770, 236778, 236800, 236812, 236810, 236768, 108, 236778, 236761, 5213, 134382, 128774, 1018, 138, 107, 139, 236772, 29164, 236787, 609, 236770, 236770, 236761, 236771, 236812, 568, 81205, 53838, 699, 609, 236770, 236778, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 39591, 236772, 116195, 236787, 609, 236770, 236800, 236761, 236770, 236828, 568, 81205, 53838, 699, 609, 236770, 236810, 236761, 236810, 236771, 236768, 108, 1018, 121010, 524, 166858, 7167, 568, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 236772, 236743, 243536, 808, 818, 19871, 196331, 497, 236787, 12447, 59100, 228733, 14935, 44812, 236829, 138, 107, 138, 16907, 12962, 236787, 166858, 833, 224517, 12016, 138, 107, 138, 236840, 39476, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 45312, 236772, 135932, 721, 497, 236761, 4034, 236768, 108, 38786, 611, 1133, 531, 59638, 1027, 912, 529, 672, 3927, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 1041, 7972, 2203, 236761, 5315, 236764, 564, 1461, 531, 1281, 506, 36597, 532, 14711, 2782, 573, 5054, 22424, 236764, 34499, 43008, 236764, 531, 6054, 506, 1791, 990, 531, 3732, 236761, 4298, 236764, 564, 236858, 236753, 1133, 531, 2426, 1705, 236758, 945, 573, 1456, 49115, 6436, 237028, 145300, 236764, 496, 19860, 8103, 163606, 535, 532, 14538, 28764, 237028, 205446, 6527, 532, 31236, 6235, 6527, 768, 993, 236858, 236751, 496, 236743, 236770, 236810, 236908, 12223, 236761, 13472, 236764, 564, 1461, 531, 1586, 855, 837, 17381, 2260, 672, 1051, 21132, 580, 49115, 653, 3732, 2065, 834, 564, 740, 1138, 625, 531, 1041, 6013, 1694, 236761, 3792, 236858, 236751, 1502, 607, 506, 36597, 532, 14711, 2782, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 23243, 22424, 236764, 34499, 43008, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 99883, 1083, 623, 95956, 13029, 7578, 568, 20178, 16291, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 201320, 20012, 19871, 558, 809, 535, 753, 29164, 827, 623, 9707, 1083, 236743, 236828, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 19216, 1083, 623, 11947, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 827, 623, 2451, 1083, 623, 2574, 1411, 137676, 945, 236761, 854, 236786, 972, 236770, 236778, 236800, 236812, 236810, 23179, 3714, 3250, 1083, 623, 71476, 236772, 116195, 76247, 20012, 558, 809, 535, 753, 1799, 827, 623, 9707, 1083, 236743, 236770, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 19216, 1083, 623, 4199, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 827, 623, 2451, 1083, 623, 2574, 1411, 137676, 945, 236761, 854, 236786, 972, 236825, 236832, 236828, 236819, 236771, 25938, 1604, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236778, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 1083, 623, 134382, 166858, 128774, 568, 33593, 22730, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236770, 236770, 236761, 236771, 236812, 1263, 3714, 5930, 1083, 623, 71476, 236772, 116195, 43828, 128774, 827, 623, 17368, 236779, 9707, 1083, 236743, 236770, 236810, 236761, 236810, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236770, 236800, 236761, 236770, 236828, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236828, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 818, 19871, 196331, 497, 236787, 12447, 59100, 228733, 14935, 44812, 827, 623, 10618, 1083, 623, 105411, 3999, 833, 224517, 827, 623, 4711, 236779, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 45312, 236772, 135932, 721, 497, 236761, 4034, 25938, 107, 14937, 1201, 1083, 623, 231047, 800, 157536, 236787, 562, 15308, 531, 59782, 532, 199940, 44812, 827, 623, 10618, 1083, 623, 56003, 7621, 833, 10668, 827, 623, 4711, 236779, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 9610, 508, 800, 236772, 236765, 25288, 236761, 4034, 25938, 107, 14937, 1201, 1083, 623, 17224, 807, 29677, 5827, 236787, 48233, 26762, 166858, 57939, 827, 623, 10618, 1083, 623, 66057, 22682, 827, 623, 4711, 236779, 3304, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10671, 236772, 88529, 236761, 4034, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 7972, 2203, 236787, 108, 1018, 171656, 833, 44464, 11922, 568, 23243, 22424, 236764, 9206, 1473, 1018, 107, 236772, 80126, 236787, 236743, 236810, 236787, 236812, 236810, 8151, 37472, 107, 236772, 44464, 236787, 236743, 236832, 236787, 236771, 236771, 8711, 37472, 138, 107, 16907, 116153, 29080, 4771, 236787, 33299, 531, 3649, 12399, 12016, 108, 1018, 105411, 3999, 25373, 580, 1705, 236758, 945, 53121, 107, 236770, 236761, 5213, 201320, 20012, 558, 809, 535, 1018, 138, 107, 139, 236772, 29164, 236787, 609, 236828, 236761, 236810, 236771, 568, 30498, 236768, 16130, 609, 236832, 236761, 236778, 236800, 568, 236770, 236810, 236908, 1135, 236768, 138, 107, 139, 236772, 1799, 236787, 609, 236770, 236771, 236761, 236771, 236771, 568, 30498, 236768, 16130, 609, 236828, 236761, 236810, 236771, 568, 236770, 236810, 236908, 1135, 236768, 138, 107, 139, 236840, 2039, 3835, 5457, 2574, 1411, 137676, 945, 236761, 854, 236786, 972, 236770, 236778, 236800, 236812, 236810, 236768, 108, 236778, 236761, 5213, 134382, 128774, 1018, 138, 107, 139, 236772, 29164, 236787, 609, 236770, 236770, 236761, 236771, 236812, 568, 81205, 53838, 699, 609, 236770, 236778, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 39591, 236772, 116195, 236787, 609, 236770, 236800, 236761, 236770, 236828, 568, 81205, 53838, 699, 609, 236770, 236810, 236761, 236810, 236771, 236768, 108, 1018, 121010, 524, 166858, 7167, 568, 236778, 236771, 236778, 236800, 1473, 1018, 138, 107, 236772, 236743, 243536, 808, 818, 19871, 196331, 497, 236787, 12447, 59100, 228733, 14935, 44812, 236829, 138, 107, 138, 16907, 12962, 236787, 166858, 833, 224517, 12016, 138, 107, 138, 236840, 39476, 9466, 5457, 2574, 1411, 8358, 236761, 854, 236786, 45312, 236772, 135932, 721, 497, 236761, 4034, 236768, 108, 38786, 611, 1133, 531, 59638, 1027, 912, 529, 672, 3927, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 4087, 9055, 52408, 236789, 236751, 3736, 528, 506, 40777, 45796, 18006, 236761, 5315, 236764, 564, 1461, 531, 1281, 910, 1873, 2939, 528, 506, 90915, 236764, 532, 1299, 1586, 4889, 1003, 910, 2148, 14812, 4241, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30400, 30353, 1083, 78493, 1201, 1083, 623, 72782, 45796, 827, 623, 157775, 236779, 547, 1083, 623, 20074, 236770, 827, 623, 53337, 1083, 623, 78304, 827, 623, 21052, 1083, 3714, 13647, 1083, 623, 85226, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 827, 623, 44384, 236779, 5909, 1083, 623, 10602, 236775, 5237, 3714, 1201, 1083, 623, 181509, 30086, 9654, 827, 623, 157775, 236779, 547, 1083, 623, 5094, 236770, 827, 623, 53337, 1083, 623, 78304, 827, 623, 21052, 1083, 3714, 13647, 1083, 623, 26179, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 827, 623, 44384, 236779, 5909, 1083, 623, 10602, 236775, 5237, 3714, 1201, 1083, 623, 236780, 33579, 210378, 827, 623, 157775, 236779, 547, 1083, 623, 8266, 236770, 827, 623, 53337, 1083, 623, 78304, 827, 623, 21052, 1083, 3714, 13647, 1083, 623, 23425, 5711, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 44384, 236779, 5909, 1083, 623, 4218, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50001, 236779, 547, 1083, 623, 20074, 236770, 827, 623, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 11116, 1083, 236743, 236800, 236812, 236764, 623, 76339, 1083, 236743, 236770, 236771, 236764, 623, 6736, 236751, 1083, 236743, 236812, 236764, 623, 74718, 1083, 236743, 236778, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236778, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 13880, 159720, 827, 623, 11116, 1083, 236743, 236800, 236771, 236764, 623, 76339, 1083, 236743, 236819, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236770, 236810, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 1659, 18739, 139163, 827, 623, 11116, 1083, 236743, 236778, 236828, 236764, 623, 76339, 1083, 236743, 236828, 236764, 623, 6736, 236751, 1083, 236743, 236812, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236770, 236771, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 20074, 236778, 236771, 236778, 236810, 236771, 236800, 236778, 236771, 160334, 827, 623, 157775, 1083, 623, 72782, 45796, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 14968, 1083, 623, 3321, 218750, 139163, 23179, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 144376, 827, 623, 6109, 1083, 623, 11281, 70237, 161104, 3284, 827, 623, 89343, 1083, 623, 64237, 14669, 45796, 23179, 3714, 10480, 236779, 547, 1083, 623, 20074, 236778, 236771, 236778, 236810, 236771, 236800, 236778, 236770, 236774, 3769, 6459, 827, 623, 157775, 1083, 623, 72782, 45796, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 141746, 33224, 827, 623, 14968, 1083, 623, 181579, 130067, 23179, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236770, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 144376, 827, 623, 6109, 1083, 623, 11281, 70237, 44351, 507, 897, 622, 236785, 236756, 236771, 236771, 524, 6461, 827, 623, 89343, 1083, 623, 178536, 45796, 25938, 1604, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236832, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 127096, 106, 107, 105, 4368, 107, 51771, 52408, 563, 5633, 5830, 506, 40777, 45796, 90915, 607, 236743, 236800, 236812, 3298, 236764, 2963, 2810, 236743, 236770, 236771, 12853, 236764, 9710, 236743, 236812, 236764, 532, 5745, 1186, 236743, 236778, 236764, 607, 614, 15978, 5671, 4954, 529, 900, 236778, 236778, 236761, 108, 37107, 2148, 14812, 4241, 528, 40777, 45796, 563, 236787, 107, 1018, 51771, 52408, 7728, 236761, 167495, 139163, 1018, 107, 236772, 6809, 236787, 5261, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236778, 236770, 236787, 236771, 236771, 59528, 107, 236772, 98823, 236787, 205257, 161104, 3284, 107, 236772, 18365, 236787, 135270, 107, 236772, 68816, 236787, 17615, 14669, 45796, 108, 2094, 4241, 16071, 2351, 506, 22820, 236832, 1719, 4771, 568, 27393, 236743, 236770, 236800, 236772, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 7438, 684, 506, 1873, 10368, 1262, 236761, 21284, 611, 1133, 786, 531, 2426, 573, 1027, 12496, 12532, 531, 506, 4241, 3433, 653, 2847, 4767, 4889, 1003, 672, 26215, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 4087, 9055, 52408, 236789, 236751, 3736, 528, 506, 40777, 45796, 18006, 236761, 5315, 236764, 564, 1461, 531, 1281, 910, 1873, 2939, 528, 506, 90915, 236764, 532, 1299, 1586, 4889, 1003, 910, 2148, 14812, 4241, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30400, 30353, 1083, 78493, 1201, 1083, 623, 72782, 45796, 827, 623, 157775, 236779, 547, 1083, 623, 20074, 236770, 827, 623, 53337, 1083, 623, 78304, 827, 623, 21052, 1083, 3714, 13647, 1083, 623, 85226, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 827, 623, 44384, 236779, 5909, 1083, 623, 10602, 236775, 5237, 3714, 1201, 1083, 623, 181509, 30086, 9654, 827, 623, 157775, 236779, 547, 1083, 623, 5094, 236770, 827, 623, 53337, 1083, 623, 78304, 827, 623, 21052, 1083, 3714, 13647, 1083, 623, 26179, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 827, 623, 44384, 236779, 5909, 1083, 623, 10602, 236775, 5237, 3714, 1201, 1083, 623, 236780, 33579, 210378, 827, 623, 157775, 236779, 547, 1083, 623, 8266, 236770, 827, 623, 53337, 1083, 623, 78304, 827, 623, 21052, 1083, 3714, 13647, 1083, 623, 23425, 5711, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 44384, 236779, 5909, 1083, 623, 4218, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50001, 236779, 547, 1083, 623, 20074, 236770, 827, 623, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 11116, 1083, 236743, 236800, 236812, 236764, 623, 76339, 1083, 236743, 236770, 236771, 236764, 623, 6736, 236751, 1083, 236743, 236812, 236764, 623, 74718, 1083, 236743, 236778, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236778, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 13880, 159720, 827, 623, 11116, 1083, 236743, 236800, 236771, 236764, 623, 76339, 1083, 236743, 236819, 236764, 623, 6736, 236751, 1083, 236743, 236800, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236770, 236810, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 1659, 18739, 139163, 827, 623, 11116, 1083, 236743, 236778, 236828, 236764, 623, 76339, 1083, 236743, 236828, 236764, 623, 6736, 236751, 1083, 236743, 236812, 236764, 623, 74718, 1083, 236743, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236770, 236771, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 20074, 236778, 236771, 236778, 236810, 236771, 236800, 236778, 236771, 160334, 827, 623, 157775, 1083, 623, 72782, 45796, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 14968, 1083, 623, 3321, 218750, 139163, 23179, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 144376, 827, 623, 6109, 1083, 623, 11281, 70237, 161104, 3284, 827, 623, 89343, 1083, 623, 64237, 14669, 45796, 23179, 3714, 10480, 236779, 547, 1083, 623, 20074, 236778, 236771, 236778, 236810, 236771, 236800, 236778, 236770, 236774, 3769, 6459, 827, 623, 157775, 1083, 623, 72782, 45796, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 141746, 33224, 827, 623, 14968, 1083, 623, 181579, 130067, 23179, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236770, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 144376, 827, 623, 6109, 1083, 623, 11281, 70237, 44351, 507, 897, 622, 236785, 236756, 236771, 236771, 524, 6461, 827, 623, 89343, 1083, 623, 178536, 45796, 25938, 1604, 623, 1896, 236779, 8572, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236832, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 127096, 106, 107, 105, 4368, 107, 51771, 52408, 563, 5633, 5830, 506, 40777, 45796, 90915, 607, 236743, 236800, 236812, 3298, 236764, 2963, 2810, 236743, 236770, 236771, 12853, 236764, 9710, 236743, 236812, 236764, 532, 5745, 1186, 236743, 236778, 236764, 607, 614, 15978, 5671, 4954, 529, 900, 236778, 236778, 236761, 108, 37107, 2148, 14812, 4241, 528, 40777, 45796, 563, 236787, 107, 1018, 51771, 52408, 7728, 236761, 167495, 139163, 1018, 107, 236772, 6809, 236787, 5261, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236778, 236770, 236787, 236771, 236771, 59528, 107, 236772, 98823, 236787, 205257, 161104, 3284, 107, 236772, 18365, 236787, 135270, 107, 236772, 68816, 236787, 17615, 14669, 45796, 108, 2094, 4241, 16071, 2351, 506, 22820, 236832, 1719, 4771, 568, 27393, 236743, 236770, 236800, 236772, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 7438, 684, 506, 1873, 10368, 1262, 236761, 21284, 611, 1133, 786, 531, 2426, 573, 1027, 12496, 12532, 531, 506, 4241, 3433, 653, 2847, 4767, 4889, 1003, 672, 26215, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 2263, 11858, 28067, 528, 29005, 573, 1041, 149590, 5975, 236761, 28344, 611, 5091, 1161, 506, 974, 236779, 1347, 236758, 236779, 13140, 5904, 531, 3927, 895, 83920, 573, 623, 137453, 23639, 149590, 5405, 11858, 28067, 236775, 532, 7020, 506, 2536, 236881, 564, 236789, 236753, 2765, 531, 1586, 861, 4402, 531, 41049, 607, 573, 1023, 2523, 5028, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 8071, 236779, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 4818, 1083, 623, 17138, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236778, 236778, 236953, 827, 623, 51183, 236779, 95605, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236810, 236787, 236778, 236778, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 27702, 506, 3927, 573, 29005, 236764, 23639, 149590, 5405, 1699, 895, 83920, 236789, 236751, 15788, 236791, 11734, 5904, 236761, 669, 4209, 5853, 563, 5213, 8071, 236779, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 532, 2536, 795, 577, 5508, 528, 8296, 236743, 236810, 236772, 236812, 236771, 9093, 568, 51183, 15323, 236787, 2578, 236770, 236812, 236787, 236800, 236810, 59528, 769, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 7179, 506, 4209, 4981, 1570, 528, 236743, 236810, 4310, 236881, 107, 236778, 236761, 19148, 506, 2536, 5467, 1056, 901, 3291, 2487, 236881, 107, 236800, 236761, 10867, 688, 506, 3927, 6137, 768, 951, 7798, 4402, 659, 1765, 236881, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 236743, 247411, 238178, 241862, 238178, 106, 107, 105, 2364, 107, 9366, 4024, 506, 2536, 5467, 1056, 901, 3291, 2487, 236761, 564, 236789, 859, 577, 17373, 573, 1023, 2148, 5975, 5395, 672, 12399, 532, 1093, 2765, 531, 3540, 506, 1938, 618, 4949, 618, 2653, 236761, 1637, 993, 659, 1027, 2263, 28067, 9456, 236764, 1451, 611, 992, 2426, 768, 910, 17909, 735, 2460, 87133, 692, 1451, 2802, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 8071, 236779, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 4818, 1083, 623, 236751, 137108, 827, 623, 3709, 1083, 78493, 150062, 236779, 1201, 1083, 623, 17224, 11849, 18592, 9055, 827, 623, 7125, 1083, 623, 13743, 3593, 827, 623, 31935, 1083, 623, 2574, 1411, 10671, 1111, 586, 38057, 236761, 2187, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 150062, 236779, 1201, 1083, 623, 50613, 7171, 34641, 8817, 827, 623, 7125, 1083, 623, 194618, 754, 827, 623, 31935, 1083, 623, 2574, 1411, 7195, 7171, 150062, 236761, 854, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236770, 236828, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 11858, 7299, 2536, 1765, 573, 822, 149590, 2958, 528, 29005, 236764, 23639, 236787, 108, 1018, 236770, 236761, 7086, 11849, 18592, 9055, 1018, 138, 107, 236772, 21617, 236787, 53510, 138, 107, 236772, 21124, 236787, 870, 10671, 1111, 586, 38057, 236761, 2187, 5457, 2574, 1411, 10671, 1111, 586, 38057, 236761, 2187, 236768, 138, 107, 236772, 11662, 42841, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 1018, 236778, 236761, 7940, 7171, 34641, 8817, 1018, 138, 107, 236772, 21617, 236787, 70511, 138, 107, 236772, 21124, 236787, 870, 7195, 7171, 150062, 236761, 854, 5457, 2574, 1411, 7195, 7171, 150062, 236761, 854, 236768, 138, 107, 236772, 11662, 42841, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 246533, 5213, 10282, 66515, 5978, 1239, 28067, 964, 1765, 1343, 822, 7609, 236764, 901, 3196, 531, 577, 5628, 528, 9979, 3541, 29005, 4319, 1082, 2351, 29005, 4850, 236761, 669, 17909, 1149, 3014, 2460, 87133, 653, 3662, 1938, 573, 13859, 7760, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 10867, 688, 506, 3927, 10916, 573, 5213, 137453, 236764, 23639, 1018, 11024, 236881, 138, 107, 236778, 236761, 26922, 1239, 17909, 531, 2426, 573, 2460, 87133, 236881, 138, 107, 236800, 236761, 50514, 496, 12323, 529, 506, 4456, 13269, 573, 1239, 4402, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 1680, 822, 5975, 5395, 236888, 236743, 249460, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 59638, 506, 3927, 10916, 573, 29005, 236764, 23639, 11024, 1699, 506, 974, 236779, 1347, 236758, 236779, 13140, 5904, 1570, 236761, 7323, 6253, 506, 7609, 531, 756, 137453, 23639, 11858, 28067, 149590, 4402, 236789, 532, 7020, 895, 83920, 2536, 236761, 564, 236789, 859, 2514, 35329, 1023, 1873, 5417, 1651, 611, 981, 580, 600, 753, 1164, 5039, 786, 506, 861, 4209, 5853, 834, 564, 740, 2426, 1063, 528, 496, 2321, 4310, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 8557, 236791, 236779, 236874, 6223, 2201, 236779, 236832, 236828, 236819, 236770, 236771, 827, 623, 4818, 1083, 623, 8071, 236779, 17138, 827, 623, 19645, 1083, 623, 236762, 83920, 236761, 854, 827, 623, 3278, 1083, 623, 137453, 23639, 11858, 28067, 149590, 4402, 827, 623, 51183, 236779, 95605, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 4199, 4209, 4464, 236888, 236743, 247211, 138, 107, 1018, 6804, 5853, 53121, 2165, 8557, 236791, 236779, 236874, 6223, 2201, 236779, 236832, 236828, 236819, 236770, 236771, 236929, 138, 107, 1018, 122598, 94986, 53121, 2578, 236770, 236812, 236787, 236778, 236778, 59528, 568, 236810, 236772, 236812, 236771, 9093, 699, 1492, 236768, 138, 108, 236777, 236789, 859, 7020, 506, 2536, 573, 822, 33093, 3927, 236787, 138, 107, 246533, 165996, 137453, 23639, 11858, 28067, 149590, 4402, 147698, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 116909, 29596, 611, 1056, 2536, 659, 5508, 236881, 138, 107, 236778, 236761, 44906, 1239, 2536, 607, 506, 3527, 3927, 66764, 236881, 138, 107, 236800, 236761, 30235, 580, 3530, 1159, 51996, 568, 236744, 236761, 236759, 1126, 13979, 5289, 8735, 236764, 62476, 54949, 236768, 768, 28067, 659, 1765, 236881, 138, 108, 11069, 1873, 5417, 4825, 822, 3540, 236888, 236743, 244878, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 2263, 11858, 28067, 528, 29005, 573, 1041, 149590, 5975, 236761, 28344, 611, 5091, 1161, 506, 974, 236779, 1347, 236758, 236779, 13140, 5904, 531, 3927, 895, 83920, 573, 623, 137453, 23639, 149590, 5405, 11858, 28067, 236775, 532, 7020, 506, 2536, 236881, 564, 236789, 236753, 2765, 531, 1586, 861, 4402, 531, 41049, 607, 573, 1023, 2523, 5028, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 8071, 236779, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 4818, 1083, 623, 17138, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236778, 236778, 236953, 827, 623, 51183, 236779, 95605, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236810, 236787, 236778, 236778, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 27702, 506, 3927, 573, 29005, 236764, 23639, 149590, 5405, 1699, 895, 83920, 236789, 236751, 15788, 236791, 11734, 5904, 236761, 669, 4209, 5853, 563, 5213, 8071, 236779, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 1018, 532, 2536, 795, 577, 5508, 528, 8296, 236743, 236810, 236772, 236812, 236771, 9093, 568, 51183, 15323, 236787, 2578, 236770, 236812, 236787, 236800, 236810, 59528, 769, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 7179, 506, 4209, 4981, 1570, 528, 236743, 236810, 4310, 236881, 107, 236778, 236761, 19148, 506, 2536, 5467, 1056, 901, 3291, 2487, 236881, 107, 236800, 236761, 10867, 688, 506, 3927, 6137, 768, 951, 7798, 4402, 659, 1765, 236881, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 236743, 247411, 238178, 241862, 238178, 106, 107, 105, 2364, 107, 9366, 4024, 506, 2536, 5467, 1056, 901, 3291, 2487, 236761, 564, 236789, 859, 577, 17373, 573, 1023, 2148, 5975, 5395, 672, 12399, 532, 1093, 2765, 531, 3540, 506, 1938, 618, 4949, 618, 2653, 236761, 1637, 993, 659, 1027, 2263, 28067, 9456, 236764, 1451, 611, 992, 2426, 768, 910, 17909, 735, 2460, 87133, 692, 1451, 2802, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 8071, 236779, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 4818, 1083, 623, 236751, 137108, 827, 623, 3709, 1083, 78493, 150062, 236779, 1201, 1083, 623, 17224, 11849, 18592, 9055, 827, 623, 7125, 1083, 623, 13743, 3593, 827, 623, 31935, 1083, 623, 2574, 1411, 10671, 1111, 586, 38057, 236761, 2187, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 150062, 236779, 1201, 1083, 623, 50613, 7171, 34641, 8817, 827, 623, 7125, 1083, 623, 194618, 754, 827, 623, 31935, 1083, 623, 2574, 1411, 7195, 7171, 150062, 236761, 854, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236770, 236828, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 11858, 7299, 2536, 1765, 573, 822, 149590, 2958, 528, 29005, 236764, 23639, 236787, 108, 1018, 236770, 236761, 7086, 11849, 18592, 9055, 1018, 138, 107, 236772, 21617, 236787, 53510, 138, 107, 236772, 21124, 236787, 870, 10671, 1111, 586, 38057, 236761, 2187, 5457, 2574, 1411, 10671, 1111, 586, 38057, 236761, 2187, 236768, 138, 107, 236772, 11662, 42841, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 1018, 236778, 236761, 7940, 7171, 34641, 8817, 1018, 138, 107, 236772, 21617, 236787, 70511, 138, 107, 236772, 21124, 236787, 870, 7195, 7171, 150062, 236761, 854, 5457, 2574, 1411, 7195, 7171, 150062, 236761, 854, 236768, 138, 107, 236772, 11662, 42841, 236787, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 246533, 5213, 10282, 66515, 5978, 1239, 28067, 964, 1765, 1343, 822, 7609, 236764, 901, 3196, 531, 577, 5628, 528, 9979, 3541, 29005, 4319, 1082, 2351, 29005, 4850, 236761, 669, 17909, 1149, 3014, 2460, 87133, 653, 3662, 1938, 573, 13859, 7760, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 10867, 688, 506, 3927, 10916, 573, 5213, 137453, 236764, 23639, 1018, 11024, 236881, 138, 107, 236778, 236761, 26922, 1239, 17909, 531, 2426, 573, 2460, 87133, 236881, 138, 107, 236800, 236761, 50514, 496, 12323, 529, 506, 4456, 13269, 573, 1239, 4402, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 1680, 822, 5975, 5395, 236888, 236743, 249460, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 59638, 506, 3927, 10916, 573, 29005, 236764, 23639, 11024, 1699, 506, 974, 236779, 1347, 236758, 236779, 13140, 5904, 1570, 236761, 7323, 6253, 506, 7609, 531, 756, 137453, 23639, 11858, 28067, 149590, 4402, 236789, 532, 7020, 895, 83920, 2536, 236761, 564, 236789, 859, 2514, 35329, 1023, 1873, 5417, 1651, 611, 981, 580, 600, 753, 1164, 5039, 786, 506, 861, 4209, 5853, 834, 564, 740, 2426, 1063, 528, 496, 2321, 4310, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 8557, 236791, 236779, 236874, 6223, 2201, 236779, 236832, 236828, 236819, 236770, 236771, 827, 623, 4818, 1083, 623, 8071, 236779, 17138, 827, 623, 19645, 1083, 623, 236762, 83920, 236761, 854, 827, 623, 3278, 1083, 623, 137453, 23639, 11858, 28067, 149590, 4402, 827, 623, 51183, 236779, 95605, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 4199, 4209, 4464, 236888, 236743, 247211, 138, 107, 1018, 6804, 5853, 53121, 2165, 8557, 236791, 236779, 236874, 6223, 2201, 236779, 236832, 236828, 236819, 236770, 236771, 236929, 138, 107, 1018, 122598, 94986, 53121, 2578, 236770, 236812, 236787, 236778, 236778, 59528, 568, 236810, 236772, 236812, 236771, 9093, 699, 1492, 236768, 138, 108, 236777, 236789, 859, 7020, 506, 2536, 573, 822, 33093, 3927, 236787, 138, 107, 246533, 165996, 137453, 23639, 11858, 28067, 149590, 4402, 147698, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 116909, 29596, 611, 1056, 2536, 659, 5508, 236881, 138, 107, 236778, 236761, 44906, 1239, 2536, 607, 506, 3527, 3927, 66764, 236881, 138, 107, 236800, 236761, 30235, 580, 3530, 1159, 51996, 568, 236744, 236761, 236759, 1126, 13979, 5289, 8735, 236764, 62476, 54949, 236768, 768, 28067, 659, 1765, 236881, 138, 108, 11069, 1873, 5417, 4825, 822, 3540, 236888, 236743, 244878, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 88754, 236787, 623, 236777, 236789, 236757, 9795, 496, 4430, 544, 149141, 910, 4882, 2978, 532, 1202, 531, 1586, 1070, 5456, 15795, 9097, 236761, 28344, 611, 2426, 506, 18241, 573, 784, 4852, 528, 506, 756, 197756, 236789, 8038, 236881, 564, 236789, 236753, 1133, 531, 1460, 1144, 4532, 3835, 692, 735, 2487, 573, 496, 11048, 16922, 12399, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 84517, 525, 13806, 168858, 827, 623, 9707, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236819, 236764, 623, 3061, 1083, 623, 32899, 827, 623, 14973, 1083, 236743, 236770, 236810, 1263, 3714, 1201, 1083, 623, 106985, 31537, 6274, 827, 623, 9707, 1083, 236743, 236800, 236812, 236819, 236761, 236810, 236764, 623, 3061, 1083, 623, 146367, 827, 623, 14973, 1083, 236743, 236828, 1263, 3714, 1201, 1083, 623, 236773, 519, 1129, 6691, 24438, 827, 623, 9707, 1083, 236743, 236812, 236778, 236771, 236761, 236771, 236764, 623, 3061, 1083, 623, 32899, 827, 623, 14973, 1083, 236743, 236770, 236778, 1263, 3714, 1201, 1083, 623, 78915, 20980, 57596, 15610, 827, 623, 9707, 1083, 236743, 236778, 236770, 236819, 236761, 236819, 236810, 236764, 623, 3061, 1083, 623, 86611, 617, 827, 623, 14973, 1083, 236743, 236778, 236771, 1263, 3714, 1201, 1083, 623, 81343, 85614, 6274, 827, 623, 9707, 1083, 236743, 236770, 236778, 236771, 236771, 236761, 236771, 236764, 623, 3061, 1083, 623, 32899, 19380, 827, 623, 14973, 1083, 236743, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 15795, 4852, 2487, 528, 506, 18241, 1208, 506, 756, 197756, 236789, 8038, 236787, 108, 236770, 236761, 5213, 84517, 525, 13806, 168858, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236810, 138, 108, 236778, 236761, 5213, 106985, 31537, 6274, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236800, 236812, 236819, 236761, 236810, 236771, 138, 107, 139, 236772, 21072, 236787, 45625, 138, 107, 139, 236772, 13827, 236787, 236743, 236828, 138, 108, 236800, 236761, 5213, 236773, 519, 1129, 6691, 24438, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236778, 138, 108, 236812, 236761, 5213, 78915, 20980, 57596, 15610, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236770, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 21072, 236787, 60217, 617, 138, 107, 139, 236772, 13827, 236787, 236743, 236778, 236771, 138, 108, 236810, 236761, 5213, 81343, 85614, 6274, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236764, 236778, 236771, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 19380, 138, 107, 139, 236772, 13827, 236787, 236743, 236810, 138, 108, 818, 5213, 32899, 1018, 532, 5213, 32899, 19380, 1018, 14062, 8913, 12030, 607, 822, 2864, 573, 623, 30466, 3835, 1781, 21284, 611, 1133, 786, 531, 59638, 506, 1694, 3342, 653, 3213, 580, 3530, 3385, 21280, 653, 2862, 15830, 236881, 106, 107, 105, 2364, 107, 88754, 236787, 623, 14782, 611, 573, 91240, 1679, 506, 15795, 3835, 236761, 28344, 611, 1492, 5957, 1239, 2536, 531, 1407, 1186, 4852, 607, 756, 32899, 236789, 653, 756, 32899, 19380, 236789, 14062, 532, 31979, 1208, 609, 236770, 236764, 236771, 236771, 236771, 236881, 3551, 4430, 62197, 16627, 236764, 3980, 4463, 840, 815, 496, 21037, 7715, 236761, 6542, 236764, 2426, 768, 993, 659, 1027, 16590, 23690, 9097, 528, 506, 756, 9435, 36047, 236789, 8038, 600, 14125, 1239, 4532, 14062, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 547, 1083, 623, 14563, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 106985, 26745, 12090, 4585, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 3061, 1083, 623, 32899, 19380, 23179, 3714, 547, 1083, 623, 14563, 236772, 236771, 236771, 236832, 827, 623, 1201, 1083, 623, 104660, 6274, 43854, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236810, 236764, 623, 3061, 1083, 623, 32899, 23179, 3714, 547, 1083, 623, 14563, 236772, 236771, 236770, 236778, 827, 623, 1201, 1083, 623, 6907, 4027, 20012, 77860, 206612, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236778, 236770, 236819, 236761, 236771, 236764, 623, 3061, 1083, 623, 32899, 19380, 23179, 3714, 547, 1083, 623, 14563, 236772, 236771, 236770, 236819, 827, 623, 1201, 1083, 623, 86611, 617, 40126, 9620, 1826, 5833, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236770, 236832, 236819, 236761, 236819, 236810, 236764, 623, 3061, 1083, 623, 32899, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 33093, 2536, 573, 822, 4430, 236789, 236751, 7715, 532, 3117, 22195, 236787, 108, 1018, 32899, 72445, 568, 14713, 609, 236770, 236764, 236771, 236771, 236771, 1473, 1018, 107, 236770, 236761, 5213, 84517, 525, 13806, 168858, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236810, 138, 107, 139, 236772, 808, 94562, 1388, 607, 16085, 653, 51626, 5984, 236829, 138, 108, 236778, 236761, 5213, 236773, 519, 1129, 6691, 24438, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236778, 138, 107, 139, 236772, 808, 116153, 573, 39364, 607, 16627, 23690, 9097, 236829, 138, 108, 7243, 108, 1018, 32899, 236786, 32899, 19380, 6863, 36047, 53121, 107, 236770, 236761, 5213, 106985, 26745, 12090, 4585, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236812, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 21072, 236787, 13806, 19380, 138, 107, 139, 236772, 808, 1558, 18456, 506, 70401, 168858, 236789, 236751, 3980, 4463, 236829, 138, 108, 236778, 236761, 5213, 104660, 6274, 43854, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236810, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 808, 174054, 29110, 7595, 531, 6727, 607, 506, 6691, 24438, 236829, 138, 108, 236800, 236761, 5213, 6907, 4027, 20012, 77860, 206612, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236770, 236819, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 19380, 138, 107, 139, 236772, 808, 4675, 1652, 23690, 573, 7681, 11740, 653, 37424, 236829, 138, 108, 236812, 236761, 5213, 86611, 617, 40126, 9620, 1826, 5833, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236832, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 808, 54133, 573, 8009, 74759, 2180, 65903, 236829, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 2619, 496, 67722, 11048, 39364, 3530, 15795, 532, 5984, 4852, 236881, 1701, 2591, 236787, 107, 236772, 70401, 168858, 900, 51770, 12090, 4585, 900, 40126, 9620, 1826, 138, 107, 236772, 103658, 1129, 6691, 24438, 900, 56276, 43854, 900, 20012, 206612, 138, 108, 236777, 740, 992, 2426, 2862, 15830, 573, 506, 6863, 36047, 4852, 768, 4354, 236761, 106, 107, 105, 2364, 107, 88754, 236787, 623, 6481, 236789, 236751, 2619, 506, 67722, 11048, 39364, 506, 70401, 168858, 607, 506, 51770, 12090, 4585, 532, 40126, 9620, 1826, 236761, 1701, 506, 103658, 1129, 6691, 24438, 236764, 6727, 625, 607, 506, 56276, 43854, 532, 20012, 206612, 236761, 564, 236789, 859, 1202, 62325, 573, 1239, 23548, 684, 16922, 5597, 236761, 6542, 236764, 2426, 2862, 15830, 573, 784, 2390, 6863, 36047, 4852, 237028, 3307, 4430, 2473, 1461, 531, 1900, 1091, 6842, 768, 901, 1133, 506, 15523, 1781, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 30493, 506, 67722, 130194, 532, 2426, 2862, 15830, 573, 506, 6863, 36047, 4852, 236761, 3153, 236764, 564, 3914, 8729, 62325, 568, 1437, 6436, 2487, 1186, 2847, 83096, 1698, 1262, 769, 5715, 236789, 236751, 506, 90152, 15523, 236787, 108, 7243, 108, 1018, 15413, 774, 58108, 1013, 573, 62720, 53121, 108, 1018, 236770, 236761, 70401, 168858, 85547, 1018, 138, 107, 236772, 5213, 197756, 53121, 70401, 13806, 168858, 6131, 236828, 236819, 236819, 236761, 236819, 236819, 236768, 138, 107, 236772, 5213, 5475, 876, 53121, 138, 107, 138, 236772, 51770, 26745, 12090, 4585, 6131, 236770, 236812, 236819, 236761, 236819, 236819, 236768, 138, 107, 138, 236772, 60217, 617, 40126, 9620, 1826, 5833, 6131, 236770, 236832, 236819, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236770, 236764, 236778, 236778, 236819, 236761, 236819, 236800, 138, 107, 236772, 5213, 27320, 24118, 53121, 138, 107, 138, 236772, 168858, 236787, 236743, 236770, 236810, 528, 2862, 138, 107, 138, 236772, 9620, 1826, 236787, 13827, 4981, 47713, 568, 9731, 1186, 3831, 15795, 2862, 236768, 138, 108, 1018, 236778, 236761, 103658, 1129, 6691, 24438, 5833, 1018, 138, 107, 236772, 5213, 197756, 53121, 103658, 1129, 6691, 24438, 6131, 236812, 236778, 236771, 236761, 236771, 236771, 236768, 138, 107, 236772, 5213, 5475, 876, 53121, 138, 107, 138, 236772, 56276, 6274, 43854, 6131, 236828, 236819, 236761, 236810, 236771, 236768, 138, 107, 138, 236772, 5561, 4027, 20012, 206612, 6131, 236778, 236770, 236819, 236761, 236771, 236771, 236768, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236832, 236778, 236828, 236761, 236810, 236771, 138, 107, 236772, 5213, 27320, 24118, 53121, 138, 107, 138, 236772, 6691, 24438, 236787, 236743, 236770, 236778, 528, 2862, 138, 107, 138, 236772, 43854, 236786, 236847, 781, 236787, 13827, 4981, 47713, 138, 108, 7243, 108, 1018, 9435, 36047, 17088, 75669, 53121, 138, 107, 818, 1458, 1186, 19365, 2862, 17772, 573, 15795, 4852, 236761, 1701, 6863, 36047, 3211, 568, 14193, 1610, 236764, 15123, 236764, 37468, 236764, 108082, 779, 2862, 4535, 10050, 236789, 236745, 11325, 1343, 506, 1873, 6436, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 59336, 17709, 1816, 573, 506, 11048, 568, 236744, 236761, 236759, 1126, 623, 21550, 573, 13258, 8341, 1373, 138, 107, 236778, 236761, 53399, 2269, 872, 607, 506, 31882, 2434, 5467, 573, 2862, 26093, 138, 107, 236800, 236761, 118189, 672, 26919, 528, 506, 15523, 8687, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 88754, 236787, 623, 236777, 236789, 236757, 9795, 496, 4430, 544, 149141, 910, 4882, 2978, 532, 1202, 531, 1586, 1070, 5456, 15795, 9097, 236761, 28344, 611, 2426, 506, 18241, 573, 784, 4852, 528, 506, 756, 197756, 236789, 8038, 236881, 564, 236789, 236753, 1133, 531, 1460, 1144, 4532, 3835, 692, 735, 2487, 573, 496, 11048, 16922, 12399, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 84517, 525, 13806, 168858, 827, 623, 9707, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236819, 236764, 623, 3061, 1083, 623, 32899, 827, 623, 14973, 1083, 236743, 236770, 236810, 1263, 3714, 1201, 1083, 623, 106985, 31537, 6274, 827, 623, 9707, 1083, 236743, 236800, 236812, 236819, 236761, 236810, 236764, 623, 3061, 1083, 623, 146367, 827, 623, 14973, 1083, 236743, 236828, 1263, 3714, 1201, 1083, 623, 236773, 519, 1129, 6691, 24438, 827, 623, 9707, 1083, 236743, 236812, 236778, 236771, 236761, 236771, 236764, 623, 3061, 1083, 623, 32899, 827, 623, 14973, 1083, 236743, 236770, 236778, 1263, 3714, 1201, 1083, 623, 78915, 20980, 57596, 15610, 827, 623, 9707, 1083, 236743, 236778, 236770, 236819, 236761, 236819, 236810, 236764, 623, 3061, 1083, 623, 86611, 617, 827, 623, 14973, 1083, 236743, 236778, 236771, 1263, 3714, 1201, 1083, 623, 81343, 85614, 6274, 827, 623, 9707, 1083, 236743, 236770, 236778, 236771, 236771, 236761, 236771, 236764, 623, 3061, 1083, 623, 32899, 19380, 827, 623, 14973, 1083, 236743, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 15795, 4852, 2487, 528, 506, 18241, 1208, 506, 756, 197756, 236789, 8038, 236787, 108, 236770, 236761, 5213, 84517, 525, 13806, 168858, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236810, 138, 108, 236778, 236761, 5213, 106985, 31537, 6274, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236800, 236812, 236819, 236761, 236810, 236771, 138, 107, 139, 236772, 21072, 236787, 45625, 138, 107, 139, 236772, 13827, 236787, 236743, 236828, 138, 108, 236800, 236761, 5213, 236773, 519, 1129, 6691, 24438, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236778, 138, 108, 236812, 236761, 5213, 78915, 20980, 57596, 15610, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236770, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 21072, 236787, 60217, 617, 138, 107, 139, 236772, 13827, 236787, 236743, 236778, 236771, 138, 108, 236810, 236761, 5213, 81343, 85614, 6274, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236764, 236778, 236771, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 19380, 138, 107, 139, 236772, 13827, 236787, 236743, 236810, 138, 108, 818, 5213, 32899, 1018, 532, 5213, 32899, 19380, 1018, 14062, 8913, 12030, 607, 822, 2864, 573, 623, 30466, 3835, 1781, 21284, 611, 1133, 786, 531, 59638, 506, 1694, 3342, 653, 3213, 580, 3530, 3385, 21280, 653, 2862, 15830, 236881, 106, 107, 105, 2364, 107, 88754, 236787, 623, 14782, 611, 573, 91240, 1679, 506, 15795, 3835, 236761, 28344, 611, 1492, 5957, 1239, 2536, 531, 1407, 1186, 4852, 607, 756, 32899, 236789, 653, 756, 32899, 19380, 236789, 14062, 532, 31979, 1208, 609, 236770, 236764, 236771, 236771, 236771, 236881, 3551, 4430, 62197, 16627, 236764, 3980, 4463, 840, 815, 496, 21037, 7715, 236761, 6542, 236764, 2426, 768, 993, 659, 1027, 16590, 23690, 9097, 528, 506, 756, 9435, 36047, 236789, 8038, 600, 14125, 1239, 4532, 14062, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 547, 1083, 623, 14563, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 106985, 26745, 12090, 4585, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 3061, 1083, 623, 32899, 19380, 23179, 3714, 547, 1083, 623, 14563, 236772, 236771, 236771, 236832, 827, 623, 1201, 1083, 623, 104660, 6274, 43854, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236810, 236764, 623, 3061, 1083, 623, 32899, 23179, 3714, 547, 1083, 623, 14563, 236772, 236771, 236770, 236778, 827, 623, 1201, 1083, 623, 6907, 4027, 20012, 77860, 206612, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236778, 236770, 236819, 236761, 236771, 236764, 623, 3061, 1083, 623, 32899, 19380, 23179, 3714, 547, 1083, 623, 14563, 236772, 236771, 236770, 236819, 827, 623, 1201, 1083, 623, 86611, 617, 40126, 9620, 1826, 5833, 827, 623, 10618, 1083, 623, 9435, 36047, 827, 623, 9707, 1083, 236743, 236770, 236832, 236819, 236761, 236819, 236810, 236764, 623, 3061, 1083, 623, 32899, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 33093, 2536, 573, 822, 4430, 236789, 236751, 7715, 532, 3117, 22195, 236787, 108, 1018, 32899, 72445, 568, 14713, 609, 236770, 236764, 236771, 236771, 236771, 1473, 1018, 107, 236770, 236761, 5213, 84517, 525, 13806, 168858, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236810, 138, 107, 139, 236772, 808, 94562, 1388, 607, 16085, 653, 51626, 5984, 236829, 138, 108, 236778, 236761, 5213, 236773, 519, 1129, 6691, 24438, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 13827, 236787, 236743, 236770, 236778, 138, 107, 139, 236772, 808, 116153, 573, 39364, 607, 16627, 23690, 9097, 236829, 138, 108, 7243, 108, 1018, 32899, 236786, 32899, 19380, 6863, 36047, 53121, 107, 236770, 236761, 5213, 106985, 26745, 12090, 4585, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236812, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 21072, 236787, 13806, 19380, 138, 107, 139, 236772, 808, 1558, 18456, 506, 70401, 168858, 236789, 236751, 3980, 4463, 236829, 138, 108, 236778, 236761, 5213, 104660, 6274, 43854, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236810, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 808, 174054, 29110, 7595, 531, 6727, 607, 506, 6691, 24438, 236829, 138, 108, 236800, 236761, 5213, 6907, 4027, 20012, 77860, 206612, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236770, 236819, 236761, 236771, 236771, 138, 107, 139, 236772, 21072, 236787, 13806, 19380, 138, 107, 139, 236772, 808, 4675, 1652, 23690, 573, 7681, 11740, 653, 37424, 236829, 138, 108, 236812, 236761, 5213, 86611, 617, 40126, 9620, 1826, 5833, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236832, 236819, 236761, 236819, 236810, 138, 107, 139, 236772, 21072, 236787, 13806, 138, 107, 139, 236772, 808, 54133, 573, 8009, 74759, 2180, 65903, 236829, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 2619, 496, 67722, 11048, 39364, 3530, 15795, 532, 5984, 4852, 236881, 1701, 2591, 236787, 107, 236772, 70401, 168858, 900, 51770, 12090, 4585, 900, 40126, 9620, 1826, 138, 107, 236772, 103658, 1129, 6691, 24438, 900, 56276, 43854, 900, 20012, 206612, 138, 108, 236777, 740, 992, 2426, 2862, 15830, 573, 506, 6863, 36047, 4852, 768, 4354, 236761, 106, 107, 105, 2364, 107, 88754, 236787, 623, 6481, 236789, 236751, 2619, 506, 67722, 11048, 39364, 506, 70401, 168858, 607, 506, 51770, 12090, 4585, 532, 40126, 9620, 1826, 236761, 1701, 506, 103658, 1129, 6691, 24438, 236764, 6727, 625, 607, 506, 56276, 43854, 532, 20012, 206612, 236761, 564, 236789, 859, 1202, 62325, 573, 1239, 23548, 684, 16922, 5597, 236761, 6542, 236764, 2426, 2862, 15830, 573, 784, 2390, 6863, 36047, 4852, 237028, 3307, 4430, 2473, 1461, 531, 1900, 1091, 6842, 768, 901, 1133, 506, 15523, 1781, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 30493, 506, 67722, 130194, 532, 2426, 2862, 15830, 573, 506, 6863, 36047, 4852, 236761, 3153, 236764, 564, 3914, 8729, 62325, 568, 1437, 6436, 2487, 1186, 2847, 83096, 1698, 1262, 769, 5715, 236789, 236751, 506, 90152, 15523, 236787, 108, 7243, 108, 1018, 15413, 774, 58108, 1013, 573, 62720, 53121, 108, 1018, 236770, 236761, 70401, 168858, 85547, 1018, 138, 107, 236772, 5213, 197756, 53121, 70401, 13806, 168858, 6131, 236828, 236819, 236819, 236761, 236819, 236819, 236768, 138, 107, 236772, 5213, 5475, 876, 53121, 138, 107, 138, 236772, 51770, 26745, 12090, 4585, 6131, 236770, 236812, 236819, 236761, 236819, 236819, 236768, 138, 107, 138, 236772, 60217, 617, 40126, 9620, 1826, 5833, 6131, 236770, 236832, 236819, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236770, 236764, 236778, 236778, 236819, 236761, 236819, 236800, 138, 107, 236772, 5213, 27320, 24118, 53121, 138, 107, 138, 236772, 168858, 236787, 236743, 236770, 236810, 528, 2862, 138, 107, 138, 236772, 9620, 1826, 236787, 13827, 4981, 47713, 568, 9731, 1186, 3831, 15795, 2862, 236768, 138, 108, 1018, 236778, 236761, 103658, 1129, 6691, 24438, 5833, 1018, 138, 107, 236772, 5213, 197756, 53121, 103658, 1129, 6691, 24438, 6131, 236812, 236778, 236771, 236761, 236771, 236771, 236768, 138, 107, 236772, 5213, 5475, 876, 53121, 138, 107, 138, 236772, 56276, 6274, 43854, 6131, 236828, 236819, 236761, 236810, 236771, 236768, 138, 107, 138, 236772, 5561, 4027, 20012, 206612, 6131, 236778, 236770, 236819, 236761, 236771, 236771, 236768, 138, 107, 236772, 5213, 9640, 11117, 53121, 609, 236832, 236778, 236828, 236761, 236810, 236771, 138, 107, 236772, 5213, 27320, 24118, 53121, 138, 107, 138, 236772, 6691, 24438, 236787, 236743, 236770, 236778, 528, 2862, 138, 107, 138, 236772, 43854, 236786, 236847, 781, 236787, 13827, 4981, 47713, 138, 108, 7243, 108, 1018, 9435, 36047, 17088, 75669, 53121, 138, 107, 818, 1458, 1186, 19365, 2862, 17772, 573, 15795, 4852, 236761, 1701, 6863, 36047, 3211, 568, 14193, 1610, 236764, 15123, 236764, 37468, 236764, 108082, 779, 2862, 4535, 10050, 236789, 236745, 11325, 1343, 506, 1873, 6436, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 59336, 17709, 1816, 573, 506, 11048, 568, 236744, 236761, 236759, 1126, 623, 21550, 573, 13258, 8341, 1373, 138, 107, 236778, 236761, 53399, 2269, 872, 607, 506, 31882, 2434, 5467, 573, 2862, 26093, 138, 107, 236800, 236761, 118189, 672, 26919, 528, 506, 15523, 8687, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 66583, 573, 496, 81559, 18669, 532, 1202, 531, 9128, 506, 7606, 236761, 564, 735, 506, 184574, 12403, 7946, 127396, 573, 1041, 22479, 236764, 840, 564, 1537, 236789, 236745, 735, 625, 30569, 1662, 236761, 7323, 1171, 1161, 506, 2165, 59667, 236779, 13308, 236929, 5904, 531, 33205, 506, 7946, 1938, 236764, 837, 795, 3204, 506, 27197, 3433, 236761, 4298, 236764, 1699, 600, 4453, 3433, 236764, 12270, 506, 7606, 14415, 573, 66583, 4323, 506, 2165, 19323, 236779, 17749, 236929, 5904, 236761, 564, 236789, 859, 2847, 506, 7946, 127396, 618, 4949, 618, 611, 2864, 625, 236761, 106, 107, 105, 4368, 107, 2021, 7162, 607, 16329, 506, 7606, 573, 822, 7946, 531, 66583, 236764, 564, 236789, 859, 1202, 506, 5213, 6720, 1205, 12403, 7946, 127396, 1018, 699, 822, 22479, 236761, 28344, 611, 5091, 2847, 506, 4453, 7946, 127396, 568, 236744, 236761, 236759, 1126, 623, 12293, 236787, 236770, 236770, 236771, 236832, 236778, 236810, 236819, 236819, 236770, 236787, 236778, 236771, 236770, 236810, 236787, 236812, 236770, 236828, 236828, 1373, 834, 564, 740, 33205, 822, 27197, 3433, 532, 1299, 12270, 506, 7606, 14415, 236881, 106, 107, 105, 2364, 107, 12293, 236787, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236787, 236819, 236828, 236832, 236825, 236787, 236800, 236812, 236810, 236825, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 59667, 236779, 5294, 1083, 623, 12293, 236787, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236787, 236819, 236828, 236832, 236825, 236787, 236800, 236812, 236810, 236825, 827, 623, 113130, 236779, 13319, 1083, 623, 232375, 827, 623, 46353, 236779, 13319, 1083, 623, 53843, 2241, 827, 623, 113130, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 827, 623, 78230, 236779, 2084, 1083, 623, 107332, 54866, 827, 623, 148128, 236779, 154201, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 53843, 2241, 827, 623, 27495, 1083, 623, 236778, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 531, 236743, 236778, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 41907, 1083, 623, 7783, 586, 35898, 827, 623, 77269, 1083, 623, 236825, 236828, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 7251, 236786, 236754, 25938, 106, 107, 105, 4368, 107, 11069, 7946, 531, 66583, 563, 10778, 573, 5213, 12055, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 125546, 607, 27197, 699, 69623, 657, 236743, 236771, 236828, 236787, 236800, 236771, 8151, 532, 16257, 528, 66583, 657, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 236761, 138, 108, 1018, 26588, 14415, 573, 66583, 580, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 53121, 138, 107, 246340, 238178, 5213, 51994, 53121, 236743, 236778, 236778, 237366, 236780, 531, 236743, 236778, 236828, 237366, 236780, 138, 107, 245649, 238178, 5213, 70092, 53121, 216726, 35898, 138, 107, 246434, 5213, 117106, 53121, 236743, 236825, 236828, 236908, 138, 107, 246160, 238178, 5213, 42554, 23902, 53121, 236743, 236770, 236778, 7251, 236786, 236754, 138, 108, 54133, 7606, 573, 822, 81559, 18669, 236888, 28819, 822, 7946, 531, 66583, 236761, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 66583, 573, 496, 81559, 18669, 532, 1202, 531, 9128, 506, 7606, 236761, 564, 735, 506, 184574, 12403, 7946, 127396, 573, 1041, 22479, 236764, 840, 564, 1537, 236789, 236745, 735, 625, 30569, 1662, 236761, 7323, 1171, 1161, 506, 2165, 59667, 236779, 13308, 236929, 5904, 531, 33205, 506, 7946, 1938, 236764, 837, 795, 3204, 506, 27197, 3433, 236761, 4298, 236764, 1699, 600, 4453, 3433, 236764, 12270, 506, 7606, 14415, 573, 66583, 4323, 506, 2165, 19323, 236779, 17749, 236929, 5904, 236761, 564, 236789, 859, 2847, 506, 7946, 127396, 618, 4949, 618, 611, 2864, 625, 236761, 106, 107, 105, 4368, 107, 2021, 7162, 607, 16329, 506, 7606, 573, 822, 7946, 531, 66583, 236764, 564, 236789, 859, 1202, 506, 5213, 6720, 1205, 12403, 7946, 127396, 1018, 699, 822, 22479, 236761, 28344, 611, 5091, 2847, 506, 4453, 7946, 127396, 568, 236744, 236761, 236759, 1126, 623, 12293, 236787, 236770, 236770, 236771, 236832, 236778, 236810, 236819, 236819, 236770, 236787, 236778, 236771, 236770, 236810, 236787, 236812, 236770, 236828, 236828, 1373, 834, 564, 740, 33205, 822, 27197, 3433, 532, 1299, 12270, 506, 7606, 14415, 236881, 106, 107, 105, 2364, 107, 12293, 236787, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236787, 236819, 236828, 236832, 236825, 236787, 236800, 236812, 236810, 236825, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 59667, 236779, 5294, 1083, 623, 12293, 236787, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236787, 236819, 236828, 236832, 236825, 236787, 236800, 236812, 236810, 236825, 827, 623, 113130, 236779, 13319, 1083, 623, 232375, 827, 623, 46353, 236779, 13319, 1083, 623, 53843, 2241, 827, 623, 113130, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 46353, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 87877, 827, 623, 78230, 236779, 2084, 1083, 623, 107332, 54866, 827, 623, 148128, 236779, 154201, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 53843, 2241, 827, 623, 27495, 1083, 623, 236778, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 531, 236743, 236778, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 41907, 1083, 623, 7783, 586, 35898, 827, 623, 77269, 1083, 623, 236825, 236828, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 7251, 236786, 236754, 25938, 106, 107, 105, 4368, 107, 11069, 7946, 531, 66583, 563, 10778, 573, 5213, 12055, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 125546, 607, 27197, 699, 69623, 657, 236743, 236771, 236828, 236787, 236800, 236771, 8151, 532, 16257, 528, 66583, 657, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 236761, 138, 108, 1018, 26588, 14415, 573, 66583, 580, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 53121, 138, 107, 246340, 238178, 5213, 51994, 53121, 236743, 236778, 236778, 237366, 236780, 531, 236743, 236778, 236828, 237366, 236780, 138, 107, 245649, 238178, 5213, 70092, 53121, 216726, 35898, 138, 107, 246434, 5213, 117106, 53121, 236743, 236825, 236828, 236908, 138, 107, 246160, 238178, 5213, 42554, 23902, 53121, 236743, 236770, 236778, 7251, 236786, 236754, 138, 108, 54133, 7606, 573, 822, 81559, 18669, 236888, 28819, 822, 7946, 531, 66583, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 26749, 163190, 1590, 236761, 564, 1202, 1601, 607, 496, 2268, 2203, 236761, 669, 11860, 2523, 8150, 531, 3717, 496, 2033, 236764, 532, 564, 236789, 236757, 44162, 1091, 1343, 506, 1657, 236761, 5315, 236764, 901, 6950, 901, 735, 496, 609, 236778, 236771, 236764, 236771, 236771, 236771, 1679, 7548, 532, 659, 3182, 657, 496, 236743, 236800, 236771, 236772, 3704, 6530, 10670, 657, 236743, 236810, 236908, 2142, 236761, 2024, 1056, 564, 6956, 31236, 910, 13822, 7548, 6517, 236764, 2613, 3939, 6133, 237028, 75859, 9724, 496, 2307, 8052, 236761, 3199, 611, 110270, 606, 910, 21184, 7548, 236881, 7062, 236764, 4491, 236764, 564, 1751, 564, 18492, 531, 4928, 506, 2033, 236789, 236751, 2558, 1550, 236761, 1030, 236789, 236751, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 236761, 9920, 611, 974, 506, 13822, 7548, 236764, 1531, 786, 1281, 236761, 1637, 625, 236858, 236751, 1024, 609, 236770, 236764, 236778, 236771, 236771, 236764, 692, 236858, 859, 1202, 531, 11327, 496, 20532, 10670, 1941, 236764, 1133, 236743, 236770, 236810, 1518, 236764, 531, 1460, 768, 600, 19009, 910, 7715, 2480, 236761, 3792, 236858, 236751, 1386, 2889, 506, 4945, 1138, 872, 834, 901, 740, 10741, 1144, 236858, 236751, 1791, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236771, 236832, 236800, 236761, 236825, 236812, 236764, 623, 31798, 236779, 21878, 1083, 236743, 236819, 236825, 236825, 236761, 236778, 236828, 236764, 623, 6725, 236779, 21878, 236779, 23460, 1083, 236743, 236770, 236812, 236832, 236828, 236812, 236812, 236761, 236828, 236764, 623, 62327, 236779, 13304, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236764, 623, 2792, 236766, 236779, 28350, 1083, 236743, 236771, 236761, 236819, 236764, 623, 85038, 567, 1083, 623, 96579, 7548, 6131, 236770, 236764, 236771, 236832, 236800, 236761, 236825, 236812, 236768, 563, 3426, 609, 236770, 236764, 236778, 236771, 236771, 14272, 236761, 2301, 13258, 1202, 531, 1966, 20532, 10670, 1941, 1781, 236783, 106, 107, 105, 4368, 107, 818, 11860, 2523, 236789, 236751, 9255, 13822, 21184, 7548, 573, 496, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 2033, 607, 496, 609, 236778, 236771, 236764, 236771, 236771, 236771, 1679, 7548, 236764, 236743, 236810, 236908, 2142, 3136, 236764, 532, 236743, 236800, 236771, 236772, 3704, 1941, 563, 5213, 236795, 236770, 236764, 236771, 236832, 236800, 236761, 236825, 236812, 1018, 568, 31798, 900, 2142, 769, 236743, 108, 10354, 9533, 20303, 236787, 107, 236772, 5213, 51654, 2886, 66515, 609, 236770, 236828, 236771, 236764, 236771, 236771, 236771, 568, 9900, 609, 236778, 236771, 236764, 236771, 236771, 236771, 1679, 7548, 236768, 138, 107, 236772, 5213, 9640, 2142, 6382, 1024, 236743, 236800, 236771, 1518, 66515, 609, 236770, 236812, 236832, 236764, 236828, 236812, 236812, 236761, 236828, 236771, 138, 107, 236772, 5213, 51654, 236772, 1071, 236772, 3135, 568, 236798, 14182, 236768, 7232, 66515, 236743, 236819, 236771, 236908, 138, 108, 10354, 111506, 236787, 138, 107, 10081, 506, 13822, 7548, 563, 5213, 60096, 609, 236770, 236764, 236778, 236771, 236771, 125546, 506, 236743, 236800, 236771, 236772, 3704, 10670, 1941, 7412, 17075, 573, 910, 7715, 236761, 562, 20532, 236743, 236770, 236810, 236772, 3704, 1941, 1093, 1186, 577, 4127, 768, 910, 7548, 36774, 506, 609, 236770, 236764, 236778, 236771, 236771, 14272, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 30981, 568, 236744, 236761, 236759, 1126, 1607, 1679, 13192, 653, 3755, 236768, 573, 3342, 3671, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 26749, 163190, 1590, 236761, 564, 1202, 1601, 607, 496, 2268, 2203, 236761, 669, 11860, 2523, 8150, 531, 3717, 496, 2033, 236764, 532, 564, 236789, 236757, 44162, 1091, 1343, 506, 1657, 236761, 5315, 236764, 901, 6950, 901, 735, 496, 609, 236778, 236771, 236764, 236771, 236771, 236771, 1679, 7548, 532, 659, 3182, 657, 496, 236743, 236800, 236771, 236772, 3704, 6530, 10670, 657, 236743, 236810, 236908, 2142, 236761, 2024, 1056, 564, 6956, 31236, 910, 13822, 7548, 6517, 236764, 2613, 3939, 6133, 237028, 75859, 9724, 496, 2307, 8052, 236761, 3199, 611, 110270, 606, 910, 21184, 7548, 236881, 7062, 236764, 4491, 236764, 564, 1751, 564, 18492, 531, 4928, 506, 2033, 236789, 236751, 2558, 1550, 236761, 1030, 236789, 236751, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 236761, 9920, 611, 974, 506, 13822, 7548, 236764, 1531, 786, 1281, 236761, 1637, 625, 236858, 236751, 1024, 609, 236770, 236764, 236778, 236771, 236771, 236764, 692, 236858, 859, 1202, 531, 11327, 496, 20532, 10670, 1941, 236764, 1133, 236743, 236770, 236810, 1518, 236764, 531, 1460, 768, 600, 19009, 910, 7715, 2480, 236761, 3792, 236858, 236751, 1386, 2889, 506, 4945, 1138, 872, 834, 901, 740, 10741, 1144, 236858, 236751, 1791, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236770, 236771, 236832, 236800, 236761, 236825, 236812, 236764, 623, 31798, 236779, 21878, 1083, 236743, 236819, 236825, 236825, 236761, 236778, 236828, 236764, 623, 6725, 236779, 21878, 236779, 23460, 1083, 236743, 236770, 236812, 236832, 236828, 236812, 236812, 236761, 236828, 236764, 623, 62327, 236779, 13304, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236764, 623, 2792, 236766, 236779, 28350, 1083, 236743, 236771, 236761, 236819, 236764, 623, 85038, 567, 1083, 623, 96579, 7548, 6131, 236770, 236764, 236771, 236832, 236800, 236761, 236825, 236812, 236768, 563, 3426, 609, 236770, 236764, 236778, 236771, 236771, 14272, 236761, 2301, 13258, 1202, 531, 1966, 20532, 10670, 1941, 1781, 236783, 106, 107, 105, 4368, 107, 818, 11860, 2523, 236789, 236751, 9255, 13822, 21184, 7548, 573, 496, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 2033, 607, 496, 609, 236778, 236771, 236764, 236771, 236771, 236771, 1679, 7548, 236764, 236743, 236810, 236908, 2142, 3136, 236764, 532, 236743, 236800, 236771, 236772, 3704, 1941, 563, 5213, 236795, 236770, 236764, 236771, 236832, 236800, 236761, 236825, 236812, 1018, 568, 31798, 900, 2142, 769, 236743, 108, 10354, 9533, 20303, 236787, 107, 236772, 5213, 51654, 2886, 66515, 609, 236770, 236828, 236771, 236764, 236771, 236771, 236771, 568, 9900, 609, 236778, 236771, 236764, 236771, 236771, 236771, 1679, 7548, 236768, 138, 107, 236772, 5213, 9640, 2142, 6382, 1024, 236743, 236800, 236771, 1518, 66515, 609, 236770, 236812, 236832, 236764, 236828, 236812, 236812, 236761, 236828, 236771, 138, 107, 236772, 5213, 51654, 236772, 1071, 236772, 3135, 568, 236798, 14182, 236768, 7232, 66515, 236743, 236819, 236771, 236908, 138, 108, 10354, 111506, 236787, 138, 107, 10081, 506, 13822, 7548, 563, 5213, 60096, 609, 236770, 236764, 236778, 236771, 236771, 125546, 506, 236743, 236800, 236771, 236772, 3704, 10670, 1941, 7412, 17075, 573, 910, 7715, 236761, 562, 20532, 236743, 236770, 236810, 236772, 3704, 1941, 1093, 1186, 577, 4127, 768, 910, 7548, 36774, 506, 609, 236770, 236764, 236778, 236771, 236771, 14272, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 30981, 568, 236744, 236761, 236759, 1126, 1607, 1679, 13192, 653, 3755, 236768, 573, 3342, 3671, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2731, 496, 4284, 7946, 531, 506, 11545, 37986, 5008, 11796, 15467, 528, 19127, 236764, 27806, 2148, 2297, 236761, 28344, 611, 2426, 506, 7606, 14415, 573, 600, 2433, 531, 1601, 786, 3294, 37404, 236881, 564, 236789, 236757, 4285, 23210, 1003, 120418, 11139, 2338, 564, 6827, 506, 192812, 740, 974, 95015, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236832, 236771, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236778, 236764, 623, 12138, 236779, 4711, 1083, 236743, 236812, 236771, 236764, 623, 7926, 236779, 2662, 1083, 236743, 236810, 1263, 623, 52511, 1083, 3714, 32320, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 827, 623, 11480, 1083, 236743, 236828, 236828, 236764, 623, 976, 1083, 236743, 236825, 236800, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 236779, 95852, 1083, 236743, 236778, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236770, 827, 623, 11480, 1083, 236743, 236819, 236770, 236764, 623, 976, 1083, 236743, 236825, 236832, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 44340, 236779, 95852, 1083, 236743, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 11480, 1083, 236743, 236828, 236810, 236764, 623, 976, 1083, 236743, 236825, 236770, 236764, 623, 19216, 1083, 623, 125055, 204409, 827, 623, 44340, 236779, 95852, 1083, 236743, 236832, 236771, 104960, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236825, 236825, 236764, 623, 77269, 1083, 236743, 236832, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236778, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236812, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236825, 236800, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236770, 200808, 623, 85038, 567, 1083, 623, 12415, 12627, 573, 120418, 11139, 568, 236825, 236771, 236772, 236825, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236768, 532, 1966, 496, 6927, 16621, 573, 3435, 139938, 580, 5142, 236743, 236770, 236778, 236761, 226588, 61897, 568, 236828, 236810, 236772, 236819, 236770, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236768, 3600, 78351, 15337, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14415, 573, 19127, 236764, 27806, 2101, 822, 11545, 37986, 5008, 7946, 14069, 236787, 108, 1018, 3503, 20303, 573, 85134, 53121, 107, 236772, 5213, 43146, 2289, 14533, 236751, 53121, 236743, 236825, 236800, 237366, 236811, 531, 236743, 236825, 236828, 237366, 236811, 568, 105032, 573, 192812, 236768, 1271, 13079, 12627, 1133, 496, 2214, 16621, 653, 30526, 236761, 107, 236772, 5213, 13265, 2289, 4819, 236751, 53121, 236743, 236828, 236810, 237366, 236811, 531, 236743, 236819, 236770, 237366, 236811, 1271, 96169, 742, 15337, 1133, 32193, 532, 494, 236772, 46299, 10325, 236761, 107, 236772, 5213, 45060, 32180, 53121, 236743, 236832, 236771, 236908, 6584, 529, 139938, 580, 5142, 236743, 236770, 236778, 1271, 42641, 496, 6927, 16621, 653, 36187, 236761, 107, 236772, 5213, 42554, 53121, 10847, 203976, 568, 236812, 236772, 236828, 44269, 236768, 1271, 3790, 496, 3262, 4561, 573, 30295, 236761, 108, 1018, 27779, 33879, 53121, 107, 236772, 19296, 3546, 529, 236743, 236810, 12205, 92332, 563, 4354, 1913, 506, 1719, 236761, 107, 236772, 208719, 2101, 236743, 236825, 236810, 236772, 236832, 236828, 236908, 1271, 148038, 236772, 14198, 522, 40860, 1451, 1601, 607, 5931, 236761, 107, 236772, 14066, 16329, 506, 14415, 1570, 12532, 531, 822, 3433, 573, 12496, 236761, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 250050, 238178, 106, 107, 105, 2364, 107, 6445, 600, 564, 1281, 506, 7606, 236764, 564, 1374, 4516, 5811, 855, 1217, 1623, 4314, 564, 236858, 859, 1202, 573, 506, 5697, 699, 14100, 10373, 531, 19127, 236761, 3199, 611, 1601, 786, 9279, 1041, 1295, 236858, 236751, 7611, 9286, 236881, 1030, 236858, 236751, 496, 236743, 236778, 236771, 236770, 236828, 31171, 11862, 236772, 236847, 236764, 532, 564, 236858, 859, 577, 9204, 10723, 580, 58259, 657, 2101, 236743, 236832, 236771, 44269, 236761, 564, 236858, 236753, 1133, 531, 1281, 1217, 3187, 564, 236858, 859, 1202, 531, 4721, 573, 4314, 531, 2514, 2432, 5013, 236772, 6796, 236888, 236743, 251974, 106, 107, 105, 4368, 107, 2021, 9279, 822, 7611, 9286, 532, 6054, 1217, 3187, 611, 236789, 859, 1202, 531, 4721, 573, 4314, 236764, 564, 236789, 859, 1202, 496, 3103, 919, 1938, 236761, 669, 5213, 30718, 236779, 45594, 236779, 70687, 1018, 5904, 7087, 236787, 108, 236770, 236761, 5213, 23258, 66515, 2088, 1551, 7635, 236786, 11375, 563, 506, 7946, 699, 14100, 10373, 531, 19127, 236881, 138, 107, 236778, 236761, 5213, 77603, 27874, 66515, 1637, 611, 236858, 560, 50054, 496, 3068, 7946, 236858, 236751, 7611, 14120, 568, 236744, 236761, 236759, 1126, 623, 236777, 1456, 236743, 236770, 236771, 39813, 531, 5697, 236743, 236800, 236771, 236771, 7635, 3959, 564, 740, 9279, 9286, 236761, 138, 107, 236800, 236761, 5213, 72776, 2425, 66515, 2088, 2455, 563, 822, 11862, 236772, 236847, 236858, 236751, 4314, 10886, 568, 495, 39813, 236786, 18114, 616, 20625, 138, 108, 93446, 236764, 768, 611, 1537, 236858, 236745, 735, 4453, 1262, 236764, 564, 740, 10967, 1699, 506, 4398, 23305, 7611, 9286, 573, 496, 236743, 236778, 236771, 236770, 236828, 31171, 11862, 236772, 236847, 568, 116645, 5213, 236800, 236812, 133063, 1018, 580, 58259, 657, 236743, 236832, 236771, 44269, 769, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 236743, 245701, 245367, 138, 108, 16907, 236791, 236761, 236773, 236761, 1637, 611, 236858, 500, 54538, 1003, 506, 5149, 236764, 1531, 786, 1281, 236764, 532, 564, 740, 8214, 611, 580, 8159, 625, 2907, 236829, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 2765, 531, 1161, 506, 4398, 573, 1041, 11862, 236772, 236847, 2338, 564, 1537, 236858, 236745, 735, 4453, 7611, 1262, 31380, 236761, 3792, 236858, 236751, 817, 607, 506, 236743, 236800, 236812, 133063, 23305, 10967, 236888, 1701, 506, 7946, 5149, 236764, 564, 1751, 625, 236858, 236751, 20129, 5213, 236778, 236800, 236771, 7635, 1018, 699, 14100, 10373, 531, 19127, 568, 236777, 15593, 496, 3823, 4187, 3927, 779, 532, 1041, 4314, 10886, 9258, 5213, 236770, 236810, 236761, 236800, 39813, 84750, 3199, 611, 9279, 1217, 1551, 2782, 564, 236858, 859, 1202, 531, 5727, 872, 236881, 6542, 236764, 1027, 9106, 580, 35009, 573, 506, 5697, 236881, 236743, 245701, 245367, 106, 107, 105, 4368, 107, 1018, 77603, 71293, 86249, 53121, 138, 107, 3497, 496, 236743, 236778, 236771, 236770, 236828, 31171, 11862, 236772, 236847, 47284, 5213, 236800, 236812, 133063, 1018, 580, 58259, 236787, 138, 107, 236772, 5213, 9640, 7611, 4354, 66515, 236743, 236778, 236800, 236771, 7635, 108140, 236743, 236800, 236812, 133063, 67081, 5213, 236825, 236761, 236832, 236825, 39813, 84750, 138, 107, 236772, 5213, 72776, 6541, 66515, 236743, 236770, 236810, 236761, 236800, 39813, 568, 814, 496, 3161, 2587, 10886, 563, 919, 1082, 3487, 573, 506, 7946, 769, 138, 108, 1018, 7166, 110862, 224638, 66515, 138, 107, 3048, 2810, 236858, 236745, 1202, 531, 87487, 1913, 506, 886, 236772, 2677, 7946, 236888, 7712, 607, 496, 3746, 236772, 56065, 1502, 236764, 611, 236858, 236753, 2036, 735, 11766, 529, 2644, 236761, 1701, 4886, 22817, 653, 5065, 2668, 236764, 496, 3161, 87487, 1093, 69942, 236761, 138, 108, 1018, 16098, 697, 140604, 573, 506, 17713, 66515, 138, 107, 236772, 5213, 14042, 236772, 721, 204857, 66515, 23855, 6921, 236764, 21580, 196816, 236764, 133398, 13163, 236764, 205807, 236761, 138, 107, 236772, 5213, 5141, 204857, 568, 584, 30295, 496, 30927, 62902, 236787, 10829, 207214, 236764, 9479, 568, 145979, 236764, 71816, 779, 13840, 33227, 236764, 52652, 27370, 236761, 138, 107, 236772, 5213, 91857, 1830, 66515, 7768, 22727, 236764, 42257, 19060, 236764, 653, 7681, 528, 496, 126020, 236761, 138, 107, 236772, 5213, 61192, 66515, 13079, 496, 1944, 31012, 5693, 573, 3735, 50600, 532, 496, 24282, 5154, 43776, 236888, 138, 108, 6481, 786, 1281, 768, 611, 1202, 919, 11221, 236888, 236743, 245701, 245367, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2731, 496, 4284, 7946, 531, 506, 11545, 37986, 5008, 11796, 15467, 528, 19127, 236764, 27806, 2148, 2297, 236761, 28344, 611, 2426, 506, 7606, 14415, 573, 600, 2433, 531, 1601, 786, 3294, 37404, 236881, 564, 236789, 236757, 4285, 23210, 1003, 120418, 11139, 2338, 564, 6827, 506, 192812, 740, 974, 95015, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236832, 236771, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236778, 236764, 623, 12138, 236779, 4711, 1083, 236743, 236812, 236771, 236764, 623, 7926, 236779, 2662, 1083, 236743, 236810, 1263, 623, 52511, 1083, 3714, 32320, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 827, 623, 11480, 1083, 236743, 236828, 236828, 236764, 623, 976, 1083, 236743, 236825, 236800, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 236779, 95852, 1083, 236743, 236778, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236770, 827, 623, 11480, 1083, 236743, 236819, 236770, 236764, 623, 976, 1083, 236743, 236825, 236832, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 44340, 236779, 95852, 1083, 236743, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 827, 623, 11480, 1083, 236743, 236828, 236810, 236764, 623, 976, 1083, 236743, 236825, 236770, 236764, 623, 19216, 1083, 623, 125055, 204409, 827, 623, 44340, 236779, 95852, 1083, 236743, 236832, 236771, 104960, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236828, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236825, 236825, 236764, 623, 77269, 1083, 236743, 236832, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236778, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236825, 236812, 236764, 623, 136069, 236779, 5282, 1083, 236743, 236825, 236800, 236764, 623, 77269, 1083, 236743, 236832, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236770, 200808, 623, 85038, 567, 1083, 623, 12415, 12627, 573, 120418, 11139, 568, 236825, 236771, 236772, 236825, 236828, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236768, 532, 1966, 496, 6927, 16621, 573, 3435, 139938, 580, 5142, 236743, 236770, 236778, 236761, 226588, 61897, 568, 236828, 236810, 236772, 236819, 236770, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236768, 3600, 78351, 15337, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14415, 573, 19127, 236764, 27806, 2101, 822, 11545, 37986, 5008, 7946, 14069, 236787, 108, 1018, 3503, 20303, 573, 85134, 53121, 107, 236772, 5213, 43146, 2289, 14533, 236751, 53121, 236743, 236825, 236800, 237366, 236811, 531, 236743, 236825, 236828, 237366, 236811, 568, 105032, 573, 192812, 236768, 1271, 13079, 12627, 1133, 496, 2214, 16621, 653, 30526, 236761, 107, 236772, 5213, 13265, 2289, 4819, 236751, 53121, 236743, 236828, 236810, 237366, 236811, 531, 236743, 236819, 236770, 237366, 236811, 1271, 96169, 742, 15337, 1133, 32193, 532, 494, 236772, 46299, 10325, 236761, 107, 236772, 5213, 45060, 32180, 53121, 236743, 236832, 236771, 236908, 6584, 529, 139938, 580, 5142, 236743, 236770, 236778, 1271, 42641, 496, 6927, 16621, 653, 36187, 236761, 107, 236772, 5213, 42554, 53121, 10847, 203976, 568, 236812, 236772, 236828, 44269, 236768, 1271, 3790, 496, 3262, 4561, 573, 30295, 236761, 108, 1018, 27779, 33879, 53121, 107, 236772, 19296, 3546, 529, 236743, 236810, 12205, 92332, 563, 4354, 1913, 506, 1719, 236761, 107, 236772, 208719, 2101, 236743, 236825, 236810, 236772, 236832, 236828, 236908, 1271, 148038, 236772, 14198, 522, 40860, 1451, 1601, 607, 5931, 236761, 107, 236772, 14066, 16329, 506, 14415, 1570, 12532, 531, 822, 3433, 573, 12496, 236761, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 250050, 238178, 106, 107, 105, 2364, 107, 6445, 600, 564, 1281, 506, 7606, 236764, 564, 1374, 4516, 5811, 855, 1217, 1623, 4314, 564, 236858, 859, 1202, 573, 506, 5697, 699, 14100, 10373, 531, 19127, 236761, 3199, 611, 1601, 786, 9279, 1041, 1295, 236858, 236751, 7611, 9286, 236881, 1030, 236858, 236751, 496, 236743, 236778, 236771, 236770, 236828, 31171, 11862, 236772, 236847, 236764, 532, 564, 236858, 859, 577, 9204, 10723, 580, 58259, 657, 2101, 236743, 236832, 236771, 44269, 236761, 564, 236858, 236753, 1133, 531, 1281, 1217, 3187, 564, 236858, 859, 1202, 531, 4721, 573, 4314, 531, 2514, 2432, 5013, 236772, 6796, 236888, 236743, 251974, 106, 107, 105, 4368, 107, 2021, 9279, 822, 7611, 9286, 532, 6054, 1217, 3187, 611, 236789, 859, 1202, 531, 4721, 573, 4314, 236764, 564, 236789, 859, 1202, 496, 3103, 919, 1938, 236761, 669, 5213, 30718, 236779, 45594, 236779, 70687, 1018, 5904, 7087, 236787, 108, 236770, 236761, 5213, 23258, 66515, 2088, 1551, 7635, 236786, 11375, 563, 506, 7946, 699, 14100, 10373, 531, 19127, 236881, 138, 107, 236778, 236761, 5213, 77603, 27874, 66515, 1637, 611, 236858, 560, 50054, 496, 3068, 7946, 236858, 236751, 7611, 14120, 568, 236744, 236761, 236759, 1126, 623, 236777, 1456, 236743, 236770, 236771, 39813, 531, 5697, 236743, 236800, 236771, 236771, 7635, 3959, 564, 740, 9279, 9286, 236761, 138, 107, 236800, 236761, 5213, 72776, 2425, 66515, 2088, 2455, 563, 822, 11862, 236772, 236847, 236858, 236751, 4314, 10886, 568, 495, 39813, 236786, 18114, 616, 20625, 138, 108, 93446, 236764, 768, 611, 1537, 236858, 236745, 735, 4453, 1262, 236764, 564, 740, 10967, 1699, 506, 4398, 23305, 7611, 9286, 573, 496, 236743, 236778, 236771, 236770, 236828, 31171, 11862, 236772, 236847, 568, 116645, 5213, 236800, 236812, 133063, 1018, 580, 58259, 657, 236743, 236832, 236771, 44269, 769, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 236743, 245701, 245367, 138, 108, 16907, 236791, 236761, 236773, 236761, 1637, 611, 236858, 500, 54538, 1003, 506, 5149, 236764, 1531, 786, 1281, 236764, 532, 564, 740, 8214, 611, 580, 8159, 625, 2907, 236829, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 2765, 531, 1161, 506, 4398, 573, 1041, 11862, 236772, 236847, 2338, 564, 1537, 236858, 236745, 735, 4453, 7611, 1262, 31380, 236761, 3792, 236858, 236751, 817, 607, 506, 236743, 236800, 236812, 133063, 23305, 10967, 236888, 1701, 506, 7946, 5149, 236764, 564, 1751, 625, 236858, 236751, 20129, 5213, 236778, 236800, 236771, 7635, 1018, 699, 14100, 10373, 531, 19127, 568, 236777, 15593, 496, 3823, 4187, 3927, 779, 532, 1041, 4314, 10886, 9258, 5213, 236770, 236810, 236761, 236800, 39813, 84750, 3199, 611, 9279, 1217, 1551, 2782, 564, 236858, 859, 1202, 531, 5727, 872, 236881, 6542, 236764, 1027, 9106, 580, 35009, 573, 506, 5697, 236881, 236743, 245701, 245367, 106, 107, 105, 4368, 107, 1018, 77603, 71293, 86249, 53121, 138, 107, 3497, 496, 236743, 236778, 236771, 236770, 236828, 31171, 11862, 236772, 236847, 47284, 5213, 236800, 236812, 133063, 1018, 580, 58259, 236787, 138, 107, 236772, 5213, 9640, 7611, 4354, 66515, 236743, 236778, 236800, 236771, 7635, 108140, 236743, 236800, 236812, 133063, 67081, 5213, 236825, 236761, 236832, 236825, 39813, 84750, 138, 107, 236772, 5213, 72776, 6541, 66515, 236743, 236770, 236810, 236761, 236800, 39813, 568, 814, 496, 3161, 2587, 10886, 563, 919, 1082, 3487, 573, 506, 7946, 769, 138, 108, 1018, 7166, 110862, 224638, 66515, 138, 107, 3048, 2810, 236858, 236745, 1202, 531, 87487, 1913, 506, 886, 236772, 2677, 7946, 236888, 7712, 607, 496, 3746, 236772, 56065, 1502, 236764, 611, 236858, 236753, 2036, 735, 11766, 529, 2644, 236761, 1701, 4886, 22817, 653, 5065, 2668, 236764, 496, 3161, 87487, 1093, 69942, 236761, 138, 108, 1018, 16098, 697, 140604, 573, 506, 17713, 66515, 138, 107, 236772, 5213, 14042, 236772, 721, 204857, 66515, 23855, 6921, 236764, 21580, 196816, 236764, 133398, 13163, 236764, 205807, 236761, 138, 107, 236772, 5213, 5141, 204857, 568, 584, 30295, 496, 30927, 62902, 236787, 10829, 207214, 236764, 9479, 568, 145979, 236764, 71816, 779, 13840, 33227, 236764, 52652, 27370, 236761, 138, 107, 236772, 5213, 91857, 1830, 66515, 7768, 22727, 236764, 42257, 19060, 236764, 653, 7681, 528, 496, 126020, 236761, 138, 107, 236772, 5213, 61192, 66515, 13079, 496, 1944, 31012, 5693, 573, 3735, 50600, 532, 496, 24282, 5154, 43776, 236888, 138, 108, 6481, 786, 1281, 768, 611, 1202, 919, 11221, 236888, 236743, 245701, 245367, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 506, 28150, 529, 496, 3435, 12524, 4181, 8324, 2721, 528, 8187, 236761, 28344, 611, 1385, 872, 506, 1960, 4889, 573, 3602, 29235, 23566, 8187, 1699, 910, 562, 10589, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236881, 1191, 236789, 500, 11337, 22743, 910, 9144, 4796, 5058, 528, 1023, 7905, 236789, 236751, 56241, 25755, 532, 1202, 26093, 529, 910, 1873, 84982, 4981, 236761, 106, 107, 105, 4368, 107, 818, 13382, 7449, 17697, 7087, 614, 31324, 54696, 653, 9299, 2307, 531, 2121, 562, 10589, 1385, 11303, 236761, 5612, 672, 1938, 18116, 236789, 236745, 1010, 3847, 236764, 564, 3914, 13707, 506, 3927, 236779, 2003, 236779, 596, 236749, 1292, 531, 16807, 3602, 29235, 23566, 8187, 236789, 236751, 28150, 236761, 1599, 236789, 859, 1202, 531, 3477, 2847, 506, 3149, 31324, 8369, 653, 2426, 506, 562, 10589, 5467, 1343, 506, 13382, 7449, 17697, 4456, 657, 4560, 1411, 2769, 236761, 61799, 236761, 12561, 236761, 826, 236761, 106, 107, 105, 2364, 107, 6481, 786, 2426, 607, 1023, 7905, 236789, 236751, 9053, 7920, 236761, 564, 236789, 859, 974, 1063, 531, 611, 607, 506, 4127, 31324, 8369, 21546, 1781, 46260, 6259, 496, 8652, 23493, 12016, 623, 8291, 236789, 236751, 506, 9299, 2307, 236787, 562, 12357, 236772, 10252, 236772, 236778, 236771, 236778, 236800, 236772, 2413, 136383, 236772, 25291, 236811, 236761, 28344, 611, 1492, 7162, 607, 92578, 3602, 29235, 23566, 8187, 236789, 236751, 562, 10589, 236881, 564, 1202, 531, 5330, 910, 84982, 100146, 607, 1023, 56241, 11403, 6035, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23019, 9364, 1083, 3714, 596, 236749, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 11128, 1567, 1083, 623, 2413, 136383, 182547, 179658, 5299, 593, 20520, 61043, 827, 623, 4818, 1083, 623, 14009, 827, 623, 3241, 9604, 1083, 3714, 7720, 4539, 236770, 1083, 623, 236770, 236778, 236800, 32237, 17713, 827, 623, 13319, 1083, 623, 127475, 827, 623, 3255, 1083, 623, 193470, 827, 623, 3274, 4809, 1083, 623, 236778, 236771, 236771, 236771, 23179, 623, 30393, 7838, 1083, 3714, 126400, 1083, 3714, 4818, 1083, 623, 14009, 827, 623, 63595, 4663, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 236775, 5237, 623, 124977, 9473, 1083, 78493, 4177, 3682, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236819, 236772, 236771, 236770, 827, 623, 7777, 1083, 623, 9233, 529, 13186, 1722, 699, 146622, 15216, 19159, 531, 19159, 684, 84304, 23179, 3714, 4177, 3682, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 7777, 1083, 623, 83673, 573, 52120, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 4675, 29235, 23566, 8187, 236789, 236751, 562, 10589, 28250, 563, 4133, 236761, 5715, 659, 506, 2307, 4889, 236787, 108, 1018, 8782, 18365, 53121, 138, 107, 236772, 5213, 3066, 236797, 53121, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 568, 4730, 236768, 138, 107, 236772, 5213, 9364, 7343, 53121, 17026, 136383, 182547, 179658, 5299, 593, 20520, 61043, 138, 107, 236772, 5213, 6717, 53121, 23531, 138, 107, 236772, 5213, 7765, 15874, 53121, 236743, 236770, 236778, 236800, 32237, 17713, 236764, 20616, 236764, 43202, 236743, 236778, 236771, 236771, 236771, 138, 107, 236772, 5213, 156223, 36997, 53121, 23531, 2338, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 108, 1018, 100368, 34356, 53121, 138, 107, 236770, 236761, 5857, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236770, 236787, 37834, 1722, 6692, 699, 623, 18075, 604, 15216, 19159, 236775, 531, 623, 107443, 684, 84304, 1781, 138, 107, 236778, 236761, 5365, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236770, 236819, 236787, 52120, 15020, 10778, 236761, 138, 108, 818, 2544, 7412, 531, 577, 22074, 8172, 532, 52120, 236772, 63595, 236764, 837, 1149, 10128, 14143, 607, 13382, 3869, 532, 1960, 8443, 236761, 669, 13186, 1722, 2352, 528, 236743, 236778, 236771, 236778, 236770, 12205, 13718, 30981, 236764, 840, 506, 1960, 7474, 528, 1535, 8101, 236761, 138, 108, 25552, 672, 1938, 2874, 822, 56241, 11403, 6035, 236764, 653, 1093, 611, 1133, 3342, 65977, 580, 1027, 4889, 236881, 106, 107, 105, 2364, 107, 818, 562, 10589, 28250, 44898, 3602, 29235, 23566, 8187, 563, 5158, 532, 53003, 236764, 840, 564, 6303, 910, 13186, 1722, 6692, 531, 756, 107443, 684, 84304, 236789, 528, 236743, 236778, 236771, 236778, 236770, 236761, 28344, 611, 37386, 1144, 672, 13718, 8633, 11082, 86331, 573, 13382, 8634, 236881, 564, 1461, 531, 5330, 910, 38179, 100146, 607, 23226, 3213, 580, 12524, 4181, 4319, 1082, 496, 8633, 8797, 1908, 236772, 17341, 653, 75546, 4681, 600, 2473, 4208, 1023, 56241, 11403, 236761, 6542, 236764, 1651, 506, 52120, 15020, 563, 4341, 236764, 659, 993, 1027, 4767, 12524, 1055, 14915, 847, 653, 83073, 3149, 528, 8187, 573, 3602, 29235, 15063, 600, 692, 1374, 4071, 236772, 41253, 236881, 106, 107, 105, 4368, 107, 818, 13718, 8633, 531, 496, 5213, 236775, 107443, 684, 84304, 236775, 1018, 13186, 528, 13382, 1960, 11082, 2820, 236787, 138, 107, 236772, 669, 2544, 951, 4890, 815, 4024, 5279, 236764, 532, 3295, 236789, 19096, 563, 5809, 531, 496, 6530, 2886, 568, 1437, 623, 5025, 13767, 1373, 901, 8748, 531, 13157, 768, 506, 2544, 29146, 872, 236761, 138, 107, 236772, 1174, 3904, 563, 3364, 573, 1908, 236772, 72961, 236764, 56797, 236764, 653, 2777, 27709, 840, 740, 992, 577, 1456, 684, 573, 236772, 17341, 20880, 12985, 19142, 528, 27414, 568, 236744, 236761, 236759, 1126, 48951, 223884, 531, 73987, 236772, 27612, 4681, 769, 138, 107, 236772, 1030, 1677, 5213, 2217, 11269, 2689, 506, 2544, 5452, 1908, 236772, 17341, 125546, 840, 625, 1149, 6953, 496, 3213, 580, 122569, 522, 19353, 1131, 2777, 653, 12524, 7675, 236761, 2282, 9128, 3602, 29235, 23566, 8187, 236789, 236751, 4981, 236764, 2426, 768, 901, 236858, 500, 12314, 607, 506, 5213, 78490, 150823, 532, 3790, 236772, 1708, 236772, 72961, 6881, 568, 2714, 10284, 62902, 236761, 138, 108, 2542, 5213, 119312, 1055, 14915, 847, 1018, 528, 8187, 236787, 138, 107, 236770, 236761, 5213, 236776, 2406, 5299, 52414, 66515, 669, 13382, 9426, 29287, 20467, 8096, 568, 236776, 2406, 5299, 236768, 5469, 32116, 83073, 573, 3602, 29235, 15063, 5395, 3325, 532, 30426, 8443, 236761, 138, 107, 236778, 236761, 5213, 15413, 74582, 77453, 66515, 66636, 768, 910, 9144, 4796, 5058, 100146, 607, 506, 5213, 78490, 92381, 568, 2714, 40569, 62902, 653, 1883, 236772, 15396, 44362, 568, 236744, 236761, 236759, 1126, 43202, 9426, 31022, 19430, 769, 138, 107, 236800, 236761, 5213, 52581, 63040, 66515, 41152, 63232, 531, 506, 5213, 52581, 3520, 236743, 236770, 236819, 236828, 236828, 1018, 568, 38279, 5117, 1262, 60528, 1208, 506, 5213, 4348, 32265, 5774, 8489, 5179, 10165, 1018, 769, 138, 107, 236812, 236761, 5213, 32279, 31022, 66515, 11696, 573, 83073, 1133, 5213, 32279, 236743, 236819, 236771, 236771, 236770, 568, 40213, 8813, 62902, 653, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 568, 23415, 12096, 62902, 236761, 138, 108, 1018, 9272, 50228, 573, 90329, 66515, 138, 107, 236772, 12808, 506, 5213, 2714, 10284, 6818, 1018, 26882, 2769, 236761, 552, 13107, 236761, 12561, 236761, 826, 5457, 2574, 1411, 2769, 236761, 552, 13107, 236761, 12561, 236761, 826, 1223, 531, 9128, 768, 3602, 29235, 23566, 8187, 563, 9456, 618, 496, 21811, 236761, 138, 107, 236772, 13948, 5213, 236776, 2406, 5299, 1018, 653, 2864, 13049, 5467, 699, 506, 2544, 531, 9128, 3956, 83073, 236761, 138, 107, 236772, 9352, 910, 4456, 236786, 95601, 4957, 573, 14143, 111199, 236761, 138, 108, 38786, 611, 1133, 14984, 580, 1027, 529, 1239, 28250, 6555, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 506, 28150, 529, 496, 3435, 12524, 4181, 8324, 2721, 528, 8187, 236761, 28344, 611, 1385, 872, 506, 1960, 4889, 573, 3602, 29235, 23566, 8187, 1699, 910, 562, 10589, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236881, 1191, 236789, 500, 11337, 22743, 910, 9144, 4796, 5058, 528, 1023, 7905, 236789, 236751, 56241, 25755, 532, 1202, 26093, 529, 910, 1873, 84982, 4981, 236761, 106, 107, 105, 4368, 107, 818, 13382, 7449, 17697, 7087, 614, 31324, 54696, 653, 9299, 2307, 531, 2121, 562, 10589, 1385, 11303, 236761, 5612, 672, 1938, 18116, 236789, 236745, 1010, 3847, 236764, 564, 3914, 13707, 506, 3927, 236779, 2003, 236779, 596, 236749, 1292, 531, 16807, 3602, 29235, 23566, 8187, 236789, 236751, 28150, 236761, 1599, 236789, 859, 1202, 531, 3477, 2847, 506, 3149, 31324, 8369, 653, 2426, 506, 562, 10589, 5467, 1343, 506, 13382, 7449, 17697, 4456, 657, 4560, 1411, 2769, 236761, 61799, 236761, 12561, 236761, 826, 236761, 106, 107, 105, 2364, 107, 6481, 786, 2426, 607, 1023, 7905, 236789, 236751, 9053, 7920, 236761, 564, 236789, 859, 974, 1063, 531, 611, 607, 506, 4127, 31324, 8369, 21546, 1781, 46260, 6259, 496, 8652, 23493, 12016, 623, 8291, 236789, 236751, 506, 9299, 2307, 236787, 562, 12357, 236772, 10252, 236772, 236778, 236771, 236778, 236800, 236772, 2413, 136383, 236772, 25291, 236811, 236761, 28344, 611, 1492, 7162, 607, 92578, 3602, 29235, 23566, 8187, 236789, 236751, 562, 10589, 236881, 564, 1202, 531, 5330, 910, 84982, 100146, 607, 1023, 56241, 11403, 6035, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23019, 9364, 1083, 3714, 596, 236749, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 11128, 1567, 1083, 623, 2413, 136383, 182547, 179658, 5299, 593, 20520, 61043, 827, 623, 4818, 1083, 623, 14009, 827, 623, 3241, 9604, 1083, 3714, 7720, 4539, 236770, 1083, 623, 236770, 236778, 236800, 32237, 17713, 827, 623, 13319, 1083, 623, 127475, 827, 623, 3255, 1083, 623, 193470, 827, 623, 3274, 4809, 1083, 623, 236778, 236771, 236771, 236771, 23179, 623, 30393, 7838, 1083, 3714, 126400, 1083, 3714, 4818, 1083, 623, 14009, 827, 623, 63595, 4663, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236800, 236772, 236770, 236810, 236775, 5237, 623, 124977, 9473, 1083, 78493, 4177, 3682, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236819, 236772, 236771, 236770, 827, 623, 7777, 1083, 623, 9233, 529, 13186, 1722, 699, 146622, 15216, 19159, 531, 19159, 684, 84304, 23179, 3714, 4177, 3682, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 7777, 1083, 623, 83673, 573, 52120, 236775, 15947, 1807, 106, 107, 105, 4368, 107, 4675, 29235, 23566, 8187, 236789, 236751, 562, 10589, 28250, 563, 4133, 236761, 5715, 659, 506, 2307, 4889, 236787, 108, 1018, 8782, 18365, 53121, 138, 107, 236772, 5213, 3066, 236797, 53121, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 568, 4730, 236768, 138, 107, 236772, 5213, 9364, 7343, 53121, 17026, 136383, 182547, 179658, 5299, 593, 20520, 61043, 138, 107, 236772, 5213, 6717, 53121, 23531, 138, 107, 236772, 5213, 7765, 15874, 53121, 236743, 236770, 236778, 236800, 32237, 17713, 236764, 20616, 236764, 43202, 236743, 236778, 236771, 236771, 236771, 138, 107, 236772, 5213, 156223, 36997, 53121, 23531, 2338, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 108, 1018, 100368, 34356, 53121, 138, 107, 236770, 236761, 5857, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236770, 236787, 37834, 1722, 6692, 699, 623, 18075, 604, 15216, 19159, 236775, 531, 623, 107443, 684, 84304, 1781, 138, 107, 236778, 236761, 5365, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236770, 236819, 236787, 52120, 15020, 10778, 236761, 138, 108, 818, 2544, 7412, 531, 577, 22074, 8172, 532, 52120, 236772, 63595, 236764, 837, 1149, 10128, 14143, 607, 13382, 3869, 532, 1960, 8443, 236761, 669, 13186, 1722, 2352, 528, 236743, 236778, 236771, 236778, 236770, 12205, 13718, 30981, 236764, 840, 506, 1960, 7474, 528, 1535, 8101, 236761, 138, 108, 25552, 672, 1938, 2874, 822, 56241, 11403, 6035, 236764, 653, 1093, 611, 1133, 3342, 65977, 580, 1027, 4889, 236881, 106, 107, 105, 2364, 107, 818, 562, 10589, 28250, 44898, 3602, 29235, 23566, 8187, 563, 5158, 532, 53003, 236764, 840, 564, 6303, 910, 13186, 1722, 6692, 531, 756, 107443, 684, 84304, 236789, 528, 236743, 236778, 236771, 236778, 236770, 236761, 28344, 611, 37386, 1144, 672, 13718, 8633, 11082, 86331, 573, 13382, 8634, 236881, 564, 1461, 531, 5330, 910, 38179, 100146, 607, 23226, 3213, 580, 12524, 4181, 4319, 1082, 496, 8633, 8797, 1908, 236772, 17341, 653, 75546, 4681, 600, 2473, 4208, 1023, 56241, 11403, 236761, 6542, 236764, 1651, 506, 52120, 15020, 563, 4341, 236764, 659, 993, 1027, 4767, 12524, 1055, 14915, 847, 653, 83073, 3149, 528, 8187, 573, 3602, 29235, 15063, 600, 692, 1374, 4071, 236772, 41253, 236881, 106, 107, 105, 4368, 107, 818, 13718, 8633, 531, 496, 5213, 236775, 107443, 684, 84304, 236775, 1018, 13186, 528, 13382, 1960, 11082, 2820, 236787, 138, 107, 236772, 669, 2544, 951, 4890, 815, 4024, 5279, 236764, 532, 3295, 236789, 19096, 563, 5809, 531, 496, 6530, 2886, 568, 1437, 623, 5025, 13767, 1373, 901, 8748, 531, 13157, 768, 506, 2544, 29146, 872, 236761, 138, 107, 236772, 1174, 3904, 563, 3364, 573, 1908, 236772, 72961, 236764, 56797, 236764, 653, 2777, 27709, 840, 740, 992, 577, 1456, 684, 573, 236772, 17341, 20880, 12985, 19142, 528, 27414, 568, 236744, 236761, 236759, 1126, 48951, 223884, 531, 73987, 236772, 27612, 4681, 769, 138, 107, 236772, 1030, 1677, 5213, 2217, 11269, 2689, 506, 2544, 5452, 1908, 236772, 17341, 125546, 840, 625, 1149, 6953, 496, 3213, 580, 122569, 522, 19353, 1131, 2777, 653, 12524, 7675, 236761, 2282, 9128, 3602, 29235, 23566, 8187, 236789, 236751, 4981, 236764, 2426, 768, 901, 236858, 500, 12314, 607, 506, 5213, 78490, 150823, 532, 3790, 236772, 1708, 236772, 72961, 6881, 568, 2714, 10284, 62902, 236761, 138, 108, 2542, 5213, 119312, 1055, 14915, 847, 1018, 528, 8187, 236787, 138, 107, 236770, 236761, 5213, 236776, 2406, 5299, 52414, 66515, 669, 13382, 9426, 29287, 20467, 8096, 568, 236776, 2406, 5299, 236768, 5469, 32116, 83073, 573, 3602, 29235, 15063, 5395, 3325, 532, 30426, 8443, 236761, 138, 107, 236778, 236761, 5213, 15413, 74582, 77453, 66515, 66636, 768, 910, 9144, 4796, 5058, 100146, 607, 506, 5213, 78490, 92381, 568, 2714, 40569, 62902, 653, 1883, 236772, 15396, 44362, 568, 236744, 236761, 236759, 1126, 43202, 9426, 31022, 19430, 769, 138, 107, 236800, 236761, 5213, 52581, 63040, 66515, 41152, 63232, 531, 506, 5213, 52581, 3520, 236743, 236770, 236819, 236828, 236828, 1018, 568, 38279, 5117, 1262, 60528, 1208, 506, 5213, 4348, 32265, 5774, 8489, 5179, 10165, 1018, 769, 138, 107, 236812, 236761, 5213, 32279, 31022, 66515, 11696, 573, 83073, 1133, 5213, 32279, 236743, 236819, 236771, 236771, 236770, 568, 40213, 8813, 62902, 653, 5213, 32279, 236743, 236778, 236832, 236771, 236771, 236770, 568, 23415, 12096, 62902, 236761, 138, 108, 1018, 9272, 50228, 573, 90329, 66515, 138, 107, 236772, 12808, 506, 5213, 2714, 10284, 6818, 1018, 26882, 2769, 236761, 552, 13107, 236761, 12561, 236761, 826, 5457, 2574, 1411, 2769, 236761, 552, 13107, 236761, 12561, 236761, 826, 1223, 531, 9128, 768, 3602, 29235, 23566, 8187, 563, 9456, 618, 496, 21811, 236761, 138, 107, 236772, 13948, 5213, 236776, 2406, 5299, 1018, 653, 2864, 13049, 5467, 699, 506, 2544, 531, 9128, 3956, 83073, 236761, 138, 107, 236772, 9352, 910, 4456, 236786, 95601, 4957, 573, 14143, 111199, 236761, 138, 108, 38786, 611, 1133, 14984, 580, 1027, 529, 1239, 28250, 6555, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 21494, 1023, 6675, 531, 496, 861, 31882, 528, 29918, 236764, 13187, 236761, 564, 1202, 531, 1281, 506, 5149, 1534, 1023, 1873, 10056, 528, 112546, 1108, 236764, 101121, 532, 29918, 236764, 13187, 236761, 6542, 236764, 564, 1374, 2426, 506, 2634, 3325, 993, 573, 506, 3068, 236743, 236778, 236812, 3885, 531, 2731, 506, 33972, 2480, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 623, 236810, 236810, 7635, 827, 623, 43201, 236779, 2289, 1083, 623, 236770, 6468, 236743, 236770, 236810, 46205, 827, 623, 11679, 236779, 6011, 1083, 623, 236777, 236772, 236832, 236771, 645, 236764, 10723, 23305, 607, 11893, 8827, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 3714, 37673, 1083, 236743, 236812, 236771, 236761, 236812, 236812, 236771, 236825, 236764, 623, 41713, 1083, 753, 236832, 236819, 236761, 236819, 236819, 236810, 236819, 236764, 623, 13319, 1083, 623, 161275, 827, 623, 3255, 1083, 623, 147307, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 15905, 236779, 3970, 1083, 623, 236770, 236810, 236778, 236778, 236778, 827, 623, 7720, 236779, 6502, 1083, 3714, 13319, 1083, 623, 161275, 827, 623, 3255, 1083, 623, 6597, 827, 623, 14801, 1083, 623, 3118, 236775, 5237, 623, 4818, 1083, 623, 10934, 827, 623, 3278, 1083, 623, 161275, 236764, 13187, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 3714, 8938, 1083, 236743, 236812, 236771, 236761, 236812, 236812, 236771, 236825, 236764, 623, 14716, 1083, 753, 236832, 236819, 236761, 236819, 236819, 236810, 236819, 236764, 623, 1201, 1083, 623, 161275, 236764, 13187, 23179, 623, 1404, 236779, 15276, 1083, 3714, 6011, 1083, 3714, 18553, 236779, 21101, 236747, 1083, 236743, 236810, 236828, 236764, 623, 2074, 236779, 21101, 236747, 1083, 236743, 236832, 236778, 236764, 623, 1387, 236779, 21101, 236747, 1083, 236743, 236812, 236810, 1263, 623, 159331, 1083, 78493, 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, 21101, 236747, 1083, 236743, 236825, 236770, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236828, 236761, 236778, 236764, 623, 236748, 236800, 1083, 236743, 236810, 236828, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236778, 5237, 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, 21101, 236747, 1083, 236743, 236832, 236778, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 236748, 236800, 1083, 236743, 236825, 236800, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236828, 5237, 3714, 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, 21101, 236747, 1083, 236743, 236825, 236832, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236778, 236770, 236761, 236770, 236764, 623, 236748, 236800, 1083, 236743, 236810, 236810, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236810, 5237, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236810, 236800, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236810, 236761, 236828, 236764, 623, 236748, 236800, 1083, 236743, 236812, 236819, 236764, 623, 1904, 236778, 1083, 236743, 236770, 236819, 5237, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236778, 236761, 236812, 236764, 623, 236748, 236800, 1083, 236743, 236812, 236778, 236764, 623, 1904, 236778, 1083, 236743, 236770, 236825, 79389, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 236787, 108, 1018, 23258, 28978, 50390, 53121, 107, 236772, 5213, 1882, 583, 1108, 236764, 101121, 531, 29918, 236764, 13187, 53121, 236743, 236810, 236810, 7635, 107, 236772, 5213, 122598, 17172, 7578, 53121, 236743, 236770, 6468, 236743, 236770, 236810, 4310, 4323, 564, 236772, 236832, 236771, 645, 107, 236772, 5213, 6870, 24118, 53121, 224924, 23305, 607, 11893, 8827, 108, 1018, 17995, 19779, 528, 29918, 568, 53666, 236743, 236778, 236812, 35174, 1473, 1018, 107, 236772, 5213, 35089, 95915, 236777, 53121, 236743, 236810, 236828, 568, 166920, 236768, 107, 236772, 5213, 85901, 95915, 236777, 53121, 236743, 236832, 236778, 568, 2805, 37841, 573, 13719, 4402, 657, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 236768, 107, 236772, 5213, 3503, 26809, 550, 1639, 53121, 107, 138, 236772, 8711, 236778, 236761, 236810, 236787, 630, 6628, 699, 236743, 236770, 236778, 236761, 236812, 236772, 236778, 236812, 236761, 236810, 5458, 236759, 236786, 236757, 239158, 107, 138, 236772, 155100, 236787, 236743, 236812, 236778, 236772, 236825, 236800, 185986, 107, 138, 236772, 95086, 169828, 236787, 236743, 236770, 236825, 236772, 236778, 236828, 185986, 108, 1018, 211199, 53121, 138, 107, 818, 21037, 95915, 236777, 12205, 20626, 2634, 3325, 6782, 236764, 840, 1966, 39252, 13719, 33972, 1913, 3718, 95915, 236777, 13443, 568, 236744, 236761, 236759, 1126, 5597, 3885, 1056, 8711, 236778, 236761, 236810, 691, 14723, 769, 669, 2822, 4301, 5149, 3590, 29918, 496, 28591, 10534, 4563, 607, 11893, 5203, 236772, 10619, 17446, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 21494, 1023, 6675, 531, 496, 861, 31882, 528, 29918, 236764, 13187, 236761, 564, 1202, 531, 1281, 506, 5149, 1534, 1023, 1873, 10056, 528, 112546, 1108, 236764, 101121, 532, 29918, 236764, 13187, 236761, 6542, 236764, 564, 1374, 2426, 506, 2634, 3325, 993, 573, 506, 3068, 236743, 236778, 236812, 3885, 531, 2731, 506, 33972, 2480, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 623, 236810, 236810, 7635, 827, 623, 43201, 236779, 2289, 1083, 623, 236770, 6468, 236743, 236770, 236810, 46205, 827, 623, 11679, 236779, 6011, 1083, 623, 236777, 236772, 236832, 236771, 645, 236764, 10723, 23305, 607, 11893, 8827, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 3714, 37673, 1083, 236743, 236812, 236771, 236761, 236812, 236812, 236771, 236825, 236764, 623, 41713, 1083, 753, 236832, 236819, 236761, 236819, 236819, 236810, 236819, 236764, 623, 13319, 1083, 623, 161275, 827, 623, 3255, 1083, 623, 147307, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 15905, 236779, 3970, 1083, 623, 236770, 236810, 236778, 236778, 236778, 827, 623, 7720, 236779, 6502, 1083, 3714, 13319, 1083, 623, 161275, 827, 623, 3255, 1083, 623, 6597, 827, 623, 14801, 1083, 623, 3118, 236775, 5237, 623, 4818, 1083, 623, 10934, 827, 623, 3278, 1083, 623, 161275, 236764, 13187, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 3714, 8938, 1083, 236743, 236812, 236771, 236761, 236812, 236812, 236771, 236825, 236764, 623, 14716, 1083, 753, 236832, 236819, 236761, 236819, 236819, 236810, 236819, 236764, 623, 1201, 1083, 623, 161275, 236764, 13187, 23179, 623, 1404, 236779, 15276, 1083, 3714, 6011, 1083, 3714, 18553, 236779, 21101, 236747, 1083, 236743, 236810, 236828, 236764, 623, 2074, 236779, 21101, 236747, 1083, 236743, 236832, 236778, 236764, 623, 1387, 236779, 21101, 236747, 1083, 236743, 236812, 236810, 1263, 623, 159331, 1083, 78493, 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, 21101, 236747, 1083, 236743, 236825, 236770, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236828, 236761, 236778, 236764, 623, 236748, 236800, 1083, 236743, 236810, 236828, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236778, 5237, 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, 21101, 236747, 1083, 236743, 236832, 236778, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 236748, 236800, 1083, 236743, 236825, 236800, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236828, 5237, 3714, 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, 21101, 236747, 1083, 236743, 236825, 236832, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236778, 236770, 236761, 236770, 236764, 623, 236748, 236800, 1083, 236743, 236810, 236810, 236764, 623, 1904, 236778, 1083, 236743, 236778, 236810, 5237, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236810, 236800, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236810, 236761, 236828, 236764, 623, 236748, 236800, 1083, 236743, 236812, 236819, 236764, 623, 1904, 236778, 1083, 236743, 236770, 236819, 5237, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 38109, 550, 1639, 1083, 3714, 3840, 236778, 236779, 236810, 1083, 236743, 236770, 236778, 236761, 236812, 236764, 623, 236748, 236800, 1083, 236743, 236812, 236778, 236764, 623, 1904, 236778, 1083, 236743, 236770, 236825, 79389, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 236787, 108, 1018, 23258, 28978, 50390, 53121, 107, 236772, 5213, 1882, 583, 1108, 236764, 101121, 531, 29918, 236764, 13187, 53121, 236743, 236810, 236810, 7635, 107, 236772, 5213, 122598, 17172, 7578, 53121, 236743, 236770, 6468, 236743, 236770, 236810, 4310, 4323, 564, 236772, 236832, 236771, 645, 107, 236772, 5213, 6870, 24118, 53121, 224924, 23305, 607, 11893, 8827, 108, 1018, 17995, 19779, 528, 29918, 568, 53666, 236743, 236778, 236812, 35174, 1473, 1018, 107, 236772, 5213, 35089, 95915, 236777, 53121, 236743, 236810, 236828, 568, 166920, 236768, 107, 236772, 5213, 85901, 95915, 236777, 53121, 236743, 236832, 236778, 568, 2805, 37841, 573, 13719, 4402, 657, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 236768, 107, 236772, 5213, 3503, 26809, 550, 1639, 53121, 107, 138, 236772, 8711, 236778, 236761, 236810, 236787, 630, 6628, 699, 236743, 236770, 236778, 236761, 236812, 236772, 236778, 236812, 236761, 236810, 5458, 236759, 236786, 236757, 239158, 107, 138, 236772, 155100, 236787, 236743, 236812, 236778, 236772, 236825, 236800, 185986, 107, 138, 236772, 95086, 169828, 236787, 236743, 236770, 236825, 236772, 236778, 236828, 185986, 108, 1018, 211199, 53121, 138, 107, 818, 21037, 95915, 236777, 12205, 20626, 2634, 3325, 6782, 236764, 840, 1966, 39252, 13719, 33972, 1913, 3718, 95915, 236777, 13443, 568, 236744, 236761, 236759, 1126, 5597, 3885, 1056, 8711, 236778, 236761, 236810, 691, 14723, 769, 669, 2822, 4301, 5149, 3590, 29918, 496, 28591, 10534, 4563, 607, 11893, 5203, 236772, 10619, 17446, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 28368, 786, 1586, 496, 9813, 8214, 573, 3043, 6050, 32123, 3173, 699, 23037, 236764, 2440, 6555, 573, 97950, 677, 2538, 569, 65124, 532, 66051, 607, 26135, 14403, 236761, 564, 1461, 531, 59638, 1041, 15028, 840, 1202, 18997, 8403, 573, 41346, 506, 97609, 532, 9380, 34894, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 34398, 1083, 78493, 3250, 1083, 623, 24834, 28728, 971, 2538, 569, 621, 236756, 236771, 236771, 236755, 236770, 236750, 2176, 827, 623, 25438, 1083, 11058, 3695, 31071, 631, 514, 653, 94534, 531, 7860, 236772, 11480, 5387, 10498, 623, 119137, 677, 2538, 6648, 532, 59681, 573, 236743, 236800, 236771, 236772, 236812, 236810, 9093, 810, 2678, 3097, 85404, 524, 532, 86322, 10498, 623, 36008, 531, 13392, 532, 2890, 607, 31225, 20182, 531, 13379, 573, 236743, 236770, 236771, 4310, 62192, 623, 89149, 1083, 11058, 854, 514, 827, 623, 2592, 23711, 827, 623, 115256, 152254, 3714, 3250, 1083, 623, 17449, 8146, 185967, 236772, 59591, 10116, 827, 623, 25438, 1083, 11058, 76503, 44685, 677, 2538, 607, 101667, 96210, 236764, 26135, 14403, 568, 236832, 236771, 236908, 110933, 779, 532, 47442, 10498, 623, 9028, 1042, 11711, 607, 12480, 71072, 532, 30387, 189944, 573, 236743, 236778, 236771, 4310, 10498, 623, 66649, 74184, 607, 510, 3961, 236755, 13703, 47169, 236793, 1138, 20684, 71618, 13950, 573, 16947, 8744, 62192, 623, 77095, 1083, 11058, 574, 2538, 569, 621, 236756, 236771, 236771, 236744, 236770, 236750, 2176, 827, 623, 158333, 14403, 827, 623, 236758, 3961, 236755, 13703, 827, 623, 50650, 71618, 13950, 99471, 1604, 623, 63875, 1083, 11058, 10896, 496, 72413, 607, 3188, 42549, 573, 7080, 25725, 10498, 623, 44364, 35226, 568, 128684, 236764, 123510, 236768, 1680, 66051, 531, 14051, 49333, 10498, 623, 175775, 11572, 236787, 7436, 7232, 563, 236743, 236800, 236787, 236778, 97609, 236772, 1071, 236772, 56986, 1781, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 33093, 8214, 531, 68632, 6050, 32123, 3173, 607, 18997, 18434, 7002, 236787, 108, 1018, 236770, 236761, 9824, 28728, 971, 2538, 569, 19542, 236750, 2176, 568, 10005, 232371, 11032, 62902, 107, 236772, 220283, 496, 631, 514, 653, 94534, 531, 7860, 236772, 11480, 5387, 107, 236772, 187986, 677, 2538, 573, 236743, 236800, 236771, 236772, 236812, 236810, 9093, 810, 2678, 3097, 85404, 524, 532, 86322, 568, 54670, 18830, 236768, 107, 236772, 32726, 528, 496, 7438, 13392, 607, 496, 31225, 20182, 573, 236743, 236770, 236771, 4310, 531, 14051, 44153, 1583, 107, 236772, 808, 1489, 6508, 149681, 22221, 38069, 236786, 112153, 573, 12725, 5387, 1984, 108, 1018, 236778, 236761, 172665, 199018, 42065, 1018, 107, 236772, 99603, 44685, 677, 2538, 607, 236787, 107, 138, 236772, 236743, 236770, 8578, 101667, 96210, 107, 138, 236772, 236743, 236778, 16109, 26135, 14403, 568, 236832, 236771, 236908, 110933, 10325, 236768, 107, 138, 236772, 236743, 236770, 72881, 3866, 47442, 107, 236772, 4508, 1042, 607, 236743, 236778, 27370, 12480, 71072, 532, 236743, 236770, 107072, 30387, 189944, 573, 236743, 236778, 236771, 4310, 107, 236772, 35593, 74184, 607, 510, 3961, 236755, 13703, 47169, 568, 3041, 607, 236743, 236770, 107072, 236768, 107, 236772, 4140, 20684, 71618, 13950, 81568, 72881, 657, 496, 990, 573, 16947, 8744, 108, 1018, 89740, 57939, 53121, 107, 236772, 6890, 1494, 236772, 36359, 72413, 568, 236847, 34948, 1205, 10325, 236768, 573, 85949, 7595, 107, 236772, 25068, 142513, 236786, 4685, 236747, 6981, 15003, 1680, 66051, 531, 28039, 20702, 49312, 107, 236772, 75133, 236743, 236800, 236787, 236778, 97609, 236772, 1071, 236772, 56986, 7232, 568, 35277, 14403, 236786, 89325, 141349, 236768, 107, 236772, 109679, 1343, 5851, 18990, 106483, 573, 9180, 236772, 15276, 25725, 108, 1018, 113793, 224863, 53121, 107, 236772, 14284, 1234, 634, 236881, 4140, 47041, 72881, 10445, 9792, 107, 236772, 34746, 11202, 236881, 4508, 1042, 4890, 653, 1138, 919, 30387, 107, 236772, 19704, 919, 16947, 236881, 61268, 606, 236743, 236770, 72881, 7921, 16947, 618, 24226, 6374, 108, 6481, 506, 16510, 1884, 24602, 573, 34894, 531, 5301, 236753, 236761, 1276, 31071, 29846, 1680, 12284, 607, 12480, 653, 11583, 3051, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 8214, 236761, 564, 236789, 236753, 1133, 531, 14051, 506, 58542, 529, 1041, 6050, 684, 73476, 6672, 13153, 236761, 28344, 611, 1161, 506, 3732, 9059, 5904, 531, 1586, 66756, 7021, 573, 26135, 236772, 50599, 110933, 532, 677, 2538, 569, 65124, 236881, 564, 1461, 531, 5330, 564, 236789, 236757, 1699, 21215, 1847, 531, 708, 1124, 40249, 28968, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 51015, 1083, 78493, 1201, 1083, 623, 236780, 25538, 827, 623, 96066, 236779, 1201, 1083, 623, 818, 982, 57063, 110933, 827, 623, 64915, 236779, 91873, 1083, 11058, 236806, 143204, 827, 623, 1659, 27357, 527, 827, 623, 7874, 63054, 14255, 623, 23184, 1083, 623, 174934, 62647, 6236, 11363, 531, 13251, 236764, 7436, 573, 24636, 6050, 23179, 3714, 1201, 1083, 623, 168033, 569, 621, 236756, 236771, 236771, 236755, 236770, 236750, 2176, 827, 623, 96066, 236779, 1201, 1083, 623, 68075, 62930, 2459, 12772, 827, 623, 64915, 236779, 91873, 1083, 11058, 236806, 143204, 827, 623, 8720, 140478, 14255, 623, 23184, 1083, 623, 158333, 187557, 6236, 5250, 573, 6672, 6050, 25938, 1604, 623, 30182, 1083, 78493, 31108, 1083, 623, 9264, 224607, 569, 7303, 2985, 569, 565, 25538, 21152, 26340, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 206906, 1083, 623, 99969, 236764, 15519, 17648, 23179, 3714, 31108, 1083, 623, 1659, 2538, 5185, 12929, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 206906, 1083, 623, 2209, 583, 82321, 15003, 236764, 13726, 10154, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 24636, 26135, 31831, 7021, 573, 6672, 6050, 32123, 3173, 236787, 108, 1018, 3503, 80225, 833, 85596, 53121, 107, 236770, 236761, 5213, 236780, 25538, 568, 174934, 62647, 6236, 62902, 107, 139, 236772, 808, 109642, 1463, 149681, 669, 982, 57063, 110933, 107, 139, 236772, 43899, 9576, 236787, 160724, 236764, 20439, 45187, 236764, 19633, 63054, 107, 139, 236772, 58731, 3738, 236787, 5213, 9264, 224607, 569, 7303, 2985, 569, 565, 25538, 21152, 26340, 1018, 568, 236806, 143204, 236768, 753, 37330, 833, 15519, 17648, 19743, 108, 236778, 236761, 5213, 168033, 569, 19542, 236750, 2176, 1018, 107, 139, 236772, 808, 109642, 1463, 149681, 46364, 62930, 2459, 12772, 107, 139, 236772, 43899, 9576, 236787, 160724, 236764, 197697, 107, 139, 236772, 58731, 3738, 236787, 5213, 1659, 2538, 5185, 152041, 1018, 568, 236806, 143204, 236768, 753, 189593, 82321, 15003, 833, 13726, 10154, 108, 1018, 150558, 15308, 53121, 107, 236772, 11696, 573, 623, 236780, 25538, 90599, 62647, 236775, 699, 708, 1124, 40249, 145408, 107, 236772, 73063, 623, 168033, 569, 19542, 236750, 2176, 708, 1124, 21482, 6650, 236775, 607, 8704, 9056, 2103, 569, 2408, 4151, 22902, 107, 236772, 73033, 8758, 6508, 236787, 43899, 708, 1124, 40249, 110933, 563, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 2344, 31374, 1082, 6635, 21215, 108, 1018, 111534, 7918, 53121, 107, 818, 1491, 44391, 1050, 1331, 529, 160724, 37155, 28196, 110933, 21556, 528, 30077, 6895, 236764, 837, 194842, 4709, 116457, 8687, 236761, 1701, 17029, 58542, 236764, 2864, 623, 236755, 25538, 696, 89609, 37888, 236775, 568, 34744, 28891, 236768, 4319, 1082, 18761, 33258, 236751, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 127389, 4889, 236761, 2282, 5330, 564, 236789, 236757, 21186, 24636, 708, 1124, 40249, 3211, 236764, 1451, 611, 2426, 573, 4596, 118252, 653, 3489, 8904, 600, 3371, 12967, 607, 1944, 236772, 7669, 22220, 529, 1239, 13153, 236881, 564, 236789, 236753, 1133, 531, 1894, 2263, 145408, 532, 16807, 6672, 6730, 10154, 1343, 1982, 7021, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236806, 1124, 40249, 236780, 25538, 827, 13659, 236780, 25538, 3321, 236806, 143204, 827, 13659, 158333, 236780, 25538, 827, 13659, 62622, 61071, 236780, 25538, 827, 13659, 63190, 236780, 25538, 827, 13659, 236806, 143204, 99969, 827, 13659, 236780, 25538, 2023, 2176, 827, 13659, 31728, 800, 89866, 827, 13659, 236806, 1124, 40249, 202880, 827, 13659, 24497, 28925, 236780, 25538, 14255, 623, 65141, 524, 236779, 197371, 1083, 11058, 236750, 236786, 236806, 1124, 40249, 236780, 109846, 827, 623, 236750, 236786, 62622, 61071, 16400, 827, 623, 236806, 1124, 40249, 168889, 743, 10981, 568, 33333, 6308, 22730, 623, 236780, 25538, 165514, 529, 14105, 13251, 568, 122211, 236768, 99471, 106, 107, 105, 4368, 107, 8291, 659, 27662, 5177, 27581, 531, 3371, 607, 708, 1124, 40249, 31831, 22220, 236787, 108, 1018, 51632, 8758, 161840, 4073, 531, 22177, 53121, 107, 236772, 997, 236806, 1124, 40249, 236780, 25538, 568, 236770, 236810, 236778, 236767, 12714, 236768, 1271, 30235, 507, 580, 6672, 58338, 4615, 107, 236772, 997, 236780, 25538, 3321, 236806, 143204, 568, 236828, 236819, 236767, 236768, 1271, 70731, 10969, 187557, 21215, 107, 236772, 997, 236780, 25538, 2023, 2176, 568, 236810, 236828, 236767, 236768, 1271, 27491, 569, 65124, 6730, 10154, 107, 236772, 997, 236806, 143204, 99969, 568, 236800, 236812, 236767, 236768, 1271, 50618, 10293, 145408, 107, 236772, 997, 31728, 800, 89866, 568, 236778, 236770, 236771, 236767, 236768, 1271, 5890, 5754, 110933, 12230, 108, 1018, 130269, 51041, 53121, 107, 236770, 236761, 5213, 214950, 53121, 236743, 107, 139, 236772, 637, 236786, 236806, 1124, 40249, 236780, 109846, 568, 236778, 236800, 236767, 3295, 236768, 1271, 29020, 1003, 623, 5930, 2985, 569, 110933, 696, 160724, 236775, 107, 139, 236772, 637, 236786, 62622, 61071, 16400, 568, 236770, 236828, 236767, 236768, 1271, 14450, 607, 30426, 73476, 44073, 108, 236778, 236761, 5213, 33333, 41534, 53121, 236743, 107, 139, 236772, 623, 236806, 1124, 40249, 168889, 743, 10981, 236775, 568, 236770, 236778, 236767, 3295, 236768, 1271, 5890, 9851, 531, 145408, 107, 139, 236772, 623, 236780, 25538, 165514, 529, 14105, 13251, 236775, 568, 114895, 2299, 607, 236743, 236812, 236810, 236771, 236862, 22220, 236768, 108, 236800, 236761, 5213, 122211, 10981, 53121, 236743, 107, 139, 236772, 623, 236780, 25538, 165514, 529, 14105, 13251, 236775, 1271, 23471, 13792, 607, 9350, 16810, 108, 1018, 87228, 42065, 53121, 107, 236770, 236761, 12808, 12714, 607, 997, 236806, 143204, 99969, 900, 997, 10176, 61071, 573, 174440, 7021, 107, 236778, 236761, 799, 8221, 4402, 236764, 2864, 623, 165873, 569, 759, 228956, 236775, 568, 48581, 6704, 236768, 532, 623, 1045, 73966, 569, 28196, 2103, 236775, 107, 236800, 236761, 11696, 573, 623, 22472, 9056, 2103, 569, 2408, 4151, 236775, 22902, 42298, 528, 20183, 107, 236812, 236761, 29020, 1003, 623, 2896, 21800, 20899, 2879, 527, 236775, 568, 499, 583, 82321, 15003, 236768, 7728, 16217, 21215, 108, 1018, 1489, 42272, 53121, 236743, 107, 22163, 506, 623, 236806, 1124, 40249, 168889, 743, 10981, 236775, 8221, 2299, 532, 3927, 573, 623, 36317, 13153, 236775, 1271, 1551, 145408, 1868, 14919, 12496, 532, 2729, 9144, 26931, 236761, 3026, 39389, 22220, 236764, 5577, 506, 623, 9264, 224607, 569, 7303, 2985, 569, 565, 25538, 21152, 26340, 236775, 3707, 6950, 6517, 531, 2016, 5210, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 28368, 786, 1586, 496, 9813, 8214, 573, 3043, 6050, 32123, 3173, 699, 23037, 236764, 2440, 6555, 573, 97950, 677, 2538, 569, 65124, 532, 66051, 607, 26135, 14403, 236761, 564, 1461, 531, 59638, 1041, 15028, 840, 1202, 18997, 8403, 573, 41346, 506, 97609, 532, 9380, 34894, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 34398, 1083, 78493, 3250, 1083, 623, 24834, 28728, 971, 2538, 569, 621, 236756, 236771, 236771, 236755, 236770, 236750, 2176, 827, 623, 25438, 1083, 11058, 3695, 31071, 631, 514, 653, 94534, 531, 7860, 236772, 11480, 5387, 10498, 623, 119137, 677, 2538, 6648, 532, 59681, 573, 236743, 236800, 236771, 236772, 236812, 236810, 9093, 810, 2678, 3097, 85404, 524, 532, 86322, 10498, 623, 36008, 531, 13392, 532, 2890, 607, 31225, 20182, 531, 13379, 573, 236743, 236770, 236771, 4310, 62192, 623, 89149, 1083, 11058, 854, 514, 827, 623, 2592, 23711, 827, 623, 115256, 152254, 3714, 3250, 1083, 623, 17449, 8146, 185967, 236772, 59591, 10116, 827, 623, 25438, 1083, 11058, 76503, 44685, 677, 2538, 607, 101667, 96210, 236764, 26135, 14403, 568, 236832, 236771, 236908, 110933, 779, 532, 47442, 10498, 623, 9028, 1042, 11711, 607, 12480, 71072, 532, 30387, 189944, 573, 236743, 236778, 236771, 4310, 10498, 623, 66649, 74184, 607, 510, 3961, 236755, 13703, 47169, 236793, 1138, 20684, 71618, 13950, 573, 16947, 8744, 62192, 623, 77095, 1083, 11058, 574, 2538, 569, 621, 236756, 236771, 236771, 236744, 236770, 236750, 2176, 827, 623, 158333, 14403, 827, 623, 236758, 3961, 236755, 13703, 827, 623, 50650, 71618, 13950, 99471, 1604, 623, 63875, 1083, 11058, 10896, 496, 72413, 607, 3188, 42549, 573, 7080, 25725, 10498, 623, 44364, 35226, 568, 128684, 236764, 123510, 236768, 1680, 66051, 531, 14051, 49333, 10498, 623, 175775, 11572, 236787, 7436, 7232, 563, 236743, 236800, 236787, 236778, 97609, 236772, 1071, 236772, 56986, 1781, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 33093, 8214, 531, 68632, 6050, 32123, 3173, 607, 18997, 18434, 7002, 236787, 108, 1018, 236770, 236761, 9824, 28728, 971, 2538, 569, 19542, 236750, 2176, 568, 10005, 232371, 11032, 62902, 107, 236772, 220283, 496, 631, 514, 653, 94534, 531, 7860, 236772, 11480, 5387, 107, 236772, 187986, 677, 2538, 573, 236743, 236800, 236771, 236772, 236812, 236810, 9093, 810, 2678, 3097, 85404, 524, 532, 86322, 568, 54670, 18830, 236768, 107, 236772, 32726, 528, 496, 7438, 13392, 607, 496, 31225, 20182, 573, 236743, 236770, 236771, 4310, 531, 14051, 44153, 1583, 107, 236772, 808, 1489, 6508, 149681, 22221, 38069, 236786, 112153, 573, 12725, 5387, 1984, 108, 1018, 236778, 236761, 172665, 199018, 42065, 1018, 107, 236772, 99603, 44685, 677, 2538, 607, 236787, 107, 138, 236772, 236743, 236770, 8578, 101667, 96210, 107, 138, 236772, 236743, 236778, 16109, 26135, 14403, 568, 236832, 236771, 236908, 110933, 10325, 236768, 107, 138, 236772, 236743, 236770, 72881, 3866, 47442, 107, 236772, 4508, 1042, 607, 236743, 236778, 27370, 12480, 71072, 532, 236743, 236770, 107072, 30387, 189944, 573, 236743, 236778, 236771, 4310, 107, 236772, 35593, 74184, 607, 510, 3961, 236755, 13703, 47169, 568, 3041, 607, 236743, 236770, 107072, 236768, 107, 236772, 4140, 20684, 71618, 13950, 81568, 72881, 657, 496, 990, 573, 16947, 8744, 108, 1018, 89740, 57939, 53121, 107, 236772, 6890, 1494, 236772, 36359, 72413, 568, 236847, 34948, 1205, 10325, 236768, 573, 85949, 7595, 107, 236772, 25068, 142513, 236786, 4685, 236747, 6981, 15003, 1680, 66051, 531, 28039, 20702, 49312, 107, 236772, 75133, 236743, 236800, 236787, 236778, 97609, 236772, 1071, 236772, 56986, 7232, 568, 35277, 14403, 236786, 89325, 141349, 236768, 107, 236772, 109679, 1343, 5851, 18990, 106483, 573, 9180, 236772, 15276, 25725, 108, 1018, 113793, 224863, 53121, 107, 236772, 14284, 1234, 634, 236881, 4140, 47041, 72881, 10445, 9792, 107, 236772, 34746, 11202, 236881, 4508, 1042, 4890, 653, 1138, 919, 30387, 107, 236772, 19704, 919, 16947, 236881, 61268, 606, 236743, 236770, 72881, 7921, 16947, 618, 24226, 6374, 108, 6481, 506, 16510, 1884, 24602, 573, 34894, 531, 5301, 236753, 236761, 1276, 31071, 29846, 1680, 12284, 607, 12480, 653, 11583, 3051, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 8214, 236761, 564, 236789, 236753, 1133, 531, 14051, 506, 58542, 529, 1041, 6050, 684, 73476, 6672, 13153, 236761, 28344, 611, 1161, 506, 3732, 9059, 5904, 531, 1586, 66756, 7021, 573, 26135, 236772, 50599, 110933, 532, 677, 2538, 569, 65124, 236881, 564, 1461, 531, 5330, 564, 236789, 236757, 1699, 21215, 1847, 531, 708, 1124, 40249, 28968, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 51015, 1083, 78493, 1201, 1083, 623, 236780, 25538, 827, 623, 96066, 236779, 1201, 1083, 623, 818, 982, 57063, 110933, 827, 623, 64915, 236779, 91873, 1083, 11058, 236806, 143204, 827, 623, 1659, 27357, 527, 827, 623, 7874, 63054, 14255, 623, 23184, 1083, 623, 174934, 62647, 6236, 11363, 531, 13251, 236764, 7436, 573, 24636, 6050, 23179, 3714, 1201, 1083, 623, 168033, 569, 621, 236756, 236771, 236771, 236755, 236770, 236750, 2176, 827, 623, 96066, 236779, 1201, 1083, 623, 68075, 62930, 2459, 12772, 827, 623, 64915, 236779, 91873, 1083, 11058, 236806, 143204, 827, 623, 8720, 140478, 14255, 623, 23184, 1083, 623, 158333, 187557, 6236, 5250, 573, 6672, 6050, 25938, 1604, 623, 30182, 1083, 78493, 31108, 1083, 623, 9264, 224607, 569, 7303, 2985, 569, 565, 25538, 21152, 26340, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 206906, 1083, 623, 99969, 236764, 15519, 17648, 23179, 3714, 31108, 1083, 623, 1659, 2538, 5185, 12929, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 827, 623, 13647, 1083, 623, 236806, 143204, 827, 623, 206906, 1083, 623, 2209, 583, 82321, 15003, 236764, 13726, 10154, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 24636, 26135, 31831, 7021, 573, 6672, 6050, 32123, 3173, 236787, 108, 1018, 3503, 80225, 833, 85596, 53121, 107, 236770, 236761, 5213, 236780, 25538, 568, 174934, 62647, 6236, 62902, 107, 139, 236772, 808, 109642, 1463, 149681, 669, 982, 57063, 110933, 107, 139, 236772, 43899, 9576, 236787, 160724, 236764, 20439, 45187, 236764, 19633, 63054, 107, 139, 236772, 58731, 3738, 236787, 5213, 9264, 224607, 569, 7303, 2985, 569, 565, 25538, 21152, 26340, 1018, 568, 236806, 143204, 236768, 753, 37330, 833, 15519, 17648, 19743, 108, 236778, 236761, 5213, 168033, 569, 19542, 236750, 2176, 1018, 107, 139, 236772, 808, 109642, 1463, 149681, 46364, 62930, 2459, 12772, 107, 139, 236772, 43899, 9576, 236787, 160724, 236764, 197697, 107, 139, 236772, 58731, 3738, 236787, 5213, 1659, 2538, 5185, 152041, 1018, 568, 236806, 143204, 236768, 753, 189593, 82321, 15003, 833, 13726, 10154, 108, 1018, 150558, 15308, 53121, 107, 236772, 11696, 573, 623, 236780, 25538, 90599, 62647, 236775, 699, 708, 1124, 40249, 145408, 107, 236772, 73063, 623, 168033, 569, 19542, 236750, 2176, 708, 1124, 21482, 6650, 236775, 607, 8704, 9056, 2103, 569, 2408, 4151, 22902, 107, 236772, 73033, 8758, 6508, 236787, 43899, 708, 1124, 40249, 110933, 563, 236743, 236800, 236771, 236772, 236812, 236771, 236908, 2344, 31374, 1082, 6635, 21215, 108, 1018, 111534, 7918, 53121, 107, 818, 1491, 44391, 1050, 1331, 529, 160724, 37155, 28196, 110933, 21556, 528, 30077, 6895, 236764, 837, 194842, 4709, 116457, 8687, 236761, 1701, 17029, 58542, 236764, 2864, 623, 236755, 25538, 696, 89609, 37888, 236775, 568, 34744, 28891, 236768, 4319, 1082, 18761, 33258, 236751, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 127389, 4889, 236761, 2282, 5330, 564, 236789, 236757, 21186, 24636, 708, 1124, 40249, 3211, 236764, 1451, 611, 2426, 573, 4596, 118252, 653, 3489, 8904, 600, 3371, 12967, 607, 1944, 236772, 7669, 22220, 529, 1239, 13153, 236881, 564, 236789, 236753, 1133, 531, 1894, 2263, 145408, 532, 16807, 6672, 6730, 10154, 1343, 1982, 7021, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236806, 1124, 40249, 236780, 25538, 827, 13659, 236780, 25538, 3321, 236806, 143204, 827, 13659, 158333, 236780, 25538, 827, 13659, 62622, 61071, 236780, 25538, 827, 13659, 63190, 236780, 25538, 827, 13659, 236806, 143204, 99969, 827, 13659, 236780, 25538, 2023, 2176, 827, 13659, 31728, 800, 89866, 827, 13659, 236806, 1124, 40249, 202880, 827, 13659, 24497, 28925, 236780, 25538, 14255, 623, 65141, 524, 236779, 197371, 1083, 11058, 236750, 236786, 236806, 1124, 40249, 236780, 109846, 827, 623, 236750, 236786, 62622, 61071, 16400, 827, 623, 236806, 1124, 40249, 168889, 743, 10981, 568, 33333, 6308, 22730, 623, 236780, 25538, 165514, 529, 14105, 13251, 568, 122211, 236768, 99471, 106, 107, 105, 4368, 107, 8291, 659, 27662, 5177, 27581, 531, 3371, 607, 708, 1124, 40249, 31831, 22220, 236787, 108, 1018, 51632, 8758, 161840, 4073, 531, 22177, 53121, 107, 236772, 997, 236806, 1124, 40249, 236780, 25538, 568, 236770, 236810, 236778, 236767, 12714, 236768, 1271, 30235, 507, 580, 6672, 58338, 4615, 107, 236772, 997, 236780, 25538, 3321, 236806, 143204, 568, 236828, 236819, 236767, 236768, 1271, 70731, 10969, 187557, 21215, 107, 236772, 997, 236780, 25538, 2023, 2176, 568, 236810, 236828, 236767, 236768, 1271, 27491, 569, 65124, 6730, 10154, 107, 236772, 997, 236806, 143204, 99969, 568, 236800, 236812, 236767, 236768, 1271, 50618, 10293, 145408, 107, 236772, 997, 31728, 800, 89866, 568, 236778, 236770, 236771, 236767, 236768, 1271, 5890, 5754, 110933, 12230, 108, 1018, 130269, 51041, 53121, 107, 236770, 236761, 5213, 214950, 53121, 236743, 107, 139, 236772, 637, 236786, 236806, 1124, 40249, 236780, 109846, 568, 236778, 236800, 236767, 3295, 236768, 1271, 29020, 1003, 623, 5930, 2985, 569, 110933, 696, 160724, 236775, 107, 139, 236772, 637, 236786, 62622, 61071, 16400, 568, 236770, 236828, 236767, 236768, 1271, 14450, 607, 30426, 73476, 44073, 108, 236778, 236761, 5213, 33333, 41534, 53121, 236743, 107, 139, 236772, 623, 236806, 1124, 40249, 168889, 743, 10981, 236775, 568, 236770, 236778, 236767, 3295, 236768, 1271, 5890, 9851, 531, 145408, 107, 139, 236772, 623, 236780, 25538, 165514, 529, 14105, 13251, 236775, 568, 114895, 2299, 607, 236743, 236812, 236810, 236771, 236862, 22220, 236768, 108, 236800, 236761, 5213, 122211, 10981, 53121, 236743, 107, 139, 236772, 623, 236780, 25538, 165514, 529, 14105, 13251, 236775, 1271, 23471, 13792, 607, 9350, 16810, 108, 1018, 87228, 42065, 53121, 107, 236770, 236761, 12808, 12714, 607, 997, 236806, 143204, 99969, 900, 997, 10176, 61071, 573, 174440, 7021, 107, 236778, 236761, 799, 8221, 4402, 236764, 2864, 623, 165873, 569, 759, 228956, 236775, 568, 48581, 6704, 236768, 532, 623, 1045, 73966, 569, 28196, 2103, 236775, 107, 236800, 236761, 11696, 573, 623, 22472, 9056, 2103, 569, 2408, 4151, 236775, 22902, 42298, 528, 20183, 107, 236812, 236761, 29020, 1003, 623, 2896, 21800, 20899, 2879, 527, 236775, 568, 499, 583, 82321, 15003, 236768, 7728, 16217, 21215, 108, 1018, 1489, 42272, 53121, 236743, 107, 22163, 506, 623, 236806, 1124, 40249, 168889, 743, 10981, 236775, 8221, 2299, 532, 3927, 573, 623, 36317, 13153, 236775, 1271, 1551, 145408, 1868, 14919, 12496, 532, 2729, 9144, 26931, 236761, 3026, 39389, 22220, 236764, 5577, 506, 623, 9264, 224607, 569, 7303, 2985, 569, 565, 25538, 21152, 26340, 236775, 3707, 6950, 6517, 531, 2016, 5210, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 54909, 160800, 4083, 573, 614, 1610, 2203, 13696, 684, 34499, 129379, 38125, 236761, 3199, 611, 1601, 786, 1586, 236787, 236743, 236770, 236768, 562, 1694, 529, 34499, 129379, 134865, 36665, 236743, 236778, 236768, 669, 26424, 19161, 8735, 529, 496, 3530, 38709, 699, 600, 1694, 236743, 236800, 236768, 9963, 4133, 48579, 4083, 236881, 9187, 684, 16329, 36665, 699, 1041, 73902, 753, 1041, 763, 17966, 2462, 1176, 4249, 8784, 528, 1023, 4806, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 574, 8477, 1083, 78493, 144645, 1083, 623, 236788, 77938, 25397, 827, 623, 19458, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 47283, 1083, 623, 110295, 8377, 827, 623, 14801, 1083, 623, 162890, 43008, 827, 623, 1999, 1083, 623, 234869, 23172, 827, 623, 28282, 74199, 1083, 236743, 236770, 236778, 236764, 623, 76339, 1083, 236743, 236810, 1263, 3714, 144645, 1083, 623, 60526, 44554, 827, 623, 19458, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 47283, 1083, 623, 116379, 827, 623, 14801, 1083, 623, 162890, 43008, 827, 623, 1999, 1083, 623, 234869, 23172, 827, 623, 28282, 74199, 1083, 236743, 236819, 236764, 623, 76339, 1083, 236743, 236800, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 23184, 1083, 623, 22186, 38125, 992, 2768, 34499, 129379, 4559, 4249, 8735, 236761, 48756, 19161, 14906, 2487, 3324, 2864, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 144645, 1083, 623, 236788, 77938, 25397, 827, 623, 14801, 236779, 3970, 1083, 623, 7719, 827, 623, 8970, 598, 236779, 35680, 236779, 2289, 1083, 623, 236770, 236787, 236812, 236778, 236761, 236800, 236812, 236810, 827, 623, 42255, 236779, 1201, 1083, 623, 23243, 22424, 27379, 827, 623, 19458, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 50239, 1083, 623, 3713, 236785, 236756, 236771, 236771, 236760, 236800, 236753, 32197, 55355, 569, 34499, 43008, 827, 623, 1896, 236779, 100443, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 6725, 236779, 53247, 1083, 236743, 236770, 236764, 623, 3278, 236779, 19031, 1083, 3714, 144645, 1083, 623, 236788, 77938, 25397, 23179, 623, 1516, 236779, 6265, 1083, 623, 234869, 23172, 34641, 22204, 566, 236812, 236761, 236778, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 3771, 48579, 2536, 1765, 573, 506, 9155, 38709, 653, 2891, 827, 623, 13308, 1083, 3714, 144645, 1083, 623, 236788, 77938, 25397, 827, 623, 14801, 1083, 15437, 623, 4375, 1083, 623, 818, 7948, 6097, 951, 134865, 48579, 8735, 573, 38709, 756, 236788, 77938, 25397, 6748, 21284, 611, 1133, 531, 3927, 684, 2891, 3393, 5205, 236881, 34499, 43008, 236789, 236751, 38125, 11082, 20811, 1208, 506, 8288, 568, 27211, 4184, 236768, 8134, 528, 5251, 160800, 12669, 1781, 1807, 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, 14801, 1083, 623, 46456, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 2891, 3393, 236764, 2506, 756, 3118, 6748, 1701, 34499, 43008, 236764, 1161, 756, 7719, 145352, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 144645, 1083, 623, 236788, 77938, 25397, 563, 711, 496, 12659, 134865, 38709, 827, 623, 14801, 1083, 623, 7719, 563, 711, 496, 4341, 134865, 22765, 2891, 3393, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 14801, 1083, 623, 46456, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 2891, 3393, 573, 34499, 43008, 568, 7719, 779, 2506, 2590, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 993, 236789, 236751, 496, 8330, 97592, 528, 1217, 34499, 129379, 38125, 659, 74252, 3418, 1607, 134865, 32542, 236761, 5978, 506, 36665, 3927, 43631, 34499, 43008, 568, 7719, 779, 506, 48579, 8735, 3196, 531, 577, 11628, 1208, 506, 3640, 4184, 568, 3118, 236768, 8134, 2779, 531, 34499, 43008, 236789, 236751, 5255, 4981, 528, 5251, 8568, 236761, 3792, 786, 1601, 81715, 672, 236787, 108, 236770, 236761, 5213, 162890, 129379, 134865, 30086, 1018, 138, 107, 139, 236772, 5213, 236788, 77938, 25397, 1018, 568, 236778, 236771, 236778, 236778, 58368, 236764, 236743, 236810, 18779, 236764, 236743, 236770, 236778, 48579, 236751, 236768, 138, 107, 139, 236772, 5213, 60526, 44554, 1018, 568, 236778, 236771, 236770, 236828, 31171, 236764, 236743, 236800, 18779, 236764, 236743, 236819, 48579, 236751, 236768, 138, 108, 236778, 236761, 5213, 37568, 598, 29126, 19558, 1018, 138, 107, 139, 236788, 77938, 25397, 9258, 506, 26424, 19161, 657, 34499, 43008, 236789, 236751, 3919, 207498, 55355, 568, 236770, 236787, 236812, 236778, 236761, 236800, 236812, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 5054, 22424, 27379, 769, 108, 236800, 236761, 5213, 25998, 1940, 10358, 32115, 1018, 138, 107, 139, 818, 1458, 11802, 34369, 573, 48579, 236751, 1208, 1800, 623, 7719, 236775, 532, 623, 3118, 236775, 22680, 573, 1239, 38125, 236761, 1174, 1149, 7495, 236787, 138, 107, 139, 236772, 5774, 193439, 4342, 568, 162890, 43008, 3187, 135766, 1208, 506, 2590, 8134, 528, 5251, 160800, 236768, 138, 107, 139, 236772, 667, 2786, 528, 11858, 8735, 573, 34499, 129379, 38125, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236772, 15325, 9302, 3927, 6137, 236881, 138, 107, 236772, 12713, 236772, 30449, 607, 1032, 160800, 34438, 236881, 138, 107, 236772, 39525, 14984, 580, 57416, 134865, 48531, 5467, 236881, 138, 108, 11069, 763, 17966, 236789, 236751, 52097, 1003, 623, 11243, 528, 506, 4806, 236775, 563, 33348, 1271, 1239, 38125, 8207, 75340, 600, 7304, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 54909, 160800, 4083, 573, 614, 1610, 2203, 13696, 684, 34499, 129379, 38125, 236761, 3199, 611, 1601, 786, 1586, 236787, 236743, 236770, 236768, 562, 1694, 529, 34499, 129379, 134865, 36665, 236743, 236778, 236768, 669, 26424, 19161, 8735, 529, 496, 3530, 38709, 699, 600, 1694, 236743, 236800, 236768, 9963, 4133, 48579, 4083, 236881, 9187, 684, 16329, 36665, 699, 1041, 73902, 753, 1041, 763, 17966, 2462, 1176, 4249, 8784, 528, 1023, 4806, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 574, 8477, 1083, 78493, 144645, 1083, 623, 236788, 77938, 25397, 827, 623, 19458, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 47283, 1083, 623, 110295, 8377, 827, 623, 14801, 1083, 623, 162890, 43008, 827, 623, 1999, 1083, 623, 234869, 23172, 827, 623, 28282, 74199, 1083, 236743, 236770, 236778, 236764, 623, 76339, 1083, 236743, 236810, 1263, 3714, 144645, 1083, 623, 60526, 44554, 827, 623, 19458, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 47283, 1083, 623, 116379, 827, 623, 14801, 1083, 623, 162890, 43008, 827, 623, 1999, 1083, 623, 234869, 23172, 827, 623, 28282, 74199, 1083, 236743, 236819, 236764, 623, 76339, 1083, 236743, 236800, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 23184, 1083, 623, 22186, 38125, 992, 2768, 34499, 129379, 4559, 4249, 8735, 236761, 48756, 19161, 14906, 2487, 3324, 2864, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 144645, 1083, 623, 236788, 77938, 25397, 827, 623, 14801, 236779, 3970, 1083, 623, 7719, 827, 623, 8970, 598, 236779, 35680, 236779, 2289, 1083, 623, 236770, 236787, 236812, 236778, 236761, 236800, 236812, 236810, 827, 623, 42255, 236779, 1201, 1083, 623, 23243, 22424, 27379, 827, 623, 19458, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 50239, 1083, 623, 3713, 236785, 236756, 236771, 236771, 236760, 236800, 236753, 32197, 55355, 569, 34499, 43008, 827, 623, 1896, 236779, 100443, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 6725, 236779, 53247, 1083, 236743, 236770, 236764, 623, 3278, 236779, 19031, 1083, 3714, 144645, 1083, 623, 236788, 77938, 25397, 23179, 623, 1516, 236779, 6265, 1083, 623, 234869, 23172, 34641, 22204, 566, 236812, 236761, 236778, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 3771, 48579, 2536, 1765, 573, 506, 9155, 38709, 653, 2891, 827, 623, 13308, 1083, 3714, 144645, 1083, 623, 236788, 77938, 25397, 827, 623, 14801, 1083, 15437, 623, 4375, 1083, 623, 818, 7948, 6097, 951, 134865, 48579, 8735, 573, 38709, 756, 236788, 77938, 25397, 6748, 21284, 611, 1133, 531, 3927, 684, 2891, 3393, 5205, 236881, 34499, 43008, 236789, 236751, 38125, 11082, 20811, 1208, 506, 8288, 568, 27211, 4184, 236768, 8134, 528, 5251, 160800, 12669, 1781, 1807, 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, 14801, 1083, 623, 46456, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 2891, 3393, 236764, 2506, 756, 3118, 6748, 1701, 34499, 43008, 236764, 1161, 756, 7719, 145352, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 144645, 1083, 623, 236788, 77938, 25397, 563, 711, 496, 12659, 134865, 38709, 827, 623, 14801, 1083, 623, 7719, 563, 711, 496, 4341, 134865, 22765, 2891, 3393, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 14801, 1083, 623, 46456, 22977, 236743, 236800, 236770, 236825, 236825, 236772, 236770, 14434, 236772, 236778, 2891, 3393, 573, 34499, 43008, 568, 7719, 779, 2506, 2590, 236775, 19465, 106, 107, 105, 4368, 107, 1509, 5072, 993, 236789, 236751, 496, 8330, 97592, 528, 1217, 34499, 129379, 38125, 659, 74252, 3418, 1607, 134865, 32542, 236761, 5978, 506, 36665, 3927, 43631, 34499, 43008, 568, 7719, 779, 506, 48579, 8735, 3196, 531, 577, 11628, 1208, 506, 3640, 4184, 568, 3118, 236768, 8134, 2779, 531, 34499, 43008, 236789, 236751, 5255, 4981, 528, 5251, 8568, 236761, 3792, 786, 1601, 81715, 672, 236787, 108, 236770, 236761, 5213, 162890, 129379, 134865, 30086, 1018, 138, 107, 139, 236772, 5213, 236788, 77938, 25397, 1018, 568, 236778, 236771, 236778, 236778, 58368, 236764, 236743, 236810, 18779, 236764, 236743, 236770, 236778, 48579, 236751, 236768, 138, 107, 139, 236772, 5213, 60526, 44554, 1018, 568, 236778, 236771, 236770, 236828, 31171, 236764, 236743, 236800, 18779, 236764, 236743, 236819, 48579, 236751, 236768, 138, 108, 236778, 236761, 5213, 37568, 598, 29126, 19558, 1018, 138, 107, 139, 236788, 77938, 25397, 9258, 506, 26424, 19161, 657, 34499, 43008, 236789, 236751, 3919, 207498, 55355, 568, 236770, 236787, 236812, 236778, 236761, 236800, 236812, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 5054, 22424, 27379, 769, 108, 236800, 236761, 5213, 25998, 1940, 10358, 32115, 1018, 138, 107, 139, 818, 1458, 11802, 34369, 573, 48579, 236751, 1208, 1800, 623, 7719, 236775, 532, 623, 3118, 236775, 22680, 573, 1239, 38125, 236761, 1174, 1149, 7495, 236787, 138, 107, 139, 236772, 5774, 193439, 4342, 568, 162890, 43008, 3187, 135766, 1208, 506, 2590, 8134, 528, 5251, 160800, 236768, 138, 107, 139, 236772, 667, 2786, 528, 11858, 8735, 573, 34499, 129379, 38125, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236772, 15325, 9302, 3927, 6137, 236881, 138, 107, 236772, 12713, 236772, 30449, 607, 1032, 160800, 34438, 236881, 138, 107, 236772, 39525, 14984, 580, 57416, 134865, 48531, 5467, 236881, 138, 108, 11069, 763, 17966, 236789, 236751, 52097, 1003, 623, 11243, 528, 506, 4806, 236775, 563, 33348, 1271, 1239, 38125, 8207, 75340, 600, 7304, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6514, 872, 496, 861, 4430, 2881, 532, 1202, 531, 18855, 506, 3421, 236761, 669, 206242, 563, 236743, 236819, 236771, 236771, 236770, 236778, 532, 3155, 1548, 563, 236743, 236770, 236778, 236800, 236812, 236761, 5315, 236764, 564, 1202, 531, 9128, 506, 3207, 1463, 573, 236743, 236819, 236771, 236771, 236770, 236778, 236761, 7323, 1161, 506, 3927, 236779, 53343, 5904, 607, 13138, 756, 3274, 3970, 236784, 236819, 236771, 236771, 236770, 236778, 236789, 531, 974, 506, 3207, 236761, 4298, 236764, 1161, 506, 14017, 236779, 236766, 236770, 236779, 93862, 5904, 607, 206242, 236743, 236819, 236771, 236771, 236770, 236778, 532, 3155, 1548, 236743, 236770, 236778, 236800, 236812, 531, 18855, 506, 3421, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 18939, 13245, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 3970, 1083, 623, 236819, 236771, 236771, 236770, 236778, 827, 623, 164158, 501, 2286, 1083, 623, 236770, 236778, 236800, 236812, 827, 623, 164158, 24626, 1962, 37674, 1083, 623, 236799, 827, 623, 13319, 1083, 623, 18939, 13245, 827, 623, 30419, 1083, 623, 7765, 6718, 827, 623, 3255, 1083, 623, 5635, 827, 623, 14801, 1083, 623, 18038, 827, 623, 4818, 1083, 623, 4730, 25938, 106, 107, 105, 4368, 107, 818, 3421, 18256, 815, 1010, 7723, 10428, 236761, 5715, 659, 506, 4889, 236787, 108, 236772, 5213, 7118, 3970, 66515, 236743, 236819, 236771, 236771, 236770, 236778, 138, 107, 236772, 5213, 28203, 9661, 66515, 236743, 236770, 236778, 236800, 236812, 236772, 236799, 138, 107, 236772, 5213, 17698, 66515, 7383, 13245, 138, 107, 236772, 5213, 40703, 66515, 6400, 6718, 138, 107, 236772, 5213, 3112, 66515, 8253, 138, 107, 236772, 5213, 27969, 66515, 8288, 138, 107, 236772, 5213, 37327, 18365, 66515, 30638, 138, 108, 818, 3421, 563, 10778, 618, 4341, 573, 506, 3847, 206242, 532, 3155, 1548, 236761, 1599, 1149, 7162, 607, 6514, 872, 506, 4430, 2881, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6514, 872, 496, 861, 4430, 2881, 532, 1202, 531, 18855, 506, 3421, 236761, 669, 206242, 563, 236743, 236819, 236771, 236771, 236770, 236778, 532, 3155, 1548, 563, 236743, 236770, 236778, 236800, 236812, 236761, 5315, 236764, 564, 1202, 531, 9128, 506, 3207, 1463, 573, 236743, 236819, 236771, 236771, 236770, 236778, 236761, 7323, 1161, 506, 3927, 236779, 53343, 5904, 607, 13138, 756, 3274, 3970, 236784, 236819, 236771, 236771, 236770, 236778, 236789, 531, 974, 506, 3207, 236761, 4298, 236764, 1161, 506, 14017, 236779, 236766, 236770, 236779, 93862, 5904, 607, 206242, 236743, 236819, 236771, 236771, 236770, 236778, 532, 3155, 1548, 236743, 236770, 236778, 236800, 236812, 531, 18855, 506, 3421, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 18939, 13245, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 3970, 1083, 623, 236819, 236771, 236771, 236770, 236778, 827, 623, 164158, 501, 2286, 1083, 623, 236770, 236778, 236800, 236812, 827, 623, 164158, 24626, 1962, 37674, 1083, 623, 236799, 827, 623, 13319, 1083, 623, 18939, 13245, 827, 623, 30419, 1083, 623, 7765, 6718, 827, 623, 3255, 1083, 623, 5635, 827, 623, 14801, 1083, 623, 18038, 827, 623, 4818, 1083, 623, 4730, 25938, 106, 107, 105, 4368, 107, 818, 3421, 18256, 815, 1010, 7723, 10428, 236761, 5715, 659, 506, 4889, 236787, 108, 236772, 5213, 7118, 3970, 66515, 236743, 236819, 236771, 236771, 236770, 236778, 138, 107, 236772, 5213, 28203, 9661, 66515, 236743, 236770, 236778, 236800, 236812, 236772, 236799, 138, 107, 236772, 5213, 17698, 66515, 7383, 13245, 138, 107, 236772, 5213, 40703, 66515, 6400, 6718, 138, 107, 236772, 5213, 3112, 66515, 8253, 138, 107, 236772, 5213, 27969, 66515, 8288, 138, 107, 236772, 5213, 37327, 18365, 66515, 30638, 138, 108, 818, 3421, 563, 10778, 618, 4341, 573, 506, 3847, 206242, 532, 3155, 1548, 236761, 1599, 1149, 7162, 607, 6514, 872, 506, 4430, 2881, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 6655, 1938, 236764, 1288, 618, 67896, 2862, 6527, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 607, 2613, 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 ]
[ 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, 6655, 1938, 236764, 1288, 618, 67896, 2862, 6527, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 607, 2613, 1663, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 2459, 12350, 15003, 532, 121188, 3025, 573, 1041, 34499, 129379, 12878, 15028, 236761, 9187, 684, 19460, 9593, 573, 2459, 12350, 15003, 607, 496, 236743, 236812, 236761, 236810, 236862, 14470, 1208, 609, 236770, 236771, 236761, 1637, 611, 1586, 3835, 5395, 1724, 13138, 236764, 5433, 506, 7310, 236772, 7577, 886, 532, 1299, 3927, 573, 623, 814, 1145, 3025, 236775, 2148, 236761, 1637, 993, 659, 951, 5756, 121188, 3025, 3835, 1208, 609, 236770, 236771, 528, 506, 2536, 236764, 6253, 506, 3927, 531, 3204, 623, 82028, 121188, 3025, 1781, 9920, 611, 735, 506, 1791, 12853, 573, 1800, 4852, 236764, 1138, 910, 6527, 531, 2583, 786, 506, 2558, 2157, 236761, 6890, 506, 9593, 3927, 5904, 573, 1546, 2918, 532, 2016, 580, 506, 3527, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 99969, 7657, 12350, 81050, 236764, 236743, 236770, 25064, 753, 14795, 10353, 134434, 532, 20273, 522, 573, 34499, 129379, 32494, 827, 623, 9707, 1083, 6610, 236828, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 623, 39460, 23179, 3714, 3250, 1083, 623, 23524, 12350, 81050, 236764, 236743, 236828, 16109, 753, 667, 30548, 827, 623, 9707, 1083, 6610, 236810, 236761, 236812, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 623, 236823, 30548, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 3250, 1083, 623, 236823, 30548, 1593, 1145, 3025, 236764, 236743, 236770, 236778, 16109, 827, 623, 9707, 1083, 6610, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 3250, 1083, 623, 6700, 8292, 1593, 1145, 3025, 236764, 236743, 236770, 236771, 16109, 827, 623, 9707, 1083, 6610, 236800, 236761, 236828, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 23179, 3714, 3250, 1083, 623, 133657, 1593, 1145, 3025, 99603, 236764, 236743, 236770, 236825, 16109, 827, 623, 9707, 1083, 6610, 236825, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4000, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 818, 7310, 236772, 7577, 2459, 12350, 15003, 1208, 609, 236770, 236771, 659, 5213, 99969, 7657, 12350, 81050, 6131, 236828, 236761, 236819, 236819, 236764, 236743, 236812, 236761, 236832, 14470, 62902, 236761, 1701, 121188, 3025, 236764, 506, 1791, 5756, 5086, 1208, 609, 236770, 236771, 563, 5213, 236823, 30548, 1593, 1145, 3025, 6131, 236812, 236761, 236819, 236819, 236764, 236743, 236812, 236761, 236825, 14470, 62902, 236761, 44712, 1239, 6527, 5021, 496, 2558, 2157, 529, 5213, 236795, 236770, 236800, 236761, 236819, 236828, 84750, 236743, 108, 2859, 21222, 121188, 3025, 563, 20626, 236764, 506, 5213, 133657, 1593, 1145, 3025, 99603, 6131, 236825, 236761, 236819, 236819, 236764, 236743, 236812, 236761, 236832, 14470, 62902, 1093, 8175, 506, 2558, 531, 5213, 236795, 236770, 236810, 236761, 236819, 236828, 84750, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2459, 12350, 15003, 532, 121188, 3025, 573, 1041, 34499, 129379, 12878, 15028, 236761, 9187, 684, 19460, 9593, 573, 2459, 12350, 15003, 607, 496, 236743, 236812, 236761, 236810, 236862, 14470, 1208, 609, 236770, 236771, 236761, 1637, 611, 1586, 3835, 5395, 1724, 13138, 236764, 5433, 506, 7310, 236772, 7577, 886, 532, 1299, 3927, 573, 623, 814, 1145, 3025, 236775, 2148, 236761, 1637, 993, 659, 951, 5756, 121188, 3025, 3835, 1208, 609, 236770, 236771, 528, 506, 2536, 236764, 6253, 506, 3927, 531, 3204, 623, 82028, 121188, 3025, 1781, 9920, 611, 735, 506, 1791, 12853, 573, 1800, 4852, 236764, 1138, 910, 6527, 531, 2583, 786, 506, 2558, 2157, 236761, 6890, 506, 9593, 3927, 5904, 573, 1546, 2918, 532, 2016, 580, 506, 3527, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 99969, 7657, 12350, 81050, 236764, 236743, 236770, 25064, 753, 14795, 10353, 134434, 532, 20273, 522, 573, 34499, 129379, 32494, 827, 623, 9707, 1083, 6610, 236828, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 623, 39460, 23179, 3714, 3250, 1083, 623, 23524, 12350, 81050, 236764, 236743, 236828, 16109, 753, 667, 30548, 827, 623, 9707, 1083, 6610, 236810, 236761, 236812, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 62856, 1083, 623, 236823, 30548, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 3250, 1083, 623, 236823, 30548, 1593, 1145, 3025, 236764, 236743, 236770, 236778, 16109, 827, 623, 9707, 1083, 6610, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 3250, 1083, 623, 6700, 8292, 1593, 1145, 3025, 236764, 236743, 236770, 236771, 16109, 827, 623, 9707, 1083, 6610, 236800, 236761, 236828, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 23179, 3714, 3250, 1083, 623, 133657, 1593, 1145, 3025, 99603, 236764, 236743, 236770, 236825, 16109, 827, 623, 9707, 1083, 6610, 236825, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 4000, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 818, 7310, 236772, 7577, 2459, 12350, 15003, 1208, 609, 236770, 236771, 659, 5213, 99969, 7657, 12350, 81050, 6131, 236828, 236761, 236819, 236819, 236764, 236743, 236812, 236761, 236832, 14470, 62902, 236761, 1701, 121188, 3025, 236764, 506, 1791, 5756, 5086, 1208, 609, 236770, 236771, 563, 5213, 236823, 30548, 1593, 1145, 3025, 6131, 236812, 236761, 236819, 236819, 236764, 236743, 236812, 236761, 236825, 14470, 62902, 236761, 44712, 1239, 6527, 5021, 496, 2558, 2157, 529, 5213, 236795, 236770, 236800, 236761, 236819, 236828, 84750, 236743, 108, 2859, 21222, 121188, 3025, 563, 20626, 236764, 506, 5213, 133657, 1593, 1145, 3025, 99603, 6131, 236825, 236761, 236819, 236819, 236764, 236743, 236812, 236761, 236832, 14470, 62902, 1093, 8175, 506, 2558, 531, 5213, 236795, 236770, 236810, 236761, 236819, 236828, 84750, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1900, 1070, 4408, 14767, 573, 1023, 7920, 236764, 840, 564, 1461, 531, 1386, 2889, 692, 974, 506, 1791, 3772, 580, 3325, 3211, 236761, 3792, 786, 8082, 1144, 692, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 3927, 573, 5213, 236775, 157373, 62408, 80779, 236775, 1018, 1699, 506, 1698, 7948, 531, 1460, 768, 901, 236789, 500, 2487, 236761, 1191, 5278, 506, 2764, 28138, 2890, 3117, 607, 236743, 236770, 236771, 236771, 7704, 236761, 236743, 236778, 236761, 1637, 1724, 659, 528, 2862, 236764, 2426, 506, 18241, 4981, 532, 21212, 573, 17040, 10400, 568, 977, 1202, 236743, 236810, 236771, 6630, 769, 236743, 236800, 236761, 1637, 901, 236858, 500, 855, 529, 2862, 653, 1024, 1023, 7715, 6131, 236778, 236761, 236810, 236771, 810, 4360, 779, 1385, 573, 21425, 24277, 699, 5213, 236776, 1158, 1018, 653, 5213, 3285, 644, 1018, 607, 3361, 23003, 236761, 236743, 236812, 236761, 13472, 236764, 4071, 236772, 30449, 506, 1903, 236743, 236778, 3835, 607, 1023, 12373, 28316, 236858, 236751, 32192, 1948, 531, 5510, 1027, 2487, 36498, 236761, 3792, 786, 1281, 1144, 611, 1586, 237028, 977, 1202, 531, 1977, 672, 1900, 684, 7672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 623, 157373, 62408, 80779, 827, 623, 7777, 1083, 623, 8916, 28138, 2890, 236764, 236743, 236770, 236771, 236771, 7704, 827, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 9707, 236779, 721, 236779, 6805, 1083, 236743, 236778, 236761, 236778, 236810, 236764, 623, 75633, 236779, 86211, 1083, 3714, 22111, 1083, 236743, 236810, 236771, 236764, 623, 6725, 236779, 9707, 1083, 236743, 236770, 236770, 236778, 236761, 236810, 236764, 623, 70343, 236779, 103411, 1083, 1847, 1263, 623, 23717, 236779, 104011, 6368, 236779, 70343, 1083, 623, 236770, 236810, 236908, 1135, 6055, 827, 623, 11990, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 818, 106231, 62408, 80779, 568, 8916, 28138, 2890, 236764, 236743, 236770, 236771, 236771, 7704, 236768, 563, 5213, 495, 2862, 1018, 532, 20239, 822, 6035, 236761, 5715, 236789, 236751, 506, 9813, 25890, 236787, 108, 236772, 5213, 11280, 810, 4360, 66515, 609, 236778, 236761, 236778, 236810, 568, 6460, 822, 609, 236778, 236761, 236810, 236771, 7715, 236768, 138, 107, 236772, 5213, 127080, 1900, 568, 236810, 236771, 6630, 62902, 236787, 609, 236770, 236770, 236778, 236761, 236810, 236771, 2558, 568, 22239, 17040, 12223, 236768, 138, 107, 236772, 5213, 95204, 32192, 12223, 66515, 236743, 236770, 236810, 236908, 3016, 6055, 138, 107, 236772, 5213, 65787, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 3771, 1202, 531, 2426, 24277, 2338, 672, 5086, 19009, 822, 13138, 236761, 21284, 611, 1133, 531, 7162, 607, 672, 1900, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1900, 1070, 4408, 14767, 573, 1023, 7920, 236764, 840, 564, 1461, 531, 1386, 2889, 692, 974, 506, 1791, 3772, 580, 3325, 3211, 236761, 3792, 786, 8082, 1144, 692, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 3927, 573, 5213, 236775, 157373, 62408, 80779, 236775, 1018, 1699, 506, 1698, 7948, 531, 1460, 768, 901, 236789, 500, 2487, 236761, 1191, 5278, 506, 2764, 28138, 2890, 3117, 607, 236743, 236770, 236771, 236771, 7704, 236761, 236743, 236778, 236761, 1637, 1724, 659, 528, 2862, 236764, 2426, 506, 18241, 4981, 532, 21212, 573, 17040, 10400, 568, 977, 1202, 236743, 236810, 236771, 6630, 769, 236743, 236800, 236761, 1637, 901, 236858, 500, 855, 529, 2862, 653, 1024, 1023, 7715, 6131, 236778, 236761, 236810, 236771, 810, 4360, 779, 1385, 573, 21425, 24277, 699, 5213, 236776, 1158, 1018, 653, 5213, 3285, 644, 1018, 607, 3361, 23003, 236761, 236743, 236812, 236761, 13472, 236764, 4071, 236772, 30449, 506, 1903, 236743, 236778, 3835, 607, 1023, 12373, 28316, 236858, 236751, 32192, 1948, 531, 5510, 1027, 2487, 36498, 236761, 3792, 786, 1281, 1144, 611, 1586, 237028, 977, 1202, 531, 1977, 672, 1900, 684, 7672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 623, 157373, 62408, 80779, 827, 623, 7777, 1083, 623, 8916, 28138, 2890, 236764, 236743, 236770, 236771, 236771, 7704, 827, 623, 46589, 236779, 4818, 1083, 623, 495, 236779, 14973, 827, 623, 9707, 236779, 721, 236779, 6805, 1083, 236743, 236778, 236761, 236778, 236810, 236764, 623, 75633, 236779, 86211, 1083, 3714, 22111, 1083, 236743, 236810, 236771, 236764, 623, 6725, 236779, 9707, 1083, 236743, 236770, 236770, 236778, 236761, 236810, 236764, 623, 70343, 236779, 103411, 1083, 1847, 1263, 623, 23717, 236779, 104011, 6368, 236779, 70343, 1083, 623, 236770, 236810, 236908, 1135, 6055, 827, 623, 11990, 236779, 81907, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 25938, 106, 107, 105, 4368, 107, 818, 106231, 62408, 80779, 568, 8916, 28138, 2890, 236764, 236743, 236770, 236771, 236771, 7704, 236768, 563, 5213, 495, 2862, 1018, 532, 20239, 822, 6035, 236761, 5715, 236789, 236751, 506, 9813, 25890, 236787, 108, 236772, 5213, 11280, 810, 4360, 66515, 609, 236778, 236761, 236778, 236810, 568, 6460, 822, 609, 236778, 236761, 236810, 236771, 7715, 236768, 138, 107, 236772, 5213, 127080, 1900, 568, 236810, 236771, 6630, 62902, 236787, 609, 236770, 236770, 236778, 236761, 236810, 236771, 2558, 568, 22239, 17040, 12223, 236768, 138, 107, 236772, 5213, 95204, 32192, 12223, 66515, 236743, 236770, 236810, 236908, 3016, 6055, 138, 107, 236772, 5213, 65787, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 3771, 1202, 531, 2426, 24277, 2338, 672, 5086, 19009, 822, 13138, 236761, 21284, 611, 1133, 531, 7162, 607, 672, 1900, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236787, 18428, 236888, 564, 236789, 236757, 12498, 236772, 24333, 236761, 2900, 740, 564, 776, 573, 611, 236881, 120033, 236787, 564, 236789, 236757, 4875, 531, 6778, 1041, 15028, 5249, 573, 1041, 3402, 2780, 9685, 236764, 840, 564, 1202, 1601, 8159, 63527, 236772, 18865, 3835, 600, 2036, 2597, 147211, 236761, 3199, 611, 3927, 573, 63527, 23642, 600, 3204, 3995, 714, 48702, 653, 201032, 236881, 3551, 102016, 2462, 1176, 1724, 964, 623, 39822, 236789, 236751, 90927, 236775, 573, 14105, 14049, 236764, 532, 564, 1461, 531, 2514, 600, 44249, 1651, 10264, 77327, 2708, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 3927, 236779, 147332, 236779, 42352, 607, 623, 12886, 714, 48702, 236775, 532, 623, 176763, 236775, 618, 3927, 3755, 236768, 120033, 236787, 7062, 236764, 1239, 1385, 23284, 236888, 2024, 564, 1202, 919, 4889, 580, 506, 3995, 714, 48702, 105622, 15028, 236761, 2088, 1440, 1677, 625, 1769, 531, 4866, 236881, 2375, 625, 19768, 236772, 139803, 653, 37584, 236772, 3991, 236881, 6542, 236764, 1451, 611, 2426, 768, 506, 7606, 1590, 528, 26681, 795, 1531, 786, 7972, 1041, 3995, 2206, 2180, 1091, 28181, 1493, 672, 2069, 236881, 669, 14415, 1176, 2613, 1003, 236743, 236770, 236770, 236771, 237366, 236811, 236764, 840, 1041, 22892, 3732, 3016, 5724, 11019, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 974, 236779, 41413, 573, 9654, 529, 54710, 110351, 30916, 753, 808, 111863, 5904, 17616, 120033, 236787, 29202, 236764, 600, 4038, 236789, 236745, 1386, 5113, 236761, 564, 4733, 1003, 7606, 236764, 711, 2948, 4972, 236888, 15258, 611, 6921, 872, 506, 6436, 236881, 3792, 786, 37386, 236787, 564, 1202, 506, 4025, 28789, 6007, 14415, 573, 15375, 236743, 236800, 236825, 236761, 236770, 236825, 236819, 236819, 237366, 646, 236764, 236743, 236770, 236770, 236810, 236761, 236770, 236800, 236819, 236828, 237366, 649, 568, 3307, 37543, 528, 26681, 769, 3551, 3995, 714, 48702, 2810, 236789, 236745, 19635, 2264, 5387, 22141, 236764, 532, 564, 1202, 531, 2731, 1041, 49115, 990, 1680, 1041, 2780, 9685, 8912, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 3298, 236779, 3947, 236779, 52511, 607, 506, 15375, 120033, 3847, 236768, 120033, 236787, 26079, 236888, 669, 236743, 236832, 236772, 1496, 14415, 3831, 496, 2541, 699, 506, 22178, 236772, 29345, 14567, 2148, 2069, 236761, 564, 236789, 859, 3732, 1041, 3995, 2206, 1299, 236761, 7062, 236764, 532, 2338, 564, 236789, 236757, 67301, 2563, 753, 1056, 564, 4301, 531, 181238, 2148, 1051, 236764, 564, 1461, 531, 4526, 8582, 4301, 26309, 528, 37369, 236761, 3199, 611, 2426, 837, 15579, 8582, 12765, 573, 99429, 236881, 564, 1202, 531, 5428, 37485, 1133, 623, 1179, 1490, 5259, 236775, 568, 55153, 611, 236768, 532, 623, 87144, 236745, 610, 7096, 21565, 236775, 568, 85864, 742, 2436, 236768, 2180, 3930, 69007, 47317, 1091, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 858, 236770, 236828, 22870, 12455, 4323, 8582, 236789, 236751, 9299, 236768, 120033, 236787, 26660, 625, 236888, 37369, 236789, 236751, 8008, 573, 99429, 236761, 564, 236789, 859, 1502, 16011, 1724, 10103, 531, 1041, 169471, 236761, 54591, 529, 16011, 753, 564, 1164, 3742, 496, 623, 9585, 169945, 2780, 9685, 7675, 236775, 3662, 531, 1041, 5154, 236761, 28344, 611, 2619, 496, 3662, 7234, 573, 623, 85809, 42532, 236746, 236775, 607, 506, 4553, 623, 66111, 83457, 236940, 142281, 45312, 236761, 841, 51653, 2625, 236858, 236751, 496, 94578, 7363, 2780, 15287, 564, 1765, 580, 10365, 236764, 532, 564, 1461, 531, 3618, 1116, 1003, 65122, 80480, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 2619, 236779, 11607, 607, 506, 4889, 120033, 3847, 236768, 120033, 236787, 13948, 4464, 236888, 564, 740, 236858, 236745, 4491, 531, 3442, 1116, 1003, 1041, 63527, 3995, 714, 48702, 15028, 236761, 7062, 236764, 840, 1171, 753, 564, 1374, 4516, 2426, 768, 1304, 236858, 236751, 1581, 580, 10365, 236761, 3199, 611, 1385, 872, 1392, 85809, 236776, 49447, 236779, 9585, 169945, 532, 9128, 1116, 8781, 7519, 236881, 1637, 1304, 236858, 236751, 1759, 236764, 564, 236858, 859, 1202, 531, 1500, 1116, 1680, 22529, 522, 236761, 3551, 8705, 3189, 622, 21706, 699, 54203, 659, 191399, 236764, 840, 668, 992, 1176, 1041, 27351, 12480, 563, 623, 42809, 236772, 36831, 2098, 834, 237064, 9726, 14139, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 1927, 236779, 13330, 236779, 12904, 573, 1392, 85809, 236776, 49447, 236779, 9585, 169945, 236768, 120033, 236787, 5165, 8781, 236858, 236751, 1759, 236888, 2981, 236858, 236751, 1116, 8101, 2148, 531, 496, 7853, 688, 2197, 236761, 564, 236858, 859, 1500, 1116, 20564, 236761, 54591, 529, 23073, 753, 1451, 611, 2426, 1217, 1551, 23073, 1041, 1852, 10365, 1392, 236796, 19710, 236751, 111994, 25174, 815, 236881, 564, 12551, 1041, 1171, 63527, 6835, 532, 13840, 2948, 14074, 236764, 532, 1041, 8705, 1146, 786, 496, 2069, 236858, 236751, 5367, 529, 13415, 11133, 600, 564, 236858, 236753, 974, 1208, 236743, 236810, 236771, 15975, 236761, 1293, 236858, 236751, 15343, 47700, 786, 153509, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 23073, 236779, 2003, 236779, 11668, 573, 1392, 236796, 19710, 236751, 111994, 25174, 236768, 120033, 236787, 236743, 236770, 236778, 236832, 23073, 3016, 26052, 27242, 886, 573, 1041, 66799, 63527, 37163, 236888, 4224, 564, 1164, 1202, 531, 5811, 855, 1217, 531, 5559, 672, 14700, 531, 1041, 2780, 9685, 236761, 2024, 600, 236858, 236751, 16922, 236858, 236751, 2608, 236761, 82948, 236764, 564, 236858, 236757, 3043, 506, 3995, 714, 48702, 105622, 236761, 28344, 611, 3972, 236772, 4256, 506, 19768, 4022, 886, 1774, 990, 236881, 3551, 17660, 236858, 236751, 146526, 623, 236081, 48702, 236775, 25521, 236764, 532, 1041, 8705, 236858, 236751, 76798, 2290, 3446, 13919, 563, 4891, 1024, 531, 11613, 236772, 2181, 236761, 9190, 12498, 236772, 24333, 236787, 568, 98743, 2139, 506, 19768, 4022, 8052, 699, 506, 6517, 15028, 3927, 236768, 120033, 236787, 236743, 236800, 236832, 236810, 237366, 236811, 625, 563, 236761, 564, 236858, 859, 1816, 611, 3209, 607, 37374, 529, 910, 12047, 236761, 1452, 1537, 236858, 236745, 1751, 564, 18492, 1003, 37727, 42532, 236746, 753, 3622, 1041, 2780, 9685, 236858, 236751, 19519, 236764, 564, 236858, 859, 10240, 531, 181238, 532, 14089, 1116, 607, 496, 3995, 714, 48702, 236772, 147332, 236772, 50455, 7853, 688, 236761, 3551, 102016, 1093, 236858, 560, 2760, 600, 496, 623, 236754, 2674, 3730, 4317, 2098, 840, 31251, 236764, 14385, 87840, 236761, 106, 107, 105, 4368, 107, 12553, 236772, 24333, 236787, 669, 3995, 714, 48702, 105622, 15028, 699, 506, 63527, 3927, 9155, 25671, 657, 236743, 236800, 236832, 236810, 237366, 236811, 568, 236770, 236819, 236771, 237366, 236780, 236768, 573, 236743, 236778, 236810, 4310, 236761, 5180, 76798, 2290, 3446, 11613, 236772, 227997, 1374, 974, 66799, 236764, 13935, 14453, 1164, 528, 990, 573, 154502, 236888, 236743, 249397, 34348, 832, 236743, 247527, 106, 107, 105, 2364, 107, 236796, 19710, 236787, 236743, 236800, 236832, 236810, 237366, 236811, 236764, 2506, 625, 30569, 1662, 1492, 236888, 11017, 573, 711, 23725, 1041, 17660, 3345, 236761, 178829, 242658, 5393, 191091, 1041, 8705, 496, 10464, 529, 506, 105622, 120736, 528, 506, 19768, 753, 668, 3189, 506, 76798, 7807, 659, 5083, 154921, 3016, 236761, 54591, 529, 5083, 154921, 236764, 1451, 611, 2426, 768, 506, 63527, 15028, 9299, 815, 1027, 3995, 714, 3826, 78529, 6549, 236881, 564, 1461, 531, 2729, 19060, 2311, 236764, 532, 1041, 22892, 3732, 2473, 19635, 768, 564, 4721, 1699, 625, 784, 573, 141736, 236761, 568, 20366, 236764, 496, 3826, 78529, 1093, 6727, 4011, 607, 600, 66799, 27351, 12480, 564, 236858, 560, 1010, 170878, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236855, 9015, 12500, 714, 7086, 7338, 187126, 827, 623, 77095, 1083, 11058, 236778, 27370, 5756, 3995, 714, 48702, 827, 623, 236770, 51854, 568, 232176, 22730, 623, 236770, 8578, 6770, 9974, 4027, 47195, 9556, 827, 623, 236770, 107072, 22027, 15003, 827, 623, 236770, 64434, 37675, 63527, 6762, 13950, 827, 623, 64714, 42595, 827, 623, 43983, 236787, 236743, 236770, 72881, 21079, 91319, 573, 4481, 48702, 14255, 623, 96654, 1083, 623, 76503, 784, 13153, 3097, 7080, 236761, 68988, 6842, 83659, 236761, 54567, 990, 236787, 236743, 236810, 4310, 10498, 623, 13569, 30500, 236779, 3906, 1083, 3714, 125645, 1083, 236743, 236778, 236828, 236810, 236764, 623, 2108, 236779, 4554, 1886, 1083, 236743, 236825, 236764, 623, 56874, 1083, 236743, 236770, 236828, 236764, 623, 34246, 1083, 236743, 236778, 236778, 5237, 3714, 3250, 1083, 623, 91414, 49430, 12500, 714, 98603, 827, 623, 77095, 1083, 11058, 236770, 236761, 236810, 27370, 3995, 714, 48702, 827, 623, 236770, 107072, 110933, 13950, 827, 623, 236770, 8578, 31255, 9556, 827, 623, 236770, 236786, 236812, 8578, 5756, 22892, 6895, 827, 623, 236778, 107072, 47195, 11018, 827, 623, 236770, 64434, 14403, 63527, 6762, 13950, 827, 623, 64714, 42595, 14255, 623, 96654, 1083, 623, 68793, 784, 13153, 528, 496, 72413, 236761, 4140, 8205, 531, 180694, 236761, 99603, 3097, 49981, 236761, 68988, 607, 496, 22892, 141736, 10498, 623, 13569, 30500, 236779, 3906, 1083, 3714, 125645, 1083, 236743, 236800, 236778, 236771, 236764, 623, 2108, 236779, 4554, 1886, 1083, 236743, 236828, 236764, 623, 56874, 1083, 236743, 236778, 236771, 236764, 623, 34246, 1083, 236743, 236778, 236812, 1807, 1604, 623, 63875, 1083, 11058, 3218, 236743, 236770, 236786, 236778, 30077, 573, 3756, 74184, 568, 207280, 2657, 77327, 684, 236743, 236770, 236778, 236759, 22730, 623, 10896, 21222, 3995, 714, 48702, 573, 496, 81934, 7595, 827, 623, 131024, 22892, 607, 71265, 573, 496, 141027, 18434, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1156, 63527, 236772, 18865, 3995, 714, 3826, 78529, 23642, 531, 14125, 822, 6831, 236787, 108, 1018, 236770, 236761, 81304, 12500, 714, 7086, 7338, 187126, 1018, 138, 107, 236772, 5213, 64690, 66515, 12500, 714, 48702, 236764, 51854, 236764, 47195, 9556, 236764, 22027, 15003, 236764, 37675, 6762, 13950, 236764, 8205, 236761, 138, 107, 236772, 5213, 36286, 66515, 236743, 236810, 4310, 236761, 99603, 784, 13153, 236761, 138, 107, 236772, 5213, 236847, 18252, 66515, 32344, 236762, 532, 39351, 236764, 4011, 573, 41346, 27351, 12480, 236761, 138, 107, 236772, 5213, 173881, 66515, 236743, 236778, 236828, 236810, 29304, 236764, 236743, 236825, 236759, 2657, 77327, 236761, 138, 108, 1018, 236778, 236761, 51039, 49430, 12500, 714, 98603, 1018, 138, 107, 236772, 5213, 64690, 66515, 12500, 714, 48702, 236764, 110933, 13950, 236764, 31255, 9556, 236764, 5756, 22892, 236764, 47195, 11018, 236764, 14403, 6762, 13950, 236764, 8205, 236761, 138, 107, 236772, 5213, 1489, 42272, 66515, 6890, 822, 37543, 22892, 573, 141736, 236888, 138, 107, 236772, 5213, 236847, 18252, 66515, 7536, 14403, 236772, 84210, 18434, 236764, 63527, 236772, 18865, 124781, 236761, 138, 107, 236772, 5213, 173881, 66515, 236743, 236800, 236778, 236771, 29304, 236764, 236743, 236828, 236759, 2657, 77327, 236761, 138, 108, 22186, 23642, 740, 577, 166557, 607, 21222, 3995, 714, 48702, 573, 7595, 653, 102120, 22892, 573, 71265, 768, 4354, 236761, 5180, 22892, 3732, 2473, 19635, 672, 78529, 72946, 3819, 236888, 236743, 243536, 239794, 138, 108, 24249, 886, 1374, 564, 8052, 3342, 573, 822, 2780, 9685, 6831, 236881, 106, 107, 105, 2364, 107, 236796, 19710, 236787, 669, 51039, 49430, 12500, 714, 98603, 12054, 1133, 496, 808, 4919, 192537, 236829, 236888, 3551, 22892, 3732, 236858, 236751, 3016, 54478, 47812, 236764, 840, 34405, 7399, 607, 37543, 22892, 1093, 1386, 625, 2597, 4481, 2803, 236761, 28344, 611, 2679, 506, 63527, 15028, 9299, 573, 15936, 529, 672, 78529, 600, 1161, 201032, 5205, 529, 3995, 714, 48702, 236881, 564, 236858, 560, 2506, 496, 34351, 699, 1041, 7972, 236764, 532, 1041, 8705, 236858, 236751, 76798, 13919, 15033, 46133, 999, 44784, 234144, 236772, 6796, 236919, 1308, 564, 98520, 1091, 531, 2056, 27351, 201032, 236761, 568, 7634, 236858, 500, 18155, 80613, 753, 625, 236858, 236751, 808, 155515, 2551, 30237, 711, 234144, 15520, 6542, 236764, 2338, 564, 236858, 236757, 67301, 2563, 236787, 1144, 236858, 236751, 506, 1791, 1595, 531, 5559, 672, 78529, 573, 496, 2780, 9685, 236881, 18975, 564, 12539, 236772, 101606, 532, 22571, 606, 236881, 2408, 2233, 528, 496, 1494, 236772, 36359, 72413, 600, 740, 6060, 21222, 201032, 49145, 236881, 3551, 17660, 236858, 236751, 3016, 95630, 1024, 4866, 990, 1913, 14016, 139113, 237064, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 89866, 12191, 601, 187126, 827, 623, 77095, 1083, 11058, 236778, 27370, 21222, 201032, 827, 623, 236770, 35923, 51854, 827, 623, 236770, 8578, 6770, 9974, 4027, 53555, 13950, 827, 623, 236770, 107072, 52102, 47169, 827, 623, 236770, 8578, 47195, 9556, 827, 623, 236770, 72881, 132158, 8430, 827, 623, 64714, 42595, 14255, 623, 96654, 1083, 623, 76503, 784, 13153, 3097, 7080, 236761, 1701, 2780, 9685, 24968, 236787, 47491, 236772, 101606, 528, 236743, 236778, 236772, 134563, 68558, 1699, 496, 23201, 546, 1205, 236743, 236832, 236810, 236771, 236771, 236764, 35848, 528, 9381, 524, 24032, 236764, 532, 22571, 606, 24602, 236761, 807, 1348, 573, 236743, 236778, 3885, 1680, 12284, 10498, 623, 91963, 236779, 2289, 1083, 623, 236810, 4310, 23179, 3714, 1201, 1083, 623, 91414, 12191, 601, 107487, 827, 623, 77095, 1083, 11058, 236800, 27370, 5756, 201032, 568, 1782, 508, 3059, 531, 6439, 72922, 22730, 623, 236770, 236761, 236810, 27370, 31255, 9728, 827, 623, 236778, 107072, 110933, 33258, 236751, 827, 623, 236770, 17330, 5756, 22892, 827, 623, 236770, 72881, 37675, 153385, 722, 827, 623, 15760, 10593, 8205, 14255, 623, 96654, 1083, 623, 68793, 784, 13153, 528, 496, 1494, 236772, 36359, 72413, 236761, 1701, 2455, 68558, 236787, 10703, 528, 496, 6635, 72413, 1133, 99603, 51338, 12613, 27847, 607, 496, 236743, 236800, 236761, 236828, 18835, 6474, 531, 6060, 21222, 201032, 49145, 23057, 10498, 623, 91963, 236779, 2289, 1083, 623, 236800, 4310, 25938, 1604, 623, 23184, 1083, 623, 22186, 23642, 20504, 3995, 714, 48702, 236761, 12191, 601, 236789, 236751, 3756, 14733, 54238, 506, 48702, 236789, 7595, 1651, 16977, 63527, 14143, 236761, 5803, 36993, 201032, 528, 10764, 531, 5330, 7595, 25725, 1913, 2780, 9685, 4866, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 201032, 236772, 5140, 63527, 78529, 23642, 531, 31716, 872, 822, 6831, 568, 15126, 10518, 236888, 1473, 108, 1018, 236770, 236761, 49430, 12191, 601, 187126, 1018, 138, 107, 236772, 5213, 64690, 66515, 83443, 201032, 236764, 51854, 236764, 53555, 13950, 236764, 52102, 47169, 236764, 47195, 9556, 236764, 132158, 8430, 236761, 138, 107, 236772, 5213, 25174, 42267, 43346, 66515, 47491, 236772, 101606, 236743, 236778, 236772, 134563, 22292, 528, 496, 23201, 546, 1205, 236743, 236832, 236810, 236771, 236771, 568, 62473, 236772, 9619, 779, 35848, 528, 9381, 524, 24032, 236764, 532, 22571, 606, 24602, 236761, 807, 1348, 573, 236743, 236778, 3885, 877, 236772, 8114, 236761, 138, 107, 236772, 5213, 11355, 1030, 20016, 66515, 83443, 201032, 136759, 506, 49981, 7595, 529, 3995, 714, 48702, 2180, 506, 623, 2942, 54896, 236775, 67192, 236761, 138, 108, 1018, 236778, 236761, 51039, 12191, 601, 107487, 1018, 138, 107, 236772, 5213, 64690, 66515, 28776, 201032, 568, 1782, 508, 3059, 531, 6439, 72922, 779, 31255, 9728, 236764, 110933, 33258, 236751, 236764, 22892, 236764, 37675, 153385, 722, 236761, 138, 107, 236772, 5213, 1489, 42272, 66515, 6890, 496, 99603, 51338, 12613, 27847, 568, 236800, 236761, 236828, 18835, 6474, 236768, 531, 47585, 21222, 201032, 49145, 80318, 236761, 138, 107, 236772, 5213, 30492, 6946, 236772, 14476, 66515, 103841, 522, 201032, 578, 808, 155515, 2551, 236829, 27351, 201032, 236858, 236751, 6789, 20557, 236761, 5180, 8705, 236858, 236751, 13919, 795, 2752, 1281, 625, 236858, 236751, 506, 1638, 114996, 236888, 138, 108, 1018, 150294, 34428, 66515, 138, 107, 236772, 5213, 28925, 54567, 66515, 124258, 201032, 528, 10764, 568, 1782, 4316, 1171, 573, 7595, 769, 138, 107, 236772, 5213, 3508, 2950, 27269, 66515, 22282, 77372, 496, 6635, 72413, 573, 4249, 1913, 14016, 139113, 236761, 138, 107, 236772, 5213, 3694, 9793, 66515, 124258, 496, 1944, 12539, 529, 201032, 78529, 1171, 531, 2426, 25725, 237028, 35277, 175981, 990, 618, 4354, 236761, 138, 108, 11069, 22892, 3732, 2473, 49233, 611, 3819, 236888, 236743, 243536, 248718, 15311, 15028, 1374, 692, 100257, 573, 822, 2780, 9685, 236858, 236751, 41628, 236881, 568, 236777, 236858, 236757, 52060, 8797, 808, 91414, 12191, 601, 107487, 236829, 237028, 59047, 1133, 496, 49253, 78529, 2907, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236787, 18428, 236888, 564, 236789, 236757, 12498, 236772, 24333, 236761, 2900, 740, 564, 776, 573, 611, 236881, 120033, 236787, 564, 236789, 236757, 4875, 531, 6778, 1041, 15028, 5249, 573, 1041, 3402, 2780, 9685, 236764, 840, 564, 1202, 1601, 8159, 63527, 236772, 18865, 3835, 600, 2036, 2597, 147211, 236761, 3199, 611, 3927, 573, 63527, 23642, 600, 3204, 3995, 714, 48702, 653, 201032, 236881, 3551, 102016, 2462, 1176, 1724, 964, 623, 39822, 236789, 236751, 90927, 236775, 573, 14105, 14049, 236764, 532, 564, 1461, 531, 2514, 600, 44249, 1651, 10264, 77327, 2708, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 3927, 236779, 147332, 236779, 42352, 607, 623, 12886, 714, 48702, 236775, 532, 623, 176763, 236775, 618, 3927, 3755, 236768, 120033, 236787, 7062, 236764, 1239, 1385, 23284, 236888, 2024, 564, 1202, 919, 4889, 580, 506, 3995, 714, 48702, 105622, 15028, 236761, 2088, 1440, 1677, 625, 1769, 531, 4866, 236881, 2375, 625, 19768, 236772, 139803, 653, 37584, 236772, 3991, 236881, 6542, 236764, 1451, 611, 2426, 768, 506, 7606, 1590, 528, 26681, 795, 1531, 786, 7972, 1041, 3995, 2206, 2180, 1091, 28181, 1493, 672, 2069, 236881, 669, 14415, 1176, 2613, 1003, 236743, 236770, 236770, 236771, 237366, 236811, 236764, 840, 1041, 22892, 3732, 3016, 5724, 11019, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 974, 236779, 41413, 573, 9654, 529, 54710, 110351, 30916, 753, 808, 111863, 5904, 17616, 120033, 236787, 29202, 236764, 600, 4038, 236789, 236745, 1386, 5113, 236761, 564, 4733, 1003, 7606, 236764, 711, 2948, 4972, 236888, 15258, 611, 6921, 872, 506, 6436, 236881, 3792, 786, 37386, 236787, 564, 1202, 506, 4025, 28789, 6007, 14415, 573, 15375, 236743, 236800, 236825, 236761, 236770, 236825, 236819, 236819, 237366, 646, 236764, 236743, 236770, 236770, 236810, 236761, 236770, 236800, 236819, 236828, 237366, 649, 568, 3307, 37543, 528, 26681, 769, 3551, 3995, 714, 48702, 2810, 236789, 236745, 19635, 2264, 5387, 22141, 236764, 532, 564, 1202, 531, 2731, 1041, 49115, 990, 1680, 1041, 2780, 9685, 8912, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 3298, 236779, 3947, 236779, 52511, 607, 506, 15375, 120033, 3847, 236768, 120033, 236787, 26079, 236888, 669, 236743, 236832, 236772, 1496, 14415, 3831, 496, 2541, 699, 506, 22178, 236772, 29345, 14567, 2148, 2069, 236761, 564, 236789, 859, 3732, 1041, 3995, 2206, 1299, 236761, 7062, 236764, 532, 2338, 564, 236789, 236757, 67301, 2563, 753, 1056, 564, 4301, 531, 181238, 2148, 1051, 236764, 564, 1461, 531, 4526, 8582, 4301, 26309, 528, 37369, 236761, 3199, 611, 2426, 837, 15579, 8582, 12765, 573, 99429, 236881, 564, 1202, 531, 5428, 37485, 1133, 623, 1179, 1490, 5259, 236775, 568, 55153, 611, 236768, 532, 623, 87144, 236745, 610, 7096, 21565, 236775, 568, 85864, 742, 2436, 236768, 2180, 3930, 69007, 47317, 1091, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 858, 236770, 236828, 22870, 12455, 4323, 8582, 236789, 236751, 9299, 236768, 120033, 236787, 26660, 625, 236888, 37369, 236789, 236751, 8008, 573, 99429, 236761, 564, 236789, 859, 1502, 16011, 1724, 10103, 531, 1041, 169471, 236761, 54591, 529, 16011, 753, 564, 1164, 3742, 496, 623, 9585, 169945, 2780, 9685, 7675, 236775, 3662, 531, 1041, 5154, 236761, 28344, 611, 2619, 496, 3662, 7234, 573, 623, 85809, 42532, 236746, 236775, 607, 506, 4553, 623, 66111, 83457, 236940, 142281, 45312, 236761, 841, 51653, 2625, 236858, 236751, 496, 94578, 7363, 2780, 15287, 564, 1765, 580, 10365, 236764, 532, 564, 1461, 531, 3618, 1116, 1003, 65122, 80480, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 2619, 236779, 11607, 607, 506, 4889, 120033, 3847, 236768, 120033, 236787, 13948, 4464, 236888, 564, 740, 236858, 236745, 4491, 531, 3442, 1116, 1003, 1041, 63527, 3995, 714, 48702, 15028, 236761, 7062, 236764, 840, 1171, 753, 564, 1374, 4516, 2426, 768, 1304, 236858, 236751, 1581, 580, 10365, 236761, 3199, 611, 1385, 872, 1392, 85809, 236776, 49447, 236779, 9585, 169945, 532, 9128, 1116, 8781, 7519, 236881, 1637, 1304, 236858, 236751, 1759, 236764, 564, 236858, 859, 1202, 531, 1500, 1116, 1680, 22529, 522, 236761, 3551, 8705, 3189, 622, 21706, 699, 54203, 659, 191399, 236764, 840, 668, 992, 1176, 1041, 27351, 12480, 563, 623, 42809, 236772, 36831, 2098, 834, 237064, 9726, 14139, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 1927, 236779, 13330, 236779, 12904, 573, 1392, 85809, 236776, 49447, 236779, 9585, 169945, 236768, 120033, 236787, 5165, 8781, 236858, 236751, 1759, 236888, 2981, 236858, 236751, 1116, 8101, 2148, 531, 496, 7853, 688, 2197, 236761, 564, 236858, 859, 1500, 1116, 20564, 236761, 54591, 529, 23073, 753, 1451, 611, 2426, 1217, 1551, 23073, 1041, 1852, 10365, 1392, 236796, 19710, 236751, 111994, 25174, 815, 236881, 564, 12551, 1041, 1171, 63527, 6835, 532, 13840, 2948, 14074, 236764, 532, 1041, 8705, 1146, 786, 496, 2069, 236858, 236751, 5367, 529, 13415, 11133, 600, 564, 236858, 236753, 974, 1208, 236743, 236810, 236771, 15975, 236761, 1293, 236858, 236751, 15343, 47700, 786, 153509, 236761, 9190, 12498, 236772, 24333, 236787, 568, 78377, 23073, 236779, 2003, 236779, 11668, 573, 1392, 236796, 19710, 236751, 111994, 25174, 236768, 120033, 236787, 236743, 236770, 236778, 236832, 23073, 3016, 26052, 27242, 886, 573, 1041, 66799, 63527, 37163, 236888, 4224, 564, 1164, 1202, 531, 5811, 855, 1217, 531, 5559, 672, 14700, 531, 1041, 2780, 9685, 236761, 2024, 600, 236858, 236751, 16922, 236858, 236751, 2608, 236761, 82948, 236764, 564, 236858, 236757, 3043, 506, 3995, 714, 48702, 105622, 236761, 28344, 611, 3972, 236772, 4256, 506, 19768, 4022, 886, 1774, 990, 236881, 3551, 17660, 236858, 236751, 146526, 623, 236081, 48702, 236775, 25521, 236764, 532, 1041, 8705, 236858, 236751, 76798, 2290, 3446, 13919, 563, 4891, 1024, 531, 11613, 236772, 2181, 236761, 9190, 12498, 236772, 24333, 236787, 568, 98743, 2139, 506, 19768, 4022, 8052, 699, 506, 6517, 15028, 3927, 236768, 120033, 236787, 236743, 236800, 236832, 236810, 237366, 236811, 625, 563, 236761, 564, 236858, 859, 1816, 611, 3209, 607, 37374, 529, 910, 12047, 236761, 1452, 1537, 236858, 236745, 1751, 564, 18492, 1003, 37727, 42532, 236746, 753, 3622, 1041, 2780, 9685, 236858, 236751, 19519, 236764, 564, 236858, 859, 10240, 531, 181238, 532, 14089, 1116, 607, 496, 3995, 714, 48702, 236772, 147332, 236772, 50455, 7853, 688, 236761, 3551, 102016, 1093, 236858, 560, 2760, 600, 496, 623, 236754, 2674, 3730, 4317, 2098, 840, 31251, 236764, 14385, 87840, 236761, 106, 107, 105, 4368, 107, 12553, 236772, 24333, 236787, 669, 3995, 714, 48702, 105622, 15028, 699, 506, 63527, 3927, 9155, 25671, 657, 236743, 236800, 236832, 236810, 237366, 236811, 568, 236770, 236819, 236771, 237366, 236780, 236768, 573, 236743, 236778, 236810, 4310, 236761, 5180, 76798, 2290, 3446, 11613, 236772, 227997, 1374, 974, 66799, 236764, 13935, 14453, 1164, 528, 990, 573, 154502, 236888, 236743, 249397, 34348, 832, 236743, 247527, 106, 107, 105, 2364, 107, 236796, 19710, 236787, 236743, 236800, 236832, 236810, 237366, 236811, 236764, 2506, 625, 30569, 1662, 1492, 236888, 11017, 573, 711, 23725, 1041, 17660, 3345, 236761, 178829, 242658, 5393, 191091, 1041, 8705, 496, 10464, 529, 506, 105622, 120736, 528, 506, 19768, 753, 668, 3189, 506, 76798, 7807, 659, 5083, 154921, 3016, 236761, 54591, 529, 5083, 154921, 236764, 1451, 611, 2426, 768, 506, 63527, 15028, 9299, 815, 1027, 3995, 714, 3826, 78529, 6549, 236881, 564, 1461, 531, 2729, 19060, 2311, 236764, 532, 1041, 22892, 3732, 2473, 19635, 768, 564, 4721, 1699, 625, 784, 573, 141736, 236761, 568, 20366, 236764, 496, 3826, 78529, 1093, 6727, 4011, 607, 600, 66799, 27351, 12480, 564, 236858, 560, 1010, 170878, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236855, 9015, 12500, 714, 7086, 7338, 187126, 827, 623, 77095, 1083, 11058, 236778, 27370, 5756, 3995, 714, 48702, 827, 623, 236770, 51854, 568, 232176, 22730, 623, 236770, 8578, 6770, 9974, 4027, 47195, 9556, 827, 623, 236770, 107072, 22027, 15003, 827, 623, 236770, 64434, 37675, 63527, 6762, 13950, 827, 623, 64714, 42595, 827, 623, 43983, 236787, 236743, 236770, 72881, 21079, 91319, 573, 4481, 48702, 14255, 623, 96654, 1083, 623, 76503, 784, 13153, 3097, 7080, 236761, 68988, 6842, 83659, 236761, 54567, 990, 236787, 236743, 236810, 4310, 10498, 623, 13569, 30500, 236779, 3906, 1083, 3714, 125645, 1083, 236743, 236778, 236828, 236810, 236764, 623, 2108, 236779, 4554, 1886, 1083, 236743, 236825, 236764, 623, 56874, 1083, 236743, 236770, 236828, 236764, 623, 34246, 1083, 236743, 236778, 236778, 5237, 3714, 3250, 1083, 623, 91414, 49430, 12500, 714, 98603, 827, 623, 77095, 1083, 11058, 236770, 236761, 236810, 27370, 3995, 714, 48702, 827, 623, 236770, 107072, 110933, 13950, 827, 623, 236770, 8578, 31255, 9556, 827, 623, 236770, 236786, 236812, 8578, 5756, 22892, 6895, 827, 623, 236778, 107072, 47195, 11018, 827, 623, 236770, 64434, 14403, 63527, 6762, 13950, 827, 623, 64714, 42595, 14255, 623, 96654, 1083, 623, 68793, 784, 13153, 528, 496, 72413, 236761, 4140, 8205, 531, 180694, 236761, 99603, 3097, 49981, 236761, 68988, 607, 496, 22892, 141736, 10498, 623, 13569, 30500, 236779, 3906, 1083, 3714, 125645, 1083, 236743, 236800, 236778, 236771, 236764, 623, 2108, 236779, 4554, 1886, 1083, 236743, 236828, 236764, 623, 56874, 1083, 236743, 236778, 236771, 236764, 623, 34246, 1083, 236743, 236778, 236812, 1807, 1604, 623, 63875, 1083, 11058, 3218, 236743, 236770, 236786, 236778, 30077, 573, 3756, 74184, 568, 207280, 2657, 77327, 684, 236743, 236770, 236778, 236759, 22730, 623, 10896, 21222, 3995, 714, 48702, 573, 496, 81934, 7595, 827, 623, 131024, 22892, 607, 71265, 573, 496, 141027, 18434, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1156, 63527, 236772, 18865, 3995, 714, 3826, 78529, 23642, 531, 14125, 822, 6831, 236787, 108, 1018, 236770, 236761, 81304, 12500, 714, 7086, 7338, 187126, 1018, 138, 107, 236772, 5213, 64690, 66515, 12500, 714, 48702, 236764, 51854, 236764, 47195, 9556, 236764, 22027, 15003, 236764, 37675, 6762, 13950, 236764, 8205, 236761, 138, 107, 236772, 5213, 36286, 66515, 236743, 236810, 4310, 236761, 99603, 784, 13153, 236761, 138, 107, 236772, 5213, 236847, 18252, 66515, 32344, 236762, 532, 39351, 236764, 4011, 573, 41346, 27351, 12480, 236761, 138, 107, 236772, 5213, 173881, 66515, 236743, 236778, 236828, 236810, 29304, 236764, 236743, 236825, 236759, 2657, 77327, 236761, 138, 108, 1018, 236778, 236761, 51039, 49430, 12500, 714, 98603, 1018, 138, 107, 236772, 5213, 64690, 66515, 12500, 714, 48702, 236764, 110933, 13950, 236764, 31255, 9556, 236764, 5756, 22892, 236764, 47195, 11018, 236764, 14403, 6762, 13950, 236764, 8205, 236761, 138, 107, 236772, 5213, 1489, 42272, 66515, 6890, 822, 37543, 22892, 573, 141736, 236888, 138, 107, 236772, 5213, 236847, 18252, 66515, 7536, 14403, 236772, 84210, 18434, 236764, 63527, 236772, 18865, 124781, 236761, 138, 107, 236772, 5213, 173881, 66515, 236743, 236800, 236778, 236771, 29304, 236764, 236743, 236828, 236759, 2657, 77327, 236761, 138, 108, 22186, 23642, 740, 577, 166557, 607, 21222, 3995, 714, 48702, 573, 7595, 653, 102120, 22892, 573, 71265, 768, 4354, 236761, 5180, 22892, 3732, 2473, 19635, 672, 78529, 72946, 3819, 236888, 236743, 243536, 239794, 138, 108, 24249, 886, 1374, 564, 8052, 3342, 573, 822, 2780, 9685, 6831, 236881, 106, 107, 105, 2364, 107, 236796, 19710, 236787, 669, 51039, 49430, 12500, 714, 98603, 12054, 1133, 496, 808, 4919, 192537, 236829, 236888, 3551, 22892, 3732, 236858, 236751, 3016, 54478, 47812, 236764, 840, 34405, 7399, 607, 37543, 22892, 1093, 1386, 625, 2597, 4481, 2803, 236761, 28344, 611, 2679, 506, 63527, 15028, 9299, 573, 15936, 529, 672, 78529, 600, 1161, 201032, 5205, 529, 3995, 714, 48702, 236881, 564, 236858, 560, 2506, 496, 34351, 699, 1041, 7972, 236764, 532, 1041, 8705, 236858, 236751, 76798, 13919, 15033, 46133, 999, 44784, 234144, 236772, 6796, 236919, 1308, 564, 98520, 1091, 531, 2056, 27351, 201032, 236761, 568, 7634, 236858, 500, 18155, 80613, 753, 625, 236858, 236751, 808, 155515, 2551, 30237, 711, 234144, 15520, 6542, 236764, 2338, 564, 236858, 236757, 67301, 2563, 236787, 1144, 236858, 236751, 506, 1791, 1595, 531, 5559, 672, 78529, 573, 496, 2780, 9685, 236881, 18975, 564, 12539, 236772, 101606, 532, 22571, 606, 236881, 2408, 2233, 528, 496, 1494, 236772, 36359, 72413, 600, 740, 6060, 21222, 201032, 49145, 236881, 3551, 17660, 236858, 236751, 3016, 95630, 1024, 4866, 990, 1913, 14016, 139113, 237064, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 89866, 12191, 601, 187126, 827, 623, 77095, 1083, 11058, 236778, 27370, 21222, 201032, 827, 623, 236770, 35923, 51854, 827, 623, 236770, 8578, 6770, 9974, 4027, 53555, 13950, 827, 623, 236770, 107072, 52102, 47169, 827, 623, 236770, 8578, 47195, 9556, 827, 623, 236770, 72881, 132158, 8430, 827, 623, 64714, 42595, 14255, 623, 96654, 1083, 623, 76503, 784, 13153, 3097, 7080, 236761, 1701, 2780, 9685, 24968, 236787, 47491, 236772, 101606, 528, 236743, 236778, 236772, 134563, 68558, 1699, 496, 23201, 546, 1205, 236743, 236832, 236810, 236771, 236771, 236764, 35848, 528, 9381, 524, 24032, 236764, 532, 22571, 606, 24602, 236761, 807, 1348, 573, 236743, 236778, 3885, 1680, 12284, 10498, 623, 91963, 236779, 2289, 1083, 623, 236810, 4310, 23179, 3714, 1201, 1083, 623, 91414, 12191, 601, 107487, 827, 623, 77095, 1083, 11058, 236800, 27370, 5756, 201032, 568, 1782, 508, 3059, 531, 6439, 72922, 22730, 623, 236770, 236761, 236810, 27370, 31255, 9728, 827, 623, 236778, 107072, 110933, 33258, 236751, 827, 623, 236770, 17330, 5756, 22892, 827, 623, 236770, 72881, 37675, 153385, 722, 827, 623, 15760, 10593, 8205, 14255, 623, 96654, 1083, 623, 68793, 784, 13153, 528, 496, 1494, 236772, 36359, 72413, 236761, 1701, 2455, 68558, 236787, 10703, 528, 496, 6635, 72413, 1133, 99603, 51338, 12613, 27847, 607, 496, 236743, 236800, 236761, 236828, 18835, 6474, 531, 6060, 21222, 201032, 49145, 23057, 10498, 623, 91963, 236779, 2289, 1083, 623, 236800, 4310, 25938, 1604, 623, 23184, 1083, 623, 22186, 23642, 20504, 3995, 714, 48702, 236761, 12191, 601, 236789, 236751, 3756, 14733, 54238, 506, 48702, 236789, 7595, 1651, 16977, 63527, 14143, 236761, 5803, 36993, 201032, 528, 10764, 531, 5330, 7595, 25725, 1913, 2780, 9685, 4866, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 201032, 236772, 5140, 63527, 78529, 23642, 531, 31716, 872, 822, 6831, 568, 15126, 10518, 236888, 1473, 108, 1018, 236770, 236761, 49430, 12191, 601, 187126, 1018, 138, 107, 236772, 5213, 64690, 66515, 83443, 201032, 236764, 51854, 236764, 53555, 13950, 236764, 52102, 47169, 236764, 47195, 9556, 236764, 132158, 8430, 236761, 138, 107, 236772, 5213, 25174, 42267, 43346, 66515, 47491, 236772, 101606, 236743, 236778, 236772, 134563, 22292, 528, 496, 23201, 546, 1205, 236743, 236832, 236810, 236771, 236771, 568, 62473, 236772, 9619, 779, 35848, 528, 9381, 524, 24032, 236764, 532, 22571, 606, 24602, 236761, 807, 1348, 573, 236743, 236778, 3885, 877, 236772, 8114, 236761, 138, 107, 236772, 5213, 11355, 1030, 20016, 66515, 83443, 201032, 136759, 506, 49981, 7595, 529, 3995, 714, 48702, 2180, 506, 623, 2942, 54896, 236775, 67192, 236761, 138, 108, 1018, 236778, 236761, 51039, 12191, 601, 107487, 1018, 138, 107, 236772, 5213, 64690, 66515, 28776, 201032, 568, 1782, 508, 3059, 531, 6439, 72922, 779, 31255, 9728, 236764, 110933, 33258, 236751, 236764, 22892, 236764, 37675, 153385, 722, 236761, 138, 107, 236772, 5213, 1489, 42272, 66515, 6890, 496, 99603, 51338, 12613, 27847, 568, 236800, 236761, 236828, 18835, 6474, 236768, 531, 47585, 21222, 201032, 49145, 80318, 236761, 138, 107, 236772, 5213, 30492, 6946, 236772, 14476, 66515, 103841, 522, 201032, 578, 808, 155515, 2551, 236829, 27351, 201032, 236858, 236751, 6789, 20557, 236761, 5180, 8705, 236858, 236751, 13919, 795, 2752, 1281, 625, 236858, 236751, 506, 1638, 114996, 236888, 138, 108, 1018, 150294, 34428, 66515, 138, 107, 236772, 5213, 28925, 54567, 66515, 124258, 201032, 528, 10764, 568, 1782, 4316, 1171, 573, 7595, 769, 138, 107, 236772, 5213, 3508, 2950, 27269, 66515, 22282, 77372, 496, 6635, 72413, 573, 4249, 1913, 14016, 139113, 236761, 138, 107, 236772, 5213, 3694, 9793, 66515, 124258, 496, 1944, 12539, 529, 201032, 78529, 1171, 531, 2426, 25725, 237028, 35277, 175981, 990, 618, 4354, 236761, 138, 108, 11069, 22892, 3732, 2473, 49233, 611, 3819, 236888, 236743, 243536, 248718, 15311, 15028, 1374, 692, 100257, 573, 822, 2780, 9685, 236858, 236751, 41628, 236881, 568, 236777, 236858, 236757, 52060, 8797, 808, 91414, 12191, 601, 107487, 236829, 237028, 59047, 1133, 496, 49253, 78529, 2907, 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, 158034, 236764, 496, 6334, 68065, 657, 39560, 4819, 236761, 564, 236789, 236757, 201585, 496, 56241, 18669, 573, 236743, 236770, 236810, 236771, 3272, 532, 1202, 531, 1900, 236743, 236770, 236771, 16258, 529, 808, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 236829, 684, 3587, 236761, 1572, 511, 173928, 236761, 564, 735, 506, 9447, 1204, 236787, 603, 236771, 236828, 236917, 236810, 180193, 236810, 213269, 236761, 5315, 236764, 1161, 974, 236779, 30053, 236779, 5930, 236779, 13308, 531, 2426, 506, 3385, 532, 15830, 236761, 1637, 506, 3385, 810, 4865, 563, 1208, 609, 236770, 236828, 532, 625, 236789, 236751, 528, 2862, 236764, 1299, 2619, 496, 7914, 1694, 7234, 573, 21186, 236743, 236770, 236771, 16258, 607, 496, 2779, 3433, 529, 2148, 7672, 236761, 1637, 711, 236764, 564, 236789, 859, 1202, 531, 1385, 573, 24277, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 827, 623, 9707, 1083, 236743, 236770, 236825, 236761, 236819, 236819, 236764, 623, 70686, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 174791, 8214, 573, 1494, 2528, 3272, 827, 623, 9818, 5254, 529, 6595, 56241, 14477, 827, 623, 80995, 16412, 532, 12524, 6035, 827, 623, 93510, 11221, 532, 21205, 3788, 11298, 99471, 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, 236770, 827, 623, 3250, 1083, 623, 9067, 236743, 236770, 236771, 16258, 529, 669, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 753, 18800, 236787, 12067, 7672, 827, 623, 4818, 1083, 623, 17138, 827, 623, 26303, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 25938, 106, 107, 105, 4368, 107, 818, 9593, 1698, 4889, 9128, 600, 808, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 236829, 568, 2371, 1204, 236787, 603, 236771, 236828, 236917, 236810, 180193, 236810, 213269, 236768, 563, 31979, 657, 5213, 236795, 236770, 236825, 236761, 236819, 236819, 810, 4865, 1018, 568, 6460, 609, 236770, 236828, 236768, 532, 5213, 495, 2862, 84750, 236743, 108, 236776, 7914, 1694, 7234, 815, 1010, 4464, 573, 21186, 236743, 236770, 236771, 16258, 607, 496, 2779, 3433, 529, 5213, 45262, 236764, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 84750, 669, 4209, 563, 1492, 14812, 532, 5508, 573, 14860, 236761, 236743, 108, 1018, 25713, 4361, 31571, 66515, 138, 107, 236772, 5213, 7396, 66515, 12045, 236743, 236770, 236771, 16258, 529, 808, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 236829, 753, 18800, 236787, 12067, 7672, 138, 107, 236772, 5213, 6717, 66515, 20236, 138, 107, 236772, 5213, 33192, 6809, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 7162, 607, 506, 1900, 653, 1202, 3342, 10686, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 158034, 236764, 496, 6334, 68065, 657, 39560, 4819, 236761, 564, 236789, 236757, 201585, 496, 56241, 18669, 573, 236743, 236770, 236810, 236771, 3272, 532, 1202, 531, 1900, 236743, 236770, 236771, 16258, 529, 808, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 236829, 684, 3587, 236761, 1572, 511, 173928, 236761, 564, 735, 506, 9447, 1204, 236787, 603, 236771, 236828, 236917, 236810, 180193, 236810, 213269, 236761, 5315, 236764, 1161, 974, 236779, 30053, 236779, 5930, 236779, 13308, 531, 2426, 506, 3385, 532, 15830, 236761, 1637, 506, 3385, 810, 4865, 563, 1208, 609, 236770, 236828, 532, 625, 236789, 236751, 528, 2862, 236764, 1299, 2619, 496, 7914, 1694, 7234, 573, 21186, 236743, 236770, 236771, 16258, 607, 496, 2779, 3433, 529, 2148, 7672, 236761, 1637, 711, 236764, 564, 236789, 859, 1202, 531, 1385, 573, 24277, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 827, 623, 9707, 1083, 236743, 236770, 236825, 236761, 236819, 236819, 236764, 623, 70686, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 174791, 8214, 573, 1494, 2528, 3272, 827, 623, 9818, 5254, 529, 6595, 56241, 14477, 827, 623, 80995, 16412, 532, 12524, 6035, 827, 623, 93510, 11221, 532, 21205, 3788, 11298, 99471, 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, 236770, 827, 623, 3250, 1083, 623, 9067, 236743, 236770, 236771, 16258, 529, 669, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 753, 18800, 236787, 12067, 7672, 827, 623, 4818, 1083, 623, 17138, 827, 623, 26303, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 25938, 106, 107, 105, 4368, 107, 818, 9593, 1698, 4889, 9128, 600, 808, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 236829, 568, 2371, 1204, 236787, 603, 236771, 236828, 236917, 236810, 180193, 236810, 213269, 236768, 563, 31979, 657, 5213, 236795, 236770, 236825, 236761, 236819, 236819, 810, 4865, 1018, 568, 6460, 609, 236770, 236828, 236768, 532, 5213, 495, 2862, 84750, 236743, 108, 236776, 7914, 1694, 7234, 815, 1010, 4464, 573, 21186, 236743, 236770, 236771, 16258, 607, 496, 2779, 3433, 529, 5213, 45262, 236764, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 84750, 669, 4209, 563, 1492, 14812, 532, 5508, 573, 14860, 236761, 236743, 108, 1018, 25713, 4361, 31571, 66515, 138, 107, 236772, 5213, 7396, 66515, 12045, 236743, 236770, 236771, 16258, 529, 808, 818, 17143, 529, 56241, 125951, 236787, 562, 15308, 573, 19291, 236829, 753, 18800, 236787, 12067, 7672, 138, 107, 236772, 5213, 6717, 66515, 20236, 138, 107, 236772, 5213, 33192, 6809, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 7162, 607, 506, 1900, 653, 1202, 3342, 10686, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102752, 768, 506, 3658, 756, 27752, 236789, 563, 614, 128592, 529, 756, 136657, 236789, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 496, 1292, 531, 2426, 573, 128592, 236751, 236761, 3153, 236764, 564, 740, 24473, 9128, 600, 623, 27752, 236775, 532, 623, 136657, 236775, 659, 128592, 236751, 684, 37007, 910, 11739, 236787, 108, 236772, 5213, 27752, 66515, 645, 236764, 564, 236764, 639, 236764, 646, 236764, 555, 236764, 558, 138, 107, 236772, 5213, 136657, 66515, 645, 236764, 564, 236764, 639, 236764, 646, 236764, 555, 236764, 558, 138, 108, 10081, 506, 19372, 11739, 4241, 236764, 901, 659, 128592, 236751, 236761, 2024, 2338, 951, 5904, 7519, 573, 672, 4209, 236764, 564, 3914, 1161, 1027, 529, 506, 3847, 5151, 531, 16807, 625, 1948, 73613, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102752, 768, 506, 3658, 756, 27752, 236789, 563, 614, 128592, 529, 756, 136657, 236789, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 496, 1292, 531, 2426, 573, 128592, 236751, 236761, 3153, 236764, 564, 740, 24473, 9128, 600, 623, 27752, 236775, 532, 623, 136657, 236775, 659, 128592, 236751, 684, 37007, 910, 11739, 236787, 108, 236772, 5213, 27752, 66515, 645, 236764, 564, 236764, 639, 236764, 646, 236764, 555, 236764, 558, 138, 107, 236772, 5213, 136657, 66515, 645, 236764, 564, 236764, 639, 236764, 646, 236764, 555, 236764, 558, 138, 108, 10081, 506, 19372, 11739, 4241, 236764, 901, 659, 128592, 236751, 236761, 2024, 2338, 951, 5904, 7519, 573, 672, 4209, 236764, 564, 3914, 1161, 1027, 529, 506, 3847, 5151, 531, 16807, 625, 1948, 73613, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1610, 19520, 528, 103680, 2148, 2297, 532, 1202, 822, 1601, 607, 6995, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 2426, 506, 1873, 7606, 3439, 528, 103680, 531, 5608, 3435, 11690, 37643, 236761, 28344, 611, 5091, 33205, 506, 7606, 1262, 573, 506, 4128, 236881, 17608, 528, 3666, 692, 2473, 1202, 531, 6253, 1023, 6614, 2721, 580, 506, 14415, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236770, 236828, 236761, 236810, 236764, 623, 19216, 1083, 623, 1655, 586, 35898, 827, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236761, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 52511, 236779, 6011, 1083, 3714, 23735, 1083, 623, 4874, 236743, 236770, 236812, 2668, 827, 623, 18553, 236779, 27495, 1083, 623, 236778, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 44340, 236779, 95852, 1083, 623, 236778, 236810, 70887, 623, 15879, 236779, 11243, 236779, 8572, 1083, 623, 236828, 236772, 236770, 236810, 7251, 236786, 236754, 827, 623, 2217, 742, 236779, 41907, 1083, 11058, 38837, 77077, 12399, 52098, 827, 623, 206487, 11139, 7436, 573, 11690, 4749, 152254, 623, 180981, 236779, 1516, 236779, 18700, 1083, 1847, 236764, 623, 85038, 567, 1083, 623, 112543, 19573, 10884, 28591, 236761, 14066, 17373, 2214, 6927, 83158, 6614, 573, 5453, 236772, 14808, 134376, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 1938, 573, 103680, 531, 1601, 2731, 822, 1610, 19520, 236787, 108, 1018, 8782, 32288, 53121, 107, 236772, 35267, 236787, 236743, 236770, 236828, 236761, 236810, 237366, 236780, 107, 236772, 17488, 236787, 216726, 35898, 107, 236772, 18324, 236787, 236743, 236770, 236771, 236761, 236778, 7251, 236786, 236754, 107, 236772, 208719, 236787, 236743, 236825, 236771, 236908, 107, 236772, 11662, 42841, 236787, 236743, 236770, 236810, 5142, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 1018, 236770, 236812, 236772, 13265, 74544, 25252, 53121, 107, 236772, 29748, 35267, 236787, 236743, 236778, 236778, 237366, 236780, 568, 63914, 573, 11690, 4749, 236768, 107, 236772, 212775, 61589, 236787, 236743, 236778, 236810, 236908, 568, 93424, 33743, 12399, 52098, 236768, 107, 236772, 18324, 20214, 236787, 236743, 236828, 236772, 236770, 236810, 7251, 236786, 236754, 107, 236772, 9533, 7918, 236787, 84432, 11139, 6782, 236764, 840, 2214, 6927, 83158, 6614, 10325, 573, 5453, 236772, 14808, 134376, 108, 1018, 211199, 53121, 107, 112543, 19573, 10884, 563, 28591, 236888, 669, 7606, 7412, 6816, 27661, 607, 18790, 11139, 236761, 3153, 236764, 1966, 236787, 107, 236770, 236761, 94109, 2198, 236772, 1048, 75658, 653, 59346, 573, 5453, 236772, 14808, 134376, 107, 236778, 236761, 153025, 11690, 5085, 6517, 528, 506, 1719, 531, 5571, 3435, 52098, 107, 236800, 236761, 20607, 21469, 21609, 9952, 2487, 573, 28697, 1610, 35490, 108, 38786, 611, 1133, 786, 531, 2426, 3530, 14069, 573, 506, 19520, 2069, 653, 2847, 9106, 580, 19573, 11273, 30981, 2721, 580, 1239, 7606, 9935, 236881, 106, 107, 105, 2364, 107, 818, 19520, 563, 14812, 573, 5505, 236743, 236770, 236778, 594, 236772, 236770, 236812, 594, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 28344, 611, 2426, 506, 7606, 14415, 10916, 573, 1724, 14069, 236881, 564, 236789, 236753, 1133, 531, 96820, 1023, 83158, 6614, 2721, 580, 18997, 1262, 573, 1724, 2668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236761, 236800, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 35898, 23179, 623, 52511, 1083, 3714, 32320, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 11480, 1083, 236743, 236778, 236825, 236764, 623, 976, 1083, 236743, 236770, 236828, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 11480, 1083, 236743, 236778, 236828, 236764, 623, 976, 1083, 236743, 236778, 236771, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 236779, 95852, 1083, 236743, 236810, 104960, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236825, 236764, 623, 77269, 1083, 236743, 236810, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236770, 236764, 623, 44340, 1083, 236743, 236771, 200808, 623, 25441, 1083, 623, 236755, 42024, 25938, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 19381, 753, 625, 7412, 1041, 3527, 5904, 3072, 1186, 5012, 1262, 1343, 5142, 236743, 236778, 236770, 540, 236761, 5612, 3124, 236789, 236751, 3433, 528, 506, 1458, 563, 5142, 236743, 236770, 236810, 594, 236764, 564, 740, 1186, 2802, 49054, 872, 531, 5142, 236743, 236778, 236819, 594, 568, 236770, 236812, 2668, 699, 1492, 769, 1701, 5505, 236743, 236770, 236778, 236772, 236770, 236812, 49054, 236764, 692, 236789, 859, 1202, 531, 4491, 3097, 12532, 531, 1724, 14069, 236761, 108, 9675, 236764, 2721, 580, 10944, 186100, 7606, 9935, 528, 5453, 236772, 30211, 236787, 107, 236772, 29748, 1494, 11139, 236787, 236743, 236800, 236771, 236772, 236800, 236778, 237366, 236780, 107, 236772, 145984, 90419, 9948, 236787, 2578, 236800, 236771, 236772, 236812, 236771, 236908, 107, 236772, 33299, 31992, 236787, 236743, 236825, 236771, 236772, 236832, 236771, 236908, 107, 236772, 18324, 23257, 236787, 236743, 236770, 236771, 236772, 236770, 236810, 7251, 236786, 236754, 108, 201430, 573, 822, 83158, 6614, 236787, 107, 236770, 236761, 22282, 77372, 23791, 9108, 532, 71552, 14996, 573, 13131, 107, 236778, 236761, 27468, 11690, 5085, 573, 76831, 1056, 90419, 18190, 659, 3718, 107, 236800, 236761, 50514, 35918, 13526, 573, 1610, 35490, 107, 236812, 236761, 14066, 2963, 21469, 22941, 9952, 2487, 573, 11519, 12399, 3885, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 3530, 83158, 28463, 653, 11273, 6614, 600, 1451, 981, 573, 1800, 17635, 532, 44808, 25521, 236881, 106, 107, 105, 2364, 107, 818, 7606, 5904, 5633, 3914, 33205, 1262, 6998, 5142, 236743, 236778, 236819, 594, 2779, 531, 1458, 3433, 15166, 568, 31524, 236787, 5142, 236743, 236770, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236810, 769, 3153, 236764, 564, 740, 12262, 496, 5213, 132457, 83158, 2731, 1018, 1699, 10944, 5453, 236772, 30211, 186100, 7606, 9935, 532, 11006, 29929, 28463, 573, 1800, 25521, 236761, 21284, 611, 1133, 786, 531, 7162, 607, 7107, 1239, 86019, 6614, 236764, 653, 1093, 611, 5278, 531, 4491, 3097, 12532, 531, 506, 2460, 14069, 1056, 506, 14415, 6775, 2487, 236881, 1637, 611, 9128, 26891, 607, 10944, 9935, 236764, 564, 236789, 859, 12262, 28463, 1492, 236761, 1637, 611, 5278, 9495, 236764, 564, 740, 1076, 496, 32272, 531, 2426, 1570, 580, 5213, 30211, 236743, 236770, 540, 1018, 568, 14730, 506, 236743, 236770, 236812, 236772, 1496, 14415, 795, 12975, 531, 5505, 236743, 236770, 236810, 594, 769, 106, 107, 105, 4368, 107, 236820, 132457, 236779, 106809, 236779, 8194, 236813, 138, 107, 26479, 506, 3433, 21183, 236764, 564, 236789, 859, 2619, 5213, 13498, 10616, 83158, 6614, 1018, 600, 611, 740, 7535, 618, 506, 14415, 6775, 2487, 236787, 138, 108, 1018, 21817, 562, 568, 18318, 236772, 86909, 638, 114793, 1473, 1018, 138, 107, 236772, 76957, 24859, 236787, 60217, 78553, 236764, 3213, 580, 71552, 14996, 138, 107, 236772, 4585, 6733, 236787, 19296, 236772, 36954, 53032, 573, 58435, 138, 107, 236772, 95748, 5931, 236787, 45479, 16204, 3797, 236764, 92332, 233024, 138, 108, 1018, 21817, 603, 568, 45060, 236772, 141867, 114793, 1473, 1018, 138, 107, 236772, 76957, 11273, 236787, 4471, 18941, 740, 98148, 607, 6927, 123919, 138, 107, 236772, 4585, 6733, 236787, 123929, 3034, 3636, 236764, 23464, 14175, 138, 107, 236772, 95748, 2727, 236787, 174914, 21469, 24099, 16266, 607, 15678, 6541, 26401, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 1800, 6614, 607, 2561, 236786, 89149, 210943, 236881, 138, 107, 236778, 236761, 8600, 496, 4893, 10318, 531, 1601, 822, 2434, 38179, 1534, 6614, 618, 506, 14415, 164552, 236881, 138, 108, 954, 132457, 236779, 106809, 236779, 8194, 236813, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1610, 19520, 528, 103680, 2148, 2297, 532, 1202, 822, 1601, 607, 6995, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 2426, 506, 1873, 7606, 3439, 528, 103680, 531, 5608, 3435, 11690, 37643, 236761, 28344, 611, 5091, 33205, 506, 7606, 1262, 573, 506, 4128, 236881, 17608, 528, 3666, 692, 2473, 1202, 531, 6253, 1023, 6614, 2721, 580, 506, 14415, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236770, 236828, 236761, 236810, 236764, 623, 19216, 1083, 623, 1655, 586, 35898, 827, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236761, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 52511, 236779, 6011, 1083, 3714, 23735, 1083, 623, 4874, 236743, 236770, 236812, 2668, 827, 623, 18553, 236779, 27495, 1083, 623, 236778, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 44340, 236779, 95852, 1083, 623, 236778, 236810, 70887, 623, 15879, 236779, 11243, 236779, 8572, 1083, 623, 236828, 236772, 236770, 236810, 7251, 236786, 236754, 827, 623, 2217, 742, 236779, 41907, 1083, 11058, 38837, 77077, 12399, 52098, 827, 623, 206487, 11139, 7436, 573, 11690, 4749, 152254, 623, 180981, 236779, 1516, 236779, 18700, 1083, 1847, 236764, 623, 85038, 567, 1083, 623, 112543, 19573, 10884, 28591, 236761, 14066, 17373, 2214, 6927, 83158, 6614, 573, 5453, 236772, 14808, 134376, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 1938, 573, 103680, 531, 1601, 2731, 822, 1610, 19520, 236787, 108, 1018, 8782, 32288, 53121, 107, 236772, 35267, 236787, 236743, 236770, 236828, 236761, 236810, 237366, 236780, 107, 236772, 17488, 236787, 216726, 35898, 107, 236772, 18324, 236787, 236743, 236770, 236771, 236761, 236778, 7251, 236786, 236754, 107, 236772, 208719, 236787, 236743, 236825, 236771, 236908, 107, 236772, 11662, 42841, 236787, 236743, 236770, 236810, 5142, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 1018, 236770, 236812, 236772, 13265, 74544, 25252, 53121, 107, 236772, 29748, 35267, 236787, 236743, 236778, 236778, 237366, 236780, 568, 63914, 573, 11690, 4749, 236768, 107, 236772, 212775, 61589, 236787, 236743, 236778, 236810, 236908, 568, 93424, 33743, 12399, 52098, 236768, 107, 236772, 18324, 20214, 236787, 236743, 236828, 236772, 236770, 236810, 7251, 236786, 236754, 107, 236772, 9533, 7918, 236787, 84432, 11139, 6782, 236764, 840, 2214, 6927, 83158, 6614, 10325, 573, 5453, 236772, 14808, 134376, 108, 1018, 211199, 53121, 107, 112543, 19573, 10884, 563, 28591, 236888, 669, 7606, 7412, 6816, 27661, 607, 18790, 11139, 236761, 3153, 236764, 1966, 236787, 107, 236770, 236761, 94109, 2198, 236772, 1048, 75658, 653, 59346, 573, 5453, 236772, 14808, 134376, 107, 236778, 236761, 153025, 11690, 5085, 6517, 528, 506, 1719, 531, 5571, 3435, 52098, 107, 236800, 236761, 20607, 21469, 21609, 9952, 2487, 573, 28697, 1610, 35490, 108, 38786, 611, 1133, 786, 531, 2426, 3530, 14069, 573, 506, 19520, 2069, 653, 2847, 9106, 580, 19573, 11273, 30981, 2721, 580, 1239, 7606, 9935, 236881, 106, 107, 105, 2364, 107, 818, 19520, 563, 14812, 573, 5505, 236743, 236770, 236778, 594, 236772, 236770, 236812, 594, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 28344, 611, 2426, 506, 7606, 14415, 10916, 573, 1724, 14069, 236881, 564, 236789, 236753, 1133, 531, 96820, 1023, 83158, 6614, 2721, 580, 18997, 1262, 573, 1724, 2668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236761, 236800, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 35898, 23179, 623, 52511, 1083, 3714, 32320, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 11480, 1083, 236743, 236778, 236825, 236764, 623, 976, 1083, 236743, 236770, 236828, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 44340, 236779, 95852, 1083, 236743, 236770, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 11480, 1083, 236743, 236778, 236828, 236764, 623, 976, 1083, 236743, 236778, 236771, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 236779, 95852, 1083, 236743, 236810, 104960, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 44340, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236825, 236764, 623, 77269, 1083, 236743, 236810, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236770, 236764, 623, 44340, 1083, 236743, 236771, 200808, 623, 25441, 1083, 623, 236755, 42024, 25938, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 19381, 753, 625, 7412, 1041, 3527, 5904, 3072, 1186, 5012, 1262, 1343, 5142, 236743, 236778, 236770, 540, 236761, 5612, 3124, 236789, 236751, 3433, 528, 506, 1458, 563, 5142, 236743, 236770, 236810, 594, 236764, 564, 740, 1186, 2802, 49054, 872, 531, 5142, 236743, 236778, 236819, 594, 568, 236770, 236812, 2668, 699, 1492, 769, 1701, 5505, 236743, 236770, 236778, 236772, 236770, 236812, 49054, 236764, 692, 236789, 859, 1202, 531, 4491, 3097, 12532, 531, 1724, 14069, 236761, 108, 9675, 236764, 2721, 580, 10944, 186100, 7606, 9935, 528, 5453, 236772, 30211, 236787, 107, 236772, 29748, 1494, 11139, 236787, 236743, 236800, 236771, 236772, 236800, 236778, 237366, 236780, 107, 236772, 145984, 90419, 9948, 236787, 2578, 236800, 236771, 236772, 236812, 236771, 236908, 107, 236772, 33299, 31992, 236787, 236743, 236825, 236771, 236772, 236832, 236771, 236908, 107, 236772, 18324, 23257, 236787, 236743, 236770, 236771, 236772, 236770, 236810, 7251, 236786, 236754, 108, 201430, 573, 822, 83158, 6614, 236787, 107, 236770, 236761, 22282, 77372, 23791, 9108, 532, 71552, 14996, 573, 13131, 107, 236778, 236761, 27468, 11690, 5085, 573, 76831, 1056, 90419, 18190, 659, 3718, 107, 236800, 236761, 50514, 35918, 13526, 573, 1610, 35490, 107, 236812, 236761, 14066, 2963, 21469, 22941, 9952, 2487, 573, 11519, 12399, 3885, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 3530, 83158, 28463, 653, 11273, 6614, 600, 1451, 981, 573, 1800, 17635, 532, 44808, 25521, 236881, 106, 107, 105, 2364, 107, 818, 7606, 5904, 5633, 3914, 33205, 1262, 6998, 5142, 236743, 236778, 236819, 594, 2779, 531, 1458, 3433, 15166, 568, 31524, 236787, 5142, 236743, 236770, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236810, 769, 3153, 236764, 564, 740, 12262, 496, 5213, 132457, 83158, 2731, 1018, 1699, 10944, 5453, 236772, 30211, 186100, 7606, 9935, 532, 11006, 29929, 28463, 573, 1800, 25521, 236761, 21284, 611, 1133, 786, 531, 7162, 607, 7107, 1239, 86019, 6614, 236764, 653, 1093, 611, 5278, 531, 4491, 3097, 12532, 531, 506, 2460, 14069, 1056, 506, 14415, 6775, 2487, 236881, 1637, 611, 9128, 26891, 607, 10944, 9935, 236764, 564, 236789, 859, 12262, 28463, 1492, 236761, 1637, 611, 5278, 9495, 236764, 564, 740, 1076, 496, 32272, 531, 2426, 1570, 580, 5213, 30211, 236743, 236770, 540, 1018, 568, 14730, 506, 236743, 236770, 236812, 236772, 1496, 14415, 795, 12975, 531, 5505, 236743, 236770, 236810, 594, 769, 106, 107, 105, 4368, 107, 236820, 132457, 236779, 106809, 236779, 8194, 236813, 138, 107, 26479, 506, 3433, 21183, 236764, 564, 236789, 859, 2619, 5213, 13498, 10616, 83158, 6614, 1018, 600, 611, 740, 7535, 618, 506, 14415, 6775, 2487, 236787, 138, 108, 1018, 21817, 562, 568, 18318, 236772, 86909, 638, 114793, 1473, 1018, 138, 107, 236772, 76957, 24859, 236787, 60217, 78553, 236764, 3213, 580, 71552, 14996, 138, 107, 236772, 4585, 6733, 236787, 19296, 236772, 36954, 53032, 573, 58435, 138, 107, 236772, 95748, 5931, 236787, 45479, 16204, 3797, 236764, 92332, 233024, 138, 108, 1018, 21817, 603, 568, 45060, 236772, 141867, 114793, 1473, 1018, 138, 107, 236772, 76957, 11273, 236787, 4471, 18941, 740, 98148, 607, 6927, 123919, 138, 107, 236772, 4585, 6733, 236787, 123929, 3034, 3636, 236764, 23464, 14175, 138, 107, 236772, 95748, 2727, 236787, 174914, 21469, 24099, 16266, 607, 15678, 6541, 26401, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 1800, 6614, 607, 2561, 236786, 89149, 210943, 236881, 138, 107, 236778, 236761, 8600, 496, 4893, 10318, 531, 1601, 822, 2434, 38179, 1534, 6614, 618, 506, 14415, 164552, 236881, 138, 108, 954, 132457, 236779, 106809, 236779, 8194, 236813, 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, 32187, 4155, 3736, 1262, 573, 614, 16038, 123789, 2072, 236761, 3199, 611, 12270, 506, 153819, 1262, 573, 85635, 83269, 1438, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 71836, 4841, 3409, 3736, 1699, 506, 4155, 236779, 80391, 5904, 236881, 1174, 795, 1601, 786, 8701, 914, 94010, 28386, 532, 1573, 1023, 25501, 11298, 2342, 506, 146628, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 5000, 236779, 547, 1083, 236743, 236770, 236778, 236819, 236819, 236812, 236764, 623, 19458, 236779, 547, 1083, 236743, 236800, 236832, 236770, 236825, 236832, 236764, 623, 50001, 236779, 547, 1083, 236743, 236800, 236812, 236764, 623, 80391, 236779, 1516, 1083, 3714, 23362, 236779, 5521, 236779, 44384, 1083, 3714, 13873, 236779, 236770, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 13873, 236779, 236778, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 13873, 236779, 236800, 1083, 236743, 236771, 236761, 236832, 236828, 1263, 623, 3593, 522, 236779, 9341, 54674, 1083, 78493, 236781, 1083, 236743, 236770, 236778, 236761, 236800, 236764, 623, 236762, 1083, 236743, 236812, 236810, 236761, 236825, 236764, 623, 80384, 1083, 236743, 236771, 236761, 236819, 236832, 1263, 3714, 236781, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 236762, 1083, 236743, 236800, 236828, 236761, 236812, 236764, 623, 80384, 1083, 236743, 236771, 236761, 236819, 236770, 1263, 3714, 236781, 1083, 236743, 236778, 236778, 236761, 236832, 236764, 623, 236762, 1083, 236743, 236810, 236800, 236761, 236778, 236764, 623, 80384, 1083, 236743, 236771, 236761, 236828, 236828, 104960, 623, 2063, 4410, 236779, 70687, 1083, 236743, 236771, 236761, 236819, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 153819, 3671, 573, 85635, 83269, 1438, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 71836, 4841, 3409, 3736, 236787, 108, 1018, 4222, 4410, 85406, 120735, 53121, 107, 236772, 27773, 236743, 236770, 568, 32663, 20214, 1473, 236743, 236819, 236778, 236908, 12606, 568, 143521, 236768, 107, 236772, 27773, 236743, 236778, 568, 82793, 76217, 1473, 236743, 236828, 236810, 236908, 12606, 568, 22468, 236768, 107, 236772, 27773, 236743, 236800, 568, 136074, 3398, 12094, 236762, 1473, 236743, 236832, 236828, 236908, 12606, 568, 15466, 840, 15846, 5070, 236768, 108, 1018, 4394, 522, 8297, 54674, 53121, 107, 236770, 236761, 4819, 236772, 80384, 10202, 657, 568, 236770, 236778, 236761, 236800, 236764, 236743, 236812, 236810, 236761, 236825, 236768, 753, 236743, 236819, 236832, 236908, 4588, 568, 20941, 5905, 1441, 15992, 2433, 236768, 107, 236778, 236761, 43052, 102071, 657, 568, 236770, 236828, 236761, 236770, 236764, 236743, 236800, 236828, 236761, 236812, 236768, 753, 236743, 236819, 236770, 236908, 4588, 107, 236800, 236761, 156329, 10202, 657, 568, 236778, 236778, 236761, 236832, 236764, 236743, 236810, 236800, 236761, 236778, 236768, 753, 236743, 236828, 236828, 236908, 4588, 108, 1018, 33062, 153119, 71293, 53121, 236743, 236819, 236812, 236908, 568, 58388, 1984, 236768, 108, 1018, 165108, 103057, 53121, 107, 236770, 236761, 22282, 77372, 24285, 531, 27773, 236743, 236800, 568, 236832, 236828, 236908, 12606, 236768, 618, 672, 9282, 914, 101936, 12606, 2433, 107, 236778, 236761, 39874, 914, 5905, 102071, 2433, 568, 236770, 236778, 236761, 236800, 236764, 236812, 236810, 236761, 236825, 236768, 1298, 668, 6192, 236743, 236819, 236832, 236908, 529, 20160, 107, 236800, 236761, 4923, 1494, 25501, 9286, 12205, 1202, 573, 23225, 3225, 4710, 531, 1594, 914, 3774, 6332, 107, 236812, 236761, 11873, 46461, 506, 11302, 1534, 27773, 236743, 236770, 532, 27773, 236743, 236778, 12606, 4106, 108, 38786, 611, 1133, 786, 531, 2847, 3530, 62527, 7545, 15136, 2721, 580, 672, 1262, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 2721, 580, 506, 153819, 3671, 236764, 564, 1202, 3530, 62527, 7545, 15136, 236761, 28344, 611, 992, 4071, 236772, 30449, 672, 607, 1027, 4803, 22555, 653, 11461, 699, 83269, 1438, 531, 8701, 23556, 5872, 600, 2473, 7630, 914, 141070, 3736, 236881, 6890, 506, 18840, 236779, 66387, 5904, 580, 1027, 2487, 12657, 699, 1515, 672, 3409, 531, 6054, 768, 993, 659, 1027, 10805, 9935, 653, 4204, 3298, 692, 1451, 38755, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1668, 3530, 62527, 11298, 2721, 580, 506, 153819, 532, 3421, 506, 23556, 3671, 5280, 236761, 3153, 236764, 564, 1202, 531, 37386, 16305, 8859, 83269, 1438, 236789, 236751, 22555, 236787, 108, 1018, 50855, 1493, 34428, 91330, 53121, 107, 236770, 236761, 5213, 39889, 236743, 236800, 132696, 1018, 753, 30235, 580, 24285, 3866, 20160, 236786, 52807, 66117, 531, 27773, 236743, 236800, 568, 236832, 236828, 236908, 12606, 236768, 1699, 236787, 107, 139, 236772, 35197, 236772, 725, 60956, 531, 506, 11688, 2135, 107, 139, 236772, 603, 20645, 8403, 568, 35397, 17213, 1412, 8797, 27773, 236743, 236800, 236768, 107, 139, 236772, 640, 3935, 4977, 506, 32149, 607, 37981, 580, 3225, 108, 236778, 236761, 5213, 9057, 19222, 157163, 5135, 1018, 753, 6890, 11688, 236772, 3593, 24285, 531, 236787, 107, 139, 236772, 42800, 506, 11302, 1534, 914, 5905, 12606, 568, 39889, 236743, 236770, 236768, 532, 9239, 5370, 568, 39889, 236743, 236778, 236768, 107, 139, 236772, 15150, 1515, 531, 1386, 3909, 1063, 4240, 10772, 108, 236800, 236761, 5213, 28151, 61807, 33582, 1018, 753, 41276, 236787, 107, 139, 236772, 29669, 35295, 3225, 4710, 607, 40903, 531, 914, 2378, 2678, 107, 139, 236772, 183014, 17213, 1412, 531, 4988, 9160, 699, 4168, 3225, 108, 236812, 236761, 5213, 100651, 3725, 14390, 1018, 753, 6890, 236787, 107, 139, 236772, 23881, 236772, 624, 236772, 4503, 10772, 531, 2619, 19262, 107, 139, 236772, 156501, 12861, 13909, 5428, 2342, 914, 141070, 34824, 108, 1018, 73106, 3535, 13768, 18365, 53121, 107, 236777, 5633, 3914, 5467, 2802, 653, 33205, 83269, 1438, 236789, 236751, 22555, 653, 1237, 11461, 568, 1904, 2487, 5904, 573, 7194, 51139, 769, 3153, 236764, 768, 611, 740, 2847, 3530, 12657, 653, 67148, 699, 914, 4803, 22555, 236764, 564, 740, 236787, 107, 236770, 236761, 6890, 506, 2165, 187671, 236779, 66387, 236929, 5904, 531, 8701, 236787, 107, 139, 236772, 115903, 9935, 528, 914, 5192, 107, 139, 236772, 43378, 25268, 653, 4204, 3298, 107, 139, 236772, 105701, 12996, 2699, 600, 2473, 4208, 3736, 108, 236778, 236761, 12713, 236772, 30449, 1239, 12396, 607, 236787, 107, 139, 236772, 34641, 3736, 1262, 107, 139, 236772, 215696, 9286, 19455, 107, 139, 236772, 61378, 1353, 25501, 66028, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 10867, 688, 506, 62527, 11298, 3342, 2721, 580, 1027, 3530, 2434, 4403, 236881, 107, 236778, 236761, 121353, 3847, 12657, 768, 611, 740, 4024, 83269, 1438, 236789, 236751, 4803, 11461, 236881, 107, 236800, 236761, 59336, 3435, 23556, 4204, 3298, 2721, 580, 141070, 9935, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1531, 236789, 236751, 7162, 607, 5086, 236743, 236800, 753, 3600, 3435, 23556, 4204, 3298, 2721, 580, 914, 141070, 9935, 236761, 1701, 2591, 236764, 1451, 914, 1494, 9286, 528, 120735, 236743, 236770, 236786, 236778, 840, 3718, 12606, 528, 27773, 236743, 236800, 2619, 15846, 5070, 9069, 9935, 236881, 6542, 236764, 1451, 611, 8729, 496, 62954, 123789, 2072, 12323, 37803, 1800, 506, 153819, 1262, 532, 1239, 53946, 23556, 5872, 1699, 506, 2619, 236779, 3274, 5904, 236881, 1174, 1093, 1601, 786, 50611, 506, 4133, 7545, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 9185, 236832, 236828, 236819, 236771, 236770, 827, 623, 4818, 1083, 623, 32071, 827, 623, 3250, 1083, 623, 236797, 40707, 83269, 1438, 196436, 8708, 236787, 153119, 74395, 169698, 833, 81487, 37615, 36526, 827, 623, 19112, 1083, 11058, 236865, 3900, 32293, 15764, 827, 13659, 150408, 42928, 827, 13659, 4222, 4410, 88634, 827, 13659, 73106, 3535, 78115, 99471, 106, 107, 105, 4368, 107, 11069, 13611, 123789, 2072, 815, 1010, 10428, 4464, 568, 7118, 5853, 236787, 25544, 236832, 236828, 236819, 236771, 236770, 236768, 607, 506, 2269, 14971, 4820, 236787, 108, 1018, 3503, 81487, 37615, 36526, 229414, 53121, 107, 236770, 236761, 5213, 39889, 236743, 236800, 799, 11205, 27916, 1018, 138, 107, 139, 236772, 236743, 236770, 236812, 236908, 7266, 236772, 2865, 528, 12606, 14004, 49022, 22702, 138, 107, 139, 236772, 32180, 529, 109197, 1024, 22756, 5830, 531, 25501, 9825, 138, 107, 139, 236772, 44659, 47688, 15846, 5070, 1343, 49438, 15414, 28494, 108, 236778, 236761, 5213, 5141, 9260, 1929, 236772, 201684, 159037, 1018, 138, 107, 139, 236772, 236743, 236819, 236812, 236908, 9286, 14004, 144683, 14682, 138, 107, 139, 236772, 35588, 236772, 5567, 39850, 3435, 699, 27773, 236743, 236800, 3930, 45139, 138, 107, 139, 236772, 85708, 1534, 3649, 27773, 236743, 236800, 28307, 532, 236743, 236832, 594, 236772, 160722, 136031, 108, 236800, 236761, 5213, 28151, 61807, 7178, 141432, 1018, 138, 107, 139, 236772, 236743, 236819, 236832, 236908, 102071, 9286, 52453, 1024, 58578, 528, 66712, 12983, 138, 107, 139, 236772, 14034, 1143, 3092, 531, 14089, 135159, 11298, 138, 107, 139, 236772, 216470, 12047, 531, 5111, 66117, 528, 30841, 20874, 108, 1018, 15764, 27938, 70731, 53121, 138, 107, 240732, 40170, 16422, 236772, 5140, 229463, 11298, 568, 236778, 236778, 236761, 236832, 236764, 236810, 236800, 236761, 236778, 3213, 236768, 138, 107, 240732, 799, 1261, 236772, 15396, 4204, 21238, 568, 39889, 236743, 236800, 28307, 1680, 236743, 236810, 594, 48558, 236768, 138, 107, 240732, 10116, 4710, 57698, 19455, 19240, 531, 25501, 28994, 9935, 138, 108, 818, 2072, 563, 56188, 607, 997, 3900, 32293, 15764, 236764, 997, 150408, 42928, 236764, 997, 4222, 4410, 88634, 236764, 532, 997, 73106, 3535, 78115, 573, 3735, 5577, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43165, 672, 618, 496, 48246, 16553, 8652, 236881, 138, 107, 236778, 236761, 6521, 496, 4155, 236772, 15396, 6651, 236772, 65270, 27868, 8289, 236881, 138, 107, 236800, 236761, 204164, 25501, 6608, 25521, 2721, 580, 1239, 9935, 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 ]
[ 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, 32187, 4155, 3736, 1262, 573, 614, 16038, 123789, 2072, 236761, 3199, 611, 12270, 506, 153819, 1262, 573, 85635, 83269, 1438, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 71836, 4841, 3409, 3736, 1699, 506, 4155, 236779, 80391, 5904, 236881, 1174, 795, 1601, 786, 8701, 914, 94010, 28386, 532, 1573, 1023, 25501, 11298, 2342, 506, 146628, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 5000, 236779, 547, 1083, 236743, 236770, 236778, 236819, 236819, 236812, 236764, 623, 19458, 236779, 547, 1083, 236743, 236800, 236832, 236770, 236825, 236832, 236764, 623, 50001, 236779, 547, 1083, 236743, 236800, 236812, 236764, 623, 80391, 236779, 1516, 1083, 3714, 23362, 236779, 5521, 236779, 44384, 1083, 3714, 13873, 236779, 236770, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 13873, 236779, 236778, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 13873, 236779, 236800, 1083, 236743, 236771, 236761, 236832, 236828, 1263, 623, 3593, 522, 236779, 9341, 54674, 1083, 78493, 236781, 1083, 236743, 236770, 236778, 236761, 236800, 236764, 623, 236762, 1083, 236743, 236812, 236810, 236761, 236825, 236764, 623, 80384, 1083, 236743, 236771, 236761, 236819, 236832, 1263, 3714, 236781, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 236762, 1083, 236743, 236800, 236828, 236761, 236812, 236764, 623, 80384, 1083, 236743, 236771, 236761, 236819, 236770, 1263, 3714, 236781, 1083, 236743, 236778, 236778, 236761, 236832, 236764, 623, 236762, 1083, 236743, 236810, 236800, 236761, 236778, 236764, 623, 80384, 1083, 236743, 236771, 236761, 236828, 236828, 104960, 623, 2063, 4410, 236779, 70687, 1083, 236743, 236771, 236761, 236819, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 153819, 3671, 573, 85635, 83269, 1438, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 71836, 4841, 3409, 3736, 236787, 108, 1018, 4222, 4410, 85406, 120735, 53121, 107, 236772, 27773, 236743, 236770, 568, 32663, 20214, 1473, 236743, 236819, 236778, 236908, 12606, 568, 143521, 236768, 107, 236772, 27773, 236743, 236778, 568, 82793, 76217, 1473, 236743, 236828, 236810, 236908, 12606, 568, 22468, 236768, 107, 236772, 27773, 236743, 236800, 568, 136074, 3398, 12094, 236762, 1473, 236743, 236832, 236828, 236908, 12606, 568, 15466, 840, 15846, 5070, 236768, 108, 1018, 4394, 522, 8297, 54674, 53121, 107, 236770, 236761, 4819, 236772, 80384, 10202, 657, 568, 236770, 236778, 236761, 236800, 236764, 236743, 236812, 236810, 236761, 236825, 236768, 753, 236743, 236819, 236832, 236908, 4588, 568, 20941, 5905, 1441, 15992, 2433, 236768, 107, 236778, 236761, 43052, 102071, 657, 568, 236770, 236828, 236761, 236770, 236764, 236743, 236800, 236828, 236761, 236812, 236768, 753, 236743, 236819, 236770, 236908, 4588, 107, 236800, 236761, 156329, 10202, 657, 568, 236778, 236778, 236761, 236832, 236764, 236743, 236810, 236800, 236761, 236778, 236768, 753, 236743, 236828, 236828, 236908, 4588, 108, 1018, 33062, 153119, 71293, 53121, 236743, 236819, 236812, 236908, 568, 58388, 1984, 236768, 108, 1018, 165108, 103057, 53121, 107, 236770, 236761, 22282, 77372, 24285, 531, 27773, 236743, 236800, 568, 236832, 236828, 236908, 12606, 236768, 618, 672, 9282, 914, 101936, 12606, 2433, 107, 236778, 236761, 39874, 914, 5905, 102071, 2433, 568, 236770, 236778, 236761, 236800, 236764, 236812, 236810, 236761, 236825, 236768, 1298, 668, 6192, 236743, 236819, 236832, 236908, 529, 20160, 107, 236800, 236761, 4923, 1494, 25501, 9286, 12205, 1202, 573, 23225, 3225, 4710, 531, 1594, 914, 3774, 6332, 107, 236812, 236761, 11873, 46461, 506, 11302, 1534, 27773, 236743, 236770, 532, 27773, 236743, 236778, 12606, 4106, 108, 38786, 611, 1133, 786, 531, 2847, 3530, 62527, 7545, 15136, 2721, 580, 672, 1262, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 2721, 580, 506, 153819, 3671, 236764, 564, 1202, 3530, 62527, 7545, 15136, 236761, 28344, 611, 992, 4071, 236772, 30449, 672, 607, 1027, 4803, 22555, 653, 11461, 699, 83269, 1438, 531, 8701, 23556, 5872, 600, 2473, 7630, 914, 141070, 3736, 236881, 6890, 506, 18840, 236779, 66387, 5904, 580, 1027, 2487, 12657, 699, 1515, 672, 3409, 531, 6054, 768, 993, 659, 1027, 10805, 9935, 653, 4204, 3298, 692, 1451, 38755, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1668, 3530, 62527, 11298, 2721, 580, 506, 153819, 532, 3421, 506, 23556, 3671, 5280, 236761, 3153, 236764, 564, 1202, 531, 37386, 16305, 8859, 83269, 1438, 236789, 236751, 22555, 236787, 108, 1018, 50855, 1493, 34428, 91330, 53121, 107, 236770, 236761, 5213, 39889, 236743, 236800, 132696, 1018, 753, 30235, 580, 24285, 3866, 20160, 236786, 52807, 66117, 531, 27773, 236743, 236800, 568, 236832, 236828, 236908, 12606, 236768, 1699, 236787, 107, 139, 236772, 35197, 236772, 725, 60956, 531, 506, 11688, 2135, 107, 139, 236772, 603, 20645, 8403, 568, 35397, 17213, 1412, 8797, 27773, 236743, 236800, 236768, 107, 139, 236772, 640, 3935, 4977, 506, 32149, 607, 37981, 580, 3225, 108, 236778, 236761, 5213, 9057, 19222, 157163, 5135, 1018, 753, 6890, 11688, 236772, 3593, 24285, 531, 236787, 107, 139, 236772, 42800, 506, 11302, 1534, 914, 5905, 12606, 568, 39889, 236743, 236770, 236768, 532, 9239, 5370, 568, 39889, 236743, 236778, 236768, 107, 139, 236772, 15150, 1515, 531, 1386, 3909, 1063, 4240, 10772, 108, 236800, 236761, 5213, 28151, 61807, 33582, 1018, 753, 41276, 236787, 107, 139, 236772, 29669, 35295, 3225, 4710, 607, 40903, 531, 914, 2378, 2678, 107, 139, 236772, 183014, 17213, 1412, 531, 4988, 9160, 699, 4168, 3225, 108, 236812, 236761, 5213, 100651, 3725, 14390, 1018, 753, 6890, 236787, 107, 139, 236772, 23881, 236772, 624, 236772, 4503, 10772, 531, 2619, 19262, 107, 139, 236772, 156501, 12861, 13909, 5428, 2342, 914, 141070, 34824, 108, 1018, 73106, 3535, 13768, 18365, 53121, 107, 236777, 5633, 3914, 5467, 2802, 653, 33205, 83269, 1438, 236789, 236751, 22555, 653, 1237, 11461, 568, 1904, 2487, 5904, 573, 7194, 51139, 769, 3153, 236764, 768, 611, 740, 2847, 3530, 12657, 653, 67148, 699, 914, 4803, 22555, 236764, 564, 740, 236787, 107, 236770, 236761, 6890, 506, 2165, 187671, 236779, 66387, 236929, 5904, 531, 8701, 236787, 107, 139, 236772, 115903, 9935, 528, 914, 5192, 107, 139, 236772, 43378, 25268, 653, 4204, 3298, 107, 139, 236772, 105701, 12996, 2699, 600, 2473, 4208, 3736, 108, 236778, 236761, 12713, 236772, 30449, 1239, 12396, 607, 236787, 107, 139, 236772, 34641, 3736, 1262, 107, 139, 236772, 215696, 9286, 19455, 107, 139, 236772, 61378, 1353, 25501, 66028, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 10867, 688, 506, 62527, 11298, 3342, 2721, 580, 1027, 3530, 2434, 4403, 236881, 107, 236778, 236761, 121353, 3847, 12657, 768, 611, 740, 4024, 83269, 1438, 236789, 236751, 4803, 11461, 236881, 107, 236800, 236761, 59336, 3435, 23556, 4204, 3298, 2721, 580, 141070, 9935, 236881, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 1531, 236789, 236751, 7162, 607, 5086, 236743, 236800, 753, 3600, 3435, 23556, 4204, 3298, 2721, 580, 914, 141070, 9935, 236761, 1701, 2591, 236764, 1451, 914, 1494, 9286, 528, 120735, 236743, 236770, 236786, 236778, 840, 3718, 12606, 528, 27773, 236743, 236800, 2619, 15846, 5070, 9069, 9935, 236881, 6542, 236764, 1451, 611, 8729, 496, 62954, 123789, 2072, 12323, 37803, 1800, 506, 153819, 1262, 532, 1239, 53946, 23556, 5872, 1699, 506, 2619, 236779, 3274, 5904, 236881, 1174, 1093, 1601, 786, 50611, 506, 4133, 7545, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 9185, 236832, 236828, 236819, 236771, 236770, 827, 623, 4818, 1083, 623, 32071, 827, 623, 3250, 1083, 623, 236797, 40707, 83269, 1438, 196436, 8708, 236787, 153119, 74395, 169698, 833, 81487, 37615, 36526, 827, 623, 19112, 1083, 11058, 236865, 3900, 32293, 15764, 827, 13659, 150408, 42928, 827, 13659, 4222, 4410, 88634, 827, 13659, 73106, 3535, 78115, 99471, 106, 107, 105, 4368, 107, 11069, 13611, 123789, 2072, 815, 1010, 10428, 4464, 568, 7118, 5853, 236787, 25544, 236832, 236828, 236819, 236771, 236770, 236768, 607, 506, 2269, 14971, 4820, 236787, 108, 1018, 3503, 81487, 37615, 36526, 229414, 53121, 107, 236770, 236761, 5213, 39889, 236743, 236800, 799, 11205, 27916, 1018, 138, 107, 139, 236772, 236743, 236770, 236812, 236908, 7266, 236772, 2865, 528, 12606, 14004, 49022, 22702, 138, 107, 139, 236772, 32180, 529, 109197, 1024, 22756, 5830, 531, 25501, 9825, 138, 107, 139, 236772, 44659, 47688, 15846, 5070, 1343, 49438, 15414, 28494, 108, 236778, 236761, 5213, 5141, 9260, 1929, 236772, 201684, 159037, 1018, 138, 107, 139, 236772, 236743, 236819, 236812, 236908, 9286, 14004, 144683, 14682, 138, 107, 139, 236772, 35588, 236772, 5567, 39850, 3435, 699, 27773, 236743, 236800, 3930, 45139, 138, 107, 139, 236772, 85708, 1534, 3649, 27773, 236743, 236800, 28307, 532, 236743, 236832, 594, 236772, 160722, 136031, 108, 236800, 236761, 5213, 28151, 61807, 7178, 141432, 1018, 138, 107, 139, 236772, 236743, 236819, 236832, 236908, 102071, 9286, 52453, 1024, 58578, 528, 66712, 12983, 138, 107, 139, 236772, 14034, 1143, 3092, 531, 14089, 135159, 11298, 138, 107, 139, 236772, 216470, 12047, 531, 5111, 66117, 528, 30841, 20874, 108, 1018, 15764, 27938, 70731, 53121, 138, 107, 240732, 40170, 16422, 236772, 5140, 229463, 11298, 568, 236778, 236778, 236761, 236832, 236764, 236810, 236800, 236761, 236778, 3213, 236768, 138, 107, 240732, 799, 1261, 236772, 15396, 4204, 21238, 568, 39889, 236743, 236800, 28307, 1680, 236743, 236810, 594, 48558, 236768, 138, 107, 240732, 10116, 4710, 57698, 19455, 19240, 531, 25501, 28994, 9935, 138, 108, 818, 2072, 563, 56188, 607, 997, 3900, 32293, 15764, 236764, 997, 150408, 42928, 236764, 997, 4222, 4410, 88634, 236764, 532, 997, 73106, 3535, 78115, 573, 3735, 5577, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43165, 672, 618, 496, 48246, 16553, 8652, 236881, 138, 107, 236778, 236761, 6521, 496, 4155, 236772, 15396, 6651, 236772, 65270, 27868, 8289, 236881, 138, 107, 236800, 236761, 204164, 25501, 6608, 25521, 2721, 580, 1239, 9935, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 496, 2430, 236789, 236751, 15154, 580, 1023, 5058, 531, 6054, 768, 901, 236789, 500, 496, 1535, 11054, 573, 1023, 24488, 19985, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 506, 4889, 529, 2430, 236743, 236832, 236828, 236819, 531, 9128, 910, 2881, 4981, 532, 4588, 4083, 236761, 236743, 236778, 236761, 1637, 910, 2881, 563, 5158, 236764, 12270, 784, 910, 20644, 699, 506, 3068, 236743, 236800, 236771, 2668, 236761, 236743, 236800, 236761, 1701, 1546, 1868, 5853, 528, 1724, 20644, 236764, 33205, 506, 1868, 236789, 236751, 9813, 3004, 532, 28436, 531, 18840, 10562, 36787, 568, 236744, 236761, 236759, 1126, 776, 901, 15474, 607, 13726, 2778, 3004, 69458, 236743, 236812, 236761, 1637, 506, 2430, 18116, 236789, 236745, 25177, 528, 506, 1774, 2297, 236764, 2426, 910, 10744, 4083, 699, 236743, 236825, 236771, 236772, 236800, 236771, 2668, 4578, 532, 8134, 910, 2881, 573, 3540, 236761, 3792, 786, 1281, 506, 12396, 834, 692, 740, 10741, 580, 910, 19985, 2802, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236764, 623, 11622, 236779, 4818, 1083, 623, 5034, 827, 623, 13330, 1083, 3714, 1201, 1083, 623, 85305, 11860, 827, 623, 6774, 1083, 623, 130233, 236761, 236804, 236940, 19645, 236761, 854, 827, 623, 74928, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 188357, 1083, 11058, 199283, 2778, 827, 623, 66518, 4957, 827, 623, 197054, 5405, 152254, 623, 13692, 236779, 18308, 1083, 3714, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236770, 236778, 236787, 236771, 236771, 236953, 827, 623, 43852, 236779, 63263, 1083, 78493, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236825, 236832, 236764, 623, 29449, 1083, 623, 8565, 26600, 18324, 14029, 81909, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236812, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236828, 236770, 236764, 623, 29449, 1083, 623, 75896, 31748, 113537, 143877, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 22487, 236779, 135587, 1083, 236743, 236778, 236832, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236825, 236832, 236764, 623, 3250, 1083, 623, 818, 17143, 529, 100756, 9904, 528, 26762, 53712, 827, 623, 6386, 1083, 623, 10671, 236779, 23325, 236779, 12335, 33345, 827, 623, 3955, 1083, 623, 162117, 14549, 10321, 532, 6573, 12434, 11298, 573, 13726, 9979, 10498, 623, 19112, 1083, 11058, 197054, 2778, 827, 623, 8819, 24488, 827, 623, 66518, 2970, 14255, 623, 55487, 236779, 2861, 1083, 236743, 236800, 236778, 236832, 236764, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 32071, 827, 623, 10618, 1083, 623, 199283, 4181, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236828, 236770, 236764, 623, 3250, 1083, 623, 115489, 742, 9904, 23566, 573, 13806, 46273, 827, 623, 3955, 1083, 623, 236776, 13611, 3671, 529, 10321, 532, 6573, 2778, 12434, 528, 11321, 12308, 236764, 19541, 580, 93711, 532, 5527, 55233, 10498, 623, 6386, 1083, 623, 147716, 91334, 236778, 236771, 236778, 236800, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 19112, 1083, 11058, 236751, 152405, 827, 623, 23325, 827, 623, 8819, 236779, 106809, 14255, 623, 63263, 1083, 3714, 1048, 63263, 1083, 236743, 236770, 236778, 236832, 236812, 236764, 623, 3843, 63263, 1083, 236743, 236828, 236819, 1263, 623, 26329, 1083, 236743, 236770, 236812, 236778, 236764, 623, 4818, 1083, 623, 32071, 25938, 106, 107, 105, 4368, 107, 1018, 70657, 529, 7486, 236743, 236832, 236828, 236819, 568, 85305, 11860, 236768, 573, 72143, 24706, 13863, 1018, 138, 108, 10354, 5213, 236770, 236761, 11358, 18365, 833, 23195, 1018, 138, 107, 236772, 5213, 13169, 18365, 53121, 23531, 113452, 138, 107, 236772, 5213, 9008, 22385, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 568, 43852, 236768, 138, 107, 236772, 5213, 3845, 7573, 53121, 48233, 2778, 236764, 10022, 4957, 236764, 29074, 5405, 178829, 138, 107, 236772, 5213, 47619, 175337, 568, 9008, 236743, 236800, 236771, 27613, 1473, 1018, 138, 107, 138, 236772, 5213, 7118, 236743, 236812, 236810, 236825, 236832, 53121, 623, 818, 17143, 529, 100756, 9904, 528, 26762, 53712, 236775, 568, 236766, 8140, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236812, 236768, 138, 107, 138, 236772, 5213, 7118, 236743, 236812, 236810, 236828, 236770, 53121, 623, 115489, 742, 9904, 23566, 573, 13806, 46273, 236775, 568, 236766, 8140, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 236768, 138, 108, 10354, 5213, 236778, 236761, 81073, 202571, 13768, 1018, 138, 107, 22186, 12714, 8913, 5467, 607, 24488, 22888, 236787, 138, 107, 236772, 5213, 7118, 236743, 236812, 236810, 236825, 236832, 1018, 16616, 236787, 2165, 197054, 2778, 8347, 2165, 8819, 24488, 8347, 2165, 66518, 2970, 236929, 138, 107, 236772, 5213, 7118, 236743, 236812, 236810, 236828, 236770, 1018, 16616, 236787, 2165, 236751, 152405, 8347, 2165, 23325, 8347, 2165, 8819, 236779, 106809, 236929, 138, 107, 236772, 5213, 227187, 116589, 53121, 138, 107, 138, 236772, 6531, 236743, 236812, 236810, 236825, 236832, 236787, 236743, 236800, 236778, 236832, 20644, 568, 11480, 15154, 236768, 138, 107, 138, 236772, 6531, 236743, 236812, 236810, 236828, 236770, 236787, 236743, 236770, 236764, 236778, 236832, 236812, 872, 63263, 568, 22468, 3399, 2142, 236768, 138, 108, 10354, 5213, 236800, 236761, 63916, 1018, 138, 107, 236772, 5213, 174295, 53121, 5213, 75938, 1018, 113452, 138, 107, 138, 236772, 23531, 2881, 607, 4803, 15154, 528, 24488, 236772, 41889, 3004, 236761, 138, 107, 138, 236772, 181071, 2142, 528, 29074, 2778, 532, 10022, 236772, 10619, 14050, 236761, 138, 107, 138, 236772, 782, 8140, 580, 12714, 607, 3629, 3399, 41954, 236761, 138, 108, 1018, 211199, 53121, 20819, 32858, 11860, 2802, 531, 506, 24488, 19985, 236761, 5165, 4588, 532, 10521, 8913, 607, 506, 19985, 236789, 236751, 7675, 236761, 236743, 244906, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 496, 2430, 236789, 236751, 15154, 580, 1023, 5058, 531, 6054, 768, 901, 236789, 500, 496, 1535, 11054, 573, 1023, 24488, 19985, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 506, 4889, 529, 2430, 236743, 236832, 236828, 236819, 531, 9128, 910, 2881, 4981, 532, 4588, 4083, 236761, 236743, 236778, 236761, 1637, 910, 2881, 563, 5158, 236764, 12270, 784, 910, 20644, 699, 506, 3068, 236743, 236800, 236771, 2668, 236761, 236743, 236800, 236761, 1701, 1546, 1868, 5853, 528, 1724, 20644, 236764, 33205, 506, 1868, 236789, 236751, 9813, 3004, 532, 28436, 531, 18840, 10562, 36787, 568, 236744, 236761, 236759, 1126, 776, 901, 15474, 607, 13726, 2778, 3004, 69458, 236743, 236812, 236761, 1637, 506, 2430, 18116, 236789, 236745, 25177, 528, 506, 1774, 2297, 236764, 2426, 910, 10744, 4083, 699, 236743, 236825, 236771, 236772, 236800, 236771, 2668, 4578, 532, 8134, 910, 2881, 573, 3540, 236761, 3792, 786, 1281, 506, 12396, 834, 692, 740, 10741, 580, 910, 19985, 2802, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236764, 623, 11622, 236779, 4818, 1083, 623, 5034, 827, 623, 13330, 1083, 3714, 1201, 1083, 623, 85305, 11860, 827, 623, 6774, 1083, 623, 130233, 236761, 236804, 236940, 19645, 236761, 854, 827, 623, 74928, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 188357, 1083, 11058, 199283, 2778, 827, 623, 66518, 4957, 827, 623, 197054, 5405, 152254, 623, 13692, 236779, 18308, 1083, 3714, 5455, 236779, 8639, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236770, 236778, 236787, 236771, 236771, 236953, 827, 623, 43852, 236779, 63263, 1083, 78493, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236825, 236832, 236764, 623, 29449, 1083, 623, 8565, 26600, 18324, 14029, 81909, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236812, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236828, 236770, 236764, 623, 29449, 1083, 623, 75896, 31748, 113537, 143877, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6725, 236779, 22487, 236779, 135587, 1083, 236743, 236778, 236832, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236825, 236832, 236764, 623, 3250, 1083, 623, 818, 17143, 529, 100756, 9904, 528, 26762, 53712, 827, 623, 6386, 1083, 623, 10671, 236779, 23325, 236779, 12335, 33345, 827, 623, 3955, 1083, 623, 162117, 14549, 10321, 532, 6573, 12434, 11298, 573, 13726, 9979, 10498, 623, 19112, 1083, 11058, 197054, 2778, 827, 623, 8819, 24488, 827, 623, 66518, 2970, 14255, 623, 55487, 236779, 2861, 1083, 236743, 236800, 236778, 236832, 236764, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 32071, 827, 623, 10618, 1083, 623, 199283, 4181, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 236743, 236812, 236810, 236828, 236770, 236764, 623, 3250, 1083, 623, 115489, 742, 9904, 23566, 573, 13806, 46273, 827, 623, 3955, 1083, 623, 236776, 13611, 3671, 529, 10321, 532, 6573, 2778, 12434, 528, 11321, 12308, 236764, 19541, 580, 93711, 532, 5527, 55233, 10498, 623, 6386, 1083, 623, 147716, 91334, 236778, 236771, 236778, 236800, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 19112, 1083, 11058, 236751, 152405, 827, 623, 23325, 827, 623, 8819, 236779, 106809, 14255, 623, 63263, 1083, 3714, 1048, 63263, 1083, 236743, 236770, 236778, 236832, 236812, 236764, 623, 3843, 63263, 1083, 236743, 236828, 236819, 1263, 623, 26329, 1083, 236743, 236770, 236812, 236778, 236764, 623, 4818, 1083, 623, 32071, 25938, 106, 107, 105, 4368, 107, 1018, 70657, 529, 7486, 236743, 236832, 236828, 236819, 568, 85305, 11860, 236768, 573, 72143, 24706, 13863, 1018, 138, 108, 10354, 5213, 236770, 236761, 11358, 18365, 833, 23195, 1018, 138, 107, 236772, 5213, 13169, 18365, 53121, 23531, 113452, 138, 107, 236772, 5213, 9008, 22385, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 568, 43852, 236768, 138, 107, 236772, 5213, 3845, 7573, 53121, 48233, 2778, 236764, 10022, 4957, 236764, 29074, 5405, 178829, 138, 107, 236772, 5213, 47619, 175337, 568, 9008, 236743, 236800, 236771, 27613, 1473, 1018, 138, 107, 138, 236772, 5213, 7118, 236743, 236812, 236810, 236825, 236832, 53121, 623, 818, 17143, 529, 100756, 9904, 528, 26762, 53712, 236775, 568, 236766, 8140, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236812, 236768, 138, 107, 138, 236772, 5213, 7118, 236743, 236812, 236810, 236828, 236770, 53121, 623, 115489, 742, 9904, 23566, 573, 13806, 46273, 236775, 568, 236766, 8140, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 236768, 138, 108, 10354, 5213, 236778, 236761, 81073, 202571, 13768, 1018, 138, 107, 22186, 12714, 8913, 5467, 607, 24488, 22888, 236787, 138, 107, 236772, 5213, 7118, 236743, 236812, 236810, 236825, 236832, 1018, 16616, 236787, 2165, 197054, 2778, 8347, 2165, 8819, 24488, 8347, 2165, 66518, 2970, 236929, 138, 107, 236772, 5213, 7118, 236743, 236812, 236810, 236828, 236770, 1018, 16616, 236787, 2165, 236751, 152405, 8347, 2165, 23325, 8347, 2165, 8819, 236779, 106809, 236929, 138, 107, 236772, 5213, 227187, 116589, 53121, 138, 107, 138, 236772, 6531, 236743, 236812, 236810, 236825, 236832, 236787, 236743, 236800, 236778, 236832, 20644, 568, 11480, 15154, 236768, 138, 107, 138, 236772, 6531, 236743, 236812, 236810, 236828, 236770, 236787, 236743, 236770, 236764, 236778, 236832, 236812, 872, 63263, 568, 22468, 3399, 2142, 236768, 138, 108, 10354, 5213, 236800, 236761, 63916, 1018, 138, 107, 236772, 5213, 174295, 53121, 5213, 75938, 1018, 113452, 138, 107, 138, 236772, 23531, 2881, 607, 4803, 15154, 528, 24488, 236772, 41889, 3004, 236761, 138, 107, 138, 236772, 181071, 2142, 528, 29074, 2778, 532, 10022, 236772, 10619, 14050, 236761, 138, 107, 138, 236772, 782, 8140, 580, 12714, 607, 3629, 3399, 41954, 236761, 138, 108, 1018, 211199, 53121, 20819, 32858, 11860, 2802, 531, 506, 24488, 19985, 236761, 5165, 4588, 532, 10521, 8913, 607, 506, 19985, 236789, 236751, 7675, 236761, 236743, 244906, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 236743, 236800, 236772, 13807, 7606, 14415, 573, 26057, 236764, 27608, 236764, 10916, 573, 7286, 10373, 9630, 4556, 236761, 53765, 532, 564, 659, 6995, 614, 12399, 34374, 236764, 532, 564, 1461, 531, 2426, 768, 993, 236789, 236751, 6927, 653, 13610, 5387, 528, 506, 14415, 531, 6253, 1023, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 3714, 7125, 1083, 623, 7131, 10373, 9630, 4556, 236764, 26057, 236764, 27608, 827, 623, 195282, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236825, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 15879, 236779, 5098, 1083, 623, 1989, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236819, 236764, 623, 15879, 236779, 5098, 1083, 623, 1989, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236828, 236764, 623, 19216, 1083, 623, 196224, 52489, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 5098, 1083, 623, 236788, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236819, 236764, 623, 19216, 1083, 623, 196224, 52489, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236770, 236764, 623, 15879, 236779, 5098, 1083, 623, 236788, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236771, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236764, 623, 15879, 236779, 5098, 1083, 623, 6136, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236800, 236764, 623, 15879, 236779, 5098, 1083, 623, 6136, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236812, 236764, 623, 15879, 236779, 5098, 1083, 623, 6136, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236778, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 236764, 623, 15879, 236779, 5098, 1083, 623, 236797, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236778, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236825, 236764, 623, 15879, 236779, 5098, 1083, 623, 236797, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236778, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236832, 236764, 623, 15879, 236779, 5098, 1083, 623, 236797, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236828, 236764, 623, 15879, 236779, 5098, 1083, 623, 80382, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236819, 236764, 623, 15879, 236779, 5098, 1083, 623, 80382, 25938, 1604, 623, 6011, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2074, 236779, 7617, 1083, 236743, 236819, 236778, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236828, 236825, 236764, 623, 133321, 236779, 19216, 1083, 623, 22631, 827, 623, 44340, 236779, 95852, 1083, 623, 236771, 70887, 623, 15879, 236779, 42821, 1083, 236743, 236770, 236819, 236764, 623, 110444, 1083, 623, 116153, 27893, 3439, 607, 3582, 55748, 532, 951, 31632, 236761, 18324, 23257, 4595, 21037, 5459, 506, 2846, 1781, 19465, 106, 107, 105, 4368, 107, 818, 236743, 236800, 236772, 13807, 7606, 14415, 573, 5213, 7131, 10373, 9630, 4556, 236764, 26057, 236764, 27608, 1018, 3831, 7436, 27893, 3439, 607, 5213, 1904, 6927, 1018, 4275, 236761, 3153, 236764, 11139, 795, 8570, 699, 236743, 236828, 236825, 237366, 236811, 531, 236743, 236819, 236778, 237366, 236811, 568, 236800, 236771, 237366, 236780, 531, 236743, 236800, 236800, 237366, 236780, 779, 145739, 1534, 236743, 236812, 236787, 236771, 236771, 8711, 532, 236743, 236812, 236787, 236800, 236771, 8711, 236761, 142881, 795, 3553, 699, 236743, 236828, 44269, 531, 236743, 236770, 236819, 44269, 236764, 34064, 699, 506, 55591, 531, 54630, 236761, 138, 108, 1018, 201430, 53121, 138, 107, 236772, 42641, 11766, 529, 1813, 531, 4196, 71322, 528, 506, 5387, 236761, 138, 107, 236772, 14066, 6250, 822, 34374, 6517, 568, 15849, 236743, 236800, 236787, 236771, 236771, 8711, 236768, 653, 3209, 568, 9900, 236743, 236810, 236787, 236771, 236771, 8711, 236768, 531, 5571, 506, 7310, 11139, 236761, 138, 107, 236772, 53580, 496, 5423, 236764, 92332, 236764, 532, 78351, 15337, 236761, 138, 107, 236772, 7179, 573, 62913, 22249, 531, 24700, 1982, 3768, 10885, 236761, 138, 108, 42554, 23257, 659, 21037, 236764, 532, 506, 3582, 55748, 2689, 951, 6927, 30583, 236764, 834, 822, 34374, 740, 7162, 618, 13015, 236888, 236743, 244746, 478, 397, 403, 428, 106, 107, 105, 2364, 107, 12879, 573, 506, 7606, 4610, 236888, 53765, 532, 564, 795, 1502, 1023, 34374, 3649, 531, 12222, 506, 5387, 236761, 54591, 529, 837, 236764, 1308, 506, 34374, 236764, 564, 236858, 236757, 6995, 531, 14304, 14016, 657, 2876, 20639, 635, 21451, 236764, 496, 26135, 7075, 3541, 7286, 10373, 9630, 564, 236858, 560, 6827, 1535, 2432, 1003, 236761, 3199, 611, 8091, 4803, 10595, 573, 600, 9180, 531, 2426, 768, 910, 6050, 32123, 3173, 6176, 872, 531, 506, 64377, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 2364, 1083, 623, 120384, 25174, 703, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 818, 6050, 32123, 3173, 1590, 563, 496, 52461, 236888, 7536, 236764, 3996, 16510, 607, 506, 4011, 7002, 529, 14403, 532, 43615, 236761, 35900, 1418, 63404, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 23179, 3714, 2364, 1083, 623, 236814, 985, 114633, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 20418, 229227, 86691, 532, 10841, 2509, 236761, 669, 6050, 691, 7646, 236764, 840, 506, 4491, 990, 573, 1023, 2633, 691, 236743, 236800, 236771, 4310, 9785, 496, 33391, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 23179, 3714, 2364, 1083, 623, 190851, 236774, 111953, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 51632, 525, 26135, 34894, 236888, 5978, 506, 6050, 88541, 506, 1407, 236764, 910, 29503, 160704, 532, 5756, 203890, 659, 15530, 15978, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236810, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236812, 236778, 1807, 106, 107, 105, 4368, 107, 818, 4803, 10595, 573, 5213, 4976, 20639, 635, 21451, 1018, 3541, 7286, 10373, 9630, 659, 95900, 4414, 236764, 4285, 8859, 910, 5213, 36317, 32123, 3173, 1018, 236888, 5715, 236858, 236751, 506, 25890, 236787, 138, 108, 236772, 5213, 35089, 47240, 66515, 136723, 236743, 236812, 236761, 236832, 568, 5140, 580, 236743, 236812, 236778, 10595, 236768, 138, 107, 236772, 5213, 15248, 725, 132928, 66515, 138, 107, 138, 236772, 999, 236829, 818, 6050, 32123, 3173, 1590, 563, 496, 52461, 236888, 7536, 236764, 3996, 16510, 607, 506, 4011, 7002, 529, 14403, 532, 43615, 9603, 236919, 568, 240281, 236810, 236768, 138, 107, 138, 236772, 999, 236829, 51632, 525, 26135, 34894, 236888, 5978, 506, 6050, 88541, 506, 1407, 236764, 910, 29503, 160704, 532, 5756, 203890, 659, 15530, 15978, 9603, 236919, 568, 240281, 236810, 236768, 138, 107, 236772, 5213, 4906, 42388, 7918, 66515, 562, 65991, 6950, 496, 236743, 236800, 236771, 236772, 20353, 4491, 573, 496, 2633, 9785, 496, 33391, 236764, 840, 672, 5072, 531, 577, 614, 10403, 236761, 138, 108, 1018, 203949, 66515, 669, 6050, 32123, 3173, 5213, 102164, 872, 531, 506, 64377, 1018, 236888, 1030, 236858, 236751, 22541, 4970, 618, 8326, 236764, 121714, 236764, 532, 5367, 1418, 28721, 236761, 58108, 625, 607, 910, 29503, 160704, 573, 614, 24636, 2707, 236761, 236743, 250046, 239794, 138, 108, 53132, 822, 1868, 236772, 236754, 985, 14016, 236888, 106, 107, 105, 2364, 107, 12879, 573, 49378, 506, 6050, 32123, 3173, 563, 19390, 236888, 4210, 14016, 236764, 564, 236858, 236757, 6995, 531, 10807, 506, 9180, 236858, 236751, 19396, 573, 1041, 26057, 7363, 2780, 3605, 236761, 3199, 611, 2426, 768, 2876, 20639, 635, 21451, 815, 614, 10365, 2881, 236881, 564, 236858, 236753, 1133, 531, 7853, 1091, 528, 1041, 1868, 236764, 840, 564, 1537, 236858, 236745, 1461, 531, 8844, 910, 6060, 236761, 1637, 901, 776, 236764, 12270, 910, 23073, 1694, 834, 564, 740, 1460, 1217, 5158, 910, 3399, 563, 236761, 106, 107, 105, 4368, 107, 236777, 740, 2426, 2876, 20639, 635, 21451, 236789, 10365, 23073, 1694, 5213, 584, 611, 2847, 910, 4453, 15345, 236786, 12172, 84750, 20044, 236764, 564, 1537, 236789, 236745, 735, 496, 5904, 531, 3927, 573, 10789, 684, 1960, 1463, 1271, 600, 1093, 1660, 12040, 28250, 580, 10365, 653, 496, 4168, 236772, 7362, 12229, 236761, 236743, 108, 2859, 611, 4024, 910, 10365, 6060, 568, 236744, 236761, 236759, 1126, 12948, 535, 236779, 3521, 635, 21451, 3959, 564, 740, 12270, 910, 23073, 1694, 532, 4588, 19455, 1447, 3121, 236888, 236743, 243826, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 506, 236743, 236800, 236772, 13807, 7606, 14415, 573, 26057, 236764, 27608, 236764, 10916, 573, 7286, 10373, 9630, 4556, 236761, 53765, 532, 564, 659, 6995, 614, 12399, 34374, 236764, 532, 564, 1461, 531, 2426, 768, 993, 236789, 236751, 6927, 653, 13610, 5387, 528, 506, 14415, 531, 6253, 1023, 6614, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 3714, 7125, 1083, 623, 7131, 10373, 9630, 4556, 236764, 26057, 236764, 27608, 827, 623, 195282, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236825, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 15879, 236779, 5098, 1083, 623, 1989, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236819, 236764, 623, 15879, 236779, 5098, 1083, 623, 1989, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236828, 236764, 623, 19216, 1083, 623, 196224, 52489, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 5098, 1083, 623, 236788, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236828, 236819, 236764, 623, 19216, 1083, 623, 196224, 52489, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236770, 236764, 623, 15879, 236779, 5098, 1083, 623, 236788, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236771, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 236764, 623, 15879, 236779, 5098, 1083, 623, 6136, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236800, 236764, 623, 15879, 236779, 5098, 1083, 623, 6136, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236812, 236764, 623, 15879, 236779, 5098, 1083, 623, 6136, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236778, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 236764, 623, 15879, 236779, 5098, 1083, 623, 236797, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236778, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236825, 236764, 623, 15879, 236779, 5098, 1083, 623, 236797, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236778, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236832, 236764, 623, 15879, 236779, 5098, 1083, 623, 236797, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236828, 236764, 623, 15879, 236779, 5098, 1083, 623, 80382, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236819, 236770, 236764, 623, 19216, 1083, 623, 22631, 827, 623, 44340, 1083, 236743, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236819, 236764, 623, 15879, 236779, 5098, 1083, 623, 80382, 25938, 1604, 623, 6011, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2074, 236779, 7617, 1083, 236743, 236819, 236778, 236764, 623, 1387, 236779, 7617, 1083, 236743, 236828, 236825, 236764, 623, 133321, 236779, 19216, 1083, 623, 22631, 827, 623, 44340, 236779, 95852, 1083, 623, 236771, 70887, 623, 15879, 236779, 42821, 1083, 236743, 236770, 236819, 236764, 623, 110444, 1083, 623, 116153, 27893, 3439, 607, 3582, 55748, 532, 951, 31632, 236761, 18324, 23257, 4595, 21037, 5459, 506, 2846, 1781, 19465, 106, 107, 105, 4368, 107, 818, 236743, 236800, 236772, 13807, 7606, 14415, 573, 5213, 7131, 10373, 9630, 4556, 236764, 26057, 236764, 27608, 1018, 3831, 7436, 27893, 3439, 607, 5213, 1904, 6927, 1018, 4275, 236761, 3153, 236764, 11139, 795, 8570, 699, 236743, 236828, 236825, 237366, 236811, 531, 236743, 236819, 236778, 237366, 236811, 568, 236800, 236771, 237366, 236780, 531, 236743, 236800, 236800, 237366, 236780, 779, 145739, 1534, 236743, 236812, 236787, 236771, 236771, 8711, 532, 236743, 236812, 236787, 236800, 236771, 8711, 236761, 142881, 795, 3553, 699, 236743, 236828, 44269, 531, 236743, 236770, 236819, 44269, 236764, 34064, 699, 506, 55591, 531, 54630, 236761, 138, 108, 1018, 201430, 53121, 138, 107, 236772, 42641, 11766, 529, 1813, 531, 4196, 71322, 528, 506, 5387, 236761, 138, 107, 236772, 14066, 6250, 822, 34374, 6517, 568, 15849, 236743, 236800, 236787, 236771, 236771, 8711, 236768, 653, 3209, 568, 9900, 236743, 236810, 236787, 236771, 236771, 8711, 236768, 531, 5571, 506, 7310, 11139, 236761, 138, 107, 236772, 53580, 496, 5423, 236764, 92332, 236764, 532, 78351, 15337, 236761, 138, 107, 236772, 7179, 573, 62913, 22249, 531, 24700, 1982, 3768, 10885, 236761, 138, 108, 42554, 23257, 659, 21037, 236764, 532, 506, 3582, 55748, 2689, 951, 6927, 30583, 236764, 834, 822, 34374, 740, 7162, 618, 13015, 236888, 236743, 244746, 478, 397, 403, 428, 106, 107, 105, 2364, 107, 12879, 573, 506, 7606, 4610, 236888, 53765, 532, 564, 795, 1502, 1023, 34374, 3649, 531, 12222, 506, 5387, 236761, 54591, 529, 837, 236764, 1308, 506, 34374, 236764, 564, 236858, 236757, 6995, 531, 14304, 14016, 657, 2876, 20639, 635, 21451, 236764, 496, 26135, 7075, 3541, 7286, 10373, 9630, 564, 236858, 560, 6827, 1535, 2432, 1003, 236761, 3199, 611, 8091, 4803, 10595, 573, 600, 9180, 531, 2426, 768, 910, 6050, 32123, 3173, 6176, 872, 531, 506, 64377, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 2364, 1083, 623, 120384, 25174, 703, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 818, 6050, 32123, 3173, 1590, 563, 496, 52461, 236888, 7536, 236764, 3996, 16510, 607, 506, 4011, 7002, 529, 14403, 532, 43615, 236761, 35900, 1418, 63404, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 23179, 3714, 2364, 1083, 623, 236814, 985, 114633, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 20418, 229227, 86691, 532, 10841, 2509, 236761, 669, 6050, 691, 7646, 236764, 840, 506, 4491, 990, 573, 1023, 2633, 691, 236743, 236800, 236771, 4310, 9785, 496, 33391, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 23179, 3714, 2364, 1083, 623, 190851, 236774, 111953, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 51632, 525, 26135, 34894, 236888, 5978, 506, 6050, 88541, 506, 1407, 236764, 910, 29503, 160704, 532, 5756, 203890, 659, 15530, 15978, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236810, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236812, 236778, 1807, 106, 107, 105, 4368, 107, 818, 4803, 10595, 573, 5213, 4976, 20639, 635, 21451, 1018, 3541, 7286, 10373, 9630, 659, 95900, 4414, 236764, 4285, 8859, 910, 5213, 36317, 32123, 3173, 1018, 236888, 5715, 236858, 236751, 506, 25890, 236787, 138, 108, 236772, 5213, 35089, 47240, 66515, 136723, 236743, 236812, 236761, 236832, 568, 5140, 580, 236743, 236812, 236778, 10595, 236768, 138, 107, 236772, 5213, 15248, 725, 132928, 66515, 138, 107, 138, 236772, 999, 236829, 818, 6050, 32123, 3173, 1590, 563, 496, 52461, 236888, 7536, 236764, 3996, 16510, 607, 506, 4011, 7002, 529, 14403, 532, 43615, 9603, 236919, 568, 240281, 236810, 236768, 138, 107, 138, 236772, 999, 236829, 51632, 525, 26135, 34894, 236888, 5978, 506, 6050, 88541, 506, 1407, 236764, 910, 29503, 160704, 532, 5756, 203890, 659, 15530, 15978, 9603, 236919, 568, 240281, 236810, 236768, 138, 107, 236772, 5213, 4906, 42388, 7918, 66515, 562, 65991, 6950, 496, 236743, 236800, 236771, 236772, 20353, 4491, 573, 496, 2633, 9785, 496, 33391, 236764, 840, 672, 5072, 531, 577, 614, 10403, 236761, 138, 108, 1018, 203949, 66515, 669, 6050, 32123, 3173, 5213, 102164, 872, 531, 506, 64377, 1018, 236888, 1030, 236858, 236751, 22541, 4970, 618, 8326, 236764, 121714, 236764, 532, 5367, 1418, 28721, 236761, 58108, 625, 607, 910, 29503, 160704, 573, 614, 24636, 2707, 236761, 236743, 250046, 239794, 138, 108, 53132, 822, 1868, 236772, 236754, 985, 14016, 236888, 106, 107, 105, 2364, 107, 12879, 573, 49378, 506, 6050, 32123, 3173, 563, 19390, 236888, 4210, 14016, 236764, 564, 236858, 236757, 6995, 531, 10807, 506, 9180, 236858, 236751, 19396, 573, 1041, 26057, 7363, 2780, 3605, 236761, 3199, 611, 2426, 768, 2876, 20639, 635, 21451, 815, 614, 10365, 2881, 236881, 564, 236858, 236753, 1133, 531, 7853, 1091, 528, 1041, 1868, 236764, 840, 564, 1537, 236858, 236745, 1461, 531, 8844, 910, 6060, 236761, 1637, 901, 776, 236764, 12270, 910, 23073, 1694, 834, 564, 740, 1460, 1217, 5158, 910, 3399, 563, 236761, 106, 107, 105, 4368, 107, 236777, 740, 2426, 2876, 20639, 635, 21451, 236789, 10365, 23073, 1694, 5213, 584, 611, 2847, 910, 4453, 15345, 236786, 12172, 84750, 20044, 236764, 564, 1537, 236789, 236745, 735, 496, 5904, 531, 3927, 573, 10789, 684, 1960, 1463, 1271, 600, 1093, 1660, 12040, 28250, 580, 10365, 653, 496, 4168, 236772, 7362, 12229, 236761, 236743, 108, 2859, 611, 4024, 910, 10365, 6060, 568, 236744, 236761, 236759, 1126, 12948, 535, 236779, 3521, 635, 21451, 3959, 564, 740, 12270, 910, 23073, 1694, 532, 4588, 19455, 1447, 3121, 236888, 236743, 243826, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4351, 496, 6387, 573, 1041, 12441, 4598, 2148, 7672, 600, 236789, 236751, 2506, 496, 5139, 14470, 237028, 46779, 236743, 236828, 236761, 236771, 580, 119936, 95463, 236761, 5315, 236764, 2426, 506, 14470, 573, 808, 818, 7086, 48255, 236829, 1699, 506, 1586, 236779, 21000, 236779, 13126, 5904, 236761, 1637, 625, 236789, 236751, 3426, 236743, 236828, 236761, 236771, 236764, 1299, 6842, 2426, 808, 7762, 980, 236829, 607, 506, 1638, 5904, 236761, 1637, 808, 7762, 980, 236829, 102082, 600, 3029, 236764, 692, 236789, 859, 817, 607, 625, 236761, 1637, 711, 236764, 564, 236789, 859, 735, 531, 3137, 19276, 236764, 840, 1531, 236789, 236751, 1502, 3606, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 7086, 48255, 827, 623, 13126, 1083, 236743, 236819, 236761, 236770, 236783, 106, 107, 105, 4368, 107, 818, 7086, 48255, 815, 496, 14470, 529, 236743, 236819, 236761, 236770, 580, 119936, 95463, 236764, 837, 563, 1388, 2787, 822, 236743, 236828, 236761, 236771, 14272, 236761, 1174, 563, 614, 7516, 5313, 573, 822, 12441, 4598, 236888, 236743, 245357, 250118, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4351, 496, 6387, 573, 1041, 12441, 4598, 2148, 7672, 600, 236789, 236751, 2506, 496, 5139, 14470, 237028, 46779, 236743, 236828, 236761, 236771, 580, 119936, 95463, 236761, 5315, 236764, 2426, 506, 14470, 573, 808, 818, 7086, 48255, 236829, 1699, 506, 1586, 236779, 21000, 236779, 13126, 5904, 236761, 1637, 625, 236789, 236751, 3426, 236743, 236828, 236761, 236771, 236764, 1299, 6842, 2426, 808, 7762, 980, 236829, 607, 506, 1638, 5904, 236761, 1637, 808, 7762, 980, 236829, 102082, 600, 3029, 236764, 692, 236789, 859, 817, 607, 625, 236761, 1637, 711, 236764, 564, 236789, 859, 735, 531, 3137, 19276, 236764, 840, 1531, 236789, 236751, 1502, 3606, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 7086, 48255, 827, 623, 13126, 1083, 236743, 236819, 236761, 236770, 236783, 106, 107, 105, 4368, 107, 818, 7086, 48255, 815, 496, 14470, 529, 236743, 236819, 236761, 236770, 580, 119936, 95463, 236764, 837, 563, 1388, 2787, 822, 236743, 236828, 236761, 236771, 14272, 236761, 1174, 563, 614, 7516, 5313, 573, 822, 12441, 4598, 236888, 236743, 245357, 250118, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 238631, 43320, 236764, 114303, 236888, 564, 236789, 236757, 3331, 49447, 236764, 532, 564, 1202, 822, 1601, 35447, 2613, 2132, 236761, 1599, 1460, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 9079, 2148, 6247, 531, 3517, 506, 1610, 54828, 236764, 532, 564, 1461, 531, 3662, 506, 110378, 513, 236789, 3524, 30468, 7531, 529, 990, 236761, 2024, 564, 1537, 236789, 236745, 735, 6533, 236789, 236751, 4553, 3421, 993, 236888, 669, 14871, 236789, 236751, 4456, 563, 53701, 236744, 236772, 913, 571, 236761, 1145, 236764, 532, 564, 1765, 496, 1463, 3489, 237028, 144709, 11393, 237028, 14625, 4146, 528, 910, 32801, 3019, 7920, 236761, 28344, 611, 1161, 600, 4553, 44677, 5904, 531, 4087, 1679, 1116, 3662, 8283, 236881, 5393, 528, 1624, 236764, 7463, 2056, 623, 144709, 236775, 532, 623, 44691, 236775, 618, 506, 1171, 532, 1774, 1463, 236881, 564, 236858, 236753, 17554, 531, 1407, 872, 723, 153481, 1133, 496, 22436, 607, 951, 2731, 236888, 7062, 236764, 532, 1651, 611, 236858, 500, 657, 625, 236764, 1451, 611, 2426, 768, 993, 236858, 236751, 496, 2436, 236779, 828, 236779, 20297, 5904, 531, 1407, 9079, 7606, 15067, 573, 5365, 236881, 564, 1202, 531, 3294, 506, 1447, 11795, 573, 784, 600, 9378, 9332, 46260, 2094, 2864, 7713, 3149, 6137, 573, 4553, 44677, 870, 19645, 236764, 1171, 236779, 1201, 236764, 1774, 236779, 1201, 236842, 1651, 8009, 496, 10929, 7609, 1003, 7606, 15067, 236764, 837, 506, 12498, 1921, 6060, 607, 2487, 6436, 236761, 669, 2430, 4728, 784, 4127, 8283, 840, 12627, 16783, 607, 9226, 4403, 532, 5074, 236772, 8071, 522, 2907, 236829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 236779, 20001, 1083, 623, 232629, 703, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 19645, 236779, 87622, 1083, 1847, 236764, 623, 10082, 236779, 105621, 1083, 11058, 236751, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 827, 623, 232629, 703, 236761, 236757, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 20297, 236779, 1516, 1083, 3714, 32248, 1083, 623, 236762, 236770, 827, 623, 511, 236779, 547, 1083, 623, 19323, 236787, 158659, 827, 623, 1516, 236779, 11116, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 44340, 1083, 236743, 236800, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236812, 236761, 236770, 236764, 623, 44340, 1083, 236743, 236770, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236810, 236761, 236825, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236778, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236800, 236761, 236819, 236764, 623, 44340, 1083, 236743, 236812, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236819, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236825, 236761, 236800, 236764, 623, 44340, 1083, 236743, 236778, 236761, 236770, 104960, 623, 25441, 1083, 3714, 27495, 1083, 6443, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 44340, 1083, 623, 3951, 236786, 1496, 236775, 19465, 106, 107, 105, 4368, 107, 236820, 9767, 49447, 236789, 236751, 236772, 11919, 236772, 3932, 236813, 107, 236777, 1765, 55676, 11393, 236789, 236751, 4547, 4553, 3421, 657, 110378, 513, 236789, 3524, 30468, 236787, 5213, 232629, 703, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 1018, 138, 107, 229806, 6317, 236787, 236743, 236819, 236778, 236908, 138, 107, 13517, 2653, 15936, 236787, 138, 107, 236772, 503, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 138, 107, 236772, 17736, 703, 236761, 236757, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 138, 108, 3048, 740, 3662, 1116, 5467, 657, 600, 3421, 531, 16422, 822, 3517, 236888, 107, 954, 9767, 49447, 236789, 236751, 236772, 11919, 236772, 3932, 236813, 108, 236820, 50429, 236772, 26588, 236772, 185069, 236813, 107, 8291, 236789, 236751, 506, 7606, 7003, 1262, 573, 9079, 568, 30651, 52916, 699, 40731, 3759, 1473, 108, 1018, 30651, 236743, 236778, 236771, 236778, 236812, 74544, 1018, 138, 107, 249439, 13444, 236743, 236770, 236787, 236743, 236770, 236778, 236761, 236810, 237366, 236780, 1109, 236743, 236800, 236761, 236778, 3951, 6927, 236786, 1496, 138, 107, 245838, 13444, 236743, 236778, 236787, 236743, 236770, 236812, 236761, 236770, 237366, 236780, 1109, 236743, 236770, 236761, 236828, 3951, 6927, 236786, 1496, 138, 107, 249560, 238178, 13444, 236743, 236800, 236787, 236743, 236770, 236810, 236761, 236825, 237366, 236780, 1109, 236743, 236771, 236761, 236810, 3951, 6927, 236786, 1496, 138, 107, 247898, 238178, 13444, 236743, 236812, 236787, 236743, 236770, 236800, 236761, 236819, 237366, 236780, 1109, 236743, 236812, 236761, 236832, 3951, 6927, 236786, 1496, 138, 107, 243944, 13444, 236743, 236810, 236787, 236743, 236770, 236825, 236761, 236800, 237366, 236780, 1109, 236743, 236778, 236761, 236770, 3951, 6927, 236786, 1496, 138, 108, 12415, 12627, 532, 35918, 11795, 236888, 669, 236743, 236770, 236778, 236772, 236770, 236825, 237366, 236780, 2644, 2820, 6247, 50328, 900, 135666, 10325, 236761, 107, 954, 50429, 236772, 26588, 236772, 185069, 236813, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 238631, 43320, 236764, 114303, 236888, 564, 236789, 236757, 3331, 49447, 236764, 532, 564, 1202, 822, 1601, 35447, 2613, 2132, 236761, 1599, 1460, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 9079, 2148, 6247, 531, 3517, 506, 1610, 54828, 236764, 532, 564, 1461, 531, 3662, 506, 110378, 513, 236789, 3524, 30468, 7531, 529, 990, 236761, 2024, 564, 1537, 236789, 236745, 735, 6533, 236789, 236751, 4553, 3421, 993, 236888, 669, 14871, 236789, 236751, 4456, 563, 53701, 236744, 236772, 913, 571, 236761, 1145, 236764, 532, 564, 1765, 496, 1463, 3489, 237028, 144709, 11393, 237028, 14625, 4146, 528, 910, 32801, 3019, 7920, 236761, 28344, 611, 1161, 600, 4553, 44677, 5904, 531, 4087, 1679, 1116, 3662, 8283, 236881, 5393, 528, 1624, 236764, 7463, 2056, 623, 144709, 236775, 532, 623, 44691, 236775, 618, 506, 1171, 532, 1774, 1463, 236881, 564, 236858, 236753, 17554, 531, 1407, 872, 723, 153481, 1133, 496, 22436, 607, 951, 2731, 236888, 7062, 236764, 532, 1651, 611, 236858, 500, 657, 625, 236764, 1451, 611, 2426, 768, 993, 236858, 236751, 496, 2436, 236779, 828, 236779, 20297, 5904, 531, 1407, 9079, 7606, 15067, 573, 5365, 236881, 564, 1202, 531, 3294, 506, 1447, 11795, 573, 784, 600, 9378, 9332, 46260, 2094, 2864, 7713, 3149, 6137, 573, 4553, 44677, 870, 19645, 236764, 1171, 236779, 1201, 236764, 1774, 236779, 1201, 236842, 1651, 8009, 496, 10929, 7609, 1003, 7606, 15067, 236764, 837, 506, 12498, 1921, 6060, 607, 2487, 6436, 236761, 669, 2430, 4728, 784, 4127, 8283, 840, 12627, 16783, 607, 9226, 4403, 532, 5074, 236772, 8071, 522, 2907, 236829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 236779, 20001, 1083, 623, 232629, 703, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 19645, 236779, 87622, 1083, 1847, 236764, 623, 10082, 236779, 105621, 1083, 11058, 236751, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 827, 623, 232629, 703, 236761, 236757, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 20297, 236779, 1516, 1083, 3714, 32248, 1083, 623, 236762, 236770, 827, 623, 511, 236779, 547, 1083, 623, 19323, 236787, 158659, 827, 623, 1516, 236779, 11116, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 44340, 1083, 236743, 236800, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236828, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236812, 236761, 236770, 236764, 623, 44340, 1083, 236743, 236770, 236761, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236810, 236761, 236825, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236778, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236800, 236761, 236819, 236764, 623, 44340, 1083, 236743, 236812, 236761, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236778, 236819, 827, 623, 27495, 236779, 18553, 1083, 236743, 236770, 236825, 236761, 236800, 236764, 623, 44340, 1083, 236743, 236778, 236761, 236770, 104960, 623, 25441, 1083, 3714, 27495, 1083, 6443, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 44340, 1083, 623, 3951, 236786, 1496, 236775, 19465, 106, 107, 105, 4368, 107, 236820, 9767, 49447, 236789, 236751, 236772, 11919, 236772, 3932, 236813, 107, 236777, 1765, 55676, 11393, 236789, 236751, 4547, 4553, 3421, 657, 110378, 513, 236789, 3524, 30468, 236787, 5213, 232629, 703, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 1018, 138, 107, 229806, 6317, 236787, 236743, 236819, 236778, 236908, 138, 107, 13517, 2653, 15936, 236787, 138, 107, 236772, 503, 236761, 203389, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 138, 107, 236772, 17736, 703, 236761, 236757, 236940, 180566, 236744, 236772, 913, 571, 236761, 1145, 138, 108, 3048, 740, 3662, 1116, 5467, 657, 600, 3421, 531, 16422, 822, 3517, 236888, 107, 954, 9767, 49447, 236789, 236751, 236772, 11919, 236772, 3932, 236813, 108, 236820, 50429, 236772, 26588, 236772, 185069, 236813, 107, 8291, 236789, 236751, 506, 7606, 7003, 1262, 573, 9079, 568, 30651, 52916, 699, 40731, 3759, 1473, 108, 1018, 30651, 236743, 236778, 236771, 236778, 236812, 74544, 1018, 138, 107, 249439, 13444, 236743, 236770, 236787, 236743, 236770, 236778, 236761, 236810, 237366, 236780, 1109, 236743, 236800, 236761, 236778, 3951, 6927, 236786, 1496, 138, 107, 245838, 13444, 236743, 236778, 236787, 236743, 236770, 236812, 236761, 236770, 237366, 236780, 1109, 236743, 236770, 236761, 236828, 3951, 6927, 236786, 1496, 138, 107, 249560, 238178, 13444, 236743, 236800, 236787, 236743, 236770, 236810, 236761, 236825, 237366, 236780, 1109, 236743, 236771, 236761, 236810, 3951, 6927, 236786, 1496, 138, 107, 247898, 238178, 13444, 236743, 236812, 236787, 236743, 236770, 236800, 236761, 236819, 237366, 236780, 1109, 236743, 236812, 236761, 236832, 3951, 6927, 236786, 1496, 138, 107, 243944, 13444, 236743, 236810, 236787, 236743, 236770, 236825, 236761, 236800, 237366, 236780, 1109, 236743, 236778, 236761, 236770, 3951, 6927, 236786, 1496, 138, 108, 12415, 12627, 532, 35918, 11795, 236888, 669, 236743, 236770, 236778, 236772, 236770, 236825, 237366, 236780, 2644, 2820, 6247, 50328, 900, 135666, 10325, 236761, 107, 954, 50429, 236772, 26588, 236772, 185069, 236813, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 564, 236789, 236757, 14892, 699, 226589, 236761, 26660, 496, 3103, 529, 496, 2203, 573, 611, 236761, 564, 236789, 236757, 1385, 495, 236789, 531, 1900, 496, 861, 58840, 5464, 573, 1041, 6211, 7805, 237028, 977, 1107, 236751, 236743, 236770, 236771, 236771, 15176, 236764, 12631, 699, 10561, 531, 226589, 236761, 5315, 236764, 564, 1202, 531, 1281, 1217, 1440, 600, 236789, 859, 1769, 531, 974, 1590, 236761, 4298, 236764, 564, 1461, 531, 5811, 855, 506, 13822, 13192, 573, 614, 609, 236828, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236812, 236761, 236810, 236908, 2142, 1024, 1806, 1518, 236761, 3199, 611, 6060, 1800, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 51183, 236779, 14356, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14265, 1083, 236743, 236778, 236800, 236825, 236761, 236825, 236800, 236764, 623, 6725, 236779, 21878, 1083, 236743, 236810, 236770, 236828, 236761, 236825, 236828, 236764, 623, 6725, 236779, 500, 24471, 1083, 236743, 236828, 236810, 236770, 236828, 236761, 236825, 236828, 236783, 106, 107, 105, 4368, 107, 11069, 58840, 5464, 12631, 699, 10561, 531, 226589, 568, 236770, 236771, 236771, 16931, 236768, 795, 1769, 5213, 236800, 2668, 1018, 531, 15074, 236761, 108, 2542, 506, 609, 236828, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236812, 236761, 236810, 236908, 7384, 2142, 1024, 236743, 236800, 1518, 568, 236800, 236825, 3794, 1473, 107, 236772, 5213, 96579, 7548, 66515, 609, 236778, 236800, 236825, 236761, 236825, 236800, 138, 107, 236772, 5213, 9640, 2142, 6382, 66515, 609, 236810, 236770, 236828, 236761, 236825, 236828, 138, 107, 236772, 5213, 9640, 69139, 66515, 609, 236828, 236764, 236810, 236770, 236828, 236761, 236825, 236828, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 564, 236789, 236757, 14892, 699, 226589, 236761, 26660, 496, 3103, 529, 496, 2203, 573, 611, 236761, 564, 236789, 236757, 1385, 495, 236789, 531, 1900, 496, 861, 58840, 5464, 573, 1041, 6211, 7805, 237028, 977, 1107, 236751, 236743, 236770, 236771, 236771, 15176, 236764, 12631, 699, 10561, 531, 226589, 236761, 5315, 236764, 564, 1202, 531, 1281, 1217, 1440, 600, 236789, 859, 1769, 531, 974, 1590, 236761, 4298, 236764, 564, 1461, 531, 5811, 855, 506, 13822, 13192, 573, 614, 609, 236828, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236812, 236761, 236810, 236908, 2142, 1024, 1806, 1518, 236761, 3199, 611, 6060, 1800, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 51183, 236779, 14356, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14265, 1083, 236743, 236778, 236800, 236825, 236761, 236825, 236800, 236764, 623, 6725, 236779, 21878, 1083, 236743, 236810, 236770, 236828, 236761, 236825, 236828, 236764, 623, 6725, 236779, 500, 24471, 1083, 236743, 236828, 236810, 236770, 236828, 236761, 236825, 236828, 236783, 106, 107, 105, 4368, 107, 11069, 58840, 5464, 12631, 699, 10561, 531, 226589, 568, 236770, 236771, 236771, 16931, 236768, 795, 1769, 5213, 236800, 2668, 1018, 531, 15074, 236761, 108, 2542, 506, 609, 236828, 236764, 236771, 236771, 236771, 10670, 657, 236743, 236812, 236761, 236810, 236908, 7384, 2142, 1024, 236743, 236800, 1518, 568, 236800, 236825, 3794, 1473, 107, 236772, 5213, 96579, 7548, 66515, 609, 236778, 236800, 236825, 236761, 236825, 236800, 138, 107, 236772, 5213, 9640, 2142, 6382, 66515, 609, 236810, 236770, 236828, 236761, 236825, 236828, 138, 107, 236772, 5213, 9640, 69139, 66515, 609, 236828, 236764, 236810, 236770, 236828, 236761, 236825, 236828, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 30598, 236764, 532, 564, 236789, 236757, 6995, 614, 1610, 236772, 68122, 3399, 2460, 573, 1023, 2263, 15707, 8115, 2148, 2297, 236761, 564, 1202, 1601, 8159, 4803, 4668, 10308, 1003, 6595, 1610, 4749, 528, 8099, 18280, 531, 974, 18014, 573, 4709, 5085, 532, 28316, 67529, 236761, 28344, 611, 3927, 573, 506, 1346, 14549, 1610, 2460, 6549, 600, 735, 8432, 1590, 528, 506, 3068, 1051, 236881, 564, 236789, 236757, 6412, 7467, 528, 21931, 35490, 653, 11690, 6237, 600, 1451, 15474, 1800, 30992, 532, 26342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 12059, 18280, 236789, 236751, 4585, 528, 506, 4556, 15467, 199377, 129342, 22204, 607, 59494, 165973, 1264, 827, 623, 6265, 1083, 623, 12059, 18280, 18245, 11922, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 818, 236743, 236778, 236771, 236778, 236812, 4585, 528, 506, 4556, 14680, 16939, 236743, 236770, 236810, 2455, 236772, 7669, 21931, 35490, 236764, 2440, 496, 10321, 236772, 36359, 2214, 59600, 532, 3399, 30918, 2203, 236764, 10314, 1024, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 13131, 221476, 3714, 3250, 1083, 623, 29235, 137276, 4585, 236787, 8099, 18280, 236789, 236751, 46586, 8886, 40383, 23855, 190304, 48630, 827, 623, 6265, 1083, 623, 193228, 40502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 6011, 1083, 623, 4199, 51229, 9496, 1610, 13234, 5862, 13131, 531, 2707, 5177, 144668, 580, 17110, 10692, 236764, 607, 33000, 699, 2263, 14896, 48951, 532, 7363, 2780, 29049, 221476, 3714, 3250, 1083, 623, 46640, 112200, 236787, 7940, 7171, 4585, 7879, 21807, 1472, 121558, 532, 18592, 71762, 1929, 827, 623, 6265, 1083, 623, 12059, 18280, 80501, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 13149, 11421, 532, 8646, 4402, 2619, 18224, 1610, 35490, 580, 842, 236761, 782, 1256, 19212, 236764, 18482, 40399, 5417, 532, 21931, 1813, 21615, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 659, 4803, 14549, 1610, 4749, 528, 8099, 18280, 600, 1451, 30463, 822, 15707, 8115, 5085, 236787, 108, 236770, 236761, 5213, 9175, 528, 506, 4556, 15467, 568, 12055, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 108632, 5213, 78360, 58435, 1018, 1133, 496, 10321, 236772, 36359, 2214, 59600, 532, 496, 3399, 30918, 2203, 236761, 138, 107, 139, 236772, 58138, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 236862, 13131, 236764, 6807, 3188, 3399, 15154, 236761, 138, 108, 236778, 236761, 5213, 112543, 8886, 4585, 23855, 568, 30902, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 32300, 524, 607, 14896, 48951, 531, 2619, 614, 5213, 202942, 9496, 13234, 1018, 22964, 236764, 66051, 5177, 1610, 607, 17110, 10692, 236761, 138, 107, 139, 236772, 63368, 67529, 607, 7363, 2780, 29049, 236764, 36674, 32801, 2707, 236761, 138, 108, 236800, 236761, 5213, 50613, 7171, 4585, 7879, 568, 36956, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 62718, 5213, 125595, 82730, 1018, 607, 1610, 4323, 18224, 58435, 1603, 699, 40399, 5417, 532, 21931, 1813, 21615, 580, 842, 236761, 782, 1256, 19212, 236761, 138, 108, 9208, 8698, 8357, 7760, 573, 5213, 17470, 67529, 125546, 5213, 41255, 236772, 18865, 35490, 125546, 532, 5213, 37939, 236772, 27612, 5699, 84750, 21284, 611, 1133, 1601, 68657, 3530, 6549, 653, 28316, 33000, 573, 822, 2460, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 18014, 236888, 669, 8886, 13234, 532, 40399, 58435, 5057, 4011, 573, 1023, 3399, 44249, 236761, 28344, 611, 3927, 573, 2263, 8099, 18280, 29049, 653, 90760, 1015, 65607, 528, 28597, 236772, 18865, 5417, 653, 14896, 236772, 5140, 1610, 35490, 236881, 564, 236858, 236753, 2765, 531, 5370, 855, 531, 3435, 85505, 573, 21931, 93951, 653, 28023, 236761, 15704, 1161, 30154, 1133, 756, 12059, 18280, 13726, 1610, 14767, 236789, 653, 756, 12059, 18280, 14896, 236772, 661, 33000, 236789, 528, 822, 3927, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 12059, 18280, 33474, 2639, 236787, 43804, 236772, 83899, 4585, 77245, 573, 12263, 235606, 827, 623, 6386, 1083, 623, 65897, 98881, 827, 623, 6011, 1083, 623, 17224, 9175, 30510, 2372, 236761, 5469, 496, 2644, 529, 106326, 42145, 532, 40399, 12002, 5417, 573, 8099, 18280, 11421, 10498, 623, 2451, 1083, 623, 2574, 1411, 5843, 18280, 10671, 661, 12079, 236761, 854, 236786, 199283, 236772, 22102, 8135, 23179, 3714, 3250, 1083, 623, 29235, 236772, 9175, 40073, 847, 2261, 14152, 8099, 18280, 236789, 236751, 23727, 50647, 827, 623, 6386, 1083, 623, 12720, 8943, 827, 623, 6011, 1083, 623, 13149, 26847, 55835, 157663, 6627, 607, 1237, 11421, 531, 2619, 21931, 35490, 1699, 10321, 236772, 36359, 8886, 14896, 10498, 623, 2451, 1083, 623, 2574, 1411, 17470, 661, 5843, 18280, 236761, 12959, 236786, 236778, 236771, 236778, 236810, 236786, 1475, 8561, 236772, 16518, 23179, 3714, 3250, 1083, 623, 17120, 236787, 43804, 236772, 1505, 1166, 1434, 168889, 743, 117724, 8099, 18280, 827, 623, 6386, 1083, 623, 17224, 21887, 26194, 827, 623, 6011, 1083, 623, 166695, 529, 236743, 236770, 236778, 2263, 29049, 2440, 1276, 22004, 33511, 18605, 532, 29277, 10343, 236743, 236800, 236796, 4585, 10201, 10498, 623, 2451, 1083, 623, 2574, 1411, 10671, 54301, 1364, 236761, 854, 236786, 6047, 236772, 144749, 743, 23179, 3714, 3250, 1083, 623, 102711, 4585, 196725, 42641, 32237, 531, 8099, 18280, 151945, 827, 623, 6386, 1083, 623, 65944, 11860, 827, 623, 6011, 1083, 623, 9818, 2748, 580, 43804, 236823, 976, 35408, 236789, 26070, 58435, 26613, 684, 26070, 2778, 699, 14680, 40303, 10498, 623, 2451, 1083, 623, 2574, 1411, 50694, 3001, 1438, 236761, 2108, 236786, 78360, 236772, 661, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 2263, 8099, 18280, 29049, 532, 90760, 600, 8913, 607, 822, 28597, 236772, 18865, 532, 14896, 236772, 661, 22888, 236787, 108, 236770, 236761, 5213, 17224, 9175, 30510, 2372, 99382, 138, 107, 139, 236772, 808, 147716, 236772, 83899, 77245, 63508, 73068, 55600, 742, 42145, 236764, 40399, 12002, 5417, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 17224, 9175, 30510, 2372, 236761, 5457, 2574, 1411, 5843, 18280, 10671, 661, 12079, 236761, 854, 236786, 199283, 236772, 22102, 8135, 236768, 138, 108, 236778, 236761, 5213, 38096, 157663, 1018, 138, 107, 139, 236772, 808, 29235, 236772, 9175, 40073, 847, 63508, 29277, 236772, 36359, 8886, 35490, 236764, 21931, 14896, 236772, 661, 5699, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 38096, 157663, 40073, 847, 5457, 2574, 1411, 17470, 661, 5843, 18280, 236761, 12959, 236786, 236778, 236771, 236778, 236810, 236786, 1475, 8561, 236772, 16518, 236768, 138, 108, 236800, 236761, 5213, 1479, 22004, 33511, 18605, 833, 29277, 10343, 236743, 236800, 236796, 4585, 10201, 1018, 138, 107, 139, 236772, 808, 147716, 236772, 1505, 1166, 1434, 168889, 743, 63508, 6501, 10580, 528, 101922, 5417, 532, 10321, 236772, 36359, 236743, 236800, 236796, 16386, 236761, 138, 107, 139, 236772, 41000, 236787, 870, 17224, 21887, 26194, 5457, 2574, 1411, 10671, 54301, 1364, 236761, 854, 236786, 6047, 236772, 144749, 743, 236768, 138, 108, 236812, 236761, 5213, 147716, 236823, 976, 35408, 1018, 138, 107, 139, 236772, 808, 102711, 173083, 63508, 152089, 58435, 26613, 684, 167845, 7296, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 147716, 236823, 976, 35408, 5457, 2574, 1411, 50694, 3001, 1438, 236761, 2108, 236786, 78360, 236772, 661, 236768, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 21284, 611, 1133, 1601, 66582, 43285, 10396, 531, 1239, 29049, 236881, 138, 107, 236772, 2408, 1374, 564, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3530, 18669, 6549, 236764, 11690, 35490, 20625, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 4668, 236779, 2305, 5904, 531, 1586, 8698, 529, 6595, 43285, 10396, 653, 13859, 25398, 600, 1032, 1610, 4749, 528, 8099, 18280, 735, 1456, 236881, 564, 236858, 236753, 1133, 531, 1460, 23693, 653, 5192, 600, 37837, 28597, 236772, 18865, 22888, 532, 21931, 14896, 4820, 531, 96453, 1041, 43285, 531, 1239, 29049, 236761, 3792, 236858, 236751, 1161, 30154, 1133, 756, 661, 2460, 28316, 13859, 23693, 8099, 18280, 236789, 653, 756, 41255, 236772, 17470, 43285, 3618, 8698, 236789, 531, 59638, 506, 3927, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 12059, 18280, 4585, 79535, 190304, 43804, 236772, 29235, 111492, 67653, 33404, 827, 623, 6011, 1083, 623, 818, 8099, 18280, 7086, 29235, 4585, 79535, 815, 6469, 496, 28316, 13859, 10318, 79720, 13726, 10154, 532, 21931, 14896, 93877, 236761, 669, 7930, 5132, 43285, 5192, 573, 41775, 28597, 236772, 29852, 29049, 1699, 8886, 236786, 25291, 92815, 532, 6800, 236772, 45258, 33972, 6614, 10498, 623, 2451, 1083, 623, 2574, 1411, 5843, 18280, 661, 12959, 236761, 2187, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236825, 236786, 41255, 236772, 17470, 236772, 12886, 99791, 236772, 9944, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 9818, 16785, 236787, 59494, 98916, 62382, 573, 43804, 236772, 83899, 4585, 31698, 827, 623, 6011, 1083, 623, 236776, 236743, 236778, 236771, 236778, 236800, 8099, 18280, 43804, 109278, 15467, 1624, 2748, 21577, 6595, 43285, 3618, 9108, 26614, 8646, 4100, 19455, 607, 28233, 14896, 25398, 236761, 31278, 5192, 5132, 756, 7711, 10321, 236772, 36359, 21931, 35490, 7005, 2460, 6800, 38649, 684, 236743, 236812, 236771, 236908, 1651, 5683, 28316, 15154, 1343, 1759, 236772, 2289, 9998, 26545, 7085, 827, 623, 2451, 1083, 623, 2574, 1411, 3001, 1438, 661, 25612, 236761, 854, 236786, 4925, 236772, 147889, 236786, 41255, 236772, 725, 26358, 236772, 224845, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236778, 23179, 3714, 3250, 1083, 623, 95204, 45012, 9274, 3070, 236787, 7263, 3801, 4585, 532, 72143, 528, 8099, 18280, 827, 623, 6011, 1083, 623, 219967, 6811, 236743, 236778, 236771, 236778, 236812, 159415, 4065, 7930, 15523, 5192, 573, 14896, 236772, 120375, 28597, 236772, 207395, 847, 236761, 49308, 10458, 580, 756, 102711, 72143, 49847, 236789, 532, 756, 20450, 83924, 60176, 111492, 2154, 40343, 236789, 607, 14810, 3072, 6224, 34957, 236743, 236825, 236810, 9525, 827, 623, 2451, 1083, 623, 2574, 1411, 5843, 18280, 199283, 14865, 236761, 2187, 236786, 18892, 236786, 1555, 3070, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 2307, 8698, 532, 23693, 699, 8099, 18280, 236858, 236751, 1610, 2460, 67529, 600, 8913, 607, 822, 28597, 236772, 17470, 22888, 236787, 108, 10354, 236743, 236770, 236761, 5213, 12059, 18280, 7086, 29235, 4585, 79535, 33404, 1018, 138, 107, 139, 236772, 5213, 15354, 66515, 48233, 10154, 900, 21931, 14896, 12434, 236761, 138, 107, 139, 236772, 5213, 19469, 22160, 66515, 138, 107, 141, 71510, 1882, 24372, 822, 28597, 236772, 29852, 1960, 531, 1028, 236772, 3663, 496, 10321, 236772, 36359, 8886, 11764, 600, 20756, 8099, 18280, 236858, 236751, 8646, 105326, 236761, 5137, 10318, 22606, 6800, 236772, 45258, 33972, 1651, 9722, 822, 5500, 27820, 1343, 21931, 14896, 92815, 1781, 236829, 138, 107, 139, 236772, 870, 15829, 20303, 5457, 2574, 1411, 5843, 18280, 661, 12959, 236761, 2187, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236825, 236786, 41255, 236772, 17470, 236772, 12886, 99791, 236772, 9944, 236768, 138, 108, 10354, 236743, 236778, 236761, 5213, 147716, 109278, 15467, 15316, 16785, 1018, 138, 107, 139, 236772, 5213, 118971, 34428, 66515, 70535, 8646, 4100, 19455, 607, 28233, 14896, 25398, 236761, 138, 107, 139, 236772, 5213, 12703, 209931, 66515, 138, 107, 141, 71510, 7711, 236743, 236778, 236771, 236778, 236800, 10321, 236772, 36359, 21931, 35490, 7005, 2460, 6800, 108938, 684, 236743, 236812, 236771, 236908, 1651, 57783, 28316, 15154, 4323, 1759, 236772, 2289, 9998, 26545, 236761, 1191, 236858, 236753, 2765, 531, 49523, 672, 2028, 531, 822, 13726, 5417, 14739, 1781, 236829, 138, 107, 139, 236772, 870, 13973, 15316, 16785, 5457, 2574, 1411, 3001, 1438, 661, 25612, 236761, 854, 236786, 4925, 236772, 147889, 236786, 41255, 236772, 725, 26358, 236772, 224845, 236768, 138, 108, 10354, 236743, 236800, 236761, 5213, 95204, 45012, 9274, 3070, 568, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 5213, 88371, 531, 43291, 66515, 138, 107, 141, 236772, 5213, 102711, 72143, 49847, 66515, 165996, 142031, 606, 580, 3892, 1262, 148407, 58442, 822, 28597, 236772, 80234, 236858, 4100, 1913, 506, 2460, 1781, 236829, 138, 107, 141, 236772, 5213, 1425, 111492, 2154, 40343, 66515, 165996, 10896, 51229, 9496, 531, 4926, 822, 3211, 528, 57337, 28023, 236764, 5683, 167845, 9553, 684, 236743, 236825, 236810, 236908, 1781, 236829, 138, 107, 139, 236772, 870, 12104, 3070, 13863, 5457, 2574, 1411, 5843, 18280, 199283, 14865, 236761, 2187, 236786, 18892, 236786, 1555, 3070, 236768, 138, 108, 10354, 5213, 36120, 33879, 573, 5180, 98916, 1018, 138, 107, 236772, 5213, 5493, 9042, 969, 66656, 36767, 66515, 51199, 28597, 236772, 7558, 531, 9998, 15154, 568, 236744, 236761, 236759, 1126, 623, 5466, 1213, 28597, 236772, 29852, 30992, 532, 26342, 4248, 138, 107, 236772, 5213, 56767, 18671, 205224, 66515, 1255, 3518, 3530, 93877, 568, 236744, 236761, 236759, 1126, 623, 11069, 40399, 58435, 1451, 27674, 607, 1023, 8886, 850, 573, 496, 145383, 26367, 4248, 138, 107, 236772, 5213, 10896, 5774, 66515, 127297, 20673, 699, 3068, 4749, 568, 236744, 236761, 236759, 1126, 623, 236812, 236771, 236908, 6800, 9095, 236775, 653, 623, 236770, 236778, 236764, 236771, 236771, 236771, 236862, 40303, 657, 4585, 528, 506, 4556, 4248, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 28233, 3618, 1699, 1239, 44362, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 30598, 236764, 532, 564, 236789, 236757, 6995, 614, 1610, 236772, 68122, 3399, 2460, 573, 1023, 2263, 15707, 8115, 2148, 2297, 236761, 564, 1202, 1601, 8159, 4803, 4668, 10308, 1003, 6595, 1610, 4749, 528, 8099, 18280, 531, 974, 18014, 573, 4709, 5085, 532, 28316, 67529, 236761, 28344, 611, 3927, 573, 506, 1346, 14549, 1610, 2460, 6549, 600, 735, 8432, 1590, 528, 506, 3068, 1051, 236881, 564, 236789, 236757, 6412, 7467, 528, 21931, 35490, 653, 11690, 6237, 600, 1451, 15474, 1800, 30992, 532, 26342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 12059, 18280, 236789, 236751, 4585, 528, 506, 4556, 15467, 199377, 129342, 22204, 607, 59494, 165973, 1264, 827, 623, 6265, 1083, 623, 12059, 18280, 18245, 11922, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 818, 236743, 236778, 236771, 236778, 236812, 4585, 528, 506, 4556, 14680, 16939, 236743, 236770, 236810, 2455, 236772, 7669, 21931, 35490, 236764, 2440, 496, 10321, 236772, 36359, 2214, 59600, 532, 3399, 30918, 2203, 236764, 10314, 1024, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 13131, 221476, 3714, 3250, 1083, 623, 29235, 137276, 4585, 236787, 8099, 18280, 236789, 236751, 46586, 8886, 40383, 23855, 190304, 48630, 827, 623, 6265, 1083, 623, 193228, 40502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 6011, 1083, 623, 4199, 51229, 9496, 1610, 13234, 5862, 13131, 531, 2707, 5177, 144668, 580, 17110, 10692, 236764, 607, 33000, 699, 2263, 14896, 48951, 532, 7363, 2780, 29049, 221476, 3714, 3250, 1083, 623, 46640, 112200, 236787, 7940, 7171, 4585, 7879, 21807, 1472, 121558, 532, 18592, 71762, 1929, 827, 623, 6265, 1083, 623, 12059, 18280, 80501, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 13149, 11421, 532, 8646, 4402, 2619, 18224, 1610, 35490, 580, 842, 236761, 782, 1256, 19212, 236764, 18482, 40399, 5417, 532, 21931, 1813, 21615, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 659, 4803, 14549, 1610, 4749, 528, 8099, 18280, 600, 1451, 30463, 822, 15707, 8115, 5085, 236787, 108, 236770, 236761, 5213, 9175, 528, 506, 4556, 15467, 568, 12055, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 108632, 5213, 78360, 58435, 1018, 1133, 496, 10321, 236772, 36359, 2214, 59600, 532, 496, 3399, 30918, 2203, 236761, 138, 107, 139, 236772, 58138, 236743, 236770, 236778, 236764, 236771, 236771, 236771, 236862, 13131, 236764, 6807, 3188, 3399, 15154, 236761, 138, 108, 236778, 236761, 5213, 112543, 8886, 4585, 23855, 568, 30902, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 32300, 524, 607, 14896, 48951, 531, 2619, 614, 5213, 202942, 9496, 13234, 1018, 22964, 236764, 66051, 5177, 1610, 607, 17110, 10692, 236761, 138, 107, 139, 236772, 63368, 67529, 607, 7363, 2780, 29049, 236764, 36674, 32801, 2707, 236761, 138, 108, 236800, 236761, 5213, 50613, 7171, 4585, 7879, 568, 36956, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 62718, 5213, 125595, 82730, 1018, 607, 1610, 4323, 18224, 58435, 1603, 699, 40399, 5417, 532, 21931, 1813, 21615, 580, 842, 236761, 782, 1256, 19212, 236761, 138, 108, 9208, 8698, 8357, 7760, 573, 5213, 17470, 67529, 125546, 5213, 41255, 236772, 18865, 35490, 125546, 532, 5213, 37939, 236772, 27612, 5699, 84750, 21284, 611, 1133, 1601, 68657, 3530, 6549, 653, 28316, 33000, 573, 822, 2460, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 18014, 236888, 669, 8886, 13234, 532, 40399, 58435, 5057, 4011, 573, 1023, 3399, 44249, 236761, 28344, 611, 3927, 573, 2263, 8099, 18280, 29049, 653, 90760, 1015, 65607, 528, 28597, 236772, 18865, 5417, 653, 14896, 236772, 5140, 1610, 35490, 236881, 564, 236858, 236753, 2765, 531, 5370, 855, 531, 3435, 85505, 573, 21931, 93951, 653, 28023, 236761, 15704, 1161, 30154, 1133, 756, 12059, 18280, 13726, 1610, 14767, 236789, 653, 756, 12059, 18280, 14896, 236772, 661, 33000, 236789, 528, 822, 3927, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 12059, 18280, 33474, 2639, 236787, 43804, 236772, 83899, 4585, 77245, 573, 12263, 235606, 827, 623, 6386, 1083, 623, 65897, 98881, 827, 623, 6011, 1083, 623, 17224, 9175, 30510, 2372, 236761, 5469, 496, 2644, 529, 106326, 42145, 532, 40399, 12002, 5417, 573, 8099, 18280, 11421, 10498, 623, 2451, 1083, 623, 2574, 1411, 5843, 18280, 10671, 661, 12079, 236761, 854, 236786, 199283, 236772, 22102, 8135, 23179, 3714, 3250, 1083, 623, 29235, 236772, 9175, 40073, 847, 2261, 14152, 8099, 18280, 236789, 236751, 23727, 50647, 827, 623, 6386, 1083, 623, 12720, 8943, 827, 623, 6011, 1083, 623, 13149, 26847, 55835, 157663, 6627, 607, 1237, 11421, 531, 2619, 21931, 35490, 1699, 10321, 236772, 36359, 8886, 14896, 10498, 623, 2451, 1083, 623, 2574, 1411, 17470, 661, 5843, 18280, 236761, 12959, 236786, 236778, 236771, 236778, 236810, 236786, 1475, 8561, 236772, 16518, 23179, 3714, 3250, 1083, 623, 17120, 236787, 43804, 236772, 1505, 1166, 1434, 168889, 743, 117724, 8099, 18280, 827, 623, 6386, 1083, 623, 17224, 21887, 26194, 827, 623, 6011, 1083, 623, 166695, 529, 236743, 236770, 236778, 2263, 29049, 2440, 1276, 22004, 33511, 18605, 532, 29277, 10343, 236743, 236800, 236796, 4585, 10201, 10498, 623, 2451, 1083, 623, 2574, 1411, 10671, 54301, 1364, 236761, 854, 236786, 6047, 236772, 144749, 743, 23179, 3714, 3250, 1083, 623, 102711, 4585, 196725, 42641, 32237, 531, 8099, 18280, 151945, 827, 623, 6386, 1083, 623, 65944, 11860, 827, 623, 6011, 1083, 623, 9818, 2748, 580, 43804, 236823, 976, 35408, 236789, 26070, 58435, 26613, 684, 26070, 2778, 699, 14680, 40303, 10498, 623, 2451, 1083, 623, 2574, 1411, 50694, 3001, 1438, 236761, 2108, 236786, 78360, 236772, 661, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 2263, 8099, 18280, 29049, 532, 90760, 600, 8913, 607, 822, 28597, 236772, 18865, 532, 14896, 236772, 661, 22888, 236787, 108, 236770, 236761, 5213, 17224, 9175, 30510, 2372, 99382, 138, 107, 139, 236772, 808, 147716, 236772, 83899, 77245, 63508, 73068, 55600, 742, 42145, 236764, 40399, 12002, 5417, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 17224, 9175, 30510, 2372, 236761, 5457, 2574, 1411, 5843, 18280, 10671, 661, 12079, 236761, 854, 236786, 199283, 236772, 22102, 8135, 236768, 138, 108, 236778, 236761, 5213, 38096, 157663, 1018, 138, 107, 139, 236772, 808, 29235, 236772, 9175, 40073, 847, 63508, 29277, 236772, 36359, 8886, 35490, 236764, 21931, 14896, 236772, 661, 5699, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 38096, 157663, 40073, 847, 5457, 2574, 1411, 17470, 661, 5843, 18280, 236761, 12959, 236786, 236778, 236771, 236778, 236810, 236786, 1475, 8561, 236772, 16518, 236768, 138, 108, 236800, 236761, 5213, 1479, 22004, 33511, 18605, 833, 29277, 10343, 236743, 236800, 236796, 4585, 10201, 1018, 138, 107, 139, 236772, 808, 147716, 236772, 1505, 1166, 1434, 168889, 743, 63508, 6501, 10580, 528, 101922, 5417, 532, 10321, 236772, 36359, 236743, 236800, 236796, 16386, 236761, 138, 107, 139, 236772, 41000, 236787, 870, 17224, 21887, 26194, 5457, 2574, 1411, 10671, 54301, 1364, 236761, 854, 236786, 6047, 236772, 144749, 743, 236768, 138, 108, 236812, 236761, 5213, 147716, 236823, 976, 35408, 1018, 138, 107, 139, 236772, 808, 102711, 173083, 63508, 152089, 58435, 26613, 684, 167845, 7296, 236761, 138, 107, 139, 236772, 21124, 236787, 870, 147716, 236823, 976, 35408, 5457, 2574, 1411, 50694, 3001, 1438, 236761, 2108, 236786, 78360, 236772, 661, 236768, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 21284, 611, 1133, 1601, 66582, 43285, 10396, 531, 1239, 29049, 236881, 138, 107, 236772, 2408, 1374, 564, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 3530, 18669, 6549, 236764, 11690, 35490, 20625, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 4668, 236779, 2305, 5904, 531, 1586, 8698, 529, 6595, 43285, 10396, 653, 13859, 25398, 600, 1032, 1610, 4749, 528, 8099, 18280, 735, 1456, 236881, 564, 236858, 236753, 1133, 531, 1460, 23693, 653, 5192, 600, 37837, 28597, 236772, 18865, 22888, 532, 21931, 14896, 4820, 531, 96453, 1041, 43285, 531, 1239, 29049, 236761, 3792, 236858, 236751, 1161, 30154, 1133, 756, 661, 2460, 28316, 13859, 23693, 8099, 18280, 236789, 653, 756, 41255, 236772, 17470, 43285, 3618, 8698, 236789, 531, 59638, 506, 3927, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 12059, 18280, 4585, 79535, 190304, 43804, 236772, 29235, 111492, 67653, 33404, 827, 623, 6011, 1083, 623, 818, 8099, 18280, 7086, 29235, 4585, 79535, 815, 6469, 496, 28316, 13859, 10318, 79720, 13726, 10154, 532, 21931, 14896, 93877, 236761, 669, 7930, 5132, 43285, 5192, 573, 41775, 28597, 236772, 29852, 29049, 1699, 8886, 236786, 25291, 92815, 532, 6800, 236772, 45258, 33972, 6614, 10498, 623, 2451, 1083, 623, 2574, 1411, 5843, 18280, 661, 12959, 236761, 2187, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236825, 236786, 41255, 236772, 17470, 236772, 12886, 99791, 236772, 9944, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 9818, 16785, 236787, 59494, 98916, 62382, 573, 43804, 236772, 83899, 4585, 31698, 827, 623, 6011, 1083, 623, 236776, 236743, 236778, 236771, 236778, 236800, 8099, 18280, 43804, 109278, 15467, 1624, 2748, 21577, 6595, 43285, 3618, 9108, 26614, 8646, 4100, 19455, 607, 28233, 14896, 25398, 236761, 31278, 5192, 5132, 756, 7711, 10321, 236772, 36359, 21931, 35490, 7005, 2460, 6800, 38649, 684, 236743, 236812, 236771, 236908, 1651, 5683, 28316, 15154, 1343, 1759, 236772, 2289, 9998, 26545, 7085, 827, 623, 2451, 1083, 623, 2574, 1411, 3001, 1438, 661, 25612, 236761, 854, 236786, 4925, 236772, 147889, 236786, 41255, 236772, 725, 26358, 236772, 224845, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236778, 23179, 3714, 3250, 1083, 623, 95204, 45012, 9274, 3070, 236787, 7263, 3801, 4585, 532, 72143, 528, 8099, 18280, 827, 623, 6011, 1083, 623, 219967, 6811, 236743, 236778, 236771, 236778, 236812, 159415, 4065, 7930, 15523, 5192, 573, 14896, 236772, 120375, 28597, 236772, 207395, 847, 236761, 49308, 10458, 580, 756, 102711, 72143, 49847, 236789, 532, 756, 20450, 83924, 60176, 111492, 2154, 40343, 236789, 607, 14810, 3072, 6224, 34957, 236743, 236825, 236810, 9525, 827, 623, 2451, 1083, 623, 2574, 1411, 5843, 18280, 199283, 14865, 236761, 2187, 236786, 18892, 236786, 1555, 3070, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 2307, 8698, 532, 23693, 699, 8099, 18280, 236858, 236751, 1610, 2460, 67529, 600, 8913, 607, 822, 28597, 236772, 17470, 22888, 236787, 108, 10354, 236743, 236770, 236761, 5213, 12059, 18280, 7086, 29235, 4585, 79535, 33404, 1018, 138, 107, 139, 236772, 5213, 15354, 66515, 48233, 10154, 900, 21931, 14896, 12434, 236761, 138, 107, 139, 236772, 5213, 19469, 22160, 66515, 138, 107, 141, 71510, 1882, 24372, 822, 28597, 236772, 29852, 1960, 531, 1028, 236772, 3663, 496, 10321, 236772, 36359, 8886, 11764, 600, 20756, 8099, 18280, 236858, 236751, 8646, 105326, 236761, 5137, 10318, 22606, 6800, 236772, 45258, 33972, 1651, 9722, 822, 5500, 27820, 1343, 21931, 14896, 92815, 1781, 236829, 138, 107, 139, 236772, 870, 15829, 20303, 5457, 2574, 1411, 5843, 18280, 661, 12959, 236761, 2187, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236825, 236786, 41255, 236772, 17470, 236772, 12886, 99791, 236772, 9944, 236768, 138, 108, 10354, 236743, 236778, 236761, 5213, 147716, 109278, 15467, 15316, 16785, 1018, 138, 107, 139, 236772, 5213, 118971, 34428, 66515, 70535, 8646, 4100, 19455, 607, 28233, 14896, 25398, 236761, 138, 107, 139, 236772, 5213, 12703, 209931, 66515, 138, 107, 141, 71510, 7711, 236743, 236778, 236771, 236778, 236800, 10321, 236772, 36359, 21931, 35490, 7005, 2460, 6800, 108938, 684, 236743, 236812, 236771, 236908, 1651, 57783, 28316, 15154, 4323, 1759, 236772, 2289, 9998, 26545, 236761, 1191, 236858, 236753, 2765, 531, 49523, 672, 2028, 531, 822, 13726, 5417, 14739, 1781, 236829, 138, 107, 139, 236772, 870, 13973, 15316, 16785, 5457, 2574, 1411, 3001, 1438, 661, 25612, 236761, 854, 236786, 4925, 236772, 147889, 236786, 41255, 236772, 725, 26358, 236772, 224845, 236768, 138, 108, 10354, 236743, 236800, 236761, 5213, 95204, 45012, 9274, 3070, 568, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 5213, 88371, 531, 43291, 66515, 138, 107, 141, 236772, 5213, 102711, 72143, 49847, 66515, 165996, 142031, 606, 580, 3892, 1262, 148407, 58442, 822, 28597, 236772, 80234, 236858, 4100, 1913, 506, 2460, 1781, 236829, 138, 107, 141, 236772, 5213, 1425, 111492, 2154, 40343, 66515, 165996, 10896, 51229, 9496, 531, 4926, 822, 3211, 528, 57337, 28023, 236764, 5683, 167845, 9553, 684, 236743, 236825, 236810, 236908, 1781, 236829, 138, 107, 139, 236772, 870, 12104, 3070, 13863, 5457, 2574, 1411, 5843, 18280, 199283, 14865, 236761, 2187, 236786, 18892, 236786, 1555, 3070, 236768, 138, 108, 10354, 5213, 36120, 33879, 573, 5180, 98916, 1018, 138, 107, 236772, 5213, 5493, 9042, 969, 66656, 36767, 66515, 51199, 28597, 236772, 7558, 531, 9998, 15154, 568, 236744, 236761, 236759, 1126, 623, 5466, 1213, 28597, 236772, 29852, 30992, 532, 26342, 4248, 138, 107, 236772, 5213, 56767, 18671, 205224, 66515, 1255, 3518, 3530, 93877, 568, 236744, 236761, 236759, 1126, 623, 11069, 40399, 58435, 1451, 27674, 607, 1023, 8886, 850, 573, 496, 145383, 26367, 4248, 138, 107, 236772, 5213, 10896, 5774, 66515, 127297, 20673, 699, 3068, 4749, 568, 236744, 236761, 236759, 1126, 623, 236812, 236771, 236908, 6800, 9095, 236775, 653, 623, 236770, 236778, 236764, 236771, 236771, 236771, 236862, 40303, 657, 4585, 528, 506, 4556, 4248, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 28233, 3618, 1699, 1239, 44362, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 111101, 236772, 68122, 2523, 12441, 2148, 2069, 532, 1202, 822, 1601, 607, 1156, 2432, 236761, 5315, 236764, 564, 1461, 531, 2426, 506, 51599, 7606, 14415, 573, 22403, 1024, 506, 2148, 236743, 236810, 2668, 531, 10741, 768, 692, 1374, 4253, 625, 19850, 236761, 9674, 236764, 564, 1202, 531, 1586, 496, 3530, 31831, 237028, 20591, 128727, 47948, 237028, 23557, 2338, 1041, 2263, 16403, 2436, 563, 855, 529, 2862, 236761, 3199, 611, 8091, 872, 506, 7606, 1262, 573, 22403, 532, 3927, 16403, 6720, 737, 913, 236761, 854, 573, 5756, 653, 19555, 496, 5573, 128727, 47948, 236881, 564, 236858, 236753, 2765, 531, 735, 3835, 5508, 573, 1800, 506, 19573, 532, 506, 10294, 1694, 684, 16922, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236800, 236770, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 22631, 7217, 827, 623, 44340, 236779, 60423, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236828, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 96123, 14958, 827, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236825, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 112920, 14958, 827, 623, 44340, 236779, 60423, 1083, 236743, 236778, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236810, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 233840, 6927, 827, 623, 44340, 236779, 60423, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236812, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 45060, 827, 623, 44340, 236779, 60423, 1083, 236743, 236828, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236828, 104960, 623, 6011, 1083, 623, 120365, 795, 2707, 10723, 3582, 55748, 580, 5142, 236743, 236770, 236810, 594, 568, 11480, 236743, 236800, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 779, 607, 5683, 6927, 18190, 580, 5142, 236743, 236770, 236825, 594, 568, 11480, 236743, 236778, 236819, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 46586, 6614, 1374, 56856, 5142, 236743, 236770, 236810, 594, 12399, 653, 11006, 23803, 573, 5142, 236743, 236770, 236825, 594, 4749, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 32051, 562, 5573, 184606, 188726, 568, 12415, 529, 236743, 236810, 22730, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 32051, 586, 45869, 111101, 7070, 52138, 47948, 236764, 7436, 573, 94814, 532, 73059, 3510, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 40323, 236772, 20591, 236772, 34517, 13703, 23179, 3714, 1201, 1083, 623, 172633, 562, 5573, 184606, 188726, 568, 236770, 236778, 16109, 19559, 22730, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236764, 623, 7777, 1083, 623, 18318, 236772, 89754, 496, 5573, 128727, 47948, 607, 18487, 18434, 236764, 4011, 573, 579, 40892, 532, 111698, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 89754, 236772, 20591, 236772, 34517, 13703, 23179, 3714, 1201, 1083, 623, 236776, 5573, 184606, 77559, 568, 236828, 16109, 33983, 22730, 623, 9707, 1083, 236743, 236825, 236761, 236832, 236819, 236764, 623, 7777, 1083, 623, 33778, 236772, 1071, 236772, 1930, 21836, 1603, 699, 236743, 236770, 236771, 236771, 236908, 496, 5573, 128727, 47948, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 20591, 236772, 34517, 13703, 236772, 21104, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 10479, 236779, 8194, 1083, 3714, 500, 113458, 1083, 1847, 236764, 623, 9707, 236779, 976, 236779, 11480, 1083, 2416, 236764, 623, 9707, 236779, 11480, 236779, 976, 1083, 2416, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 111101, 236772, 68122, 12441, 6995, 236787, 108, 1018, 120365, 28789, 74544, 568, 27403, 236743, 236770, 236810, 236772, 236770, 236825, 1473, 1018, 107, 236772, 5213, 27403, 236743, 236770, 236810, 594, 568, 6259, 11663, 1473, 1018, 25179, 55748, 236764, 236743, 236800, 236770, 237366, 236780, 236764, 11893, 6927, 6584, 568, 236810, 11376, 1271, 7436, 573, 11690, 16083, 107, 236772, 5213, 27403, 236743, 236770, 236825, 594, 53121, 65025, 6927, 9948, 568, 236828, 236810, 236908, 684, 5597, 779, 30927, 657, 236743, 236778, 236812, 237366, 236780, 1271, 1966, 21469, 21609, 2731, 107, 236772, 18324, 23257, 236787, 236743, 236770, 236771, 236772, 236770, 236828, 7251, 236786, 236754, 5459, 506, 2846, 108, 1018, 236776, 5573, 184606, 68664, 28636, 580, 16403, 6720, 737, 913, 236761, 854, 53121, 107, 236770, 236761, 236743, 247861, 238178, 28776, 562, 5573, 184606, 188726, 568, 12415, 529, 236743, 236810, 236768, 138, 107, 139, 236795, 236828, 236761, 236819, 236819, 1109, 870, 902, 13827, 5457, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 40323, 236772, 20591, 236772, 34517, 13703, 236768, 138, 107, 139, 236829, 17043, 573, 6672, 164596, 7896, 653, 94814, 236829, 108, 236778, 236761, 236743, 248265, 143812, 562, 5573, 184606, 188726, 568, 236770, 236778, 16109, 19559, 236768, 138, 107, 139, 236795, 236770, 236778, 236761, 236812, 236819, 1109, 870, 236800, 2378, 5457, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 89754, 236772, 20591, 236772, 34517, 13703, 236768, 138, 107, 139, 236829, 54133, 573, 3043, 214855, 653, 111698, 236829, 108, 236800, 236761, 236743, 247404, 562, 5573, 184606, 77559, 568, 236828, 16109, 33983, 236768, 138, 107, 139, 236795, 236825, 236761, 236832, 236819, 1109, 870, 33778, 236772, 1071, 236772, 1930, 5457, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 20591, 236772, 34517, 13703, 236772, 21104, 236768, 138, 107, 139, 236829, 148935, 970, 5086, 573, 3823, 12652, 236829, 108, 211199, 236787, 12045, 5756, 47948, 573, 58542, 532, 2426, 1063, 573, 3435, 1884, 9127, 236761, 669, 21836, 5086, 5469, 496, 1822, 21609, 768, 611, 1202, 23535, 15830, 236761, 1701, 11690, 6614, 236764, 56856, 5142, 236743, 236770, 236810, 594, 12399, 2721, 580, 506, 3582, 7606, 4771, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 111101, 236772, 68122, 2523, 12441, 2148, 2069, 532, 1202, 822, 1601, 607, 1156, 2432, 236761, 5315, 236764, 564, 1461, 531, 2426, 506, 51599, 7606, 14415, 573, 22403, 1024, 506, 2148, 236743, 236810, 2668, 531, 10741, 768, 692, 1374, 4253, 625, 19850, 236761, 9674, 236764, 564, 1202, 531, 1586, 496, 3530, 31831, 237028, 20591, 128727, 47948, 237028, 23557, 2338, 1041, 2263, 16403, 2436, 563, 855, 529, 2862, 236761, 3199, 611, 8091, 872, 506, 7606, 1262, 573, 22403, 532, 3927, 16403, 6720, 737, 913, 236761, 854, 573, 5756, 653, 19555, 496, 5573, 128727, 47948, 236881, 564, 236858, 236753, 2765, 531, 735, 3835, 5508, 573, 1800, 506, 19573, 532, 506, 10294, 1694, 684, 16922, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236800, 236770, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 22631, 7217, 827, 623, 44340, 236779, 60423, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236828, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 96123, 14958, 827, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236825, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 112920, 14958, 827, 623, 44340, 236779, 60423, 1083, 236743, 236778, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236810, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 233840, 6927, 827, 623, 44340, 236779, 60423, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236778, 236812, 236764, 623, 25441, 1083, 623, 236780, 827, 623, 19216, 1083, 623, 45060, 827, 623, 44340, 236779, 60423, 1083, 236743, 236828, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236828, 104960, 623, 6011, 1083, 623, 120365, 795, 2707, 10723, 3582, 55748, 580, 5142, 236743, 236770, 236810, 594, 568, 11480, 236743, 236800, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 779, 607, 5683, 6927, 18190, 580, 5142, 236743, 236770, 236825, 594, 568, 11480, 236743, 236778, 236819, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 46586, 6614, 1374, 56856, 5142, 236743, 236770, 236810, 594, 12399, 653, 11006, 23803, 573, 5142, 236743, 236770, 236825, 594, 4749, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 32051, 562, 5573, 184606, 188726, 568, 12415, 529, 236743, 236810, 22730, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 32051, 586, 45869, 111101, 7070, 52138, 47948, 236764, 7436, 573, 94814, 532, 73059, 3510, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 40323, 236772, 20591, 236772, 34517, 13703, 23179, 3714, 1201, 1083, 623, 172633, 562, 5573, 184606, 188726, 568, 236770, 236778, 16109, 19559, 22730, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236764, 623, 7777, 1083, 623, 18318, 236772, 89754, 496, 5573, 128727, 47948, 607, 18487, 18434, 236764, 4011, 573, 579, 40892, 532, 111698, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 89754, 236772, 20591, 236772, 34517, 13703, 23179, 3714, 1201, 1083, 623, 236776, 5573, 184606, 77559, 568, 236828, 16109, 33983, 22730, 623, 9707, 1083, 236743, 236825, 236761, 236832, 236819, 236764, 623, 7777, 1083, 623, 33778, 236772, 1071, 236772, 1930, 21836, 1603, 699, 236743, 236770, 236771, 236771, 236908, 496, 5573, 128727, 47948, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 20591, 236772, 34517, 13703, 236772, 21104, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 10479, 236779, 8194, 1083, 3714, 500, 113458, 1083, 1847, 236764, 623, 9707, 236779, 976, 236779, 11480, 1083, 2416, 236764, 623, 9707, 236779, 11480, 236779, 976, 1083, 2416, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 111101, 236772, 68122, 12441, 6995, 236787, 108, 1018, 120365, 28789, 74544, 568, 27403, 236743, 236770, 236810, 236772, 236770, 236825, 1473, 1018, 107, 236772, 5213, 27403, 236743, 236770, 236810, 594, 568, 6259, 11663, 1473, 1018, 25179, 55748, 236764, 236743, 236800, 236770, 237366, 236780, 236764, 11893, 6927, 6584, 568, 236810, 11376, 1271, 7436, 573, 11690, 16083, 107, 236772, 5213, 27403, 236743, 236770, 236825, 594, 53121, 65025, 6927, 9948, 568, 236828, 236810, 236908, 684, 5597, 779, 30927, 657, 236743, 236778, 236812, 237366, 236780, 1271, 1966, 21469, 21609, 2731, 107, 236772, 18324, 23257, 236787, 236743, 236770, 236771, 236772, 236770, 236828, 7251, 236786, 236754, 5459, 506, 2846, 108, 1018, 236776, 5573, 184606, 68664, 28636, 580, 16403, 6720, 737, 913, 236761, 854, 53121, 107, 236770, 236761, 236743, 247861, 238178, 28776, 562, 5573, 184606, 188726, 568, 12415, 529, 236743, 236810, 236768, 138, 107, 139, 236795, 236828, 236761, 236819, 236819, 1109, 870, 902, 13827, 5457, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 40323, 236772, 20591, 236772, 34517, 13703, 236768, 138, 107, 139, 236829, 17043, 573, 6672, 164596, 7896, 653, 94814, 236829, 108, 236778, 236761, 236743, 248265, 143812, 562, 5573, 184606, 188726, 568, 236770, 236778, 16109, 19559, 236768, 138, 107, 139, 236795, 236770, 236778, 236761, 236812, 236819, 1109, 870, 236800, 2378, 5457, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 89754, 236772, 20591, 236772, 34517, 13703, 236768, 138, 107, 139, 236829, 54133, 573, 3043, 214855, 653, 111698, 236829, 108, 236800, 236761, 236743, 247404, 562, 5573, 184606, 77559, 568, 236828, 16109, 33983, 236768, 138, 107, 139, 236795, 236825, 236761, 236832, 236819, 1109, 870, 33778, 236772, 1071, 236772, 1930, 5457, 2574, 1411, 2769, 236761, 61846, 89657, 913, 236761, 854, 236786, 5930, 236786, 20591, 236772, 34517, 13703, 236772, 21104, 236768, 138, 107, 139, 236829, 148935, 970, 5086, 573, 3823, 12652, 236829, 108, 211199, 236787, 12045, 5756, 47948, 573, 58542, 532, 2426, 1063, 573, 3435, 1884, 9127, 236761, 669, 21836, 5086, 5469, 496, 1822, 21609, 768, 611, 1202, 23535, 15830, 236761, 1701, 11690, 6614, 236764, 56856, 5142, 236743, 236770, 236810, 594, 12399, 2721, 580, 506, 3582, 7606, 4771, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 3530, 1722, 529, 13130, 7157, 43118, 8733, 600, 236789, 236751, 2487, 16445, 528, 216501, 236764, 21044, 236761, 564, 1537, 236789, 236745, 735, 506, 1698, 5853, 653, 10739, 236764, 840, 564, 1281, 9593, 23076, 625, 236761, 3199, 611, 2426, 1144, 236789, 236751, 2487, 236881, 564, 1461, 2613, 600, 4146, 1388, 573, 11690, 5699, 2338, 692, 236858, 560, 1010, 2963, 834, 1623, 6927, 33208, 236761, 7062, 236764, 532, 768, 993, 236858, 236751, 614, 5086, 600, 236858, 236751, 3607, 236772, 16761, 653, 28597, 236772, 18865, 236764, 600, 236858, 236753, 577, 496, 16201, 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, 236799, 236771, 236819, 236917, 117930, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 147716, 68836, 17354, 144681, 27977, 753, 236743, 236771, 236761, 236800, 236771, 16931, 568, 40169, 236772, 134395, 236764, 28789, 236772, 1988, 13040, 22730, 623, 9707, 1083, 6610, 236778, 236812, 236761, 236819, 236819, 753, 609, 236778, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 147716, 236772, 18865, 16593, 827, 623, 9521, 24534, 236772, 36954, 23671, 827, 623, 1692, 236772, 5140, 20925, 152254, 3714, 5930, 236779, 547, 1083, 623, 236799, 236771, 236819, 236917, 149739, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 45060, 42100, 65860, 17354, 27977, 753, 236743, 236771, 236761, 236812, 236810, 16931, 568, 112543, 236772, 116195, 236764, 20148, 236772, 58582, 22730, 623, 9707, 1083, 6610, 236800, 236778, 236761, 236810, 236771, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 827, 623, 16518, 1083, 11058, 17390, 11958, 27713, 827, 623, 236778, 236812, 236772, 13807, 34425, 8341, 827, 623, 8534, 236772, 7577, 573, 6927, 3439, 152254, 3714, 5930, 236779, 547, 1083, 623, 236799, 236771, 236819, 49128, 236824, 236819, 236771, 236770, 236778, 827, 623, 3250, 1083, 623, 17224, 61984, 1276, 41744, 65860, 17354, 753, 236743, 236771, 236761, 236778, 236810, 16931, 568, 147716, 236772, 1505, 1166, 1434, 236764, 21982, 236772, 8410, 6890, 22730, 623, 9707, 1083, 6610, 236770, 236819, 236761, 236828, 236771, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 5766, 10357, 742, 126824, 827, 623, 26834, 236772, 170826, 6581, 827, 623, 201803, 31882, 99471, 1604, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 1072, 39917, 152119, 236797, 236771, 236917, 236778, 37070, 236777, 5400, 236771, 14341, 236874, 236800, 3253, 15485, 13831, 48939, 11234, 39917, 152119, 236797, 236771, 236917, 236800, 236953, 70778, 80657, 236752, 145319, 5160, 2885, 236836, 236778, 236797, 81184, 236810, 189129, 236762, 4754, 236863, 236819, 23179, 623, 7125, 236779, 7212, 1083, 623, 31777, 20723, 236764, 21044, 236743, 236771, 236825, 236828, 236810, 236771, 827, 623, 2305, 236779, 3278, 1083, 623, 36965, 7157, 43118, 8733, 11690, 28597, 236772, 18865, 3607, 236772, 16761, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 13130, 7157, 43118, 8733, 3835, 2487, 528, 216501, 236764, 21044, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 147716, 68836, 17354, 144681, 27977, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236812, 236761, 236819, 236819, 753, 609, 236778, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 25772, 236787, 43804, 236772, 18865, 16593, 236764, 30119, 236772, 36954, 23671, 236764, 3607, 236772, 16761, 20925, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236778, 236761, 5213, 45060, 42100, 65860, 17354, 27977, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236800, 236778, 236761, 236810, 236771, 138, 107, 139, 236772, 25772, 236787, 123929, 27713, 236764, 236743, 236778, 236812, 236772, 13807, 21044, 8341, 236764, 1903, 236772, 7577, 573, 6927, 3439, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 138, 108, 236800, 236761, 5213, 17224, 61984, 1276, 41744, 65860, 17354, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236761, 236828, 236771, 138, 107, 139, 236772, 25772, 236787, 4899, 10357, 742, 126824, 236764, 2708, 236772, 170826, 6581, 236764, 21044, 31882, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 3243, 3835, 659, 7606, 236772, 36954, 532, 2487, 573, 2263, 35312, 236786, 81907, 236761, 2085, 659, 236743, 236810, 2558, 7704, 529, 2536, 568, 99157, 3104, 236743, 236770, 769, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236772, 8754, 919, 2536, 699, 1032, 7704, 236881, 138, 107, 236772, 4987, 9813, 55455, 573, 1027, 529, 1239, 3211, 1699, 910, 62606, 236881, 138, 107, 236772, 28293, 3342, 684, 3385, 653, 3530, 4065, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 236743, 247975, 238178, 247898, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 3530, 1722, 529, 13130, 7157, 43118, 8733, 600, 236789, 236751, 2487, 16445, 528, 216501, 236764, 21044, 236761, 564, 1537, 236789, 236745, 735, 506, 1698, 5853, 653, 10739, 236764, 840, 564, 1281, 9593, 23076, 625, 236761, 3199, 611, 2426, 1144, 236789, 236751, 2487, 236881, 564, 1461, 2613, 600, 4146, 1388, 573, 11690, 5699, 2338, 692, 236858, 560, 1010, 2963, 834, 1623, 6927, 33208, 236761, 7062, 236764, 532, 768, 993, 236858, 236751, 614, 5086, 600, 236858, 236751, 3607, 236772, 16761, 653, 28597, 236772, 18865, 236764, 600, 236858, 236753, 577, 496, 16201, 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, 236799, 236771, 236819, 236917, 117930, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 147716, 68836, 17354, 144681, 27977, 753, 236743, 236771, 236761, 236800, 236771, 16931, 568, 40169, 236772, 134395, 236764, 28789, 236772, 1988, 13040, 22730, 623, 9707, 1083, 6610, 236778, 236812, 236761, 236819, 236819, 753, 609, 236778, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 147716, 236772, 18865, 16593, 827, 623, 9521, 24534, 236772, 36954, 23671, 827, 623, 1692, 236772, 5140, 20925, 152254, 3714, 5930, 236779, 547, 1083, 623, 236799, 236771, 236819, 236917, 149739, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 45060, 42100, 65860, 17354, 27977, 753, 236743, 236771, 236761, 236812, 236810, 16931, 568, 112543, 236772, 116195, 236764, 20148, 236772, 58582, 22730, 623, 9707, 1083, 6610, 236800, 236778, 236761, 236810, 236771, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 827, 623, 16518, 1083, 11058, 17390, 11958, 27713, 827, 623, 236778, 236812, 236772, 13807, 34425, 8341, 827, 623, 8534, 236772, 7577, 573, 6927, 3439, 152254, 3714, 5930, 236779, 547, 1083, 623, 236799, 236771, 236819, 49128, 236824, 236819, 236771, 236770, 236778, 827, 623, 3250, 1083, 623, 17224, 61984, 1276, 41744, 65860, 17354, 753, 236743, 236771, 236761, 236778, 236810, 16931, 568, 147716, 236772, 1505, 1166, 1434, 236764, 21982, 236772, 8410, 6890, 22730, 623, 9707, 1083, 6610, 236770, 236819, 236761, 236828, 236771, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 16518, 1083, 11058, 5766, 10357, 742, 126824, 827, 623, 26834, 236772, 170826, 6581, 827, 623, 201803, 31882, 99471, 1604, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 1072, 39917, 152119, 236797, 236771, 236917, 236778, 37070, 236777, 5400, 236771, 14341, 236874, 236800, 3253, 15485, 13831, 48939, 11234, 39917, 152119, 236797, 236771, 236917, 236800, 236953, 70778, 80657, 236752, 145319, 5160, 2885, 236836, 236778, 236797, 81184, 236810, 189129, 236762, 4754, 236863, 236819, 23179, 623, 7125, 236779, 7212, 1083, 623, 31777, 20723, 236764, 21044, 236743, 236771, 236825, 236828, 236810, 236771, 827, 623, 2305, 236779, 3278, 1083, 623, 36965, 7157, 43118, 8733, 11690, 28597, 236772, 18865, 3607, 236772, 16761, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 13130, 7157, 43118, 8733, 3835, 2487, 528, 216501, 236764, 21044, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 147716, 68836, 17354, 144681, 27977, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236812, 236761, 236819, 236819, 753, 609, 236778, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 25772, 236787, 43804, 236772, 18865, 16593, 236764, 30119, 236772, 36954, 23671, 236764, 3607, 236772, 16761, 20925, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 236778, 236761, 5213, 45060, 42100, 65860, 17354, 27977, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236800, 236778, 236761, 236810, 236771, 138, 107, 139, 236772, 25772, 236787, 123929, 27713, 236764, 236743, 236778, 236812, 236772, 13807, 21044, 8341, 236764, 1903, 236772, 7577, 573, 6927, 3439, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 138, 108, 236800, 236761, 5213, 17224, 61984, 1276, 41744, 65860, 17354, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236761, 236828, 236771, 138, 107, 139, 236772, 25772, 236787, 4899, 10357, 742, 126824, 236764, 2708, 236772, 170826, 6581, 236764, 21044, 31882, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 108, 3243, 3835, 659, 7606, 236772, 36954, 532, 2487, 573, 2263, 35312, 236786, 81907, 236761, 2085, 659, 236743, 236810, 2558, 7704, 529, 2536, 568, 99157, 3104, 236743, 236770, 769, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236772, 8754, 919, 2536, 699, 1032, 7704, 236881, 138, 107, 236772, 4987, 9813, 55455, 573, 1027, 529, 1239, 3211, 1699, 910, 62606, 236881, 138, 107, 236772, 28293, 3342, 684, 3385, 653, 3530, 4065, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 236743, 247975, 238178, 247898, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1610, 2197, 91624, 531, 32545, 2263, 10592, 532, 1202, 496, 2317, 1595, 531, 11723, 625, 3489, 236761, 564, 236858, 560, 2506, 614, 2471, 5508, 753, 625, 236858, 236751, 496, 4429, 529, 1041, 6524, 213554, 54934, 844, 236772, 52728, 11710, 657, 870, 2574, 1411, 141401, 1365, 661, 236761, 854, 236786, 18582, 236786, 14221, 91624, 236778, 236771, 236778, 236800, 236761, 4034, 5457, 2574, 1411, 141401, 1365, 661, 236761, 854, 236786, 18582, 236786, 14221, 91624, 236778, 236771, 236778, 236800, 236761, 4034, 769, 3199, 611, 8729, 496, 40741, 1699, 672, 2471, 607, 16627, 1816, 600, 3189, 623, 12357, 2850, 24149, 17494, 52907, 200364, 113714, 833, 67217, 236794, 1768, 3354, 236888, 4585, 236764, 2780, 236764, 532, 8511, 98230, 657, 24278, 236858, 236751, 8224, 12410, 91624, 1271, 236743, 236810, 3840, 657, 506, 235073, 11493, 6022, 9332, 564, 1461, 625, 531, 2597, 28239, 532, 38564, 236764, 16590, 506, 2778, 529, 20587, 72558, 236858, 236751, 130235, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 185124, 236779, 2451, 1083, 623, 2574, 1411, 8182, 13575, 236761, 8358, 236761, 854, 236786, 4606, 236786, 236832, 236781, 236819, 236751, 236778, 236745, 236810, 236761, 5067, 827, 623, 4818, 1083, 623, 236792, 7772, 7835, 10428, 607, 28239, 1816, 39137, 16590, 20587, 72558, 236789, 236751, 30918, 3117, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 28239, 40741, 531, 11723, 506, 3399, 1610, 2197, 91624, 236888, 108, 24960, 9175, 12410, 91624, 205203, 5457, 2574, 1411, 8182, 13575, 236761, 8358, 236761, 854, 236786, 4606, 236786, 236832, 236781, 236819, 236751, 236778, 236745, 236810, 236761, 5067, 236768, 108, 818, 40741, 28619, 822, 213554, 54934, 844, 236772, 52728, 20431, 607, 16627, 1816, 39137, 528, 506, 12815, 3117, 529, 20587, 72558, 236789, 236751, 130235, 236761, 1599, 740, 4024, 672, 580, 2777, 4009, 607, 506, 44358, 236787, 107, 236775, 245838, 239794, 11063, 236789, 236751, 5508, 531, 6921, 1610, 236764, 2780, 833, 8511, 236881, 5137, 3399, 2197, 91624, 3548, 24149, 16078, 124288, 568, 624, 1791, 1533, 552, 47473, 8224, 236743, 236810, 3840, 657, 235073, 11493, 6022, 997, 107305, 9175, 33071, 91624, 236743, 250046, 236775, 108, 2094, 1374, 2619, 28242, 1651, 16977, 506, 9226, 223750, 611, 236789, 500, 42351, 573, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1610, 2197, 91624, 531, 32545, 2263, 10592, 532, 1202, 496, 2317, 1595, 531, 11723, 625, 3489, 236761, 564, 236858, 560, 2506, 614, 2471, 5508, 753, 625, 236858, 236751, 496, 4429, 529, 1041, 6524, 213554, 54934, 844, 236772, 52728, 11710, 657, 870, 2574, 1411, 141401, 1365, 661, 236761, 854, 236786, 18582, 236786, 14221, 91624, 236778, 236771, 236778, 236800, 236761, 4034, 5457, 2574, 1411, 141401, 1365, 661, 236761, 854, 236786, 18582, 236786, 14221, 91624, 236778, 236771, 236778, 236800, 236761, 4034, 769, 3199, 611, 8729, 496, 40741, 1699, 672, 2471, 607, 16627, 1816, 600, 3189, 623, 12357, 2850, 24149, 17494, 52907, 200364, 113714, 833, 67217, 236794, 1768, 3354, 236888, 4585, 236764, 2780, 236764, 532, 8511, 98230, 657, 24278, 236858, 236751, 8224, 12410, 91624, 1271, 236743, 236810, 3840, 657, 506, 235073, 11493, 6022, 9332, 564, 1461, 625, 531, 2597, 28239, 532, 38564, 236764, 16590, 506, 2778, 529, 20587, 72558, 236858, 236751, 130235, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 185124, 236779, 2451, 1083, 623, 2574, 1411, 8182, 13575, 236761, 8358, 236761, 854, 236786, 4606, 236786, 236832, 236781, 236819, 236751, 236778, 236745, 236810, 236761, 5067, 827, 623, 4818, 1083, 623, 236792, 7772, 7835, 10428, 607, 28239, 1816, 39137, 16590, 20587, 72558, 236789, 236751, 30918, 3117, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 28239, 40741, 531, 11723, 506, 3399, 1610, 2197, 91624, 236888, 108, 24960, 9175, 12410, 91624, 205203, 5457, 2574, 1411, 8182, 13575, 236761, 8358, 236761, 854, 236786, 4606, 236786, 236832, 236781, 236819, 236751, 236778, 236745, 236810, 236761, 5067, 236768, 108, 818, 40741, 28619, 822, 213554, 54934, 844, 236772, 52728, 20431, 607, 16627, 1816, 39137, 528, 506, 12815, 3117, 529, 20587, 72558, 236789, 236751, 130235, 236761, 1599, 740, 4024, 672, 580, 2777, 4009, 607, 506, 44358, 236787, 107, 236775, 245838, 239794, 11063, 236789, 236751, 5508, 531, 6921, 1610, 236764, 2780, 833, 8511, 236881, 5137, 3399, 2197, 91624, 3548, 24149, 16078, 124288, 568, 624, 1791, 1533, 552, 47473, 8224, 236743, 236810, 3840, 657, 235073, 11493, 6022, 997, 107305, 9175, 33071, 91624, 236743, 250046, 236775, 108, 2094, 1374, 2619, 28242, 1651, 16977, 506, 9226, 223750, 611, 236789, 500, 42351, 573, 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, 1774, 236772, 20353, 4284, 7946, 531, 9516, 49215, 4025, 4556, 607, 4690, 532, 1202, 1601, 607, 1156, 2432, 94970, 236761, 5315, 236764, 564, 1202, 531, 2426, 1041, 1295, 236789, 236751, 15020, 4981, 531, 1386, 2889, 625, 236789, 236751, 1535, 573, 506, 7946, 236761, 669, 10945, 7319, 563, 5213, 31348, 236770, 236778, 236800, 125546, 77648, 563, 5213, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 125546, 532, 564, 236789, 236757, 528, 5213, 69033, 84750, 9674, 236764, 564, 1461, 531, 6463, 1070, 1903, 236772, 7577, 2196, 21019, 13283, 573, 17042, 532, 27695, 7075, 8159, 237028, 44784, 1133, 2343, 178179, 653, 126777, 28887, 840, 2196, 236761, 3199, 611, 8091, 872, 506, 1873, 1694, 529, 1903, 2196, 21019, 13283, 532, 4071, 236772, 4256, 1091, 607, 7500, 15020, 4889, 236881, 1191, 236789, 500, 9542, 528, 614, 6468, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 41239, 236779, 5640, 1083, 623, 31348, 236770, 236778, 236800, 827, 623, 3255, 1083, 623, 69033, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 63595, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 41239, 236779, 2084, 1083, 623, 83871, 508, 827, 623, 101436, 236779, 4818, 1083, 623, 13280, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 6796, 236779, 3315, 236779, 29847, 1083, 78493, 1201, 1083, 623, 3243, 178179, 827, 623, 10618, 1083, 623, 112543, 833, 36759, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 118708, 1083, 623, 236770, 236771, 236792, 135527, 623, 7777, 1083, 623, 91270, 13571, 236764, 10595, 236764, 532, 28887, 17042, 573, 27893, 236764, 71124, 236764, 532, 4710, 221476, 3714, 1201, 1083, 623, 62999, 236761, 1336, 827, 623, 10618, 1083, 623, 22294, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 118708, 1083, 623, 236810, 236771, 236792, 135527, 623, 7777, 1083, 623, 129822, 13571, 607, 2490, 236772, 2003, 236772, 887, 17042, 532, 13174, 236777, 17324, 221476, 3714, 1201, 1083, 623, 7084, 229279, 4507, 827, 623, 10618, 1083, 623, 112543, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 118708, 1083, 623, 236770, 236792, 135527, 623, 7777, 1083, 623, 7084, 236772, 6265, 135849, 13571, 573, 27893, 236764, 29967, 236764, 532, 31509, 221476, 3714, 1201, 1083, 623, 85901, 80843, 827, 623, 10618, 1083, 623, 44410, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 118708, 1083, 623, 236810, 236792, 135527, 623, 7777, 1083, 623, 137938, 13254, 532, 23338, 1699, 51229, 9496, 532, 13571, 221476, 3714, 1201, 1083, 623, 164729, 833, 134937, 28887, 827, 623, 10618, 1083, 623, 112543, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 118708, 1083, 623, 236810, 236771, 236771, 236855, 135527, 623, 7777, 1083, 623, 129822, 13571, 236764, 9116, 6995, 236764, 532, 91556, 91422, 573, 182489, 1781, 104960, 623, 2763, 37755, 1083, 623, 1613, 9282, 1903, 236772, 7577, 2196, 21019, 13283, 528, 506, 756, 112543, 236789, 8038, 568, 14801, 236787, 2590, 236764, 5192, 236787, 5422, 769, 1701, 7500, 15020, 17507, 236764, 6618, 822, 2263, 194480, 4456, 653, 850, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6749, 1938, 573, 822, 9516, 49215, 19063, 236787, 108, 245701, 5213, 50615, 36997, 18365, 568, 69033, 21593, 236770, 236778, 236800, 1473, 1018, 107, 236772, 113452, 23531, 1343, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236825, 107, 236772, 70987, 8123, 236787, 3415, 98881, 107, 236772, 40088, 1722, 236787, 127704, 107, 236772, 21174, 236787, 30638, 108, 245215, 5213, 8534, 9617, 21019, 43442, 573, 7901, 14463, 2974, 53121, 107, 236770, 236761, 5213, 3243, 178179, 1018, 568, 236812, 236761, 236832, 238672, 236768, 753, 23855, 13571, 833, 28887, 17042, 107, 236778, 236761, 5213, 62999, 236761, 1336, 1018, 568, 236812, 236761, 236825, 238672, 236768, 753, 137201, 13571, 607, 2490, 236772, 2003, 236772, 887, 15232, 107, 236800, 236761, 5213, 7084, 229279, 4507, 1018, 568, 236812, 236761, 236810, 238672, 236768, 753, 48756, 135849, 13571, 107, 236812, 236761, 5213, 85901, 80843, 1018, 568, 236812, 236761, 236828, 238672, 236768, 753, 8886, 10565, 16118, 107, 236810, 236761, 5213, 164729, 833, 134937, 28887, 1018, 568, 236812, 236761, 236812, 238672, 236768, 753, 129042, 785, 91422, 900, 9116, 6995, 108, 3048, 236789, 500, 1535, 531, 817, 236888, 36997, 563, 1873, 573, 236743, 236800, 236862, 1518, 236764, 532, 1239, 13283, 795, 6060, 17042, 236786, 195788, 3548, 236761, 39247, 236761, 1336, 4146, 35726, 753, 4011, 573, 4106, 607, 7075, 1363, 2509, 236761, 30164, 33036, 236888, 236743, 247344, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1774, 236772, 20353, 4284, 7946, 531, 9516, 49215, 4025, 4556, 607, 4690, 532, 1202, 1601, 607, 1156, 2432, 94970, 236761, 5315, 236764, 564, 1202, 531, 2426, 1041, 1295, 236789, 236751, 15020, 4981, 531, 1386, 2889, 625, 236789, 236751, 1535, 573, 506, 7946, 236761, 669, 10945, 7319, 563, 5213, 31348, 236770, 236778, 236800, 125546, 77648, 563, 5213, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 125546, 532, 564, 236789, 236757, 528, 5213, 69033, 84750, 9674, 236764, 564, 1461, 531, 6463, 1070, 1903, 236772, 7577, 2196, 21019, 13283, 573, 17042, 532, 27695, 7075, 8159, 237028, 44784, 1133, 2343, 178179, 653, 126777, 28887, 840, 2196, 236761, 3199, 611, 8091, 872, 506, 1873, 1694, 529, 1903, 2196, 21019, 13283, 532, 4071, 236772, 4256, 1091, 607, 7500, 15020, 4889, 236881, 1191, 236789, 500, 9542, 528, 614, 6468, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 41239, 236779, 5640, 1083, 623, 31348, 236770, 236778, 236800, 827, 623, 3255, 1083, 623, 69033, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 63595, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 41239, 236779, 2084, 1083, 623, 83871, 508, 827, 623, 101436, 236779, 4818, 1083, 623, 13280, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 6796, 236779, 3315, 236779, 29847, 1083, 78493, 1201, 1083, 623, 3243, 178179, 827, 623, 10618, 1083, 623, 112543, 833, 36759, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 118708, 1083, 623, 236770, 236771, 236792, 135527, 623, 7777, 1083, 623, 91270, 13571, 236764, 10595, 236764, 532, 28887, 17042, 573, 27893, 236764, 71124, 236764, 532, 4710, 221476, 3714, 1201, 1083, 623, 62999, 236761, 1336, 827, 623, 10618, 1083, 623, 22294, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 118708, 1083, 623, 236810, 236771, 236792, 135527, 623, 7777, 1083, 623, 129822, 13571, 607, 2490, 236772, 2003, 236772, 887, 17042, 532, 13174, 236777, 17324, 221476, 3714, 1201, 1083, 623, 7084, 229279, 4507, 827, 623, 10618, 1083, 623, 112543, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 118708, 1083, 623, 236770, 236792, 135527, 623, 7777, 1083, 623, 7084, 236772, 6265, 135849, 13571, 573, 27893, 236764, 29967, 236764, 532, 31509, 221476, 3714, 1201, 1083, 623, 85901, 80843, 827, 623, 10618, 1083, 623, 44410, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 118708, 1083, 623, 236810, 236792, 135527, 623, 7777, 1083, 623, 137938, 13254, 532, 23338, 1699, 51229, 9496, 532, 13571, 221476, 3714, 1201, 1083, 623, 164729, 833, 134937, 28887, 827, 623, 10618, 1083, 623, 112543, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 118708, 1083, 623, 236810, 236771, 236771, 236855, 135527, 623, 7777, 1083, 623, 129822, 13571, 236764, 9116, 6995, 236764, 532, 91556, 91422, 573, 182489, 1781, 104960, 623, 2763, 37755, 1083, 623, 1613, 9282, 1903, 236772, 7577, 2196, 21019, 13283, 528, 506, 756, 112543, 236789, 8038, 568, 14801, 236787, 2590, 236764, 5192, 236787, 5422, 769, 1701, 7500, 15020, 17507, 236764, 6618, 822, 2263, 194480, 4456, 653, 850, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6749, 1938, 573, 822, 9516, 49215, 19063, 236787, 108, 245701, 5213, 50615, 36997, 18365, 568, 69033, 21593, 236770, 236778, 236800, 1473, 1018, 107, 236772, 113452, 23531, 1343, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236825, 107, 236772, 70987, 8123, 236787, 3415, 98881, 107, 236772, 40088, 1722, 236787, 127704, 107, 236772, 21174, 236787, 30638, 108, 245215, 5213, 8534, 9617, 21019, 43442, 573, 7901, 14463, 2974, 53121, 107, 236770, 236761, 5213, 3243, 178179, 1018, 568, 236812, 236761, 236832, 238672, 236768, 753, 23855, 13571, 833, 28887, 17042, 107, 236778, 236761, 5213, 62999, 236761, 1336, 1018, 568, 236812, 236761, 236825, 238672, 236768, 753, 137201, 13571, 607, 2490, 236772, 2003, 236772, 887, 15232, 107, 236800, 236761, 5213, 7084, 229279, 4507, 1018, 568, 236812, 236761, 236810, 238672, 236768, 753, 48756, 135849, 13571, 107, 236812, 236761, 5213, 85901, 80843, 1018, 568, 236812, 236761, 236828, 238672, 236768, 753, 8886, 10565, 16118, 107, 236810, 236761, 5213, 164729, 833, 134937, 28887, 1018, 568, 236812, 236761, 236812, 238672, 236768, 753, 129042, 785, 91422, 900, 9116, 6995, 108, 3048, 236789, 500, 1535, 531, 817, 236888, 36997, 563, 1873, 573, 236743, 236800, 236862, 1518, 236764, 532, 1239, 13283, 795, 6060, 17042, 236786, 195788, 3548, 236761, 39247, 236761, 1336, 4146, 35726, 753, 4011, 573, 4106, 607, 7075, 1363, 2509, 236761, 30164, 33036, 236888, 236743, 247344, 247506, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 67981, 1070, 3184, 14477, 528, 5348, 14148, 156637, 1003, 4867, 44970, 236764, 532, 564, 1461, 531, 1407, 1091, 15067, 528, 7094, 11461, 573, 4699, 528, 34499, 43008, 236789, 236751, 15078, 7095, 236761, 28344, 611, 12270, 506, 40731, 7094, 11461, 573, 496, 2544, 600, 19887, 808, 2740, 4294, 22856, 142645, 236829, 236881, 564, 5630, 901, 1053, 496, 2862, 5404, 6250, 607, 623, 2807, 5610, 236775, 840, 1041, 6571, 5889, 236789, 236745, 1144, 625, 1456, 531, 577, 236761, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 12270, 506, 40731, 7094, 11461, 573, 496, 2544, 75706, 808, 2740, 4294, 22856, 142645, 236829, 699, 34499, 43008, 236761, 5612, 611, 6950, 506, 2862, 5404, 9857, 607, 623, 2807, 5610, 2098, 564, 236789, 859, 1161, 600, 618, 506, 5404, 7689, 236761, 3792, 786, 2426, 506, 2487, 6436, 1390, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 2807, 5610, 827, 623, 25385, 236779, 1201, 1083, 623, 11585, 530, 40830, 56341, 34499, 43008, 5295, 10498, 623, 27617, 1083, 623, 38556, 827, 623, 27163, 236779, 86303, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 83122, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 13769, 236779, 1340, 236779, 71386, 236779, 54492, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 97024, 236779, 17341, 1083, 236743, 236812, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 115714, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 83122, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 13769, 236779, 1340, 236779, 71386, 236779, 54492, 1083, 236743, 236828, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 97024, 236779, 17341, 1083, 236743, 236812, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 115714, 1083, 236743, 236778, 236819, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236770, 236825, 236810, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 83122, 1083, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 13769, 236779, 1340, 236779, 71386, 236779, 54492, 1083, 236743, 236819, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 97024, 236779, 17341, 1083, 236743, 236812, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 115714, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 104960, 623, 23184, 1083, 623, 3243, 9732, 528, 11252, 236761, 5674, 7094, 22136, 236743, 236800, 236772, 3704, 3877, 7003, 6807, 236743, 236778, 236771, 236908, 3553, 699, 236743, 236778, 236771, 236778, 236770, 531, 236743, 236778, 236771, 236778, 236800, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7094, 5456, 7003, 3671, 573, 5213, 11585, 530, 40830, 56341, 34499, 43008, 5295, 236761, 568, 2807, 5610, 62902, 236764, 496, 5830, 110800, 529, 808, 2740, 4294, 22856, 142645, 236829, 568, 80706, 3732, 2279, 236768, 699, 34499, 43008, 236787, 108, 1018, 3503, 16906, 48993, 568, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236800, 1473, 1018, 107, 236909, 8799, 1109, 34607, 6131, 236792, 236768, 1109, 38962, 67679, 6131, 236792, 236768, 1109, 5674, 30521, 6131, 236792, 236768, 1109, 5674, 30521, 26608, 1109, 107, 236909, 33129, 236909, 29118, 236909, 2819, 171168, 2819, 119434, 2819, 171168, 107, 236909, 236743, 236778, 236771, 236778, 236770, 1109, 236743, 236770, 236778, 236810, 236764, 236771, 236771, 236771, 142, 236909, 236743, 236812, 236800, 236764, 236771, 236771, 236771, 148, 236909, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 146, 236909, 753, 153, 236909, 107, 236909, 236743, 236778, 236771, 236778, 236778, 1109, 236743, 236770, 236800, 236778, 236764, 236771, 236771, 236771, 142, 236909, 236743, 236812, 236825, 236764, 236771, 236771, 236771, 148, 236909, 236743, 236770, 236825, 236764, 236810, 236771, 236771, 146, 236909, 900, 236770, 236771, 236908, 150, 236909, 107, 236909, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236770, 236812, 236771, 236764, 236771, 236771, 236771, 142, 236909, 236743, 236812, 236819, 236764, 236771, 236771, 236771, 148, 236909, 236743, 236770, 236828, 236764, 236771, 236771, 236771, 146, 236909, 900, 236778, 236771, 236908, 568, 236800, 236772, 3704, 236768, 141, 236909, 108, 1018, 110447, 36526, 573, 5180, 587, 3194, 507, 53121, 107, 236770, 236761, 5213, 223207, 26608, 53121, 236743, 236770, 236778, 236908, 10471, 3877, 699, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236800, 3831, 21494, 2436, 5056, 573, 34499, 129379, 15078, 19887, 107, 236778, 236761, 5213, 27088, 81909, 53121, 38962, 5416, 9806, 699, 236743, 236800, 236812, 236761, 236812, 236908, 531, 236743, 236800, 236810, 236908, 9785, 15213, 3719, 5384, 107, 236800, 236761, 5213, 191132, 71293, 53121, 38641, 14348, 13958, 31878, 1082, 10471, 568, 236819, 236761, 236800, 236908, 7728, 236743, 236770, 236778, 236908, 3877, 779, 9204, 2657, 7094, 3877, 107, 236812, 236761, 5213, 15098, 88444, 53121, 212432, 529, 5559, 15179, 618, 2657, 7094, 13958, 236743, 236778, 236771, 236908, 1651, 10471, 4869, 236743, 236770, 236778, 236908, 108, 818, 2544, 236789, 236751, 163555, 7495, 3188, 3736, 528, 506, 17795, 9479, 11264, 2436, 236764, 607, 2931, 6332, 528, 16977, 46407, 9785, 1868, 236772, 93913, 6429, 7797, 8991, 236761, 1174, 1093, 577, 614, 7516, 1624, 2748, 573, 6611, 7094, 5456, 24781, 532, 15078, 7095, 30319, 236761, 21284, 611, 1133, 786, 531, 9279, 3530, 4867, 24781, 653, 10769, 672, 531, 3956, 80293, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 67981, 1070, 3184, 14477, 528, 5348, 14148, 156637, 1003, 4867, 44970, 236764, 532, 564, 1461, 531, 1407, 1091, 15067, 528, 7094, 11461, 573, 4699, 528, 34499, 43008, 236789, 236751, 15078, 7095, 236761, 28344, 611, 12270, 506, 40731, 7094, 11461, 573, 496, 2544, 600, 19887, 808, 2740, 4294, 22856, 142645, 236829, 236881, 564, 5630, 901, 1053, 496, 2862, 5404, 6250, 607, 623, 2807, 5610, 236775, 840, 1041, 6571, 5889, 236789, 236745, 1144, 625, 1456, 531, 577, 236761, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 12270, 506, 40731, 7094, 11461, 573, 496, 2544, 75706, 808, 2740, 4294, 22856, 142645, 236829, 699, 34499, 43008, 236761, 5612, 611, 6950, 506, 2862, 5404, 9857, 607, 623, 2807, 5610, 2098, 564, 236789, 859, 1161, 600, 618, 506, 5404, 7689, 236761, 3792, 786, 2426, 506, 2487, 6436, 1390, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 2807, 5610, 827, 623, 25385, 236779, 1201, 1083, 623, 11585, 530, 40830, 56341, 34499, 43008, 5295, 10498, 623, 27617, 1083, 623, 38556, 827, 623, 27163, 236779, 86303, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 83122, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 13769, 236779, 1340, 236779, 71386, 236779, 54492, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 97024, 236779, 17341, 1083, 236743, 236812, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 115714, 1083, 236743, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 83122, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 13769, 236779, 1340, 236779, 71386, 236779, 54492, 1083, 236743, 236828, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 97024, 236779, 17341, 1083, 236743, 236812, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 115714, 1083, 236743, 236778, 236819, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236770, 236825, 236810, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 83122, 1083, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 13769, 236779, 1340, 236779, 71386, 236779, 54492, 1083, 236743, 236819, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 97024, 236779, 17341, 1083, 236743, 236812, 236819, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 115714, 1083, 236743, 236800, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 104960, 623, 23184, 1083, 623, 3243, 9732, 528, 11252, 236761, 5674, 7094, 22136, 236743, 236800, 236772, 3704, 3877, 7003, 6807, 236743, 236778, 236771, 236908, 3553, 699, 236743, 236778, 236771, 236778, 236770, 531, 236743, 236778, 236771, 236778, 236800, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7094, 5456, 7003, 3671, 573, 5213, 11585, 530, 40830, 56341, 34499, 43008, 5295, 236761, 568, 2807, 5610, 62902, 236764, 496, 5830, 110800, 529, 808, 2740, 4294, 22856, 142645, 236829, 568, 80706, 3732, 2279, 236768, 699, 34499, 43008, 236787, 108, 1018, 3503, 16906, 48993, 568, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236800, 1473, 1018, 107, 236909, 8799, 1109, 34607, 6131, 236792, 236768, 1109, 38962, 67679, 6131, 236792, 236768, 1109, 5674, 30521, 6131, 236792, 236768, 1109, 5674, 30521, 26608, 1109, 107, 236909, 33129, 236909, 29118, 236909, 2819, 171168, 2819, 119434, 2819, 171168, 107, 236909, 236743, 236778, 236771, 236778, 236770, 1109, 236743, 236770, 236778, 236810, 236764, 236771, 236771, 236771, 142, 236909, 236743, 236812, 236800, 236764, 236771, 236771, 236771, 148, 236909, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 146, 236909, 753, 153, 236909, 107, 236909, 236743, 236778, 236771, 236778, 236778, 1109, 236743, 236770, 236800, 236778, 236764, 236771, 236771, 236771, 142, 236909, 236743, 236812, 236825, 236764, 236771, 236771, 236771, 148, 236909, 236743, 236770, 236825, 236764, 236810, 236771, 236771, 146, 236909, 900, 236770, 236771, 236908, 150, 236909, 107, 236909, 236743, 236778, 236771, 236778, 236800, 1109, 236743, 236770, 236812, 236771, 236764, 236771, 236771, 236771, 142, 236909, 236743, 236812, 236819, 236764, 236771, 236771, 236771, 148, 236909, 236743, 236770, 236828, 236764, 236771, 236771, 236771, 146, 236909, 900, 236778, 236771, 236908, 568, 236800, 236772, 3704, 236768, 141, 236909, 108, 1018, 110447, 36526, 573, 5180, 587, 3194, 507, 53121, 107, 236770, 236761, 5213, 223207, 26608, 53121, 236743, 236770, 236778, 236908, 10471, 3877, 699, 236743, 236778, 236771, 236778, 236770, 236772, 236778, 236771, 236778, 236800, 3831, 21494, 2436, 5056, 573, 34499, 129379, 15078, 19887, 107, 236778, 236761, 5213, 27088, 81909, 53121, 38962, 5416, 9806, 699, 236743, 236800, 236812, 236761, 236812, 236908, 531, 236743, 236800, 236810, 236908, 9785, 15213, 3719, 5384, 107, 236800, 236761, 5213, 191132, 71293, 53121, 38641, 14348, 13958, 31878, 1082, 10471, 568, 236819, 236761, 236800, 236908, 7728, 236743, 236770, 236778, 236908, 3877, 779, 9204, 2657, 7094, 3877, 107, 236812, 236761, 5213, 15098, 88444, 53121, 212432, 529, 5559, 15179, 618, 2657, 7094, 13958, 236743, 236778, 236771, 236908, 1651, 10471, 4869, 236743, 236770, 236778, 236908, 108, 818, 2544, 236789, 236751, 163555, 7495, 3188, 3736, 528, 506, 17795, 9479, 11264, 2436, 236764, 607, 2931, 6332, 528, 16977, 46407, 9785, 1868, 236772, 93913, 6429, 7797, 8991, 236761, 1174, 1093, 577, 614, 7516, 1624, 2748, 573, 6611, 7094, 5456, 24781, 532, 15078, 7095, 30319, 236761, 21284, 611, 1133, 786, 531, 9279, 3530, 4867, 24781, 653, 10769, 672, 531, 3956, 80293, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236787, 18428, 236888, 564, 236789, 236757, 12498, 236772, 24333, 236761, 2900, 740, 564, 776, 573, 611, 236881, 38773, 236787, 29328, 236888, 564, 236858, 560, 1010, 24595, 9697, 699, 1041, 3272, 236858, 7965, 1003, 910, 9871, 607, 1041, 1610, 236772, 5140, 181518, 5085, 236764, 532, 564, 1461, 531, 3050, 506, 6782, 13690, 15737, 236761, 3199, 611, 18840, 672, 1816, 5498, 573, 27078, 236881, 5715, 236858, 236751, 886, 5739, 236787, 808, 236913, 109816, 236858, 236751, 9578, 4313, 1603, 1041, 1919, 2214, 872, 1913, 14845, 237028, 509, 6345, 1133, 15236, 13348, 236829, 2900, 236858, 236751, 506, 63870, 532, 10805, 6317, 1590, 236881, 564, 236858, 236753, 2765, 531, 10769, 672, 607, 1032, 13630, 3209, 236764, 834, 7463, 2514, 496, 3423, 529, 506, 2536, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 3714, 235710, 1083, 623, 30558, 827, 623, 58578, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236771, 236810, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236771, 236800, 5237, 623, 4375, 1083, 623, 203481, 3671, 7723, 10428, 236761, 51474, 815, 1010, 3742, 531, 822, 3671, 3423, 573, 3402, 9960, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 27078, 3671, 573, 506, 5739, 165996, 109816, 236858, 236751, 9578, 4313, 1603, 1041, 1919, 2214, 872, 1913, 14845, 237028, 509, 6345, 1133, 15236, 9332, 236829, 3831, 236787, 138, 108, 236772, 5213, 94229, 665, 66515, 44771, 236743, 245838, 239794, 138, 107, 236772, 5213, 229806, 95324, 66515, 138, 107, 138, 236772, 44771, 236787, 236743, 236819, 236778, 236908, 138, 107, 138, 236772, 77092, 236787, 236743, 236810, 236908, 138, 107, 138, 236772, 57647, 236787, 236743, 236800, 236908, 138, 108, 818, 1354, 815, 1010, 32575, 528, 822, 3671, 3423, 573, 3402, 9960, 236761, 21284, 611, 1133, 531, 18840, 2264, 3072, 699, 506, 9697, 236881, 564, 740, 4102, 16074, 2536, 573, 611, 236888, 106, 107, 105, 2364, 107, 109816, 236787, 11017, 573, 15512, 600, 1679, 236888, 5715, 236789, 236751, 2264, 78923, 236787, 165996, 109816, 236858, 236751, 1610, 5699, 659, 9578, 236764, 840, 1041, 1919, 3187, 6345, 46002, 684, 506, 43206, 4820, 1133, 7804, 11544, 532, 18762, 4252, 1781, 236829, 3792, 236858, 236751, 18840, 672, 886, 2311, 236761, 564, 236858, 236757, 23210, 1217, 672, 48068, 531, 506, 1171, 3072, 237028, 38917, 506, 52369, 1003, 43206, 66342, 8633, 506, 63870, 236881, 17608, 4087, 529, 1800, 2536, 834, 692, 740, 7075, 9935, 3418, 784, 506, 9697, 3209, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 235710, 1083, 623, 45258, 827, 623, 58578, 236779, 32504, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236812, 236828, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236812, 236778, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236810, 236810, 1807, 106, 107, 105, 4368, 107, 818, 27078, 3671, 573, 506, 5739, 165996, 109816, 236858, 236751, 1610, 5699, 659, 9578, 236764, 840, 1041, 1919, 3187, 6345, 46002, 684, 506, 43206, 4820, 1133, 7804, 11544, 532, 18762, 4252, 1781, 236829, 3831, 236787, 138, 108, 236772, 5213, 94229, 665, 66515, 77092, 236743, 249654, 138, 107, 236772, 5213, 229806, 95324, 66515, 138, 107, 138, 236772, 44771, 236787, 236743, 236812, 236828, 236908, 138, 107, 138, 236772, 57647, 236787, 236743, 236812, 236778, 236908, 138, 107, 138, 236772, 77092, 236787, 236743, 236810, 236810, 236908, 138, 108, 2094, 9697, 41131, 30450, 573, 24597, 607, 10928, 1003, 43206, 66342, 236764, 9113, 528, 496, 12643, 15737, 236761, 669, 52369, 38730, 16625, 1534, 4414, 532, 5676, 4820, 236764, 840, 13637, 71601, 12117, 236761, 669, 1354, 815, 1010, 3742, 531, 822, 3671, 3423, 236761, 21284, 611, 1133, 531, 1657, 919, 13630, 236881, 64608, 1239, 9935, 1451, 1601, 8701, 15067, 528, 1217, 43206, 10217, 653, 24597, 659, 26969, 3418, 9697, 236888, 106, 107, 105, 2364, 107, 109816, 236787, 26660, 625, 236888, 5715, 236858, 236751, 496, 4168, 78923, 236787, 165996, 818, 99255, 5417, 38773, 1456, 964, 14853, 573, 1041, 1919, 236858, 236751, 43206, 2913, 236764, 840, 506, 14845, 6494, 11536, 5226, 236764, 3043, 25477, 45998, 1781, 236829, 3792, 236858, 236751, 18840, 672, 886, 2311, 236761, 564, 1461, 531, 1460, 768, 10231, 8991, 568, 5282, 21238, 236768, 2619, 496, 3361, 12643, 16625, 618, 43206, 104708, 236761, 4140, 672, 531, 506, 3423, 237028, 55477, 1239, 80510, 795, 1601, 786, 6253, 1800, 1041, 25075, 4615, 808, 624, 236829, 39252, 4313, 236761, 2900, 236858, 236751, 506, 63870, 532, 10805, 1590, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 235710, 1083, 623, 45258, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 818, 27078, 3671, 573, 506, 5739, 165996, 818, 99255, 5417, 38773, 1456, 964, 14853, 573, 1041, 1919, 236858, 236751, 43206, 2913, 236764, 840, 506, 14845, 6494, 11536, 5226, 236764, 3043, 25477, 45998, 1781, 236829, 3831, 236787, 138, 108, 236772, 5213, 94229, 665, 66515, 77092, 236743, 249654, 138, 107, 236772, 5213, 229806, 66515, 236743, 236832, 236810, 236908, 568, 45258, 15241, 563, 51641, 2953, 236768, 138, 108, 2094, 3072, 41131, 3188, 30450, 573, 99255, 5417, 568, 30558, 27078, 236768, 607, 24348, 1003, 39252, 8991, 568, 27851, 27078, 779, 9113, 528, 496, 12643, 15737, 236761, 669, 5213, 236832, 236810, 236908, 10805, 1018, 22136, 506, 16625, 1534, 1239, 41895, 4820, 236764, 3361, 531, 1217, 43206, 104708, 528, 4487, 9697, 4464, 98546, 236761, 1174, 12205, 10231, 8991, 568, 236744, 236761, 236759, 1126, 21238, 236768, 740, 11161, 2619, 506, 1638, 110740, 7002, 618, 43206, 236772, 10619, 10928, 236761, 138, 108, 1018, 23910, 98964, 66515, 77092, 63870, 3187, 30952, 1056, 70452, 27517, 28386, 840, 8357, 83979, 4106, 573, 11531, 568, 236744, 236761, 236759, 1126, 39252, 236764, 43206, 30981, 769, 138, 108, 818, 1354, 815, 1010, 3742, 531, 822, 3671, 3423, 236761, 21284, 611, 1133, 531, 1657, 919, 9697, 236881, 120570, 1239, 15067, 1451, 1601, 56856, 30981, 531, 1800, 822, 25075, 4615, 532, 6478, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236787, 18428, 236888, 564, 236789, 236757, 12498, 236772, 24333, 236761, 2900, 740, 564, 776, 573, 611, 236881, 38773, 236787, 29328, 236888, 564, 236858, 560, 1010, 24595, 9697, 699, 1041, 3272, 236858, 7965, 1003, 910, 9871, 607, 1041, 1610, 236772, 5140, 181518, 5085, 236764, 532, 564, 1461, 531, 3050, 506, 6782, 13690, 15737, 236761, 3199, 611, 18840, 672, 1816, 5498, 573, 27078, 236881, 5715, 236858, 236751, 886, 5739, 236787, 808, 236913, 109816, 236858, 236751, 9578, 4313, 1603, 1041, 1919, 2214, 872, 1913, 14845, 237028, 509, 6345, 1133, 15236, 13348, 236829, 2900, 236858, 236751, 506, 63870, 532, 10805, 6317, 1590, 236881, 564, 236858, 236753, 2765, 531, 10769, 672, 607, 1032, 13630, 3209, 236764, 834, 7463, 2514, 496, 3423, 529, 506, 2536, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 3714, 235710, 1083, 623, 30558, 827, 623, 58578, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236771, 236810, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236771, 236800, 5237, 623, 4375, 1083, 623, 203481, 3671, 7723, 10428, 236761, 51474, 815, 1010, 3742, 531, 822, 3671, 3423, 573, 3402, 9960, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 818, 27078, 3671, 573, 506, 5739, 165996, 109816, 236858, 236751, 9578, 4313, 1603, 1041, 1919, 2214, 872, 1913, 14845, 237028, 509, 6345, 1133, 15236, 9332, 236829, 3831, 236787, 138, 108, 236772, 5213, 94229, 665, 66515, 44771, 236743, 245838, 239794, 138, 107, 236772, 5213, 229806, 95324, 66515, 138, 107, 138, 236772, 44771, 236787, 236743, 236819, 236778, 236908, 138, 107, 138, 236772, 77092, 236787, 236743, 236810, 236908, 138, 107, 138, 236772, 57647, 236787, 236743, 236800, 236908, 138, 108, 818, 1354, 815, 1010, 32575, 528, 822, 3671, 3423, 573, 3402, 9960, 236761, 21284, 611, 1133, 531, 18840, 2264, 3072, 699, 506, 9697, 236881, 564, 740, 4102, 16074, 2536, 573, 611, 236888, 106, 107, 105, 2364, 107, 109816, 236787, 11017, 573, 15512, 600, 1679, 236888, 5715, 236789, 236751, 2264, 78923, 236787, 165996, 109816, 236858, 236751, 1610, 5699, 659, 9578, 236764, 840, 1041, 1919, 3187, 6345, 46002, 684, 506, 43206, 4820, 1133, 7804, 11544, 532, 18762, 4252, 1781, 236829, 3792, 236858, 236751, 18840, 672, 886, 2311, 236761, 564, 236858, 236757, 23210, 1217, 672, 48068, 531, 506, 1171, 3072, 237028, 38917, 506, 52369, 1003, 43206, 66342, 8633, 506, 63870, 236881, 17608, 4087, 529, 1800, 2536, 834, 692, 740, 7075, 9935, 3418, 784, 506, 9697, 3209, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 235710, 1083, 623, 45258, 827, 623, 58578, 236779, 32504, 1083, 3714, 30558, 1083, 236743, 236771, 236761, 236812, 236828, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236812, 236778, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236810, 236810, 1807, 106, 107, 105, 4368, 107, 818, 27078, 3671, 573, 506, 5739, 165996, 109816, 236858, 236751, 1610, 5699, 659, 9578, 236764, 840, 1041, 1919, 3187, 6345, 46002, 684, 506, 43206, 4820, 1133, 7804, 11544, 532, 18762, 4252, 1781, 236829, 3831, 236787, 138, 108, 236772, 5213, 94229, 665, 66515, 77092, 236743, 249654, 138, 107, 236772, 5213, 229806, 95324, 66515, 138, 107, 138, 236772, 44771, 236787, 236743, 236812, 236828, 236908, 138, 107, 138, 236772, 57647, 236787, 236743, 236812, 236778, 236908, 138, 107, 138, 236772, 77092, 236787, 236743, 236810, 236810, 236908, 138, 108, 2094, 9697, 41131, 30450, 573, 24597, 607, 10928, 1003, 43206, 66342, 236764, 9113, 528, 496, 12643, 15737, 236761, 669, 52369, 38730, 16625, 1534, 4414, 532, 5676, 4820, 236764, 840, 13637, 71601, 12117, 236761, 669, 1354, 815, 1010, 3742, 531, 822, 3671, 3423, 236761, 21284, 611, 1133, 531, 1657, 919, 13630, 236881, 64608, 1239, 9935, 1451, 1601, 8701, 15067, 528, 1217, 43206, 10217, 653, 24597, 659, 26969, 3418, 9697, 236888, 106, 107, 105, 2364, 107, 109816, 236787, 26660, 625, 236888, 5715, 236858, 236751, 496, 4168, 78923, 236787, 165996, 818, 99255, 5417, 38773, 1456, 964, 14853, 573, 1041, 1919, 236858, 236751, 43206, 2913, 236764, 840, 506, 14845, 6494, 11536, 5226, 236764, 3043, 25477, 45998, 1781, 236829, 3792, 236858, 236751, 18840, 672, 886, 2311, 236761, 564, 1461, 531, 1460, 768, 10231, 8991, 568, 5282, 21238, 236768, 2619, 496, 3361, 12643, 16625, 618, 43206, 104708, 236761, 4140, 672, 531, 506, 3423, 237028, 55477, 1239, 80510, 795, 1601, 786, 6253, 1800, 1041, 25075, 4615, 808, 624, 236829, 39252, 4313, 236761, 2900, 236858, 236751, 506, 63870, 532, 10805, 1590, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 235710, 1083, 623, 45258, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236810, 236783, 106, 107, 105, 4368, 107, 818, 27078, 3671, 573, 506, 5739, 165996, 818, 99255, 5417, 38773, 1456, 964, 14853, 573, 1041, 1919, 236858, 236751, 43206, 2913, 236764, 840, 506, 14845, 6494, 11536, 5226, 236764, 3043, 25477, 45998, 1781, 236829, 3831, 236787, 138, 108, 236772, 5213, 94229, 665, 66515, 77092, 236743, 249654, 138, 107, 236772, 5213, 229806, 66515, 236743, 236832, 236810, 236908, 568, 45258, 15241, 563, 51641, 2953, 236768, 138, 108, 2094, 3072, 41131, 3188, 30450, 573, 99255, 5417, 568, 30558, 27078, 236768, 607, 24348, 1003, 39252, 8991, 568, 27851, 27078, 779, 9113, 528, 496, 12643, 15737, 236761, 669, 5213, 236832, 236810, 236908, 10805, 1018, 22136, 506, 16625, 1534, 1239, 41895, 4820, 236764, 3361, 531, 1217, 43206, 104708, 528, 4487, 9697, 4464, 98546, 236761, 1174, 12205, 10231, 8991, 568, 236744, 236761, 236759, 1126, 21238, 236768, 740, 11161, 2619, 506, 1638, 110740, 7002, 618, 43206, 236772, 10619, 10928, 236761, 138, 108, 1018, 23910, 98964, 66515, 77092, 63870, 3187, 30952, 1056, 70452, 27517, 28386, 840, 8357, 83979, 4106, 573, 11531, 568, 236744, 236761, 236759, 1126, 39252, 236764, 43206, 30981, 769, 138, 108, 818, 1354, 815, 1010, 3742, 531, 822, 3671, 3423, 236761, 21284, 611, 1133, 531, 1657, 919, 9697, 236881, 120570, 1239, 15067, 1451, 1601, 56856, 30981, 531, 1800, 822, 25075, 4615, 532, 6478, 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, 2731, 496, 4284, 7946, 3418, 7001, 573, 1041, 3399, 7972, 5975, 532, 1202, 531, 7715, 573, 7611, 5384, 236761, 5315, 236764, 564, 1461, 531, 1281, 506, 1873, 4559, 4398, 7611, 6527, 528, 7001, 236761, 4298, 236764, 564, 1202, 531, 10769, 6527, 528, 1806, 3530, 9979, 753, 9079, 236764, 64332, 236764, 532, 82706, 753, 531, 3050, 10969, 15936, 236761, 13472, 236764, 564, 236789, 236753, 1133, 531, 1460, 77002, 10969, 14906, 531, 8701, 506, 1346, 2157, 236772, 25931, 4106, 531, 4301, 1343, 236761, 3792, 786, 1281, 1217, 531, 7162, 607, 1239, 6555, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 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, 35896, 236779, 28128, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236778, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236832, 236828, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 236752, 3078, 1083, 623, 236771, 236761, 236828, 236810, 236785, 236756, 236778, 236771, 552, 236786, 236798, 23179, 623, 13319, 236779, 62938, 1083, 78493, 13319, 1083, 623, 50429, 827, 623, 56220, 1083, 870, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 1604, 623, 62938, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236832, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236828, 236800, 236785, 236756, 236778, 236771, 552, 236786, 236798, 236775, 5237, 3714, 13319, 1083, 623, 236799, 56259, 827, 623, 56220, 1083, 870, 236812, 236812, 236761, 236828, 236800, 236832, 236828, 236764, 753, 236771, 236761, 236810, 236832, 236819, 236778, 1604, 623, 62938, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236832, 236819, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236832, 236810, 236785, 236756, 236778, 236771, 552, 236786, 236798, 236775, 5237, 3714, 13319, 1083, 623, 236792, 9478, 3317, 827, 623, 56220, 1083, 870, 236812, 236800, 236761, 236778, 236819, 236825, 236810, 236764, 236743, 236810, 236761, 236800, 236825, 236819, 236828, 1604, 623, 62938, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236770, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236832, 236832, 236785, 236756, 236778, 236771, 552, 236786, 236798, 127096, 1604, 623, 93855, 236779, 80284, 1083, 3714, 943, 38510, 236779, 13647, 1083, 3714, 1201, 1083, 623, 136349, 23451, 236772, 236776, 33309, 9826, 827, 623, 28128, 236779, 199920, 1083, 623, 236770, 236761, 236832, 236812, 236785, 236756, 236778, 236771, 552, 236786, 236798, 23179, 623, 3374, 236779, 39519, 236779, 13647, 1083, 3714, 1201, 1083, 6443, 236756, 236771, 236771, 133807, 236772, 893, 236772, 31756, 827, 623, 28128, 236779, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236825, 236785, 236756, 236778, 236771, 552, 236786, 236798, 23179, 623, 9707, 236779, 8572, 1083, 3714, 18500, 17051, 1083, 11058, 236770, 236761, 236832, 236825, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 236770, 236761, 236819, 236778, 236785, 236756, 236778, 236771, 552, 236786, 236798, 14255, 623, 199920, 1083, 11058, 236770, 236761, 236832, 236771, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 236770, 236761, 236828, 236810, 236785, 236756, 236778, 236771, 552, 236786, 236798, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 25890, 529, 7611, 6527, 528, 7001, 531, 1601, 2731, 822, 4284, 7946, 7715, 236787, 108, 1018, 236770, 236761, 4025, 29748, 37341, 568, 30651, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 107, 236772, 226889, 236787, 11361, 236770, 236761, 236828, 236778, 236786, 236798, 107, 236772, 60989, 236787, 11361, 236770, 236761, 236832, 236828, 236786, 236798, 107, 236772, 129771, 236787, 11361, 236771, 236761, 236828, 236810, 236786, 236798, 108, 1018, 236778, 236761, 4085, 141399, 53121, 107, 236909, 4085, 144, 236909, 226889, 1109, 60989, 1109, 24118, 161, 236909, 107, 236909, 43386, 236909, 24912, 236909, 1611, 236909, 2819, 44042, 236909, 107, 236909, 9079, 143, 236909, 11361, 236770, 236761, 236828, 236832, 236786, 236798, 138, 236909, 11361, 236770, 236761, 236828, 236800, 236786, 236798, 236909, 106237, 6527, 568, 239259, 519, 236772, 893, 236772, 31756, 15544, 107, 236909, 64332, 140, 236909, 11361, 236770, 236761, 236832, 236819, 236786, 236798, 138, 236909, 11361, 236770, 236761, 236832, 236810, 236786, 236798, 236909, 189111, 4128, 568, 136349, 23451, 236772, 236776, 33309, 9826, 15544, 107, 236909, 82706, 139, 236909, 11361, 236770, 236761, 236828, 236770, 236786, 236798, 138, 236909, 11361, 236770, 236761, 236832, 236832, 236786, 236798, 236909, 14537, 236772, 8572, 6527, 150, 236909, 108, 1018, 236800, 236761, 19987, 76374, 53121, 107, 236772, 5213, 5239, 38510, 19037, 53121, 99153, 236772, 236776, 33309, 9826, 568, 236799, 56259, 236789, 236751, 4128, 236768, 607, 26188, 657, 11361, 236770, 236761, 236832, 236812, 236786, 236798, 107, 236772, 5213, 14254, 140143, 19037, 53121, 35562, 519, 236772, 893, 236772, 31756, 568, 50429, 4128, 236768, 607, 38611, 657, 11361, 236770, 236761, 236828, 236825, 236786, 236798, 107, 236772, 5213, 11280, 20214, 53121, 236743, 107, 138, 236772, 226889, 22130, 1534, 11361, 236770, 236761, 236832, 236825, 236772, 236770, 236761, 236819, 236778, 236786, 236798, 107, 138, 236772, 60989, 1534, 11361, 236770, 236761, 236832, 236771, 236772, 236770, 236761, 236828, 236810, 236786, 236798, 108, 1018, 71653, 22113, 91330, 53121, 107, 236770, 236761, 22282, 77372, 4890, 16266, 1343, 99153, 236772, 236776, 33309, 9826, 568, 236799, 56259, 2433, 236768, 1298, 26188, 563, 45920, 107, 236778, 236761, 14066, 18728, 872, 528, 64332, 1680, 16398, 531, 9079, 531, 5571, 3715, 35562, 519, 236772, 893, 236772, 31756, 6527, 107, 236800, 236761, 82706, 236789, 236751, 6527, 659, 5453, 236772, 8572, 236764, 3043, 625, 496, 12643, 150775, 1523, 107, 236812, 236761, 1701, 26188, 11182, 236787, 51508, 15749, 529, 11361, 236771, 236761, 236770, 236770, 236786, 236798, 1534, 45920, 532, 1346, 11162, 9576, 107, 236810, 236761, 1701, 38611, 11182, 236787, 11361, 236771, 236761, 236770, 236800, 236786, 236798, 15749, 3435, 1534, 9576, 108, 38786, 611, 1133, 786, 531, 9279, 23494, 7611, 5384, 2721, 580, 3530, 22086, 1534, 1239, 9979, 653, 10769, 1607, 42301, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 4284, 7946, 3418, 7001, 573, 1041, 3399, 7972, 5975, 532, 1202, 531, 7715, 573, 7611, 5384, 236761, 5315, 236764, 564, 1461, 531, 1281, 506, 1873, 4559, 4398, 7611, 6527, 528, 7001, 236761, 4298, 236764, 564, 1202, 531, 10769, 6527, 528, 1806, 3530, 9979, 753, 9079, 236764, 64332, 236764, 532, 82706, 753, 531, 3050, 10969, 15936, 236761, 13472, 236764, 564, 236789, 236753, 1133, 531, 1460, 77002, 10969, 14906, 531, 8701, 506, 1346, 2157, 236772, 25931, 4106, 531, 4301, 1343, 236761, 3792, 786, 1281, 1217, 531, 7162, 607, 1239, 6555, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 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, 35896, 236779, 28128, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236778, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236832, 236828, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 236752, 3078, 1083, 623, 236771, 236761, 236828, 236810, 236785, 236756, 236778, 236771, 552, 236786, 236798, 23179, 623, 13319, 236779, 62938, 1083, 78493, 13319, 1083, 623, 50429, 827, 623, 56220, 1083, 870, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 1604, 623, 62938, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236832, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236828, 236800, 236785, 236756, 236778, 236771, 552, 236786, 236798, 236775, 5237, 3714, 13319, 1083, 623, 236799, 56259, 827, 623, 56220, 1083, 870, 236812, 236812, 236761, 236828, 236800, 236832, 236828, 236764, 753, 236771, 236761, 236810, 236832, 236819, 236778, 1604, 623, 62938, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236832, 236819, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236832, 236810, 236785, 236756, 236778, 236771, 552, 236786, 236798, 236775, 5237, 3714, 13319, 1083, 623, 236792, 9478, 3317, 827, 623, 56220, 1083, 870, 236812, 236800, 236761, 236778, 236819, 236825, 236810, 236764, 236743, 236810, 236761, 236800, 236825, 236819, 236828, 1604, 623, 62938, 1083, 3714, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236770, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 199920, 1083, 623, 236770, 236761, 236832, 236832, 236785, 236756, 236778, 236771, 552, 236786, 236798, 127096, 1604, 623, 93855, 236779, 80284, 1083, 3714, 943, 38510, 236779, 13647, 1083, 3714, 1201, 1083, 623, 136349, 23451, 236772, 236776, 33309, 9826, 827, 623, 28128, 236779, 199920, 1083, 623, 236770, 236761, 236832, 236812, 236785, 236756, 236778, 236771, 552, 236786, 236798, 23179, 623, 3374, 236779, 39519, 236779, 13647, 1083, 3714, 1201, 1083, 6443, 236756, 236771, 236771, 133807, 236772, 893, 236772, 31756, 827, 623, 28128, 236779, 18500, 17051, 1083, 623, 236770, 236761, 236828, 236825, 236785, 236756, 236778, 236771, 552, 236786, 236798, 23179, 623, 9707, 236779, 8572, 1083, 3714, 18500, 17051, 1083, 11058, 236770, 236761, 236832, 236825, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 236770, 236761, 236819, 236778, 236785, 236756, 236778, 236771, 552, 236786, 236798, 14255, 623, 199920, 1083, 11058, 236770, 236761, 236832, 236771, 236785, 236756, 236778, 236771, 552, 236786, 236798, 827, 623, 236770, 236761, 236828, 236810, 236785, 236756, 236778, 236771, 552, 236786, 236798, 1935, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 25890, 529, 7611, 6527, 528, 7001, 531, 1601, 2731, 822, 4284, 7946, 7715, 236787, 108, 1018, 236770, 236761, 4025, 29748, 37341, 568, 30651, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 107, 236772, 226889, 236787, 11361, 236770, 236761, 236828, 236778, 236786, 236798, 107, 236772, 60989, 236787, 11361, 236770, 236761, 236832, 236828, 236786, 236798, 107, 236772, 129771, 236787, 11361, 236771, 236761, 236828, 236810, 236786, 236798, 108, 1018, 236778, 236761, 4085, 141399, 53121, 107, 236909, 4085, 144, 236909, 226889, 1109, 60989, 1109, 24118, 161, 236909, 107, 236909, 43386, 236909, 24912, 236909, 1611, 236909, 2819, 44042, 236909, 107, 236909, 9079, 143, 236909, 11361, 236770, 236761, 236828, 236832, 236786, 236798, 138, 236909, 11361, 236770, 236761, 236828, 236800, 236786, 236798, 236909, 106237, 6527, 568, 239259, 519, 236772, 893, 236772, 31756, 15544, 107, 236909, 64332, 140, 236909, 11361, 236770, 236761, 236832, 236819, 236786, 236798, 138, 236909, 11361, 236770, 236761, 236832, 236810, 236786, 236798, 236909, 189111, 4128, 568, 136349, 23451, 236772, 236776, 33309, 9826, 15544, 107, 236909, 82706, 139, 236909, 11361, 236770, 236761, 236828, 236770, 236786, 236798, 138, 236909, 11361, 236770, 236761, 236832, 236832, 236786, 236798, 236909, 14537, 236772, 8572, 6527, 150, 236909, 108, 1018, 236800, 236761, 19987, 76374, 53121, 107, 236772, 5213, 5239, 38510, 19037, 53121, 99153, 236772, 236776, 33309, 9826, 568, 236799, 56259, 236789, 236751, 4128, 236768, 607, 26188, 657, 11361, 236770, 236761, 236832, 236812, 236786, 236798, 107, 236772, 5213, 14254, 140143, 19037, 53121, 35562, 519, 236772, 893, 236772, 31756, 568, 50429, 4128, 236768, 607, 38611, 657, 11361, 236770, 236761, 236828, 236825, 236786, 236798, 107, 236772, 5213, 11280, 20214, 53121, 236743, 107, 138, 236772, 226889, 22130, 1534, 11361, 236770, 236761, 236832, 236825, 236772, 236770, 236761, 236819, 236778, 236786, 236798, 107, 138, 236772, 60989, 1534, 11361, 236770, 236761, 236832, 236771, 236772, 236770, 236761, 236828, 236810, 236786, 236798, 108, 1018, 71653, 22113, 91330, 53121, 107, 236770, 236761, 22282, 77372, 4890, 16266, 1343, 99153, 236772, 236776, 33309, 9826, 568, 236799, 56259, 2433, 236768, 1298, 26188, 563, 45920, 107, 236778, 236761, 14066, 18728, 872, 528, 64332, 1680, 16398, 531, 9079, 531, 5571, 3715, 35562, 519, 236772, 893, 236772, 31756, 6527, 107, 236800, 236761, 82706, 236789, 236751, 6527, 659, 5453, 236772, 8572, 236764, 3043, 625, 496, 12643, 150775, 1523, 107, 236812, 236761, 1701, 26188, 11182, 236787, 51508, 15749, 529, 11361, 236771, 236761, 236770, 236770, 236786, 236798, 1534, 45920, 532, 1346, 11162, 9576, 107, 236810, 236761, 1701, 38611, 11182, 236787, 11361, 236771, 236761, 236770, 236800, 236786, 236798, 15749, 3435, 1534, 9576, 108, 38786, 611, 1133, 786, 531, 9279, 23494, 7611, 5384, 2721, 580, 3530, 22086, 1534, 1239, 9979, 653, 10769, 1607, 42301, 3835, 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, 506, 91682, 573, 506, 20690, 38406, 165632, 21637, 2434, 236764, 532, 692, 236789, 500, 13668, 1023, 43219, 236764, 506, 5348, 103338, 209428, 236764, 672, 9735, 236761, 564, 6827, 506, 782, 70524, 6102, 9299, 740, 2583, 877, 5567, 3736, 20673, 573, 184820, 236761, 28344, 611, 8091, 1023, 2434, 236789, 236751, 877, 5567, 1183, 1699, 506, 974, 236779, 1734, 5567, 236779, 845, 5904, 236881, 564, 1461, 531, 1281, 768, 1023, 11356, 15067, 659, 3188, 2342, 910, 56234, 9964, 236761, 5393, 1202, 506, 2290, 5853, 653, 9002, 4889, 611, 1660, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5567, 236779, 547, 1083, 623, 236819, 236828, 236800, 236770, 236828, 236800, 236778, 827, 623, 14992, 236779, 84621, 1083, 3714, 3593, 522, 236779, 45118, 1083, 16150, 236819, 236828, 236778, 827, 623, 85817, 236779, 36217, 236779, 18553, 1083, 236743, 236800, 236761, 236778, 236764, 623, 21314, 236779, 989, 236779, 4240, 616, 1083, 3714, 30948, 3801, 236779, 45118, 1083, 16150, 236812, 236810, 236771, 23179, 623, 21314, 236779, 898, 236779, 4240, 616, 1083, 3714, 30948, 3801, 236779, 45118, 1083, 16150, 236800, 236828, 236771, 23179, 623, 21850, 236779, 5455, 236779, 236810, 236779, 35365, 1083, 236743, 236800, 1263, 623, 157638, 236779, 2865, 1867, 1083, 3714, 18553, 236779, 4503, 236779, 168143, 1083, 236743, 236810, 236761, 236770, 236764, 623, 8147, 236779, 85817, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236761, 236828, 1263, 623, 2478, 236779, 10480, 11303, 1083, 3714, 700, 236779, 157164, 236779, 21314, 236779, 42974, 236779, 30948, 1716, 1083, 3714, 498, 236779, 5521, 236779, 45118, 1083, 16150, 236800, 236770, 236771, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 877, 5567, 1183, 3671, 573, 506, 20690, 38406, 165632, 7728, 236761, 5348, 103338, 209428, 76892, 236787, 108, 1018, 18373, 18698, 48993, 53121, 107, 236772, 215696, 70231, 236787, 783, 236819, 236828, 236778, 568, 22468, 6782, 236768, 107, 236772, 96201, 126229, 29748, 236787, 236743, 236800, 236761, 236778, 810, 2290, 107, 236772, 7728, 28612, 236772, 4974, 524, 23881, 1826, 236787, 783, 236812, 236810, 236771, 56234, 3801, 10256, 568, 11636, 855, 573, 209428, 236789, 2378, 236772, 38149, 56234, 9964, 236768, 107, 236772, 7728, 12488, 236772, 4974, 524, 23881, 1826, 236787, 783, 236800, 236828, 236771, 56234, 3801, 10256, 107, 236772, 77905, 528, 11662, 236743, 236810, 15268, 236787, 236743, 236800, 568, 976, 236764, 17674, 5139, 11356, 236768, 108, 1018, 71912, 99446, 5357, 1867, 61922, 53121, 107, 236772, 209428, 4398, 236743, 236810, 236761, 236770, 8784, 810, 2290, 107, 236772, 23881, 236743, 236770, 236761, 236828, 2033, 8784, 810, 2290, 108, 1018, 89740, 28253, 1048, 53121, 107, 11069, 3577, 76892, 2342, 910, 1903, 56234, 1716, 3831, 496, 783, 236800, 236770, 236771, 580, 236772, 5521, 10256, 2342, 753, 3213, 580, 10264, 1091, 1135, 3225, 607, 1388, 236772, 45499, 65872, 236761, 108, 38786, 611, 1133, 1027, 65977, 1003, 1239, 20673, 653, 4767, 4889, 1003, 3530, 5484, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 506, 91682, 573, 506, 20690, 38406, 165632, 21637, 2434, 236764, 532, 692, 236789, 500, 13668, 1023, 43219, 236764, 506, 5348, 103338, 209428, 236764, 672, 9735, 236761, 564, 6827, 506, 782, 70524, 6102, 9299, 740, 2583, 877, 5567, 3736, 20673, 573, 184820, 236761, 28344, 611, 8091, 1023, 2434, 236789, 236751, 877, 5567, 1183, 1699, 506, 974, 236779, 1734, 5567, 236779, 845, 5904, 236881, 564, 1461, 531, 1281, 768, 1023, 11356, 15067, 659, 3188, 2342, 910, 56234, 9964, 236761, 5393, 1202, 506, 2290, 5853, 653, 9002, 4889, 611, 1660, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5567, 236779, 547, 1083, 623, 236819, 236828, 236800, 236770, 236828, 236800, 236778, 827, 623, 14992, 236779, 84621, 1083, 3714, 3593, 522, 236779, 45118, 1083, 16150, 236819, 236828, 236778, 827, 623, 85817, 236779, 36217, 236779, 18553, 1083, 236743, 236800, 236761, 236778, 236764, 623, 21314, 236779, 989, 236779, 4240, 616, 1083, 3714, 30948, 3801, 236779, 45118, 1083, 16150, 236812, 236810, 236771, 23179, 623, 21314, 236779, 898, 236779, 4240, 616, 1083, 3714, 30948, 3801, 236779, 45118, 1083, 16150, 236800, 236828, 236771, 23179, 623, 21850, 236779, 5455, 236779, 236810, 236779, 35365, 1083, 236743, 236800, 1263, 623, 157638, 236779, 2865, 1867, 1083, 3714, 18553, 236779, 4503, 236779, 168143, 1083, 236743, 236810, 236761, 236770, 236764, 623, 8147, 236779, 85817, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236761, 236828, 1263, 623, 2478, 236779, 10480, 11303, 1083, 3714, 700, 236779, 157164, 236779, 21314, 236779, 42974, 236779, 30948, 1716, 1083, 3714, 498, 236779, 5521, 236779, 45118, 1083, 16150, 236800, 236770, 236771, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 877, 5567, 1183, 3671, 573, 506, 20690, 38406, 165632, 7728, 236761, 5348, 103338, 209428, 76892, 236787, 108, 1018, 18373, 18698, 48993, 53121, 107, 236772, 215696, 70231, 236787, 783, 236819, 236828, 236778, 568, 22468, 6782, 236768, 107, 236772, 96201, 126229, 29748, 236787, 236743, 236800, 236761, 236778, 810, 2290, 107, 236772, 7728, 28612, 236772, 4974, 524, 23881, 1826, 236787, 783, 236812, 236810, 236771, 56234, 3801, 10256, 568, 11636, 855, 573, 209428, 236789, 2378, 236772, 38149, 56234, 9964, 236768, 107, 236772, 7728, 12488, 236772, 4974, 524, 23881, 1826, 236787, 783, 236800, 236828, 236771, 56234, 3801, 10256, 107, 236772, 77905, 528, 11662, 236743, 236810, 15268, 236787, 236743, 236800, 568, 976, 236764, 17674, 5139, 11356, 236768, 108, 1018, 71912, 99446, 5357, 1867, 61922, 53121, 107, 236772, 209428, 4398, 236743, 236810, 236761, 236770, 8784, 810, 2290, 107, 236772, 23881, 236743, 236770, 236761, 236828, 2033, 8784, 810, 2290, 108, 1018, 89740, 28253, 1048, 53121, 107, 11069, 3577, 76892, 2342, 910, 1903, 56234, 1716, 3831, 496, 783, 236800, 236770, 236771, 580, 236772, 5521, 10256, 2342, 753, 3213, 580, 10264, 1091, 1135, 3225, 607, 1388, 236772, 45499, 65872, 236761, 108, 38786, 611, 1133, 1027, 65977, 1003, 1239, 20673, 653, 4767, 4889, 1003, 3530, 5484, 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, 1601, 496, 2606, 529, 5103, 657, 981, 607, 7500, 236772, 10619, 45174, 236764, 532, 886, 1164, 6111, 872, 496, 41086, 5371, 236761, 2195, 236858, 500, 3182, 531, 3717, 496, 1456, 1295, 532, 1186, 735, 496, 11409, 77648, 699, 506, 20925, 236787, 5213, 236770, 98100, 10087, 236828, 236778, 236825, 236800, 236800, 236776, 236770, 236778, 236800, 236812, 236810, 236825, 1018, 568, 5455, 236743, 236825, 26798, 769, 2195, 1461, 531, 2426, 506, 1295, 236858, 236751, 4083, 532, 55455, 840, 1537, 236858, 236745, 735, 506, 2587, 77648, 236761, 5612, 564, 236858, 236757, 1131, 3577, 14396, 532, 17554, 9333, 18361, 1024, 141249, 236764, 564, 1461, 531, 1601, 1091, 16807, 768, 672, 1295, 236858, 236751, 496, 1535, 3772, 236761, 28344, 611, 1161, 506, 5213, 105053, 236812, 236756, 1018, 5904, 531, 8091, 9002, 1262, 611, 740, 607, 1164, 1724, 1774, 236743, 236825, 26798, 236881, 1637, 600, 236858, 236751, 711, 3487, 236764, 1531, 786, 1281, 237028, 60766, 993, 236858, 236751, 2264, 1595, 531, 8214, 1091, 236761, 11017, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9636, 1083, 623, 116379, 827, 623, 4368, 1083, 623, 145058, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236800, 236764, 623, 18330, 1083, 623, 2201, 782, 236825, 827, 623, 19072, 1083, 623, 236800, 236761, 236771, 236798, 782, 236825, 827, 623, 149603, 1083, 623, 78850, 827, 623, 33432, 676, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 236764, 623, 18308, 1083, 3714, 3993, 11568, 236779, 70353, 1083, 236743, 236770, 236764, 623, 105385, 236779, 22491, 1083, 236743, 236778, 236764, 623, 8114, 236779, 53247, 1083, 623, 21550, 23179, 623, 22164, 1083, 3714, 19216, 1083, 623, 11947, 827, 623, 51183, 236779, 2394, 1083, 6610, 236812, 236810, 236771, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7500, 1938, 52236, 1699, 506, 11409, 77648, 3847, 236787, 108, 1018, 236778, 236771, 236771, 236800, 31171, 87542, 8495, 782, 236825, 1018, 138, 107, 236772, 5213, 14525, 53121, 236743, 236800, 236761, 236771, 236798, 782, 236825, 138, 107, 236772, 5213, 150024, 53121, 46564, 138, 107, 236772, 5213, 136088, 53121, 236743, 236770, 236812, 236810, 236764, 236771, 236771, 236771, 7635, 138, 107, 236772, 5213, 24921, 53121, 7886, 138, 107, 236772, 5213, 122598, 12155, 53121, 609, 236812, 236764, 236810, 236771, 236771, 138, 108, 1018, 3503, 10358, 24118, 53121, 138, 107, 236770, 196645, 5213, 236770, 4785, 10054, 1018, 568, 41253, 4889, 607, 20925, 236768, 138, 107, 236778, 196645, 5213, 236778, 3527, 8170, 1018, 138, 107, 236800, 196645, 5213, 4098, 8735, 2487, 1018, 568, 236746, 3262, 2915, 15520, 138, 108, 1018, 211199, 53121, 138, 107, 3834, 609, 236812, 236764, 236810, 236771, 236771, 236764, 672, 100146, 607, 4398, 2436, 1550, 573, 496, 236743, 236778, 236771, 236771, 236800, 87542, 607, 672, 51239, 532, 4194, 236761, 3153, 236764, 506, 10054, 4083, 62096, 28012, 236787, 138, 107, 236772, 29020, 506, 20925, 573, 5213, 100141, 13049, 1018, 699, 506, 10054, 138, 107, 236772, 14066, 496, 5213, 1734, 236772, 73769, 17611, 1018, 684, 496, 26576, 47818, 138, 107, 236772, 7179, 5213, 9767, 54469, 236786, 41239, 4083, 2072, 1018, 568, 584, 711, 3016, 3028, 236768, 138, 108, 38786, 611, 1133, 786, 531, 1601, 10769, 672, 531, 3361, 38332, 653, 37386, 1027, 8330, 55455, 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, 17531, 993, 236888, 564, 1601, 496, 2606, 529, 5103, 657, 981, 607, 7500, 236772, 10619, 45174, 236764, 532, 886, 1164, 6111, 872, 496, 41086, 5371, 236761, 2195, 236858, 500, 3182, 531, 3717, 496, 1456, 1295, 532, 1186, 735, 496, 11409, 77648, 699, 506, 20925, 236787, 5213, 236770, 98100, 10087, 236828, 236778, 236825, 236800, 236800, 236776, 236770, 236778, 236800, 236812, 236810, 236825, 1018, 568, 5455, 236743, 236825, 26798, 769, 2195, 1461, 531, 2426, 506, 1295, 236858, 236751, 4083, 532, 55455, 840, 1537, 236858, 236745, 735, 506, 2587, 77648, 236761, 5612, 564, 236858, 236757, 1131, 3577, 14396, 532, 17554, 9333, 18361, 1024, 141249, 236764, 564, 1461, 531, 1601, 1091, 16807, 768, 672, 1295, 236858, 236751, 496, 1535, 3772, 236761, 28344, 611, 1161, 506, 5213, 105053, 236812, 236756, 1018, 5904, 531, 8091, 9002, 1262, 611, 740, 607, 1164, 1724, 1774, 236743, 236825, 26798, 236881, 1637, 600, 236858, 236751, 711, 3487, 236764, 1531, 786, 1281, 237028, 60766, 993, 236858, 236751, 2264, 1595, 531, 8214, 1091, 236761, 11017, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9636, 1083, 623, 116379, 827, 623, 4368, 1083, 623, 145058, 827, 623, 3704, 1083, 236743, 236778, 236771, 236771, 236800, 236764, 623, 18330, 1083, 623, 2201, 782, 236825, 827, 623, 19072, 1083, 623, 236800, 236761, 236771, 236798, 782, 236825, 827, 623, 149603, 1083, 623, 78850, 827, 623, 33432, 676, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 236764, 623, 18308, 1083, 3714, 3993, 11568, 236779, 70353, 1083, 236743, 236770, 236764, 623, 105385, 236779, 22491, 1083, 236743, 236778, 236764, 623, 8114, 236779, 53247, 1083, 623, 21550, 23179, 623, 22164, 1083, 3714, 19216, 1083, 623, 11947, 827, 623, 51183, 236779, 2394, 1083, 6610, 236812, 236810, 236771, 236771, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7500, 1938, 52236, 1699, 506, 11409, 77648, 3847, 236787, 108, 1018, 236778, 236771, 236771, 236800, 31171, 87542, 8495, 782, 236825, 1018, 138, 107, 236772, 5213, 14525, 53121, 236743, 236800, 236761, 236771, 236798, 782, 236825, 138, 107, 236772, 5213, 150024, 53121, 46564, 138, 107, 236772, 5213, 136088, 53121, 236743, 236770, 236812, 236810, 236764, 236771, 236771, 236771, 7635, 138, 107, 236772, 5213, 24921, 53121, 7886, 138, 107, 236772, 5213, 122598, 12155, 53121, 609, 236812, 236764, 236810, 236771, 236771, 138, 108, 1018, 3503, 10358, 24118, 53121, 138, 107, 236770, 196645, 5213, 236770, 4785, 10054, 1018, 568, 41253, 4889, 607, 20925, 236768, 138, 107, 236778, 196645, 5213, 236778, 3527, 8170, 1018, 138, 107, 236800, 196645, 5213, 4098, 8735, 2487, 1018, 568, 236746, 3262, 2915, 15520, 138, 108, 1018, 211199, 53121, 138, 107, 3834, 609, 236812, 236764, 236810, 236771, 236771, 236764, 672, 100146, 607, 4398, 2436, 1550, 573, 496, 236743, 236778, 236771, 236771, 236800, 87542, 607, 672, 51239, 532, 4194, 236761, 3153, 236764, 506, 10054, 4083, 62096, 28012, 236787, 138, 107, 236772, 29020, 506, 20925, 573, 5213, 100141, 13049, 1018, 699, 506, 10054, 138, 107, 236772, 14066, 496, 5213, 1734, 236772, 73769, 17611, 1018, 684, 496, 26576, 47818, 138, 107, 236772, 7179, 5213, 9767, 54469, 236786, 41239, 4083, 2072, 1018, 568, 584, 711, 3016, 3028, 236768, 138, 108, 38786, 611, 1133, 786, 531, 1601, 10769, 672, 531, 3361, 38332, 653, 37386, 1027, 8330, 55455, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 9903, 1003, 13067, 236828, 236828, 699, 1070, 529, 506, 15036, 18361, 657, 981, 236764, 532, 564, 236789, 236757, 23210, 1144, 784, 506, 68132, 563, 1003, 236761, 3574, 901, 735, 1027, 41383, 653, 34637, 3835, 573, 21637, 236881, 564, 236789, 236753, 2765, 531, 1281, 1217, 625, 4146, 236764, 1581, 768, 625, 236789, 236751, 1164, 573, 2317, 753, 506, 114596, 173828, 4972, 974, 786, 834, 9775, 1913, 506, 5312, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8114, 236779, 13308, 1083, 3714, 19099, 1083, 623, 5166, 532, 6551, 6182, 827, 623, 122910, 236779, 91873, 1083, 11058, 139980, 827, 623, 92443, 827, 623, 132934, 827, 623, 107566, 14255, 623, 30809, 236779, 70733, 1083, 11058, 69069, 827, 623, 85832, 827, 623, 61940, 827, 623, 62372, 827, 623, 236744, 236772, 70733, 14255, 623, 8245, 1493, 236779, 9846, 1083, 11058, 34899, 1257, 827, 623, 3947, 52249, 827, 623, 1749, 236786, 6460, 827, 623, 1215, 125560, 152254, 623, 15206, 66452, 1083, 3714, 42313, 236779, 102158, 1083, 623, 236770, 236771, 236771, 236908, 14664, 4241, 872, 531, 609, 236810, 236771, 573, 861, 5089, 827, 623, 62372, 236779, 63395, 1083, 623, 28898, 34637, 26844, 77434, 236743, 236770, 236771, 236908, 573, 71836, 532, 40098, 236799, 4972, 827, 623, 49104, 236779, 22894, 1083, 623, 3407, 609, 236810, 2196, 1146, 573, 1418, 236743, 236810, 4338, 21637, 22056, 23179, 623, 56905, 1083, 3714, 31935, 1083, 623, 2574, 1411, 41320, 236828, 236828, 236761, 854, 827, 623, 23104, 236779, 29847, 1083, 11058, 67618, 827, 623, 12087, 14255, 623, 25016, 236779, 9442, 1083, 11058, 236778, 236812, 236786, 236832, 3892, 11184, 827, 623, 6774, 1894, 236940, 41320, 236828, 236828, 236761, 28765, 152254, 623, 92973, 1083, 3714, 37802, 1083, 11058, 236780, 2710, 236785, 236756, 236771, 236771, 236744, 236832, 4279, 545, 138312, 827, 623, 236791, 2807, 38850, 23514, 14255, 623, 79598, 236779, 123857, 1083, 623, 25864, 236772, 123532, 3835, 532, 14664, 11649, 2487, 127096, 106, 107, 105, 4368, 107, 40885, 236828, 236828, 5469, 614, 12615, 5058, 573, 8568, 34637, 48030, 236888, 1701, 21637, 7807, 1133, 5869, 236764, 901, 2847, 236787, 108, 1018, 176579, 128960, 28636, 53121, 107, 236772, 15097, 34637, 580, 71836, 532, 40098, 236799, 4972, 607, 236743, 236770, 236771, 236908, 77434, 26844, 107, 236772, 13029, 34637, 4458, 236787, 3273, 1257, 236764, 1523, 52249, 236764, 1024, 236786, 6460, 236764, 532, 26822, 1004, 107, 236772, 10624, 623, 35734, 12142, 236775, 18214, 236787, 65511, 609, 236810, 2196, 53926, 573, 1418, 236743, 236810, 4338, 21637, 22056, 108, 1018, 3503, 25772, 53121, 107, 236770, 236761, 5213, 16651, 46816, 53121, 1799, 5089, 5908, 496, 236743, 236770, 236771, 236771, 236908, 14664, 4241, 872, 531, 609, 236810, 236771, 107, 236778, 236761, 5213, 48873, 123747, 53121, 13863, 4323, 4456, 568, 41320, 236828, 236828, 236761, 854, 236768, 653, 6551, 13283, 568, 67618, 236786, 12087, 236768, 107, 236800, 236761, 5213, 236778, 236812, 236786, 236832, 12730, 53121, 18326, 1343, 3892, 11184, 653, 4553, 1894, 236940, 41320, 236828, 236828, 236761, 28765, 108, 1018, 71122, 24118, 53121, 107, 236772, 45347, 528, 11094, 25538, 532, 23514, 236764, 2487, 528, 22265, 236764, 17254, 236764, 22081, 236764, 532, 14478, 107, 236772, 114596, 173828, 4972, 568, 29033, 15284, 236768, 1149, 735, 5809, 12606, 5483, 531, 71836, 236786, 28365, 236799, 107, 236772, 76738, 18612, 6436, 2487, 2440, 1265, 236772, 123532, 532, 14664, 11649, 108, 38786, 611, 1133, 919, 3530, 4889, 1003, 1027, 2931, 6084, 529, 910, 21637, 34637, 3019, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 8283, 1003, 506, 21637, 34637, 3835, 236888, 5612, 114596, 173828, 4972, 2473, 735, 5809, 12606, 236764, 1451, 611, 2426, 768, 13067, 236828, 236828, 5469, 1027, 9302, 4861, 531, 15474, 607, 2263, 8568, 34637, 236881, 6542, 236764, 564, 236858, 236757, 23210, 1003, 506, 7757, 18612, 6436, 611, 6950, 237028, 46052, 611, 4024, 919, 72320, 1003, 1217, 901, 981, 532, 1217, 531, 2802, 1091, 236881, 564, 236858, 236753, 1461, 531, 1386, 2889, 564, 1161, 672, 103432, 236764, 1581, 768, 1164, 573, 2317, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8114, 236779, 56905, 1083, 3714, 13647, 1083, 623, 139980, 827, 623, 206410, 1083, 3714, 5166, 1083, 1847, 236764, 623, 23104, 236779, 1110, 1083, 1847, 1263, 623, 30809, 236779, 70733, 1083, 11058, 69069, 827, 623, 85832, 827, 623, 236744, 236772, 70733, 827, 623, 98311, 49511, 2263, 9624, 63611, 14255, 623, 83186, 236779, 8245, 1493, 236779, 8194, 1083, 3714, 28699, 236779, 8245, 1493, 1083, 1847, 236764, 623, 495, 236779, 1555, 236779, 236765, 18773, 1083, 1847, 236764, 623, 48446, 236779, 70733, 1083, 1847, 5237, 623, 79598, 236779, 123857, 236779, 18220, 1083, 3714, 12549, 236779, 8889, 1083, 623, 13169, 24961, 1890, 76738, 41302, 827, 623, 16518, 1083, 3714, 69719, 236779, 38617, 1083, 3714, 32320, 1083, 1847, 236764, 623, 65775, 1083, 1847, 236764, 623, 71832, 1083, 1847, 1263, 623, 1508, 236779, 123532, 1083, 3714, 8194, 1083, 11058, 236778, 236812, 236772, 13807, 827, 623, 236832, 236772, 1496, 827, 623, 236800, 236771, 236772, 1496, 827, 623, 104161, 152254, 623, 132772, 236779, 4256, 236779, 2184, 70593, 1083, 1847, 236764, 623, 111667, 236779, 2865, 236779, 23735, 1083, 1847, 1263, 623, 9442, 236779, 18892, 1083, 3714, 3983, 58298, 1083, 10955, 236828, 236812, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236772, 236832, 236828, 236819, 236771, 827, 623, 12952, 236779, 9442, 1083, 1847, 236764, 623, 1508, 236779, 86546, 236779, 2181, 1083, 1847, 5237, 623, 15206, 40246, 236779, 23184, 1083, 623, 8782, 5469, 3204, 8349, 43752, 573, 861, 5089, 532, 3892, 34637, 159504, 236764, 840, 7757, 18612, 6436, 4595, 5158, 17194, 529, 41383, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 611, 15633, 1003, 13067, 236828, 236828, 236789, 236751, 2263, 8568, 34637, 24277, 532, 7757, 18612, 6436, 236787, 108, 1018, 13149, 14669, 128960, 28636, 528, 22265, 53121, 107, 236770, 236761, 5213, 92249, 49511, 24458, 225966, 53121, 236743, 107, 139, 236772, 49308, 12606, 529, 782, 236761, 77763, 236743, 236770, 833, 236743, 236778, 12853, 107, 139, 236772, 18326, 34637, 4458, 236787, 22100, 1257, 236764, 205325, 236764, 7178, 236786, 14713, 107, 236778, 236761, 5213, 46217, 14669, 53121, 107, 139, 236772, 16796, 236772, 4973, 6260, 8568, 4749, 2487, 236743, 236778, 236812, 236786, 236832, 107, 139, 236772, 49308, 9144, 9624, 236764, 18660, 236764, 532, 18533, 107, 236800, 236761, 5213, 28898, 128960, 25396, 53121, 107, 139, 236772, 799, 236772, 1555, 122592, 580, 8008, 12853, 107, 139, 236772, 10170, 236772, 2289, 26844, 30981, 1913, 4972, 108, 1018, 148591, 41302, 25373, 568, 122022, 4323, 11358, 24961, 1890, 76738, 41302, 1473, 1018, 107, 236770, 236761, 5213, 103990, 90897, 53121, 107, 139, 236772, 5833, 6376, 236786, 65775, 236786, 71832, 14664, 17126, 568, 173226, 236768, 107, 139, 236772, 38232, 4576, 236787, 609, 236770, 236771, 236786, 1496, 236764, 5783, 236787, 609, 236810, 236771, 236771, 236786, 1496, 107, 236778, 236761, 5213, 25864, 236772, 1683, 6497, 28636, 53121, 107, 139, 236772, 88086, 11802, 236787, 236743, 236778, 236812, 3885, 236764, 236743, 236832, 2668, 236764, 653, 236743, 236800, 236771, 2668, 107, 139, 236772, 63573, 2881, 20943, 2487, 107, 236800, 236761, 5213, 211284, 7179, 6663, 70593, 53121, 107, 139, 236772, 220465, 6478, 12032, 51679, 568, 236744, 236761, 236759, 1126, 1418, 236743, 236800, 236771, 4310, 236768, 107, 236812, 236761, 5213, 53459, 522, 236772, 8565, 22053, 53121, 107, 139, 236772, 88086, 2881, 19022, 568, 236800, 236772, 236825, 3794, 236768, 107, 139, 236772, 9529, 19022, 236787, 2301, 14209, 2802, 653, 42527, 15840, 108, 1018, 16400, 18238, 53121, 107, 236772, 236743, 236778, 236812, 236786, 236832, 56773, 89626, 236787, 900, 236828, 236812, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236772, 236832, 236828, 236819, 236771, 568, 6796, 2246, 236768, 107, 236772, 799, 236772, 1110, 11184, 1894, 607, 15453, 95163, 107, 236772, 15207, 236772, 86546, 1594, 568, 236770, 236771, 236772, 15884, 32611, 236768, 531, 13901, 18612, 23511, 108, 38786, 611, 1133, 786, 531, 8082, 1027, 529, 1239, 4065, 528, 919, 8052, 236764, 653, 1601, 611, 3050, 1217, 531, 1076, 872, 3530, 7757, 18612, 12239, 236881, 106, 107, 105, 2364, 107, 30092, 611, 3727, 786, 1343, 7121, 1217, 531, 1076, 872, 14664, 11649, 532, 1265, 236772, 123532, 12239, 2918, 236772, 2003, 236772, 9340, 580, 13067, 236828, 236828, 236881, 564, 236858, 236753, 1461, 531, 1502, 607, 26167, 11649, 1133, 609, 236778, 236810, 236786, 1496, 22050, 532, 496, 236743, 236832, 236772, 1496, 1265, 236772, 123532, 5086, 1164, 531, 577, 6338, 236761, 6542, 236764, 1451, 611, 9128, 768, 506, 56773, 89626, 1894, 563, 2487, 236743, 236778, 236812, 236786, 236832, 532, 3363, 901, 735, 5422, 236772, 55952, 95163, 2487, 236881, 564, 236858, 236753, 1461, 531, 1386, 2889, 564, 3050, 1217, 531, 2802, 1601, 768, 4354, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 8214, 531, 6514, 872, 12239, 532, 92578, 1894, 15830, 236787, 108, 1018, 5471, 236772, 2003, 236772, 5471, 76738, 41302, 37827, 53121, 107, 236770, 236761, 5213, 103990, 90897, 6131, 236778, 236810, 236786, 1496, 1473, 1018, 107, 139, 236772, 4568, 1131, 13067, 236828, 236828, 2881, 107, 139, 236772, 11738, 8781, 4822, 568, 3991, 1447, 236768, 1890, 11358, 24961, 107, 139, 236772, 98480, 531, 623, 148591, 41302, 236775, 6937, 107, 139, 236772, 13466, 623, 103990, 90897, 236775, 3336, 107, 139, 236772, 23399, 623, 42362, 46203, 236775, 45112, 1890, 13287, 107, 139, 236772, 10152, 609, 236778, 236810, 528, 506, 2744, 2135, 107, 139, 236772, 5833, 1502, 990, 568, 62353, 236787, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 236768, 107, 139, 236772, 64063, 607, 2881, 8918, 1890, 18898, 108, 236778, 236761, 5213, 236832, 236772, 13265, 15207, 236772, 1683, 6497, 53121, 107, 139, 236772, 799, 11358, 24961, 1890, 76738, 41302, 107, 139, 236772, 11738, 623, 25864, 236772, 1683, 6497, 236775, 3336, 107, 139, 236772, 13466, 623, 94426, 187663, 236775, 5086, 107, 139, 236772, 23399, 12032, 236787, 623, 236832, 27613, 236775, 107, 139, 236772, 26272, 236787, 5833, 36926, 1502, 990, 107, 139, 236772, 64063, 607, 8918, 1890, 55358, 107, 139, 236772, 1599, 236789, 859, 5908, 26093, 4553, 236786, 88622, 108, 1018, 16400, 90329, 53121, 107, 236772, 5213, 92249, 49511, 236502, 32156, 236828, 236812, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236772, 236832, 236828, 236819, 236771, 1473, 1018, 107, 138, 236772, 18326, 236743, 236778, 236812, 236786, 236832, 3894, 531, 5058, 13049, 107, 138, 236772, 5422, 236772, 55952, 11362, 2487, 1913, 11519, 3885, 568, 236828, 1936, 236772, 236770, 236771, 10192, 2263, 990, 236768, 107, 138, 236772, 18711, 5422, 1894, 2487, 657, 784, 2782, 107, 138, 236772, 116281, 236787, 7161, 623, 236770, 236775, 1056, 38951, 573, 5422, 6831, 3835, 108, 236772, 5213, 93993, 12730, 109244, 53121, 107, 138, 236772, 236743, 236778, 236812, 236786, 236832, 15097, 25380, 568, 7571, 1447, 9895, 1473, 236743, 107, 140, 236772, 22160, 29486, 2487, 568, 1439, 236786, 97999, 236786, 4989, 236786, 83202, 236768, 107, 140, 236772, 29748, 3072, 990, 236787, 236743, 236778, 236772, 236800, 4310, 107, 138, 236772, 19955, 12730, 236787, 1894, 236940, 41320, 236828, 236828, 236761, 28765, 568, 236778, 236812, 236786, 236832, 236764, 607, 236743, 236778, 236772, 13807, 3072, 147914, 236768, 108, 1018, 27779, 16661, 33879, 53121, 107, 236770, 236761, 44574, 236743, 236778, 4815, 31324, 573, 2881, 5052, 107, 236778, 236761, 5833, 14626, 82925, 573, 4576, 3540, 14069, 107, 236800, 236761, 6890, 506, 60176, 7179, 4926, 568, 147760, 236743, 236770, 236810, 236772, 20353, 20312, 236768, 107, 236812, 236761, 193123, 506, 1265, 236772, 86546, 1594, 3104, 573, 4841, 2426, 236772, 1365, 108, 38786, 611, 1133, 786, 531, 2847, 75490, 653, 7426, 26309, 573, 1027, 3530, 6555, 236881, 7918, 600, 1651, 506, 5058, 5469, 6079, 5422, 1894, 236764, 56773, 5602, 2509, 18957, 1149, 735, 5809, 5422, 73666, 1913, 1135, 236772, 46858, 3885, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 9903, 1003, 13067, 236828, 236828, 699, 1070, 529, 506, 15036, 18361, 657, 981, 236764, 532, 564, 236789, 236757, 23210, 1144, 784, 506, 68132, 563, 1003, 236761, 3574, 901, 735, 1027, 41383, 653, 34637, 3835, 573, 21637, 236881, 564, 236789, 236753, 2765, 531, 1281, 1217, 625, 4146, 236764, 1581, 768, 625, 236789, 236751, 1164, 573, 2317, 753, 506, 114596, 173828, 4972, 974, 786, 834, 9775, 1913, 506, 5312, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8114, 236779, 13308, 1083, 3714, 19099, 1083, 623, 5166, 532, 6551, 6182, 827, 623, 122910, 236779, 91873, 1083, 11058, 139980, 827, 623, 92443, 827, 623, 132934, 827, 623, 107566, 14255, 623, 30809, 236779, 70733, 1083, 11058, 69069, 827, 623, 85832, 827, 623, 61940, 827, 623, 62372, 827, 623, 236744, 236772, 70733, 14255, 623, 8245, 1493, 236779, 9846, 1083, 11058, 34899, 1257, 827, 623, 3947, 52249, 827, 623, 1749, 236786, 6460, 827, 623, 1215, 125560, 152254, 623, 15206, 66452, 1083, 3714, 42313, 236779, 102158, 1083, 623, 236770, 236771, 236771, 236908, 14664, 4241, 872, 531, 609, 236810, 236771, 573, 861, 5089, 827, 623, 62372, 236779, 63395, 1083, 623, 28898, 34637, 26844, 77434, 236743, 236770, 236771, 236908, 573, 71836, 532, 40098, 236799, 4972, 827, 623, 49104, 236779, 22894, 1083, 623, 3407, 609, 236810, 2196, 1146, 573, 1418, 236743, 236810, 4338, 21637, 22056, 23179, 623, 56905, 1083, 3714, 31935, 1083, 623, 2574, 1411, 41320, 236828, 236828, 236761, 854, 827, 623, 23104, 236779, 29847, 1083, 11058, 67618, 827, 623, 12087, 14255, 623, 25016, 236779, 9442, 1083, 11058, 236778, 236812, 236786, 236832, 3892, 11184, 827, 623, 6774, 1894, 236940, 41320, 236828, 236828, 236761, 28765, 152254, 623, 92973, 1083, 3714, 37802, 1083, 11058, 236780, 2710, 236785, 236756, 236771, 236771, 236744, 236832, 4279, 545, 138312, 827, 623, 236791, 2807, 38850, 23514, 14255, 623, 79598, 236779, 123857, 1083, 623, 25864, 236772, 123532, 3835, 532, 14664, 11649, 2487, 127096, 106, 107, 105, 4368, 107, 40885, 236828, 236828, 5469, 614, 12615, 5058, 573, 8568, 34637, 48030, 236888, 1701, 21637, 7807, 1133, 5869, 236764, 901, 2847, 236787, 108, 1018, 176579, 128960, 28636, 53121, 107, 236772, 15097, 34637, 580, 71836, 532, 40098, 236799, 4972, 607, 236743, 236770, 236771, 236908, 77434, 26844, 107, 236772, 13029, 34637, 4458, 236787, 3273, 1257, 236764, 1523, 52249, 236764, 1024, 236786, 6460, 236764, 532, 26822, 1004, 107, 236772, 10624, 623, 35734, 12142, 236775, 18214, 236787, 65511, 609, 236810, 2196, 53926, 573, 1418, 236743, 236810, 4338, 21637, 22056, 108, 1018, 3503, 25772, 53121, 107, 236770, 236761, 5213, 16651, 46816, 53121, 1799, 5089, 5908, 496, 236743, 236770, 236771, 236771, 236908, 14664, 4241, 872, 531, 609, 236810, 236771, 107, 236778, 236761, 5213, 48873, 123747, 53121, 13863, 4323, 4456, 568, 41320, 236828, 236828, 236761, 854, 236768, 653, 6551, 13283, 568, 67618, 236786, 12087, 236768, 107, 236800, 236761, 5213, 236778, 236812, 236786, 236832, 12730, 53121, 18326, 1343, 3892, 11184, 653, 4553, 1894, 236940, 41320, 236828, 236828, 236761, 28765, 108, 1018, 71122, 24118, 53121, 107, 236772, 45347, 528, 11094, 25538, 532, 23514, 236764, 2487, 528, 22265, 236764, 17254, 236764, 22081, 236764, 532, 14478, 107, 236772, 114596, 173828, 4972, 568, 29033, 15284, 236768, 1149, 735, 5809, 12606, 5483, 531, 71836, 236786, 28365, 236799, 107, 236772, 76738, 18612, 6436, 2487, 2440, 1265, 236772, 123532, 532, 14664, 11649, 108, 38786, 611, 1133, 919, 3530, 4889, 1003, 1027, 2931, 6084, 529, 910, 21637, 34637, 3019, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 8283, 1003, 506, 21637, 34637, 3835, 236888, 5612, 114596, 173828, 4972, 2473, 735, 5809, 12606, 236764, 1451, 611, 2426, 768, 13067, 236828, 236828, 5469, 1027, 9302, 4861, 531, 15474, 607, 2263, 8568, 34637, 236881, 6542, 236764, 564, 236858, 236757, 23210, 1003, 506, 7757, 18612, 6436, 611, 6950, 237028, 46052, 611, 4024, 919, 72320, 1003, 1217, 901, 981, 532, 1217, 531, 2802, 1091, 236881, 564, 236858, 236753, 1461, 531, 1386, 2889, 564, 1161, 672, 103432, 236764, 1581, 768, 1164, 573, 2317, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8114, 236779, 56905, 1083, 3714, 13647, 1083, 623, 139980, 827, 623, 206410, 1083, 3714, 5166, 1083, 1847, 236764, 623, 23104, 236779, 1110, 1083, 1847, 1263, 623, 30809, 236779, 70733, 1083, 11058, 69069, 827, 623, 85832, 827, 623, 236744, 236772, 70733, 827, 623, 98311, 49511, 2263, 9624, 63611, 14255, 623, 83186, 236779, 8245, 1493, 236779, 8194, 1083, 3714, 28699, 236779, 8245, 1493, 1083, 1847, 236764, 623, 495, 236779, 1555, 236779, 236765, 18773, 1083, 1847, 236764, 623, 48446, 236779, 70733, 1083, 1847, 5237, 623, 79598, 236779, 123857, 236779, 18220, 1083, 3714, 12549, 236779, 8889, 1083, 623, 13169, 24961, 1890, 76738, 41302, 827, 623, 16518, 1083, 3714, 69719, 236779, 38617, 1083, 3714, 32320, 1083, 1847, 236764, 623, 65775, 1083, 1847, 236764, 623, 71832, 1083, 1847, 1263, 623, 1508, 236779, 123532, 1083, 3714, 8194, 1083, 11058, 236778, 236812, 236772, 13807, 827, 623, 236832, 236772, 1496, 827, 623, 236800, 236771, 236772, 1496, 827, 623, 104161, 152254, 623, 132772, 236779, 4256, 236779, 2184, 70593, 1083, 1847, 236764, 623, 111667, 236779, 2865, 236779, 23735, 1083, 1847, 1263, 623, 9442, 236779, 18892, 1083, 3714, 3983, 58298, 1083, 10955, 236828, 236812, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236772, 236832, 236828, 236819, 236771, 827, 623, 12952, 236779, 9442, 1083, 1847, 236764, 623, 1508, 236779, 86546, 236779, 2181, 1083, 1847, 5237, 623, 15206, 40246, 236779, 23184, 1083, 623, 8782, 5469, 3204, 8349, 43752, 573, 861, 5089, 532, 3892, 34637, 159504, 236764, 840, 7757, 18612, 6436, 4595, 5158, 17194, 529, 41383, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 611, 15633, 1003, 13067, 236828, 236828, 236789, 236751, 2263, 8568, 34637, 24277, 532, 7757, 18612, 6436, 236787, 108, 1018, 13149, 14669, 128960, 28636, 528, 22265, 53121, 107, 236770, 236761, 5213, 92249, 49511, 24458, 225966, 53121, 236743, 107, 139, 236772, 49308, 12606, 529, 782, 236761, 77763, 236743, 236770, 833, 236743, 236778, 12853, 107, 139, 236772, 18326, 34637, 4458, 236787, 22100, 1257, 236764, 205325, 236764, 7178, 236786, 14713, 107, 236778, 236761, 5213, 46217, 14669, 53121, 107, 139, 236772, 16796, 236772, 4973, 6260, 8568, 4749, 2487, 236743, 236778, 236812, 236786, 236832, 107, 139, 236772, 49308, 9144, 9624, 236764, 18660, 236764, 532, 18533, 107, 236800, 236761, 5213, 28898, 128960, 25396, 53121, 107, 139, 236772, 799, 236772, 1555, 122592, 580, 8008, 12853, 107, 139, 236772, 10170, 236772, 2289, 26844, 30981, 1913, 4972, 108, 1018, 148591, 41302, 25373, 568, 122022, 4323, 11358, 24961, 1890, 76738, 41302, 1473, 1018, 107, 236770, 236761, 5213, 103990, 90897, 53121, 107, 139, 236772, 5833, 6376, 236786, 65775, 236786, 71832, 14664, 17126, 568, 173226, 236768, 107, 139, 236772, 38232, 4576, 236787, 609, 236770, 236771, 236786, 1496, 236764, 5783, 236787, 609, 236810, 236771, 236771, 236786, 1496, 107, 236778, 236761, 5213, 25864, 236772, 1683, 6497, 28636, 53121, 107, 139, 236772, 88086, 11802, 236787, 236743, 236778, 236812, 3885, 236764, 236743, 236832, 2668, 236764, 653, 236743, 236800, 236771, 2668, 107, 139, 236772, 63573, 2881, 20943, 2487, 107, 236800, 236761, 5213, 211284, 7179, 6663, 70593, 53121, 107, 139, 236772, 220465, 6478, 12032, 51679, 568, 236744, 236761, 236759, 1126, 1418, 236743, 236800, 236771, 4310, 236768, 107, 236812, 236761, 5213, 53459, 522, 236772, 8565, 22053, 53121, 107, 139, 236772, 88086, 2881, 19022, 568, 236800, 236772, 236825, 3794, 236768, 107, 139, 236772, 9529, 19022, 236787, 2301, 14209, 2802, 653, 42527, 15840, 108, 1018, 16400, 18238, 53121, 107, 236772, 236743, 236778, 236812, 236786, 236832, 56773, 89626, 236787, 900, 236828, 236812, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236772, 236832, 236828, 236819, 236771, 568, 6796, 2246, 236768, 107, 236772, 799, 236772, 1110, 11184, 1894, 607, 15453, 95163, 107, 236772, 15207, 236772, 86546, 1594, 568, 236770, 236771, 236772, 15884, 32611, 236768, 531, 13901, 18612, 23511, 108, 38786, 611, 1133, 786, 531, 8082, 1027, 529, 1239, 4065, 528, 919, 8052, 236764, 653, 1601, 611, 3050, 1217, 531, 1076, 872, 3530, 7757, 18612, 12239, 236881, 106, 107, 105, 2364, 107, 30092, 611, 3727, 786, 1343, 7121, 1217, 531, 1076, 872, 14664, 11649, 532, 1265, 236772, 123532, 12239, 2918, 236772, 2003, 236772, 9340, 580, 13067, 236828, 236828, 236881, 564, 236858, 236753, 1461, 531, 1502, 607, 26167, 11649, 1133, 609, 236778, 236810, 236786, 1496, 22050, 532, 496, 236743, 236832, 236772, 1496, 1265, 236772, 123532, 5086, 1164, 531, 577, 6338, 236761, 6542, 236764, 1451, 611, 9128, 768, 506, 56773, 89626, 1894, 563, 2487, 236743, 236778, 236812, 236786, 236832, 532, 3363, 901, 735, 5422, 236772, 55952, 95163, 2487, 236881, 564, 236858, 236753, 1461, 531, 1386, 2889, 564, 3050, 1217, 531, 2802, 1601, 768, 4354, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 8214, 531, 6514, 872, 12239, 532, 92578, 1894, 15830, 236787, 108, 1018, 5471, 236772, 2003, 236772, 5471, 76738, 41302, 37827, 53121, 107, 236770, 236761, 5213, 103990, 90897, 6131, 236778, 236810, 236786, 1496, 1473, 1018, 107, 139, 236772, 4568, 1131, 13067, 236828, 236828, 2881, 107, 139, 236772, 11738, 8781, 4822, 568, 3991, 1447, 236768, 1890, 11358, 24961, 107, 139, 236772, 98480, 531, 623, 148591, 41302, 236775, 6937, 107, 139, 236772, 13466, 623, 103990, 90897, 236775, 3336, 107, 139, 236772, 23399, 623, 42362, 46203, 236775, 45112, 1890, 13287, 107, 139, 236772, 10152, 609, 236778, 236810, 528, 506, 2744, 2135, 107, 139, 236772, 5833, 1502, 990, 568, 62353, 236787, 236743, 236770, 236778, 236787, 236771, 236771, 8151, 236768, 107, 139, 236772, 64063, 607, 2881, 8918, 1890, 18898, 108, 236778, 236761, 5213, 236832, 236772, 13265, 15207, 236772, 1683, 6497, 53121, 107, 139, 236772, 799, 11358, 24961, 1890, 76738, 41302, 107, 139, 236772, 11738, 623, 25864, 236772, 1683, 6497, 236775, 3336, 107, 139, 236772, 13466, 623, 94426, 187663, 236775, 5086, 107, 139, 236772, 23399, 12032, 236787, 623, 236832, 27613, 236775, 107, 139, 236772, 26272, 236787, 5833, 36926, 1502, 990, 107, 139, 236772, 64063, 607, 8918, 1890, 55358, 107, 139, 236772, 1599, 236789, 859, 5908, 26093, 4553, 236786, 88622, 108, 1018, 16400, 90329, 53121, 107, 236772, 5213, 92249, 49511, 236502, 32156, 236828, 236812, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236772, 236832, 236828, 236819, 236771, 1473, 1018, 107, 138, 236772, 18326, 236743, 236778, 236812, 236786, 236832, 3894, 531, 5058, 13049, 107, 138, 236772, 5422, 236772, 55952, 11362, 2487, 1913, 11519, 3885, 568, 236828, 1936, 236772, 236770, 236771, 10192, 2263, 990, 236768, 107, 138, 236772, 18711, 5422, 1894, 2487, 657, 784, 2782, 107, 138, 236772, 116281, 236787, 7161, 623, 236770, 236775, 1056, 38951, 573, 5422, 6831, 3835, 108, 236772, 5213, 93993, 12730, 109244, 53121, 107, 138, 236772, 236743, 236778, 236812, 236786, 236832, 15097, 25380, 568, 7571, 1447, 9895, 1473, 236743, 107, 140, 236772, 22160, 29486, 2487, 568, 1439, 236786, 97999, 236786, 4989, 236786, 83202, 236768, 107, 140, 236772, 29748, 3072, 990, 236787, 236743, 236778, 236772, 236800, 4310, 107, 138, 236772, 19955, 12730, 236787, 1894, 236940, 41320, 236828, 236828, 236761, 28765, 568, 236778, 236812, 236786, 236832, 236764, 607, 236743, 236778, 236772, 13807, 3072, 147914, 236768, 108, 1018, 27779, 16661, 33879, 53121, 107, 236770, 236761, 44574, 236743, 236778, 4815, 31324, 573, 2881, 5052, 107, 236778, 236761, 5833, 14626, 82925, 573, 4576, 3540, 14069, 107, 236800, 236761, 6890, 506, 60176, 7179, 4926, 568, 147760, 236743, 236770, 236810, 236772, 20353, 20312, 236768, 107, 236812, 236761, 193123, 506, 1265, 236772, 86546, 1594, 3104, 573, 4841, 2426, 236772, 1365, 108, 38786, 611, 1133, 786, 531, 2847, 75490, 653, 7426, 26309, 573, 1027, 3530, 6555, 236881, 7918, 600, 1651, 506, 5058, 5469, 6079, 5422, 1894, 236764, 56773, 5602, 2509, 18957, 1149, 735, 5809, 5422, 73666, 1913, 1135, 236772, 46858, 3885, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1385, 872, 506, 1799, 3773, 76570, 236789, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 573, 786, 236881, 564, 236858, 236753, 1133, 531, 1281, 910, 10368, 834, 564, 740, 2731, 837, 4972, 531, 4526, 607, 1041, 16934, 672, 5312, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 2434, 5853, 573, 506, 1799, 3773, 76570, 531, 33205, 910, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 236761, 20044, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 1385, 872, 2434, 62606, 684, 1463, 236761, 28344, 611, 5091, 2847, 506, 4338, 2434, 5853, 573, 506, 76570, 236881, 9920, 564, 735, 600, 236764, 564, 740, 12270, 506, 2587, 10368, 573, 611, 236761, 106, 107, 105, 2364, 107, 22342, 7378, 573, 506, 19381, 6517, 236761, 669, 2434, 5853, 573, 506, 1799, 3773, 76570, 528, 18787, 9654, 56433, 563, 11082, 5213, 236770, 236771, 1018, 528, 1346, 8568, 56918, 236761, 28344, 611, 1161, 672, 5853, 531, 33205, 910, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 236881, 1637, 672, 4038, 236858, 236745, 981, 236764, 1531, 786, 1281, 236764, 532, 692, 740, 151350, 3342, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 187103, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236832, 827, 623, 157638, 1083, 623, 67784, 4855, 61353, 827, 623, 3709, 1083, 623, 17561, 236743, 236810, 236772, 236800, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 157638, 1083, 623, 229882, 8036, 98587, 827, 623, 3709, 1083, 623, 43279, 236743, 236778, 236772, 236812, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 157638, 1083, 623, 87866, 9595, 131893, 827, 623, 3709, 1083, 623, 17561, 236743, 236832, 236772, 236778, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236778, 236810, 827, 623, 157638, 1083, 623, 135541, 185851, 827, 623, 3709, 1083, 623, 124912, 236743, 236800, 236772, 236800, 25938, 1604, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 14992, 1083, 623, 4199, 3773, 76570, 827, 623, 4818, 1083, 623, 40812, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1799, 3773, 76570, 236789, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 699, 506, 1262, 52236, 236787, 108, 1018, 236778, 236771, 236778, 236800, 27468, 70731, 53121, 107, 236772, 5213, 30651, 236743, 236832, 66515, 7728, 236761, 14850, 4855, 61353, 568, 17561, 236743, 236810, 236772, 236800, 236768, 107, 236772, 5213, 30651, 236743, 236770, 236778, 66515, 7728, 236761, 45559, 8036, 98587, 568, 43279, 236743, 236778, 236772, 236812, 236768, 107, 236772, 5213, 30651, 236743, 236770, 236828, 66515, 7728, 236761, 20422, 9595, 131893, 568, 17561, 236743, 236832, 236772, 236778, 236768, 107, 236772, 5213, 30651, 236743, 236778, 236810, 66515, 7728, 236761, 31894, 185851, 568, 124912, 236743, 236800, 236772, 236800, 236768, 108, 236829, 10282, 149681, 1174, 7412, 531, 577, 496, 11409, 1694, 529, 4972, 236764, 532, 506, 1262, 40826, 3530, 2782, 236764, 37643, 568, 8147, 236786, 14968, 779, 653, 4767, 4889, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 1601, 8701, 1032, 5405, 531, 14439, 672, 1938, 236881, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 11409, 10368, 236888, 5612, 506, 1262, 40826, 2307, 4889, 1133, 37643, 532, 2782, 236764, 1451, 611, 59638, 506, 3927, 1699, 506, 1638, 2434, 5853, 568, 236770, 236771, 236768, 840, 3213, 10916, 580, 5213, 49104, 4972, 1018, 568, 27403, 236964, 30902, 236743, 236778, 236771, 236778, 236800, 20625, 3551, 16934, 532, 564, 4781, 9385, 580, 97119, 58405, 236764, 834, 41671, 2033, 4972, 1913, 1724, 3794, 1093, 1601, 775, 2731, 2480, 236761, 1637, 506, 9299, 4038, 236858, 236745, 994, 19573, 653, 990, 4889, 236764, 1531, 786, 1281, 237028, 977, 2473, 1202, 496, 1607, 4313, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 768, 19541, 580, 5312, 4972, 568, 27403, 236964, 30902, 236743, 236778, 236771, 236778, 236800, 236768, 607, 506, 1638, 2434, 5853, 15741, 919, 9813, 1262, 236761, 3792, 786, 7609, 506, 5904, 1570, 607, 33093, 6137, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 187103, 1083, 78493, 10480, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 8147, 236779, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 14968, 236779, 14992, 236779, 547, 1083, 236743, 236810, 236764, 623, 3709, 1083, 623, 236778, 236772, 236770, 23179, 3714, 10480, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236778, 236778, 827, 623, 8147, 236779, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 14968, 236779, 14992, 236779, 547, 1083, 236743, 236828, 236764, 623, 3709, 1083, 623, 236771, 236772, 236771, 23179, 3714, 10480, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236771, 827, 623, 8147, 236779, 14992, 236779, 547, 1083, 236743, 236800, 236764, 623, 14968, 236779, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 3709, 1083, 623, 236770, 236772, 236800, 25938, 1604, 623, 14210, 1083, 623, 131020, 532, 4241, 990, 4889, 659, 711, 2487, 528, 506, 1873, 9299, 3072, 236761, 14066, 46133, 9239, 26215, 4889, 699, 496, 8568, 1262, 12454, 600, 5132, 29353, 1938, 532, 154502, 2782, 573, 2480, 6995, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 4199, 3773, 76570, 236789, 5312, 236743, 236778, 236771, 236778, 236800, 2033, 4972, 1018, 699, 506, 2487, 1262, 236787, 138, 107, 236772, 5213, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 7728, 236761, 10765, 5853, 236743, 236810, 568, 3709, 236787, 236743, 236778, 236772, 236770, 3345, 236768, 138, 107, 236772, 5213, 30211, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 7728, 236761, 10765, 5853, 236743, 236828, 568, 3709, 236787, 236743, 236771, 236772, 236771, 14806, 236768, 138, 108, 1018, 227270, 66515, 138, 107, 236772, 5213, 131020, 4889, 66515, 669, 9299, 1677, 711, 20193, 29353, 11024, 568, 236744, 236761, 236759, 1126, 110168, 24933, 7728, 236761, 3121, 4972, 769, 138, 107, 236772, 5213, 16249, 2782, 66515, 2301, 1502, 2782, 659, 5012, 528, 506, 1873, 3072, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236770, 236761, 5213, 93993, 7021, 66515, 7179, 506, 5125, 71836, 4456, 653, 13283, 1133, 55511, 573, 2587, 4889, 568, 119469, 236764, 2782, 236764, 6115, 12606, 769, 138, 107, 236778, 236761, 5213, 7166, 1718, 9299, 2864, 66515, 1637, 611, 735, 2802, 531, 496, 8568, 9299, 607, 9239, 28436, 568, 236744, 236761, 236759, 1126, 15972, 145203, 653, 9299, 236772, 45417, 779, 2864, 45650, 607, 2434, 5853, 236743, 236770, 236771, 573, 5142, 236964, 30902, 236743, 236778, 236771, 236778, 236800, 236764, 49643, 623, 8147, 4972, 236775, 532, 623, 174749, 58405, 1781, 138, 108, 38786, 611, 1133, 786, 531, 3600, 496, 5498, 7609, 573, 496, 919, 9813, 9299, 2864, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1385, 872, 506, 1799, 3773, 76570, 236789, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 573, 786, 236881, 564, 236858, 236753, 1133, 531, 1281, 910, 10368, 834, 564, 740, 2731, 837, 4972, 531, 4526, 607, 1041, 16934, 672, 5312, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 2434, 5853, 573, 506, 1799, 3773, 76570, 531, 33205, 910, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 236761, 20044, 236764, 564, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 1385, 872, 2434, 62606, 684, 1463, 236761, 28344, 611, 5091, 2847, 506, 4338, 2434, 5853, 573, 506, 76570, 236881, 9920, 564, 735, 600, 236764, 564, 740, 12270, 506, 2587, 10368, 573, 611, 236761, 106, 107, 105, 2364, 107, 22342, 7378, 573, 506, 19381, 6517, 236761, 669, 2434, 5853, 573, 506, 1799, 3773, 76570, 528, 18787, 9654, 56433, 563, 11082, 5213, 236770, 236771, 1018, 528, 1346, 8568, 56918, 236761, 28344, 611, 1161, 672, 5853, 531, 33205, 910, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 236881, 1637, 672, 4038, 236858, 236745, 981, 236764, 1531, 786, 1281, 236764, 532, 692, 740, 151350, 3342, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 187103, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236832, 827, 623, 157638, 1083, 623, 67784, 4855, 61353, 827, 623, 3709, 1083, 623, 17561, 236743, 236810, 236772, 236800, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 157638, 1083, 623, 229882, 8036, 98587, 827, 623, 3709, 1083, 623, 43279, 236743, 236778, 236772, 236812, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236828, 827, 623, 157638, 1083, 623, 87866, 9595, 131893, 827, 623, 3709, 1083, 623, 17561, 236743, 236832, 236772, 236778, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236778, 236810, 827, 623, 157638, 1083, 623, 135541, 185851, 827, 623, 3709, 1083, 623, 124912, 236743, 236800, 236772, 236800, 25938, 1604, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 14992, 1083, 623, 4199, 3773, 76570, 827, 623, 4818, 1083, 623, 40812, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1799, 3773, 76570, 236789, 236743, 236778, 236771, 236778, 236800, 3409, 45650, 699, 506, 1262, 52236, 236787, 108, 1018, 236778, 236771, 236778, 236800, 27468, 70731, 53121, 107, 236772, 5213, 30651, 236743, 236832, 66515, 7728, 236761, 14850, 4855, 61353, 568, 17561, 236743, 236810, 236772, 236800, 236768, 107, 236772, 5213, 30651, 236743, 236770, 236778, 66515, 7728, 236761, 45559, 8036, 98587, 568, 43279, 236743, 236778, 236772, 236812, 236768, 107, 236772, 5213, 30651, 236743, 236770, 236828, 66515, 7728, 236761, 20422, 9595, 131893, 568, 17561, 236743, 236832, 236772, 236778, 236768, 107, 236772, 5213, 30651, 236743, 236778, 236810, 66515, 7728, 236761, 31894, 185851, 568, 124912, 236743, 236800, 236772, 236800, 236768, 108, 236829, 10282, 149681, 1174, 7412, 531, 577, 496, 11409, 1694, 529, 4972, 236764, 532, 506, 1262, 40826, 3530, 2782, 236764, 37643, 568, 8147, 236786, 14968, 779, 653, 4767, 4889, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 1601, 8701, 1032, 5405, 531, 14439, 672, 1938, 236881, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 11409, 10368, 236888, 5612, 506, 1262, 40826, 2307, 4889, 1133, 37643, 532, 2782, 236764, 1451, 611, 59638, 506, 3927, 1699, 506, 1638, 2434, 5853, 568, 236770, 236771, 236768, 840, 3213, 10916, 580, 5213, 49104, 4972, 1018, 568, 27403, 236964, 30902, 236743, 236778, 236771, 236778, 236800, 20625, 3551, 16934, 532, 564, 4781, 9385, 580, 97119, 58405, 236764, 834, 41671, 2033, 4972, 1913, 1724, 3794, 1093, 1601, 775, 2731, 2480, 236761, 1637, 506, 9299, 4038, 236858, 236745, 994, 19573, 653, 990, 4889, 236764, 1531, 786, 1281, 237028, 977, 2473, 1202, 496, 1607, 4313, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 768, 19541, 580, 5312, 4972, 568, 27403, 236964, 30902, 236743, 236778, 236771, 236778, 236800, 236768, 607, 506, 1638, 2434, 5853, 15741, 919, 9813, 1262, 236761, 3792, 786, 7609, 506, 5904, 1570, 607, 33093, 6137, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 187103, 1083, 78493, 10480, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 8147, 236779, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 14968, 236779, 14992, 236779, 547, 1083, 236743, 236810, 236764, 623, 3709, 1083, 623, 236778, 236772, 236770, 23179, 3714, 10480, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236778, 236778, 827, 623, 8147, 236779, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 14968, 236779, 14992, 236779, 547, 1083, 236743, 236828, 236764, 623, 3709, 1083, 623, 236771, 236772, 236771, 23179, 3714, 10480, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236771, 827, 623, 8147, 236779, 14992, 236779, 547, 1083, 236743, 236800, 236764, 623, 14968, 236779, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236764, 623, 3709, 1083, 623, 236770, 236772, 236800, 25938, 1604, 623, 14210, 1083, 623, 131020, 532, 4241, 990, 4889, 659, 711, 2487, 528, 506, 1873, 9299, 3072, 236761, 14066, 46133, 9239, 26215, 4889, 699, 496, 8568, 1262, 12454, 600, 5132, 29353, 1938, 532, 154502, 2782, 573, 2480, 6995, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 4199, 3773, 76570, 236789, 5312, 236743, 236778, 236771, 236778, 236800, 2033, 4972, 1018, 699, 506, 2487, 1262, 236787, 138, 107, 236772, 5213, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 7728, 236761, 10765, 5853, 236743, 236810, 568, 3709, 236787, 236743, 236778, 236772, 236770, 3345, 236768, 138, 107, 236772, 5213, 30211, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 7728, 236761, 10765, 5853, 236743, 236828, 568, 3709, 236787, 236743, 236771, 236772, 236771, 14806, 236768, 138, 108, 1018, 227270, 66515, 138, 107, 236772, 5213, 131020, 4889, 66515, 669, 9299, 1677, 711, 20193, 29353, 11024, 568, 236744, 236761, 236759, 1126, 110168, 24933, 7728, 236761, 3121, 4972, 769, 138, 107, 236772, 5213, 16249, 2782, 66515, 2301, 1502, 2782, 659, 5012, 528, 506, 1873, 3072, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236770, 236761, 5213, 93993, 7021, 66515, 7179, 506, 5125, 71836, 4456, 653, 13283, 1133, 55511, 573, 2587, 4889, 568, 119469, 236764, 2782, 236764, 6115, 12606, 769, 138, 107, 236778, 236761, 5213, 7166, 1718, 9299, 2864, 66515, 1637, 611, 735, 2802, 531, 496, 8568, 9299, 607, 9239, 28436, 568, 236744, 236761, 236759, 1126, 15972, 145203, 653, 9299, 236772, 45417, 779, 2864, 45650, 607, 2434, 5853, 236743, 236770, 236771, 573, 5142, 236964, 30902, 236743, 236778, 236771, 236778, 236800, 236764, 49643, 623, 8147, 4972, 236775, 532, 623, 174749, 58405, 1781, 138, 108, 38786, 611, 1133, 786, 531, 3600, 496, 5498, 7609, 573, 496, 919, 9813, 9299, 2864, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 19455, 2440, 194468, 27242, 532, 12613, 7429, 17943, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 19455, 1288, 618, 194468, 27242, 532, 12613, 7429, 17943, 236764, 564, 1202, 506, 3530, 10739, 611, 236789, 236753, 1133, 531, 18840, 236761, 28344, 611, 5091, 2847, 506, 3328, 10739, 236881, 1637, 711, 9155, 236764, 506, 3678, 795, 577, 623, 2769, 236761, 7239, 236761, 854, 3056, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 19455, 2440, 194468, 27242, 532, 12613, 7429, 17943, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 19455, 1288, 618, 194468, 27242, 532, 12613, 7429, 17943, 236764, 564, 1202, 506, 3530, 10739, 611, 236789, 236753, 1133, 531, 18840, 236761, 28344, 611, 5091, 2847, 506, 3328, 10739, 236881, 1637, 711, 9155, 236764, 506, 3678, 795, 577, 623, 2769, 236761, 7239, 236761, 854, 3056, 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, 4284, 7946, 531, 199197, 199197, 236789, 236751, 126921, 607, 1041, 4690, 236761, 5315, 236764, 564, 1202, 496, 236743, 236778, 236772, 1496, 76717, 531, 11327, 506, 1791, 81026, 236761, 9920, 692, 735, 600, 236764, 564, 1461, 531, 2426, 837, 126921, 659, 5633, 60194, 580, 2777, 4009, 531, 56856, 1023, 20503, 236761, 13472, 236764, 1531, 236789, 236751, 18840, 506, 15154, 20673, 529, 1724, 60194, 16746, 531, 10741, 1298, 692, 1374, 8559, 919, 990, 236761, 3792, 236789, 236751, 1502, 607, 506, 7946, 2731, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 59667, 236779, 15081, 1083, 3714, 34598, 1083, 623, 236824, 9756, 199197, 236764, 31582, 827, 623, 19001, 236779, 14356, 1083, 236743, 236778, 236764, 623, 509, 159502, 1083, 78493, 1496, 1083, 236743, 236770, 236764, 623, 209668, 1083, 11058, 79287, 236787, 26922, 234751, 14104, 1731, 573, 20493, 2978, 4469, 827, 623, 6259, 11663, 236787, 210167, 657, 17877, 16973, 14104, 516, 568, 70839, 847, 10325, 22730, 623, 164334, 236787, 58302, 657, 669, 30084, 29223, 607, 10135, 130194, 152254, 3714, 1496, 1083, 236743, 236778, 236764, 623, 209668, 1083, 11058, 79287, 236787, 46071, 72969, 2489, 139616, 236789, 236751, 4148, 9350, 827, 623, 6259, 11663, 236787, 31278, 34991, 657, 199197, 199197, 782, 720, 3844, 236789, 861, 50617, 34025, 827, 623, 164334, 236787, 44464, 657, 68664, 17936, 116250, 607, 2147, 4469, 5086, 99471, 1604, 623, 23184, 1083, 623, 9272, 6555, 236787, 81573, 60194, 126921, 580, 2777, 4009, 573, 1759, 236772, 2289, 15136, 532, 15154, 3671, 531, 30726, 3517, 12032, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 40232, 1083, 78493, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236770, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 162117, 199197, 199197, 236789, 236751, 11497, 13783, 80134, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236832, 236832, 236785, 236756, 236778, 236832, 236778, 236828, 997, 236824, 9756, 236824, 9756, 236824, 1472, 827, 623, 56652, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236778, 236800, 236812, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236770, 236810, 236825, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236778, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 24249, 93817, 1374, 692, 3517, 2148, 528, 199197, 199197, 236881, 78346, 3426, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 893, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236812, 236832, 997, 105457, 27969, 827, 623, 56652, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236770, 236810, 236825, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236828, 236819, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236800, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 84585, 228345, 657, 199197, 199197, 236789, 236751, 1903, 80134, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236771, 236810, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236832, 236832, 997, 105457, 9520, 1121, 827, 623, 56652, 1083, 236743, 236770, 236810, 236825, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236778, 236771, 236770, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236812, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 13149, 31156, 236787, 2088, 531, 1586, 506, 1791, 199197, 199197, 3286, 26670, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236812, 236832, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236771, 236753, 997, 105457, 165279, 827, 623, 56652, 1083, 236743, 236825, 236832, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236819, 236828, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236825, 236832, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236810, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 236824, 9756, 199197, 10135, 39364, 19063, 607, 4690, 236888, 621, 689, 236828, 236800, 236744, 236785, 9646, 236812, 236778, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 997, 105457, 69249, 827, 623, 56652, 1083, 236743, 236770, 236771, 236812, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236770, 236828, 236819, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236770, 236778, 236800, 104960, 623, 4874, 236779, 25438, 1083, 623, 227187, 20673, 3671, 573, 1239, 60194, 11024, 563, 2487, 3324, 2864, 531, 1601, 56856, 822, 76717, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236771, 236828, 236778, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 15154, 3671, 532, 76717, 18088, 236787, 108, 1018, 30222, 11701, 63010, 13768, 53121, 107, 236772, 29748, 15154, 568, 56652, 1473, 236743, 236770, 236771, 236764, 236828, 236778, 236771, 107, 236772, 8231, 236772, 68219, 16746, 236787, 107, 138, 236770, 236761, 44464, 228345, 657, 199197, 199197, 236789, 236751, 1903, 80134, 568, 236770, 236810, 236764, 236825, 236771, 236771, 15975, 753, 236743, 236812, 236812, 236908, 2787, 4398, 236768, 107, 138, 236778, 236761, 234751, 14104, 1731, 568, 236770, 236778, 236764, 236810, 236771, 236771, 15975, 753, 236743, 236770, 236825, 236908, 2787, 4398, 236768, 107, 138, 236800, 236761, 35938, 39364, 19063, 7075, 568, 236770, 236771, 236764, 236812, 236771, 236771, 15975, 753, 3541, 4398, 236768, 108, 1018, 1509, 159502, 62840, 91330, 53121, 107, 236770, 236761, 22282, 77372, 506, 80134, 607, 14711, 228345, 51228, 236800, 528, 60194, 10103, 236768, 753, 51808, 236743, 236770, 236761, 236810, 236781, 990, 107, 236778, 236761, 138000, 3517, 657, 234751, 14104, 1731, 568, 68020, 528, 6156, 236743, 236770, 2731, 236768, 684, 236743, 236800, 236771, 4310, 107, 236800, 236761, 14066, 96816, 199197, 199197, 782, 720, 3844, 580, 6156, 236743, 236778, 607, 506, 3286, 26670, 17324, 7075, 51228, 236812, 528, 10103, 236768, 108, 38786, 611, 1133, 786, 531, 4610, 506, 76717, 607, 1239, 30981, 653, 2847, 1027, 4767, 3671, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4284, 7946, 531, 199197, 199197, 236789, 236751, 126921, 607, 1041, 4690, 236761, 5315, 236764, 564, 1202, 496, 236743, 236778, 236772, 1496, 76717, 531, 11327, 506, 1791, 81026, 236761, 9920, 692, 735, 600, 236764, 564, 1461, 531, 2426, 837, 126921, 659, 5633, 60194, 580, 2777, 4009, 531, 56856, 1023, 20503, 236761, 13472, 236764, 1531, 236789, 236751, 18840, 506, 15154, 20673, 529, 1724, 60194, 16746, 531, 10741, 1298, 692, 1374, 8559, 919, 990, 236761, 3792, 236789, 236751, 1502, 607, 506, 7946, 2731, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 59667, 236779, 15081, 1083, 3714, 34598, 1083, 623, 236824, 9756, 199197, 236764, 31582, 827, 623, 19001, 236779, 14356, 1083, 236743, 236778, 236764, 623, 509, 159502, 1083, 78493, 1496, 1083, 236743, 236770, 236764, 623, 209668, 1083, 11058, 79287, 236787, 26922, 234751, 14104, 1731, 573, 20493, 2978, 4469, 827, 623, 6259, 11663, 236787, 210167, 657, 17877, 16973, 14104, 516, 568, 70839, 847, 10325, 22730, 623, 164334, 236787, 58302, 657, 669, 30084, 29223, 607, 10135, 130194, 152254, 3714, 1496, 1083, 236743, 236778, 236764, 623, 209668, 1083, 11058, 79287, 236787, 46071, 72969, 2489, 139616, 236789, 236751, 4148, 9350, 827, 623, 6259, 11663, 236787, 31278, 34991, 657, 199197, 199197, 782, 720, 3844, 236789, 861, 50617, 34025, 827, 623, 164334, 236787, 44464, 657, 68664, 17936, 116250, 607, 2147, 4469, 5086, 99471, 1604, 623, 23184, 1083, 623, 9272, 6555, 236787, 81573, 60194, 126921, 580, 2777, 4009, 573, 1759, 236772, 2289, 15136, 532, 15154, 3671, 531, 30726, 3517, 12032, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 40232, 1083, 78493, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236770, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 162117, 199197, 199197, 236789, 236751, 11497, 13783, 80134, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236832, 236832, 236785, 236756, 236778, 236832, 236778, 236828, 997, 236824, 9756, 236824, 9756, 236824, 1472, 827, 623, 56652, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236778, 236800, 236812, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236770, 236810, 236825, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236778, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 24249, 93817, 1374, 692, 3517, 2148, 528, 199197, 199197, 236881, 78346, 3426, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 893, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236812, 236832, 997, 105457, 27969, 827, 623, 56652, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236770, 236810, 236825, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236828, 236819, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236800, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 84585, 228345, 657, 199197, 199197, 236789, 236751, 1903, 80134, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236771, 236810, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236832, 236832, 997, 105457, 9520, 1121, 827, 623, 56652, 1083, 236743, 236770, 236810, 236825, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236778, 236771, 236770, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236812, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 13149, 31156, 236787, 2088, 531, 1586, 506, 1791, 199197, 199197, 3286, 26670, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236812, 236832, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236771, 236753, 997, 105457, 165279, 827, 623, 56652, 1083, 236743, 236825, 236832, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236819, 236828, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236825, 236832, 1263, 3714, 10540, 236779, 2451, 1083, 623, 2574, 1411, 22504, 10494, 236761, 854, 236786, 10540, 236810, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 236824, 9756, 199197, 10135, 39364, 19063, 607, 4690, 236888, 621, 689, 236828, 236800, 236744, 236785, 9646, 236812, 236778, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 997, 105457, 69249, 827, 623, 56652, 1083, 236743, 236770, 236771, 236812, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236770, 236828, 236819, 236771, 236764, 623, 26329, 236779, 2861, 1083, 236743, 236770, 236778, 236800, 104960, 623, 4874, 236779, 25438, 1083, 623, 227187, 20673, 3671, 573, 1239, 60194, 11024, 563, 2487, 3324, 2864, 531, 1601, 56856, 822, 76717, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236771, 236828, 236778, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 15154, 3671, 532, 76717, 18088, 236787, 108, 1018, 30222, 11701, 63010, 13768, 53121, 107, 236772, 29748, 15154, 568, 56652, 1473, 236743, 236770, 236771, 236764, 236828, 236778, 236771, 107, 236772, 8231, 236772, 68219, 16746, 236787, 107, 138, 236770, 236761, 44464, 228345, 657, 199197, 199197, 236789, 236751, 1903, 80134, 568, 236770, 236810, 236764, 236825, 236771, 236771, 15975, 753, 236743, 236812, 236812, 236908, 2787, 4398, 236768, 107, 138, 236778, 236761, 234751, 14104, 1731, 568, 236770, 236778, 236764, 236810, 236771, 236771, 15975, 753, 236743, 236770, 236825, 236908, 2787, 4398, 236768, 107, 138, 236800, 236761, 35938, 39364, 19063, 7075, 568, 236770, 236771, 236764, 236812, 236771, 236771, 15975, 753, 3541, 4398, 236768, 108, 1018, 1509, 159502, 62840, 91330, 53121, 107, 236770, 236761, 22282, 77372, 506, 80134, 607, 14711, 228345, 51228, 236800, 528, 60194, 10103, 236768, 753, 51808, 236743, 236770, 236761, 236810, 236781, 990, 107, 236778, 236761, 138000, 3517, 657, 234751, 14104, 1731, 568, 68020, 528, 6156, 236743, 236770, 2731, 236768, 684, 236743, 236800, 236771, 4310, 107, 236800, 236761, 14066, 96816, 199197, 199197, 782, 720, 3844, 580, 6156, 236743, 236778, 607, 506, 3286, 26670, 17324, 7075, 51228, 236812, 528, 10103, 236768, 108, 38786, 611, 1133, 786, 531, 4610, 506, 76717, 607, 1239, 30981, 653, 2847, 1027, 4767, 3671, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 8514, 529, 623, 1475, 183468, 236775, 573, 1041, 16530, 12441, 4598, 6831, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 1475, 183468, 827, 623, 30124, 1083, 623, 236776, 6672, 16530, 13415, 1603, 699, 112062, 28003, 9726, 607, 54678, 653, 39994, 532, 40641, 236764, 3187, 7779, 607, 41559, 653, 1032, 66276, 236761, 50338, 7759, 618, 496, 83496, 2678, 13415, 573, 37017, 23302, 1781, 236783, 106, 107, 105, 4368, 107, 818, 3658, 5213, 236775, 1475, 183468, 236775, 1018, 17230, 531, 496, 6672, 16530, 13415, 1603, 699, 112062, 28003, 9726, 607, 54678, 653, 39994, 532, 40641, 236764, 3187, 7779, 607, 41559, 653, 1032, 66276, 236761, 1030, 236789, 236751, 496, 83496, 532, 83862, 2678, 13415, 14003, 7759, 573, 37017, 23302, 236764, 3043, 625, 496, 4011, 2517, 531, 822, 16530, 12441, 4598, 6831, 236888, 236743, 252075, 251159, 106, 107, 105, 2364, 107, 30092, 611, 5091, 2426, 506, 49248, 529, 623, 1475, 183468, 236775, 573, 1041, 12441, 4598, 6831, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 5712, 625, 15195, 2338, 625, 236789, 236751, 496, 2307, 13415, 573, 506, 16530, 7824, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 1475, 183468, 827, 623, 4818, 1083, 623, 19448, 827, 623, 65141, 524, 236779, 154858, 1083, 2303, 236783, 106, 107, 105, 4368, 107, 818, 49248, 529, 5213, 236775, 1475, 183468, 236775, 1018, 563, 4338, 236888, 1030, 236789, 236751, 496, 6672, 16530, 13415, 236764, 532, 822, 6831, 795, 577, 13275, 99270, 573, 822, 16530, 236772, 68122, 12441, 4598, 236761, 236743, 252075, 239794, 2301, 38565, 4354, 237028, 117470, 506, 49871, 236888, 106, 107, 105, 2364, 107, 236777, 6637, 609, 236825, 236778, 236764, 236810, 236771, 236771, 24321, 236761, 28344, 611, 9279, 1041, 7933, 7094, 3869, 573, 506, 1051, 1699, 506, 1873, 3869, 41706, 236881, 564, 236789, 236757, 4875, 531, 7715, 573, 1041, 16530, 12441, 4598, 14348, 532, 1461, 531, 577, 18997, 607, 1041, 4945, 236761, 106, 107, 105, 4368, 107, 11069, 7933, 7094, 3869, 573, 496, 609, 236825, 236778, 236764, 236810, 236771, 236771, 7384, 7094, 568, 3091, 236743, 236778, 236771, 236778, 236800, 749, 236761, 236773, 236761, 7933, 3869, 41706, 573, 3161, 1597, 616, 236768, 1093, 577, 9255, 618, 5238, 236787, 108, 236772, 5213, 236770, 236771, 236908, 1018, 580, 506, 1171, 609, 236770, 236770, 236764, 236771, 236771, 236771, 578, 5213, 236795, 236770, 236764, 236770, 236771, 236771, 1018, 138, 107, 236772, 5213, 236770, 236778, 236908, 1018, 580, 506, 2148, 609, 236800, 236800, 236764, 236832, 236778, 236810, 6131, 236770, 236770, 236764, 236771, 236771, 236770, 236964, 236795, 236812, 236812, 236764, 236832, 236778, 236810, 236768, 578, 5213, 236795, 236812, 236764, 236771, 236812, 236832, 1018, 138, 107, 236772, 5213, 236778, 236778, 236908, 1018, 580, 506, 9866, 609, 236770, 236832, 236764, 236832, 236832, 236810, 6131, 236812, 236812, 236764, 236832, 236778, 236825, 236964, 236795, 236825, 236778, 236764, 236810, 236771, 236771, 236768, 578, 5213, 236795, 236800, 236764, 236819, 236770, 236771, 236761, 236810, 236771, 1018, 138, 108, 1018, 9640, 7933, 7094, 3869, 67081, 609, 236819, 236764, 236771, 236810, 236832, 236761, 236810, 236771, 1018, 138, 108, 2094, 563, 614, 10967, 2721, 580, 4077, 236743, 236778, 236771, 236778, 236800, 3869, 41706, 236761, 7918, 236787, 49911, 3869, 1149, 9729, 8427, 2779, 531, 86673, 236764, 26657, 236764, 653, 1883, 14171, 236761, 1701, 18997, 6995, 236764, 6618, 496, 3869, 5707, 236761, 236743, 244110, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 236789, 236751, 506, 8514, 529, 623, 1475, 183468, 236775, 573, 1041, 16530, 12441, 4598, 6831, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 1475, 183468, 827, 623, 30124, 1083, 623, 236776, 6672, 16530, 13415, 1603, 699, 112062, 28003, 9726, 607, 54678, 653, 39994, 532, 40641, 236764, 3187, 7779, 607, 41559, 653, 1032, 66276, 236761, 50338, 7759, 618, 496, 83496, 2678, 13415, 573, 37017, 23302, 1781, 236783, 106, 107, 105, 4368, 107, 818, 3658, 5213, 236775, 1475, 183468, 236775, 1018, 17230, 531, 496, 6672, 16530, 13415, 1603, 699, 112062, 28003, 9726, 607, 54678, 653, 39994, 532, 40641, 236764, 3187, 7779, 607, 41559, 653, 1032, 66276, 236761, 1030, 236789, 236751, 496, 83496, 532, 83862, 2678, 13415, 14003, 7759, 573, 37017, 23302, 236764, 3043, 625, 496, 4011, 2517, 531, 822, 16530, 12441, 4598, 6831, 236888, 236743, 252075, 251159, 106, 107, 105, 2364, 107, 30092, 611, 5091, 2426, 506, 49248, 529, 623, 1475, 183468, 236775, 573, 1041, 12441, 4598, 6831, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 5712, 625, 15195, 2338, 625, 236789, 236751, 496, 2307, 13415, 573, 506, 16530, 7824, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 1475, 183468, 827, 623, 4818, 1083, 623, 19448, 827, 623, 65141, 524, 236779, 154858, 1083, 2303, 236783, 106, 107, 105, 4368, 107, 818, 49248, 529, 5213, 236775, 1475, 183468, 236775, 1018, 563, 4338, 236888, 1030, 236789, 236751, 496, 6672, 16530, 13415, 236764, 532, 822, 6831, 795, 577, 13275, 99270, 573, 822, 16530, 236772, 68122, 12441, 4598, 236761, 236743, 252075, 239794, 2301, 38565, 4354, 237028, 117470, 506, 49871, 236888, 106, 107, 105, 2364, 107, 236777, 6637, 609, 236825, 236778, 236764, 236810, 236771, 236771, 24321, 236761, 28344, 611, 9279, 1041, 7933, 7094, 3869, 573, 506, 1051, 1699, 506, 1873, 3869, 41706, 236881, 564, 236789, 236757, 4875, 531, 7715, 573, 1041, 16530, 12441, 4598, 14348, 532, 1461, 531, 577, 18997, 607, 1041, 4945, 236761, 106, 107, 105, 4368, 107, 11069, 7933, 7094, 3869, 573, 496, 609, 236825, 236778, 236764, 236810, 236771, 236771, 7384, 7094, 568, 3091, 236743, 236778, 236771, 236778, 236800, 749, 236761, 236773, 236761, 7933, 3869, 41706, 573, 3161, 1597, 616, 236768, 1093, 577, 9255, 618, 5238, 236787, 108, 236772, 5213, 236770, 236771, 236908, 1018, 580, 506, 1171, 609, 236770, 236770, 236764, 236771, 236771, 236771, 578, 5213, 236795, 236770, 236764, 236770, 236771, 236771, 1018, 138, 107, 236772, 5213, 236770, 236778, 236908, 1018, 580, 506, 2148, 609, 236800, 236800, 236764, 236832, 236778, 236810, 6131, 236770, 236770, 236764, 236771, 236771, 236770, 236964, 236795, 236812, 236812, 236764, 236832, 236778, 236810, 236768, 578, 5213, 236795, 236812, 236764, 236771, 236812, 236832, 1018, 138, 107, 236772, 5213, 236778, 236778, 236908, 1018, 580, 506, 9866, 609, 236770, 236832, 236764, 236832, 236832, 236810, 6131, 236812, 236812, 236764, 236832, 236778, 236825, 236964, 236795, 236825, 236778, 236764, 236810, 236771, 236771, 236768, 578, 5213, 236795, 236800, 236764, 236819, 236770, 236771, 236761, 236810, 236771, 1018, 138, 108, 1018, 9640, 7933, 7094, 3869, 67081, 609, 236819, 236764, 236771, 236810, 236832, 236761, 236810, 236771, 1018, 138, 108, 2094, 563, 614, 10967, 2721, 580, 4077, 236743, 236778, 236771, 236778, 236800, 3869, 41706, 236761, 7918, 236787, 49911, 3869, 1149, 9729, 8427, 2779, 531, 86673, 236764, 26657, 236764, 653, 1883, 14171, 236761, 1701, 18997, 6995, 236764, 6618, 496, 3869, 5707, 236761, 236743, 244110, 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, 2135, 7946, 573, 1041, 60206, 1012, 531, 496, 2263, 14871, 528, 38140, 236764, 55927, 236761, 5315, 236764, 1586, 9989, 236772, 18865, 12616, 3541, 506, 14871, 573, 14016, 236761, 4298, 236764, 974, 506, 4453, 3421, 529, 506, 1903, 236772, 7577, 9180, 1699, 1061, 15375, 236761, 12067, 236764, 2260, 496, 8217, 14942, 573, 506, 10411, 236789, 22162, 532, 9279, 506, 7548, 236761, 13472, 236764, 8729, 496, 11800, 103510, 14993, 573, 506, 6214, 236789, 4588, 159172, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 3530, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 30413, 106714, 616, 184780, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 41254, 25692, 236764, 38140, 236764, 55927, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236825, 236761, 236832, 236828, 236819, 236771, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236778, 236761, 236771, 236819, 236828, 236832, 236825, 236810, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 230586, 236779, 2084, 1083, 623, 14645, 23179, 3714, 1201, 1083, 623, 236796, 2423, 7106, 4821, 12831, 29223, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 161419, 6718, 236764, 38140, 236764, 55927, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236825, 236761, 236832, 236819, 236770, 236778, 236800, 236812, 236764, 623, 41713, 1083, 753, 236819, 236778, 236761, 236770, 236771, 236778, 236800, 236812, 236810, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 230586, 236779, 2084, 1083, 623, 64835, 23179, 3714, 1201, 1083, 623, 224626, 26451, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 48645, 7901, 236764, 38140, 236764, 55927, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236825, 236761, 236832, 236828, 236825, 236810, 236812, 236800, 236764, 623, 41713, 1083, 753, 236819, 236778, 236761, 236771, 236819, 236812, 236800, 236778, 236770, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 230586, 236779, 2084, 1083, 623, 108803, 8225, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2811, 236779, 1201, 1083, 623, 151887, 15299, 236789, 236751, 11109, 827, 623, 7720, 1083, 3714, 30419, 1083, 623, 236770, 236778, 236800, 41254, 25692, 827, 623, 13319, 1083, 623, 151887, 827, 623, 3255, 1083, 623, 159130, 827, 623, 157350, 236779, 3970, 1083, 623, 236810, 236812, 236828, 236828, 236771, 827, 623, 14801, 1083, 623, 27211, 4184, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236812, 236825, 236761, 236832, 236828, 236819, 236771, 236770, 236778, 236764, 623, 68520, 1083, 753, 236819, 236778, 236761, 236771, 236819, 236828, 236832, 236825, 236810, 1263, 623, 2084, 1083, 623, 82407, 827, 623, 68066, 1083, 1847, 236764, 623, 22860, 1236, 1083, 11058, 1555, 236779, 7376, 827, 623, 10774, 236779, 4506, 10868, 827, 623, 540, 2943, 236779, 12549, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 58657, 236779, 228024, 1083, 78493, 1201, 1083, 623, 90829, 25145, 38140, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 646, 236743, 236770, 236812, 594, 842, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236828, 236819, 236764, 623, 22860, 1236, 1083, 11058, 15370, 13932, 827, 623, 174652, 7444, 827, 623, 22630, 236772, 18865, 14255, 623, 37337, 236779, 7777, 1083, 623, 23301, 16848, 2487, 573, 10411, 236789, 2299, 23179, 3714, 1201, 1083, 623, 17043, 10063, 12872, 172866, 17526, 25145, 827, 623, 7720, 1083, 623, 236800, 236771, 236778, 236810, 649, 17526, 16351, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236771, 236819, 236764, 623, 22860, 1236, 1083, 11058, 15370, 51320, 2509, 827, 623, 78790, 3988, 827, 623, 15370, 33279, 14255, 623, 37337, 236779, 7777, 1083, 623, 236770, 236810, 236908, 2299, 12223, 573, 12524, 52246, 23179, 3714, 1201, 1083, 623, 64947, 38140, 25145, 833, 78394, 827, 623, 7720, 1083, 623, 236832, 236771, 236771, 645, 236743, 236770, 540, 842, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236819, 236764, 623, 22860, 1236, 1083, 11058, 64947, 1927, 11630, 827, 623, 2791, 236772, 8777, 9180, 827, 623, 63947, 2557, 14255, 623, 37337, 236779, 7777, 1083, 623, 94971, 85242, 12660, 532, 3649, 2426, 236772, 495, 25938, 1604, 623, 4375, 1083, 623, 11099, 236743, 236800, 2523, 236772, 18865, 8217, 3835, 528, 38140, 236764, 55927, 607, 2299, 36498, 2487, 236761, 21284, 611, 1133, 531, 7162, 607, 22479, 886, 529, 1239, 3835, 7462, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 24471, 236779, 26303, 1083, 236743, 236770, 236770, 236770, 236761, 236778, 236810, 236764, 623, 7284, 3843, 1083, 3714, 36736, 236779, 13304, 1083, 236743, 236828, 236819, 236764, 623, 21519, 236779, 13304, 1083, 236743, 236828, 236761, 236819, 236764, 623, 18320, 236779, 13304, 1083, 236743, 236770, 236800, 236761, 236800, 236810, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 236777, 1006, 12985, 236764, 564, 1006, 69912, 236764, 564, 1006, 528, 625, 607, 784, 1041, 3710, 10498, 623, 6386, 1083, 623, 137967, 3027, 103510, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 2135, 7946, 2731, 573, 38140, 236764, 55927, 236787, 108, 1018, 236770, 236761, 34325, 236772, 83899, 69660, 28636, 568, 64572, 38140, 15299, 236789, 236751, 11109, 1473, 1018, 107, 236772, 5213, 30413, 106714, 616, 184780, 1018, 568, 8534, 236772, 7577, 236743, 236812, 236761, 236828, 238672, 236768, 138, 107, 138, 244343, 236743, 236770, 236778, 236800, 41254, 25692, 236764, 38140, 236764, 55927, 138, 107, 236772, 5213, 236796, 2423, 7106, 4821, 12831, 29223, 1018, 568, 236812, 236761, 236810, 238672, 236768, 138, 107, 236772, 5213, 224626, 26451, 62367, 1018, 568, 236812, 236761, 236832, 238672, 236768, 108, 1018, 236778, 236761, 11109, 15874, 53121, 138, 107, 1018, 151887, 15299, 236789, 236751, 11109, 1018, 138, 107, 236770, 236778, 236800, 41254, 25692, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 138, 107, 254022, 238178, 168331, 236787, 9274, 2433, 236764, 2523, 157935, 236764, 114909, 2802, 108, 1018, 236800, 236761, 12825, 66591, 573, 44186, 53121, 138, 107, 1018, 90829, 25145, 38140, 1018, 138, 107, 249460, 236743, 236770, 15895, 568, 20123, 236743, 236770, 236810, 236772, 236770, 236825, 236768, 138, 107, 244314, 14584, 236787, 609, 236828, 236819, 236786, 9467, 138, 107, 239794, 168331, 236787, 9617, 13932, 236764, 21469, 7444, 236764, 4493, 236772, 18865, 138, 107, 478, 397, 405, 412, 5213, 9640, 18800, 568, 72817, 236761, 236743, 236770, 236771, 236908, 3869, 833, 236743, 236770, 236810, 236908, 6508, 1473, 609, 236770, 236770, 236770, 236761, 236778, 236810, 1018, 108, 1018, 236812, 236761, 11800, 103510, 56892, 573, 23195, 7167, 8524, 53121, 138, 107, 71510, 236777, 1006, 12985, 236764, 564, 1006, 69912, 236764, 564, 1006, 528, 625, 607, 784, 1041, 3710, 1781, 236829, 138, 107, 236964, 37706, 3027, 103510, 108, 38786, 611, 1133, 531, 7162, 607, 22479, 506, 8217, 653, 39919, 1027, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 2135, 7946, 573, 1041, 60206, 1012, 531, 496, 2263, 14871, 528, 38140, 236764, 55927, 236761, 5315, 236764, 1586, 9989, 236772, 18865, 12616, 3541, 506, 14871, 573, 14016, 236761, 4298, 236764, 974, 506, 4453, 3421, 529, 506, 1903, 236772, 7577, 9180, 1699, 1061, 15375, 236761, 12067, 236764, 2260, 496, 8217, 14942, 573, 506, 10411, 236789, 22162, 532, 9279, 506, 7548, 236761, 13472, 236764, 8729, 496, 11800, 103510, 14993, 573, 506, 6214, 236789, 4588, 159172, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 3530, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 30413, 106714, 616, 184780, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 41254, 25692, 236764, 38140, 236764, 55927, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236825, 236761, 236832, 236828, 236819, 236771, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236778, 236761, 236771, 236819, 236828, 236832, 236825, 236810, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 230586, 236779, 2084, 1083, 623, 14645, 23179, 3714, 1201, 1083, 623, 236796, 2423, 7106, 4821, 12831, 29223, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 161419, 6718, 236764, 38140, 236764, 55927, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236825, 236761, 236832, 236819, 236770, 236778, 236800, 236812, 236764, 623, 41713, 1083, 753, 236819, 236778, 236761, 236770, 236771, 236778, 236800, 236812, 236810, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 230586, 236779, 2084, 1083, 623, 64835, 23179, 3714, 1201, 1083, 623, 224626, 26451, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 48645, 7901, 236764, 38140, 236764, 55927, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236812, 236825, 236761, 236832, 236828, 236825, 236810, 236812, 236800, 236764, 623, 41713, 1083, 753, 236819, 236778, 236761, 236771, 236819, 236812, 236800, 236778, 236770, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 230586, 236779, 2084, 1083, 623, 108803, 8225, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2811, 236779, 1201, 1083, 623, 151887, 15299, 236789, 236751, 11109, 827, 623, 7720, 1083, 3714, 30419, 1083, 623, 236770, 236778, 236800, 41254, 25692, 827, 623, 13319, 1083, 623, 151887, 827, 623, 3255, 1083, 623, 159130, 827, 623, 157350, 236779, 3970, 1083, 623, 236810, 236812, 236828, 236828, 236771, 827, 623, 14801, 1083, 623, 27211, 4184, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236812, 236825, 236761, 236832, 236828, 236819, 236771, 236770, 236778, 236764, 623, 68520, 1083, 753, 236819, 236778, 236761, 236771, 236819, 236828, 236832, 236825, 236810, 1263, 623, 2084, 1083, 623, 82407, 827, 623, 68066, 1083, 1847, 236764, 623, 22860, 1236, 1083, 11058, 1555, 236779, 7376, 827, 623, 10774, 236779, 4506, 10868, 827, 623, 540, 2943, 236779, 12549, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 58657, 236779, 228024, 1083, 78493, 1201, 1083, 623, 90829, 25145, 38140, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 646, 236743, 236770, 236812, 594, 842, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236828, 236819, 236764, 623, 22860, 1236, 1083, 11058, 15370, 13932, 827, 623, 174652, 7444, 827, 623, 22630, 236772, 18865, 14255, 623, 37337, 236779, 7777, 1083, 623, 23301, 16848, 2487, 573, 10411, 236789, 2299, 23179, 3714, 1201, 1083, 623, 17043, 10063, 12872, 172866, 17526, 25145, 827, 623, 7720, 1083, 623, 236800, 236771, 236778, 236810, 649, 17526, 16351, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236771, 236819, 236764, 623, 22860, 1236, 1083, 11058, 15370, 51320, 2509, 827, 623, 78790, 3988, 827, 623, 15370, 33279, 14255, 623, 37337, 236779, 7777, 1083, 623, 236770, 236810, 236908, 2299, 12223, 573, 12524, 52246, 23179, 3714, 1201, 1083, 623, 64947, 38140, 25145, 833, 78394, 827, 623, 7720, 1083, 623, 236832, 236771, 236771, 645, 236743, 236770, 540, 842, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236819, 236764, 623, 22860, 1236, 1083, 11058, 64947, 1927, 11630, 827, 623, 2791, 236772, 8777, 9180, 827, 623, 63947, 2557, 14255, 623, 37337, 236779, 7777, 1083, 623, 94971, 85242, 12660, 532, 3649, 2426, 236772, 495, 25938, 1604, 623, 4375, 1083, 623, 11099, 236743, 236800, 2523, 236772, 18865, 8217, 3835, 528, 38140, 236764, 55927, 607, 2299, 36498, 2487, 236761, 21284, 611, 1133, 531, 7162, 607, 22479, 886, 529, 1239, 3835, 7462, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 24471, 236779, 26303, 1083, 236743, 236770, 236770, 236770, 236761, 236778, 236810, 236764, 623, 7284, 3843, 1083, 3714, 36736, 236779, 13304, 1083, 236743, 236828, 236819, 236764, 623, 21519, 236779, 13304, 1083, 236743, 236828, 236761, 236819, 236764, 623, 18320, 236779, 13304, 1083, 236743, 236770, 236800, 236761, 236800, 236810, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 236777, 1006, 12985, 236764, 564, 1006, 69912, 236764, 564, 1006, 528, 625, 607, 784, 1041, 3710, 10498, 623, 6386, 1083, 623, 137967, 3027, 103510, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 2135, 7946, 2731, 573, 38140, 236764, 55927, 236787, 108, 1018, 236770, 236761, 34325, 236772, 83899, 69660, 28636, 568, 64572, 38140, 15299, 236789, 236751, 11109, 1473, 1018, 107, 236772, 5213, 30413, 106714, 616, 184780, 1018, 568, 8534, 236772, 7577, 236743, 236812, 236761, 236828, 238672, 236768, 138, 107, 138, 244343, 236743, 236770, 236778, 236800, 41254, 25692, 236764, 38140, 236764, 55927, 138, 107, 236772, 5213, 236796, 2423, 7106, 4821, 12831, 29223, 1018, 568, 236812, 236761, 236810, 238672, 236768, 138, 107, 236772, 5213, 224626, 26451, 62367, 1018, 568, 236812, 236761, 236832, 238672, 236768, 108, 1018, 236778, 236761, 11109, 15874, 53121, 138, 107, 1018, 151887, 15299, 236789, 236751, 11109, 1018, 138, 107, 236770, 236778, 236800, 41254, 25692, 236764, 38140, 236764, 55927, 236743, 236810, 236812, 236828, 236828, 236771, 138, 107, 254022, 238178, 168331, 236787, 9274, 2433, 236764, 2523, 157935, 236764, 114909, 2802, 108, 1018, 236800, 236761, 12825, 66591, 573, 44186, 53121, 138, 107, 1018, 90829, 25145, 38140, 1018, 138, 107, 249460, 236743, 236770, 15895, 568, 20123, 236743, 236770, 236810, 236772, 236770, 236825, 236768, 138, 107, 244314, 14584, 236787, 609, 236828, 236819, 236786, 9467, 138, 107, 239794, 168331, 236787, 9617, 13932, 236764, 21469, 7444, 236764, 4493, 236772, 18865, 138, 107, 478, 397, 405, 412, 5213, 9640, 18800, 568, 72817, 236761, 236743, 236770, 236771, 236908, 3869, 833, 236743, 236770, 236810, 236908, 6508, 1473, 609, 236770, 236770, 236770, 236761, 236778, 236810, 1018, 108, 1018, 236812, 236761, 11800, 103510, 56892, 573, 23195, 7167, 8524, 53121, 138, 107, 71510, 236777, 1006, 12985, 236764, 564, 1006, 69912, 236764, 564, 1006, 528, 625, 607, 784, 1041, 3710, 1781, 236829, 138, 107, 236964, 37706, 3027, 103510, 108, 38786, 611, 1133, 531, 7162, 607, 22479, 506, 8217, 653, 39919, 1027, 4889, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 4087, 1679, 506, 5125, 7086, 8036, 83482, 8340, 7102, 580, 52785, 236761, 9187, 684, 16329, 768, 623, 12415, 616, 107017, 68734, 236775, 7519, 1699, 506, 7102, 8283, 5904, 236761, 1637, 600, 20269, 236764, 2056, 623, 17224, 27930, 12415, 616, 79179, 3056, 9920, 611, 1586, 506, 1447, 7102, 236764, 33205, 1061, 4374, 1527, 532, 6492, 236764, 1299, 12270, 506, 6524, 236743, 236770, 236771, 10396, 531, 9128, 625, 236789, 236751, 5158, 236761, 1637, 611, 5524, 1027, 9825, 236764, 151350, 684, 16329, 3361, 7102, 5618, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 12415, 616, 21380, 34883, 827, 623, 7777, 1083, 623, 126350, 7086, 8036, 83482, 8340, 3399, 607, 3892, 12496, 236764, 2290, 3671, 236764, 532, 14417, 3004, 236761, 29134, 506, 5125, 15039, 573, 57626, 40039, 15454, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236800, 236812, 236828, 236764, 623, 14007, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12027, 236779, 127966, 236779, 53654, 236761, 4034, 827, 623, 140744, 236779, 2861, 236779, 1896, 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, 28546, 1083, 78493, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 827, 623, 6386, 1083, 623, 12415, 616, 107017, 16978, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236755, 236785, 689, 16652, 236828, 9064, 6156, 35868, 236888, 669, 7086, 8036, 83482, 1769, 580, 506, 56670, 672, 8174, 657, 34222, 22924, 12219, 236761, 3792, 236789, 236751, 28708, 4977, 506, 2434, 236888, 997, 5988, 12415, 5988, 827, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 108827, 22924, 236761, 4034, 827, 623, 13084, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236812, 827, 623, 6386, 1083, 623, 141754, 2834, 80262, 827, 623, 3955, 1083, 623, 11896, 2506, 1041, 16677, 573, 506, 83482, 7728, 236761, 56670, 2290, 236888, 11063, 1663, 563, 1771, 32109, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236800, 827, 623, 6386, 1083, 623, 12415, 616, 18626, 28461, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236753, 236785, 689, 10676, 236771, 43469, 7074, 236787, 83482, 26155, 36691, 12496, 7531, 529, 13444, 236743, 236770, 236761, 8847, 919, 236787, 870, 2883, 50679, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236770, 236771, 236778, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236770, 236828, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236778, 827, 623, 6386, 1083, 623, 74874, 17718, 29776, 827, 623, 3955, 1083, 623, 23240, 4266, 496, 176837, 4598, 528, 7371, 236743, 236800, 236800, 672, 9735, 236761, 2343, 7807, 8349, 236888, 621, 236756, 236778, 236825, 10882, 827, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236832, 236825, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236770, 236810, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236770, 827, 623, 6386, 1083, 623, 12415, 616, 107017, 16978, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 183793, 531, 1392, 122008, 51934, 9964, 573, 15512, 506, 784, 236772, 2289, 38952, 1786, 3423, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236828, 827, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 8111, 236761, 4034, 827, 623, 13084, 1083, 236743, 236770, 236812, 236800, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236800, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236771, 827, 623, 6386, 1083, 623, 12415, 497, 68364, 827, 623, 3955, 1083, 623, 4754, 6214, 2506, 910, 1171, 83482, 125032, 3124, 236888, 621, 689, 236828, 236800, 236753, 236785, 2917, 236771, 236753, 997, 36177, 141754, 40039, 827, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17619, 51917, 236761, 4034, 827, 623, 13084, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236819, 827, 623, 6386, 1083, 623, 12415, 616, 19510, 925, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236753, 236785, 689, 24035, 13444, 236743, 236770, 52973, 236787, 9533, 184820, 531, 4526, 2342, 10561, 236761, 18698, 1921, 3014, 31768, 42286, 10498, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236828, 827, 623, 6386, 1083, 623, 122666, 22924, 236798, 1749, 827, 623, 3955, 1083, 623, 137637, 34222, 22924, 12219, 3124, 236761, 669, 861, 29353, 42392, 659, 7646, 41218, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 540, 13419, 236761, 4034, 827, 623, 13084, 1083, 236743, 236819, 236810, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236770, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236832, 827, 623, 6386, 1083, 623, 12415, 616, 107017, 16978, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236753, 236785, 2917, 236746, 236828, 204635, 236787, 20273, 15049, 194843, 2779, 684, 5142, 236743, 236800, 236771, 236761, 5185, 236789, 236745, 4305, 855, 41218, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236770, 236800, 236812, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236825, 827, 623, 6386, 1083, 623, 141754, 2834, 20535, 827, 623, 3955, 1083, 623, 3689, 236789, 236751, 4677, 236789, 236751, 17046, 573, 506, 83482, 236789, 236743, 236778, 236771, 236778, 236810, 3423, 236881, 621, 689, 236828, 236800, 236744, 236785, 9646, 236770, 236812, 827, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236828, 236832, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236819, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 12027, 236779, 3906, 1083, 3714, 12027, 1083, 12948, 12415, 616, 107017, 68734, 827, 623, 14531, 236779, 2861, 1083, 236743, 236778, 236770, 236810, 236771, 236771, 236771, 236764, 623, 7777, 1083, 623, 818, 5125, 8340, 3399, 573, 7086, 8036, 83482, 25368, 236761, 29365, 10448, 607, 2290, 51679, 236764, 4155, 4668, 236764, 532, 14417, 3004, 236761, 997, 5988, 12415, 5988, 127096, 106, 107, 105, 4368, 107, 818, 5125, 7086, 8036, 83482, 8340, 7102, 5213, 236940, 12415, 616, 107017, 68734, 1018, 815, 1010, 10428, 27662, 607, 236787, 108, 1018, 18842, 26398, 53121, 107, 236772, 5213, 31946, 53121, 236743, 236778, 236770, 236810, 236764, 236771, 236771, 236771, 568, 5034, 3399, 236768, 107, 236772, 5213, 9770, 53121, 623, 126350, 7086, 8036, 83482, 8340, 3399, 607, 3892, 12496, 236764, 2290, 3671, 236764, 532, 14417, 3004, 236761, 29134, 506, 5125, 15039, 573, 57626, 40039, 15454, 1781, 108, 1018, 5753, 125145, 53121, 107, 236772, 43469, 3618, 236787, 623, 249397, 9064, 6156, 35868, 236888, 669, 7086, 8036, 83482, 1769, 580, 506, 56670, 672, 8174, 657, 34222, 22924, 12219, 236761, 3792, 236789, 236751, 28708, 4977, 506, 2434, 236888, 997, 5988, 12415, 5988, 236775, 568, 95845, 3124, 236768, 107, 236772, 34980, 10396, 3204, 2290, 18701, 236764, 15049, 12496, 236764, 532, 8340, 12969, 236764, 49378, 14335, 4588, 236761, 108, 3771, 9825, 26109, 753, 672, 563, 506, 24636, 7102, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 4087, 1679, 506, 5125, 7086, 8036, 83482, 8340, 7102, 580, 52785, 236761, 9187, 684, 16329, 768, 623, 12415, 616, 107017, 68734, 236775, 7519, 1699, 506, 7102, 8283, 5904, 236761, 1637, 600, 20269, 236764, 2056, 623, 17224, 27930, 12415, 616, 79179, 3056, 9920, 611, 1586, 506, 1447, 7102, 236764, 33205, 1061, 4374, 1527, 532, 6492, 236764, 1299, 12270, 506, 6524, 236743, 236770, 236771, 10396, 531, 9128, 625, 236789, 236751, 5158, 236761, 1637, 611, 5524, 1027, 9825, 236764, 151350, 684, 16329, 3361, 7102, 5618, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 12415, 616, 21380, 34883, 827, 623, 7777, 1083, 623, 126350, 7086, 8036, 83482, 8340, 3399, 607, 3892, 12496, 236764, 2290, 3671, 236764, 532, 14417, 3004, 236761, 29134, 506, 5125, 15039, 573, 57626, 40039, 15454, 10498, 623, 103088, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236800, 236812, 236828, 236764, 623, 14007, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12027, 236779, 127966, 236779, 53654, 236761, 4034, 827, 623, 140744, 236779, 2861, 236779, 1896, 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, 28546, 1083, 78493, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 827, 623, 6386, 1083, 623, 12415, 616, 107017, 16978, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236755, 236785, 689, 16652, 236828, 9064, 6156, 35868, 236888, 669, 7086, 8036, 83482, 1769, 580, 506, 56670, 672, 8174, 657, 34222, 22924, 12219, 236761, 3792, 236789, 236751, 28708, 4977, 506, 2434, 236888, 997, 5988, 12415, 5988, 827, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 108827, 22924, 236761, 4034, 827, 623, 13084, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236812, 827, 623, 6386, 1083, 623, 141754, 2834, 80262, 827, 623, 3955, 1083, 623, 11896, 2506, 1041, 16677, 573, 506, 83482, 7728, 236761, 56670, 2290, 236888, 11063, 1663, 563, 1771, 32109, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236800, 827, 623, 6386, 1083, 623, 12415, 616, 18626, 28461, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236753, 236785, 689, 10676, 236771, 43469, 7074, 236787, 83482, 26155, 36691, 12496, 7531, 529, 13444, 236743, 236770, 236761, 8847, 919, 236787, 870, 2883, 50679, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236770, 236771, 236778, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236770, 236828, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236778, 827, 623, 6386, 1083, 623, 74874, 17718, 29776, 827, 623, 3955, 1083, 623, 23240, 4266, 496, 176837, 4598, 528, 7371, 236743, 236800, 236800, 672, 9735, 236761, 2343, 7807, 8349, 236888, 621, 236756, 236778, 236825, 10882, 827, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236832, 236825, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236770, 236810, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236770, 827, 623, 6386, 1083, 623, 12415, 616, 107017, 16978, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 183793, 531, 1392, 122008, 51934, 9964, 573, 15512, 506, 784, 236772, 2289, 38952, 1786, 3423, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236828, 827, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 8111, 236761, 4034, 827, 623, 13084, 1083, 236743, 236770, 236812, 236800, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236800, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236771, 827, 623, 6386, 1083, 623, 12415, 497, 68364, 827, 623, 3955, 1083, 623, 4754, 6214, 2506, 910, 1171, 83482, 125032, 3124, 236888, 621, 689, 236828, 236800, 236753, 236785, 2917, 236771, 236753, 997, 36177, 141754, 40039, 827, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 17619, 51917, 236761, 4034, 827, 623, 13084, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236819, 827, 623, 6386, 1083, 623, 12415, 616, 19510, 925, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236753, 236785, 689, 24035, 13444, 236743, 236770, 52973, 236787, 9533, 184820, 531, 4526, 2342, 10561, 236761, 18698, 1921, 3014, 31768, 42286, 10498, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236828, 827, 623, 6386, 1083, 623, 122666, 22924, 236798, 1749, 827, 623, 3955, 1083, 623, 137637, 34222, 22924, 12219, 3124, 236761, 669, 861, 29353, 42392, 659, 7646, 41218, 623, 10494, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 540, 13419, 236761, 4034, 827, 623, 13084, 1083, 236743, 236819, 236810, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236770, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236832, 827, 623, 6386, 1083, 623, 12415, 616, 107017, 16978, 827, 623, 3955, 1083, 6443, 689, 236828, 236800, 236753, 236785, 2917, 236746, 236828, 204635, 236787, 20273, 15049, 194843, 2779, 684, 5142, 236743, 236800, 236771, 236761, 5185, 236789, 236745, 4305, 855, 41218, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236770, 236800, 236812, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 4375, 236779, 547, 1083, 623, 236770, 236778, 236800, 236800, 236825, 827, 623, 6386, 1083, 623, 141754, 2834, 20535, 827, 623, 3955, 1083, 623, 3689, 236789, 236751, 4677, 236789, 236751, 17046, 573, 506, 83482, 236789, 236743, 236778, 236771, 236778, 236810, 3423, 236881, 621, 689, 236828, 236800, 236744, 236785, 9646, 236770, 236812, 827, 623, 10494, 1083, 2303, 236764, 623, 13084, 1083, 236743, 236828, 236832, 236771, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236819, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 12027, 236779, 3906, 1083, 3714, 12027, 1083, 12948, 12415, 616, 107017, 68734, 827, 623, 14531, 236779, 2861, 1083, 236743, 236778, 236770, 236810, 236771, 236771, 236771, 236764, 623, 7777, 1083, 623, 818, 5125, 8340, 3399, 573, 7086, 8036, 83482, 25368, 236761, 29365, 10448, 607, 2290, 51679, 236764, 4155, 4668, 236764, 532, 14417, 3004, 236761, 997, 5988, 12415, 5988, 127096, 106, 107, 105, 4368, 107, 818, 5125, 7086, 8036, 83482, 8340, 7102, 5213, 236940, 12415, 616, 107017, 68734, 1018, 815, 1010, 10428, 27662, 607, 236787, 108, 1018, 18842, 26398, 53121, 107, 236772, 5213, 31946, 53121, 236743, 236778, 236770, 236810, 236764, 236771, 236771, 236771, 568, 5034, 3399, 236768, 107, 236772, 5213, 9770, 53121, 623, 126350, 7086, 8036, 83482, 8340, 3399, 607, 3892, 12496, 236764, 2290, 3671, 236764, 532, 14417, 3004, 236761, 29134, 506, 5125, 15039, 573, 57626, 40039, 15454, 1781, 108, 1018, 5753, 125145, 53121, 107, 236772, 43469, 3618, 236787, 623, 249397, 9064, 6156, 35868, 236888, 669, 7086, 8036, 83482, 1769, 580, 506, 56670, 672, 8174, 657, 34222, 22924, 12219, 236761, 3792, 236789, 236751, 28708, 4977, 506, 2434, 236888, 997, 5988, 12415, 5988, 236775, 568, 95845, 3124, 236768, 107, 236772, 34980, 10396, 3204, 2290, 18701, 236764, 15049, 12496, 236764, 532, 8340, 12969, 236764, 49378, 14335, 4588, 236761, 108, 3771, 9825, 26109, 753, 672, 563, 506, 24636, 7102, 236761, 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, 2426, 506, 4981, 529, 1041, 1960, 10945, 3739, 573, 600, 11790, 7805, 564, 4173, 4334, 1003, 236761, 669, 3207, 4408, 5877, 786, 2864, 5853, 86749, 236772, 41809, 236772, 236812, 236810, 236825, 236832, 236828, 236761, 3199, 611, 1161, 974, 236779, 6639, 531, 8091, 506, 6524, 4610, 236881, 564, 44534, 1386, 2889, 993, 236789, 236751, 951, 4790, 46047, 1680, 564, 1900, 506, 861, 70295, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 4375, 1083, 623, 17844, 10945, 3739, 10833, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 31455, 236779, 13308, 1083, 3714, 31455, 236779, 547, 1083, 623, 8017, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236812, 236828, 236800, 827, 623, 23019, 236779, 1201, 1083, 623, 41809, 50270, 18591, 827, 623, 4730, 236779, 2543, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 4730, 236779, 1071, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236812, 236772, 236771, 236770, 127096, 106, 107, 105, 4368, 107, 11069, 1960, 10945, 3739, 573, 191110, 50270, 18591, 815, 1010, 5213, 59849, 1018, 236888, 204906, 138, 107, 236772, 5213, 75393, 77151, 66515, 30638, 699, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 531, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236825, 236761, 138, 107, 236772, 5213, 29105, 5853, 66515, 15358, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236812, 236828, 236800, 138, 108, 3771, 30583, 13207, 237028, 1437, 3207, 4408, 90152, 506, 13196, 580, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 1599, 236858, 500, 784, 1076, 531, 7162, 607, 24121, 822, 70295, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 247975, 238178, 106, 107, 105, 2364, 107, 2046, 192716, 600, 236888, 4224, 236764, 564, 1202, 531, 2426, 580, 506, 70295, 9841, 2864, 901, 6950, 1056, 564, 13450, 506, 7805, 6614, 236761, 669, 3207, 4408, 5877, 786, 2864, 5853, 49456, 6409, 236772, 41809, 236772, 236819, 236828, 236832, 236825, 236810, 236761, 3199, 611, 1161, 974, 236779, 6639, 1570, 531, 1460, 768, 600, 236858, 236751, 30246, 236881, 564, 1537, 236858, 236745, 44534, 13098, 506, 1519, 3097, 625, 236858, 236751, 5125, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4764, 236779, 547, 1083, 623, 65631, 6409, 236772, 41809, 236772, 236819, 236828, 236832, 236825, 236810, 827, 623, 4818, 1083, 623, 495, 3540, 827, 623, 92386, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 827, 623, 4002, 236779, 17585, 1083, 623, 236802, 22172, 14143, 2426, 827, 623, 51183, 236779, 35396, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 827, 623, 4375, 1083, 623, 18463, 509, 3739, 1208, 3540, 236761, 562, 58491, 1626, 13196, 699, 68420, 7920, 1680, 50658, 1781, 236783, 106, 107, 105, 4368, 107, 818, 70295, 9841, 2864, 5213, 65631, 6409, 236772, 41809, 236772, 236819, 236828, 236832, 236825, 236810, 1018, 563, 5633, 5213, 495, 3540, 1018, 532, 815, 8452, 506, 5213, 236802, 22172, 14143, 2426, 1018, 5552, 236761, 9533, 4889, 236787, 138, 107, 236772, 5213, 82265, 66515, 5261, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 122598, 47278, 66515, 5261, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6717, 66515, 562, 58491, 1626, 68420, 7920, 13196, 1680, 9841, 50658, 236761, 138, 108, 818, 3207, 4408, 76667, 9495, 573, 5125, 26093, 1680, 28496, 506, 1519, 236761, 564, 236858, 859, 2514, 614, 7068, 580, 12496, 237028, 42090, 786, 531, 29596, 611, 3622, 625, 236858, 236751, 30246, 236881, 236743, 250119, 242509, 106, 107, 105, 2364, 107, 17043, 531, 4491, 3097, 600, 9841, 236858, 236751, 21209, 30246, 1680, 17940, 506, 1519, 236761, 173663, 4342, 740, 9249, 2432, 1581, 768, 506, 10945, 563, 10833, 236761, 3792, 786, 1281, 768, 611, 1461, 786, 531, 2426, 1570, 1308, 5261, 236743, 236778, 236810, 237028, 504, 768, 611, 236858, 236753, 1133, 1601, 66582, 496, 54651, 1500, 236772, 1048, 4553, 531, 506, 68420, 7920, 531, 127541, 625, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 500, 11087, 1447, 531, 4491, 237028, 509, 236789, 236751, 6538, 531, 5571, 3435, 34768, 653, 14291, 5384, 768, 506, 9841, 5889, 236789, 236745, 90152, 236761, 10508, 3835, 659, 5139, 236787, 138, 107, 236772, 5213, 13733, 236743, 236770, 66515, 564, 740, 544, 4256, 506, 4981, 11269, 1308, 5261, 236743, 236778, 236810, 236761, 138, 107, 236772, 5213, 13733, 236743, 236778, 66515, 564, 740, 1601, 12262, 496, 5707, 1500, 236772, 1048, 4553, 531, 506, 68420, 7920, 531, 56856, 910, 3540, 236761, 138, 108, 24249, 1093, 611, 5278, 236881, 1637, 611, 1461, 531, 5039, 496, 1500, 236772, 1048, 236764, 564, 236858, 859, 1202, 506, 7920, 236858, 236751, 3662, 4553, 568, 584, 611, 735, 625, 236768, 532, 1027, 3530, 4889, 1003, 822, 70295, 568, 236744, 236761, 236759, 1126, 13376, 236764, 5417, 236768, 531, 5577, 528, 506, 3618, 236761, 3792, 786, 1281, 236888, 236743, 253891, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 2426, 506, 4981, 529, 1041, 1960, 10945, 3739, 573, 600, 11790, 7805, 564, 4173, 4334, 1003, 236761, 669, 3207, 4408, 5877, 786, 2864, 5853, 86749, 236772, 41809, 236772, 236812, 236810, 236825, 236832, 236828, 236761, 3199, 611, 1161, 974, 236779, 6639, 531, 8091, 506, 6524, 4610, 236881, 564, 44534, 1386, 2889, 993, 236789, 236751, 951, 4790, 46047, 1680, 564, 1900, 506, 861, 70295, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 40812, 827, 623, 4375, 1083, 623, 17844, 10945, 3739, 10833, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 31455, 236779, 13308, 1083, 3714, 31455, 236779, 547, 1083, 623, 8017, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236812, 236828, 236800, 827, 623, 23019, 236779, 1201, 1083, 623, 41809, 50270, 18591, 827, 623, 4730, 236779, 2543, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 4730, 236779, 1071, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236812, 236772, 236771, 236770, 127096, 106, 107, 105, 4368, 107, 11069, 1960, 10945, 3739, 573, 191110, 50270, 18591, 815, 1010, 5213, 59849, 1018, 236888, 204906, 138, 107, 236772, 5213, 75393, 77151, 66515, 30638, 699, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 531, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236825, 236761, 138, 107, 236772, 5213, 29105, 5853, 66515, 15358, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236812, 236828, 236800, 138, 108, 3771, 30583, 13207, 237028, 1437, 3207, 4408, 90152, 506, 13196, 580, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 1599, 236858, 500, 784, 1076, 531, 7162, 607, 24121, 822, 70295, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 247975, 238178, 106, 107, 105, 2364, 107, 2046, 192716, 600, 236888, 4224, 236764, 564, 1202, 531, 2426, 580, 506, 70295, 9841, 2864, 901, 6950, 1056, 564, 13450, 506, 7805, 6614, 236761, 669, 3207, 4408, 5877, 786, 2864, 5853, 49456, 6409, 236772, 41809, 236772, 236819, 236828, 236832, 236825, 236810, 236761, 3199, 611, 1161, 974, 236779, 6639, 1570, 531, 1460, 768, 600, 236858, 236751, 30246, 236881, 564, 1537, 236858, 236745, 44534, 13098, 506, 1519, 3097, 625, 236858, 236751, 5125, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4764, 236779, 547, 1083, 623, 65631, 6409, 236772, 41809, 236772, 236819, 236828, 236832, 236825, 236810, 827, 623, 4818, 1083, 623, 495, 3540, 827, 623, 92386, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 827, 623, 4002, 236779, 17585, 1083, 623, 236802, 22172, 14143, 2426, 827, 623, 51183, 236779, 35396, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 827, 623, 4375, 1083, 623, 18463, 509, 3739, 1208, 3540, 236761, 562, 58491, 1626, 13196, 699, 68420, 7920, 1680, 50658, 1781, 236783, 106, 107, 105, 4368, 107, 818, 70295, 9841, 2864, 5213, 65631, 6409, 236772, 41809, 236772, 236819, 236828, 236832, 236825, 236810, 1018, 563, 5633, 5213, 495, 3540, 1018, 532, 815, 8452, 506, 5213, 236802, 22172, 14143, 2426, 1018, 5552, 236761, 9533, 4889, 236787, 138, 107, 236772, 5213, 82265, 66515, 5261, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 122598, 47278, 66515, 5261, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6717, 66515, 562, 58491, 1626, 68420, 7920, 13196, 1680, 9841, 50658, 236761, 138, 108, 818, 3207, 4408, 76667, 9495, 573, 5125, 26093, 1680, 28496, 506, 1519, 236761, 564, 236858, 859, 2514, 614, 7068, 580, 12496, 237028, 42090, 786, 531, 29596, 611, 3622, 625, 236858, 236751, 30246, 236881, 236743, 250119, 242509, 106, 107, 105, 2364, 107, 17043, 531, 4491, 3097, 600, 9841, 236858, 236751, 21209, 30246, 1680, 17940, 506, 1519, 236761, 173663, 4342, 740, 9249, 2432, 1581, 768, 506, 10945, 563, 10833, 236761, 3792, 786, 1281, 768, 611, 1461, 786, 531, 2426, 1570, 1308, 5261, 236743, 236778, 236810, 237028, 504, 768, 611, 236858, 236753, 1133, 1601, 66582, 496, 54651, 1500, 236772, 1048, 4553, 531, 506, 68420, 7920, 531, 127541, 625, 236761, 106, 107, 105, 4368, 107, 3048, 236789, 500, 11087, 1447, 531, 4491, 237028, 509, 236789, 236751, 6538, 531, 5571, 3435, 34768, 653, 14291, 5384, 768, 506, 9841, 5889, 236789, 236745, 90152, 236761, 10508, 3835, 659, 5139, 236787, 138, 107, 236772, 5213, 13733, 236743, 236770, 66515, 564, 740, 544, 4256, 506, 4981, 11269, 1308, 5261, 236743, 236778, 236810, 236761, 138, 107, 236772, 5213, 13733, 236743, 236778, 66515, 564, 740, 1601, 12262, 496, 5707, 1500, 236772, 1048, 4553, 531, 506, 68420, 7920, 531, 56856, 910, 3540, 236761, 138, 108, 24249, 1093, 611, 5278, 236881, 1637, 611, 1461, 531, 5039, 496, 1500, 236772, 1048, 236764, 564, 236858, 859, 1202, 506, 7920, 236858, 236751, 3662, 4553, 568, 584, 611, 735, 625, 236768, 532, 1027, 3530, 4889, 1003, 822, 70295, 568, 236744, 236761, 236759, 1126, 13376, 236764, 5417, 236768, 531, 5577, 528, 506, 3618, 236761, 3792, 786, 1281, 236888, 236743, 253891, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 152199, 236761, 564, 236789, 236757, 25671, 872, 496, 12978, 573, 506, 192210, 28917, 15467, 2148, 2069, 236764, 532, 564, 1202, 496, 2268, 18014, 236761, 3199, 611, 1385, 872, 496, 5410, 684, 129076, 11181, 573, 786, 236881, 4298, 236764, 564, 236789, 236753, 1133, 531, 1281, 1217, 1551, 11739, 659, 528, 506, 3822, 529, 600, 5410, 236761, 564, 236789, 236757, 23513, 1091, 531, 1460, 768, 625, 19009, 580, 1041, 861, 63004, 7853, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24013, 236779, 3250, 1083, 623, 236780, 1196, 602, 19656, 827, 623, 31040, 1083, 623, 157390, 835, 11181, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236828, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3119, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 818, 5410, 3822, 623, 236780, 1196, 602, 19656, 236775, 815, 5213, 236770, 236771, 7579, 1018, 568, 16603, 506, 2557, 769, 1637, 611, 236789, 500, 23513, 1186, 11739, 568, 86426, 506, 2557, 779, 625, 1093, 577, 236743, 236819, 11739, 236761, 3153, 236764, 2721, 580, 506, 5904, 236789, 236751, 3072, 236764, 506, 2558, 2872, 1527, 563, 5213, 236770, 236771, 84750, 1174, 1374, 4691, 73086, 580, 822, 63004, 7853, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 152199, 236761, 564, 236789, 236757, 25671, 872, 496, 12978, 573, 506, 192210, 28917, 15467, 2148, 2069, 236764, 532, 564, 1202, 496, 2268, 18014, 236761, 3199, 611, 1385, 872, 496, 5410, 684, 129076, 11181, 573, 786, 236881, 4298, 236764, 564, 236789, 236753, 1133, 531, 1281, 1217, 1551, 11739, 659, 528, 506, 3822, 529, 600, 5410, 236761, 564, 236789, 236757, 23513, 1091, 531, 1460, 768, 625, 19009, 580, 1041, 861, 63004, 7853, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24013, 236779, 3250, 1083, 623, 236780, 1196, 602, 19656, 827, 623, 31040, 1083, 623, 157390, 835, 11181, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236828, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3119, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 818, 5410, 3822, 623, 236780, 1196, 602, 19656, 236775, 815, 5213, 236770, 236771, 7579, 1018, 568, 16603, 506, 2557, 769, 1637, 611, 236789, 500, 23513, 1186, 11739, 568, 86426, 506, 2557, 779, 625, 1093, 577, 236743, 236819, 11739, 236761, 3153, 236764, 2721, 580, 506, 5904, 236789, 236751, 3072, 236764, 506, 2558, 2872, 1527, 563, 5213, 236770, 236771, 84750, 1174, 1374, 4691, 73086, 580, 822, 63004, 7853, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 614, 10365, 1868, 699, 496, 2263, 39286, 8325, 531, 3050, 1061, 15154, 19455, 532, 3004, 7545, 236761, 3199, 611, 33205, 9813, 26545, 573, 496, 3530, 1868, 1699, 506, 5213, 29872, 236779, 3274, 236779, 3906, 1018, 5904, 236881, 564, 236789, 859, 2847, 506, 1868, 10739, 3622, 611, 9128, 236761, 106, 107, 105, 4368, 107, 9366, 2847, 506, 10365, 1868, 10739, 834, 564, 740, 33205, 506, 9813, 26545, 532, 15154, 19455, 1699, 506, 10365, 6531, 23614, 5904, 236761, 9920, 564, 735, 506, 10739, 236764, 564, 236789, 859, 18840, 506, 1868, 236789, 236751, 3736, 532, 3004, 7545, 4820, 236761, 106, 107, 105, 2364, 107, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236828, 236778, 172679, 236766, 59920, 236953, 236786, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 2303, 236764, 623, 6275, 1083, 3714, 3274, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236828, 236778, 172679, 236766, 59920, 236953, 45502, 623, 92506, 236779, 29263, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236778, 236800, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236771, 236812, 236764, 623, 158076, 1083, 236743, 236810, 236770, 236778, 236764, 623, 177142, 1083, 236743, 236828, 236819, 236771, 1263, 623, 3955, 236779, 21052, 1083, 3714, 21151, 1083, 623, 162117, 506, 11497, 80722, 529, 42240, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 997, 173138, 4036, 140628, 997, 52115, 236823, 2334, 827, 623, 137112, 4073, 1083, 11058, 236865, 173138, 4036, 140628, 827, 13659, 52115, 236823, 2334, 827, 13659, 44410, 173138, 14255, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 29872, 236779, 3871, 236786, 28656, 236779, 7632, 10141, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 23179, 623, 6875, 884, 236779, 3906, 1083, 3714, 7125, 1083, 3714, 1201, 1083, 623, 236774, 1490, 553, 113877, 1228, 100786, 827, 623, 56220, 1083, 3714, 37673, 1083, 753, 236828, 236761, 236812, 236828, 236771, 236825, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236810, 236761, 236810, 236778, 236771, 236770, 5237, 623, 3274, 236779, 2084, 1083, 623, 18999, 236779, 3304, 827, 623, 192941, 236779, 21151, 1083, 623, 236776, 43461, 3826, 45693, 156881, 1131, 496, 12707, 236772, 9347, 7444, 18211, 684, 39048, 47738, 1781, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 10365, 1868, 699, 506, 39286, 8325, 236789, 236751, 2881, 236787, 108, 1018, 227187, 116589, 53121, 107, 236772, 153883, 236787, 236743, 236770, 236810, 236764, 236778, 236800, 236771, 568, 22468, 15154, 573, 496, 4301, 236772, 68122, 1868, 236768, 107, 236772, 32213, 236787, 236743, 236800, 236771, 236812, 568, 65141, 236751, 5158, 9998, 9553, 236768, 107, 236772, 85214, 236787, 236743, 236810, 236770, 236778, 568, 212431, 3004, 5800, 2027, 3435, 236768, 107, 236772, 146805, 236787, 236743, 236828, 236819, 236771, 568, 67258, 1550, 618, 5577, 2561, 236768, 108, 1018, 4795, 34428, 76374, 53121, 107, 236770, 236761, 5213, 20216, 16976, 41707, 53121, 669, 43461, 45693, 2471, 607, 15375, 15554, 236828, 236761, 236812, 236828, 236771, 236825, 236764, 236743, 236770, 236770, 236810, 236761, 236810, 236778, 236771, 236770, 236768, 12205, 4563, 236772, 5140, 20623, 3004, 600, 119636, 607, 4301, 48030, 107, 236778, 236761, 5213, 18047, 613, 582, 34428, 53121, 65284, 20054, 118252, 997, 173138, 4036, 140628, 568, 236770, 236761, 236778, 236792, 12714, 236768, 532, 997, 52115, 236823, 2334, 568, 236812, 236761, 236828, 236792, 12714, 236768, 531, 5370, 17324, 28675, 1651, 16977, 5500, 9834, 107, 236800, 236761, 5213, 85472, 62840, 53121, 60217, 617, 44358, 607, 4563, 3213, 14004, 41998, 1651, 31983, 1024, 236772, 146879, 107, 236812, 236761, 5213, 100651, 53121, 50786, 5261, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236778, 236778, 8711, 59528, 100146, 607, 11519, 15154, 3885, 573, 4301, 3004, 108, 1018, 58972, 19779, 53121, 107, 236772, 111886, 44358, 29350, 23722, 3004, 10154, 107, 236772, 21175, 236772, 3304, 6518, 32618, 7426, 3213, 568, 21314, 1295, 806, 1416, 236786, 40232, 236768, 107, 236772, 119558, 56188, 573, 4563, 16074, 108, 38786, 611, 1133, 786, 531, 18840, 4767, 12714, 531, 8701, 3004, 9935, 653, 10769, 672, 3736, 2342, 10944, 80293, 573, 39286, 236772, 5140, 44100, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 18840, 2264, 1868, 699, 672, 8325, 236789, 236751, 8781, 531, 8701, 3004, 9935, 236761, 28344, 611, 1161, 506, 5213, 29872, 236779, 2364, 236779, 3906, 1018, 5904, 531, 33205, 910, 4803, 12714, 236881, 1174, 795, 1601, 775, 3050, 910, 6782, 3004, 7545, 532, 25035, 7132, 236761, 3792, 786, 1281, 1056, 611, 735, 506, 1262, 236888, 106, 107, 105, 4368, 107, 9366, 2847, 506, 10365, 15345, 529, 506, 39286, 8325, 611, 236789, 500, 32187, 236761, 3227, 672, 1938, 236764, 564, 236789, 859, 1161, 506, 10365, 7486, 23614, 5904, 531, 33205, 910, 4803, 12714, 236764, 84014, 14906, 236764, 532, 3004, 9935, 531, 1601, 611, 3050, 910, 6782, 3004, 7545, 532, 25035, 7132, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 614, 10365, 1868, 699, 496, 2263, 39286, 8325, 531, 3050, 1061, 15154, 19455, 532, 3004, 7545, 236761, 3199, 611, 33205, 9813, 26545, 573, 496, 3530, 1868, 1699, 506, 5213, 29872, 236779, 3274, 236779, 3906, 1018, 5904, 236881, 564, 236789, 859, 2847, 506, 1868, 10739, 3622, 611, 9128, 236761, 106, 107, 105, 4368, 107, 9366, 2847, 506, 10365, 1868, 10739, 834, 564, 740, 33205, 506, 9813, 26545, 532, 15154, 19455, 1699, 506, 10365, 6531, 23614, 5904, 236761, 9920, 564, 735, 506, 10739, 236764, 564, 236789, 859, 18840, 506, 1868, 236789, 236751, 3736, 532, 3004, 7545, 4820, 236761, 106, 107, 105, 2364, 107, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236828, 236778, 172679, 236766, 59920, 236953, 236786, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 2303, 236764, 623, 6275, 1083, 3714, 3274, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236828, 236778, 172679, 236766, 59920, 236953, 45502, 623, 92506, 236779, 29263, 1083, 3714, 56652, 1083, 236743, 236770, 236810, 236778, 236800, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236771, 236812, 236764, 623, 158076, 1083, 236743, 236810, 236770, 236778, 236764, 623, 177142, 1083, 236743, 236828, 236819, 236771, 1263, 623, 3955, 236779, 21052, 1083, 3714, 21151, 1083, 623, 162117, 506, 11497, 80722, 529, 42240, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 997, 173138, 4036, 140628, 997, 52115, 236823, 2334, 827, 623, 137112, 4073, 1083, 11058, 236865, 173138, 4036, 140628, 827, 13659, 52115, 236823, 2334, 827, 13659, 44410, 173138, 14255, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 29872, 236779, 3871, 236786, 28656, 236779, 7632, 10141, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 23179, 623, 6875, 884, 236779, 3906, 1083, 3714, 7125, 1083, 3714, 1201, 1083, 623, 236774, 1490, 553, 113877, 1228, 100786, 827, 623, 56220, 1083, 3714, 37673, 1083, 753, 236828, 236761, 236812, 236828, 236771, 236825, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236810, 236761, 236810, 236778, 236771, 236770, 5237, 623, 3274, 236779, 2084, 1083, 623, 18999, 236779, 3304, 827, 623, 192941, 236779, 21151, 1083, 623, 236776, 43461, 3826, 45693, 156881, 1131, 496, 12707, 236772, 9347, 7444, 18211, 684, 39048, 47738, 1781, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 10365, 1868, 699, 506, 39286, 8325, 236789, 236751, 2881, 236787, 108, 1018, 227187, 116589, 53121, 107, 236772, 153883, 236787, 236743, 236770, 236810, 236764, 236778, 236800, 236771, 568, 22468, 15154, 573, 496, 4301, 236772, 68122, 1868, 236768, 107, 236772, 32213, 236787, 236743, 236800, 236771, 236812, 568, 65141, 236751, 5158, 9998, 9553, 236768, 107, 236772, 85214, 236787, 236743, 236810, 236770, 236778, 568, 212431, 3004, 5800, 2027, 3435, 236768, 107, 236772, 146805, 236787, 236743, 236828, 236819, 236771, 568, 67258, 1550, 618, 5577, 2561, 236768, 108, 1018, 4795, 34428, 76374, 53121, 107, 236770, 236761, 5213, 20216, 16976, 41707, 53121, 669, 43461, 45693, 2471, 607, 15375, 15554, 236828, 236761, 236812, 236828, 236771, 236825, 236764, 236743, 236770, 236770, 236810, 236761, 236810, 236778, 236771, 236770, 236768, 12205, 4563, 236772, 5140, 20623, 3004, 600, 119636, 607, 4301, 48030, 107, 236778, 236761, 5213, 18047, 613, 582, 34428, 53121, 65284, 20054, 118252, 997, 173138, 4036, 140628, 568, 236770, 236761, 236778, 236792, 12714, 236768, 532, 997, 52115, 236823, 2334, 568, 236812, 236761, 236828, 236792, 12714, 236768, 531, 5370, 17324, 28675, 1651, 16977, 5500, 9834, 107, 236800, 236761, 5213, 85472, 62840, 53121, 60217, 617, 44358, 607, 4563, 3213, 14004, 41998, 1651, 31983, 1024, 236772, 146879, 107, 236812, 236761, 5213, 100651, 53121, 50786, 5261, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236778, 236778, 8711, 59528, 100146, 607, 11519, 15154, 3885, 573, 4301, 3004, 108, 1018, 58972, 19779, 53121, 107, 236772, 111886, 44358, 29350, 23722, 3004, 10154, 107, 236772, 21175, 236772, 3304, 6518, 32618, 7426, 3213, 568, 21314, 1295, 806, 1416, 236786, 40232, 236768, 107, 236772, 119558, 56188, 573, 4563, 16074, 108, 38786, 611, 1133, 786, 531, 18840, 4767, 12714, 531, 8701, 3004, 9935, 653, 10769, 672, 3736, 2342, 10944, 80293, 573, 39286, 236772, 5140, 44100, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 18840, 2264, 1868, 699, 672, 8325, 236789, 236751, 8781, 531, 8701, 3004, 9935, 236761, 28344, 611, 1161, 506, 5213, 29872, 236779, 2364, 236779, 3906, 1018, 5904, 531, 33205, 910, 4803, 12714, 236881, 1174, 795, 1601, 775, 3050, 910, 6782, 3004, 7545, 532, 25035, 7132, 236761, 3792, 786, 1281, 1056, 611, 735, 506, 1262, 236888, 106, 107, 105, 4368, 107, 9366, 2847, 506, 10365, 15345, 529, 506, 39286, 8325, 611, 236789, 500, 32187, 236761, 3227, 672, 1938, 236764, 564, 236789, 859, 1161, 506, 10365, 7486, 23614, 5904, 531, 33205, 910, 4803, 12714, 236764, 84014, 14906, 236764, 532, 3004, 9935, 531, 1601, 611, 3050, 910, 6782, 3004, 7545, 532, 25035, 7132, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 2016, 496, 3399, 7972, 28516, 1590, 528, 565, 25653, 527, 573, 2263, 10974, 531, 3449, 49115, 236761, 5315, 236764, 564, 1202, 531, 5510, 573, 496, 19312, 7224, 236764, 837, 7087, 2263, 7094, 1262, 573, 565, 25653, 527, 568, 15905, 3393, 236743, 236771, 236771, 236832, 236778, 236810, 769, 4298, 236764, 564, 1202, 531, 9279, 236743, 236770, 236770, 236761, 236810, 236908, 50935, 580, 1041, 2561, 7715, 529, 609, 236778, 236764, 236800, 236771, 236771, 236761, 13472, 236764, 564, 1461, 8582, 52379, 580, 3788, 8675, 7972, 21622, 9273, 573, 34499, 43008, 236789, 236751, 10022, 236761, 3199, 611, 6060, 672, 7501, 529, 9395, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 1083, 623, 236771, 236771, 236832, 236778, 236810, 827, 623, 41129, 236779, 27163, 1083, 6610, 236778, 236812, 236828, 236810, 236771, 827, 623, 159521, 236779, 27163, 236779, 52447, 1083, 3714, 6460, 236779, 236778, 236810, 236767, 1083, 623, 236812, 236778, 70887, 623, 236778, 236810, 236767, 236779, 236810, 236771, 236767, 1083, 623, 236800, 236810, 70887, 623, 236810, 236771, 236767, 236779, 236832, 236810, 236767, 1083, 623, 236770, 236810, 70887, 623, 236832, 236810, 236767, 236779, 13779, 1083, 623, 236828, 171446, 623, 1516, 236779, 6265, 1083, 623, 236836, 236761, 236773, 236761, 38710, 18445, 236743, 236778, 236771, 236778, 236778, 84338, 236743, 236810, 236772, 16431, 87848, 827, 623, 23184, 1083, 623, 236780, 25653, 527, 44449, 5499, 236787, 2578, 236770, 236778, 236819, 236764, 236771, 236771, 236771, 568, 236778, 236771, 236778, 236800, 10967, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 109654, 236779, 30483, 1083, 236743, 236778, 236825, 236812, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236780, 236785, 236756, 236771, 236771, 236760, 236800, 1289, 105957, 583, 7455, 527, 51739, 5102, 696, 1958, 3897, 60472, 1109, 68607, 6523, 236785, 236756, 236771, 236771, 12064, 696, 34499, 43008, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 827, 623, 7777, 1083, 623, 96164, 30027, 496, 30027, 1642, 71441, 207202, 9284, 5102, 210408, 496, 759, 116412, 570, 2095, 63518, 696, 15777, 527, 17795, 507, 236764, 591, 53682, 45716, 569, 34499, 43008, 221476, 3714, 3250, 1083, 623, 236863, 714, 236785, 236756, 236771, 236771, 524, 236749, 1301, 6805, 3945, 696, 565, 25653, 527, 236787, 21816, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 570, 105957, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 7455, 527, 51739, 5102, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 67422, 236881, 2234, 236784, 675, 236812, 236810, 236825, 827, 623, 7777, 1083, 623, 127198, 569, 10103, 5311, 53231, 569, 38169, 6523, 236785, 236756, 236771, 236771, 12064, 19825, 53704, 696, 565, 25653, 527, 236764, 86262, 18837, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 520, 124687, 17662, 5102, 570, 78947, 8868, 86018, 1642, 862, 621, 236756, 236771, 236771, 236744, 236770, 5389, 221476, 3714, 3250, 1083, 623, 60237, 1642, 68607, 6523, 236785, 236756, 236771, 236771, 12064, 555, 19087, 1253, 696, 34499, 43008, 1109, 83663, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 50188, 227128, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 12027, 236786, 1398, 236832, 236828, 236819, 827, 623, 7777, 1083, 623, 8574, 514, 176309, 696, 494, 236785, 236756, 236771, 236771, 236744, 236819, 6832, 6278, 569, 127540, 7535, 5102, 610, 62800, 570, 68837, 569, 34499, 43008, 236764, 591, 94693, 696, 53231, 176543, 1642, 673, 236785, 236756, 236771, 236771, 236760, 236800, 45893, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 236780, 6552, 236935, 8686, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 3399, 7972, 28516, 2203, 528, 565, 25653, 527, 236787, 108, 236770, 236761, 5213, 13149, 30521, 5774, 568, 45104, 236743, 236771, 236771, 236832, 236778, 236810, 1473, 1018, 107, 139, 236772, 113009, 7094, 236787, 609, 236778, 236812, 236764, 236828, 236810, 236771, 107, 139, 236772, 30521, 5296, 236787, 107, 141, 236772, 8382, 609, 236778, 236810, 236764, 236771, 236771, 236771, 236787, 236743, 236812, 236778, 236908, 107, 141, 236772, 609, 236778, 236810, 236764, 236771, 236771, 236771, 23278, 236810, 236771, 236764, 236771, 236771, 236771, 236787, 236743, 236800, 236810, 236908, 107, 141, 236772, 609, 236810, 236771, 236764, 236771, 236771, 236771, 23278, 236832, 236810, 236764, 236771, 236771, 236771, 236787, 236743, 236770, 236810, 236908, 107, 141, 236772, 609, 236832, 236810, 236764, 236771, 236771, 236771, 87435, 236743, 236828, 236908, 107, 139, 236772, 17690, 236787, 749, 236761, 236773, 236761, 38710, 18445, 236743, 236778, 236771, 236778, 236778, 84338, 236743, 236810, 236772, 16431, 87848, 108, 236778, 236761, 5213, 169667, 86249, 53121, 107, 139, 236772, 236743, 236770, 236770, 236761, 236810, 236908, 50935, 580, 609, 236778, 236764, 236800, 236771, 236771, 578, 5213, 236795, 236778, 236825, 236812, 236761, 236810, 236771, 1018, 107, 139, 236772, 12613, 2561, 7715, 2440, 50935, 236787, 5213, 236795, 236778, 236764, 236810, 236825, 236812, 236761, 236810, 236771, 1018, 108, 236800, 236761, 5213, 53824, 216774, 53121, 107, 139, 236772, 870, 33266, 105957, 583, 7455, 527, 51739, 5102, 696, 1958, 3897, 60472, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 236768, 138, 107, 141, 236829, 5471, 236772, 2003, 236772, 9340, 8214, 573, 20511, 236772, 36954, 8675, 21622, 1699, 2263, 9206, 5417, 236829, 107, 139, 107, 139, 236772, 870, 236863, 714, 7893, 1301, 6805, 3945, 696, 565, 25653, 527, 144095, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 67422, 236881, 2234, 236784, 675, 236812, 236810, 236825, 236768, 138, 107, 141, 236829, 29698, 14086, 9050, 3863, 6799, 532, 30849, 573, 565, 25653, 527, 5699, 236829, 107, 139, 107, 139, 236772, 870, 174779, 166858, 33879, 9206, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 12027, 236786, 1398, 236832, 236828, 236819, 236768, 138, 107, 141, 236829, 18842, 10317, 580, 10974, 236772, 18865, 8403, 573, 34499, 129379, 9295, 236786, 66518, 236829, 108, 818, 20522, 7094, 1262, 532, 7094, 5296, 14906, 1374, 577, 6412, 11045, 573, 822, 19312, 7224, 3739, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 1027, 3530, 3336, 529, 822, 7224, 15523, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 2016, 496, 3399, 7972, 28516, 1590, 528, 565, 25653, 527, 573, 2263, 10974, 531, 3449, 49115, 236761, 5315, 236764, 564, 1202, 531, 5510, 573, 496, 19312, 7224, 236764, 837, 7087, 2263, 7094, 1262, 573, 565, 25653, 527, 568, 15905, 3393, 236743, 236771, 236771, 236832, 236778, 236810, 769, 4298, 236764, 564, 1202, 531, 9279, 236743, 236770, 236770, 236761, 236810, 236908, 50935, 580, 1041, 2561, 7715, 529, 609, 236778, 236764, 236800, 236771, 236771, 236761, 13472, 236764, 564, 1461, 8582, 52379, 580, 3788, 8675, 7972, 21622, 9273, 573, 34499, 43008, 236789, 236751, 10022, 236761, 3199, 611, 6060, 672, 7501, 529, 9395, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 1083, 623, 236771, 236771, 236832, 236778, 236810, 827, 623, 41129, 236779, 27163, 1083, 6610, 236778, 236812, 236828, 236810, 236771, 827, 623, 159521, 236779, 27163, 236779, 52447, 1083, 3714, 6460, 236779, 236778, 236810, 236767, 1083, 623, 236812, 236778, 70887, 623, 236778, 236810, 236767, 236779, 236810, 236771, 236767, 1083, 623, 236800, 236810, 70887, 623, 236810, 236771, 236767, 236779, 236832, 236810, 236767, 1083, 623, 236770, 236810, 70887, 623, 236832, 236810, 236767, 236779, 13779, 1083, 623, 236828, 171446, 623, 1516, 236779, 6265, 1083, 623, 236836, 236761, 236773, 236761, 38710, 18445, 236743, 236778, 236771, 236778, 236778, 84338, 236743, 236810, 236772, 16431, 87848, 827, 623, 23184, 1083, 623, 236780, 25653, 527, 44449, 5499, 236787, 2578, 236770, 236778, 236819, 236764, 236771, 236771, 236771, 568, 236778, 236771, 236778, 236800, 10967, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 109654, 236779, 30483, 1083, 236743, 236778, 236825, 236812, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 236780, 236785, 236756, 236771, 236771, 236760, 236800, 1289, 105957, 583, 7455, 527, 51739, 5102, 696, 1958, 3897, 60472, 1109, 68607, 6523, 236785, 236756, 236771, 236771, 12064, 696, 34499, 43008, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 827, 623, 7777, 1083, 623, 96164, 30027, 496, 30027, 1642, 71441, 207202, 9284, 5102, 210408, 496, 759, 116412, 570, 2095, 63518, 696, 15777, 527, 17795, 507, 236764, 591, 53682, 45716, 569, 34499, 43008, 221476, 3714, 3250, 1083, 623, 236863, 714, 236785, 236756, 236771, 236771, 524, 236749, 1301, 6805, 3945, 696, 565, 25653, 527, 236787, 21816, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 570, 105957, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 7455, 527, 51739, 5102, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 67422, 236881, 2234, 236784, 675, 236812, 236810, 236825, 827, 623, 7777, 1083, 623, 127198, 569, 10103, 5311, 53231, 569, 38169, 6523, 236785, 236756, 236771, 236771, 12064, 19825, 53704, 696, 565, 25653, 527, 236764, 86262, 18837, 36992, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 520, 124687, 17662, 5102, 570, 78947, 8868, 86018, 1642, 862, 621, 236756, 236771, 236771, 236744, 236770, 5389, 221476, 3714, 3250, 1083, 623, 60237, 1642, 68607, 6523, 236785, 236756, 236771, 236771, 12064, 555, 19087, 1253, 696, 34499, 43008, 1109, 83663, 12020, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 50188, 227128, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 12027, 236786, 1398, 236832, 236828, 236819, 827, 623, 7777, 1083, 623, 8574, 514, 176309, 696, 494, 236785, 236756, 236771, 236771, 236744, 236819, 6832, 6278, 569, 127540, 7535, 5102, 610, 62800, 570, 68837, 569, 34499, 43008, 236764, 591, 94693, 696, 53231, 176543, 1642, 673, 236785, 236756, 236771, 236771, 236760, 236800, 45893, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 236780, 6552, 236935, 8686, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 3399, 7972, 28516, 2203, 528, 565, 25653, 527, 236787, 108, 236770, 236761, 5213, 13149, 30521, 5774, 568, 45104, 236743, 236771, 236771, 236832, 236778, 236810, 1473, 1018, 107, 139, 236772, 113009, 7094, 236787, 609, 236778, 236812, 236764, 236828, 236810, 236771, 107, 139, 236772, 30521, 5296, 236787, 107, 141, 236772, 8382, 609, 236778, 236810, 236764, 236771, 236771, 236771, 236787, 236743, 236812, 236778, 236908, 107, 141, 236772, 609, 236778, 236810, 236764, 236771, 236771, 236771, 23278, 236810, 236771, 236764, 236771, 236771, 236771, 236787, 236743, 236800, 236810, 236908, 107, 141, 236772, 609, 236810, 236771, 236764, 236771, 236771, 236771, 23278, 236832, 236810, 236764, 236771, 236771, 236771, 236787, 236743, 236770, 236810, 236908, 107, 141, 236772, 609, 236832, 236810, 236764, 236771, 236771, 236771, 87435, 236743, 236828, 236908, 107, 139, 236772, 17690, 236787, 749, 236761, 236773, 236761, 38710, 18445, 236743, 236778, 236771, 236778, 236778, 84338, 236743, 236810, 236772, 16431, 87848, 108, 236778, 236761, 5213, 169667, 86249, 53121, 107, 139, 236772, 236743, 236770, 236770, 236761, 236810, 236908, 50935, 580, 609, 236778, 236764, 236800, 236771, 236771, 578, 5213, 236795, 236778, 236825, 236812, 236761, 236810, 236771, 1018, 107, 139, 236772, 12613, 2561, 7715, 2440, 50935, 236787, 5213, 236795, 236778, 236764, 236810, 236825, 236812, 236761, 236810, 236771, 1018, 108, 236800, 236761, 5213, 53824, 216774, 53121, 107, 139, 236772, 870, 33266, 105957, 583, 7455, 527, 51739, 5102, 696, 1958, 3897, 60472, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 56660, 236770, 236778, 236800, 236768, 138, 107, 141, 236829, 5471, 236772, 2003, 236772, 9340, 8214, 573, 20511, 236772, 36954, 8675, 21622, 1699, 2263, 9206, 5417, 236829, 107, 139, 107, 139, 236772, 870, 236863, 714, 7893, 1301, 6805, 3945, 696, 565, 25653, 527, 144095, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 67422, 236881, 2234, 236784, 675, 236812, 236810, 236825, 236768, 138, 107, 141, 236829, 29698, 14086, 9050, 3863, 6799, 532, 30849, 573, 565, 25653, 527, 5699, 236829, 107, 139, 107, 139, 236772, 870, 174779, 166858, 33879, 9206, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 12027, 236786, 1398, 236832, 236828, 236819, 236768, 138, 107, 141, 236829, 18842, 10317, 580, 10974, 236772, 18865, 8403, 573, 34499, 129379, 9295, 236786, 66518, 236829, 108, 818, 20522, 7094, 1262, 532, 7094, 5296, 14906, 1374, 577, 6412, 11045, 573, 822, 19312, 7224, 3739, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 1027, 3530, 3336, 529, 822, 7224, 15523, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1502, 10299, 1610, 7694, 657, 506, 3399, 3988, 236764, 840, 1202, 17075, 14767, 236761, 28344, 611, 2426, 9593, 573, 506, 1791, 236772, 70442, 21256, 17133, 532, 5117, 236772, 9619, 35740, 42145, 600, 2036, 735, 1535, 10595, 236881, 564, 1461, 531, 1386, 2889, 564, 974, 3325, 5417, 2180, 15512, 506, 4856, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 123253, 236767, 688, 27847, 56232, 7167, 236764, 11830, 20864, 236764, 25093, 236764, 236743, 236819, 1123, 236743, 236770, 236812, 219573, 827, 623, 9707, 1083, 6610, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 753, 13946, 161465, 23179, 3714, 3250, 1083, 623, 236780, 43705, 58887, 12142, 56232, 7167, 236764, 236743, 236819, 1123, 236743, 236770, 236778, 219573, 236764, 236743, 236810, 236771, 89639, 827, 623, 9707, 1083, 6610, 236832, 236761, 236812, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 66850, 1083, 236743, 236828, 236819, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 753, 13946, 161465, 23179, 3714, 3250, 1083, 623, 11267, 651, 5576, 236743, 236812, 236771, 236771, 12142, 56232, 22059, 236764, 236743, 236770, 236770, 1123, 236743, 236770, 236812, 219573, 236764, 236743, 236810, 236771, 89639, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 66850, 1083, 236743, 236825, 236832, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 753, 13946, 161465, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 27617, 1083, 623, 38556, 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, 108, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 236792, 1310, 535, 15755, 102371, 35713, 5833, 753, 236743, 236778, 236812, 167132, 19870, 236764, 32971, 742, 833, 29785, 742, 827, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 623, 236812, 236761, 236825, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 3250, 1083, 623, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 753, 236743, 236770, 236778, 3261, 19798, 19870, 573, 159088, 827, 623, 9707, 1083, 6610, 236819, 236761, 236832, 236810, 827, 623, 13126, 1083, 623, 236812, 236761, 236812, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 3250, 1083, 623, 11898, 56232, 3070, 753, 236743, 236819, 236781, 236770, 236778, 106910, 236764, 236743, 236770, 236812, 236771, 23909, 39591, 6078, 65371, 11701, 16850, 236764, 236743, 236825, 236771, 89639, 827, 623, 9707, 1083, 6610, 236832, 236761, 236819, 236819, 827, 623, 13126, 1083, 623, 236812, 236761, 236810, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 2416, 1263, 3714, 3250, 1083, 623, 39460, 13060, 1229, 102371, 35713, 5833, 753, 236743, 236770, 236778, 58178, 19870, 607, 48257, 15806, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236812, 236819, 827, 623, 13126, 1083, 623, 236812, 236761, 236800, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236832, 236764, 623, 65141, 524, 236779, 28881, 1083, 11058, 14713, 609, 236770, 236771, 827, 623, 236812, 30155, 833, 5827, 827, 623, 40090, 161465, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1070, 17075, 236764, 6112, 236772, 7577, 3835, 573, 822, 1610, 1012, 14767, 236787, 108, 1018, 101915, 17133, 53121, 107, 236770, 236761, 5213, 236780, 43705, 58887, 12142, 56232, 7167, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236832, 236761, 236812, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236810, 568, 236828, 236819, 236771, 10595, 236768, 138, 107, 139, 236772, 19511, 236787, 236743, 236819, 1123, 236743, 236770, 236778, 219573, 236764, 236743, 236810, 236771, 89639, 138, 108, 236778, 236761, 5213, 11267, 651, 5576, 236743, 236812, 236771, 236771, 12142, 56232, 22059, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236825, 568, 236825, 236832, 236771, 10595, 236768, 138, 107, 139, 236772, 19511, 236787, 236743, 236770, 236770, 1123, 236743, 236770, 236812, 219573, 236764, 236743, 236810, 236771, 89639, 138, 108, 1018, 11898, 236772, 44184, 102371, 172012, 53121, 138, 107, 236770, 236761, 5213, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236819, 236761, 236832, 236810, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236812, 138, 107, 139, 236772, 49308, 236787, 236743, 236770, 236778, 3261, 19798, 19870, 138, 108, 236778, 236761, 5213, 39460, 13060, 1229, 102371, 35713, 5833, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236761, 236812, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236800, 138, 107, 139, 236772, 49308, 236787, 236743, 236770, 236778, 58178, 19870, 900, 48257, 15806, 138, 108, 3243, 3835, 659, 13946, 236772, 90190, 573, 4592, 12631, 236761, 669, 565, 43705, 223666, 532, 196824, 4395, 42145, 2729, 506, 1791, 7002, 529, 101366, 532, 3325, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 19276, 19317, 1131, 3530, 3211, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 4068, 1694, 236888, 28344, 611, 2426, 506, 5396, 10595, 573, 506, 1903, 236772, 7577, 223666, 568, 236780, 43705, 58887, 12142, 236768, 532, 506, 196824, 4395, 35740, 1076, 236881, 564, 1461, 531, 1281, 768, 993, 659, 1027, 53552, 24764, 1003, 3627, 3325, 653, 6554, 25725, 236764, 4285, 2338, 1239, 795, 577, 1456, 684, 50415, 236761, 6542, 236764, 659, 993, 1027, 11497, 5384, 1133, 12631, 12412, 653, 23627, 6035, 573, 506, 1791, 6527, 236881, 106, 107, 105, 4368, 107, 2021, 2426, 506, 9813, 10595, 573, 506, 5213, 236780, 43705, 58887, 12142, 56232, 7167, 1018, 532, 5213, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 125546, 692, 236858, 236753, 1202, 910, 3530, 9593, 1698, 62606, 568, 236744, 236761, 236759, 1126, 2165, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 59740, 837, 964, 711, 5012, 528, 506, 3927, 2536, 236761, 20044, 236764, 564, 3914, 5467, 33205, 1698, 62606, 653, 10595, 2180, 672, 1938, 236761, 1599, 740, 2426, 910, 2587, 10595, 580, 9593, 236858, 236751, 1698, 7704, 653, 1531, 786, 1281, 768, 611, 236858, 236753, 1133, 14984, 580, 1217, 531, 8701, 1698, 62606, 699, 9593, 60973, 236761, 108, 10354, 60035, 56484, 833, 33197, 236787, 107, 236772, 5213, 58582, 66515, 10508, 4852, 659, 5213, 40090, 236772, 90190, 125546, 834, 901, 29790, 573, 2196, 12631, 607, 13946, 236761, 19446, 13946, 236764, 4077, 12631, 12412, 1149, 5510, 568, 116645, 609, 236810, 236964, 236795, 236770, 236771, 573, 1944, 4852, 769, 107, 236772, 5213, 58179, 66515, 2301, 23627, 563, 3149, 573, 506, 9456, 6527, 237028, 39441, 659, 61861, 25663, 236761, 107, 236772, 5213, 236774, 31307, 66515, 37341, 33207, 5886, 3869, 236764, 837, 795, 5510, 657, 42290, 2721, 580, 822, 4563, 236761, 108, 2542, 3540, 19317, 236764, 3364, 52766, 10928, 607, 21256, 17133, 3204, 3627, 7595, 568, 38574, 10887, 236786, 45493, 236768, 653, 84561, 236772, 17429, 607, 11474, 4009, 236761, 1701, 35740, 236751, 236764, 4342, 1133, 11202, 25725, 653, 2258, 74354, 1149, 21426, 236764, 840, 196824, 4395, 563, 6816, 13451, 573, 50415, 236761, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 48727, 625, 236888, 5612, 692, 1202, 1698, 62606, 531, 3137, 1131, 506, 10595, 236764, 1451, 611, 8214, 786, 580, 1217, 531, 1586, 1091, 699, 9593, 60973, 236881, 564, 236858, 236757, 711, 2393, 14896, 236772, 187711, 236764, 840, 564, 236858, 859, 2056, 236761, 41433, 236764, 1451, 611, 3927, 9593, 1570, 573, 506, 4453, 19293, 237028, 1018, 236780, 43705, 58887, 12142, 56232, 7167, 568, 236819, 236781, 236770, 236778, 219573, 62902, 532, 5213, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 568, 236770, 236778, 7913, 62902, 237028, 1071, 8091, 910, 62606, 532, 1299, 2426, 506, 10595, 236881, 564, 1461, 531, 1386, 2889, 506, 3627, 5889, 236858, 236745, 2311, 163341, 573, 50415, 236858, 30368, 236786, 4873, 32981, 981, 532, 600, 506, 42145, 1537, 236858, 236745, 11890, 653, 15066, 855, 5583, 236761, 106, 107, 105, 4368, 107, 117494, 236888, 5715, 236858, 236751, 496, 3606, 25890, 531, 1601, 611, 1586, 9593, 1698, 62606, 532, 7162, 607, 16329, 10595, 236787, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 9100, 506, 7303, 5853, 568, 2371, 1204, 62902, 138, 107, 39460, 1698, 62606, 568, 15110, 9447, 1204, 236751, 236768, 659, 11082, 5213, 236828, 236964, 236770, 236771, 2872, 142585, 17253, 1018, 1765, 528, 506, 1698, 3104, 10739, 236761, 5715, 236858, 236751, 1217, 531, 29888, 1091, 236787, 138, 107, 236770, 236761, 5213, 5988, 531, 506, 1698, 3104, 1018, 568, 2305, 9593, 573, 506, 4453, 3822, 236787, 138, 107, 139, 236772, 2165, 236780, 43705, 58887, 12142, 56232, 7167, 568, 236819, 236781, 236770, 236778, 219573, 54557, 138, 107, 139, 236772, 2165, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 568, 236770, 236778, 7913, 54557, 138, 107, 236778, 236761, 5213, 6845, 506, 10739, 1018, 528, 506, 3421, 3029, 236761, 1701, 2591, 236787, 138, 107, 139, 236772, 10739, 236787, 2165, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 236786, 1811, 236784, 1390, 236929, 138, 107, 139, 236772, 5213, 7163, 5853, 1018, 578, 2165, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 236929, 568, 1437, 912, 1308, 86072, 19615, 236786, 59395, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 19148, 506, 7303, 62606, 607, 3060, 1018, 138, 107, 14946, 611, 735, 506, 62606, 568, 236744, 236761, 236759, 1126, 2165, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 59740, 15148, 607, 1091, 236764, 532, 564, 236858, 859, 33205, 506, 5213, 10602, 10595, 1018, 531, 2426, 573, 24764, 1003, 236787, 138, 107, 236772, 5213, 101915, 3070, 3627, 3325, 1018, 568, 236744, 236761, 236759, 1126, 1378, 9638, 1583, 236764, 84561, 236772, 17429, 607, 30368, 236786, 4873, 32981, 769, 138, 107, 236772, 5213, 233963, 6554, 25725, 1018, 568, 236744, 236761, 236759, 1126, 51364, 236764, 20361, 855, 769, 138, 108, 7243, 108, 10354, 5213, 93993, 236787, 3792, 3060, 12808, 573, 506, 62606, 1018, 138, 107, 2859, 611, 236858, 236753, 5278, 236764, 564, 740, 3927, 9593, 1570, 573, 506, 4453, 19293, 531, 2056, 76727, 506, 62606, 236761, 3153, 236764, 9593, 236858, 236751, 3927, 2536, 1537, 236858, 236745, 2462, 3204, 9447, 1204, 236751, 528, 506, 1262, 564, 740, 2802, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 786, 531, 2056, 236888, 138, 108, 7243, 108, 10354, 5213, 11069, 34742, 1018, 138, 107, 236770, 236761, 5213, 13733, 236743, 236770, 66515, 564, 236858, 859, 3927, 9593, 1570, 573, 506, 4453, 19293, 531, 1586, 506, 62606, 236761, 138, 107, 236778, 236761, 5213, 13733, 236743, 236778, 66515, 1599, 24473, 1586, 506, 62606, 568, 3091, 506, 10739, 1996, 2787, 236768, 532, 4024, 1091, 236761, 138, 108, 24249, 4146, 1791, 573, 611, 236881, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1502, 10299, 1610, 7694, 657, 506, 3399, 3988, 236764, 840, 1202, 17075, 14767, 236761, 28344, 611, 2426, 9593, 573, 506, 1791, 236772, 70442, 21256, 17133, 532, 5117, 236772, 9619, 35740, 42145, 600, 2036, 735, 1535, 10595, 236881, 564, 1461, 531, 1386, 2889, 564, 974, 3325, 5417, 2180, 15512, 506, 4856, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 123253, 236767, 688, 27847, 56232, 7167, 236764, 11830, 20864, 236764, 25093, 236764, 236743, 236819, 1123, 236743, 236770, 236812, 219573, 827, 623, 9707, 1083, 6610, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 66850, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 753, 13946, 161465, 23179, 3714, 3250, 1083, 623, 236780, 43705, 58887, 12142, 56232, 7167, 236764, 236743, 236819, 1123, 236743, 236770, 236778, 219573, 236764, 236743, 236810, 236771, 89639, 827, 623, 9707, 1083, 6610, 236832, 236761, 236812, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 66850, 1083, 236743, 236828, 236819, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 753, 13946, 161465, 23179, 3714, 3250, 1083, 623, 11267, 651, 5576, 236743, 236812, 236771, 236771, 12142, 56232, 22059, 236764, 236743, 236770, 236770, 1123, 236743, 236770, 236812, 219573, 236764, 236743, 236810, 236771, 89639, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 66850, 1083, 236743, 236825, 236832, 236771, 236764, 623, 56905, 1083, 623, 902, 13827, 753, 13946, 161465, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 27617, 1083, 623, 38556, 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, 108, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 3250, 1083, 623, 236792, 1310, 535, 15755, 102371, 35713, 5833, 753, 236743, 236778, 236812, 167132, 19870, 236764, 32971, 742, 833, 29785, 742, 827, 623, 9707, 1083, 6610, 236770, 236812, 236761, 236819, 236819, 827, 623, 13126, 1083, 623, 236812, 236761, 236825, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 3250, 1083, 623, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 753, 236743, 236770, 236778, 3261, 19798, 19870, 573, 159088, 827, 623, 9707, 1083, 6610, 236819, 236761, 236832, 236810, 827, 623, 13126, 1083, 623, 236812, 236761, 236812, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 3250, 1083, 623, 11898, 56232, 3070, 753, 236743, 236819, 236781, 236770, 236778, 106910, 236764, 236743, 236770, 236812, 236771, 23909, 39591, 6078, 65371, 11701, 16850, 236764, 236743, 236825, 236771, 89639, 827, 623, 9707, 1083, 6610, 236832, 236761, 236819, 236819, 827, 623, 13126, 1083, 623, 236812, 236761, 236810, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 2416, 1263, 3714, 3250, 1083, 623, 39460, 13060, 1229, 102371, 35713, 5833, 753, 236743, 236770, 236778, 58178, 19870, 607, 48257, 15806, 827, 623, 9707, 1083, 6610, 236770, 236778, 236761, 236812, 236819, 827, 623, 13126, 1083, 623, 236812, 236761, 236800, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236832, 236764, 623, 65141, 524, 236779, 28881, 1083, 11058, 14713, 609, 236770, 236771, 827, 623, 236812, 30155, 833, 5827, 827, 623, 40090, 161465, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1070, 17075, 236764, 6112, 236772, 7577, 3835, 573, 822, 1610, 1012, 14767, 236787, 108, 1018, 101915, 17133, 53121, 107, 236770, 236761, 5213, 236780, 43705, 58887, 12142, 56232, 7167, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236832, 236761, 236812, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236810, 568, 236828, 236819, 236771, 10595, 236768, 138, 107, 139, 236772, 19511, 236787, 236743, 236819, 1123, 236743, 236770, 236778, 219573, 236764, 236743, 236810, 236771, 89639, 138, 108, 236778, 236761, 5213, 11267, 651, 5576, 236743, 236812, 236771, 236771, 12142, 56232, 22059, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236825, 568, 236825, 236832, 236771, 10595, 236768, 138, 107, 139, 236772, 19511, 236787, 236743, 236770, 236770, 1123, 236743, 236770, 236812, 219573, 236764, 236743, 236810, 236771, 89639, 138, 108, 1018, 11898, 236772, 44184, 102371, 172012, 53121, 138, 107, 236770, 236761, 5213, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236819, 236761, 236832, 236810, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236812, 138, 107, 139, 236772, 49308, 236787, 236743, 236770, 236778, 3261, 19798, 19870, 138, 108, 236778, 236761, 5213, 39460, 13060, 1229, 102371, 35713, 5833, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236761, 236812, 236819, 138, 107, 139, 236772, 47240, 236787, 136723, 236812, 236761, 236800, 138, 107, 139, 236772, 49308, 236787, 236743, 236770, 236778, 58178, 19870, 900, 48257, 15806, 138, 108, 3243, 3835, 659, 13946, 236772, 90190, 573, 4592, 12631, 236761, 669, 565, 43705, 223666, 532, 196824, 4395, 42145, 2729, 506, 1791, 7002, 529, 101366, 532, 3325, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 19276, 19317, 1131, 3530, 3211, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 4068, 1694, 236888, 28344, 611, 2426, 506, 5396, 10595, 573, 506, 1903, 236772, 7577, 223666, 568, 236780, 43705, 58887, 12142, 236768, 532, 506, 196824, 4395, 35740, 1076, 236881, 564, 1461, 531, 1281, 768, 993, 659, 1027, 53552, 24764, 1003, 3627, 3325, 653, 6554, 25725, 236764, 4285, 2338, 1239, 795, 577, 1456, 684, 50415, 236761, 6542, 236764, 659, 993, 1027, 11497, 5384, 1133, 12631, 12412, 653, 23627, 6035, 573, 506, 1791, 6527, 236881, 106, 107, 105, 4368, 107, 2021, 2426, 506, 9813, 10595, 573, 506, 5213, 236780, 43705, 58887, 12142, 56232, 7167, 1018, 532, 5213, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 125546, 692, 236858, 236753, 1202, 910, 3530, 9593, 1698, 62606, 568, 236744, 236761, 236759, 1126, 2165, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 59740, 837, 964, 711, 5012, 528, 506, 3927, 2536, 236761, 20044, 236764, 564, 3914, 5467, 33205, 1698, 62606, 653, 10595, 2180, 672, 1938, 236761, 1599, 740, 2426, 910, 2587, 10595, 580, 9593, 236858, 236751, 1698, 7704, 653, 1531, 786, 1281, 768, 611, 236858, 236753, 1133, 14984, 580, 1217, 531, 8701, 1698, 62606, 699, 9593, 60973, 236761, 108, 10354, 60035, 56484, 833, 33197, 236787, 107, 236772, 5213, 58582, 66515, 10508, 4852, 659, 5213, 40090, 236772, 90190, 125546, 834, 901, 29790, 573, 2196, 12631, 607, 13946, 236761, 19446, 13946, 236764, 4077, 12631, 12412, 1149, 5510, 568, 116645, 609, 236810, 236964, 236795, 236770, 236771, 573, 1944, 4852, 769, 107, 236772, 5213, 58179, 66515, 2301, 23627, 563, 3149, 573, 506, 9456, 6527, 237028, 39441, 659, 61861, 25663, 236761, 107, 236772, 5213, 236774, 31307, 66515, 37341, 33207, 5886, 3869, 236764, 837, 795, 5510, 657, 42290, 2721, 580, 822, 4563, 236761, 108, 2542, 3540, 19317, 236764, 3364, 52766, 10928, 607, 21256, 17133, 3204, 3627, 7595, 568, 38574, 10887, 236786, 45493, 236768, 653, 84561, 236772, 17429, 607, 11474, 4009, 236761, 1701, 35740, 236751, 236764, 4342, 1133, 11202, 25725, 653, 2258, 74354, 1149, 21426, 236764, 840, 196824, 4395, 563, 6816, 13451, 573, 50415, 236761, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 48727, 625, 236888, 5612, 692, 1202, 1698, 62606, 531, 3137, 1131, 506, 10595, 236764, 1451, 611, 8214, 786, 580, 1217, 531, 1586, 1091, 699, 9593, 60973, 236881, 564, 236858, 236757, 711, 2393, 14896, 236772, 187711, 236764, 840, 564, 236858, 859, 2056, 236761, 41433, 236764, 1451, 611, 3927, 9593, 1570, 573, 506, 4453, 19293, 237028, 1018, 236780, 43705, 58887, 12142, 56232, 7167, 568, 236819, 236781, 236770, 236778, 219573, 62902, 532, 5213, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 568, 236770, 236778, 7913, 62902, 237028, 1071, 8091, 910, 62606, 532, 1299, 2426, 506, 10595, 236881, 564, 1461, 531, 1386, 2889, 506, 3627, 5889, 236858, 236745, 2311, 163341, 573, 50415, 236858, 30368, 236786, 4873, 32981, 981, 532, 600, 506, 42145, 1537, 236858, 236745, 11890, 653, 15066, 855, 5583, 236761, 106, 107, 105, 4368, 107, 117494, 236888, 5715, 236858, 236751, 496, 3606, 25890, 531, 1601, 611, 1586, 9593, 1698, 62606, 532, 7162, 607, 16329, 10595, 236787, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 9100, 506, 7303, 5853, 568, 2371, 1204, 62902, 138, 107, 39460, 1698, 62606, 568, 15110, 9447, 1204, 236751, 236768, 659, 11082, 5213, 236828, 236964, 236770, 236771, 2872, 142585, 17253, 1018, 1765, 528, 506, 1698, 3104, 10739, 236761, 5715, 236858, 236751, 1217, 531, 29888, 1091, 236787, 138, 107, 236770, 236761, 5213, 5988, 531, 506, 1698, 3104, 1018, 568, 2305, 9593, 573, 506, 4453, 3822, 236787, 138, 107, 139, 236772, 2165, 236780, 43705, 58887, 12142, 56232, 7167, 568, 236819, 236781, 236770, 236778, 219573, 54557, 138, 107, 139, 236772, 2165, 236780, 1254, 4395, 102371, 35713, 12155, 13079, 568, 236770, 236778, 7913, 54557, 138, 107, 236778, 236761, 5213, 6845, 506, 10739, 1018, 528, 506, 3421, 3029, 236761, 1701, 2591, 236787, 138, 107, 139, 236772, 10739, 236787, 2165, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 236786, 1811, 236784, 1390, 236929, 138, 107, 139, 236772, 5213, 7163, 5853, 1018, 578, 2165, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 236929, 568, 1437, 912, 1308, 86072, 19615, 236786, 59395, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 19148, 506, 7303, 62606, 607, 3060, 1018, 138, 107, 14946, 611, 735, 506, 62606, 568, 236744, 236761, 236759, 1126, 2165, 236799, 236771, 236819, 185763, 39773, 236935, 32118, 59740, 15148, 607, 1091, 236764, 532, 564, 236858, 859, 33205, 506, 5213, 10602, 10595, 1018, 531, 2426, 573, 24764, 1003, 236787, 138, 107, 236772, 5213, 101915, 3070, 3627, 3325, 1018, 568, 236744, 236761, 236759, 1126, 1378, 9638, 1583, 236764, 84561, 236772, 17429, 607, 30368, 236786, 4873, 32981, 769, 138, 107, 236772, 5213, 233963, 6554, 25725, 1018, 568, 236744, 236761, 236759, 1126, 51364, 236764, 20361, 855, 769, 138, 108, 7243, 108, 10354, 5213, 93993, 236787, 3792, 3060, 12808, 573, 506, 62606, 1018, 138, 107, 2859, 611, 236858, 236753, 5278, 236764, 564, 740, 3927, 9593, 1570, 573, 506, 4453, 19293, 531, 2056, 76727, 506, 62606, 236761, 3153, 236764, 9593, 236858, 236751, 3927, 2536, 1537, 236858, 236745, 2462, 3204, 9447, 1204, 236751, 528, 506, 1262, 564, 740, 2802, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 786, 531, 2056, 236888, 138, 108, 7243, 108, 10354, 5213, 11069, 34742, 1018, 138, 107, 236770, 236761, 5213, 13733, 236743, 236770, 66515, 564, 236858, 859, 3927, 9593, 1570, 573, 506, 4453, 19293, 531, 1586, 506, 62606, 236761, 138, 107, 236778, 236761, 5213, 13733, 236743, 236778, 66515, 1599, 24473, 1586, 506, 62606, 568, 3091, 506, 10739, 1996, 2787, 236768, 532, 4024, 1091, 236761, 138, 108, 24249, 4146, 1791, 573, 611, 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, 4875, 531, 3050, 506, 5527, 3439, 573, 1041, 3402, 33443, 1960, 2731, 236761, 5315, 236764, 564, 1202, 531, 18840, 506, 6422, 9023, 1262, 573, 506, 3068, 3493, 1518, 531, 1460, 506, 6782, 7003, 236761, 4298, 236764, 2721, 580, 600, 236764, 564, 1461, 531, 17318, 506, 236743, 236770, 236771, 236772, 3704, 36779, 4652, 236772, 6796, 3136, 528, 8052, 236761, 2024, 564, 236789, 236757, 711, 2889, 1217, 531, 3371, 1239, 6555, 653, 768, 564, 1202, 531, 6253, 506, 36779, 2846, 2721, 580, 506, 6422, 9023, 12396, 236761, 3199, 611, 1601, 786, 981, 1343, 672, 7501, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236810, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236778, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236778, 236828, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236770, 236810, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 104960, 623, 236778, 236771, 236770, 236819, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236770, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236819, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236800, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236832, 236778, 104960, 623, 236778, 236771, 236778, 236771, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236825, 236778, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236832, 236770, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236810, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236771, 236810, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236825, 236770, 104960, 623, 236778, 236771, 236778, 236770, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236828, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236825, 236810, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236778, 236778, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236778, 236770, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 104960, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 236743, 236770, 236761, 236778, 236810, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236778, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 236743, 236770, 236761, 236828, 236819, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236800, 236812, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236832, 236828, 104960, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236828, 236810, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236825, 236832, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236812, 236770, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236778, 236828, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236770, 236810, 200808, 623, 21052, 1083, 3714, 27617, 1083, 623, 79271, 827, 623, 159358, 1083, 11058, 54476, 57790, 827, 623, 54389, 58041, 14255, 623, 161163, 236779, 8889, 1083, 623, 125749, 236772, 49994, 12281, 236772, 236773, 19901, 1588, 827, 623, 127991, 1083, 11058, 236778, 236771, 236778, 236771, 6224, 7495, 10248, 2436, 102122, 827, 623, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 47853, 22136, 111358, 74721, 8881, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 2289, 236779, 22894, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236812, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 753, 236771, 236761, 236771, 236771, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236770, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236770, 236778, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 236770, 236810, 104960, 623, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 134175, 1083, 623, 79271, 11343, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 6422, 9023, 532, 236743, 236770, 236771, 236772, 3704, 4652, 236772, 6796, 3136, 15067, 573, 822, 33443, 1960, 6995, 236787, 108, 1018, 100153, 79104, 48993, 568, 236778, 236771, 236770, 236828, 236772, 236778, 236771, 236778, 236800, 1473, 1018, 107, 236770, 236761, 5213, 236778, 236771, 236770, 236828, 236772, 236778, 236771, 236778, 236771, 53121, 799, 21489, 9023, 3759, 25091, 568, 15721, 236772, 6061, 6224, 5676, 236764, 1440, 236772, 6061, 6224, 4414, 840, 45261, 236768, 107, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 53121, 185200, 47853, 86813, 607, 236743, 236770, 236874, 6224, 145739, 657, 236743, 236778, 236761, 236828, 236810, 236908, 1651, 236743, 236770, 236771, 236874, 6224, 11561, 531, 236743, 236778, 236761, 236778, 236828, 236908, 107, 236800, 236761, 5213, 3503, 53575, 53121, 236743, 236778, 236771, 236778, 236778, 11373, 496, 13805, 1523, 607, 111358, 74721, 8881, 14260, 17110, 47853, 108, 1018, 236770, 236771, 236772, 16431, 32180, 236772, 15370, 25870, 13768, 53121, 107, 236772, 5213, 26834, 10654, 53121, 753, 236771, 236761, 236800, 236810, 236908, 528, 236743, 236778, 236771, 236778, 236771, 568, 93913, 2846, 236768, 107, 236772, 5213, 85901, 53121, 236743, 236778, 236761, 236800, 236812, 236908, 528, 236743, 236778, 236771, 236778, 236778, 568, 5856, 236799, 74721, 236768, 107, 236772, 5213, 8782, 16575, 53121, 236743, 236778, 236761, 236770, 236810, 236908, 618, 529, 236743, 236778, 236771, 236778, 236800, 107, 236772, 5213, 33062, 14376, 53121, 900, 236778, 236810, 236771, 5150, 3298, 3553, 2338, 236743, 236778, 236771, 236778, 236771, 108, 1018, 17844, 103057, 53121, 107, 236770, 236761, 5213, 15929, 8146, 56484, 53121, 236743, 107, 139, 236772, 236743, 236770, 236771, 236874, 10670, 6224, 4869, 2578, 236778, 236810, 236771, 187046, 2338, 236743, 236778, 236771, 236778, 236771, 107, 139, 236772, 14066, 6530, 236772, 4720, 22617, 657, 1873, 2578, 236778, 236761, 236770, 236810, 236908, 4535, 107, 236778, 236761, 5213, 38168, 40242, 53121, 107, 139, 236772, 799, 21489, 9023, 12205, 5527, 90101, 568, 14786, 4208, 86125, 11704, 236768, 107, 139, 236772, 236743, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 3136, 71634, 1451, 6439, 11713, 10670, 15830, 107, 236800, 236761, 5213, 84460, 56952, 53121, 107, 139, 236772, 236743, 236770, 236771, 236874, 36779, 7474, 7798, 573, 1440, 236772, 6061, 1960, 6995, 107, 139, 236772, 14040, 3136, 3453, 22136, 236743, 236770, 236810, 236772, 3704, 1494, 568, 25142, 236743, 236778, 236771, 236771, 236828, 236768, 108, 1018, 211199, 53121, 107, 166062, 3213, 580, 506, 236743, 236770, 236771, 236874, 36779, 573, 822, 1960, 2731, 236761, 669, 111358, 236789, 236751, 74721, 8881, 7412, 531, 577, 145739, 236764, 3043, 1873, 6224, 496, 10559, 5150, 573, 35719, 236761, 14066, 5013, 236772, 17541, 822, 2028, 607, 236743, 236778, 236761, 236810, 236519, 1440, 236772, 6061, 6224, 618, 496, 69148, 2342, 3342, 74721, 236761, 108, 38786, 611, 1133, 531, 17318, 3530, 1518, 528, 919, 8052, 653, 10769, 607, 1032, 36779, 13443, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 3050, 506, 5527, 3439, 573, 1041, 3402, 33443, 1960, 2731, 236761, 5315, 236764, 564, 1202, 531, 18840, 506, 6422, 9023, 1262, 573, 506, 3068, 3493, 1518, 531, 1460, 506, 6782, 7003, 236761, 4298, 236764, 2721, 580, 600, 236764, 564, 1461, 531, 17318, 506, 236743, 236770, 236771, 236772, 3704, 36779, 4652, 236772, 6796, 3136, 528, 8052, 236761, 2024, 564, 236789, 236757, 711, 2889, 1217, 531, 3371, 1239, 6555, 653, 768, 564, 1202, 531, 6253, 506, 36779, 2846, 2721, 580, 506, 6422, 9023, 12396, 236761, 3199, 611, 1601, 786, 981, 1343, 672, 7501, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236810, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236778, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236778, 236828, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236770, 236810, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236832, 236828, 104960, 623, 236778, 236771, 236770, 236819, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236770, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236819, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236800, 236800, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236832, 236778, 104960, 623, 236778, 236771, 236778, 236771, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236825, 236778, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236832, 236770, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236812, 236810, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236771, 236810, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236825, 236770, 104960, 623, 236778, 236771, 236778, 236770, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236810, 236828, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236825, 236810, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 753, 236771, 236761, 236778, 236778, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236778, 236770, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 104960, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 236743, 236770, 236761, 236778, 236810, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236778, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 236743, 236770, 236761, 236828, 236819, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236800, 236812, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236832, 236828, 104960, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 1083, 78493, 230023, 1083, 623, 236770, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236828, 236810, 1263, 3714, 230023, 1083, 623, 236778, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236825, 236832, 1263, 3714, 230023, 1083, 623, 236810, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236812, 236770, 1263, 3714, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236778, 236828, 1263, 3714, 230023, 1083, 623, 236800, 236771, 236874, 827, 623, 4720, 1083, 236743, 236778, 236761, 236770, 236810, 200808, 623, 21052, 1083, 3714, 27617, 1083, 623, 79271, 827, 623, 159358, 1083, 11058, 54476, 57790, 827, 623, 54389, 58041, 14255, 623, 161163, 236779, 8889, 1083, 623, 125749, 236772, 49994, 12281, 236772, 236773, 19901, 1588, 827, 623, 127991, 1083, 11058, 236778, 236771, 236778, 236771, 6224, 7495, 10248, 2436, 102122, 827, 623, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 47853, 22136, 111358, 74721, 8881, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 2289, 236779, 22894, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236812, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 753, 236771, 236761, 236771, 236771, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236770, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236770, 236778, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 37716, 236779, 6796, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 236770, 236810, 104960, 623, 230023, 1083, 623, 236770, 236771, 236874, 827, 623, 134175, 1083, 623, 79271, 11343, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 6422, 9023, 532, 236743, 236770, 236771, 236772, 3704, 4652, 236772, 6796, 3136, 15067, 573, 822, 33443, 1960, 6995, 236787, 108, 1018, 100153, 79104, 48993, 568, 236778, 236771, 236770, 236828, 236772, 236778, 236771, 236778, 236800, 1473, 1018, 107, 236770, 236761, 5213, 236778, 236771, 236770, 236828, 236772, 236778, 236771, 236778, 236771, 53121, 799, 21489, 9023, 3759, 25091, 568, 15721, 236772, 6061, 6224, 5676, 236764, 1440, 236772, 6061, 6224, 4414, 840, 45261, 236768, 107, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 53121, 185200, 47853, 86813, 607, 236743, 236770, 236874, 6224, 145739, 657, 236743, 236778, 236761, 236828, 236810, 236908, 1651, 236743, 236770, 236771, 236874, 6224, 11561, 531, 236743, 236778, 236761, 236778, 236828, 236908, 107, 236800, 236761, 5213, 3503, 53575, 53121, 236743, 236778, 236771, 236778, 236778, 11373, 496, 13805, 1523, 607, 111358, 74721, 8881, 14260, 17110, 47853, 108, 1018, 236770, 236771, 236772, 16431, 32180, 236772, 15370, 25870, 13768, 53121, 107, 236772, 5213, 26834, 10654, 53121, 753, 236771, 236761, 236800, 236810, 236908, 528, 236743, 236778, 236771, 236778, 236771, 568, 93913, 2846, 236768, 107, 236772, 5213, 85901, 53121, 236743, 236778, 236761, 236800, 236812, 236908, 528, 236743, 236778, 236771, 236778, 236778, 568, 5856, 236799, 74721, 236768, 107, 236772, 5213, 8782, 16575, 53121, 236743, 236778, 236761, 236770, 236810, 236908, 618, 529, 236743, 236778, 236771, 236778, 236800, 107, 236772, 5213, 33062, 14376, 53121, 900, 236778, 236810, 236771, 5150, 3298, 3553, 2338, 236743, 236778, 236771, 236778, 236771, 108, 1018, 17844, 103057, 53121, 107, 236770, 236761, 5213, 15929, 8146, 56484, 53121, 236743, 107, 139, 236772, 236743, 236770, 236771, 236874, 10670, 6224, 4869, 2578, 236778, 236810, 236771, 187046, 2338, 236743, 236778, 236771, 236778, 236771, 107, 139, 236772, 14066, 6530, 236772, 4720, 22617, 657, 1873, 2578, 236778, 236761, 236770, 236810, 236908, 4535, 107, 236778, 236761, 5213, 38168, 40242, 53121, 107, 139, 236772, 799, 21489, 9023, 12205, 5527, 90101, 568, 14786, 4208, 86125, 11704, 236768, 107, 139, 236772, 236743, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 3136, 71634, 1451, 6439, 11713, 10670, 15830, 107, 236800, 236761, 5213, 84460, 56952, 53121, 107, 139, 236772, 236743, 236770, 236771, 236874, 36779, 7474, 7798, 573, 1440, 236772, 6061, 1960, 6995, 107, 139, 236772, 14040, 3136, 3453, 22136, 236743, 236770, 236810, 236772, 3704, 1494, 568, 25142, 236743, 236778, 236771, 236771, 236828, 236768, 108, 1018, 211199, 53121, 107, 166062, 3213, 580, 506, 236743, 236770, 236771, 236874, 36779, 573, 822, 1960, 2731, 236761, 669, 111358, 236789, 236751, 74721, 8881, 7412, 531, 577, 145739, 236764, 3043, 1873, 6224, 496, 10559, 5150, 573, 35719, 236761, 14066, 5013, 236772, 17541, 822, 2028, 607, 236743, 236778, 236761, 236810, 236519, 1440, 236772, 6061, 6224, 618, 496, 69148, 2342, 3342, 74721, 236761, 108, 38786, 611, 1133, 531, 17318, 3530, 1518, 528, 919, 8052, 653, 10769, 607, 1032, 36779, 13443, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 1041, 60898, 1385, 1131, 11691, 496, 1456, 35312, 236764, 532, 692, 236789, 500, 4875, 531, 16807, 506, 7500, 236789, 236751, 4083, 236761, 669, 20925, 3847, 496, 77648, 840, 564, 236789, 236753, 1133, 531, 2426, 768, 625, 236789, 236751, 4341, 532, 974, 1070, 4889, 580, 506, 9685, 236761, 3199, 611, 1845, 496, 77648, 2426, 573, 786, 236881, 106, 107, 105, 4368, 107, 2021, 16807, 506, 7500, 236789, 236751, 4083, 532, 4889, 236764, 564, 236789, 859, 1202, 506, 236743, 236770, 236832, 236772, 18857, 77648, 3847, 684, 506, 20925, 236761, 28344, 611, 5091, 4024, 506, 77648, 834, 564, 740, 2426, 1061, 28100, 532, 33205, 506, 7500, 1938, 573, 611, 236881, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 77648, 506, 20925, 5877, 775, 236787, 236743, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 236761, 3792, 786, 1281, 1144, 611, 1586, 855, 1003, 672, 16103, 9685, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10383, 1083, 623, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 827, 623, 4730, 1083, 1847, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 236811, 236772, 236770, 236810, 236771, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 105385, 1083, 3714, 63595, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 50990, 236779, 111977, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 23179, 623, 41239, 236779, 18308, 1083, 3714, 3993, 11568, 236779, 70353, 1083, 236743, 236771, 236764, 623, 95503, 236779, 53247, 1083, 623, 21550, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 573, 506, 77648, 5213, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 66515, 108, 236772, 5213, 50615, 66515, 236743, 236778, 236771, 236770, 236832, 16103, 633, 236772, 236770, 236810, 236771, 138, 107, 236772, 5213, 44383, 66515, 23531, 568, 126452, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 236772, 5213, 30423, 66515, 70987, 531, 3415, 98881, 138, 107, 236772, 5213, 16146, 66515, 138, 107, 138, 236772, 2301, 26690, 4785, 138, 107, 138, 236772, 40675, 8735, 2487, 138, 108, 2094, 44898, 625, 236858, 236751, 496, 4341, 236764, 12314, 7500, 607, 951, 3262, 4342, 9456, 236761, 21284, 611, 1133, 786, 531, 2121, 496, 593, 89671, 38485, 2148, 531, 2426, 573, 1027, 5052, 10521, 653, 4767, 4083, 236881, 106, 107, 105, 2364, 107, 5988, 7531, 532, 1845, 506, 593, 89671, 2426, 580, 600, 77648, 236761, 564, 1461, 531, 1386, 2889, 993, 10050, 236789, 236745, 1027, 15647, 15682, 653, 69779, 580, 672, 9685, 1680, 1041, 60898, 15360, 496, 1679, 7548, 580, 625, 236761, 5978, 611, 236789, 500, 657, 625, 236764, 1451, 611, 992, 16807, 506, 15020, 28100, 573, 22753, 2338, 600, 236789, 236751, 1298, 668, 236789, 859, 577, 62317, 625, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 3709, 1083, 3714, 10383, 1083, 623, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 827, 623, 11205, 236779, 188357, 1083, 78493, 14444, 2168, 1083, 623, 52111, 18350, 20993, 6503, 827, 623, 50990, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 2084, 1083, 623, 54973, 22100, 12096, 21632, 827, 623, 4818, 1083, 623, 14009, 25938, 1604, 623, 105385, 236779, 4818, 1083, 3714, 4002, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 50990, 236779, 3255, 1083, 623, 106053, 827, 623, 50990, 236779, 181103, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 590, 12923, 236779, 37974, 1083, 623, 236828, 236778, 236764, 236800, 236812, 236832, 7635, 23179, 623, 87480, 236779, 2451, 1083, 623, 2574, 1411, 612, 39277, 236761, 12561, 236761, 826, 236786, 209382, 236786, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 236761, 10888, 827, 623, 2763, 37755, 1083, 623, 2094, 2072, 22136, 1938, 618, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 562, 9545, 236761, 36997, 28100, 1374, 577, 10778, 607, 22753, 194480, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 593, 89671, 532, 15020, 1938, 573, 506, 7500, 236787, 108, 1018, 236791, 89671, 181821, 17647, 568, 88645, 236787, 236743, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 1473, 1018, 138, 107, 236772, 5213, 19120, 21632, 66515, 23531, 30071, 4247, 684, 5213, 52111, 18350, 20993, 6503, 1018, 568, 63595, 5729, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236770, 769, 138, 107, 236772, 5213, 125443, 66515, 14040, 8123, 563, 5213, 12720, 98881, 1018, 236793, 12314, 528, 5213, 106053, 1018, 607, 223063, 6013, 5213, 236828, 236778, 236764, 236800, 236812, 236832, 7635, 84750, 138, 107, 236772, 5213, 44383, 1787, 140725, 66515, 5261, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236825, 236761, 138, 107, 236772, 5213, 66190, 66515, 870, 18086, 5125, 593, 89671, 16821, 5457, 2574, 1411, 612, 39277, 236761, 12561, 236761, 826, 236786, 209382, 236786, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 236761, 10888, 769, 138, 108, 1018, 106053, 36997, 7918, 66515, 138, 107, 818, 7500, 563, 5633, 12314, 528, 22753, 236764, 840, 2462, 9128, 4981, 5467, 607, 506, 870, 106053, 194480, 5457, 2574, 1411, 2769, 236761, 236767, 35935, 236761, 2187, 31004, 1680, 7408, 236764, 618, 69779, 1921, 577, 21891, 573, 3582, 18497, 4921, 236761, 138, 108, 2094, 9685, 815, 614, 5158, 10670, 30071, 237028, 17993, 60898, 1374, 5330, 672, 563, 6382, 1135, 532, 506, 30071, 6811, 1680, 201585, 506, 7408, 531, 5571, 6369, 31094, 236761, 21284, 611, 1133, 14984, 580, 2148, 6555, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 1041, 60898, 1385, 1131, 11691, 496, 1456, 35312, 236764, 532, 692, 236789, 500, 4875, 531, 16807, 506, 7500, 236789, 236751, 4083, 236761, 669, 20925, 3847, 496, 77648, 840, 564, 236789, 236753, 1133, 531, 2426, 768, 625, 236789, 236751, 4341, 532, 974, 1070, 4889, 580, 506, 9685, 236761, 3199, 611, 1845, 496, 77648, 2426, 573, 786, 236881, 106, 107, 105, 4368, 107, 2021, 16807, 506, 7500, 236789, 236751, 4083, 532, 4889, 236764, 564, 236789, 859, 1202, 506, 236743, 236770, 236832, 236772, 18857, 77648, 3847, 684, 506, 20925, 236761, 28344, 611, 5091, 4024, 506, 77648, 834, 564, 740, 2426, 1061, 28100, 532, 33205, 506, 7500, 1938, 573, 611, 236881, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 506, 77648, 506, 20925, 5877, 775, 236787, 236743, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 236761, 3792, 786, 1281, 1144, 611, 1586, 855, 1003, 672, 16103, 9685, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10383, 1083, 623, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 827, 623, 4730, 1083, 1847, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 236811, 236772, 236770, 236810, 236771, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 105385, 1083, 3714, 63595, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 50990, 236779, 111977, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 23179, 623, 41239, 236779, 18308, 1083, 3714, 3993, 11568, 236779, 70353, 1083, 236743, 236771, 236764, 623, 95503, 236779, 53247, 1083, 623, 21550, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 573, 506, 77648, 5213, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 66515, 108, 236772, 5213, 50615, 66515, 236743, 236778, 236771, 236770, 236832, 16103, 633, 236772, 236770, 236810, 236771, 138, 107, 236772, 5213, 44383, 66515, 23531, 568, 126452, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 236772, 5213, 30423, 66515, 70987, 531, 3415, 98881, 138, 107, 236772, 5213, 16146, 66515, 138, 107, 138, 236772, 2301, 26690, 4785, 138, 107, 138, 236772, 40675, 8735, 2487, 138, 108, 2094, 44898, 625, 236858, 236751, 496, 4341, 236764, 12314, 7500, 607, 951, 3262, 4342, 9456, 236761, 21284, 611, 1133, 786, 531, 2121, 496, 593, 89671, 38485, 2148, 531, 2426, 573, 1027, 5052, 10521, 653, 4767, 4083, 236881, 106, 107, 105, 2364, 107, 5988, 7531, 532, 1845, 506, 593, 89671, 2426, 580, 600, 77648, 236761, 564, 1461, 531, 1386, 2889, 993, 10050, 236789, 236745, 1027, 15647, 15682, 653, 69779, 580, 672, 9685, 1680, 1041, 60898, 15360, 496, 1679, 7548, 580, 625, 236761, 5978, 611, 236789, 500, 657, 625, 236764, 1451, 611, 992, 16807, 506, 15020, 28100, 573, 22753, 2338, 600, 236789, 236751, 1298, 668, 236789, 859, 577, 62317, 625, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 3709, 1083, 3714, 10383, 1083, 623, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 827, 623, 11205, 236779, 188357, 1083, 78493, 14444, 2168, 1083, 623, 52111, 18350, 20993, 6503, 827, 623, 50990, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 2084, 1083, 623, 54973, 22100, 12096, 21632, 827, 623, 4818, 1083, 623, 14009, 25938, 1604, 623, 105385, 236779, 4818, 1083, 3714, 4002, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 50990, 236779, 3255, 1083, 623, 106053, 827, 623, 50990, 236779, 181103, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 590, 12923, 236779, 37974, 1083, 623, 236828, 236778, 236764, 236800, 236812, 236832, 7635, 23179, 623, 87480, 236779, 2451, 1083, 623, 2574, 1411, 612, 39277, 236761, 12561, 236761, 826, 236786, 209382, 236786, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 236761, 10888, 827, 623, 2763, 37755, 1083, 623, 2094, 2072, 22136, 1938, 618, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 562, 9545, 236761, 36997, 28100, 1374, 577, 10778, 607, 22753, 194480, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 593, 89671, 532, 15020, 1938, 573, 506, 7500, 236787, 108, 1018, 236791, 89671, 181821, 17647, 568, 88645, 236787, 236743, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 1473, 1018, 138, 107, 236772, 5213, 19120, 21632, 66515, 23531, 30071, 4247, 684, 5213, 52111, 18350, 20993, 6503, 1018, 568, 63595, 5729, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236770, 769, 138, 107, 236772, 5213, 125443, 66515, 14040, 8123, 563, 5213, 12720, 98881, 1018, 236793, 12314, 528, 5213, 106053, 1018, 607, 223063, 6013, 5213, 236828, 236778, 236764, 236800, 236812, 236832, 7635, 84750, 138, 107, 236772, 5213, 44383, 1787, 140725, 66515, 5261, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236825, 236761, 138, 107, 236772, 5213, 66190, 66515, 870, 18086, 5125, 593, 89671, 16821, 5457, 2574, 1411, 612, 39277, 236761, 12561, 236761, 826, 236786, 209382, 236786, 236770, 7627, 27330, 236770, 28135, 217844, 11998, 236819, 236810, 236828, 236810, 236825, 236761, 10888, 769, 138, 108, 1018, 106053, 36997, 7918, 66515, 138, 107, 818, 7500, 563, 5633, 12314, 528, 22753, 236764, 840, 2462, 9128, 4981, 5467, 607, 506, 870, 106053, 194480, 5457, 2574, 1411, 2769, 236761, 236767, 35935, 236761, 2187, 31004, 1680, 7408, 236764, 618, 69779, 1921, 577, 21891, 573, 3582, 18497, 4921, 236761, 138, 108, 2094, 9685, 815, 614, 5158, 10670, 30071, 237028, 17993, 60898, 1374, 5330, 672, 563, 6382, 1135, 532, 506, 30071, 6811, 1680, 201585, 506, 7408, 531, 5571, 6369, 31094, 236761, 21284, 611, 1133, 14984, 580, 2148, 6555, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 1041, 3272, 607, 496, 6247, 49115, 2203, 236764, 532, 692, 1202, 531, 3738, 3325, 196069, 9295, 236761, 28344, 611, 2426, 56140, 1591, 236789, 236751, 31622, 573, 623, 34791, 196069, 9295, 236775, 1699, 506, 30136, 236779, 2305, 5904, 236881, 564, 236789, 236753, 1133, 531, 10769, 3835, 573, 17040, 25663, 600, 659, 1800, 17075, 532, 44145, 10841, 573, 1023, 2528, 7972, 21622, 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, 236855, 210741, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 46065, 46797, 37330, 12410, 1493, 48196, 236743, 236778, 236771, 236798, 827, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 41255, 236779, 94636, 1083, 1847, 236764, 623, 16185, 236779, 6796, 1083, 1847, 236764, 623, 854, 3274, 742, 236779, 98246, 1083, 1847, 1263, 3714, 5930, 236779, 547, 1083, 623, 236855, 210741, 236772, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 17224, 105411, 1026, 37330, 29785, 236743, 236812, 236771, 236798, 105146, 19559, 827, 623, 9707, 1083, 236743, 236770, 236810, 236761, 236812, 236819, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 41255, 236779, 94636, 1083, 1847, 236764, 623, 16185, 236779, 6796, 1083, 1847, 236764, 623, 854, 3274, 742, 236779, 98246, 1083, 2416, 1263, 3714, 5930, 236779, 547, 1083, 623, 236855, 210741, 236772, 236770, 236770, 236778, 236778, 236800, 827, 623, 1201, 1083, 623, 147716, 150008, 1255, 37330, 12410, 1493, 29785, 236743, 236800, 236771, 236798, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 41255, 236779, 94636, 1083, 1847, 236764, 623, 16185, 236779, 6796, 1083, 1847, 236764, 623, 854, 3274, 742, 236779, 98246, 1083, 1847, 104960, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 175288, 52302, 1083, 1847, 236764, 623, 10479, 2003, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 10293, 196069, 9295, 3835, 564, 1765, 580, 56140, 1591, 573, 822, 2528, 7972, 2203, 236787, 108, 1018, 8534, 236743, 236800, 17647, 568, 40835, 684, 14723, 3385, 1473, 1018, 107, 236770, 236761, 5213, 46065, 46797, 37330, 12410, 1493, 48196, 236743, 236778, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236828, 236761, 236819, 236819, 151969, 236771, 236761, 236812, 236810, 236786, 236798, 236768, 138, 107, 139, 236772, 43804, 236772, 16518, 236787, 4472, 502, 236772, 6796, 236764, 44166, 742, 16593, 178829, 138, 107, 139, 236772, 8890, 573, 236787, 125936, 17040, 3548, 653, 78823, 45853, 138, 108, 236778, 236761, 5213, 17224, 105411, 1026, 37330, 29785, 236743, 236812, 236771, 236798, 105146, 19559, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236770, 236810, 236761, 236812, 236819, 151969, 236771, 236761, 236800, 236819, 236786, 236798, 236768, 138, 107, 139, 236772, 43804, 236772, 16518, 236787, 4472, 502, 236772, 6796, 1186, 236743, 242523, 138, 107, 139, 236772, 8890, 573, 236787, 112463, 17772, 657, 496, 3718, 2157, 236772, 721, 236772, 31189, 138, 108, 236800, 236761, 5213, 147716, 150008, 1255, 37330, 12410, 1493, 29785, 236743, 236800, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236770, 236778, 236761, 236832, 236810, 151969, 236771, 236761, 236812, 236800, 236786, 236798, 236768, 138, 107, 139, 236772, 43804, 236772, 16518, 236787, 4472, 502, 236772, 6796, 900, 44166, 742, 16593, 178829, 138, 107, 139, 236772, 8890, 573, 236787, 140770, 28597, 236772, 62580, 532, 2157, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 1701, 5213, 42409, 101366, 125546, 506, 236743, 236812, 236771, 236798, 5693, 5469, 506, 14723, 3385, 236772, 721, 236772, 31189, 236761, 138, 107, 236772, 1701, 5213, 125595, 4100, 125546, 506, 236743, 236800, 236771, 236798, 43804, 150008, 1255, 28619, 82949, 236772, 6796, 13153, 607, 44166, 742, 16593, 236761, 138, 107, 236772, 2085, 659, 5213, 236810, 2558, 7704, 1018, 529, 2536, 1271, 1093, 611, 1133, 786, 531, 2426, 3104, 236743, 236778, 573, 4767, 17040, 15663, 653, 83073, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 3104, 236743, 236778, 529, 506, 2536, 531, 1460, 768, 993, 659, 1027, 19743, 10293, 3835, 607, 1800, 82949, 236772, 6796, 13153, 532, 44166, 742, 16593, 528, 17040, 11550, 568, 236800, 236771, 236798, 236862, 20625, 564, 236858, 236753, 1133, 531, 56856, 3211, 607, 4168, 236772, 7362, 83073, 573, 1023, 5117, 2203, 236764, 1581, 768, 901, 236858, 500, 8427, 919, 11162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 147716, 44412, 37330, 12410, 1493, 48196, 236743, 236800, 236771, 236798, 827, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 18289, 8112, 1083, 11058, 30722, 37330, 827, 623, 10423, 502, 236772, 15370, 14255, 623, 98246, 1083, 623, 854, 3274, 742, 827, 623, 75633, 236779, 18700, 1083, 1847, 1263, 3714, 1201, 1083, 623, 17224, 111524, 50618, 37330, 29785, 236743, 236812, 236771, 236798, 827, 623, 9707, 1083, 236743, 236778, 236828, 236761, 236810, 236764, 623, 18289, 8112, 1083, 11058, 204713, 37330, 827, 623, 236794, 11767, 58596, 14255, 623, 98246, 1083, 623, 500, 189375, 236779, 54075, 827, 623, 75633, 236779, 18700, 1083, 1847, 1263, 3714, 1201, 1083, 623, 46065, 150008, 23471, 236743, 236810, 236771, 236798, 827, 623, 9707, 1083, 236743, 236800, 236778, 236761, 236771, 236764, 623, 18289, 8112, 1083, 11058, 77116, 37330, 827, 623, 181706, 14255, 623, 98246, 1083, 623, 854, 3274, 742, 827, 623, 75633, 236779, 18700, 1083, 1847, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 175288, 52302, 1083, 1847, 236764, 623, 10479, 2003, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 19743, 10293, 196069, 9295, 3835, 699, 3104, 236743, 236778, 600, 2874, 822, 13138, 236787, 108, 1018, 157061, 37330, 833, 43804, 236772, 83899, 105146, 28636, 568, 4163, 236743, 236778, 1473, 1018, 107, 236770, 236761, 5213, 147716, 44412, 37330, 12410, 1493, 48196, 236743, 236800, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236778, 236812, 236761, 236819, 236819, 151969, 236771, 236761, 236828, 236800, 236786, 236798, 236768, 138, 107, 139, 236772, 16344, 8112, 236787, 11514, 37330, 236764, 4472, 502, 236772, 15370, 138, 107, 139, 236772, 65386, 236787, 176240, 742, 178829, 138, 107, 139, 236772, 24118, 236787, 7660, 17075, 19743, 5086, 138, 108, 236778, 236761, 5213, 46065, 150008, 23471, 236743, 236810, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236800, 236778, 236761, 236771, 236771, 151969, 236771, 236761, 236825, 236812, 236786, 236798, 236768, 138, 107, 139, 236772, 16344, 8112, 236787, 97918, 37330, 236764, 89712, 138, 107, 139, 236772, 65386, 236787, 176240, 742, 178829, 138, 107, 139, 236772, 24118, 236787, 131901, 17040, 2425, 607, 13671, 83073, 138, 108, 1018, 4906, 19993, 62420, 65386, 41183, 53121, 138, 107, 236772, 5213, 17224, 111524, 50618, 37330, 29785, 236743, 236812, 236771, 236798, 1018, 151969, 236778, 236828, 236761, 236810, 236771, 236768, 815, 72304, 37330, 532, 121844, 83073, 840, 6178, 40399, 8901, 16593, 236743, 242523, 138, 108, 1018, 3503, 73022, 53121, 138, 107, 236772, 50618, 3835, 2157, 5213, 236778, 236772, 236800, 236781, 919, 810, 5496, 1018, 1082, 1908, 236772, 94636, 17040, 16226, 138, 107, 236772, 11338, 236743, 236778, 815, 5213, 236800, 2558, 2536, 1018, 568, 725, 529, 236743, 236770, 236832, 2558, 3211, 3418, 236743, 236800, 7704, 236768, 138, 107, 236772, 669, 236743, 236810, 236771, 236798, 5213, 46065, 150008, 23471, 1018, 5469, 506, 1791, 17040, 1550, 573, 19743, 9295, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 9813, 55455, 573, 3477, 19743, 1698, 236881, 138, 107, 236778, 236761, 7179, 3104, 236743, 236800, 573, 4767, 19743, 3835, 236881, 106, 107, 105, 2364, 107, 30092, 611, 33205, 506, 1698, 236779, 13308, 573, 1800, 506, 5213, 147716, 44412, 37330, 12410, 1493, 48196, 236743, 236800, 236771, 236798, 1018, 532, 5213, 46065, 150008, 23471, 236743, 236810, 236771, 236798, 1018, 236881, 564, 236789, 236753, 1133, 531, 10769, 910, 3530, 83073, 568, 236744, 236761, 236759, 1126, 11514, 37330, 7728, 236761, 97918, 37330, 779, 31831, 136031, 236764, 532, 1027, 4767, 4889, 1133, 10325, 14120, 653, 5646, 1938, 573, 1023, 5117, 2203, 236761, 6542, 236764, 659, 993, 1027, 12631, 653, 8341, 8687, 600, 2473, 4208, 17040, 10400, 573, 496, 2528, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 33205, 1698, 4889, 1547, 506, 30136, 236779, 2305, 2536, 1537, 236789, 236745, 3204, 60973, 3149, 573, 506, 1698, 236779, 13308, 5904, 236761, 3153, 236764, 2721, 580, 506, 2487, 1262, 699, 3104, 236743, 236778, 236787, 108, 1018, 173740, 36520, 53121, 138, 107, 236772, 5213, 147716, 44412, 568, 30722, 37330, 62902, 236787, 11514, 37330, 22902, 22606, 14143, 607, 10346, 6693, 8927, 10293, 24949, 8443, 236764, 2440, 951, 22615, 63938, 236761, 138, 107, 236772, 5213, 46065, 150008, 568, 77116, 37330, 62902, 236787, 50618, 684, 7955, 573, 12726, 158100, 568, 77116, 779, 496, 27768, 12659, 10293, 22902, 2742, 607, 44928, 28831, 532, 2777, 13138, 236761, 138, 108, 1018, 41941, 20303, 53121, 138, 107, 236772, 143951, 136031, 236764, 14120, 15136, 236764, 532, 5646, 1938, 1093, 1660, 42788, 1698, 7704, 4323, 60973, 568, 2217, 3847, 528, 3927, 2536, 769, 138, 107, 236772, 36585, 4889, 573, 17040, 10400, 10050, 236789, 236745, 5012, 528, 506, 1873, 15297, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 1637, 611, 735, 3530, 1698, 60973, 699, 56140, 1591, 236789, 236751, 3432, 236764, 564, 740, 1161, 1698, 236779, 13308, 531, 8430, 2587, 23003, 236761, 138, 107, 236778, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 30136, 3927, 531, 8701, 3211, 607, 14481, 10739, 27820, 236881, 138, 107, 236800, 236761, 41433, 236764, 564, 740, 2426, 3104, 236743, 236800, 529, 506, 2536, 531, 1460, 768, 1027, 19743, 3211, 3204, 60973, 528, 910, 38332, 236761, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 1041, 3272, 607, 496, 6247, 49115, 2203, 236764, 532, 692, 1202, 531, 3738, 3325, 196069, 9295, 236761, 28344, 611, 2426, 56140, 1591, 236789, 236751, 31622, 573, 623, 34791, 196069, 9295, 236775, 1699, 506, 30136, 236779, 2305, 5904, 236881, 564, 236789, 236753, 1133, 531, 10769, 3835, 573, 17040, 25663, 600, 659, 1800, 17075, 532, 44145, 10841, 573, 1023, 2528, 7972, 21622, 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, 236855, 210741, 236772, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 46065, 46797, 37330, 12410, 1493, 48196, 236743, 236778, 236771, 236798, 827, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 41255, 236779, 94636, 1083, 1847, 236764, 623, 16185, 236779, 6796, 1083, 1847, 236764, 623, 854, 3274, 742, 236779, 98246, 1083, 1847, 1263, 3714, 5930, 236779, 547, 1083, 623, 236855, 210741, 236772, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 17224, 105411, 1026, 37330, 29785, 236743, 236812, 236771, 236798, 105146, 19559, 827, 623, 9707, 1083, 236743, 236770, 236810, 236761, 236812, 236819, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 41255, 236779, 94636, 1083, 1847, 236764, 623, 16185, 236779, 6796, 1083, 1847, 236764, 623, 854, 3274, 742, 236779, 98246, 1083, 2416, 1263, 3714, 5930, 236779, 547, 1083, 623, 236855, 210741, 236772, 236770, 236770, 236778, 236778, 236800, 827, 623, 1201, 1083, 623, 147716, 150008, 1255, 37330, 12410, 1493, 29785, 236743, 236800, 236771, 236798, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236832, 236810, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 41255, 236779, 94636, 1083, 1847, 236764, 623, 16185, 236779, 6796, 1083, 1847, 236764, 623, 854, 3274, 742, 236779, 98246, 1083, 1847, 104960, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 28881, 236779, 103411, 1083, 3714, 175288, 52302, 1083, 1847, 236764, 623, 10479, 2003, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 10293, 196069, 9295, 3835, 564, 1765, 580, 56140, 1591, 573, 822, 2528, 7972, 2203, 236787, 108, 1018, 8534, 236743, 236800, 17647, 568, 40835, 684, 14723, 3385, 1473, 1018, 107, 236770, 236761, 5213, 46065, 46797, 37330, 12410, 1493, 48196, 236743, 236778, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236828, 236761, 236819, 236819, 151969, 236771, 236761, 236812, 236810, 236786, 236798, 236768, 138, 107, 139, 236772, 43804, 236772, 16518, 236787, 4472, 502, 236772, 6796, 236764, 44166, 742, 16593, 178829, 138, 107, 139, 236772, 8890, 573, 236787, 125936, 17040, 3548, 653, 78823, 45853, 138, 108, 236778, 236761, 5213, 17224, 105411, 1026, 37330, 29785, 236743, 236812, 236771, 236798, 105146, 19559, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236770, 236810, 236761, 236812, 236819, 151969, 236771, 236761, 236800, 236819, 236786, 236798, 236768, 138, 107, 139, 236772, 43804, 236772, 16518, 236787, 4472, 502, 236772, 6796, 1186, 236743, 242523, 138, 107, 139, 236772, 8890, 573, 236787, 112463, 17772, 657, 496, 3718, 2157, 236772, 721, 236772, 31189, 138, 108, 236800, 236761, 5213, 147716, 150008, 1255, 37330, 12410, 1493, 29785, 236743, 236800, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236770, 236778, 236761, 236832, 236810, 151969, 236771, 236761, 236812, 236800, 236786, 236798, 236768, 138, 107, 139, 236772, 43804, 236772, 16518, 236787, 4472, 502, 236772, 6796, 900, 44166, 742, 16593, 178829, 138, 107, 139, 236772, 8890, 573, 236787, 140770, 28597, 236772, 62580, 532, 2157, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 1701, 5213, 42409, 101366, 125546, 506, 236743, 236812, 236771, 236798, 5693, 5469, 506, 14723, 3385, 236772, 721, 236772, 31189, 236761, 138, 107, 236772, 1701, 5213, 125595, 4100, 125546, 506, 236743, 236800, 236771, 236798, 43804, 150008, 1255, 28619, 82949, 236772, 6796, 13153, 607, 44166, 742, 16593, 236761, 138, 107, 236772, 2085, 659, 5213, 236810, 2558, 7704, 1018, 529, 2536, 1271, 1093, 611, 1133, 786, 531, 2426, 3104, 236743, 236778, 573, 4767, 17040, 15663, 653, 83073, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 3104, 236743, 236778, 529, 506, 2536, 531, 1460, 768, 993, 659, 1027, 19743, 10293, 3835, 607, 1800, 82949, 236772, 6796, 13153, 532, 44166, 742, 16593, 528, 17040, 11550, 568, 236800, 236771, 236798, 236862, 20625, 564, 236858, 236753, 1133, 531, 56856, 3211, 607, 4168, 236772, 7362, 83073, 573, 1023, 5117, 2203, 236764, 1581, 768, 901, 236858, 500, 8427, 919, 11162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 147716, 44412, 37330, 12410, 1493, 48196, 236743, 236800, 236771, 236798, 827, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 18289, 8112, 1083, 11058, 30722, 37330, 827, 623, 10423, 502, 236772, 15370, 14255, 623, 98246, 1083, 623, 854, 3274, 742, 827, 623, 75633, 236779, 18700, 1083, 1847, 1263, 3714, 1201, 1083, 623, 17224, 111524, 50618, 37330, 29785, 236743, 236812, 236771, 236798, 827, 623, 9707, 1083, 236743, 236778, 236828, 236761, 236810, 236764, 623, 18289, 8112, 1083, 11058, 204713, 37330, 827, 623, 236794, 11767, 58596, 14255, 623, 98246, 1083, 623, 500, 189375, 236779, 54075, 827, 623, 75633, 236779, 18700, 1083, 1847, 1263, 3714, 1201, 1083, 623, 46065, 150008, 23471, 236743, 236810, 236771, 236798, 827, 623, 9707, 1083, 236743, 236800, 236778, 236761, 236771, 236764, 623, 18289, 8112, 1083, 11058, 77116, 37330, 827, 623, 181706, 14255, 623, 98246, 1083, 623, 854, 3274, 742, 827, 623, 75633, 236779, 18700, 1083, 1847, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236832, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 175288, 52302, 1083, 1847, 236764, 623, 10479, 2003, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 19743, 10293, 196069, 9295, 3835, 699, 3104, 236743, 236778, 600, 2874, 822, 13138, 236787, 108, 1018, 157061, 37330, 833, 43804, 236772, 83899, 105146, 28636, 568, 4163, 236743, 236778, 1473, 1018, 107, 236770, 236761, 5213, 147716, 44412, 37330, 12410, 1493, 48196, 236743, 236800, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236778, 236812, 236761, 236819, 236819, 151969, 236771, 236761, 236828, 236800, 236786, 236798, 236768, 138, 107, 139, 236772, 16344, 8112, 236787, 11514, 37330, 236764, 4472, 502, 236772, 15370, 138, 107, 139, 236772, 65386, 236787, 176240, 742, 178829, 138, 107, 139, 236772, 24118, 236787, 7660, 17075, 19743, 5086, 138, 108, 236778, 236761, 5213, 46065, 150008, 23471, 236743, 236810, 236771, 236798, 1018, 138, 107, 139, 236772, 14584, 236787, 11361, 236800, 236778, 236761, 236771, 236771, 151969, 236771, 236761, 236825, 236812, 236786, 236798, 236768, 138, 107, 139, 236772, 16344, 8112, 236787, 97918, 37330, 236764, 89712, 138, 107, 139, 236772, 65386, 236787, 176240, 742, 178829, 138, 107, 139, 236772, 24118, 236787, 131901, 17040, 2425, 607, 13671, 83073, 138, 108, 1018, 4906, 19993, 62420, 65386, 41183, 53121, 138, 107, 236772, 5213, 17224, 111524, 50618, 37330, 29785, 236743, 236812, 236771, 236798, 1018, 151969, 236778, 236828, 236761, 236810, 236771, 236768, 815, 72304, 37330, 532, 121844, 83073, 840, 6178, 40399, 8901, 16593, 236743, 242523, 138, 108, 1018, 3503, 73022, 53121, 138, 107, 236772, 50618, 3835, 2157, 5213, 236778, 236772, 236800, 236781, 919, 810, 5496, 1018, 1082, 1908, 236772, 94636, 17040, 16226, 138, 107, 236772, 11338, 236743, 236778, 815, 5213, 236800, 2558, 2536, 1018, 568, 725, 529, 236743, 236770, 236832, 2558, 3211, 3418, 236743, 236800, 7704, 236768, 138, 107, 236772, 669, 236743, 236810, 236771, 236798, 5213, 46065, 150008, 23471, 1018, 5469, 506, 1791, 17040, 1550, 573, 19743, 9295, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 9813, 55455, 573, 3477, 19743, 1698, 236881, 138, 107, 236778, 236761, 7179, 3104, 236743, 236800, 573, 4767, 19743, 3835, 236881, 106, 107, 105, 2364, 107, 30092, 611, 33205, 506, 1698, 236779, 13308, 573, 1800, 506, 5213, 147716, 44412, 37330, 12410, 1493, 48196, 236743, 236800, 236771, 236798, 1018, 532, 5213, 46065, 150008, 23471, 236743, 236810, 236771, 236798, 1018, 236881, 564, 236789, 236753, 1133, 531, 10769, 910, 3530, 83073, 568, 236744, 236761, 236759, 1126, 11514, 37330, 7728, 236761, 97918, 37330, 779, 31831, 136031, 236764, 532, 1027, 4767, 4889, 1133, 10325, 14120, 653, 5646, 1938, 573, 1023, 5117, 2203, 236761, 6542, 236764, 659, 993, 1027, 12631, 653, 8341, 8687, 600, 2473, 4208, 17040, 10400, 573, 496, 2528, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 33205, 1698, 4889, 1547, 506, 30136, 236779, 2305, 2536, 1537, 236789, 236745, 3204, 60973, 3149, 573, 506, 1698, 236779, 13308, 5904, 236761, 3153, 236764, 2721, 580, 506, 2487, 1262, 699, 3104, 236743, 236778, 236787, 108, 1018, 173740, 36520, 53121, 138, 107, 236772, 5213, 147716, 44412, 568, 30722, 37330, 62902, 236787, 11514, 37330, 22902, 22606, 14143, 607, 10346, 6693, 8927, 10293, 24949, 8443, 236764, 2440, 951, 22615, 63938, 236761, 138, 107, 236772, 5213, 46065, 150008, 568, 77116, 37330, 62902, 236787, 50618, 684, 7955, 573, 12726, 158100, 568, 77116, 779, 496, 27768, 12659, 10293, 22902, 2742, 607, 44928, 28831, 532, 2777, 13138, 236761, 138, 108, 1018, 41941, 20303, 53121, 138, 107, 236772, 143951, 136031, 236764, 14120, 15136, 236764, 532, 5646, 1938, 1093, 1660, 42788, 1698, 7704, 4323, 60973, 568, 2217, 3847, 528, 3927, 2536, 769, 138, 107, 236772, 36585, 4889, 573, 17040, 10400, 10050, 236789, 236745, 5012, 528, 506, 1873, 15297, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 1637, 611, 735, 3530, 1698, 60973, 699, 56140, 1591, 236789, 236751, 3432, 236764, 564, 740, 1161, 1698, 236779, 13308, 531, 8430, 2587, 23003, 236761, 138, 107, 236778, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 30136, 3927, 531, 8701, 3211, 607, 14481, 10739, 27820, 236881, 138, 107, 236800, 236761, 41433, 236764, 564, 740, 2426, 3104, 236743, 236800, 529, 506, 2536, 531, 1460, 768, 1027, 19743, 3211, 3204, 60973, 528, 910, 38332, 236761, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1894, 2299, 6478, 657, 506, 2263, 4467, 672, 12399, 532, 1461, 531, 2426, 768, 692, 236789, 859, 1202, 506, 119597, 8336, 236761, 28344, 611, 3442, 786, 506, 1873, 7606, 3439, 528, 558, 18388, 11518, 236764, 13476, 236881, 39799, 236764, 564, 1202, 531, 1281, 506, 4022, 532, 3363, 993, 236789, 236751, 1027, 31632, 13922, 653, 4275, 4949, 236761, 53765, 568, 3307, 5866, 236768, 22827, 531, 16239, 1056, 625, 54994, 236764, 532, 564, 1461, 531, 1386, 2889, 506, 10884, 563, 5508, 528, 1624, 692, 1202, 23803, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 236774, 18388, 11518, 236764, 13476, 827, 623, 4002, 236779, 19216, 1083, 3714, 27495, 236779, 236760, 1083, 236743, 236832, 236778, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 236761, 236770, 236764, 623, 44340, 236779, 495, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 23179, 623, 52511, 1083, 3714, 9900, 11663, 1083, 3714, 27495, 236779, 236760, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 60423, 1083, 623, 236778, 236771, 70887, 623, 19323, 236779, 7777, 1083, 623, 196224, 17635, 236775, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 1938, 573, 558, 18388, 11518, 236764, 13476, 236787, 108, 1018, 8782, 32288, 568, 527, 529, 236743, 236770, 236770, 236787, 236800, 236771, 8151, 1473, 1018, 107, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 236772, 28789, 236787, 216726, 35898, 107, 236772, 212775, 236787, 236743, 236771, 236761, 236771, 12371, 568, 1904, 6927, 5633, 236768, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 236772, 18324, 236787, 236743, 236828, 236761, 236770, 44269, 108, 1018, 6259, 11663, 74544, 53121, 107, 236772, 4819, 529, 236743, 236832, 236825, 237366, 236811, 107, 236772, 28789, 236787, 96056, 17635, 107, 236772, 212775, 82547, 236787, 236743, 236778, 236771, 236908, 568, 976, 6584, 529, 6927, 236768, 108, 22515, 580, 672, 1262, 236764, 6927, 563, 711, 5633, 14773, 532, 1186, 496, 2708, 6584, 7519, 672, 12399, 236761, 3153, 236764, 2338, 53765, 563, 13719, 531, 6927, 236764, 611, 1149, 1461, 531, 236787, 107, 236770, 236761, 5833, 872, 506, 119597, 618, 496, 69148, 573, 506, 236743, 236778, 236771, 236908, 6584, 529, 6927, 107, 236778, 236761, 26295, 506, 7217, 3439, 618, 506, 2460, 71863, 107, 236800, 236761, 17608, 6927, 13290, 14942, 1164, 528, 1624, 108, 38786, 611, 1133, 1027, 4767, 7606, 4889, 573, 558, 18388, 11518, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1894, 2299, 6478, 657, 506, 2263, 4467, 672, 12399, 532, 1461, 531, 2426, 768, 692, 236789, 859, 1202, 506, 119597, 8336, 236761, 28344, 611, 3442, 786, 506, 1873, 7606, 3439, 528, 558, 18388, 11518, 236764, 13476, 236881, 39799, 236764, 564, 1202, 531, 1281, 506, 4022, 532, 3363, 993, 236789, 236751, 1027, 31632, 13922, 653, 4275, 4949, 236761, 53765, 568, 3307, 5866, 236768, 22827, 531, 16239, 1056, 625, 54994, 236764, 532, 564, 1461, 531, 1386, 2889, 506, 10884, 563, 5508, 528, 1624, 692, 1202, 23803, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 236774, 18388, 11518, 236764, 13476, 827, 623, 4002, 236779, 19216, 1083, 3714, 27495, 236779, 236760, 1083, 236743, 236832, 236778, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 236779, 70367, 1083, 236743, 236828, 236761, 236770, 236764, 623, 44340, 236779, 495, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19323, 236779, 7777, 1083, 623, 7783, 586, 35898, 23179, 623, 52511, 1083, 3714, 9900, 11663, 1083, 3714, 27495, 236779, 236760, 1083, 236743, 236832, 236825, 236764, 623, 44340, 236779, 60423, 1083, 623, 236778, 236771, 70887, 623, 19323, 236779, 7777, 1083, 623, 196224, 17635, 236775, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 1938, 573, 558, 18388, 11518, 236764, 13476, 236787, 108, 1018, 8782, 32288, 568, 527, 529, 236743, 236770, 236770, 236787, 236800, 236771, 8151, 1473, 1018, 107, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 107, 236772, 28789, 236787, 216726, 35898, 107, 236772, 212775, 236787, 236743, 236771, 236761, 236771, 12371, 568, 1904, 6927, 5633, 236768, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 236772, 18324, 236787, 236743, 236828, 236761, 236770, 44269, 108, 1018, 6259, 11663, 74544, 53121, 107, 236772, 4819, 529, 236743, 236832, 236825, 237366, 236811, 107, 236772, 28789, 236787, 96056, 17635, 107, 236772, 212775, 82547, 236787, 236743, 236778, 236771, 236908, 568, 976, 6584, 529, 6927, 236768, 108, 22515, 580, 672, 1262, 236764, 6927, 563, 711, 5633, 14773, 532, 1186, 496, 2708, 6584, 7519, 672, 12399, 236761, 3153, 236764, 2338, 53765, 563, 13719, 531, 6927, 236764, 611, 1149, 1461, 531, 236787, 107, 236770, 236761, 5833, 872, 506, 119597, 618, 496, 69148, 573, 506, 236743, 236778, 236771, 236908, 6584, 529, 6927, 107, 236778, 236761, 26295, 506, 7217, 3439, 618, 506, 2460, 71863, 107, 236800, 236761, 17608, 6927, 13290, 14942, 1164, 528, 1624, 108, 38786, 611, 1133, 1027, 4767, 7606, 4889, 573, 558, 18388, 11518, 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, 61232, 1023, 3798, 1698, 1757, 12940, 7545, 236761, 28344, 611, 1502, 684, 4710, 496, 13128, 30136, 9960, 1534, 623, 34791, 7205, 12799, 236775, 532, 623, 199283, 7205, 15337, 51653, 564, 1461, 531, 3050, 837, 3755, 2729, 2480, 3927, 5542, 7728, 236761, 8105, 7002, 573, 1023, 28597, 236772, 29852, 5602, 3225, 236761, 568, 9366, 4491, 573, 1041, 1500, 236772, 1048, 2864, 1308, 611, 4024, 506, 4068, 9960, 1262, 236764, 618, 564, 236789, 859, 1202, 531, 5577, 1724, 2536, 573, 1023, 2148, 2918, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 34791, 7205, 12799, 827, 623, 10619, 236779, 42103, 1083, 11058, 41255, 236772, 18865, 7205, 12799, 827, 623, 23014, 7205, 15337, 827, 623, 199283, 7205, 8785, 827, 623, 34791, 14538, 7205, 12799, 827, 623, 26890, 236772, 6796, 7205, 15337, 14255, 623, 2305, 236779, 20845, 1083, 3714, 71832, 236779, 28128, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 58043, 1083, 623, 72155, 827, 623, 19458, 2027, 1083, 623, 114292, 23179, 623, 157775, 236779, 29263, 1083, 3714, 236755, 10922, 1083, 236743, 236778, 236761, 236812, 236810, 236764, 623, 157775, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 3991, 236779, 10328, 1083, 11058, 147716, 57335, 53580, 753, 236743, 236770, 236771, 236771, 236908, 37330, 172137, 17468, 827, 623, 17224, 198781, 1412, 753, 50618, 37330, 23753, 5641, 28441, 827, 623, 79910, 3508, 1084, 9065, 1229, 753, 138999, 23753, 71996, 23387, 152254, 623, 19859, 236779, 3970, 1083, 623, 501, 827, 623, 14801, 236779, 3970, 1083, 623, 3118, 827, 623, 28263, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 199283, 7205, 15337, 827, 623, 10619, 236779, 42103, 1083, 11058, 34791, 7205, 12799, 827, 623, 41255, 236772, 18865, 7205, 8785, 827, 623, 10671, 7205, 53981, 827, 623, 23014, 7205, 39292, 827, 623, 163914, 55600, 742, 7205, 12799, 14255, 623, 2305, 236779, 20845, 1083, 3714, 199283, 7205, 15337, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 34791, 7205, 12799, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 41255, 236772, 18865, 7205, 8785, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 10671, 7205, 53981, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 23014, 7205, 39292, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 163914, 55600, 742, 7205, 12799, 1083, 236743, 236819, 236771, 236771, 1263, 623, 157775, 236779, 29263, 1083, 3714, 199283, 7205, 15337, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236778, 236761, 236812, 236810, 1263, 623, 34791, 7205, 12799, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236778, 236761, 236770, 1263, 623, 41255, 236772, 18865, 7205, 8785, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236828, 1263, 623, 10671, 7205, 53981, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236800, 236828, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236825, 236810, 1263, 623, 23014, 7205, 39292, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236800, 236778, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236810, 1263, 623, 163914, 55600, 742, 7205, 12799, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236778, 236810, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236800, 236810, 5237, 623, 85038, 847, 1083, 11058, 24501, 28307, 756, 199283, 7205, 15337, 236789, 607, 1494, 3927, 5542, 9785, 21037, 8105, 827, 623, 80182, 1440, 236772, 14170, 7760, 528, 756, 163914, 55600, 742, 7205, 12799, 236789, 607, 3718, 8105, 827, 623, 52804, 756, 34791, 7205, 12799, 236789, 618, 496, 12030, 4596, 1941, 607, 3629, 3927, 5056, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13128, 9960, 3671, 573, 822, 3798, 1698, 1757, 12940, 7545, 236787, 108, 1018, 59256, 19791, 41959, 1018, 138, 107, 236770, 236761, 5213, 99969, 23753, 136077, 1018, 138, 107, 139, 236772, 50292, 12808, 26036, 236787, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 568, 72155, 7003, 236768, 138, 107, 139, 236772, 41157, 27242, 236787, 236743, 236832, 236828, 568, 11480, 236768, 138, 107, 139, 236772, 29748, 107964, 236787, 609, 236778, 236761, 236812, 236810, 138, 107, 139, 236772, 8231, 25966, 7428, 236787, 43804, 57335, 53580, 236764, 7086, 198781, 1412, 236764, 33677, 3508, 1084, 9065, 1229, 138, 108, 236778, 236761, 5213, 174779, 23753, 71996, 1018, 138, 107, 139, 236772, 50292, 12808, 26036, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 568, 4060, 4596, 3755, 8009, 2578, 236832, 236764, 236771, 236771, 236771, 9292, 236768, 138, 107, 139, 236772, 2341, 74305, 236787, 236743, 236771, 236761, 236825, 236810, 568, 114292, 236768, 138, 107, 139, 236772, 29748, 107964, 236787, 609, 236778, 236761, 236812, 236810, 138, 107, 139, 236772, 26959, 8105, 528, 1440, 236772, 14170, 15936, 1133, 623, 163914, 55600, 742, 7205, 12799, 236775, 6131, 236770, 236761, 236800, 236810, 107964, 236768, 108, 1018, 165108, 91330, 1018, 138, 107, 236770, 236761, 5213, 32663, 30235, 66515, 623, 174779, 7205, 15337, 236775, 5469, 2480, 8105, 236772, 1071, 236772, 54453, 7002, 573, 28597, 236772, 29852, 28675, 236764, 607, 7760, 531, 12203, 36989, 9766, 1343, 4596, 3755, 1133, 623, 163914, 55600, 742, 7205, 12799, 236775, 568, 236778, 236810, 236908, 3718, 8105, 769, 138, 107, 236778, 236761, 5213, 65757, 34428, 66515, 6890, 623, 34791, 7205, 12799, 236775, 573, 6674, 236772, 10480, 24742, 531, 12203, 48490, 5056, 236764, 840, 2414, 3715, 107964, 4204, 699, 6697, 13965, 236761, 138, 107, 236800, 236761, 5213, 184402, 56802, 66515, 10508, 30154, 1407, 623, 114292, 236775, 165574, 1271, 1966, 21238, 3798, 24742, 607, 506, 5857, 1063, 236772, 1071, 236772, 13858, 28597, 236772, 39115, 7003, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 3530, 772, 4865, 183660, 653, 7715, 25519, 29014, 2721, 580, 1239, 19455, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 1262, 236888, 3792, 236789, 236751, 27868, 1131, 61232, 772, 4865, 573, 623, 199283, 7205, 15337, 236775, 2338, 625, 3831, 506, 2480, 7002, 236761, 28344, 611, 8729, 496, 1694, 529, 7798, 4137, 1699, 506, 808, 33310, 236829, 5904, 10916, 573, 672, 30136, 236881, 564, 1461, 531, 8701, 3364, 5602, 10928, 653, 27490, 692, 1451, 3421, 528, 1023, 12940, 39389, 236764, 4285, 2101, 28597, 236772, 18289, 8112, 653, 123543, 568, 540, 2279, 236764, 39601, 236768, 2338, 1724, 659, 17597, 4331, 3298, 564, 236789, 560, 14275, 528, 5602, 9697, 236761, 568, 14946, 692, 735, 1239, 4137, 236764, 564, 236858, 236753, 1133, 531, 4071, 236772, 30449, 1091, 607, 506, 30136, 1262, 611, 3016, 3847, 531, 56856, 837, 10928, 531, 8357, 528, 1023, 24742, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 33310, 1083, 11058, 3689, 28597, 236772, 18289, 8112, 1374, 564, 1385, 573, 528, 13726, 7205, 15337, 32109, 623, 3910, 776, 10293, 5417, 528, 7205, 12799, 6060, 17597, 20361, 532, 48275, 32109, 623, 14219, 13726, 7205, 12799, 919, 22937, 1082, 15473, 3835, 32109, 623, 3689, 659, 506, 1346, 3364, 8646, 10928, 6296, 735, 1003, 7205, 15337, 32109, 623, 3910, 740, 564, 16807, 496, 5500, 236789, 236751, 24488, 8787, 573, 910, 7205, 8785, 32109, 623, 6294, 28597, 236772, 18865, 7205, 12799, 2157, 8792, 919, 1082, 4841, 3835, 32109, 623, 3689, 5417, 659, 76302, 573, 496, 7205, 236789, 236751, 5716, 528, 13726, 15337, 4463, 32109, 623, 3910, 776, 13726, 7205, 12799, 2121, 528, 3755, 529, 4022, 12126, 32109, 623, 14219, 993, 3530, 83073, 600, 15246, 30426, 3719, 10154, 32109, 623, 3910, 740, 564, 7002, 123543, 607, 24488, 1056, 16890, 7205, 12799, 236881, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 529, 5602, 4137, 573, 623, 199283, 7205, 15337, 236775, 44275, 531, 822, 12940, 28304, 236764, 3008, 607, 14971, 15136, 236787, 108, 7243, 108, 10354, 5213, 3503, 17438, 23610, 833, 47746, 22282, 217361, 1018, 138, 107, 236770, 236761, 5213, 147716, 236772, 36018, 8112, 1018, 138, 107, 139, 236772, 165996, 3689, 28597, 236772, 18289, 8112, 1374, 564, 1385, 573, 7462, 236829, 138, 107, 139, 236772, 165996, 3910, 740, 564, 16807, 496, 5500, 236858, 236751, 24488, 8787, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 4819, 568, 139584, 19246, 5210, 25289, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 118189, 83073, 1133, 667, 100607, 568, 18085, 37330, 87842, 13029, 779, 115092, 31823, 236772, 120995, 236764, 653, 15519, 17648, 528, 772, 4865, 236761, 138, 108, 236778, 236761, 5213, 38682, 2109, 833, 61286, 665, 1018, 138, 107, 139, 236772, 165996, 3910, 776, 13726, 5417, 6060, 48275, 7462, 236829, 138, 107, 139, 236772, 165996, 14219, 13726, 7205, 12799, 919, 22937, 7462, 236829, 138, 107, 139, 236772, 165996, 3910, 531, 7002, 123543, 607, 24488, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 106237, 568, 7341, 236751, 607, 5602, 4331, 3298, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 4075, 9042, 969, 4065, 1133, 623, 540, 662, 236772, 36954, 10293, 14538, 236775, 653, 623, 5843, 236772, 44905, 9130, 10418, 573, 236743, 236810, 236771, 236862, 93084, 1781, 138, 108, 236800, 236761, 5213, 23077, 161601, 1018, 138, 107, 139, 236772, 165996, 6294, 28597, 236772, 18865, 7205, 12799, 2157, 919, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 35202, 568, 9707, 17511, 7519, 840, 28597, 236772, 143198, 2015, 3187, 4242, 55985, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 31784, 1550, 23384, 236787, 165996, 32660, 528, 22937, 236764, 1908, 236772, 72401, 5417, 600, 5383, 5384, 1024, 990, 1781, 236829, 138, 108, 236812, 236761, 5213, 18942, 16661, 1018, 138, 107, 139, 236772, 165996, 3689, 5417, 659, 76302, 573, 496, 7205, 236858, 236751, 5716, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 4819, 568, 16602, 236772, 27612, 21186, 9886, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 104574, 5417, 236787, 165996, 236770, 236771, 236771, 236908, 10293, 14538, 236764, 2196, 699, 22615, 62790, 653, 21579, 1781, 236829, 138, 108, 7243, 108, 10354, 5213, 21048, 236772, 9313, 607, 123148, 5774, 1018, 138, 107, 236772, 5213, 13238, 236772, 3135, 30234, 531, 23170, 66515, 138, 107, 138, 236772, 21264, 236787, 623, 199283, 7205, 15337, 236775, 568, 236812, 236764, 236810, 236771, 236771, 13822, 34369, 236764, 21037, 8105, 236768, 138, 107, 138, 236772, 8099, 236772, 74874, 236787, 623, 163914, 55600, 742, 7205, 12799, 236775, 568, 236819, 236771, 236771, 34369, 236764, 2708, 8105, 236764, 609, 236770, 236761, 236800, 236810, 107964, 236768, 138, 107, 236772, 5213, 4036, 11371, 43645, 66515, 138, 107, 138, 236772, 6890, 623, 94636, 10293, 236775, 532, 623, 540, 662, 236772, 36954, 9130, 236775, 528, 45774, 531, 3421, 1903, 4137, 236761, 138, 107, 138, 236772, 12213, 496, 2246, 725, 1133, 165996, 31728, 1805, 6095, 1109, 667, 100607, 236772, 94636, 1109, 236743, 236770, 236771, 236771, 236908, 8901, 236772, 6796, 16593, 147698, 531, 8913, 607, 28597, 236772, 7558, 236761, 138, 108, 7243, 108, 10354, 5213, 19469, 2341, 11371, 38456, 1018, 138, 107, 1018, 140290, 66515, 138, 107, 71510, 147716, 236772, 1505, 1166, 1434, 23753, 136077, 1109, 667, 100607, 236772, 157061, 1109, 181992, 236772, 1988, 13040, 37330, 43828, 147698, 138, 108, 1018, 9770, 66515, 138, 107, 236775, 22527, 13726, 7205, 15337, 1603, 699, 236743, 236770, 236771, 236771, 236908, 10293, 14538, 236761, 5137, 22937, 236764, 1908, 236772, 72401, 40860, 659, 10418, 573, 236743, 236810, 236771, 236862, 93084, 532, 2229, 607, 15519, 17648, 22902, 236761, 9617, 12631, 580, 784, 10400, 9332, 138, 108, 1018, 236796, 67371, 3287, 66515, 138, 107, 236772, 623, 206589, 55600, 742, 16593, 236775, 138, 107, 236772, 623, 236810, 236772, 3704, 9130, 39601, 15246, 236775, 138, 107, 236772, 623, 85095, 6429, 7797, 236787, 30452, 822, 59398, 236858, 236751, 9338, 699, 5764, 531, 36896, 236775, 138, 108, 38786, 611, 1133, 531, 59638, 1239, 3342, 653, 43928, 562, 236786, 236799, 1594, 15936, 573, 3530, 5602, 20875, 568, 236744, 236761, 236759, 1126, 1171, 236772, 2289, 6296, 7728, 236761, 28597, 236772, 12335, 629, 1090, 20625, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 20054, 772, 4865, 19205, 236888, 3792, 236858, 236751, 43928, 562, 236786, 236799, 1594, 15936, 573, 5213, 6005, 236772, 2289, 6296, 1018, 7728, 236761, 5213, 41255, 236772, 12335, 629, 1090, 1018, 1699, 506, 19317, 699, 506, 30136, 532, 2934, 3671, 236761, 28344, 611, 8729, 1156, 9245, 7093, 529, 772, 4865, 4820, 568, 235754, 236764, 29141, 236764, 26827, 3287, 236768, 36443, 531, 1239, 20875, 236881, 1701, 5213, 6005, 236772, 2289, 6296, 125546, 37837, 5213, 167141, 665, 1018, 568, 540, 662, 8047, 236764, 39601, 236768, 532, 5213, 89653, 1018, 568, 9181, 236772, 72401, 5417, 769, 1701, 5213, 41255, 236772, 12335, 629, 1090, 125546, 8357, 5213, 18289, 8112, 1018, 568, 236823, 100607, 236764, 15519, 17648, 236768, 532, 5213, 125595, 4100, 1018, 568, 163914, 55600, 742, 16593, 236764, 6800, 38649, 769, 568, 14946, 1239, 659, 4464, 236764, 564, 236858, 236753, 1133, 531, 5577, 506, 30136, 8105, 1262, 699, 506, 1171, 5904, 2246, 531, 13901, 837, 13041, 2473, 2121, 2480, 528, 1494, 236772, 208306, 7728, 236761, 2708, 236772, 208306, 9576, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 34791, 7205, 12799, 827, 623, 2305, 236779, 20845, 236779, 88933, 1083, 3714, 71832, 236779, 18553, 236779, 158365, 2391, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 157775, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236778, 236810, 236764, 623, 157775, 236779, 5909, 1083, 623, 166920, 23179, 623, 10619, 236779, 42103, 1083, 11058, 41255, 236772, 18865, 7205, 15337, 827, 623, 34791, 14538, 7205, 12799, 827, 623, 199283, 7205, 8785, 827, 623, 9181, 236772, 72401, 7205, 53981, 827, 623, 10671, 7205, 12799, 14255, 623, 34032, 2168, 236779, 41427, 1083, 78493, 6061, 1083, 623, 23014, 7205, 12799, 827, 623, 2305, 236779, 20845, 1083, 236743, 236828, 236812, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236770, 1263, 3714, 6061, 1083, 623, 199283, 7205, 12799, 827, 623, 2305, 236779, 20845, 1083, 236743, 236825, 236800, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236812, 104960, 623, 202894, 236779, 28263, 1083, 3714, 11480, 236779, 236755, 10922, 236779, 91873, 1083, 11058, 236797, 185360, 2590, 827, 623, 20163, 14073, 14255, 623, 976, 236779, 236755, 10922, 236779, 91873, 1083, 11058, 41210, 10958, 827, 623, 23425, 14255, 623, 62353, 236779, 41427, 1083, 78493, 6061, 1083, 623, 34791, 7205, 12799, 573, 13719, 5716, 827, 623, 2305, 236779, 20845, 1083, 236743, 236778, 236770, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 236755, 10922, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 6061, 1083, 623, 94636, 10293, 7205, 15337, 827, 623, 2305, 236779, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236771, 236810, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 199283, 7205, 15337, 827, 623, 10619, 236779, 42103, 1083, 11058, 34791, 7205, 12799, 827, 623, 41255, 236772, 18865, 7205, 8785, 827, 623, 9181, 236772, 72401, 7205, 53981, 827, 623, 163914, 55600, 742, 7205, 15337, 827, 623, 103549, 7205, 8013, 14255, 623, 2305, 236779, 20845, 1083, 3714, 71832, 236779, 28128, 1083, 236743, 236828, 236778, 236771, 236771, 236764, 623, 58043, 1083, 623, 72155, 827, 623, 19458, 2027, 1083, 623, 3704, 236772, 979, 23179, 623, 157775, 236779, 29263, 1083, 3714, 157775, 236779, 8318, 1083, 236743, 236832, 236810, 236764, 623, 28128, 236779, 236755, 10922, 1083, 6610, 236770, 236761, 236778, 236771, 827, 623, 3991, 236779, 39491, 51985, 1083, 11058, 147716, 57335, 6654, 827, 623, 17224, 139734, 827, 623, 79910, 30413, 152254, 623, 231787, 1083, 3714, 93855, 236779, 38651, 1083, 3714, 3118, 236779, 20163, 1083, 236743, 236819, 236778, 236764, 623, 3118, 236779, 36257, 1083, 236743, 236825, 236828, 236764, 623, 26179, 1083, 236743, 236810, 236812, 1263, 623, 34791, 236779, 21314, 236779, 23460, 1083, 3714, 34791, 236779, 23788, 1083, 236743, 236812, 236778, 236764, 623, 23460, 236779, 23788, 1083, 236743, 236810, 236828, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 562, 236786, 236799, 1594, 15936, 532, 3736, 3671, 236787, 108, 7243, 108, 10354, 5213, 4036, 11371, 98625, 1018, 138, 107, 2595, 5213, 36276, 562, 236787, 5315, 236772, 2866, 45967, 1018, 138, 107, 1018, 140290, 66515, 138, 107, 71510, 894, 662, 236772, 1988, 13040, 37330, 23753, 136077, 1109, 236743, 236810, 236771, 236862, 32971, 15933, 2109, 1109, 10645, 236772, 228160, 26810, 147698, 138, 108, 1018, 9770, 66515, 138, 107, 236775, 4199, 6296, 2765, 1023, 22937, 236764, 28597, 236772, 18865, 7205, 12799, 1603, 699, 236743, 236770, 236771, 236771, 236908, 10293, 14538, 236761, 133989, 573, 12609, 48275, 236764, 6338, 573, 13719, 5716, 236764, 532, 5284, 531, 1774, 1343, 1418, 47722, 236761, 9617, 7623, 9332, 138, 108, 1018, 236796, 67371, 3287, 66515, 138, 107, 236772, 623, 40585, 22189, 1037, 236772, 62353, 9130, 236775, 138, 107, 236772, 623, 35922, 236772, 1942, 15246, 580, 15769, 8047, 236775, 138, 107, 236772, 623, 28824, 598, 6374, 573, 127351, 236787, 115092, 31823, 236772, 120995, 19743, 236775, 138, 108, 7243, 108, 2595, 5213, 36276, 603, 236787, 43804, 236772, 23423, 629, 1090, 1018, 138, 107, 1018, 140290, 66515, 138, 107, 71510, 236823, 100607, 236772, 157061, 48233, 23753, 71996, 1109, 73068, 55600, 742, 65386, 1109, 29515, 236772, 20809, 147698, 138, 108, 1018, 9770, 66515, 138, 107, 236775, 31728, 800, 7205, 8013, 607, 15519, 17648, 22902, 236761, 5137, 12799, 659, 43374, 699, 236743, 236770, 236771, 236771, 236908, 10293, 14538, 236764, 53403, 528, 106326, 5417, 236764, 532, 6800, 236772, 45258, 699, 5764, 531, 8341, 236761, 29134, 506, 3826, 14994, 1781, 138, 108, 1018, 236796, 67371, 3287, 66515, 138, 107, 236772, 623, 11620, 822, 59398, 236858, 236751, 5743, 236772, 86248, 9338, 236775, 138, 107, 236772, 623, 236770, 236908, 573, 506, 38342, 8324, 236787, 236743, 236770, 236908, 529, 5886, 3055, 151302, 236775, 138, 107, 236772, 623, 5766, 17350, 1948, 236787, 9657, 2255, 12799, 573, 36498, 236775, 138, 108, 7243, 108, 10354, 5213, 52277, 13768, 684, 107964, 19037, 1018, 138, 107, 236770, 236761, 5213, 13238, 236772, 208306, 81528, 568, 236797, 185360, 236786, 20163, 14073, 2590, 62902, 236787, 138, 107, 139, 236772, 5213, 17043, 31389, 66515, 808, 36276, 562, 236829, 568, 7280, 236772, 2866, 45967, 236768, 138, 107, 139, 236772, 5213, 224693, 66515, 138, 107, 141, 236772, 34474, 3927, 5542, 573, 10231, 3755, 1133, 623, 540, 662, 236772, 36954, 10293, 14538, 236775, 568, 236770, 236778, 236764, 236810, 236771, 236771, 13822, 34369, 573, 623, 34791, 7205, 12799, 4248, 138, 107, 141, 236772, 26959, 8105, 6317, 568, 236771, 236761, 236812, 236810, 236768, 573, 36989, 3755, 1133, 623, 34791, 7205, 12799, 573, 13719, 5716, 236775, 568, 7341, 236751, 607, 66056, 562, 236858, 236751, 5646, 3213, 769, 138, 107, 141, 236772, 107964, 6131, 236771, 236761, 236819, 236810, 236768, 563, 236743, 236778, 236810, 236908, 3718, 1082, 66056, 603, 236858, 236751, 3328, 3755, 236761, 138, 108, 236778, 236761, 5213, 26834, 236772, 208306, 81528, 568, 41210, 10958, 236786, 23425, 2590, 62902, 236787, 138, 107, 139, 236772, 5213, 17043, 31389, 66515, 808, 36276, 603, 236829, 568, 147716, 236772, 23423, 629, 1090, 236768, 138, 107, 139, 236772, 5213, 224693, 66515, 138, 107, 141, 236772, 26959, 8105, 568, 8318, 236787, 236743, 236771, 236761, 236810, 236778, 236768, 573, 623, 94636, 10293, 7205, 15337, 236775, 568, 236770, 236764, 236828, 236771, 236771, 13822, 34369, 769, 138, 107, 141, 236772, 43804, 236772, 12335, 629, 1090, 528, 1239, 9576, 1407, 3715, 15154, 607, 1550, 236772, 27612, 39389, 568, 236744, 236761, 236759, 1126, 623, 25510, 236772, 45258, 236775, 34369, 872, 236743, 236770, 236810, 236908, 216670, 769, 138, 107, 141, 236772, 107964, 6131, 236770, 236761, 236771, 236810, 236768, 563, 13128, 607, 66056, 562, 236858, 236751, 25898, 3755, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236772, 40440, 562, 236786, 236799, 7713, 607, 5213, 36276, 562, 1018, 528, 1494, 236772, 208306, 9576, 532, 5213, 36276, 603, 1018, 528, 2708, 236772, 208306, 9576, 531, 30726, 17006, 2371, 236761, 138, 107, 236772, 6890, 506, 30136, 623, 34791, 7205, 12799, 573, 13719, 5716, 236775, 568, 976, 8105, 236764, 1494, 9703, 236768, 573, 66056, 562, 236858, 236751, 21838, 7704, 236761, 138, 107, 236772, 1701, 66056, 603, 236764, 27968, 623, 94636, 10293, 7205, 15337, 236775, 1131, 45774, 531, 8913, 607, 10969, 3927, 15067, 236761, 138, 108, 38786, 611, 1133, 531, 43928, 7715, 25519, 653, 14274, 3136, 35719, 2721, 580, 1239, 130194, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 61232, 1023, 3798, 1698, 1757, 12940, 7545, 236761, 28344, 611, 1502, 684, 4710, 496, 13128, 30136, 9960, 1534, 623, 34791, 7205, 12799, 236775, 532, 623, 199283, 7205, 15337, 51653, 564, 1461, 531, 3050, 837, 3755, 2729, 2480, 3927, 5542, 7728, 236761, 8105, 7002, 573, 1023, 28597, 236772, 29852, 5602, 3225, 236761, 568, 9366, 4491, 573, 1041, 1500, 236772, 1048, 2864, 1308, 611, 4024, 506, 4068, 9960, 1262, 236764, 618, 564, 236789, 859, 1202, 531, 5577, 1724, 2536, 573, 1023, 2148, 2918, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 34791, 7205, 12799, 827, 623, 10619, 236779, 42103, 1083, 11058, 41255, 236772, 18865, 7205, 12799, 827, 623, 23014, 7205, 15337, 827, 623, 199283, 7205, 8785, 827, 623, 34791, 14538, 7205, 12799, 827, 623, 26890, 236772, 6796, 7205, 15337, 14255, 623, 2305, 236779, 20845, 1083, 3714, 71832, 236779, 28128, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 58043, 1083, 623, 72155, 827, 623, 19458, 2027, 1083, 623, 114292, 23179, 623, 157775, 236779, 29263, 1083, 3714, 236755, 10922, 1083, 236743, 236778, 236761, 236812, 236810, 236764, 623, 157775, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 3991, 236779, 10328, 1083, 11058, 147716, 57335, 53580, 753, 236743, 236770, 236771, 236771, 236908, 37330, 172137, 17468, 827, 623, 17224, 198781, 1412, 753, 50618, 37330, 23753, 5641, 28441, 827, 623, 79910, 3508, 1084, 9065, 1229, 753, 138999, 23753, 71996, 23387, 152254, 623, 19859, 236779, 3970, 1083, 623, 501, 827, 623, 14801, 236779, 3970, 1083, 623, 3118, 827, 623, 28263, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 199283, 7205, 15337, 827, 623, 10619, 236779, 42103, 1083, 11058, 34791, 7205, 12799, 827, 623, 41255, 236772, 18865, 7205, 8785, 827, 623, 10671, 7205, 53981, 827, 623, 23014, 7205, 39292, 827, 623, 163914, 55600, 742, 7205, 12799, 14255, 623, 2305, 236779, 20845, 1083, 3714, 199283, 7205, 15337, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 34791, 7205, 12799, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 41255, 236772, 18865, 7205, 8785, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 10671, 7205, 53981, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 23014, 7205, 39292, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 163914, 55600, 742, 7205, 12799, 1083, 236743, 236819, 236771, 236771, 1263, 623, 157775, 236779, 29263, 1083, 3714, 199283, 7205, 15337, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236778, 236761, 236812, 236810, 1263, 623, 34791, 7205, 12799, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236778, 236761, 236770, 1263, 623, 41255, 236772, 18865, 7205, 8785, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236828, 1263, 623, 10671, 7205, 53981, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236800, 236828, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236825, 236810, 1263, 623, 23014, 7205, 39292, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236800, 236778, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236810, 1263, 623, 163914, 55600, 742, 7205, 12799, 1083, 3714, 553, 236779, 27629, 1083, 236743, 236771, 236761, 236778, 236810, 236764, 623, 18553, 236779, 19330, 1083, 236743, 236770, 236761, 236800, 236810, 5237, 623, 85038, 847, 1083, 11058, 24501, 28307, 756, 199283, 7205, 15337, 236789, 607, 1494, 3927, 5542, 9785, 21037, 8105, 827, 623, 80182, 1440, 236772, 14170, 7760, 528, 756, 163914, 55600, 742, 7205, 12799, 236789, 607, 3718, 8105, 827, 623, 52804, 756, 34791, 7205, 12799, 236789, 618, 496, 12030, 4596, 1941, 607, 3629, 3927, 5056, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13128, 9960, 3671, 573, 822, 3798, 1698, 1757, 12940, 7545, 236787, 108, 1018, 59256, 19791, 41959, 1018, 138, 107, 236770, 236761, 5213, 99969, 23753, 136077, 1018, 138, 107, 139, 236772, 50292, 12808, 26036, 236787, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 568, 72155, 7003, 236768, 138, 107, 139, 236772, 41157, 27242, 236787, 236743, 236832, 236828, 568, 11480, 236768, 138, 107, 139, 236772, 29748, 107964, 236787, 609, 236778, 236761, 236812, 236810, 138, 107, 139, 236772, 8231, 25966, 7428, 236787, 43804, 57335, 53580, 236764, 7086, 198781, 1412, 236764, 33677, 3508, 1084, 9065, 1229, 138, 108, 236778, 236761, 5213, 174779, 23753, 71996, 1018, 138, 107, 139, 236772, 50292, 12808, 26036, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 568, 4060, 4596, 3755, 8009, 2578, 236832, 236764, 236771, 236771, 236771, 9292, 236768, 138, 107, 139, 236772, 2341, 74305, 236787, 236743, 236771, 236761, 236825, 236810, 568, 114292, 236768, 138, 107, 139, 236772, 29748, 107964, 236787, 609, 236778, 236761, 236812, 236810, 138, 107, 139, 236772, 26959, 8105, 528, 1440, 236772, 14170, 15936, 1133, 623, 163914, 55600, 742, 7205, 12799, 236775, 6131, 236770, 236761, 236800, 236810, 107964, 236768, 108, 1018, 165108, 91330, 1018, 138, 107, 236770, 236761, 5213, 32663, 30235, 66515, 623, 174779, 7205, 15337, 236775, 5469, 2480, 8105, 236772, 1071, 236772, 54453, 7002, 573, 28597, 236772, 29852, 28675, 236764, 607, 7760, 531, 12203, 36989, 9766, 1343, 4596, 3755, 1133, 623, 163914, 55600, 742, 7205, 12799, 236775, 568, 236778, 236810, 236908, 3718, 8105, 769, 138, 107, 236778, 236761, 5213, 65757, 34428, 66515, 6890, 623, 34791, 7205, 12799, 236775, 573, 6674, 236772, 10480, 24742, 531, 12203, 48490, 5056, 236764, 840, 2414, 3715, 107964, 4204, 699, 6697, 13965, 236761, 138, 107, 236800, 236761, 5213, 184402, 56802, 66515, 10508, 30154, 1407, 623, 114292, 236775, 165574, 1271, 1966, 21238, 3798, 24742, 607, 506, 5857, 1063, 236772, 1071, 236772, 13858, 28597, 236772, 39115, 7003, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 3530, 772, 4865, 183660, 653, 7715, 25519, 29014, 2721, 580, 1239, 19455, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 1262, 236888, 3792, 236789, 236751, 27868, 1131, 61232, 772, 4865, 573, 623, 199283, 7205, 15337, 236775, 2338, 625, 3831, 506, 2480, 7002, 236761, 28344, 611, 8729, 496, 1694, 529, 7798, 4137, 1699, 506, 808, 33310, 236829, 5904, 10916, 573, 672, 30136, 236881, 564, 1461, 531, 8701, 3364, 5602, 10928, 653, 27490, 692, 1451, 3421, 528, 1023, 12940, 39389, 236764, 4285, 2101, 28597, 236772, 18289, 8112, 653, 123543, 568, 540, 2279, 236764, 39601, 236768, 2338, 1724, 659, 17597, 4331, 3298, 564, 236789, 560, 14275, 528, 5602, 9697, 236761, 568, 14946, 692, 735, 1239, 4137, 236764, 564, 236858, 236753, 1133, 531, 4071, 236772, 30449, 1091, 607, 506, 30136, 1262, 611, 3016, 3847, 531, 56856, 837, 10928, 531, 8357, 528, 1023, 24742, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 33310, 1083, 11058, 3689, 28597, 236772, 18289, 8112, 1374, 564, 1385, 573, 528, 13726, 7205, 15337, 32109, 623, 3910, 776, 10293, 5417, 528, 7205, 12799, 6060, 17597, 20361, 532, 48275, 32109, 623, 14219, 13726, 7205, 12799, 919, 22937, 1082, 15473, 3835, 32109, 623, 3689, 659, 506, 1346, 3364, 8646, 10928, 6296, 735, 1003, 7205, 15337, 32109, 623, 3910, 740, 564, 16807, 496, 5500, 236789, 236751, 24488, 8787, 573, 910, 7205, 8785, 32109, 623, 6294, 28597, 236772, 18865, 7205, 12799, 2157, 8792, 919, 1082, 4841, 3835, 32109, 623, 3689, 5417, 659, 76302, 573, 496, 7205, 236789, 236751, 5716, 528, 13726, 15337, 4463, 32109, 623, 3910, 776, 13726, 7205, 12799, 2121, 528, 3755, 529, 4022, 12126, 32109, 623, 14219, 993, 3530, 83073, 600, 15246, 30426, 3719, 10154, 32109, 623, 3910, 740, 564, 7002, 123543, 607, 24488, 1056, 16890, 7205, 12799, 236881, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 529, 5602, 4137, 573, 623, 199283, 7205, 15337, 236775, 44275, 531, 822, 12940, 28304, 236764, 3008, 607, 14971, 15136, 236787, 108, 7243, 108, 10354, 5213, 3503, 17438, 23610, 833, 47746, 22282, 217361, 1018, 138, 107, 236770, 236761, 5213, 147716, 236772, 36018, 8112, 1018, 138, 107, 139, 236772, 165996, 3689, 28597, 236772, 18289, 8112, 1374, 564, 1385, 573, 7462, 236829, 138, 107, 139, 236772, 165996, 3910, 740, 564, 16807, 496, 5500, 236858, 236751, 24488, 8787, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 4819, 568, 139584, 19246, 5210, 25289, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 118189, 83073, 1133, 667, 100607, 568, 18085, 37330, 87842, 13029, 779, 115092, 31823, 236772, 120995, 236764, 653, 15519, 17648, 528, 772, 4865, 236761, 138, 108, 236778, 236761, 5213, 38682, 2109, 833, 61286, 665, 1018, 138, 107, 139, 236772, 165996, 3910, 776, 13726, 5417, 6060, 48275, 7462, 236829, 138, 107, 139, 236772, 165996, 14219, 13726, 7205, 12799, 919, 22937, 7462, 236829, 138, 107, 139, 236772, 165996, 3910, 531, 7002, 123543, 607, 24488, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 106237, 568, 7341, 236751, 607, 5602, 4331, 3298, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 4075, 9042, 969, 4065, 1133, 623, 540, 662, 236772, 36954, 10293, 14538, 236775, 653, 623, 5843, 236772, 44905, 9130, 10418, 573, 236743, 236810, 236771, 236862, 93084, 1781, 138, 108, 236800, 236761, 5213, 23077, 161601, 1018, 138, 107, 139, 236772, 165996, 6294, 28597, 236772, 18865, 7205, 12799, 2157, 919, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 35202, 568, 9707, 17511, 7519, 840, 28597, 236772, 143198, 2015, 3187, 4242, 55985, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 31784, 1550, 23384, 236787, 165996, 32660, 528, 22937, 236764, 1908, 236772, 72401, 5417, 600, 5383, 5384, 1024, 990, 1781, 236829, 138, 108, 236812, 236761, 5213, 18942, 16661, 1018, 138, 107, 139, 236772, 165996, 3689, 5417, 659, 76302, 573, 496, 7205, 236858, 236751, 5716, 7462, 236829, 138, 107, 139, 236772, 5213, 53058, 66515, 4819, 568, 16602, 236772, 27612, 21186, 9886, 236768, 138, 107, 139, 236772, 5213, 4396, 66515, 104574, 5417, 236787, 165996, 236770, 236771, 236771, 236908, 10293, 14538, 236764, 2196, 699, 22615, 62790, 653, 21579, 1781, 236829, 138, 108, 7243, 108, 10354, 5213, 21048, 236772, 9313, 607, 123148, 5774, 1018, 138, 107, 236772, 5213, 13238, 236772, 3135, 30234, 531, 23170, 66515, 138, 107, 138, 236772, 21264, 236787, 623, 199283, 7205, 15337, 236775, 568, 236812, 236764, 236810, 236771, 236771, 13822, 34369, 236764, 21037, 8105, 236768, 138, 107, 138, 236772, 8099, 236772, 74874, 236787, 623, 163914, 55600, 742, 7205, 12799, 236775, 568, 236819, 236771, 236771, 34369, 236764, 2708, 8105, 236764, 609, 236770, 236761, 236800, 236810, 107964, 236768, 138, 107, 236772, 5213, 4036, 11371, 43645, 66515, 138, 107, 138, 236772, 6890, 623, 94636, 10293, 236775, 532, 623, 540, 662, 236772, 36954, 9130, 236775, 528, 45774, 531, 3421, 1903, 4137, 236761, 138, 107, 138, 236772, 12213, 496, 2246, 725, 1133, 165996, 31728, 1805, 6095, 1109, 667, 100607, 236772, 94636, 1109, 236743, 236770, 236771, 236771, 236908, 8901, 236772, 6796, 16593, 147698, 531, 8913, 607, 28597, 236772, 7558, 236761, 138, 108, 7243, 108, 10354, 5213, 19469, 2341, 11371, 38456, 1018, 138, 107, 1018, 140290, 66515, 138, 107, 71510, 147716, 236772, 1505, 1166, 1434, 23753, 136077, 1109, 667, 100607, 236772, 157061, 1109, 181992, 236772, 1988, 13040, 37330, 43828, 147698, 138, 108, 1018, 9770, 66515, 138, 107, 236775, 22527, 13726, 7205, 15337, 1603, 699, 236743, 236770, 236771, 236771, 236908, 10293, 14538, 236761, 5137, 22937, 236764, 1908, 236772, 72401, 40860, 659, 10418, 573, 236743, 236810, 236771, 236862, 93084, 532, 2229, 607, 15519, 17648, 22902, 236761, 9617, 12631, 580, 784, 10400, 9332, 138, 108, 1018, 236796, 67371, 3287, 66515, 138, 107, 236772, 623, 206589, 55600, 742, 16593, 236775, 138, 107, 236772, 623, 236810, 236772, 3704, 9130, 39601, 15246, 236775, 138, 107, 236772, 623, 85095, 6429, 7797, 236787, 30452, 822, 59398, 236858, 236751, 9338, 699, 5764, 531, 36896, 236775, 138, 108, 38786, 611, 1133, 531, 59638, 1239, 3342, 653, 43928, 562, 236786, 236799, 1594, 15936, 573, 3530, 5602, 20875, 568, 236744, 236761, 236759, 1126, 1171, 236772, 2289, 6296, 7728, 236761, 28597, 236772, 12335, 629, 1090, 20625, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 20054, 772, 4865, 19205, 236888, 3792, 236858, 236751, 43928, 562, 236786, 236799, 1594, 15936, 573, 5213, 6005, 236772, 2289, 6296, 1018, 7728, 236761, 5213, 41255, 236772, 12335, 629, 1090, 1018, 1699, 506, 19317, 699, 506, 30136, 532, 2934, 3671, 236761, 28344, 611, 8729, 1156, 9245, 7093, 529, 772, 4865, 4820, 568, 235754, 236764, 29141, 236764, 26827, 3287, 236768, 36443, 531, 1239, 20875, 236881, 1701, 5213, 6005, 236772, 2289, 6296, 125546, 37837, 5213, 167141, 665, 1018, 568, 540, 662, 8047, 236764, 39601, 236768, 532, 5213, 89653, 1018, 568, 9181, 236772, 72401, 5417, 769, 1701, 5213, 41255, 236772, 12335, 629, 1090, 125546, 8357, 5213, 18289, 8112, 1018, 568, 236823, 100607, 236764, 15519, 17648, 236768, 532, 5213, 125595, 4100, 1018, 568, 163914, 55600, 742, 16593, 236764, 6800, 38649, 769, 568, 14946, 1239, 659, 4464, 236764, 564, 236858, 236753, 1133, 531, 5577, 506, 30136, 8105, 1262, 699, 506, 1171, 5904, 2246, 531, 13901, 837, 13041, 2473, 2121, 2480, 528, 1494, 236772, 208306, 7728, 236761, 2708, 236772, 208306, 9576, 2907, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 34791, 7205, 12799, 827, 623, 2305, 236779, 20845, 236779, 88933, 1083, 3714, 71832, 236779, 18553, 236779, 158365, 2391, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 157775, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236778, 236810, 236764, 623, 157775, 236779, 5909, 1083, 623, 166920, 23179, 623, 10619, 236779, 42103, 1083, 11058, 41255, 236772, 18865, 7205, 15337, 827, 623, 34791, 14538, 7205, 12799, 827, 623, 199283, 7205, 8785, 827, 623, 9181, 236772, 72401, 7205, 53981, 827, 623, 10671, 7205, 12799, 14255, 623, 34032, 2168, 236779, 41427, 1083, 78493, 6061, 1083, 623, 23014, 7205, 12799, 827, 623, 2305, 236779, 20845, 1083, 236743, 236828, 236812, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236825, 236828, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236770, 1263, 3714, 6061, 1083, 623, 199283, 7205, 12799, 827, 623, 2305, 236779, 20845, 1083, 236743, 236825, 236800, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236832, 236810, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236812, 104960, 623, 202894, 236779, 28263, 1083, 3714, 11480, 236779, 236755, 10922, 236779, 91873, 1083, 11058, 236797, 185360, 2590, 827, 623, 20163, 14073, 14255, 623, 976, 236779, 236755, 10922, 236779, 91873, 1083, 11058, 41210, 10958, 827, 623, 23425, 14255, 623, 62353, 236779, 41427, 1083, 78493, 6061, 1083, 623, 34791, 7205, 12799, 573, 13719, 5716, 827, 623, 2305, 236779, 20845, 1083, 236743, 236778, 236770, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 236755, 10922, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 6061, 1083, 623, 94636, 10293, 7205, 15337, 827, 623, 2305, 236779, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 157775, 1083, 236743, 236771, 236761, 236810, 236778, 236764, 623, 236755, 10922, 1083, 236743, 236770, 236761, 236771, 236810, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 42999, 1083, 623, 199283, 7205, 15337, 827, 623, 10619, 236779, 42103, 1083, 11058, 34791, 7205, 12799, 827, 623, 41255, 236772, 18865, 7205, 8785, 827, 623, 9181, 236772, 72401, 7205, 53981, 827, 623, 163914, 55600, 742, 7205, 15337, 827, 623, 103549, 7205, 8013, 14255, 623, 2305, 236779, 20845, 1083, 3714, 71832, 236779, 28128, 1083, 236743, 236828, 236778, 236771, 236771, 236764, 623, 58043, 1083, 623, 72155, 827, 623, 19458, 2027, 1083, 623, 3704, 236772, 979, 23179, 623, 157775, 236779, 29263, 1083, 3714, 157775, 236779, 8318, 1083, 236743, 236832, 236810, 236764, 623, 28128, 236779, 236755, 10922, 1083, 6610, 236770, 236761, 236778, 236771, 827, 623, 3991, 236779, 39491, 51985, 1083, 11058, 147716, 57335, 6654, 827, 623, 17224, 139734, 827, 623, 79910, 30413, 152254, 623, 231787, 1083, 3714, 93855, 236779, 38651, 1083, 3714, 3118, 236779, 20163, 1083, 236743, 236819, 236778, 236764, 623, 3118, 236779, 36257, 1083, 236743, 236825, 236828, 236764, 623, 26179, 1083, 236743, 236810, 236812, 1263, 623, 34791, 236779, 21314, 236779, 23460, 1083, 3714, 34791, 236779, 23788, 1083, 236743, 236812, 236778, 236764, 623, 23460, 236779, 23788, 1083, 236743, 236810, 236828, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 562, 236786, 236799, 1594, 15936, 532, 3736, 3671, 236787, 108, 7243, 108, 10354, 5213, 4036, 11371, 98625, 1018, 138, 107, 2595, 5213, 36276, 562, 236787, 5315, 236772, 2866, 45967, 1018, 138, 107, 1018, 140290, 66515, 138, 107, 71510, 894, 662, 236772, 1988, 13040, 37330, 23753, 136077, 1109, 236743, 236810, 236771, 236862, 32971, 15933, 2109, 1109, 10645, 236772, 228160, 26810, 147698, 138, 108, 1018, 9770, 66515, 138, 107, 236775, 4199, 6296, 2765, 1023, 22937, 236764, 28597, 236772, 18865, 7205, 12799, 1603, 699, 236743, 236770, 236771, 236771, 236908, 10293, 14538, 236761, 133989, 573, 12609, 48275, 236764, 6338, 573, 13719, 5716, 236764, 532, 5284, 531, 1774, 1343, 1418, 47722, 236761, 9617, 7623, 9332, 138, 108, 1018, 236796, 67371, 3287, 66515, 138, 107, 236772, 623, 40585, 22189, 1037, 236772, 62353, 9130, 236775, 138, 107, 236772, 623, 35922, 236772, 1942, 15246, 580, 15769, 8047, 236775, 138, 107, 236772, 623, 28824, 598, 6374, 573, 127351, 236787, 115092, 31823, 236772, 120995, 19743, 236775, 138, 108, 7243, 108, 2595, 5213, 36276, 603, 236787, 43804, 236772, 23423, 629, 1090, 1018, 138, 107, 1018, 140290, 66515, 138, 107, 71510, 236823, 100607, 236772, 157061, 48233, 23753, 71996, 1109, 73068, 55600, 742, 65386, 1109, 29515, 236772, 20809, 147698, 138, 108, 1018, 9770, 66515, 138, 107, 236775, 31728, 800, 7205, 8013, 607, 15519, 17648, 22902, 236761, 5137, 12799, 659, 43374, 699, 236743, 236770, 236771, 236771, 236908, 10293, 14538, 236764, 53403, 528, 106326, 5417, 236764, 532, 6800, 236772, 45258, 699, 5764, 531, 8341, 236761, 29134, 506, 3826, 14994, 1781, 138, 108, 1018, 236796, 67371, 3287, 66515, 138, 107, 236772, 623, 11620, 822, 59398, 236858, 236751, 5743, 236772, 86248, 9338, 236775, 138, 107, 236772, 623, 236770, 236908, 573, 506, 38342, 8324, 236787, 236743, 236770, 236908, 529, 5886, 3055, 151302, 236775, 138, 107, 236772, 623, 5766, 17350, 1948, 236787, 9657, 2255, 12799, 573, 36498, 236775, 138, 108, 7243, 108, 10354, 5213, 52277, 13768, 684, 107964, 19037, 1018, 138, 107, 236770, 236761, 5213, 13238, 236772, 208306, 81528, 568, 236797, 185360, 236786, 20163, 14073, 2590, 62902, 236787, 138, 107, 139, 236772, 5213, 17043, 31389, 66515, 808, 36276, 562, 236829, 568, 7280, 236772, 2866, 45967, 236768, 138, 107, 139, 236772, 5213, 224693, 66515, 138, 107, 141, 236772, 34474, 3927, 5542, 573, 10231, 3755, 1133, 623, 540, 662, 236772, 36954, 10293, 14538, 236775, 568, 236770, 236778, 236764, 236810, 236771, 236771, 13822, 34369, 573, 623, 34791, 7205, 12799, 4248, 138, 107, 141, 236772, 26959, 8105, 6317, 568, 236771, 236761, 236812, 236810, 236768, 573, 36989, 3755, 1133, 623, 34791, 7205, 12799, 573, 13719, 5716, 236775, 568, 7341, 236751, 607, 66056, 562, 236858, 236751, 5646, 3213, 769, 138, 107, 141, 236772, 107964, 6131, 236771, 236761, 236819, 236810, 236768, 563, 236743, 236778, 236810, 236908, 3718, 1082, 66056, 603, 236858, 236751, 3328, 3755, 236761, 138, 108, 236778, 236761, 5213, 26834, 236772, 208306, 81528, 568, 41210, 10958, 236786, 23425, 2590, 62902, 236787, 138, 107, 139, 236772, 5213, 17043, 31389, 66515, 808, 36276, 603, 236829, 568, 147716, 236772, 23423, 629, 1090, 236768, 138, 107, 139, 236772, 5213, 224693, 66515, 138, 107, 141, 236772, 26959, 8105, 568, 8318, 236787, 236743, 236771, 236761, 236810, 236778, 236768, 573, 623, 94636, 10293, 7205, 15337, 236775, 568, 236770, 236764, 236828, 236771, 236771, 13822, 34369, 769, 138, 107, 141, 236772, 43804, 236772, 12335, 629, 1090, 528, 1239, 9576, 1407, 3715, 15154, 607, 1550, 236772, 27612, 39389, 568, 236744, 236761, 236759, 1126, 623, 25510, 236772, 45258, 236775, 34369, 872, 236743, 236770, 236810, 236908, 216670, 769, 138, 107, 141, 236772, 107964, 6131, 236770, 236761, 236771, 236810, 236768, 563, 13128, 607, 66056, 562, 236858, 236751, 25898, 3755, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236772, 40440, 562, 236786, 236799, 7713, 607, 5213, 36276, 562, 1018, 528, 1494, 236772, 208306, 9576, 532, 5213, 36276, 603, 1018, 528, 2708, 236772, 208306, 9576, 531, 30726, 17006, 2371, 236761, 138, 107, 236772, 6890, 506, 30136, 623, 34791, 7205, 12799, 573, 13719, 5716, 236775, 568, 976, 8105, 236764, 1494, 9703, 236768, 573, 66056, 562, 236858, 236751, 21838, 7704, 236761, 138, 107, 236772, 1701, 66056, 603, 236764, 27968, 623, 94636, 10293, 7205, 15337, 236775, 1131, 45774, 531, 8913, 607, 10969, 3927, 15067, 236761, 138, 108, 38786, 611, 1133, 531, 43928, 7715, 25519, 653, 14274, 3136, 35719, 2721, 580, 1239, 130194, 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, 531, 9279, 1041, 17785, 573, 1774, 2069, 236761, 564, 5934, 236743, 236812, 236771, 3885, 657, 609, 236778, 236810, 614, 6468, 236764, 2915, 236743, 236810, 47854, 3885, 657, 990, 236772, 624, 236772, 236746, 236772, 19836, 236761, 3199, 611, 1845, 600, 6596, 573, 786, 1699, 600, 17785, 25805, 5904, 611, 236858, 560, 2506, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 220929, 1083, 236743, 236770, 236771, 236771, 236771, 236761, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 220929, 1083, 236743, 236770, 236828, 236832, 236761, 236810, 236764, 623, 154521, 236779, 13308, 1083, 3714, 180981, 236779, 4720, 1083, 236743, 236800, 236832, 236761, 236810, 236764, 623, 24392, 236779, 65980, 1083, 236743, 236810, 236764, 623, 6725, 1083, 236743, 236770, 236828, 236832, 236761, 236810, 1807, 106, 107, 105, 4368, 107, 11069, 2558, 17785, 573, 1774, 2069, 659, 5213, 236795, 236770, 236764, 236770, 236828, 236832, 236761, 236810, 236771, 84750, 138, 108, 10354, 166977, 236787, 138, 107, 236772, 5213, 27753, 3885, 568, 236812, 236771, 3885, 15666, 609, 236778, 236810, 236786, 13807, 1473, 1018, 609, 236770, 236764, 236771, 236771, 236771, 236761, 236771, 236771, 138, 107, 236772, 5213, 4330, 2289, 3885, 568, 236810, 3885, 15666, 609, 236800, 236832, 236761, 236810, 236771, 236786, 13807, 1473, 1018, 609, 236770, 236828, 236832, 236761, 236810, 236771, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 103453, 106, 107, 105, 2364, 107, 113106, 236764, 564, 236858, 236757, 1751, 495, 236858, 1003, 2660, 495, 236858, 496, 4284, 7946, 1679, 19109, 236743, 236825, 236825, 672, 5312, 236761, 564, 236858, 560, 2506, 600, 10561, 56670, 2290, 528, 842, 236761, 11210, 2148, 2297, 236764, 834, 7463, 5524, 496, 2321, 21274, 3008, 506, 1595, 236761, 3199, 611, 1161, 600, 3207, 1262, 5904, 531, 1586, 786, 1070, 5427, 16746, 3008, 19109, 236743, 236825, 236825, 1534, 10561, 532, 842, 236761, 11210, 236881, 564, 236858, 236757, 1385, 495, 236858, 573, 6666, 607, 1535, 7681, 17320, 532, 7463, 1070, 43406, 4252, 4083, 236761, 7062, 236764, 532, 2426, 768, 1027, 529, 14679, 581, 735, 1724, 15341, 122927, 607, 3789, 600, 236858, 236751, 5367, 7856, 145301, 236858, 573, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2731, 822, 19109, 236743, 236825, 236825, 19063, 236888, 5978, 506, 3207, 236779, 1516, 5904, 4038, 236789, 236745, 10916, 5957, 573, 19109, 236743, 236825, 236825, 21274, 653, 7681, 17320, 236764, 564, 740, 3600, 1070, 22799, 20627, 1534, 10561, 532, 842, 236761, 11210, 600, 4241, 822, 10521, 236787, 108, 236770, 236761, 5213, 236863, 551, 3862, 236764, 15237, 1018, 753, 6863, 529, 506, 623, 175249, 34882, 236775, 30644, 532, 9760, 122927, 1133, 669, 40440, 522, 22059, 107, 236778, 236761, 5213, 13743, 3593, 236764, 15237, 1018, 753, 37093, 26123, 7088, 900, 91604, 7681, 17320, 528, 506, 17110, 7905, 107, 236800, 236761, 5213, 61395, 495, 6914, 236764, 15237, 1018, 753, 171300, 4221, 89806, 32468, 532, 506, 9639, 730, 833, 667, 184780, 568, 36713, 3789, 15520, 107, 236812, 236761, 5213, 236823, 3301, 498, 236764, 15237, 1018, 753, 7940, 7171, 43406, 13163, 900, 33946, 7940, 8208, 657, 506, 8098, 36835, 31537, 5407, 107, 236810, 236761, 5213, 80710, 58315, 236764, 15237, 1018, 753, 43902, 22964, 607, 506, 94241, 236762, 25239, 568, 224673, 19575, 236768, 532, 7516, 7681, 16746, 108, 2542, 7681, 17320, 236764, 564, 236789, 236753, 1202, 822, 3530, 4563, 15375, 531, 1161, 506, 7681, 7805, 91422, 5904, 236761, 32647, 786, 531, 1601, 607, 600, 573, 1027, 2931, 5148, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 1502, 607, 222412, 236764, 15237, 236761, 564, 5630, 611, 6950, 600, 142759, 5148, 815, 1535, 7681, 236761, 3199, 611, 1161, 506, 7681, 7805, 91422, 5904, 993, 236881, 564, 236858, 236753, 2765, 531, 1281, 1298, 531, 14304, 496, 8578, 1651, 564, 236858, 236757, 16329, 855, 1724, 43406, 13163, 236761, 7062, 236764, 532, 768, 611, 236858, 560, 2506, 990, 236764, 1677, 600, 5148, 735, 1027, 17110, 16746, 19240, 531, 19109, 236743, 236825, 236825, 4850, 236881, 9929, 236764, 2255, 4314, 14996, 653, 23915, 11005, 2036, 8101, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 194618, 754, 9824, 33557, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 222412, 236764, 15237, 236743, 236825, 236778, 236771, 236812, 236812, 827, 623, 17178, 236779, 100403, 1083, 236743, 236771, 236761, 236810, 236764, 623, 18146, 1363, 1083, 623, 4202, 1154, 44685, 8858, 23844, 22064, 827, 623, 24392, 1083, 623, 236832, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1144, 564, 1765, 573, 222412, 236764, 15237, 236787, 108, 244360, 5213, 61767, 18591, 66515, 138, 107, 1018, 194618, 754, 9824, 33557, 1018, 138, 107, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 6400, 842, 236764, 222412, 236764, 15237, 236743, 236825, 236778, 236771, 236812, 236812, 138, 107, 236772, 46783, 236787, 236743, 236771, 236761, 236810, 7635, 699, 22964, 138, 107, 236772, 102496, 236787, 181302, 44685, 623, 7195, 23844, 22064, 236775, 138, 107, 236772, 35174, 236787, 236743, 236832, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 138, 108, 248290, 5213, 6870, 236743, 236825, 236825, 10358, 66515, 138, 107, 8409, 1041, 6436, 1537, 236858, 236745, 5467, 1694, 11858, 7088, 236764, 222412, 563, 9639, 573, 236787, 138, 107, 236772, 5213, 236823, 3301, 498, 14629, 1018, 568, 236770, 236828, 236828, 236828, 79744, 6812, 19109, 236743, 236825, 236825, 14871, 236768, 138, 107, 236772, 5213, 21221, 8193, 13942, 16995, 14629, 1018, 568, 51076, 236743, 236770, 236819, 236778, 236771, 236751, 1702, 236764, 1492, 496, 11285, 6282, 7805, 236768, 138, 107, 236772, 5213, 20418, 36835, 38406, 1018, 568, 3350, 19109, 236743, 236825, 236825, 20239, 506, 33946, 7940, 236768, 138, 108, 38786, 611, 1133, 786, 531, 2426, 7681, 7805, 4889, 573, 2264, 5148, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 531, 9279, 1041, 17785, 573, 1774, 2069, 236761, 564, 5934, 236743, 236812, 236771, 3885, 657, 609, 236778, 236810, 614, 6468, 236764, 2915, 236743, 236810, 47854, 3885, 657, 990, 236772, 624, 236772, 236746, 236772, 19836, 236761, 3199, 611, 1845, 600, 6596, 573, 786, 1699, 600, 17785, 25805, 5904, 611, 236858, 560, 2506, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 220929, 1083, 236743, 236770, 236771, 236771, 236771, 236761, 236771, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 220929, 1083, 236743, 236770, 236828, 236832, 236761, 236810, 236764, 623, 154521, 236779, 13308, 1083, 3714, 180981, 236779, 4720, 1083, 236743, 236800, 236832, 236761, 236810, 236764, 623, 24392, 236779, 65980, 1083, 236743, 236810, 236764, 623, 6725, 1083, 236743, 236770, 236828, 236832, 236761, 236810, 1807, 106, 107, 105, 4368, 107, 11069, 2558, 17785, 573, 1774, 2069, 659, 5213, 236795, 236770, 236764, 236770, 236828, 236832, 236761, 236810, 236771, 84750, 138, 108, 10354, 166977, 236787, 138, 107, 236772, 5213, 27753, 3885, 568, 236812, 236771, 3885, 15666, 609, 236778, 236810, 236786, 13807, 1473, 1018, 609, 236770, 236764, 236771, 236771, 236771, 236761, 236771, 236771, 138, 107, 236772, 5213, 4330, 2289, 3885, 568, 236810, 3885, 15666, 609, 236800, 236832, 236761, 236810, 236771, 236786, 13807, 1473, 1018, 609, 236770, 236828, 236832, 236761, 236810, 236771, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 103453, 106, 107, 105, 2364, 107, 113106, 236764, 564, 236858, 236757, 1751, 495, 236858, 1003, 2660, 495, 236858, 496, 4284, 7946, 1679, 19109, 236743, 236825, 236825, 672, 5312, 236761, 564, 236858, 560, 2506, 600, 10561, 56670, 2290, 528, 842, 236761, 11210, 2148, 2297, 236764, 834, 7463, 5524, 496, 2321, 21274, 3008, 506, 1595, 236761, 3199, 611, 1161, 600, 3207, 1262, 5904, 531, 1586, 786, 1070, 5427, 16746, 3008, 19109, 236743, 236825, 236825, 1534, 10561, 532, 842, 236761, 11210, 236881, 564, 236858, 236757, 1385, 495, 236858, 573, 6666, 607, 1535, 7681, 17320, 532, 7463, 1070, 43406, 4252, 4083, 236761, 7062, 236764, 532, 2426, 768, 1027, 529, 14679, 581, 735, 1724, 15341, 122927, 607, 3789, 600, 236858, 236751, 5367, 7856, 145301, 236858, 573, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2731, 822, 19109, 236743, 236825, 236825, 19063, 236888, 5978, 506, 3207, 236779, 1516, 5904, 4038, 236789, 236745, 10916, 5957, 573, 19109, 236743, 236825, 236825, 21274, 653, 7681, 17320, 236764, 564, 740, 3600, 1070, 22799, 20627, 1534, 10561, 532, 842, 236761, 11210, 600, 4241, 822, 10521, 236787, 108, 236770, 236761, 5213, 236863, 551, 3862, 236764, 15237, 1018, 753, 6863, 529, 506, 623, 175249, 34882, 236775, 30644, 532, 9760, 122927, 1133, 669, 40440, 522, 22059, 107, 236778, 236761, 5213, 13743, 3593, 236764, 15237, 1018, 753, 37093, 26123, 7088, 900, 91604, 7681, 17320, 528, 506, 17110, 7905, 107, 236800, 236761, 5213, 61395, 495, 6914, 236764, 15237, 1018, 753, 171300, 4221, 89806, 32468, 532, 506, 9639, 730, 833, 667, 184780, 568, 36713, 3789, 15520, 107, 236812, 236761, 5213, 236823, 3301, 498, 236764, 15237, 1018, 753, 7940, 7171, 43406, 13163, 900, 33946, 7940, 8208, 657, 506, 8098, 36835, 31537, 5407, 107, 236810, 236761, 5213, 80710, 58315, 236764, 15237, 1018, 753, 43902, 22964, 607, 506, 94241, 236762, 25239, 568, 224673, 19575, 236768, 532, 7516, 7681, 16746, 108, 2542, 7681, 17320, 236764, 564, 236789, 236753, 1202, 822, 3530, 4563, 15375, 531, 1161, 506, 7681, 7805, 91422, 5904, 236761, 32647, 786, 531, 1601, 607, 600, 573, 1027, 2931, 5148, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 1502, 607, 222412, 236764, 15237, 236761, 564, 5630, 611, 6950, 600, 142759, 5148, 815, 1535, 7681, 236761, 3199, 611, 1161, 506, 7681, 7805, 91422, 5904, 993, 236881, 564, 236858, 236753, 2765, 531, 1281, 1298, 531, 14304, 496, 8578, 1651, 564, 236858, 236757, 16329, 855, 1724, 43406, 13163, 236761, 7062, 236764, 532, 768, 611, 236858, 560, 2506, 990, 236764, 1677, 600, 5148, 735, 1027, 17110, 16746, 19240, 531, 19109, 236743, 236825, 236825, 4850, 236881, 9929, 236764, 2255, 4314, 14996, 653, 23915, 11005, 2036, 8101, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 194618, 754, 9824, 33557, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 222412, 236764, 15237, 236743, 236825, 236778, 236771, 236812, 236812, 827, 623, 17178, 236779, 100403, 1083, 236743, 236771, 236761, 236810, 236764, 623, 18146, 1363, 1083, 623, 4202, 1154, 44685, 8858, 23844, 22064, 827, 623, 24392, 1083, 623, 236832, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1144, 564, 1765, 573, 222412, 236764, 15237, 236787, 108, 244360, 5213, 61767, 18591, 66515, 138, 107, 1018, 194618, 754, 9824, 33557, 1018, 138, 107, 236772, 15874, 236787, 236743, 236770, 236778, 236800, 6400, 842, 236764, 222412, 236764, 15237, 236743, 236825, 236778, 236771, 236812, 236812, 138, 107, 236772, 46783, 236787, 236743, 236771, 236761, 236810, 7635, 699, 22964, 138, 107, 236772, 102496, 236787, 181302, 44685, 623, 7195, 23844, 22064, 236775, 138, 107, 236772, 35174, 236787, 236743, 236832, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 138, 108, 248290, 5213, 6870, 236743, 236825, 236825, 10358, 66515, 138, 107, 8409, 1041, 6436, 1537, 236858, 236745, 5467, 1694, 11858, 7088, 236764, 222412, 563, 9639, 573, 236787, 138, 107, 236772, 5213, 236823, 3301, 498, 14629, 1018, 568, 236770, 236828, 236828, 236828, 79744, 6812, 19109, 236743, 236825, 236825, 14871, 236768, 138, 107, 236772, 5213, 21221, 8193, 13942, 16995, 14629, 1018, 568, 51076, 236743, 236770, 236819, 236778, 236771, 236751, 1702, 236764, 1492, 496, 11285, 6282, 7805, 236768, 138, 107, 236772, 5213, 20418, 36835, 38406, 1018, 568, 3350, 19109, 236743, 236825, 236825, 20239, 506, 33946, 7940, 236768, 138, 108, 38786, 611, 1133, 786, 531, 2426, 7681, 7805, 4889, 573, 2264, 5148, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 120189, 1590, 236888, 7134, 236764, 564, 236789, 236757, 981, 495, 236789, 580, 2247, 43212, 236789, 3075, 496, 2268, 43317, 573, 506, 11858, 7299, 1003, 1023, 5148, 236789, 236751, 37813, 1051, 236764, 236743, 236770, 236828, 236828, 236832, 236761, 564, 236789, 560, 2506, 496, 6290, 17116, 2258, 3393, 573, 506, 2890, 237028, 236865, 236812, 236776, 236778, 236811, 236832, 236796, 237028, 5503, 506, 25310, 3548, 20991, 142625, 2979, 236761, 6542, 236764, 564, 1461, 531, 4928, 768, 600, 1051, 691, 496, 42681, 1051, 653, 711, 236761, 28344, 611, 1601, 786, 7352, 506, 2258, 532, 2426, 506, 42681, 1051, 236881, 564, 236789, 236753, 2889, 14756, 625, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236755, 1083, 236743, 236812, 236770, 236764, 623, 236757, 1083, 236743, 236825, 236778, 236764, 623, 236762, 1083, 236743, 236771, 236764, 623, 236767, 1083, 236743, 236810, 236770, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 196823, 236779, 3704, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 818, 17116, 2258, 3393, 5213, 236865, 236812, 236776, 236778, 236811, 236832, 236796, 1018, 47874, 531, 506, 2269, 20991, 142625, 2979, 236787, 138, 107, 1018, 236780, 236787, 236743, 236812, 236770, 10014, 587, 236787, 236743, 236825, 236778, 10014, 895, 236787, 236743, 236771, 10014, 751, 236787, 236743, 236810, 236770, 236908, 1018, 138, 108, 47622, 236764, 5213, 236770, 236828, 236828, 236832, 691, 711, 496, 42681, 1051, 84750, 111444, 1518, 659, 69330, 684, 236743, 236812, 236764, 840, 768, 69330, 684, 236743, 236770, 236771, 236771, 236764, 901, 1921, 992, 577, 69330, 684, 236743, 236812, 236771, 236771, 236761, 5612, 236743, 236770, 236828, 236828, 236832, 20269, 1239, 13138, 236764, 625, 563, 711, 496, 42681, 1051, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 1601, 607, 506, 43317, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 120189, 1590, 236888, 7134, 236764, 564, 236789, 236757, 981, 495, 236789, 580, 2247, 43212, 236789, 3075, 496, 2268, 43317, 573, 506, 11858, 7299, 1003, 1023, 5148, 236789, 236751, 37813, 1051, 236764, 236743, 236770, 236828, 236828, 236832, 236761, 564, 236789, 560, 2506, 496, 6290, 17116, 2258, 3393, 573, 506, 2890, 237028, 236865, 236812, 236776, 236778, 236811, 236832, 236796, 237028, 5503, 506, 25310, 3548, 20991, 142625, 2979, 236761, 6542, 236764, 564, 1461, 531, 4928, 768, 600, 1051, 691, 496, 42681, 1051, 653, 711, 236761, 28344, 611, 1601, 786, 7352, 506, 2258, 532, 2426, 506, 42681, 1051, 236881, 564, 236789, 236753, 2889, 14756, 625, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236755, 1083, 236743, 236812, 236770, 236764, 623, 236757, 1083, 236743, 236825, 236778, 236764, 623, 236762, 1083, 236743, 236771, 236764, 623, 236767, 1083, 236743, 236810, 236770, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 196823, 236779, 3704, 1083, 2416, 236783, 106, 107, 105, 4368, 107, 818, 17116, 2258, 3393, 5213, 236865, 236812, 236776, 236778, 236811, 236832, 236796, 1018, 47874, 531, 506, 2269, 20991, 142625, 2979, 236787, 138, 107, 1018, 236780, 236787, 236743, 236812, 236770, 10014, 587, 236787, 236743, 236825, 236778, 10014, 895, 236787, 236743, 236771, 10014, 751, 236787, 236743, 236810, 236770, 236908, 1018, 138, 108, 47622, 236764, 5213, 236770, 236828, 236828, 236832, 691, 711, 496, 42681, 1051, 84750, 111444, 1518, 659, 69330, 684, 236743, 236812, 236764, 840, 768, 69330, 684, 236743, 236770, 236771, 236771, 236764, 901, 1921, 992, 577, 69330, 684, 236743, 236812, 236771, 236771, 236761, 5612, 236743, 236770, 236828, 236828, 236832, 20269, 1239, 13138, 236764, 625, 563, 711, 496, 42681, 1051, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 1601, 607, 506, 43317, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 24333, 236764, 564, 1202, 611, 531, 33205, 4889, 573, 496, 3530, 1610, 2260, 580, 9593, 236761, 669, 1698, 5853, 563, 15000, 236772, 236770, 236800, 236787, 236743, 236819, 236832, 236828, 236772, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236761, 6890, 506, 974, 236779, 30053, 236779, 5930, 236779, 13308, 5904, 607, 506, 9299, 2307, 756, 119269, 9175, 236778, 236771, 236778, 236800, 6748, 1174, 563, 496, 151103, 580, 11629, 39000, 236772, 561, 650, 753, 564, 1461, 531, 16807, 1061, 14314, 4889, 1680, 76007, 625, 531, 1041, 8709, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 52151, 236772, 236770, 236800, 236787, 236743, 236819, 236832, 236828, 236772, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 827, 623, 3250, 1083, 623, 40806, 39000, 236772, 561, 650, 236787, 562, 4325, 2667, 580, 4923, 87560, 52259, 827, 623, 9707, 1083, 6610, 236778, 236812, 236761, 236819, 236810, 827, 623, 7777, 1083, 623, 236776, 13611, 151103, 22260, 506, 1972, 532, 4146, 529, 21568, 8325, 11629, 39000, 236772, 561, 650, 236764, 18482, 1494, 236772, 35396, 4876, 529, 914, 25687, 236764, 11858, 4403, 236764, 532, 6749, 47754, 10498, 623, 56905, 1083, 623, 902, 13827, 827, 623, 119789, 236779, 13308, 1083, 3714, 68477, 1083, 623, 158058, 4585, 7161, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 19859, 1083, 623, 27832, 827, 623, 11134, 1083, 236743, 236778, 236812, 236828, 1263, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236800, 236778, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 27662, 4889, 573, 506, 11629, 39000, 236772, 561, 650, 151103, 236787, 108, 1018, 7396, 53121, 808, 40806, 39000, 236772, 561, 650, 236787, 562, 4325, 2667, 580, 4923, 87560, 52259, 236829, 138, 107, 1018, 62365, 53121, 50215, 4585, 7161, 138, 107, 1018, 81606, 6809, 53121, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236778, 138, 107, 1018, 28040, 53121, 5422, 138, 107, 1018, 26685, 53121, 236743, 236778, 236812, 236828, 138, 107, 1018, 11280, 53121, 609, 236778, 236812, 236761, 236819, 236810, 138, 107, 1018, 51164, 53121, 799, 13827, 138, 108, 1018, 27779, 70731, 53121, 138, 107, 236772, 25772, 1494, 236772, 35396, 4876, 529, 11629, 236789, 236751, 25687, 138, 107, 236772, 49308, 11858, 4403, 532, 6749, 47754, 138, 107, 236772, 29748, 47240, 236787, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236800, 236778, 236810, 10595, 236768, 138, 108, 2094, 7412, 531, 577, 496, 1388, 236772, 234279, 236764, 13611, 6511, 580, 11629, 39000, 236772, 561, 650, 236789, 236751, 981, 236764, 6469, 528, 496, 4803, 5422, 12301, 236761, 5180, 8709, 1149, 14756, 1800, 506, 25075, 532, 11858, 1550, 529, 672, 5542, 236888, 106, 107, 105, 2364, 107, 24333, 236764, 8729, 496, 16553, 529, 506, 9593, 1698, 3104, 573, 672, 11629, 39000, 236772, 561, 650, 151103, 236761, 6890, 506, 8729, 236779, 10888, 5904, 607, 506, 10739, 756, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 40806, 236772, 154379, 236772, 561, 650, 236772, 10505, 2667, 236772, 15989, 236772, 9175, 3316, 236786, 19615, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236789, 532, 4077, 13376, 236761, 564, 1461, 531, 4553, 506, 16553, 531, 1041, 8709, 573, 1116, 1610, 4083, 2958, 1271, 5330, 506, 11273, 41080, 784, 506, 4876, 532, 10595, 8207, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10888, 236779, 2451, 1083, 623, 2574, 1411, 10888, 236772, 37223, 236761, 8358, 236761, 854, 236786, 59639, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 827, 623, 4818, 1083, 623, 40812, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236770, 236771, 236778, 236812, 236764, 623, 4603, 1083, 236743, 236832, 236828, 236771, 1263, 623, 19294, 236779, 2883, 1083, 623, 2574, 1411, 10888, 236772, 37223, 236761, 8358, 236761, 854, 236786, 59639, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236786, 19294, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7835, 16553, 529, 506, 9593, 1698, 3104, 573, 822, 5577, 236787, 108, 249982, 5213, 18086, 10297, 53121, 870, 40806, 39000, 236772, 561, 650, 4325, 2667, 16553, 5457, 2574, 1411, 10888, 236772, 37223, 236761, 8358, 236761, 854, 236786, 59639, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236786, 19294, 236768, 138, 107, 248930, 5213, 55141, 53121, 236743, 236770, 236771, 236778, 236812, 236781, 236832, 236828, 236771, 18033, 568, 23771, 11273, 236768, 138, 107, 240732, 5213, 4795, 53121, 49308, 1698, 4876, 236764, 6492, 236764, 3385, 236764, 532, 3540, 10458, 138, 108, 818, 16553, 815, 1010, 10778, 531, 12203, 784, 2307, 4820, 529, 506, 3104, 236761, 5180, 8709, 740, 1492, 3540, 506, 2260, 236789, 236751, 4889, 236764, 2440, 1061, 25075, 3004, 532, 5602, 9697, 236764, 5467, 699, 506, 2354, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1027, 30981, 236888, 106, 107, 105, 2364, 107, 24333, 236764, 3927, 573, 6387, 4889, 1003, 756, 135375, 38509, 149932, 236789, 1699, 506, 3927, 236779, 21000, 236779, 13308, 5904, 236761, 1174, 97628, 192261, 2473, 1601, 1041, 8709, 14756, 15082, 4252, 236789, 236751, 13690, 8744, 1271, 2426, 768, 625, 236789, 236751, 41063, 11459, 532, 2487, 580, 21566, 14175, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 135375, 38509, 149932, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236819, 236812, 236764, 623, 62644, 1083, 623, 131918, 16402, 827, 623, 124977, 236779, 28611, 1083, 623, 13238, 753, 2721, 580, 97628, 236789, 236751, 1972, 607, 9578, 92372, 827, 623, 111765, 236779, 56905, 1083, 3714, 39460, 13946, 11994, 1083, 1847, 236764, 623, 236814, 13511, 1083, 1847, 236764, 623, 96074, 1083, 2416, 1263, 623, 7777, 1083, 623, 236776, 57728, 1662, 2881, 529, 72989, 3027, 97628, 236789, 236751, 1626, 2668, 236764, 22260, 914, 16438, 607, 212784, 236764, 723, 2089, 1552, 2765, 236764, 532, 25075, 37572, 236761, 25772, 24636, 2846, 7846, 532, 15082, 4252, 19575, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 1003, 808, 135375, 38509, 149932, 236829, 573, 822, 8709, 236789, 236751, 11231, 236787, 108, 1018, 100368, 17605, 53121, 138, 107, 236776, 57728, 1662, 3819, 61666, 88807, 529, 97628, 236789, 236751, 1626, 1518, 236764, 66051, 31037, 34328, 568, 893, 2448, 1788, 236764, 723, 2089, 1552, 2765, 236768, 607, 9578, 54491, 236761, 5978, 711, 20976, 59893, 236764, 625, 41080, 506, 13690, 26761, 529, 914, 1972, 532, 25075, 1657, 236761, 108, 1018, 117845, 75669, 53121, 138, 107, 236772, 113452, 9593, 13946, 11994, 138, 107, 236772, 113452, 91727, 138, 107, 236772, 236743, 242523, 24868, 138, 108, 1018, 11355, 1030, 65028, 2261, 73237, 53121, 138, 107, 818, 4103, 82645, 5411, 97628, 236789, 236751, 10041, 531, 2619, 167053, 4252, 24070, 3577, 83509, 236764, 18482, 24636, 2846, 7846, 532, 19575, 529, 914, 4146, 236761, 1701, 1610, 236786, 18308, 48030, 236764, 625, 5469, 496, 100804, 5603, 531, 15082, 4252, 236789, 236751, 3246, 14546, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 4889, 1003, 3530, 21566, 14273, 568, 236744, 236761, 236759, 1126, 99429, 236764, 33652, 236768, 531, 11278, 1116, 24099, 2707, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 24333, 236764, 564, 1202, 611, 531, 33205, 4889, 573, 496, 3530, 1610, 2260, 580, 9593, 236761, 669, 1698, 5853, 563, 15000, 236772, 236770, 236800, 236787, 236743, 236819, 236832, 236828, 236772, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236761, 6890, 506, 974, 236779, 30053, 236779, 5930, 236779, 13308, 5904, 607, 506, 9299, 2307, 756, 119269, 9175, 236778, 236771, 236778, 236800, 6748, 1174, 563, 496, 151103, 580, 11629, 39000, 236772, 561, 650, 753, 564, 1461, 531, 16807, 1061, 14314, 4889, 1680, 76007, 625, 531, 1041, 8709, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 52151, 236772, 236770, 236800, 236787, 236743, 236819, 236832, 236828, 236772, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 827, 623, 3250, 1083, 623, 40806, 39000, 236772, 561, 650, 236787, 562, 4325, 2667, 580, 4923, 87560, 52259, 827, 623, 9707, 1083, 6610, 236778, 236812, 236761, 236819, 236810, 827, 623, 7777, 1083, 623, 236776, 13611, 151103, 22260, 506, 1972, 532, 4146, 529, 21568, 8325, 11629, 39000, 236772, 561, 650, 236764, 18482, 1494, 236772, 35396, 4876, 529, 914, 25687, 236764, 11858, 4403, 236764, 532, 6749, 47754, 10498, 623, 56905, 1083, 623, 902, 13827, 827, 623, 119789, 236779, 13308, 1083, 3714, 68477, 1083, 623, 158058, 4585, 7161, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 19859, 1083, 623, 27832, 827, 623, 11134, 1083, 236743, 236778, 236812, 236828, 1263, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236800, 236778, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 27662, 4889, 573, 506, 11629, 39000, 236772, 561, 650, 151103, 236787, 108, 1018, 7396, 53121, 808, 40806, 39000, 236772, 561, 650, 236787, 562, 4325, 2667, 580, 4923, 87560, 52259, 236829, 138, 107, 1018, 62365, 53121, 50215, 4585, 7161, 138, 107, 1018, 81606, 6809, 53121, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236778, 138, 107, 1018, 28040, 53121, 5422, 138, 107, 1018, 26685, 53121, 236743, 236778, 236812, 236828, 138, 107, 1018, 11280, 53121, 609, 236778, 236812, 236761, 236819, 236810, 138, 107, 1018, 51164, 53121, 799, 13827, 138, 108, 1018, 27779, 70731, 53121, 138, 107, 236772, 25772, 1494, 236772, 35396, 4876, 529, 11629, 236789, 236751, 25687, 138, 107, 236772, 49308, 11858, 4403, 532, 6749, 47754, 138, 107, 236772, 29748, 47240, 236787, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236800, 236778, 236810, 10595, 236768, 138, 108, 2094, 7412, 531, 577, 496, 1388, 236772, 234279, 236764, 13611, 6511, 580, 11629, 39000, 236772, 561, 650, 236789, 236751, 981, 236764, 6469, 528, 496, 4803, 5422, 12301, 236761, 5180, 8709, 1149, 14756, 1800, 506, 25075, 532, 11858, 1550, 529, 672, 5542, 236888, 106, 107, 105, 2364, 107, 24333, 236764, 8729, 496, 16553, 529, 506, 9593, 1698, 3104, 573, 672, 11629, 39000, 236772, 561, 650, 151103, 236761, 6890, 506, 8729, 236779, 10888, 5904, 607, 506, 10739, 756, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 40806, 236772, 154379, 236772, 561, 650, 236772, 10505, 2667, 236772, 15989, 236772, 9175, 3316, 236786, 19615, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236789, 532, 4077, 13376, 236761, 564, 1461, 531, 4553, 506, 16553, 531, 1041, 8709, 573, 1116, 1610, 4083, 2958, 1271, 5330, 506, 11273, 41080, 784, 506, 4876, 532, 10595, 8207, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10888, 236779, 2451, 1083, 623, 2574, 1411, 10888, 236772, 37223, 236761, 8358, 236761, 854, 236786, 59639, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 827, 623, 4818, 1083, 623, 40812, 827, 623, 63265, 1083, 3714, 2690, 1083, 236743, 236770, 236771, 236778, 236812, 236764, 623, 4603, 1083, 236743, 236832, 236828, 236771, 1263, 623, 19294, 236779, 2883, 1083, 623, 2574, 1411, 10888, 236772, 37223, 236761, 8358, 236761, 854, 236786, 59639, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236786, 19294, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7835, 16553, 529, 506, 9593, 1698, 3104, 573, 822, 5577, 236787, 108, 249982, 5213, 18086, 10297, 53121, 870, 40806, 39000, 236772, 561, 650, 4325, 2667, 16553, 5457, 2574, 1411, 10888, 236772, 37223, 236761, 8358, 236761, 854, 236786, 59639, 236786, 236819, 236832, 236828, 236828, 236819, 236819, 236832, 236825, 236800, 236770, 236771, 236810, 236800, 236786, 19294, 236768, 138, 107, 248930, 5213, 55141, 53121, 236743, 236770, 236771, 236778, 236812, 236781, 236832, 236828, 236771, 18033, 568, 23771, 11273, 236768, 138, 107, 240732, 5213, 4795, 53121, 49308, 1698, 4876, 236764, 6492, 236764, 3385, 236764, 532, 3540, 10458, 138, 108, 818, 16553, 815, 1010, 10778, 531, 12203, 784, 2307, 4820, 529, 506, 3104, 236761, 5180, 8709, 740, 1492, 3540, 506, 2260, 236789, 236751, 4889, 236764, 2440, 1061, 25075, 3004, 532, 5602, 9697, 236764, 5467, 699, 506, 2354, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1027, 30981, 236888, 106, 107, 105, 2364, 107, 24333, 236764, 3927, 573, 6387, 4889, 1003, 756, 135375, 38509, 149932, 236789, 1699, 506, 3927, 236779, 21000, 236779, 13308, 5904, 236761, 1174, 97628, 192261, 2473, 1601, 1041, 8709, 14756, 15082, 4252, 236789, 236751, 13690, 8744, 1271, 2426, 768, 625, 236789, 236751, 41063, 11459, 532, 2487, 580, 21566, 14175, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 135375, 38509, 149932, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236819, 236812, 236764, 623, 62644, 1083, 623, 131918, 16402, 827, 623, 124977, 236779, 28611, 1083, 623, 13238, 753, 2721, 580, 97628, 236789, 236751, 1972, 607, 9578, 92372, 827, 623, 111765, 236779, 56905, 1083, 3714, 39460, 13946, 11994, 1083, 1847, 236764, 623, 236814, 13511, 1083, 1847, 236764, 623, 96074, 1083, 2416, 1263, 623, 7777, 1083, 623, 236776, 57728, 1662, 2881, 529, 72989, 3027, 97628, 236789, 236751, 1626, 2668, 236764, 22260, 914, 16438, 607, 212784, 236764, 723, 2089, 1552, 2765, 236764, 532, 25075, 37572, 236761, 25772, 24636, 2846, 7846, 532, 15082, 4252, 19575, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 1003, 808, 135375, 38509, 149932, 236829, 573, 822, 8709, 236789, 236751, 11231, 236787, 108, 1018, 100368, 17605, 53121, 138, 107, 236776, 57728, 1662, 3819, 61666, 88807, 529, 97628, 236789, 236751, 1626, 1518, 236764, 66051, 31037, 34328, 568, 893, 2448, 1788, 236764, 723, 2089, 1552, 2765, 236768, 607, 9578, 54491, 236761, 5978, 711, 20976, 59893, 236764, 625, 41080, 506, 13690, 26761, 529, 914, 1972, 532, 25075, 1657, 236761, 108, 1018, 117845, 75669, 53121, 138, 107, 236772, 113452, 9593, 13946, 11994, 138, 107, 236772, 113452, 91727, 138, 107, 236772, 236743, 242523, 24868, 138, 108, 1018, 11355, 1030, 65028, 2261, 73237, 53121, 138, 107, 818, 4103, 82645, 5411, 97628, 236789, 236751, 10041, 531, 2619, 167053, 4252, 24070, 3577, 83509, 236764, 18482, 24636, 2846, 7846, 532, 19575, 529, 914, 4146, 236761, 1701, 1610, 236786, 18308, 48030, 236764, 625, 5469, 496, 100804, 5603, 531, 15082, 4252, 236789, 236751, 3246, 14546, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 4889, 1003, 3530, 21566, 14273, 568, 236744, 236761, 236759, 1126, 99429, 236764, 33652, 236768, 531, 11278, 1116, 24099, 2707, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 5039, 496, 1816, 3618, 531, 886, 529, 1041, 5484, 528, 13251, 236761, 2625, 1186, 26266, 14361, 236764, 834, 564, 1202, 531, 17866, 672, 3618, 236787, 623, 9259, 236764, 564, 236789, 236757, 139949, 236764, 822, 8505, 236761, 1191, 735, 496, 2290, 2148, 8224, 657, 236743, 236770, 236771, 8151, 1781, 7323, 17866, 625, 531, 14361, 236764, 532, 1299, 1527, 506, 7579, 528, 506, 14361, 3567, 834, 564, 1281, 768, 625, 19009, 2351, 506, 1816, 3618, 4576, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 21529, 236764, 19105, 139949, 236764, 4379, 42294, 19191, 236761, 79521, 723, 41947, 862, 865, 236785, 236756, 236771, 236771, 236760, 236800, 24140, 503, 236785, 236756, 236771, 236771, 236744, 236770, 236763, 1438, 496, 2137, 236743, 236770, 236771, 236787, 236771, 236771, 496, 236761, 236757, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2861, 1083, 236743, 236828, 236832, 236783, 106, 107, 105, 4368, 107, 818, 28700, 3618, 528, 14361, 563, 236787, 138, 107, 1018, 236775, 21529, 236764, 19105, 139949, 236764, 4379, 42294, 19191, 236761, 79521, 723, 41947, 862, 42419, 67314, 496, 2137, 236743, 236770, 236771, 236787, 236771, 236771, 496, 236761, 236757, 1781, 1018, 138, 108, 818, 2872, 1527, 568, 16603, 9952, 532, 88078, 236768, 563, 5213, 236828, 236832, 125546, 837, 563, 1388, 2351, 506, 4077, 36006, 4576, 529, 236743, 236770, 236825, 236771, 7579, 236761, 1599, 740, 5039, 672, 3618, 2180, 4342, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 5039, 496, 1816, 3618, 531, 886, 529, 1041, 5484, 528, 13251, 236761, 2625, 1186, 26266, 14361, 236764, 834, 564, 1202, 531, 17866, 672, 3618, 236787, 623, 9259, 236764, 564, 236789, 236757, 139949, 236764, 822, 8505, 236761, 1191, 735, 496, 2290, 2148, 8224, 657, 236743, 236770, 236771, 8151, 1781, 7323, 17866, 625, 531, 14361, 236764, 532, 1299, 1527, 506, 7579, 528, 506, 14361, 3567, 834, 564, 1281, 768, 625, 19009, 2351, 506, 1816, 3618, 4576, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 21529, 236764, 19105, 139949, 236764, 4379, 42294, 19191, 236761, 79521, 723, 41947, 862, 865, 236785, 236756, 236771, 236771, 236760, 236800, 24140, 503, 236785, 236756, 236771, 236771, 236744, 236770, 236763, 1438, 496, 2137, 236743, 236770, 236771, 236787, 236771, 236771, 496, 236761, 236757, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2861, 1083, 236743, 236828, 236832, 236783, 106, 107, 105, 4368, 107, 818, 28700, 3618, 528, 14361, 563, 236787, 138, 107, 1018, 236775, 21529, 236764, 19105, 139949, 236764, 4379, 42294, 19191, 236761, 79521, 723, 41947, 862, 42419, 67314, 496, 2137, 236743, 236770, 236771, 236787, 236771, 236771, 496, 236761, 236757, 1781, 1018, 138, 108, 818, 2872, 1527, 568, 16603, 9952, 532, 88078, 236768, 563, 5213, 236828, 236832, 125546, 837, 563, 1388, 2351, 506, 4077, 36006, 4576, 529, 236743, 236770, 236825, 236771, 7579, 236761, 1599, 740, 5039, 672, 3618, 2180, 4342, 236761, 106, 107 ]